From 2f8b1ed44a6625fd22fb484a6e94e1ea0462be4f Mon Sep 17 00:00:00 2001 From: toddheasley Date: Thu, 31 Mar 2022 15:11:44 -0400 Subject: [PATCH 1/7] Update AA+ to v2.42; port to SPM --- .gitignore | 5 + .gitmodules | 3 - .swift-version | 1 - AstronomyKit.podspec | 29 - AstronomyKit.xcodeproj/project.pbxproj | 1637 - .../xcschemes/AstronomyKit-iOS.xcscheme | 95 - .../xcschemes/AstronomyKit-macOS.xcscheme | 76 - .../xcschemes/AstronomyKit-tvOS.xcscheme | 76 - .../contents.xcplayground | 7 - .../AstronomyKit.playground/section-1.swift | 28 - AstronomyKit/Configuration/iOS/Info.plist | 26 - .../Configuration/macOS/AstronomyKit.h | 14 - AstronomyKit/Configuration/macOS/Info.plist | 26 - .../Configuration/tvOS/AstronomyKit.h | 14 - AstronomyKit/Configuration/tvOS/Info.plist | 24 - Cartfile.private | 1 - Cartfile.resolved | 1 - Carthage/Checkouts/xcconfigs | 1 - LICENSE | 21 - Package.swift | 25 + README.md | 51 +- .../AAPlus}/AAAngularSeparation.cpp | 52 +- Sources/AAPlus/AABinaryStar.cpp | 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- - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/AstronomyKit.xcodeproj/xcshareddata/xcschemes/AstronomyKit-tvOS.xcscheme b/AstronomyKit.xcodeproj/xcshareddata/xcschemes/AstronomyKit-tvOS.xcscheme deleted file mode 100644 index 82ac581..0000000 --- a/AstronomyKit.xcodeproj/xcshareddata/xcschemes/AstronomyKit-tvOS.xcscheme +++ /dev/null @@ -1,76 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/AstronomyKit/AstronomyKit.playground/contents.xcplayground b/AstronomyKit/AstronomyKit.playground/contents.xcplayground deleted file mode 100644 index 8e39341..0000000 --- a/AstronomyKit/AstronomyKit.playground/contents.xcplayground +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - \ No newline at end of file diff --git a/AstronomyKit/AstronomyKit.playground/section-1.swift b/AstronomyKit/AstronomyKit.playground/section-1.swift deleted file mode 100644 index d909648..0000000 --- a/AstronomyKit/AstronomyKit.playground/section-1.swift +++ /dev/null @@ -1,28 +0,0 @@ -import Foundation -import CoreLocation -import AstronomyKit - -let date = Date() - -extension CLLocationCoordinate2D { - static var SanFrancisco: CLLocationCoordinate2D { - return CLLocationCoordinate2D(latitude: 37.7833, longitude: -122.4167) - } -} - -AstronomicalCalculations.lunarRiseDate(with: date, location: .SanFrancisco) -AstronomicalCalculations.lunarTransitDate(with: date, location: .SanFrancisco) -AstronomicalCalculations.lunarSetDate(with: date, location: .SanFrancisco) - -AstronomicalCalculations.solarRiseDate(with: date, location: .SanFrancisco) -AstronomicalCalculations.solarTransitDate(with: date, location: .SanFrancisco) -AstronomicalCalculations.solarSetDate(with: date, location: .SanFrancisco) - -AstronomicalCalculations.date(forTrueLunarPhase: 0.0, with: date) // New -AstronomicalCalculations.date(forTrueLunarPhase: 0.25, with: date) // First quarter -AstronomicalCalculations.date(forTrueLunarPhase: 0.5, with: date) // Full -AstronomicalCalculations.date(forTrueLunarPhase: 0.75, with: date) // Last quarter - -AstronomicalCalculations.lunarPhaseAngle(with: date) -AstronomicalCalculations.lunarPositionAngle(with: date) -AstronomicalCalculations.lunarPhase(with: date) diff --git a/AstronomyKit/Configuration/iOS/Info.plist b/AstronomyKit/Configuration/iOS/Info.plist deleted file mode 100644 index ca23c84..0000000 --- a/AstronomyKit/Configuration/iOS/Info.plist +++ /dev/null @@ -1,26 +0,0 @@ - - - - - CFBundleDevelopmentRegion - en - CFBundleExecutable - $(EXECUTABLE_NAME) - CFBundleIdentifier - $(PRODUCT_BUNDLE_IDENTIFIER) - CFBundleInfoDictionaryVersion - 6.0 - CFBundleName - $(PRODUCT_NAME) - CFBundlePackageType - FMWK - CFBundleShortVersionString - $(MARKETING_VERSION) - CFBundleSignature - ???? - CFBundleVersion - $(CURRENT_PROJECT_VERSION) - NSPrincipalClass - - - diff --git a/AstronomyKit/Configuration/macOS/AstronomyKit.h b/AstronomyKit/Configuration/macOS/AstronomyKit.h deleted file mode 100644 index 6ab1496..0000000 --- a/AstronomyKit/Configuration/macOS/AstronomyKit.h +++ /dev/null @@ -1,14 +0,0 @@ -// -// AstronomyKit.h -// AstronomyKit -// -// Created by Caleb Davenport on 9/1/15. -// Copyright © 2015-2016 HODINKEE. All rights reserved. -// - -#import -#import -#import - -FOUNDATION_EXPORT double AstronomyKitVersionNumber; -FOUNDATION_EXPORT const unsigned char AstronomyKitVersionString[]; diff --git a/AstronomyKit/Configuration/macOS/Info.plist b/AstronomyKit/Configuration/macOS/Info.plist deleted file mode 100644 index 7ca595e..0000000 --- a/AstronomyKit/Configuration/macOS/Info.plist +++ /dev/null @@ -1,26 +0,0 @@ - - - - - CFBundleDevelopmentRegion - en - CFBundleExecutable - $(EXECUTABLE_NAME) - CFBundleIdentifier - $(PRODUCT_BUNDLE_IDENTIFIER) - CFBundleInfoDictionaryVersion - 6.0 - CFBundleName - $(PRODUCT_NAME) - CFBundlePackageType - FMWK - CFBundleShortVersionString - $(MARKETING_VERSION) - CFBundleVersion - $(CURRENT_PROJECT_VERSION) - NSHumanReadableCopyright - Copyright © 2016 HODINKEE. All rights reserved. - NSPrincipalClass - - - diff --git a/AstronomyKit/Configuration/tvOS/AstronomyKit.h b/AstronomyKit/Configuration/tvOS/AstronomyKit.h deleted file mode 100644 index 6ab1496..0000000 --- a/AstronomyKit/Configuration/tvOS/AstronomyKit.h +++ /dev/null @@ -1,14 +0,0 @@ -// -// AstronomyKit.h -// AstronomyKit -// -// Created by Caleb Davenport on 9/1/15. -// Copyright © 2015-2016 HODINKEE. All rights reserved. -// - -#import -#import -#import - -FOUNDATION_EXPORT double AstronomyKitVersionNumber; -FOUNDATION_EXPORT const unsigned char AstronomyKitVersionString[]; diff --git a/AstronomyKit/Configuration/tvOS/Info.plist b/AstronomyKit/Configuration/tvOS/Info.plist deleted file mode 100644 index ec0cc7b..0000000 --- a/AstronomyKit/Configuration/tvOS/Info.plist +++ /dev/null @@ -1,24 +0,0 @@ - - - - - CFBundleDevelopmentRegion - en - CFBundleExecutable - $(EXECUTABLE_NAME) - CFBundleIdentifier - $(PRODUCT_BUNDLE_IDENTIFIER) - CFBundleInfoDictionaryVersion - 6.0 - CFBundleName - $(PRODUCT_NAME) - CFBundlePackageType - FMWK - CFBundleShortVersionString - $(MARKETING_VERSION) - CFBundleVersion - $(CURRENT_PROJECT_VERSION) - NSPrincipalClass - - - diff --git a/Cartfile.private b/Cartfile.private deleted file mode 100644 index 86aad19..0000000 --- a/Cartfile.private +++ /dev/null @@ -1 +0,0 @@ -github "jspahrsummers/xcconfigs" diff --git a/Cartfile.resolved b/Cartfile.resolved deleted file mode 100644 index 3c8c09b..0000000 --- a/Cartfile.resolved +++ /dev/null @@ -1 +0,0 @@ -github "jspahrsummers/xcconfigs" "1.1" diff --git a/Carthage/Checkouts/xcconfigs b/Carthage/Checkouts/xcconfigs deleted file mode 160000 index 4ced0ad..0000000 --- a/Carthage/Checkouts/xcconfigs +++ /dev/null @@ -1 +0,0 @@ -Subproject commit 4ced0ad5a971220917994a4edfa6abf9702e3818 diff --git a/LICENSE b/LICENSE deleted file mode 100644 index ce3ef64..0000000 --- a/LICENSE +++ /dev/null @@ -1,21 +0,0 @@ -The MIT License (MIT) - -Copyright (c) 2016 HODINKEE. - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in -all copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN -THE SOFTWARE. diff --git a/Package.swift b/Package.swift new file mode 100644 index 0000000..af8effe --- /dev/null +++ b/Package.swift @@ -0,0 +1,25 @@ +// swift-tools-version: 5.6 + +import PackageDescription + +let package = Package(name: "AstronomyKit", platforms: [ + .macOS(.v11), + .iOS(.v14), + .watchOS(.v7), + .tvOS(.v14) + ], products: [ + .library(name: "AstronomyKit", targets: [ + "AstronomyKit" + ]), /* + .library(name: "AAPlus", targets: [ + "AAPlus" + ]) */ + ], targets: [ + .target(name: "AstronomyKit", dependencies: [ + "AAPlus" + ]), + .target(name: "AAPlus", exclude: [ + "CMakeLists.txt", + "index.html" + ]) + ], cxxLanguageStandard: .cxx20) diff --git a/README.md b/README.md index e46602e..8c8d908 100644 --- a/README.md +++ b/README.md @@ -1,17 +1,52 @@ -# AstronomyKit +# `AstronomyKit` -AstronomyKit works with [AA+](http://www.naughter.com/aa.html) to provide Objective-C and Swift API for performing complex calculations about the solar system. Functionality is limited to the few use it needed to solve initially. Pull requests are welcome for additional use cases. +`AstronomyKit` works with [AA+](http://www.naughter.com/aa.html) to provide an Objective-C API for performing complex calculations about the Solar System. -## Installation +## Usage -AstronomyKit works best with [Carthage](https://github.com/carthage/carthage). +Add `AstronomyKit` to any Xcode project via the [package dependencies tab.](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) Alternately, add `AstronomyKit` to the `dependencies` of another Swift package: ``` -github "hodinkee/AstronomyKit" +.package(url: "https://github.com/hodinkee/AstronomyKit", .branch("spm")) ``` -You may also integrate the framework into your project directly. +Functionality includes the following calculations: -## Usage +``` +import CoreLocation +import AstronomyKit + +let date: Date = Date() +let location: CLLocationCoordinate2D = CLLocationCoordinate2D(latitude: 0.0, longitude: 0.0) + +AstronomicalCalculations.lunarRiseDate(with: date, location: location) +AstronomicalCalculations.lunarTransitDate(with: date, location: location) +AstronomicalCalculations.lunarSetDate(with: date, location: location) + +AstronomicalCalculations.solarRiseDate(with: date, location: location) +AstronomicalCalculations.solarTransitDate(with: date, location: location) +AstronomicalCalculations.solarSetDate(with: date, location: location) + +AstronomicalCalculations.date(forTrueLunarPhase: 0.0, with: date) // New +AstronomicalCalculations.date(forTrueLunarPhase: 0.25, with: date) // First quarter +AstronomicalCalculations.date(forTrueLunarPhase: 0.5, with: date) // Full +AstronomicalCalculations.date(forTrueLunarPhase: 0.75, with: date) // Last quarter + +AstronomicalCalculations.lunarPhaseAngle(with: date) +AstronomicalCalculations.lunarPositionAngle(with: date) +AstronomicalCalculations.lunarPhase(with: date) +``` + +## Requirements + +Requires [Xcode](https://developer.apple.com/xcode) 13.3 or newer to build. + +### AA+ Included + +`AstronomyKit` bundles [Naughter Software AA+](http://naughter.com/aa.html) v2.42. + +### Platform Targets -Examples can be seen in `AstronomyKit.playground`. +* [macOS](https://developer.apple.com/macos) 11 Monterey +* [iOS](https://developer.apple.com/ios)/[iPadOS](https://developer.apple.com/ipados)/[tvOS](https://developer.apple.com/tvos) 14 +* [watchOS](https://developer.apple.com/watchos) 7 diff --git a/Vendor/AA+/1.6.3/AAAngularSeparation.cpp b/Sources/AAPlus/AAAngularSeparation.cpp old mode 100755 new mode 100644 similarity index 71% rename from Vendor/AA+/1.6.3/AAAngularSeparation.cpp rename to Sources/AAPlus/AAAngularSeparation.cpp index 38e1cb9..8536bb2 --- a/Vendor/AA+/1.6.3/AAAngularSeparation.cpp +++ b/Sources/AAPlus/AAAngularSeparation.cpp @@ -1,10 +1,10 @@ /* -Module : AAANGULARSEPARATION.CPP +Module : AAAngularSeparation.cpp Purpose: Implementation for the algorithms which obtain various separation distances between celestial objects Created: PJN / 29-12-2003 History: None -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,7 +30,7 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -double CAAAngularSeparation::Separation(double Alpha1, double Delta1, double Alpha2, double Delta2) +double CAAAngularSeparation::Separation(double Alpha1, double Delta1, double Alpha2, double Delta2) noexcept { Delta1 = CAACoordinateTransformation::DegreesToRadians(Delta1); Delta2 = CAACoordinateTransformation::DegreesToRadians(Delta2); @@ -38,9 +38,9 @@ double CAAAngularSeparation::Separation(double Alpha1, double Delta1, double Alp Alpha1 = CAACoordinateTransformation::HoursToRadians(Alpha1); Alpha2 = CAACoordinateTransformation::HoursToRadians(Alpha2); - double x = cos(Delta1)*sin(Delta2) - sin(Delta1)*cos(Delta2)*cos(Alpha2 - Alpha1); - double y = cos(Delta2)*sin(Alpha2 - Alpha1); - double z = sin(Delta1)*sin(Delta2) + cos(Delta1)*cos(Delta2)*cos(Alpha2 - Alpha1); + const double x = cos(Delta1)*sin(Delta2) - sin(Delta1)*cos(Delta2)*cos(Alpha2 - Alpha1); + const double y = cos(Delta2)*sin(Alpha2 - Alpha1); + const double z = sin(Delta1)*sin(Delta2) + cos(Delta1)*cos(Delta2)*cos(Alpha2 - Alpha1); double value = atan2(sqrt(x*x + y*y), z); value = CAACoordinateTransformation::RadiansToDegrees(value); @@ -50,7 +50,7 @@ double CAAAngularSeparation::Separation(double Alpha1, double Delta1, double Alp return value; } -double CAAAngularSeparation::PositionAngle(double Alpha1, double Delta1, double Alpha2, double Delta2) +double CAAAngularSeparation::PositionAngle(double Alpha1, double Delta1, double Alpha2, double Delta2) noexcept { Delta1 = CAACoordinateTransformation::DegreesToRadians(Delta1); Delta2 = CAACoordinateTransformation::DegreesToRadians(Delta2); @@ -58,7 +58,7 @@ double CAAAngularSeparation::PositionAngle(double Alpha1, double Delta1, double Alpha1 = CAACoordinateTransformation::HoursToRadians(Alpha1); Alpha2 = CAACoordinateTransformation::HoursToRadians(Alpha2); - double DeltaAlpha = Alpha1 - Alpha2; + const double DeltaAlpha = Alpha1 - Alpha2; double value = atan2(sin(DeltaAlpha), cos(Delta2)*tan(Delta1) - sin(Delta2)*cos(DeltaAlpha)); value = CAACoordinateTransformation::RadiansToDegrees(value); if (value < 0) @@ -67,7 +67,7 @@ double CAAAngularSeparation::PositionAngle(double Alpha1, double Delta1, double return value; } -double CAAAngularSeparation::DistanceFromGreatArc(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3) +double CAAAngularSeparation::DistanceFromGreatArc(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3) noexcept { Delta1 = CAACoordinateTransformation::DegreesToRadians(Delta1); Delta2 = CAACoordinateTransformation::DegreesToRadians(Delta2); @@ -77,21 +77,21 @@ double CAAAngularSeparation::DistanceFromGreatArc(double Alpha1, double Delta1, Alpha2 = CAACoordinateTransformation::HoursToRadians(Alpha2); Alpha3 = CAACoordinateTransformation::HoursToRadians(Alpha3); - double X1 = cos(Delta1)*cos(Alpha1); - double X2 = cos(Delta2)*cos(Alpha2); - - double Y1 = cos(Delta1)*sin(Alpha1); - double Y2 = cos(Delta2)*sin(Alpha2); + const double X1 = cos(Delta1)*cos(Alpha1); + const double X2 = cos(Delta2)*cos(Alpha2); - double Z1 = sin(Delta1); - double Z2 = sin(Delta2); + const double Y1 = cos(Delta1)*sin(Alpha1); + const double Y2 = cos(Delta2)*sin(Alpha2); - double A = Y1*Z2 - Z1*Y2; - double B = Z1*X2 - X1*Z2; - double C = X1*Y2 - Y1*X2; + const double Z1 = sin(Delta1); + const double Z2 = sin(Delta2); - double m = tan(Alpha3); - double n = tan(Delta3)/cos(Alpha3); + const double A = Y1*Z2 - Z1*Y2; + const double B = Z1*X2 - X1*Z2; + const double C = X1*Y2 - Y1*X2; + + const double m = tan(Alpha3); + const double n = tan(Delta3)/cos(Alpha3); double value = asin((A + B*m + C*n)/(sqrt(A*A + B*B + C*C)*sqrt(1 + m*m + n*n))); value = CAACoordinateTransformation::RadiansToDegrees(value); @@ -101,11 +101,11 @@ double CAAAngularSeparation::DistanceFromGreatArc(double Alpha1, double Delta1, return value; } -double CAAAngularSeparation::SmallestCircle(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, bool& bType1) +double CAAAngularSeparation::SmallestCircle(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, bool& bType1) noexcept { - double d1 = Separation(Alpha1, Delta1, Alpha2, Delta2); - double d2 = Separation(Alpha1, Delta1, Alpha3, Delta3); - double d3 = Separation(Alpha2, Delta2, Alpha3, Delta3); + const double d1 = Separation(Alpha1, Delta1, Alpha2, Delta2); + const double d2 = Separation(Alpha1, Delta1, Alpha3, Delta3); + const double d3 = Separation(Alpha2, Delta2, Alpha3, Delta3); double a = d1; double b = d2; @@ -123,7 +123,7 @@ double CAAAngularSeparation::SmallestCircle(double Alpha1, double Delta1, double c = d2; } - double value; + double value = 0; if (a > sqrt(b*b + c*c)) { bType1 = true; diff --git a/Sources/AAPlus/AABinaryStar.cpp b/Sources/AAPlus/AABinaryStar.cpp new file mode 100644 index 0000000..ea5106a --- /dev/null +++ b/Sources/AAPlus/AABinaryStar.cpp @@ -0,0 +1,89 @@ +/* +Module : AABinaryStar.cpp +Purpose: Implementation for the algorithms for a binary star system +Created: PJN / 29-12-2003 +History: PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 22-11-2021 1. Reworked the CAABinaryStar::Calculate method to use the method as detailed in + chapter 7 in the book "Observing and Measuring Visual Double Stars". This helps fix + issues detected with the algorithms as presented in Chapter 57 of Meeus's book. These + issues were detected when developing a program to provide a simple animation of a + sample binary star system. The observed bug was causing the orbits to not be calculated + as projected ellipses when the inclination value (i) approached 90 degrees. + 2. Updated CAABinaryStarDetails class to include rectangular coordinates as well as + the existing polar coordinates. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////////// Includes ////////////////////////////////// + +#include "stdafx.h" +#include "AABinaryStar.h" +#include "AAKepler.h" +#include "AACoordinateTransformation.h" +#include +using namespace std; + + +////////////////////////////////// Implementation ///////////////////////////// + +CAABinaryStarDetails CAABinaryStar::Calculate(double t, double P, double T, double e, double a, double i, double omega, double w) noexcept +{ + const double n = 360 / P; + const double M = CAACoordinateTransformation::MapTo0To360Range(n*(t - T)); + const double E = CAACoordinateTransformation::DegreesToRadians(CAAKepler::Calculate(M, e)); + i = CAACoordinateTransformation::DegreesToRadians(i); + w = CAACoordinateTransformation::DegreesToRadians(w); + omega = CAACoordinateTransformation::DegreesToRadians(omega); + const double cosi = cos(i); + const double cosomega = cos(omega); + const double sinomega = sin(omega); + const double cosw = cos(w); + const double sinw = sin(w); + //Use the Thiele-Innes elements for calculating the rectangular as well as polar coordinates + //as taken from Chapter 7 of the book "Observing and Measuring Visual Double Stars" + const double A = a*((cosw*cosomega) - (sinw*sinomega*cosi)); + const double B = a*((cosw*sinomega) + (sinw*cosomega*cosi)); + const double F = a*((-sinw*cosomega) - (cosw*sinomega*cosi)); + const double G = a*((-sinw*sinomega) + (cosw*cosomega*cosi)); + const double cosE = cos(E); + const double X = cosE - e; + const double Y = sqrt(1 - (e*e))*sin(E); + CAABinaryStarDetails details; + details.x = A*X + F*Y; + details.y = B*X + G*Y; + details.r = a*(1 - e* cosE); + details.Theta = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(atan2(details.y, details.x))); + details.Rho = sqrt((details.x*details.x) + (details.y*details.y)); + return details; +} + +double CAABinaryStar::ApparentEccentricity(double e, double i, double w) noexcept +{ + i = CAACoordinateTransformation::DegreesToRadians(i); + w = CAACoordinateTransformation::DegreesToRadians(w); + + const double cosi = cos(i); + const double cosw = cos(w); + const double sinw = sin(w); + const double esquared = e*e; + const double A = (1 - esquared*cosw*cosw)*cosi*cosi; + const double B = esquared*sinw*cosw*cosi; + const double C = 1 - esquared*sinw*sinw; + const double D = (A - C)*(A - C) + 4*B*B; + + const double sqrtD = sqrt(D); + return sqrt(2*sqrtD / (A + C + sqrtD)); +} diff --git a/Vendor/AA+/1.6.3/AACoordinateTransformation.cpp b/Sources/AAPlus/AACoordinateTransformation.cpp old mode 100755 new mode 100644 similarity index 88% rename from Vendor/AA+/1.6.3/AACoordinateTransformation.cpp rename to Sources/AAPlus/AACoordinateTransformation.cpp index 7041a48..c1f97db --- a/Vendor/AA+/1.6.3/AACoordinateTransformation.cpp +++ b/Sources/AAPlus/AACoordinateTransformation.cpp @@ -1,5 +1,5 @@ /* -Module : AACOORDINATETRANSFORMATION.CPP +Module : AACoordinateTransformation.cpp Purpose: Implementation for the algorithms which convert between the various celestial coordinate systems Created: PJN / 29-12-2003 History: PJN / 14-02-2004 1. Fixed a "minus zero" bug in the function CAACoordinateTransformation::DMSToDegrees. @@ -13,8 +13,9 @@ History: PJN / 14-02-2004 1. Fixed a "minus zero" bug in the function CAACoordin PJN / 30-08-2015 1. Updated the MapTo0To360Range to use the fmod C runtime function. 2. Updated the MapTo0To24Range to use the fmod C runtime function. 3. Added new MapTo0To2PIRange & MapToMinus180To180Range methods. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -40,7 +41,7 @@ using namespace std; /////////////////////// Implementation //////////////////////////////////////// -CAA2DCoordinate CAACoordinateTransformation::Equatorial2Ecliptic(double Alpha, double Delta, double Epsilon) +CAA2DCoordinate CAACoordinateTransformation::Equatorial2Ecliptic(double Alpha, double Delta, double Epsilon) noexcept { Alpha = HoursToRadians(Alpha); Delta = DegreesToRadians(Delta); @@ -55,7 +56,7 @@ CAA2DCoordinate CAACoordinateTransformation::Equatorial2Ecliptic(double Alpha, d return Ecliptic; } -CAA2DCoordinate CAACoordinateTransformation::Ecliptic2Equatorial(double Lambda, double Beta, double Epsilon) +CAA2DCoordinate CAACoordinateTransformation::Ecliptic2Equatorial(double Lambda, double Beta, double Epsilon) noexcept { Lambda = DegreesToRadians(Lambda); Beta = DegreesToRadians(Beta); @@ -66,11 +67,11 @@ CAA2DCoordinate CAACoordinateTransformation::Ecliptic2Equatorial(double Lambda, if (Equatorial.X < 0) Equatorial.X += 24; Equatorial.Y = RadiansToDegrees(asin(sin(Beta)*cos(Epsilon) + cos(Beta)*sin(Epsilon)*sin(Lambda))); - + return Equatorial; } -CAA2DCoordinate CAACoordinateTransformation::Equatorial2Horizontal(double LocalHourAngle, double Delta, double Latitude) +CAA2DCoordinate CAACoordinateTransformation::Equatorial2Horizontal(double LocalHourAngle, double Delta, double Latitude) noexcept { LocalHourAngle = HoursToRadians(LocalHourAngle); Delta = DegreesToRadians(Delta); @@ -81,11 +82,11 @@ CAA2DCoordinate CAACoordinateTransformation::Equatorial2Horizontal(double LocalH if (Horizontal.X < 0) Horizontal.X += 360; Horizontal.Y = RadiansToDegrees(asin(sin(Latitude)*sin(Delta) + cos(Latitude)*cos(Delta)*cos(LocalHourAngle))); - + return Horizontal; } -CAA2DCoordinate CAACoordinateTransformation::Horizontal2Equatorial(double Azimuth, double Altitude, double Latitude) +CAA2DCoordinate CAACoordinateTransformation::Horizontal2Equatorial(double Azimuth, double Altitude, double Latitude) noexcept { //Convert from degress to radians Azimuth = DegreesToRadians(Azimuth); @@ -97,11 +98,11 @@ CAA2DCoordinate CAACoordinateTransformation::Horizontal2Equatorial(double Azimut if (Equatorial.X < 0) Equatorial.X += 24; Equatorial.Y = RadiansToDegrees(asin(sin(Latitude)*sin(Altitude) - cos(Latitude)*cos(Altitude)*cos(Azimuth))); - + return Equatorial; } -CAA2DCoordinate CAACoordinateTransformation::Equatorial2Galactic(double Alpha, double Delta) +CAA2DCoordinate CAACoordinateTransformation::Equatorial2Galactic(double Alpha, double Delta) noexcept { Alpha = 192.25 - HoursToDegrees(Alpha); Alpha = DegreesToRadians(Alpha); @@ -117,7 +118,7 @@ CAA2DCoordinate CAACoordinateTransformation::Equatorial2Galactic(double Alpha, d return Galactic; } -CAA2DCoordinate CAACoordinateTransformation::Galactic2Equatorial(double l, double b) +CAA2DCoordinate CAACoordinateTransformation::Galactic2Equatorial(double l, double b) noexcept { l -= 123; l = DegreesToRadians(l); @@ -130,11 +131,11 @@ CAA2DCoordinate CAACoordinateTransformation::Galactic2Equatorial(double l, doubl Equatorial.X += 360; Equatorial.X = DegreesToHours(Equatorial.X); Equatorial.Y = RadiansToDegrees(asin(sin(b)*sin(DegreesToRadians(27.4)) + cos(b)*cos(DegreesToRadians(27.4))*cos(l))); - + return Equatorial; } -double CAACoordinateTransformation::DMSToDegrees(double Degrees, double Minutes, double Seconds, bool bPositive) +double CAACoordinateTransformation::DMSToDegrees(double Degrees, double Minutes, double Seconds, bool bPositive) noexcept { //validate our parameters if (!bPositive) diff --git a/Sources/AAPlus/AADiameters.cpp b/Sources/AAPlus/AADiameters.cpp new file mode 100644 index 0000000..111ef49 --- /dev/null +++ b/Sources/AAPlus/AADiameters.cpp @@ -0,0 +1,65 @@ +/* +Module : AADiameters.cpp +Purpose: Implementation for the algorithms for the semi diameters of the Sun, Moon, Planets and Asteroids +Created: PJN / 15-01-2004 +History: None + +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////// Includes ///////////////////////////////////////////////// + +#include "stdafx.h" +#include "AADiameters.h" +#include "AAGlobe.h" +#include +using namespace std; + + +//////////////////// Implementation /////////////////////////////////////////// + +double CAADiameters::ApparentSaturnPolarSemidiameterA(double Delta, double B) noexcept +{ + const double cosB = cos(CAACoordinateTransformation::DegreesToRadians(B)); + return SaturnPolarSemidiameterA(Delta)*sqrt(1 - 0.199197*cosB*cosB); +} + +double CAADiameters::ApparentSaturnPolarSemidiameterB(double Delta, double B) noexcept +{ + const double cosB = cos(CAACoordinateTransformation::DegreesToRadians(B)); + return SaturnPolarSemidiameterB(Delta)*sqrt(1 - 0.203800*cosB*cosB); +} + +double CAADiameters::TopocentricMoonSemidiameter(double DistanceDelta, double Delta, double H, double Latitude, double Height) noexcept +{ + //Convert to radians + H = CAACoordinateTransformation::HoursToRadians(H); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + + const double pi = asin(6378.14/DistanceDelta); + const double A = cos(Delta)*sin(H); + const double B = cos(Delta)*cos(H) - CAAGlobe::RhoCosThetaPrime(Latitude, Height)*sin(pi); + const double C = sin(Delta) - CAAGlobe::RhoSinThetaPrime(Latitude, Height)*sin(pi); + const double q = sqrt(A*A + B*B + C*C); + + const double s = CAACoordinateTransformation::DegreesToRadians(GeocentricMoonSemidiameter(DistanceDelta)/3600); + return CAACoordinateTransformation::RadiansToDegrees(asin(sin(s)/q))*3600; +} + +double CAADiameters::AsteroidDiameter(double H, double A) noexcept +{ + const double x = 3.12 - H/5 - 0.217147*log(A); + return pow(10.0, x); +} diff --git a/Sources/AAPlus/AAEarth.cpp b/Sources/AAPlus/AAEarth.cpp new file mode 100644 index 0000000..ae968d5 --- /dev/null +++ b/Sources/AAPlus/AAEarth.cpp @@ -0,0 +1,654 @@ +/* +Module : AAEarth.cpp +Purpose: Implementation for the algorithms which calculate the position of Earth +Created: PJN / 29-12-2003 +History: PJN / 03-10-2009 1. Fixed a copy and paste gremlin in the CAAEarth::EclipticLatitude method where it incorrectly + used B2, B3 & B4 coefficient terms for Venus. Due to how this bug occurred, the magnitude of the + error from it would increase as the date deviated from the year 2000. Thanks to Isaac Salzman + for reporting this bug. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the twenty first coefficient used to calculate + the L0 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for + reporting this issue. + 2. Fixed a transcription error in the sixteenth coefficient used to calculate the L1 term for + the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting this issue. + 3. Spot tests indicate that these two changes only affected the the ecliptic longitude in the + eight decimal place. + 4. Updated copyright details + PJN / 16-09-2015 1. CAAEarth::EclipticLongitude, EclipticLatitude, RadiusVector, EclipticLongitudeJ2000 & + EclipticLatitudeJ2000 now include a "bool bHighPrecision" parameter which if set to true means + the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's + book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAEarth.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AAEarth.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_EAR.h" +#include "AAVSOP87B_EAR.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +//////////////////////////// Macros / Defines ///////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0EarthCoefficients +{ { + { 175347046, 0, 0 }, + { 3341656, 4.6692568, 6283.0758500 }, + { 34894, 4.62610, 12566.15170 }, + { 3497, 2.7441, 5753.3849 }, + { 3418, 2.8289, 3.5231 }, + { 3136, 3.6277, 77713.7715 }, + { 2676, 4.4181, 7860.4194 }, + { 2343, 6.1352, 3930.2097 }, + { 1324, 0.7425, 11506.7698 }, + { 1273, 2.0371, 529.6910 }, + { 1199, 1.1096, 1577.3435 }, + { 990, 5.233, 5884.927 }, + { 902, 2.045, 26.298 }, + { 857, 3.508, 398.149 }, + { 780, 1.179, 5223.694 }, + { 753, 2.533, 5507.553 }, + { 505, 4.583, 18849.228 }, + { 492, 4.205, 775.523 }, + { 357, 2.920, 0.067 }, + { 317, 5.849, 11790.629 }, + { 284, 1.899, 796.298 }, + { 271, 0.315, 10977.079 }, + { 243, 0.345, 5486.778 }, + { 206, 4.806, 2544.314 }, + { 205, 1.869, 5573.143 }, + { 202, 2.458, 6069.777 }, + { 156, 0.833, 213.299 }, + { 132, 3.411, 2942.463 }, + { 126, 1.083, 20.775 }, + { 115, 0.645, 0.980 }, + { 103, 0.636, 4694.003 }, + { 102, 0.976, 15720.839 }, + { 102, 4.267, 7.114 }, + { 99, 6.21, 2146.17 }, + { 98, 0.68, 155.42 }, + { 86, 5.98, 161000.69 }, + { 85, 1.30, 6275.96 }, + { 85, 3.67, 71430.70 }, + { 80, 1.81, 17260.15 }, + { 79, 3.04, 12036.46 }, + { 75, 1.76, 5088.63 }, + { 74, 3.50, 3154.69 }, + { 74, 4.68, 801.82 }, + { 70, 0.83, 9437.76 }, + { 62, 3.98, 8827.39 }, + { 61, 1.82, 7084.90 }, + { 57, 2.78, 6286.60 }, + { 56, 4.39, 14143.50 }, + { 56, 3.47, 6279.55 }, + { 52, 0.19, 12139.55 }, + { 52, 1.33, 1748.02 }, + { 51, 0.28, 5856.48 }, + { 49, 0.49, 1194.45 }, + { 41, 5.37, 8429.24 }, + { 41, 2.40, 19651.05 }, + { 39, 6.17, 10447.39 }, + { 37, 6.04, 10213.29 }, + { 37, 2.57, 1059.38 }, + { 36, 1.71, 2352.87 }, + { 36, 1.78, 6812.77 }, + { 33, 0.59, 17789.85 }, + { 30, 0.44, 83996.85 }, + { 30, 2.74, 1349.87 }, + { 25, 3.16, 4690.48 } +} }; + +constexpr array g_L1EarthCoefficients +{ { + { 628331966747.0, 0, 0 }, + { 206059, 2.678235, 6283.075850 }, + { 4303, 2.6351, 12566.1517 }, + { 425, 1.590, 3.523 }, + { 119, 5.796, 26.298 }, + { 109, 2.966, 1577.344 }, + { 93, 2.59, 18849.23 }, + { 72, 1.14, 529.69 }, + { 68, 1.87, 398.15 }, + { 67, 4.41, 5507.55 }, + { 59, 2.89, 5223.69 }, + { 56, 2.17, 155.42 }, + { 45, 0.40, 796.30 }, + { 36, 0.47, 775.52 }, + { 29, 2.65, 7.11 }, + { 21, 5.34, 0.98 }, + { 19, 1.85, 5486.78 }, + { 19, 4.97, 213.30 }, + { 17, 2.99, 6275.96 }, + { 16, 0.03, 2544.31 }, + { 16, 1.43, 2146.17 }, + { 15, 1.21, 10977.08 }, + { 12, 2.83, 1748.02 }, + { 12, 3.26, 5088.63 }, + { 12, 5.27, 1194.45 }, + { 12, 2.08, 4694.00 }, + { 11, 0.77, 553.57 }, + { 10, 1.30, 6286.60 }, + { 10, 4.24, 1349.87 }, + { 9, 2.70, 242.73 }, + { 9, 5.64, 951.72 }, + { 8, 5.30, 2352.87 }, + { 6, 2.65, 9437.76 }, + { 6, 4.67, 4690.48 } +} }; + +constexpr array g_L2EarthCoefficients +{ { + { 52919, 0, 0 }, + { 8720, 1.0721, 6283.0758 }, + { 309, 0.867, 12566.152 }, + { 27, 0.05, 3.52 }, + { 16, 5.19, 26.30 }, + { 16, 3.68, 155.42 }, + { 10, 0.76, 18849.23 }, + { 9, 2.06, 77713.77 }, + { 7, 0.83, 775.52 }, + { 5, 4.66, 1577.34 }, + { 4, 1.03, 7.11 }, + { 4, 3.44, 5573.14 }, + { 3, 5.14, 796.30 }, + { 3, 6.05, 5507.55 }, + { 3, 1.19, 242.73 }, + { 3, 6.12, 529.69 }, + { 3, 0.31, 398.15 }, + { 3, 2.28, 553.57 }, + { 2, 4.38, 5223.69 }, + { 2, 3.75, 0.98 } +} }; + +constexpr array g_L3EarthCoefficients +{ { + { 289, 5.844, 6283.076 }, + { 35, 0, 0 }, + { 17, 5.49, 12566.15 }, + { 3, 5.20, 155.42 }, + { 1, 4.72, 3.52 }, + { 1, 5.30, 18849.23 }, + { 1, 5.97, 242.73 } +} }; + +constexpr array g_L4EarthCoefficients +{ { + { 114, 3.142, 0 }, + { 8, 4.13, 6283.08 }, + { 1, 3.84, 12566.15 } +} }; + +constexpr array g_L5EarthCoefficients +{ { + { 1, 3.14, 0 } +} }; + +constexpr array g_B0EarthCoefficients +{ { + { 280, 3.199, 84334.662 }, + { 102, 5.422, 5507.553 }, + { 80, 3.88, 5223.69 }, + { 44, 3.70, 2352.87 }, + { 32, 4.00, 1577.34 } +} }; + +constexpr array g_B1EarthCoefficients +{ { + { 9, 3.90, 5507.55 }, + { 6, 1.73, 5223.69 } +} }; + +constexpr array g_R0EarthCoefficients +{ { + { 100013989, 0, 0 }, + { 1670700, 3.0984635, 6283.0758500 }, + { 13956, 3.05525, 12566.15170 }, + { 3084, 5.1985, 77713.7715 }, + { 1628, 1.1739, 5753.3849 }, + { 1576, 2.8469, 7860.4194 }, + { 925, 5.453, 11506.770 }, + { 542, 4.564, 3930.210 }, + { 472, 3.661, 5884.927 }, + { 346, 0.964, 5507.553 }, + { 329, 5.900, 5223.694 }, + { 307, 0.299, 5573.143 }, + { 243, 4.273, 11790.629 }, + { 212, 5.847, 1577.344 }, + { 186, 5.022, 10977.079 }, + { 175, 3.012, 18849.228 }, + { 110, 5.055, 5486.778 }, + { 98, 0.89, 6069.78 }, + { 86, 5.69, 15720.84 }, + { 86, 1.27, 161000.69 }, + { 65, 0.27, 17260.15 }, + { 63, 0.92, 529.69 }, + { 57, 2.01, 83996.85 }, + { 56, 5.24, 71430.70 }, + { 49, 3.25, 2544.31 }, + { 47, 2.58, 775.52 }, + { 45, 5.54, 9437.76 }, + { 43, 6.01, 6275.96 }, + { 39, 5.36, 4694.00 }, + { 38, 2.39, 8827.39 }, + { 37, 0.83, 19651.05 }, + { 37, 4.90, 12139.55 }, + { 36, 1.67, 12036.46 }, + { 35, 1.84, 2942.46 }, + { 33, 0.24, 7084.90 }, + { 32, 0.18, 5088.63 }, + { 32, 1.78, 398.15 }, + { 28, 1.21, 6286.60 }, + { 28, 1.90, 6279.55 }, + { 26, 4.59, 10447.39 } +} }; + +constexpr array g_R1EarthCoefficients +{ { + { 103019, 1.107490, 6283.075850 }, + { 1721, 1.0644, 12566.1517 }, + { 702, 3.142, 0 }, + { 32, 1.02, 18849.23 }, + { 31, 2.84, 5507.55 }, + { 25, 1.32, 5223.69 }, + { 18, 1.42, 1577.34 }, + { 10, 5.91, 10977.08 }, + { 9, 1.42, 6275.96 }, + { 9, 0.27, 5486.78 } +} }; + +constexpr array g_R2EarthCoefficients +{ { + { 4359, 5.7846, 6283.0758 }, + { 124, 5.579, 12566.152 }, + { 12, 3.14, 0 }, + { 9, 3.63, 77713.77 }, + { 6, 1.87, 5573.14 }, + { 3, 5.47, 18849.23 } +} }; + +constexpr array g_R3EarthCoefficients +{ { + { 145, 4.273, 6283.076 }, + { 7, 3.92, 12566.15 } +} }; + +constexpr array g_R4EarthCoefficients +{ { + { 4, 2.56, 6283.08 } +} }; + +constexpr array g_L1EarthCoefficientsJ2000 +{ { + { 628307584999.0, 0, 0 }, + { 206059, 2.678235, 6283.075850 }, + { 4303, 2.6351, 12566.1517 }, + { 425, 1.590, 3.523 }, + { 119, 5.796, 26.298 }, + { 109, 2.966, 1577.344 }, + { 93, 2.59, 18849.23 }, + { 72, 1.14, 529.69 }, + { 68, 1.87, 398.15 }, + { 67, 4.41, 5507.55 }, + { 59, 2.89, 5223.69 }, + { 56, 2.17, 155.42 }, + { 45, 0.40, 796.30 }, + { 36, 0.47, 775.52 }, + { 29, 2.65, 7.11 }, + { 21, 5.43, 0.98 }, + { 19, 1.85, 5486.78 }, + { 19, 4.97, 213.30 }, + { 17, 2.99, 6275.96 }, + { 16, 0.03, 2544.31 }, + { 16, 1.43, 2146.17 }, + { 15, 1.21, 10977.08 }, + { 12, 2.83, 1748.02 }, + { 12, 3.26, 5088.63 }, + { 12, 5.27, 1194.45 }, + { 12, 2.08, 4694.00 }, + { 11, 0.77, 553.57 }, + { 10, 1.30, 6286.60 }, + { 10, 4.24, 1349.87 }, + { 9, 2.70, 242.73 }, + { 9, 5.64, 951.72 }, + { 8, 5.30, 2352.87 }, + { 6, 2.65, 9437.76 }, + { 6, 4.67, 4690.48 } +} }; + +constexpr array g_L2EarthCoefficientsJ2000 +{ { + { 8722, 1.0725, 6283.0758 }, + { 991, 3.1416, 0 }, + { 295, 0.437, 12566.152 }, + { 27, 0.05, 3.52 }, + { 16, 5.19, 26.30 }, + { 16, 3.69, 155.42 }, + { 9, 0.30, 18849.23 }, + { 9, 2.06, 77713.77 }, + { 7, 0.83, 775.52 }, + { 5, 4.66, 1577.34 }, + { 4, 1.03, 7.11 }, + { 4, 3.44, 5573.14 }, + { 3, 5.14, 796.30 }, + { 3, 6.05, 5507.55 }, + { 3, 1.19, 242.73 }, + { 3, 6.12, 529.69 }, + { 3, 0.30, 398.15 }, + { 3, 2.28, 553.57 }, + { 2, 4.38, 5223.69 }, + { 2, 3.75, 0.98 } +} }; + +constexpr array g_L3EarthCoefficientsJ2000 +{ { + { 289, 5.842, 6283.076 }, + { 21, 6.05, 12566.15 }, + { 3, 5.20, 155.42 }, + { 3, 3.14, 0 }, + { 1, 4.72, 3.52 }, + { 1, 5.97, 242.73 }, + { 1, 5.54, 18849.23 } +} }; + +constexpr array g_L4EarthCoefficientsJ2000 +{ { + { 8, 4.14, 6283.08 }, + { 1, 3.28, 12566.15 } +} }; + +constexpr array g_B1EarthCoefficientsJ2000 +{ { + { 227778, 3.413766, 6283.075850 }, + { 3806, 3.3706, 12566.1517 }, + { 3620, 0, 0 }, + { 72, 3.33, 18849.23 }, + { 8, 3.89, 5507.55 }, + { 8, 1.79, 5223.69 }, + { 6, 5.20, 2352.87 } +} }; + +constexpr array g_B2EarthCoefficientsJ2000 +{ { + { 9721, 5.1519, 6283.07585 }, + { 233, 3.1416, 0 }, + { 134, 0.644, 12566.152 }, + { 7, 1.07, 18849.23 } +} }; + +constexpr array g_B3EarthCoefficientsJ2000 +{ { + { 276, 0.595, 6283.076 }, + { 17, 3.14, 0 }, + { 4, 0.12, 12566.15 } +} }; + +constexpr array g_B4EarthCoefficientsJ2000 +{ { + { 6, 2.27, 6283.08 }, + { 1, 0, 0 } +} }; + + +//////////////////////////////// Implementation /////////////////////////////// + +double CAAEarth::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Earth::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0EarthCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1EarthCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2EarthCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3EarthCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4EarthCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5EarthCoefficients) + L5 += (L5Coefficient.A * cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAEarth::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Earth::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0EarthCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1EarthCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Note for Earth there are no B2, B3 or B4 coefficients to calculate + + double value = (B0 + B1*rho) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAEarth::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Earth::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0EarthCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1EarthCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2EarthCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3EarthCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4EarthCoefficients) + R4 += (R4Coefficient.A * cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + return (R0 + (R1*rho) + (R2*rhosquared) + (R3*rhocubed) + (R4*rho4)) / 100000000; +} + + +double CAAEarth::EclipticLongitudeJ2000(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87B_Earth::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0EarthCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1EarthCoefficientsJ2000) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2EarthCoefficientsJ2000) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3EarthCoefficientsJ2000) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4EarthCoefficientsJ2000) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAEarth::EclipticLatitudeJ2000(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87B_Earth::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0EarthCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1EarthCoefficientsJ2000) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2EarthCoefficientsJ2000) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3EarthCoefficientsJ2000) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4EarthCoefficientsJ2000) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAEarth::SunMeanAnomaly(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + return CAACoordinateTransformation::MapTo0To360Range(357.5291092 + 35999.0502909*T - 0.0001536*Tsquared + Tcubed/24490000); +} diff --git a/Vendor/AA+/1.6.3/AAEclipses.cpp b/Sources/AAPlus/AAEclipses.cpp old mode 100755 new mode 100644 similarity index 50% rename from Vendor/AA+/1.6.3/AAEclipses.cpp rename to Sources/AAPlus/AAEclipses.cpp index 17d7142..0efecb6 --- a/Vendor/AA+/1.6.3/AAEclipses.cpp +++ b/Sources/AAPlus/AAEclipses.cpp @@ -1,12 +1,16 @@ /* -Module : AAECLIPSES.CPP +Module : AAEclipses.cpp Purpose: Implementation for the algorithms which obtain the principal characteristics of an eclipse of the Sun or the Moon Created: PJN / 21-01-2004 History: PJN / 25-02-2004 1. Calculation of semi durations is now calculated only when required PJN / 31-01-2005 1. Fixed a GCC compiler error related to missing include for memset. Thanks to Mika Heiskanen for reporting this problem. + PJN / 27-03-2016 1. Updated CAAEclipses::Calculate to return a bitmask of attributes about the calculated solar + eclipse in CAASolarEclipseDetails::Details. These attributes correspond to the values as discussed + in Meeus's book on Pages 381 & 382. Thanks to "Pavel" for providing this nice addition. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -34,22 +38,22 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -CAASolarEclipseDetails CAAEclipses::Calculate(double k, double& Mdash) +CAASolarEclipseDetails CAAEclipses::Calculate(double k, double& Mdash) noexcept { //Are we looking for a solar or lunar eclipse double intp = 0; - bool bSolarEclipse = (modf(k, &intp) == 0); + const bool bSolarEclipse = (modf(k, &intp) == 0); //What will be the return value CAASolarEclipseDetails details; //convert from K to T - double T = k/1236.85; - double T2 = T*T; - double T3 = T2*T; - double T4 = T3*T; + const double T = k/1236.85; + const double T2 = T*T; + const double T3 = T2*T; + const double T4 = T3*T; - double E = 1 - 0.002516*T - 0.0000074*T2; + const double E = 1 - 0.002516*T - 0.0000074*T2; double M = CAACoordinateTransformation::MapTo0To360Range(2.5534 + 29.10535670*k - 0.0000014*T2 - 0.00000011*T3); M = CAACoordinateTransformation::DegreesToRadians(M); @@ -79,72 +83,109 @@ CAASolarEclipseDetails CAAEclipses::Calculate(double k, double& Mdash) double DeltaJD = 0; if (bSolarEclipse) DeltaJD += -0.4075*sin(Mdash) + - 0.1721*E*sin(M); + 0.1721*E*sin(M); else DeltaJD += -0.4065*sin(Mdash) + - 0.1727*E*sin(M); + 0.1727*E*sin(M); DeltaJD += 0.0161*sin(2*Mdash) + - -0.0097*sin(2*Fdash) + + -0.0097*sin(2*Fdash) + 0.0073*E*sin(Mdash - M) + - -0.0050*E*sin(Mdash + M) + - -0.0023*sin(Mdash - 2*Fdash) + + -0.0050*E*sin(Mdash + M) + + -0.0023*sin(Mdash - 2*Fdash) + 0.0021*E*sin(2*M) + 0.0012*sin(Mdash + 2*Fdash) + 0.0006*E*sin(2*Mdash + M) + - -0.0004*sin(3*Mdash) + - -0.0003*E*sin(M + 2*Fdash) + + -0.0004*sin(3*Mdash) + + -0.0003*E*sin(M + 2*Fdash) + 0.0003*sin(A1) + - -0.0002*E*sin(M - 2*Fdash) + - -0.0002*E*sin(2*Mdash - M) + - -0.0002*sin(omega); + -0.0002*E*sin(M - 2*Fdash) + + -0.0002*E*sin(2*Mdash - M) + + -0.0002*sin(omega); details.TimeOfMaximumEclipse += DeltaJD; - double P = 0.2070*E*sin(M) + - 0.0024*E*sin(2*M) + - -0.0392*sin(Mdash) + - 0.0116*sin(2*Mdash) + - -0.0073*E*sin(Mdash + M) + - 0.0067*E*sin(Mdash - M) + - 0.0118*sin(2*Fdash); + const double P = 0.2070*E*sin(M) + + 0.0024*E*sin(2*M) + + -0.0392*sin(Mdash) + + 0.0116*sin(2*Mdash) + + -0.0073*E*sin(Mdash + M) + + 0.0067*E*sin(Mdash - M) + + 0.0118*sin(2*Fdash); - double Q = 5.2207 + - -0.0048*E*cos(M) + - 0.0020*E*cos(2*M) + - -0.3299*cos(Mdash) + - -0.0060*E*cos(Mdash + M) + - 0.0041*E*cos(Mdash - M); + const double Q = 5.2207 + + -0.0048*E*cos(M) + + 0.0020*E*cos(2*M) + + -0.3299*cos(Mdash) + + -0.0060*E*cos(Mdash + M) + + 0.0041*E*cos(Mdash - M); - double W = fabs(cos(Fdash)); + const double W = fabs(cos(Fdash)); details.gamma = (P*cos(Fdash) + Q*sin(Fdash))*(1 - 0.0048*W); details.u = 0.0059 + - 0.0046*E*cos(M) + + 0.0046*E*cos(M) + -0.0182*cos(Mdash) + - 0.0004*cos(2*Mdash) + + 0.0004*cos(2*Mdash) + -0.0005*cos(M + Mdash); //Check to see if the eclipse is visible from the Earth's surface - if (fabs(details.gamma) > (1.5433 + details.u)) + const double fgamma = fabs(details.gamma); + if (fgamma > (1.5433 + details.u)) return details; - //We have an eclipse at this time - details.bEclipse = true; - - //In the case of a partial eclipse, calculate its magnitude - double fgamma = fabs(details.gamma); - if (((fgamma > 0.9972) && (fgamma < 1.5433 + details.u))) - details.GreatestMagnitude = (1.5433 + details.u - fgamma) / (0.5461 + 2*details.u); + //We have an eclipse at this time, fill in the details + if (fgamma < 0.9972) + { + if (details.u < 0) + details.Flags = CAASolarEclipseDetails::TOTAL_ECLIPSE; + else if (details.u > 0.0047) + details.Flags = CAASolarEclipseDetails::ANNULAR_ECLIPSE; + else if (details.u >= 0 && details.u <= 0.0047) + { + const double w = 0.00464 * sqrt(1 - (details.gamma * details.gamma)); + if (details.u < w) + details.Flags = CAASolarEclipseDetails::ANNULAR_TOTAL_ECLIPSE; + else + details.Flags = CAASolarEclipseDetails::ANNULAR_ECLIPSE; + } + + details.Flags |= CAASolarEclipseDetails::CENTRAL_ECLIPSE; + } + else if ((fgamma > 0.9972) && (fgamma < (1.5433 + details.u))) + { + if ((fgamma > 0.9972) && (fgamma < (0.9972 + fabs(details.u)))) + { + if (details.u < 0) + details.Flags = CAASolarEclipseDetails::TOTAL_ECLIPSE; + else if (details.u > 0.0047) + details.Flags = CAASolarEclipseDetails::ANNULAR_ECLIPSE; + else if (details.u >= 0 && details.u <= 0.0047) + { + const double w = 0.00464 * sqrt(1 - (details.gamma * details.gamma)); + if (details.u < w) + details.Flags = CAASolarEclipseDetails::ANNULAR_TOTAL_ECLIPSE; + else + details.Flags = CAASolarEclipseDetails::ANNULAR_ECLIPSE; + } + } + else + { + details.Flags = CAASolarEclipseDetails::PARTIAL_ECLIPSE; + details.GreatestMagnitude = (1.5433 + details.u - fgamma) / (0.5461 + (2*details.u)); + } + + details.Flags |= CAASolarEclipseDetails::NON_CENTRAL_ECLIPSE; + } return details; } -CAASolarEclipseDetails CAAEclipses::CalculateSolar(double k) +CAASolarEclipseDetails CAAEclipses::CalculateSolar(double k) noexcept { #ifdef _DEBUG double intp = 0; - bool bSolarEclipse = (modf(k, &intp) == 0); + const bool bSolarEclipse = (modf(k, &intp) == 0); assert(bSolarEclipse); #endif //#ifdef _DEBUG @@ -152,20 +193,20 @@ CAASolarEclipseDetails CAAEclipses::CalculateSolar(double k) return Calculate(k, Mdash); } -CAALunarEclipseDetails CAAEclipses::CalculateLunar(double k) +CAALunarEclipseDetails CAAEclipses::CalculateLunar(double k) noexcept { #ifdef _DEBUG double intp = 0; - bool bSolarEclipse = (modf(k, &intp) == 0); + const bool bSolarEclipse = (modf(k, &intp) == 0); assert(!bSolarEclipse); #endif //#ifdef _DEBUG double Mdash = 0; - CAASolarEclipseDetails solarDetails = Calculate(k, Mdash); + const CAASolarEclipseDetails solarDetails = Calculate(k, Mdash); //What will be the return value CAALunarEclipseDetails details; - details.bEclipse = solarDetails.bEclipse; + details.bEclipse = solarDetails.Flags != 0; details.F = solarDetails.F; details.gamma = solarDetails.gamma; details.TimeOfMaximumEclipse = solarDetails.TimeOfMaximumEclipse; @@ -175,25 +216,25 @@ CAALunarEclipseDetails CAAEclipses::CalculateLunar(double k) { details.PenumbralRadii = 1.2848 + details.u; details.UmbralRadii = 0.7403 - details.u; - double fgamma = fabs(details.gamma); + const double fgamma = fabs(details.gamma); details.PenumbralMagnitude = (1.5573 + details.u - fgamma) / 0.5450; details.UmbralMagnitude = (1.0128 - details.u - fgamma) / 0.5450; - double p = 1.0128 - details.u; - double t = 0.4678 - details.u; - double n = 0.5458 + 0.0400*cos(Mdash); + const double p = 1.0128 - details.u; + const double t = 0.4678 - details.u; + const double n = 0.5458 + 0.0400*cos(Mdash); - double gamma2 = details.gamma*details.gamma; - double p2 = p*p; + const double gamma2 = details.gamma*details.gamma; + const double p2 = p*p; if (p2 >= gamma2) details.PartialPhaseSemiDuration = 60/n*sqrt(p2 - gamma2); - - double t2 = t*t; - if (t2 >= gamma2) + + const double t2 = t*t; + if (t2 >= gamma2) details.TotalPhaseSemiDuration = 60/n*sqrt(t2 - gamma2); - double h = 1.5573 + details.u; - double h2 = h*h; + const double h = 1.5573 + details.u; + const double h2 = h*h; if (h2 >= gamma2) details.PartialPhasePenumbraSemiDuration = 60/n*sqrt(h2 - gamma2); } diff --git a/Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.cpp b/Sources/AAPlus/AAElementsPlanetaryOrbit.cpp old mode 100755 new mode 100644 similarity index 54% rename from Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.cpp rename to Sources/AAPlus/AAElementsPlanetaryOrbit.cpp index 177e0ab..be4ff66 --- a/Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.cpp +++ b/Sources/AAPlus/AAElementsPlanetaryOrbit.cpp @@ -1,5 +1,5 @@ /* -Module : AAELEMENTSPLANETARYORBIT.CPP +Module : AAElementsPlanetaryOrbit.cpp Purpose: Implementation for the algorithms to calculate the elements of the planetary orbits Created: PJN / 29-12-2003 History: PJN / 27-10-2012 1. Fixed a transcription bug in CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion. The correct @@ -9,8 +9,9 @@ History: PJN / 27-10-2012 1. Fixed a transcription bug in CAAElementsPlanetaryOr incorrect coefficient would have returned a value too small by 0.77 degrees for every Julian century after the epoch J2000.0 = 2000 January 1.5 TD = JDE 2451545.0. Thanks to Sudhakar Gumparthi for reporting this bug. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -34,685 +35,549 @@ to maintain a single distribution point for the source code. /////////////////////////// Implementation //////////////////////////////////// -double CAAElementsPlanetaryOrbit::MercuryMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::MercuryMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(252.250906 + 149474.0722491*T + 0.00030350*Tsquared + 0.000000018*Tcubed); } -double CAAElementsPlanetaryOrbit::MercurySemimajorAxis(double /*JD*/) +double CAAElementsPlanetaryOrbit::MercuryInclination(double JD) noexcept { - return 0.387098310; -} - -double CAAElementsPlanetaryOrbit::MercuryEccentricity(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.20563175 + 0.000020407*T - 0.0000000283*Tsquared - 0.00000000018*Tcubed; -} - -double CAAElementsPlanetaryOrbit::MercuryInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(7.004986 + 0.0018215*T - 0.00001810*Tsquared + 0.000000056*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(48.330893 + 1.1861883*T + 0.00017542*Tsquared + 0.000000215*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::MercuryLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(77.456119 + 1.5564776*T + 0.00029544*Tsquared + 0.000000009*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::VenusMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(181.979801 + 58519.2130302*T + 0.00031014*Tsquared + 0.000000015*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusSemimajorAxis(double /*JD*/) +double CAAElementsPlanetaryOrbit::VenusInclination(double JD) noexcept { - return 0.723329820; -} - -double CAAElementsPlanetaryOrbit::VenusEccentricity(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.00677192 - 0.000047765*T + 0.0000000981*Tsquared + 0.00000000046*Tcubed; -} - -double CAAElementsPlanetaryOrbit::VenusInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(3.394662 + 0.0010037*T - 0.00000088*Tsquared - 0.000000007*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(76.679920 + 0.9011206*T + 0.00040618*Tsquared - 0.000000093*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::VenusLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(131.563703 + 1.4022288*T - 0.00107618*Tsquared - 0.000005678*Tcubed); } -double CAAElementsPlanetaryOrbit::EarthMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::EarthMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(100.466457 + 36000.7698278*T + 0.00030322*Tsquared + 0.000000020*Tcubed); } -double CAAElementsPlanetaryOrbit::EarthSemimajorAxis(double /*JD*/) -{ - return 1.000001018; -} - -double CAAElementsPlanetaryOrbit::EarthEccentricity(double JD) +double CAAElementsPlanetaryOrbit::EarthLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.01670863 - 0.000042037*T - 0.0000001267*Tsquared + 0.00000000014*Tcubed; -} - -double CAAElementsPlanetaryOrbit::EarthInclination(double /*JD*/) -{ - return 0; -} - -double CAAElementsPlanetaryOrbit::EarthLongitudePerihelion(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(102.937348 + 1.17195366*T + 0.00045688*Tsquared - 0.000000018*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::MarsMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(355.433000 + 19141.6964471*T + 0.00031052*Tsquared + 0.000000016*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsSemimajorAxis(double /*JD*/) +double CAAElementsPlanetaryOrbit::MarsInclination(double JD) noexcept { - return 1.523679342; -} - -double CAAElementsPlanetaryOrbit::MarsEccentricity(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.09340065 + 0.000090484*T - 0.0000000806*Tsquared - 0.00000000025*Tcubed; -} - -double CAAElementsPlanetaryOrbit::MarsInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(1.849726 - 0.0006011*T + 0.00001276*Tsquared - 0.000000007*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(49.588093 + 0.7720959*T + 0.00001557*Tsquared + 0.000002267*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::MarsLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(336.060234 + 1.8410449*T + 0.00013477*Tsquared + 0.000000536*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::JupiterMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(34.351519 + 3036.3027748*T + 0.00022330*Tsquared + 0.000000037*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterSemimajorAxis(double JD) +double CAAElementsPlanetaryOrbit::JupiterInclination(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - - return 5.202603209 + 0.0000001913*T; -} - -double CAAElementsPlanetaryOrbit::JupiterEccentricity(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.04849793 + 0.000163225*T - 0.0000004714*Tsquared - 0.00000000201*Tcubed; -} - -double CAAElementsPlanetaryOrbit::JupiterInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(1.303267 - 0.0054965*T + 0.00000466*Tsquared - 0.000000002*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(100.464407 + 1.0209774*T + 0.00040315*Tsquared + 0.000000404*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::JupiterLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(14.331207 + 1.6126352*T + 0.00103042*Tsquared - 0.000004464*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::SaturnMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(50.077444 + 1223.5110686*T + 0.00051908*Tsquared - 0.000000030*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnSemimajorAxis(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - - return 9.554909192 - 0.0000021390*T + 0.000000004*Tsquared; -} - -double CAAElementsPlanetaryOrbit::SaturnEccentricity(double JD) +double CAAElementsPlanetaryOrbit::SaturnInclination(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.05554814 - 0.0003446641*T - 0.0000006436*Tsquared + 0.00000000340*Tcubed; -} - -double CAAElementsPlanetaryOrbit::SaturnInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(2.488879 - 0.0037362*T - 0.00001519*Tsquared + 0.000000087*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(113.665503 + 0.8770880*T - 0.00012176*Tsquared - 0.000002249*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(93.057237 + 1.9637613*T + 0.00083753*Tsquared + 0.000004928*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::UranusMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(314.055005 + 429.8640561*T + 0.00030390*Tsquared + 0.000000026*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusSemimajorAxis(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - - return 19.218446062 - 0.0000000372*T + 0.00000000098*Tsquared; -} - -double CAAElementsPlanetaryOrbit::UranusEccentricity(double JD) +double CAAElementsPlanetaryOrbit::UranusInclination(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.04638122 - 0.000027293*T + 0.0000000789*Tsquared + 0.00000000024*Tcubed; -} - -double CAAElementsPlanetaryOrbit::UranusInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(0.773197 + 0.0007744*T + 0.00003749*Tsquared - 0.000000092*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(74.005957 + 0.5211278*T + 0.00133947*Tsquared + 0.000018484*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::UranusLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(173.005291 + 1.4863790*T + 0.00021406*Tsquared + 0.000000434*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneMeanLongitude(double JD) +double CAAElementsPlanetaryOrbit::NeptuneMeanLongitude(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(304.348665 + 219.8833092*T + 0.00030882*Tsquared + 0.000000018*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneSemimajorAxis(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - - return 30.110386869 - 0.0000001663*T + 0.00000000069*Tsquared; -} - -double CAAElementsPlanetaryOrbit::NeptuneEccentricity(double JD) +double CAAElementsPlanetaryOrbit::NeptuneInclination(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tcubed = T*T*T; - - return 0.00945575 + 0.000006033*T - 0.00000000005*Tcubed; -} - -double CAAElementsPlanetaryOrbit::NeptuneInclination(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(1.769953 - 0.0093082*T - 0.00000708*Tsquared + 0.000000027*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNode(double JD) +double CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNode(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(131.784057 + 1.1022039*T + 0.00025952*Tsquared - 0.000000637*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelion(double JD) +double CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelion(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(48.120276 + 1.4262957*T + 0.00038434*Tsquared + 0.000000020*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(252.250906 + 149472.6746358*T - 0.00000536*Tsquared + 0.000000002*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::MercuryInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(7.004986 - 0.0059516*T + 0.00000080*Tsquared + 0.000000043*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(48.330893 - 0.1254227*T - 0.00008833*Tsquared - 0.000000200*Tcubed); } -double CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(77.456119 + 0.1588643*T - 0.00001342*Tsquared - 0.000000007*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(181.979801 + 58517.8156760*T + 0.00000165*Tsquared - 0.000000002*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::VenusInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(3.394662 - 0.0008568*T - 0.00003244*Tsquared + 0.000000009*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(76.679920 - 0.2780134*T - 0.00014257*Tsquared - 0.000000164*Tcubed); } -double CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(131.563703 + 0.0048746*T - 0.00138467*Tsquared - 0.000005695*Tcubed); } -double CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(100.466457 + 35999.3728565*T - 0.00000568*Tsquared - 0.000000001*Tcubed); } -double CAAElementsPlanetaryOrbit::EarthInclinationJ2000(double JD) -{ - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - - return 0.0130548*T - 0.00000931*Tsquared - 0.000000034*Tcubed; -} - -double CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(174.873176 - 0.241098*T + 0.00004262*Tsquared + 0.000000001*Tcubed); } -double CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(102.937348 + 0.3225654*T + 0.00014799*Tsquared - 0.000000039*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(355.433000 + 19140.2993039*T + 0.00000262*Tsquared - 0.000000003*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::MarsInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(1.849726 - 0.0081477*T - 0.00002255*Tsquared - 0.000000029*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(49.588093 - 0.2950250*T - 0.00064048*Tsquared - 0.000001964*Tcubed); } -double CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(336.060234 + 0.4439016*T - 0.00017313*Tsquared + 0.000000518*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(34.351519 + 3034.9056606*T - 0.00008501*Tsquared + 0.000000016*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::JupiterInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(1.303267 - 0.0019877*T + 0.00003320*Tsquared + 0.000000097*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(100.464407 + 0.1767232*T + 0.00090700*Tsquared - 0.000007272*Tcubed); } -double CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(14.331207 + 0.2155209*T + 0.00072211*Tsquared - 0.000004485*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(50.077444 + 1222.1138488*T + 0.00021004*Tsquared - 0.000000046*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::SaturnInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(2.488879 + 0.0025514*T - 0.00004906*Tsquared + 0.000000017*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(113.665503 - 0.2566722*T - 0.00018399*Tsquared + 0.000000480*Tcubed); } -double CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(93.057237 + 0.5665415*T + 0.00052850*Tsquared + 0.000004912*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(314.055005 + 428.4669983*T - 0.00000486*Tsquared + 0.000000006*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::UranusInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(0.773197 - 0.0016869*T + 0.00000349*Tsquared + 0.000000016*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(74.005957 + 0.0741431*T + 0.00040539*Tsquared + 0.000000119*Tcubed); } -double CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(173.005291 + 0.0893212*T - 0.00009470*Tsquared + 0.000000414*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000(double JD) +double CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(304.348665 + 218.4862002*T + 0.00000059*Tsquared - 0.000000002*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneInclinationJ2000(double JD) +double CAAElementsPlanetaryOrbit::NeptuneInclinationJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; return CAACoordinateTransformation::MapTo0To360Range(1.769953 + 0.0002256*T + 0.00000023*Tsquared); } -double CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000(double JD) +double CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; return CAACoordinateTransformation::MapTo0To360Range(131.784057 - 0.0061651*T - 0.00000219*Tsquared - 0.000000078*Tcubed); } -double CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000(double JD) +double CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000(double JD) noexcept { - double T = (JD - 2451545.0) / 36525; - double Tsquared = T*T; + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T*T; return CAACoordinateTransformation::MapTo0To360Range(48.120276 + 0.0291866*T + 0.00007610*Tsquared); } diff --git a/Vendor/AA+/1.6.3/AAElliptical.cpp b/Sources/AAPlus/AAElliptical.cpp old mode 100755 new mode 100644 similarity index 72% rename from Vendor/AA+/1.6.3/AAElliptical.cpp rename to Sources/AAPlus/AAElliptical.cpp index 995a8a2..a35bc87 --- a/Vendor/AA+/1.6.3/AAElliptical.cpp +++ b/Sources/AAPlus/AAElliptical.cpp @@ -1,5 +1,5 @@ /* -Module : AAELLIPTICAL.CPP +Module : AAElliptical.cpp Purpose: Implementation for the algorithms for an elliptical orbit Created: PJN / 29-12-2003 History: PJN / 24-05-2004 1. Fixed a missing break statement in CAAElliptical::Calculate. Thanks to @@ -46,8 +46,10 @@ History: PJN / 24-05-2004 1. Fixed a missing break statement in CAAElliptical::C PJN / 16-09-2015 1. CAAElliptical::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 03-10-2021 1. Renamed CAAElliptical::EllipticalObject type to Object. -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -57,7 +59,7 @@ You are allowed to include the source code in any product (commercial, shareware when your product is released in binary form. You are allowed to modify the source code in any way you want except you cannot modify the copyright details at the top of each module. If you want to distribute source code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +to maintain a single distribution point for the source code. */ @@ -88,12 +90,7 @@ using namespace std; ////////////////////////////// Implementation ///////////////////////////////// -double CAAElliptical::DistanceToLightTime(double Distance) -{ - return Distance * 0.0057755183; -} - -CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObject object, bool bHighPrecision) +CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, Object object, bool bHighPrecision) noexcept { //What will be the return value CAAEllipticalPlanetaryDetails details; @@ -102,16 +99,16 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje double JD0 = JD; double L0 = CAAEarth::EclipticLongitude(JD0, bHighPrecision); double B0 = CAAEarth::EclipticLatitude(JD0, bHighPrecision); - double R0 = CAAEarth::RadiusVector(JD0, bHighPrecision); + const double R0 = CAAEarth::RadiusVector(JD0, bHighPrecision); L0 = CAACoordinateTransformation::DegreesToRadians(L0); B0 = CAACoordinateTransformation::DegreesToRadians(B0); - double cosB0 = cos(B0); + const double cosB0 = cos(B0); //Iterate to find the positions adjusting for light-time correction if required double L = 0; double B = 0; double R = 0; - if (object != SUN) + if (object != Object::SUN) { bool bRecalc = true; bool bFirstRecalc = true; @@ -122,62 +119,55 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje { switch (object) { - case MERCURY: + case Object::MERCURY: { L = CAAMercury::EclipticLongitude(JD0, bHighPrecision); B = CAAMercury::EclipticLatitude(JD0, bHighPrecision); R = CAAMercury::RadiusVector(JD0, bHighPrecision); break; } - case VENUS: + case Object::VENUS: { L = CAAVenus::EclipticLongitude(JD0, bHighPrecision); B = CAAVenus::EclipticLatitude(JD0, bHighPrecision); R = CAAVenus::RadiusVector(JD0, bHighPrecision); break; } - case MARS: + case Object::MARS: { L = CAAMars::EclipticLongitude(JD0, bHighPrecision); B = CAAMars::EclipticLatitude(JD0, bHighPrecision); R = CAAMars::RadiusVector(JD0, bHighPrecision); break; } - case JUPITER: + case Object::JUPITER: { L = CAAJupiter::EclipticLongitude(JD0, bHighPrecision); B = CAAJupiter::EclipticLatitude(JD0, bHighPrecision); R = CAAJupiter::RadiusVector(JD0, bHighPrecision); break; } - case SATURN: + case Object::SATURN: { L = CAASaturn::EclipticLongitude(JD0, bHighPrecision); B = CAASaturn::EclipticLatitude(JD0, bHighPrecision); R = CAASaturn::RadiusVector(JD0, bHighPrecision); break; } - case URANUS: + case Object::URANUS: { L = CAAUranus::EclipticLongitude(JD0, bHighPrecision); B = CAAUranus::EclipticLatitude(JD0, bHighPrecision); R = CAAUranus::RadiusVector(JD0, bHighPrecision); break; } - case NEPTUNE: + case Object::NEPTUNE: { L = CAANeptune::EclipticLongitude(JD0, bHighPrecision); B = CAANeptune::EclipticLatitude(JD0, bHighPrecision); R = CAANeptune::RadiusVector(JD0, bHighPrecision); break; } - case PLUTO: - { - L = CAAPluto::EclipticLongitude(JD0); - B = CAAPluto::EclipticLatitude(JD0); - R = CAAPluto::RadiusVector(JD0); - break; - } default: { assert(false); @@ -193,19 +183,19 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje RPrevious = R; } else - bFirstRecalc = false; + bFirstRecalc = false; //Calculate the new value if (bRecalc) { - double Lrad = CAACoordinateTransformation::DegreesToRadians(L); - double Brad = CAACoordinateTransformation::DegreesToRadians(B); - double cosB = cos(Brad); - double cosL = cos(Lrad); - double x = R * cosB * cosL - R0 * cosB0 * cos(L0); - double y = R * cosB * sin(Lrad) - R0 * cosB0 * sin(L0); - double z = R * sin(Brad) - R0 * sin(B0); - double distance = sqrt(x*x + y*y + z*z); + const double Lrad = CAACoordinateTransformation::DegreesToRadians(L); + const double Brad = CAACoordinateTransformation::DegreesToRadians(B); + const double cosB = cos(Brad); + const double cosL = cos(Lrad); + const double x = R * cosB * cosL - R0 * cosB0 * cos(L0); + const double y = R * cosB * sin(Lrad) - R0 * cosB0 * sin(L0); + const double z = R * sin(Brad) - R0 * sin(B0); + const double distance = sqrt(x*x + y*y + z*z); //Prepare for the next loop around JD0 = JD - CAAElliptical::DistanceToLightTime(distance); @@ -216,12 +206,12 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje double x = 0; double y = 0; double z = 0; - if (object != SUN) + if (object != Object::SUN) { - double Lrad = CAACoordinateTransformation::DegreesToRadians(L); - double Brad = CAACoordinateTransformation::DegreesToRadians(B); - double cosB = cos(Brad); - double cosL = cos(Lrad); + const double Lrad = CAACoordinateTransformation::DegreesToRadians(L); + const double Brad = CAACoordinateTransformation::DegreesToRadians(B); + const double cosB = cos(Brad); + const double cosL = cos(Lrad); x = R * cosB * cosL - R0 * cosB0 * cos(L0); y = R * cosB * sin(Lrad) - R0 * cosB0 * sin(L0); @@ -233,8 +223,8 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje y = - R0 * cosB0 * sin(L0); z = - R0 * sin(B0); } - double x2 = x*x; - double y2 = y*y; + const double x2 = x*x; + const double y2 = y*y; details.ApparentGeocentricLatitude = CAACoordinateTransformation::RadiansToDegrees(atan2(z, sqrt(x2 + y2))); details.ApparentGeocentricDistance = sqrt(x2 + y2 + z*z); @@ -242,39 +232,34 @@ CAAEllipticalPlanetaryDetails CAAElliptical::Calculate(double JD, EllipticalObje details.ApparentLightTime = CAAElliptical::DistanceToLightTime(details.ApparentGeocentricDistance); //Adjust for Aberration - CAA2DCoordinate Aberration = CAAAberration::EclipticAberration(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, JD, bHighPrecision); + const CAA2DCoordinate Aberration = CAAAberration::EclipticAberration(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, JD, bHighPrecision); details.ApparentGeocentricLongitude += Aberration.X; details.ApparentGeocentricLatitude += Aberration.Y; //convert to the FK5 system - double DeltaLong = CAAFK5::CorrectionInLongitude(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, JD); + const double DeltaLong = CAAFK5::CorrectionInLongitude(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, JD); details.ApparentGeocentricLatitude += CAAFK5::CorrectionInLatitude(details.ApparentGeocentricLongitude, JD); details.ApparentGeocentricLongitude += DeltaLong; //Correct for nutation - double NutationInLongitude = CAANutation::NutationInLongitude(JD); + const double NutationInLongitude = CAANutation::NutationInLongitude(JD); details.ApparentGeocentricLongitude += CAACoordinateTransformation::DMSToDegrees(0, 0, NutationInLongitude); //Convert to RA and Dec - double Epsilon = CAANutation::TrueObliquityOfEcliptic(JD); - CAA2DCoordinate ApparentEqu = CAACoordinateTransformation::Ecliptic2Equatorial(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, Epsilon); + const double Epsilon = CAANutation::TrueObliquityOfEcliptic(JD); + const CAA2DCoordinate ApparentEqu = CAACoordinateTransformation::Ecliptic2Equatorial(details.ApparentGeocentricLongitude, details.ApparentGeocentricLatitude, Epsilon); details.ApparentGeocentricRA = ApparentEqu.X; details.ApparentGeocentricDeclination = ApparentEqu.Y; return details; } -double CAAElliptical::SemiMajorAxisFromPerihelionDistance(double q, double e) -{ - return q / (1 - e); -} - -double CAAElliptical::MeanMotionFromSemiMajorAxis(double a) +double CAAElliptical::MeanMotionFromSemiMajorAxis(double a) noexcept { return 0.9856076686 / (a * sqrt(a)); } -CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAEllipticalObjectElements& elements, bool bHighPrecision) +CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAEllipticalObjectElements& elements, bool bHighPrecision) noexcept { double Epsilon = CAANutation::MeanObliquityOfEcliptic(elements.JDEquinox); @@ -284,43 +269,43 @@ CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAElliptic CAAEllipticalObjectDetails details; Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); - double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); - double w = CAACoordinateTransformation::DegreesToRadians(elements.w); - double i = CAACoordinateTransformation::DegreesToRadians(elements.i); - - double sinEpsilon = sin(Epsilon); - double cosEpsilon = cos(Epsilon); - double sinOmega = sin(omega); - double cosOmega = cos(omega); - double cosi = cos(i); - double sini = sin(i); - - double F = cosOmega; - double G = sinOmega * cosEpsilon; - double H = sinOmega * sinEpsilon; - double P = -sinOmega * cosi; - double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; - double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; - double a = sqrt(F*F + P*P); - double b = sqrt(G*G + Q*Q); - double c = sqrt(H*H + R*R); - double A = atan2(F, P); - double B = atan2(G, Q); - double C = atan2(H, R); - double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); - - CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); + const double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); + const double w = CAACoordinateTransformation::DegreesToRadians(elements.w); + const double i = CAACoordinateTransformation::DegreesToRadians(elements.i); + + const double sinEpsilon = sin(Epsilon); + const double cosEpsilon = cos(Epsilon); + const double sinOmega = sin(omega); + const double cosOmega = cos(omega); + const double cosi = cos(i); + const double sini = sin(i); + + const double F = cosOmega; + const double G = sinOmega * cosEpsilon; + const double H = sinOmega * sinEpsilon; + const double P = -sinOmega * cosi; + const double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; + const double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; + const double a = sqrt(F*F + P*P); + const double b = sqrt(G*G + Q*Q); + const double c = sqrt(H*H + R*R); + const double A = atan2(F, P); + const double B = atan2(G, Q); + const double C = atan2(H, R); + const double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); + + const CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); for (int j=0; j<2; j++) { - double M = n * (JD0 - elements.T); + const double M = n * (JD0 - elements.T); double E = CAAKepler::Calculate(M, elements.e); E = CAACoordinateTransformation::DegreesToRadians(E); - double v = 2*atan(sqrt((1 + elements.e) / (1 - elements.e)) * tan(E/2)); - double r = elements.a * (1 - elements.e*cos(E)); - double x = r * a * sin(A + w + v); - double y = r * b * sin(B + w + v); - double z = r * c * sin(C + w + v); + const double v = 2*atan(sqrt((1 + elements.e) / (1 - elements.e)) * tan(E/2)); + const double r = elements.a * (1 - elements.e*cos(E)); + const double x = r * a * sin(A + w + v); + const double y = r * b * sin(B + w + v); + const double z = r * c * sin(C + w + v); if (j == 0) { @@ -329,9 +314,9 @@ CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAElliptic details.HeliocentricRectangularEquatorial.Z = z; //Calculate the heliocentric ecliptic coordinates also - double u = w + v; - double cosu = cos(u); - double sinu = sin(u); + const double u = w + v; + const double cosu = cos(u); + const double sinu = sin(u); details.HeliocentricRectangularEcliptical.X = r * (cosOmega*cosu - sinOmega*sinu*cosi); details.HeliocentricRectangularEcliptical.Y = r * (sinOmega*cosu + cosOmega*sinu*cosi); @@ -341,15 +326,15 @@ CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAElliptic details.HeliocentricEclipticLatitude = CAACoordinateTransformation::RadiansToDegrees(asin(details.HeliocentricRectangularEcliptical.Z / r)); } - double psi = SunCoord.X + x; - double nu = SunCoord.Y + y; - double sigma = SunCoord.Z + z; + const double psi = SunCoord.X + x; + const double nu = SunCoord.Y + y; + const double sigma = SunCoord.Z + z; double Alpha = atan2(nu, psi); Alpha = CAACoordinateTransformation::RadiansToDegrees(Alpha); double Delta = atan2(sigma, sqrt(psi*psi + nu*nu)); Delta = CAACoordinateTransformation::RadiansToDegrees(Delta); - double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); + const double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); if (j == 0) { @@ -365,7 +350,7 @@ CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAElliptic details.AstrometricGeocentricDistance = Distance; details.AstrometricGeocentricLightTime = DistanceToLightTime(Distance); - double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); + const double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); details.Elongation = acos((RES*RES + Distance*Distance - r*r) / (2 * RES * Distance)); details.Elongation = CAACoordinateTransformation::RadiansToDegrees(details.Elongation); @@ -381,39 +366,39 @@ CAAEllipticalObjectDetails CAAElliptical::Calculate(double JD, const CAAElliptic return details; } -double CAAElliptical::InstantaneousVelocity(double r, double a) +double CAAElliptical::InstantaneousVelocity(double r, double a) noexcept { return 42.1219 * sqrt((1/r) - (1/(2*a))); } -double CAAElliptical::VelocityAtPerihelion(double e, double a) +double CAAElliptical::VelocityAtPerihelion(double e, double a) noexcept { return 29.7847 / sqrt(a) * sqrt((1+e)/(1-e)); } -double CAAElliptical::VelocityAtAphelion(double e, double a) +double CAAElliptical::VelocityAtAphelion(double e, double a) noexcept { return 29.7847 / sqrt(a) * sqrt((1-e)/(1+e)); } -double CAAElliptical::LengthOfEllipse(double e, double a) +double CAAElliptical::LengthOfEllipse(double e, double a) noexcept { - double b = a * sqrt(1 - e*e); + const double b = a * sqrt(1 - e*e); return CAACoordinateTransformation::PI() * (3 * (a+b) - sqrt((a+3*b)*(3*a + b))); } -double CAAElliptical::CometMagnitude(double g, double delta, double k, double r) +double CAAElliptical::CometMagnitude(double g, double delta, double k, double r) noexcept { return g + 5*log10(delta) + k*log10(r); } -double CAAElliptical::MinorPlanetMagnitude(double H, double delta, double G, double r, double PhaseAngle) +double CAAElliptical::MinorPlanetMagnitude(double H, double delta, double G, double r, double PhaseAngle) noexcept { //Convert from degrees to radians PhaseAngle = CAACoordinateTransformation::DegreesToRadians(PhaseAngle); - double phi1 = exp(-3.33*pow(tan(PhaseAngle/2), 0.63)); - double phi2 = exp(-1.87*pow(tan(PhaseAngle/2), 1.22)); + const double phi1 = exp(-3.33*pow(tan(PhaseAngle/2), 0.63)); + const double phi2 = exp(-1.87*pow(tan(PhaseAngle/2), 1.22)); return H + 5*log10(r*delta) - 2.5*log10((1 - G)*phi1 + G*phi2); } diff --git a/Vendor/AA+/1.6.3/AAEquationOfTime.cpp b/Sources/AAPlus/AAEquationOfTime.cpp old mode 100755 new mode 100644 similarity index 68% rename from Vendor/AA+/1.6.3/AAEquationOfTime.cpp rename to Sources/AAPlus/AAEquationOfTime.cpp index 268ac75..c447fed --- a/Vendor/AA+/1.6.3/AAEquationOfTime.cpp +++ b/Sources/AAPlus/AAEquationOfTime.cpp @@ -1,5 +1,5 @@ /* -Module : AAEQUATIONOFTIME.CPP +Module : AAEquationOfTime.cpp Purpose: Implementation for the algorithms to calculate the "Equation of Time" Created: PJN / 29-12-2003 History: PJN / 05-07-2005 1. Fix for a bug to ensure that values returned from CAAEquationOfTime::Calculate @@ -8,8 +8,9 @@ History: PJN / 05-07-2005 1. Fix for a bug to ensure that values returned from C PJN / 16-09-2015 1. CAAEquationOfTime::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,23 +39,23 @@ using namespace std; ///////////////////////// Implementation ////////////////////////////////////// -double CAAEquationOfTime::Calculate(double JD, bool bHighPrecision) +double CAAEquationOfTime::Calculate(double JD, bool bHighPrecision) noexcept { - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; //Calculate the Suns mean longitude - double L0 = CAACoordinateTransformation::MapTo0To360Range(280.4664567 + 360007.6982779*rho + 0.03032028*rhosquared + - rhocubed / 49931 - rho4 / 15300 - rho5 / 2000000); + const double L0 = CAACoordinateTransformation::MapTo0To360Range(280.4664567 + 360007.6982779*rho + 0.03032028*rhosquared + + rhocubed / 49931 - rho4 / 15300 - rho5 / 2000000); //Calculate the Suns apparent right ascension - double SunLong = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); - double SunLat = CAASun::ApparentEclipticLatitude(JD, bHighPrecision); + const double SunLong = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); + const double SunLat = CAASun::ApparentEclipticLatitude(JD, bHighPrecision); double epsilon = CAANutation::TrueObliquityOfEcliptic(JD); - CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLong, SunLat, epsilon); + const CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLong, SunLat, epsilon); epsilon = CAACoordinateTransformation::DegreesToRadians(epsilon); double E = L0 - 0.0057183 - Equatorial.X*15 + CAACoordinateTransformation::DMSToDegrees(0, 0, CAANutation::NutationInLongitude(JD))*cos(epsilon); diff --git a/Sources/AAPlus/AAEquinoxesAndSolstices2.cpp b/Sources/AAPlus/AAEquinoxesAndSolstices2.cpp new file mode 100644 index 0000000..2c0ef92 --- /dev/null +++ b/Sources/AAPlus/AAEquinoxesAndSolstices2.cpp @@ -0,0 +1,100 @@ +/* +Module : AAEquinoxesAndSoltices2.cpp +Purpose: Implementation for the algorithms to calculate the dates of the Equinoxes and Solstices (revised version) +Created: PJN / 28-09-2019 +History: PJN / 28-09-2019 1. Initial implementation + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AAEquinoxesAndSolstices2.h" +#include "AASun.h" +#include "AANutation.h" +#include "AACoordinateTransformation.h" +#include "AAInterpolate.h" +#include +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +vector CAAEquinoxesAndSolstices2::Calculate(double StartJD, double EndJD, double StepInterval, bool bHighPrecision) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastJD0 = 0; + double LastLatitude0 = -90; + double LastLatitude1 = -90; + while (JD < EndJD) + { + const double lambda = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); + const double beta = CAASun::ApparentEclipticLatitude(JD, bHighPrecision); + const double epsilon = CAANutation::TrueObliquityOfEcliptic(JD); + const CAA2DCoordinate Solarcoord = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, epsilon); + if (LastLatitude0 != -90) + { + if ((LastLatitude0 < 0) && (Solarcoord.Y >= 0)) + { + CAAEquinoxSolsticeDetails2 event; + event.type = CAAEquinoxSolsticeDetails2::Type::NorthwardEquinox; + const double fraction = (0 - LastLatitude0) / (Solarcoord.Y - LastLatitude0); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastLatitude0 > 0) && (Solarcoord.Y <= 0)) + { + CAAEquinoxSolsticeDetails2 event; + event.type = CAAEquinoxSolsticeDetails2::Type::SouthwardEquinox; + const double fraction = (0 - LastLatitude0) / (Solarcoord.Y - LastLatitude0); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + } + if ((LastLatitude0 != -90) && (LastLatitude1 != -90)) + { + if ((LastLatitude0 > Solarcoord.Y) && (LastLatitude0 > LastLatitude1)) + { + CAAEquinoxSolsticeDetails2 event; + event.type = CAAEquinoxSolsticeDetails2::Type::NorthernSolstice; + double fraction = 0; + event.Declination = CAAInterpolate::Extremum(LastLatitude1, LastLatitude0, Solarcoord.Y, fraction); + event.JD = JD - StepInterval + (fraction*StepInterval); + events.push_back(event); + } + else if ((LastLatitude0 < Solarcoord.Y) && (LastLatitude0 < LastLatitude1)) + { + CAAEquinoxSolsticeDetails2 event; + event.type = CAAEquinoxSolsticeDetails2::Type::SouthernSolstice; + double fraction = 0; + event.Declination = CAAInterpolate::Extremum(LastLatitude1, LastLatitude0, Solarcoord.Y, fraction); + event.JD = JD - StepInterval + (fraction*StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastLatitude1 = LastLatitude0; + LastLatitude0 = Solarcoord.Y; + LastJD0 = JD; + JD += StepInterval; + } + + return events; +} diff --git a/Vendor/AA+/1.6.3/AAGalileanMoons.cpp b/Sources/AAPlus/AAGalileanMoons.cpp old mode 100755 new mode 100644 similarity index 50% rename from Vendor/AA+/1.6.3/AAGalileanMoons.cpp rename to Sources/AAPlus/AAGalileanMoons.cpp index d4096e3..dd262c7 --- a/Vendor/AA+/1.6.3/AAGalileanMoons.cpp +++ b/Sources/AAPlus/AAGalileanMoons.cpp @@ -1,5 +1,5 @@ /* -Module : AAGALILEANMOONS.CPP +Module : AAGalileanMoons.cpp Purpose: Implementation for the algorithms which obtain the positions of the 4 great moons of Jupiter Created: PJN / 06-01-2004 History: PJN / 08-05-2011 1. Fixed a bug in CAAGalileanMoons::CalculateHelper where the periodic terms in longitude for @@ -8,8 +8,11 @@ History: PJN / 08-05-2011 1. Fixed a bug in CAAGalileanMoons::CalculateHelper wh PJN / 16-09-2015 1. CAAGalileanMoons::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 24-07-2018 1. Fixed a number of GCC warnings in the method CAAGalileanMoons::CalculateHelper. Thanks to + Todd Carnes for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -40,7 +43,7 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) +CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) noexcept { //What will be the return value CAAGalileanMoonsDetails details; @@ -52,21 +55,16 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl double x = 0; double y = 0; double z = 0; - double l = 0; - double lrad; - double b = 0; - double brad; - double r; double JD1 = JD - LightTravelTime; bool bIterate = true; while (bIterate) { //Calculate the position of Jupiter - l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); - lrad = CAACoordinateTransformation::DegreesToRadians(l); - b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); - brad = CAACoordinateTransformation::DegreesToRadians(b); - r = CAAJupiter::RadiusVector(JD1, bHighPrecision); + const double l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAAJupiter::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad) + R*cos(sunlongrad); y = r*cos(brad)*sin(lrad) + R*sin(sunlongrad); @@ -75,7 +73,7 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl LightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2E-6); //2E-6 corresponds to 0.17 of a second + bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2e-6); //2e-6 corresponds to 0.17 of a second if (bIterate) { JD1 = JD - LightTravelTime; @@ -84,212 +82,212 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl } //Calculate Jupiter's Longitude and Latitude - double lambda0 = atan2(y, x); - double beta0 = atan(z/sqrt(x*x + y*y)); + const double lambda0 = atan2(y, x); + const double beta0 = atan(z/sqrt(x*x + y*y)); - double t = JD - 2443000.5 - LightTravelTime; + const double t = JD - 2443000.5 - LightTravelTime; //Calculate the mean longitudes - double l1 = 106.07719 + 203.488955790*t; - double l1rad = CAACoordinateTransformation::DegreesToRadians(l1); - double l2 = 175.73161 + 101.374724735*t; - double l2rad = CAACoordinateTransformation::DegreesToRadians(l2); - double l3 = 120.55883 + 50.317609207*t; - double l3rad = CAACoordinateTransformation::DegreesToRadians(l3); - double l4 = 84.44459 + 21.571071177*t; - double l4rad = CAACoordinateTransformation::DegreesToRadians(l4); + const double l1 = 106.07719 + 203.488955790*t; + const double l1rad = CAACoordinateTransformation::DegreesToRadians(l1); + const double l2 = 175.73161 + 101.374724735*t; + const double l2rad = CAACoordinateTransformation::DegreesToRadians(l2); + const double l3 = 120.55883 + 50.317609207*t; + const double l3rad = CAACoordinateTransformation::DegreesToRadians(l3); + const double l4 = 84.44459 + 21.571071177*t; + const double l4rad = CAACoordinateTransformation::DegreesToRadians(l4); //Calculate the perijoves - double pi1 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(97.0881 + 0.16138586*t)); - double pi2 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(154.8663 + 0.04726307*t)); - double pi3 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(188.1840 + 0.00712734*t)); - double pi4 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(335.2868 + 0.00184000*t)); + const double pi1 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(97.0881 + 0.16138586*t)); + const double pi2 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(154.8663 + 0.04726307*t)); + const double pi3 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(188.1840 + 0.00712734*t)); + const double pi4 = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::MapTo0To360Range(335.2868 + 0.00184000*t)); //Calculate the nodes on the equatorial plane of jupiter - double w1 = 312.3346 - 0.13279386*t; - double w1rad = CAACoordinateTransformation::DegreesToRadians(w1); - double w2 = 100.4411 - 0.03263064*t; - double w2rad = CAACoordinateTransformation::DegreesToRadians(w2); - double w3 = 119.1942 - 0.00717703*t; - double w3rad = CAACoordinateTransformation::DegreesToRadians(w3); - double w4 = 322.6186 - 0.00175934*t; - double w4rad = CAACoordinateTransformation::DegreesToRadians(w4); + const double w1 = 312.3346 - 0.13279386*t; + const double w1rad = CAACoordinateTransformation::DegreesToRadians(w1); + const double w2 = 100.4411 - 0.03263064*t; + const double w2rad = CAACoordinateTransformation::DegreesToRadians(w2); + const double w3 = 119.1942 - 0.00717703*t; + const double w3rad = CAACoordinateTransformation::DegreesToRadians(w3); + const double w4 = 322.6186 - 0.00175934*t; + const double w4rad = CAACoordinateTransformation::DegreesToRadians(w4); //Calculate the Principal inequality in the longitude of Jupiter - double GAMMA = 0.33033*sin(CAACoordinateTransformation::DegreesToRadians(163.679 + 0.0010512*t)) + - 0.03439*sin(CAACoordinateTransformation::DegreesToRadians(34.486 - 0.0161731*t)); + const double GAMMA = 0.33033*sin(CAACoordinateTransformation::DegreesToRadians(163.679 + 0.0010512*t)) + + 0.03439*sin(CAACoordinateTransformation::DegreesToRadians(34.486 - 0.0161731*t)); //Calculate the "phase of free libration" - double philambda = CAACoordinateTransformation::DegreesToRadians(199.6766 + 0.17379190*t); + const double philambda = CAACoordinateTransformation::DegreesToRadians(199.6766 + 0.17379190*t); //Calculate the longitude of the node of the equator of Jupiter on the ecliptic double psi = CAACoordinateTransformation::DegreesToRadians(316.5182 - 0.00000208*t); //Calculate the mean anomalies of Jupiter and Saturn - double G = CAACoordinateTransformation::DegreesToRadians(30.23756 + 0.0830925701*t + GAMMA); - double Gdash = CAACoordinateTransformation::DegreesToRadians(31.97853 + 0.0334597339*t); + const double G = CAACoordinateTransformation::DegreesToRadians(30.23756 + 0.0830925701*t + GAMMA); + const double Gdash = CAACoordinateTransformation::DegreesToRadians(31.97853 + 0.0334597339*t); //Calculate the longitude of the perihelion of Jupiter - double PI = CAACoordinateTransformation::DegreesToRadians(13.469942); + constexpr double PI = CAACoordinateTransformation::DegreesToRadians(13.469942); //Calculate the periodic terms in the longitudes of the satellites - double Sigma1 = 0.47259*sin(2*(l1rad - l2rad)) + - -0.03478*sin(pi3 - pi4) + - 0.01081*sin(l2rad - 2*l3rad + pi3) + - 0.00738*sin(philambda) + - 0.00713*sin(l2rad - 2*l3rad + pi2) + - -0.00674*sin(pi1 + pi3 - 2*PI - 2*G) + - 0.00666*sin(l2rad - 2*l3rad + pi4) + - 0.00445*sin(l1rad - pi3) + - -0.00354*sin(l1rad - l2rad) + - -0.00317*sin(2*psi - 2*PI) + - 0.00265*sin(l1rad - pi4) + - -0.00186*sin(G) + - 0.00162*sin(pi2 - pi3) + - 0.00158*sin(4*(l1rad - l2rad)) + - -0.00155*sin(l1rad - l3rad) + - -0.00138*sin(psi + w3rad - 2*PI - 2*G) + - -0.00115*sin(2*(l1rad - 2*l2rad + w2rad)) + - 0.00089*sin(pi2 - pi4) + - 0.00085*sin(l1rad + pi3 - 2*PI - 2*G) + - 0.00083*sin(w2rad - w3rad) + - 0.00053*sin(psi - w2rad); - double Sigma1rad = CAACoordinateTransformation::DegreesToRadians(Sigma1); - - double Sigma2 = 1.06476*sin(2*(l2rad - l3rad)) + - 0.04256*sin(l1rad - 2*l2rad + pi3) + - 0.03581*sin(l2rad - pi3) + - 0.02395*sin(l1rad - 2*l2rad + pi4) + - 0.01984*sin(l2rad - pi4) + - -0.01778*sin(philambda) + - 0.01654*sin(l2rad - pi2) + - 0.01334*sin(l2rad - 2*l3rad + pi2) + - 0.01294*sin(pi3 - pi4) + - -0.01142*sin(l2rad - l3rad) + - -0.01057*sin(G) + - -0.00775*sin(2*(psi - PI)) + - 0.00524*sin(2*(l1rad - l2rad)) + - -0.00460*sin(l1rad - l3rad) + - 0.00316*sin(psi - 2*G + w3rad - 2*PI) + - -0.00203*sin(pi1 + pi3 - 2*PI - 2*G) + - 0.00146*sin(psi - w3rad) + - -0.00145*sin(2*G) + - 0.00125*sin(psi - w4rad) + - -0.00115*sin(l1rad - 2*l3rad + pi3) + - -0.00094*sin(2*(l2rad - w2rad)) + - 0.00086*sin(2*(l1rad - 2*l2rad + w2rad)) + - -0.00086*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + - -0.00078*sin(l2rad - l4rad) + - -0.00064*sin(3*l3rad - 7*l4rad + 4*pi4) + - 0.00064*sin(pi1 - pi4) + - -0.00063*sin(l1rad - 2*l3rad + pi4) + - 0.00058*sin(w3rad - w4rad) + - 0.00056*sin(2*(psi - PI - G)) + - 0.00056*sin(2*(l2rad - l4rad)) + - 0.00055*sin(2*(l1rad - l3rad)) + - 0.00052*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + - -0.00043*sin(l1rad - pi3) + - 0.00041*sin(5*(l2rad - l3rad)) + - 0.00041*sin(pi4 - PI) + - 0.00032*sin(w2rad - w3rad) + - 0.00032*sin(2*(l3rad - G - PI)); - double Sigma2rad = CAACoordinateTransformation::DegreesToRadians(Sigma2); - - double Sigma3 = 0.16490*sin(l3rad - pi3) + - 0.09081*sin(l3rad - pi4) + - -0.06907*sin(l2rad - l3rad) + - 0.03784*sin(pi3 - pi4) + - 0.01846*sin(2*(l3rad - l4rad)) + - -0.01340*sin(G) + - -0.01014*sin(2*(psi - PI)) + - 0.00704*sin(l2rad - 2*l3rad + pi3) + - -0.00620*sin(l2rad - 2*l3rad + pi2) + - -0.00541*sin(l3rad - l4rad) + - 0.00381*sin(l2rad - 2*l3rad + pi4) + - 0.00235*sin(psi - w3rad) + - 0.00198*sin(psi - w4rad) + - 0.00176*sin(philambda) + - 0.00130*sin(3*(l3rad - l4rad)) + - 0.00125*sin(l1rad - l3rad) + - -0.00119*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + - 0.00109*sin(l1rad - l2rad) + - -0.00100*sin(3*l3rad - 7*l4rad + 4*pi4) + - 0.00091*sin(w3rad - w4rad) + - 0.00080*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + - -0.00075*sin(2*l2rad - 3*l3rad + pi3) + - 0.00072*sin(pi1 + pi3 - 2*PI - 2*G) + - 0.00069*sin(pi4 - PI) + - -0.00058*sin(2*l3rad - 3*l4rad + pi4) + - -0.00057*sin(l3rad - 2*l4rad + pi4) + - 0.00056*sin(l3rad + pi3 - 2*PI - 2*G) + - -0.00052*sin(l2rad - 2*l3rad + pi1) + - -0.00050*sin(pi2 - pi3) + - 0.00048*sin(l3rad - 2*l4rad + pi3) + - -0.00045*sin(2*l2rad - 3*l3rad + pi4) + - -0.00041*sin(pi2 - pi4) + - -0.00038*sin(2*G) + - -0.00037*sin(pi3 - pi4 + w3rad - w4rad) + - -0.00032*sin(3*l3rad - 7*l4rad + 2*pi3 + 2*pi4) + - 0.00030*sin(4*(l3rad - l4rad)) + - 0.00029*sin(l3rad + pi4 - 2*PI - 2*G) + - -0.00028*sin(w3rad + psi - 2*PI - 2*G) + - 0.00026*sin(l3rad - PI - G) + - 0.00024*sin(l2rad - 3*l3rad + 2*l4rad) + - 0.00021*sin(l3rad - PI - G) + - -0.00021*sin(l3rad - pi2) + - 0.00017*sin(2*(l3rad - pi3)); - double Sigma3rad = CAACoordinateTransformation::DegreesToRadians(Sigma3); - - double Sigma4 = 0.84287*sin(l4rad - pi4) + - 0.03431*sin(pi4 - pi3) + - -0.03305*sin(2*(psi - PI)) + - -0.03211*sin(G) + - -0.01862*sin(l4rad - pi3) + - 0.01186*sin(psi - w4rad) + - 0.00623*sin(l4rad + pi4 - 2*G - 2*PI) + - 0.00387*sin(2*(l4rad - pi4)) + - -0.00284*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + - -0.00234*sin(2*(psi - pi4)) + - -0.00223*sin(l3rad - l4rad) + - -0.00208*sin(l4rad - PI) + - 0.00178*sin(psi + w4rad - 2*pi4) + - 0.00134*sin(pi4 - PI) + - 0.00125*sin(2*(l4rad - G - PI)) + - -0.00117*sin(2*G) + - -0.00112*sin(2*(l3rad - l4rad)) + - 0.00107*sin(3*l3rad - 7*l4rad + 4*pi4) + - 0.00102*sin(l4rad - G - PI) + - 0.00096*sin(2*l4rad - psi - w4rad) + - 0.00087*sin(2*(psi - w4rad)) + - -0.00085*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + - 0.00085*sin(l3rad - 2*l4rad + pi4) + - -0.00081*sin(2*(l4rad - psi)) + - 0.00071*sin(l4rad + pi4 - 2*PI - 3*G) + - 0.00061*sin(l1rad - l4rad) + - -0.00056*sin(psi - w3rad) + - -0.00054*sin(l3rad - 2*l4rad + pi3) + - 0.00051*sin(l2rad - l4rad) + - 0.00042*sin(2*(psi - G - PI)) + - 0.00039*sin(2*(pi4 - w4rad)) + - 0.00036*sin(psi + PI - pi4 - w4rad) + - 0.00035*sin(2*Gdash - G + CAACoordinateTransformation::DegreesToRadians(188.37)) + - -0.00035*sin(l4rad - pi4 + 2*PI - 2*psi) + - -0.00032*sin(l4rad + pi4 - 2*PI - G) + - 0.00030*sin(2*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(149.15)) + - 0.00029*sin(3*l3rad - 7*l4rad + 2*pi3 + 2*pi4) + - 0.00028*sin(l4rad - pi4 + 2*psi - 2*PI) + - -0.00028*sin(2*(l4rad - w4rad)) + - -0.00027*sin(pi3 - pi4 + w3rad - w4rad) + - -0.00026*sin(5*Gdash - 3*G + CAACoordinateTransformation::DegreesToRadians(188.37)) + - 0.00025*sin(w4rad - w3rad) + - -0.00025*sin(l2rad - 3*l3rad + 2*l4rad) + - -0.00023*sin(3*(l3rad - l4rad)) + - 0.00021*sin(2*l4rad - 2*PI - 3*G) + - -0.00021*sin(2*l3rad - 3*l4rad + pi4) + - 0.00019*sin(l4rad - pi4 - G) + - -0.00019*sin(2*l4rad - pi3 - pi4) + - -0.00018*sin(l4rad - pi4 + G) + - -0.00016*sin(l4rad + pi3 - 2*PI - 2*G); + const double Sigma1 = 0.47259*sin(2*(l1rad - l2rad)) + + -0.03478*sin(pi3 - pi4) + + 0.01081*sin(l2rad - 2*l3rad + pi3) + + 0.00738*sin(philambda) + + 0.00713*sin(l2rad - 2*l3rad + pi2) + + -0.00674*sin(pi1 + pi3 - 2*PI - 2*G) + + 0.00666*sin(l2rad - 2*l3rad + pi4) + + 0.00445*sin(l1rad - pi3) + + -0.00354*sin(l1rad - l2rad) + + -0.00317*sin(2*psi - 2*PI) + + 0.00265*sin(l1rad - pi4) + + -0.00186*sin(G) + + 0.00162*sin(pi2 - pi3) + + 0.00158*sin(4*(l1rad - l2rad)) + + -0.00155*sin(l1rad - l3rad) + + -0.00138*sin(psi + w3rad - 2*PI - 2*G) + + -0.00115*sin(2*(l1rad - 2*l2rad + w2rad)) + + 0.00089*sin(pi2 - pi4) + + 0.00085*sin(l1rad + pi3 - 2*PI - 2*G) + + 0.00083*sin(w2rad - w3rad) + + 0.00053*sin(psi - w2rad); + const double Sigma1rad = CAACoordinateTransformation::DegreesToRadians(Sigma1); + + const double Sigma2 = 1.06476*sin(2*(l2rad - l3rad)) + + 0.04256*sin(l1rad - 2*l2rad + pi3) + + 0.03581*sin(l2rad - pi3) + + 0.02395*sin(l1rad - 2*l2rad + pi4) + + 0.01984*sin(l2rad - pi4) + + -0.01778*sin(philambda) + + 0.01654*sin(l2rad - pi2) + + 0.01334*sin(l2rad - 2*l3rad + pi2) + + 0.01294*sin(pi3 - pi4) + + -0.01142*sin(l2rad - l3rad) + + -0.01057*sin(G) + + -0.00775*sin(2*(psi - PI)) + + 0.00524*sin(2*(l1rad - l2rad)) + + -0.00460*sin(l1rad - l3rad) + + 0.00316*sin(psi - 2*G + w3rad - 2*PI) + + -0.00203*sin(pi1 + pi3 - 2*PI - 2*G) + + 0.00146*sin(psi - w3rad) + + -0.00145*sin(2*G) + + 0.00125*sin(psi - w4rad) + + -0.00115*sin(l1rad - 2*l3rad + pi3) + + -0.00094*sin(2*(l2rad - w2rad)) + + 0.00086*sin(2*(l1rad - 2*l2rad + w2rad)) + + -0.00086*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + + -0.00078*sin(l2rad - l4rad) + + -0.00064*sin(3*l3rad - 7*l4rad + 4*pi4) + + 0.00064*sin(pi1 - pi4) + + -0.00063*sin(l1rad - 2*l3rad + pi4) + + 0.00058*sin(w3rad - w4rad) + + 0.00056*sin(2*(psi - PI - G)) + + 0.00056*sin(2*(l2rad - l4rad)) + + 0.00055*sin(2*(l1rad - l3rad)) + + 0.00052*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + + -0.00043*sin(l1rad - pi3) + + 0.00041*sin(5*(l2rad - l3rad)) + + 0.00041*sin(pi4 - PI) + + 0.00032*sin(w2rad - w3rad) + + 0.00032*sin(2*(l3rad - G - PI)); + const double Sigma2rad = CAACoordinateTransformation::DegreesToRadians(Sigma2); + + const double Sigma3 = 0.16490*sin(l3rad - pi3) + + 0.09081*sin(l3rad - pi4) + + -0.06907*sin(l2rad - l3rad) + + 0.03784*sin(pi3 - pi4) + + 0.01846*sin(2*(l3rad - l4rad)) + + -0.01340*sin(G) + + -0.01014*sin(2*(psi - PI)) + + 0.00704*sin(l2rad - 2*l3rad + pi3) + + -0.00620*sin(l2rad - 2*l3rad + pi2) + + -0.00541*sin(l3rad - l4rad) + + 0.00381*sin(l2rad - 2*l3rad + pi4) + + 0.00235*sin(psi - w3rad) + + 0.00198*sin(psi - w4rad) + + 0.00176*sin(philambda) + + 0.00130*sin(3*(l3rad - l4rad)) + + 0.00125*sin(l1rad - l3rad) + + -0.00119*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + + 0.00109*sin(l1rad - l2rad) + + -0.00100*sin(3*l3rad - 7*l4rad + 4*pi4) + + 0.00091*sin(w3rad - w4rad) + + 0.00080*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + + -0.00075*sin(2*l2rad - 3*l3rad + pi3) + + 0.00072*sin(pi1 + pi3 - 2*PI - 2*G) + + 0.00069*sin(pi4 - PI) + + -0.00058*sin(2*l3rad - 3*l4rad + pi4) + + -0.00057*sin(l3rad - 2*l4rad + pi4) + + 0.00056*sin(l3rad + pi3 - 2*PI - 2*G) + + -0.00052*sin(l2rad - 2*l3rad + pi1) + + -0.00050*sin(pi2 - pi3) + + 0.00048*sin(l3rad - 2*l4rad + pi3) + + -0.00045*sin(2*l2rad - 3*l3rad + pi4) + + -0.00041*sin(pi2 - pi4) + + -0.00038*sin(2*G) + + -0.00037*sin(pi3 - pi4 + w3rad - w4rad) + + -0.00032*sin(3*l3rad - 7*l4rad + 2*pi3 + 2*pi4) + + 0.00030*sin(4*(l3rad - l4rad)) + + 0.00029*sin(l3rad + pi4 - 2*PI - 2*G) + + -0.00028*sin(w3rad + psi - 2*PI - 2*G) + + 0.00026*sin(l3rad - PI - G) + + 0.00024*sin(l2rad - 3*l3rad + 2*l4rad) + + 0.00021*sin(l3rad - PI - G) + + -0.00021*sin(l3rad - pi2) + + 0.00017*sin(2*(l3rad - pi3)); + const double Sigma3rad = CAACoordinateTransformation::DegreesToRadians(Sigma3); + + const double Sigma4 = 0.84287*sin(l4rad - pi4) + + 0.03431*sin(pi4 - pi3) + + -0.03305*sin(2*(psi - PI)) + + -0.03211*sin(G) + + -0.01862*sin(l4rad - pi3) + + 0.01186*sin(psi - w4rad) + + 0.00623*sin(l4rad + pi4 - 2*G - 2*PI) + + 0.00387*sin(2*(l4rad - pi4)) + + -0.00284*sin(5*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(52.225)) + + -0.00234*sin(2*(psi - pi4)) + + -0.00223*sin(l3rad - l4rad) + + -0.00208*sin(l4rad - PI) + + 0.00178*sin(psi + w4rad - 2*pi4) + + 0.00134*sin(pi4 - PI) + + 0.00125*sin(2*(l4rad - G - PI)) + + -0.00117*sin(2*G) + + -0.00112*sin(2*(l3rad - l4rad)) + + 0.00107*sin(3*l3rad - 7*l4rad + 4*pi4) + + 0.00102*sin(l4rad - G - PI) + + 0.00096*sin(2*l4rad - psi - w4rad) + + 0.00087*sin(2*(psi - w4rad)) + + -0.00085*sin(3*l3rad - 7*l4rad + pi3 + 3*pi4) + + 0.00085*sin(l3rad - 2*l4rad + pi4) + + -0.00081*sin(2*(l4rad - psi)) + + 0.00071*sin(l4rad + pi4 - 2*PI - 3*G) + + 0.00061*sin(l1rad - l4rad) + + -0.00056*sin(psi - w3rad) + + -0.00054*sin(l3rad - 2*l4rad + pi3) + + 0.00051*sin(l2rad - l4rad) + + 0.00042*sin(2*(psi - G - PI)) + + 0.00039*sin(2*(pi4 - w4rad)) + + 0.00036*sin(psi + PI - pi4 - w4rad) + + 0.00035*sin(2*Gdash - G + CAACoordinateTransformation::DegreesToRadians(188.37)) + + -0.00035*sin(l4rad - pi4 + 2*PI - 2*psi) + + -0.00032*sin(l4rad + pi4 - 2*PI - G) + + 0.00030*sin(2*Gdash - 2*G + CAACoordinateTransformation::DegreesToRadians(149.15)) + + 0.00029*sin(3*l3rad - 7*l4rad + 2*pi3 + 2*pi4) + + 0.00028*sin(l4rad - pi4 + 2*psi - 2*PI) + + -0.00028*sin(2*(l4rad - w4rad)) + + -0.00027*sin(pi3 - pi4 + w3rad - w4rad) + + -0.00026*sin(5*Gdash - 3*G + CAACoordinateTransformation::DegreesToRadians(188.37)) + + 0.00025*sin(w4rad - w3rad) + + -0.00025*sin(l2rad - 3*l3rad + 2*l4rad) + + -0.00023*sin(3*(l3rad - l4rad)) + + 0.00021*sin(2*l4rad - 2*PI - 3*G) + + -0.00021*sin(2*l3rad - 3*l4rad + pi4) + + 0.00019*sin(l4rad - pi4 - G) + + -0.00019*sin(2*l4rad - pi3 - pi4) + + -0.00018*sin(l4rad - pi4 + G) + + -0.00016*sin(l4rad + pi3 - 2*PI - 2*G); //There is no need to calculate a Sigma4rad as it is not used in any subsequent trignometric functions details.Satellite1.MeanLongitude = CAACoordinateTransformation::MapTo0To360Range(l1); @@ -309,46 +307,46 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl double L4 = CAACoordinateTransformation::DegreesToRadians(details.Satellite4.TrueLongitude); //Calculate the periodic terms in the latitudes of the satellites - double B1 = atan(0.0006393*sin(L1 - w1rad) + - 0.0001825*sin(L1 - w2rad) + - 0.0000329*sin(L1 - w3rad) + + const double B1 = atan(0.0006393*sin(L1 - w1rad) + + 0.0001825*sin(L1 - w2rad) + + 0.0000329*sin(L1 - w3rad) + -0.0000311*sin(L1 - psi) + - 0.0000093*sin(L1 - w4rad) + - 0.0000075*sin(3*L1 - 4*l2rad - 1.9927*Sigma1rad + w2rad) + - 0.0000046*sin(L1 + psi - 2*PI - 2*G)); + 0.0000093*sin(L1 - w4rad) + + 0.0000075*sin(3*L1 - 4*l2rad - 1.9927*Sigma1rad + w2rad) + + 0.0000046*sin(L1 + psi - 2*PI - 2*G)); details.Satellite1.EquatorialLatitude = CAACoordinateTransformation::RadiansToDegrees(B1); - double B2 = atan(0.0081004*sin(L2 - w2rad) + - 0.0004512*sin(L2 - w3rad) + + const double B2 = atan(0.0081004*sin(L2 - w2rad) + + 0.0004512*sin(L2 - w3rad) + -0.0003284*sin(L2 - psi) + - 0.0001160*sin(L2 - w4rad) + - 0.0000272*sin(l1rad - 2*l3rad + 1.0146*Sigma2rad + w2rad) + + 0.0001160*sin(L2 - w4rad) + + 0.0000272*sin(l1rad - 2*l3rad + 1.0146*Sigma2rad + w2rad) + -0.0000144*sin(L2 - w1rad) + - 0.0000143*sin(L2 + psi - 2*PI - 2*G) + - 0.0000035*sin(L2 - psi + G) + + 0.0000143*sin(L2 + psi - 2*PI - 2*G) + + 0.0000035*sin(L2 - psi + G) + -0.0000028*sin(l1rad - 2*l3rad + 1.0146*Sigma2rad + w3rad)); details.Satellite2.EquatorialLatitude = CAACoordinateTransformation::RadiansToDegrees(B2); - - double B3 = atan(0.0032402*sin(L3 - w3rad) + + + const double B3 = atan(0.0032402*sin(L3 - w3rad) + -0.0016911*sin(L3 - psi) + - 0.0006847*sin(L3 - w4rad) + + 0.0006847*sin(L3 - w4rad) + -0.0002797*sin(L3 - w2rad) + - 0.0000321*sin(L3 + psi - 2*PI - 2*G) + - 0.0000051*sin(L3 - psi + G) + + 0.0000321*sin(L3 + psi - 2*PI - 2*G) + + 0.0000051*sin(L3 - psi + G) + -0.0000045*sin(L3 - psi - G) + -0.0000045*sin(L3 + psi - 2*PI) + - 0.0000037*sin(L3 + psi - 2*PI - 3*G) + - 0.0000030*sin(2*l2rad - 3*L3 + 4.03*Sigma3rad + w2rad) + + 0.0000037*sin(L3 + psi - 2*PI - 3*G) + + 0.0000030*sin(2*l2rad - 3*L3 + 4.03*Sigma3rad + w2rad) + -0.0000021*sin(2*l2rad - 3*L3 + 4.03*Sigma3rad + w3rad)); details.Satellite3.EquatorialLatitude = CAACoordinateTransformation::RadiansToDegrees(B3); - double B4 = atan(-0.0076579*sin(L4 - psi) + - 0.0044134*sin(L4 - w4rad) + + const double B4 = atan(-0.0076579*sin(L4 - psi) + + 0.0044134*sin(L4 - w4rad) + -0.0005112*sin(L4 - w3rad) + - 0.0000773*sin(L4 + psi - 2*PI - 2*G) + - 0.0000104*sin(L4 - psi + G) + + 0.0000773*sin(L4 + psi - 2*PI - 2*G) + + 0.0000104*sin(L4 - psi + G) + -0.0000102*sin(L4 - psi - G) + - 0.0000088*sin(L4 + psi - 2*PI - 3*G) + + 0.0000088*sin(L4 + psi - 2*PI - 3*G) + -0.0000038*sin(L4 + psi - 2*PI - G)); details.Satellite4.EquatorialLatitude = CAACoordinateTransformation::RadiansToDegrees(B4); @@ -400,12 +398,12 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl -0.0000089*cos(l4rad - PI - G) + -0.0000062*cos(l4rad + pi4 - 2*PI - 3*G) + 0.0000048*cos(2*(l4rad - w4rad)))); - + //Calculate T0 - double T0 = (JD - 2433282.423)/36525; + const double T0 = (JD - 2433282.423)/36525; //Calculate the precession in longitude from Epoch B1950 to the date - double P = CAACoordinateTransformation::DegreesToRadians(1.3966626*T0 + 0.0003088*T0*T0); + const double P = CAACoordinateTransformation::DegreesToRadians(1.3966626*T0 + 0.0003088*T0*T0); //Add it to L1 - L4 and psi L1 += P; @@ -419,36 +417,36 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl psi += P; //Calculate the inclination of Jupiter's axis of rotation on the orbital plane - double T = (JD - 2415020.5)/36525; - double I = 3.120262 + 0.0006*T; - double Irad = CAACoordinateTransformation::DegreesToRadians(I); - - double X1 = details.Satellite1.r*cos(L1 - psi)*cos(B1); - double X2 = details.Satellite2.r*cos(L2 - psi)*cos(B2); - double X3 = details.Satellite3.r*cos(L3 - psi)*cos(B3); - double X4 = details.Satellite4.r*cos(L4 - psi)*cos(B4); - double X5 = 0; - - double Y1 = details.Satellite1.r*sin(L1 - psi)*cos(B1); - double Y2 = details.Satellite2.r*sin(L2 - psi)*cos(B2); - double Y3 = details.Satellite3.r*sin(L3 - psi)*cos(B3); - double Y4 = details.Satellite4.r*sin(L4 - psi)*cos(B4); - double Y5 = 0; - - double Z1 = details.Satellite1.r*sin(B1); - double Z2 = details.Satellite2.r*sin(B2); - double Z3 = details.Satellite3.r*sin(B3); - double Z4 = details.Satellite4.r*sin(B4); - double Z5 = 1; + const double T = (JD - 2415020.5)/36525; + const double I = 3.120262 + 0.0006*T; + const double Irad = CAACoordinateTransformation::DegreesToRadians(I); + + const double X1 = details.Satellite1.r*cos(L1 - psi)*cos(B1); + const double X2 = details.Satellite2.r*cos(L2 - psi)*cos(B2); + const double X3 = details.Satellite3.r*cos(L3 - psi)*cos(B3); + const double X4 = details.Satellite4.r*cos(L4 - psi)*cos(B4); + constexpr double X5 = 0; + + const double Y1 = details.Satellite1.r*sin(L1 - psi)*cos(B1); + const double Y2 = details.Satellite2.r*sin(L2 - psi)*cos(B2); + const double Y3 = details.Satellite3.r*sin(L3 - psi)*cos(B3); + const double Y4 = details.Satellite4.r*sin(L4 - psi)*cos(B4); + constexpr double Y5 = 0; + + const double Z1 = details.Satellite1.r*sin(B1); + const double Z2 = details.Satellite2.r*sin(B2); + const double Z3 = details.Satellite3.r*sin(B3); + const double Z4 = details.Satellite4.r*sin(B4); + constexpr double Z5 = 1; //Now do the rotations, first for the ficticious 5th satellite, so that we can calculate D - double omega = CAACoordinateTransformation::DegreesToRadians(CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode(JD)); - double i = CAACoordinateTransformation::DegreesToRadians(CAAElementsPlanetaryOrbit::JupiterInclination(JD)); - double A6; - double B6; - double C6; + const double omega = CAACoordinateTransformation::DegreesToRadians(CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode(JD)); + const double i = CAACoordinateTransformation::DegreesToRadians(CAAElementsPlanetaryOrbit::JupiterInclination(JD)); + double A6 = 0; + double B6 = 0; + double C6 = 0; Rotations(X5, Y5, Z5, Irad, psi, i, omega, lambda0, beta0, A6, B6, C6); - double D = atan2(A6, C6); + const double D = atan2(A6, C6); //Now calculate the values for satellite 1 Rotations(X1, Y1, Z1, Irad, psi, i, omega, lambda0, beta0, A6, B6, C6); @@ -511,14 +509,14 @@ CAAGalileanMoonsDetails CAAGalileanMoons::CalculateHelper(double JD, double sunl return details; } -CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecision) +CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecision) noexcept { //Calculate the position of the Sun - double sunlong = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); - double sunlongrad = CAACoordinateTransformation::DegreesToRadians(sunlong); - double beta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); - double betarad = CAACoordinateTransformation::DegreesToRadians(beta); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double sunlong = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); + const double sunlongrad = CAACoordinateTransformation::DegreesToRadians(sunlong); + const double beta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); + const double betarad = CAACoordinateTransformation::DegreesToRadians(beta); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); //Calculate the the light travel time from Jupiter to the Earth double DELTA = 5; @@ -526,17 +524,17 @@ CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecisi double EarthLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); double JD1 = JD - EarthLightTravelTime; bool bIterate = true; - double x; - double y; - double z; + double x = 0; + double y = 0; + double z = 0; while (bIterate) { //Calculate the position of Jupiter - double l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAAJupiter::RadiusVector(JD1, bHighPrecision); + const double l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAAJupiter::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad) + R*cos(sunlongrad); y = r*cos(brad)*sin(lrad) + R*sin(sunlongrad); @@ -545,7 +543,7 @@ CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecisi EarthLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2E-6); //2E-6 corresponds to 0.17 of a second + bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2e-6); //2e-6 corresponds to 0.17 of a second if (bIterate) { JD1 = JD - EarthLightTravelTime; @@ -562,16 +560,16 @@ CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecisi //Calculate the the light travel time from Jupiter to the Sun JD1 = JD - EarthLightTravelTime; - double l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAAJupiter::RadiusVector(JD1, bHighPrecision); + const double l = CAAJupiter::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAAJupiter::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAAJupiter::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad); y = r*cos(brad)*sin(lrad); z = r*sin(brad); DELTA = sqrt(x*x + y*y + z*z); - double SunLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); + const double SunLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Calculate the details as seen from the Sun CAAGalileanMoonsDetails details2 = CalculateHelper(JD + SunLightTravelTime - EarthLightTravelTime, sunlongrad, betarad, 0, bHighPrecision); @@ -593,44 +591,44 @@ CAAGalileanMoonsDetails CAAGalileanMoons::Calculate(double JD, bool bHighPrecisi return details1; } -void CAAGalileanMoons::Rotations(double X, double Y, double Z, double I, double psi, double i, double omega, double lambda0, double beta0, double& A6, double& B6, double& C6) +void CAAGalileanMoons::Rotations(double X, double Y, double Z, double I, double psi, double i, double omega, double lambda0, double beta0, double& A6, double& B6, double& C6) noexcept { - double phi = psi - omega; + const double phi = psi - omega; //Rotation towards Jupiter's orbital plane - double A1 = X; - double B1 = Y*cos(I) - Z*sin(I); - double C1 = Y*sin(I) + Z*cos(I); - + const double A1 = X; + const double B1 = Y*cos(I) - Z*sin(I); + const double C1 = Y*sin(I) + Z*cos(I); + //Rotation towards the ascending node of the orbit of jupiter - double A2 = A1*cos(phi) - B1*sin(phi); - double B2 = A1*sin(phi) + B1*cos(phi); - double C2 = C1; + const double A2 = A1*cos(phi) - B1*sin(phi); + const double B2 = A1*sin(phi) + B1*cos(phi); + const double C2 = C1; //Rotation towards the plane of the ecliptic - double A3 = A2; - double B3 = B2*cos(i) - C2*sin(i); - double C3 = B2*sin(i) + C2*cos(i); + const double A3 = A2; + const double B3 = B2*cos(i) - C2*sin(i); + const double C3 = B2*sin(i) + C2*cos(i); //Rotation towards the vernal equinox - double A4 = A3*cos(omega) - B3*sin(omega); - double B4 = A3*sin(omega) + B3*cos(omega); - double C4 = C3; - - double A5 = A4*sin(lambda0) - B4*cos(lambda0); - double B5 = A4*cos(lambda0) + B4*sin(lambda0); - double C5 = C4; - + const double A4 = A3*cos(omega) - B3*sin(omega); + const double B4 = A3*sin(omega) + B3*cos(omega); + const double C4 = C3; + + const double A5 = A4*sin(lambda0) - B4*cos(lambda0); + const double B5 = A4*cos(lambda0) + B4*sin(lambda0); + const double C5 = C4; + A6 = A5; B6 = C5*sin(beta0) + B5*cos(beta0); C6 = C5*cos(beta0) - B5*sin(beta0); } -void CAAGalileanMoons::FillInPhenomenaDetails(CAAGalileanMoonDetail& detail) +void CAAGalileanMoons::FillInPhenomenaDetails(CAAGalileanMoonDetail& detail) noexcept { - double Y1 = 1.071374 * detail.ApparentRectangularCoordinates.Y; + const double Y1 = 1.071374 * detail.ApparentRectangularCoordinates.Y; - double r = Y1*Y1 + detail.ApparentRectangularCoordinates.X*detail.ApparentRectangularCoordinates.X; + const double r = Y1*Y1 + detail.ApparentRectangularCoordinates.X*detail.ApparentRectangularCoordinates.X; if (r < 1) { diff --git a/Vendor/AA+/1.6.3/AAGlobe.cpp b/Sources/AAPlus/AAGlobe.cpp old mode 100755 new mode 100644 similarity index 55% rename from Vendor/AA+/1.6.3/AAGlobe.cpp rename to Sources/AAPlus/AAGlobe.cpp index a7c6b0c..086f86f --- a/Vendor/AA+/1.6.3/AAGlobe.cpp +++ b/Sources/AAPlus/AAGlobe.cpp @@ -1,10 +1,13 @@ /* -Module : AAGLOBE.CPP +Module : AAGlobe.cpp Purpose: Implementation for the algorithms for the Earth's Globe Created: PJN / 29-12-2003 -History: None +History: PJN / 20-03-2016 1. Fixed a transcription error in the CAAGlobe::RhoSinThetaPrime and + CAAGlobe::RhoCosThetaPrime functions. The value 6378149 was being used instead of + the correct value 6378140. Thanks to "Pavel" for reporting this bug. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,42 +33,43 @@ using namespace std; /////////////////////////// Implementation //////////////////////////////////// -double CAAGlobe::RhoSinThetaPrime(double GeographicalLatitude, double Height) +double CAAGlobe::RhoSinThetaPrime(double GeographicalLatitude, double Height) noexcept { + //Convert from degress to radians GeographicalLatitude = CAACoordinateTransformation::DegreesToRadians(GeographicalLatitude); - double U = atan(0.99664719 * tan(GeographicalLatitude)); - return 0.99664719 * sin(U) + (Height/6378149 * sin(GeographicalLatitude)); + const double U = atan(0.99664719 * tan(GeographicalLatitude)); + return 0.99664719 * sin(U) + (Height/6378140 * sin(GeographicalLatitude)); } -double CAAGlobe::RhoCosThetaPrime(double GeographicalLatitude, double Height) +double CAAGlobe::RhoCosThetaPrime(double GeographicalLatitude, double Height) noexcept { //Convert from degress to radians GeographicalLatitude = CAACoordinateTransformation::DegreesToRadians(GeographicalLatitude); - double U = atan(0.99664719 * tan(GeographicalLatitude)); - return cos(U) + (Height/6378149 * cos(GeographicalLatitude)); + const double U = atan(0.99664719 * tan(GeographicalLatitude)); + return cos(U) + (Height/6378140 * cos(GeographicalLatitude)); } -double CAAGlobe::RadiusOfParallelOfLatitude(double GeographicalLatitude) +double CAAGlobe::RadiusOfParallelOfLatitude(double GeographicalLatitude) noexcept { //Convert from degress to radians GeographicalLatitude = CAACoordinateTransformation::DegreesToRadians(GeographicalLatitude); - double sinGeo = sin(GeographicalLatitude); + const double sinGeo = sin(GeographicalLatitude); return (6378.14 * cos(GeographicalLatitude)) / (sqrt(1 - 0.0066943847614084*sinGeo*sinGeo)); } -double CAAGlobe::RadiusOfCurvature(double GeographicalLatitude) +double CAAGlobe::RadiusOfCurvature(double GeographicalLatitude) noexcept { //Convert from degress to radians GeographicalLatitude = CAACoordinateTransformation::DegreesToRadians(GeographicalLatitude); - double sinGeo = sin(GeographicalLatitude); + const double sinGeo = sin(GeographicalLatitude); return (6378.14 * (1 - 0.0066943847614084)) / pow((1 - 0.0066943847614084 * sinGeo * sinGeo), 1.5); } -double CAAGlobe::DistanceBetweenPoints(double GeographicalLatitude1, double GeographicalLongitude1, double GeographicalLatitude2, double GeographicalLongitude2) +double CAAGlobe::DistanceBetweenPoints(double GeographicalLatitude1, double GeographicalLongitude1, double GeographicalLatitude2, double GeographicalLongitude2) noexcept { //Convert from degress to radians GeographicalLatitude1 = CAACoordinateTransformation::DegreesToRadians(GeographicalLatitude1); @@ -73,23 +77,23 @@ double CAAGlobe::DistanceBetweenPoints(double GeographicalLatitude1, double Geog GeographicalLongitude1 = CAACoordinateTransformation::DegreesToRadians(GeographicalLongitude1); GeographicalLongitude2 = CAACoordinateTransformation::DegreesToRadians(GeographicalLongitude2); - double F = (GeographicalLatitude1 + GeographicalLatitude2) / 2; - double G = (GeographicalLatitude1 - GeographicalLatitude2) / 2; - double lambda = (GeographicalLongitude1 - GeographicalLongitude2) / 2; - double sinG = sin(G); - double cosG = cos(G); - double cosF = cos(F); - double sinF = sin(F); - double sinLambda = sin(lambda); - double cosLambda = cos(lambda); - double S = (sinG*sinG*cosLambda*cosLambda) + (cosF*cosF*sinLambda*sinLambda); - double C = (cosG*cosG*cosLambda*cosLambda) + (sinF*sinF*sinLambda*sinLambda); - double w = atan(sqrt(S/C)); - double R = sqrt(S*C)/w; - double D = 2*w*6378.14; - double Hprime = (3*R - 1) / (2*C); - double Hprime2 = (3*R + 1) / (2*S); - double f = 0.0033528131778969144060323814696721; + const double F = (GeographicalLatitude1 + GeographicalLatitude2) / 2; + const double G = (GeographicalLatitude1 - GeographicalLatitude2) / 2; + const double lambda = (GeographicalLongitude1 - GeographicalLongitude2) / 2; + const double sinG = sin(G); + const double cosG = cos(G); + const double cosF = cos(F); + const double sinF = sin(F); + const double sinLambda = sin(lambda); + const double cosLambda = cos(lambda); + const double S = (sinG*sinG*cosLambda*cosLambda) + (cosF*cosF*sinLambda*sinLambda); + const double C = (cosG*cosG*cosLambda*cosLambda) + (sinF*sinF*sinLambda*sinLambda); + const double w = atan(sqrt(S/C)); + const double R = sqrt(S*C)/w; + const double D = 2*w*6378.14; + const double Hprime = (3*R - 1) / (2*C); + const double Hprime2 = (3*R + 1) / (2*S); + constexpr double f = 0.0033528131778969144060323814696721; return D * (1 + (f*Hprime*sinF*sinF*cosG*cosG) - (f*Hprime2*cosF*cosF*sinG*sinG)); } diff --git a/Vendor/AA+/1.6.3/AAIlluminatedFraction.cpp b/Sources/AAPlus/AAIlluminatedFraction.cpp old mode 100755 new mode 100644 similarity index 79% rename from Vendor/AA+/1.6.3/AAIlluminatedFraction.cpp rename to Sources/AAPlus/AAIlluminatedFraction.cpp index dfe6638..6abd09a --- a/Vendor/AA+/1.6.3/AAIlluminatedFraction.cpp +++ b/Sources/AAPlus/AAIlluminatedFraction.cpp @@ -1,13 +1,14 @@ /* -Module : AAILLUMINATEDFRACTION.CPP +Module : AAIlluminatedFraction.cpp Purpose: Implementation for the algorithms for a planet's Phase Angle, Illuminated Fraction and Magnitude Created: PJN / 29-12-2003 History: PJN / 21-01-2005 1. Fixed a small but important error in the function PhaseAngle(r, R, Delta). The code was producing incorrect results and raises acos DOMAIN errors and floating point exceptions when calculating phase angles for the inner planets. Thanks to MICHAEL R. MEYER for reporting this problem. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -33,13 +34,13 @@ using namespace std; //////////////////// Implementation /////////////////////////////////////////// -double CAAIlluminatedFraction::PhaseAngle(double r, double R, double Delta) +double CAAIlluminatedFraction::PhaseAngle(double r, double R, double Delta) noexcept { //Return the result return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(acos((r*r + Delta*Delta - R*R) / (2*r*Delta)))); } -double CAAIlluminatedFraction::PhaseAngle(double R, double R0, double B, double L, double L0, double Delta) +double CAAIlluminatedFraction::PhaseAngle(double R, double R0, double B, double L, double L0, double Delta) noexcept { //Convert from degrees to radians B = CAACoordinateTransformation::DegreesToRadians(B); @@ -50,18 +51,18 @@ double CAAIlluminatedFraction::PhaseAngle(double R, double R0, double B, double return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(acos((R - R0*cos(B)*cos(L - L0))/Delta))); } -double CAAIlluminatedFraction::PhaseAngleRectangular(double x, double y, double z, double B, double L, double Delta) +double CAAIlluminatedFraction::PhaseAngleRectangular(double x, double y, double z, double B, double L, double Delta) noexcept { //Convert from degrees to radians B = CAACoordinateTransformation::DegreesToRadians(B); L = CAACoordinateTransformation::DegreesToRadians(L); - double cosB = cos(B); + const double cosB = cos(B); //Return the result return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(acos( (x*cosB*cos(L) + y*cosB*sin(L) + z*sin(B)) / Delta) )); } -double CAAIlluminatedFraction::IlluminatedFraction(double PhaseAngle) +double CAAIlluminatedFraction::IlluminatedFraction(double PhaseAngle) noexcept { //Convert from degrees to radians PhaseAngle = CAACoordinateTransformation::DegreesToRadians(PhaseAngle); @@ -70,97 +71,92 @@ double CAAIlluminatedFraction::IlluminatedFraction(double PhaseAngle) return (1 + cos(PhaseAngle)) / 2; } -double CAAIlluminatedFraction::IlluminatedFraction(double r, double R, double Delta) +double CAAIlluminatedFraction::MercuryMagnitudeMuller(double r, double Delta, double i) noexcept { - return (((r+Delta)*(r+Delta) - R*R) / (4*r*Delta)); -} - -double CAAIlluminatedFraction::MercuryMagnitudeMuller(double r, double Delta, double i) -{ - double I_50 = i - 50; + const double I_50 = i - 50; return 1.16 + 5*log10(r*Delta) + 0.02838*I_50 + 0.0001023*I_50*I_50; } -double CAAIlluminatedFraction::VenusMagnitudeMuller(double r, double Delta, double i) +double CAAIlluminatedFraction::VenusMagnitudeMuller(double r, double Delta, double i) noexcept { return -4.00 + 5*log10(r*Delta) + 0.01322*i + 0.0000004247*i*i*i; } -double CAAIlluminatedFraction::MarsMagnitudeMuller(double r, double Delta, double i) +double CAAIlluminatedFraction::MarsMagnitudeMuller(double r, double Delta, double i) noexcept { return -1.3 + 5*log10(r*Delta) + 0.01486*i; } -double CAAIlluminatedFraction::JupiterMagnitudeMuller(double r, double Delta) +double CAAIlluminatedFraction::JupiterMagnitudeMuller(double r, double Delta) noexcept { return -8.93 + 5*log10(r*Delta); } -double CAAIlluminatedFraction::SaturnMagnitudeMuller(double r, double Delta, double DeltaU, double B) +double CAAIlluminatedFraction::SaturnMagnitudeMuller(double r, double Delta, double DeltaU, double B) noexcept { //Convert from degrees to radians B = CAACoordinateTransformation::DegreesToRadians(B); - double sinB = sin(B); + const double sinB = sin(B); - return -8.68 + 5*log10(r*Delta) + 0.044*fabs(DeltaU) - 2.60*sin(fabs(B)) + 1.25*sinB*sinB; + return -8.68 + 5*log10(r*Delta) + 0.044*fabs(DeltaU) - 2.60*sin(fabs(B)) + 1.25*sinB*sinB; } -double CAAIlluminatedFraction::UranusMagnitudeMuller(double r, double Delta) +double CAAIlluminatedFraction::UranusMagnitudeMuller(double r, double Delta) noexcept { return -6.85 + 5*log10(r*Delta); } -double CAAIlluminatedFraction::NeptuneMagnitudeMuller(double r, double Delta) +double CAAIlluminatedFraction::NeptuneMagnitudeMuller(double r, double Delta) noexcept { return -7.05 + 5*log10(r*Delta); } -double CAAIlluminatedFraction::MercuryMagnitudeAA(double r, double Delta, double i) +double CAAIlluminatedFraction::MercuryMagnitudeAA(double r, double Delta, double i) noexcept { - double i2 = i*i; - double i3 = i2*i; + const double i2 = i*i; + const double i3 = i2*i; return -0.42 + 5*log10(r*Delta) + 0.0380*i - 0.000273*i2 + 0.000002*i3; } -double CAAIlluminatedFraction::VenusMagnitudeAA(double r, double Delta, double i) +double CAAIlluminatedFraction::VenusMagnitudeAA(double r, double Delta, double i) noexcept { - double i2 = i*i; - double i3 = i2*i; + const double i2 = i*i; + const double i3 = i2*i; return -4.40 + 5*log10(r*Delta) + 0.0009*i + 0.000239*i2 - 0.00000065*i3; } -double CAAIlluminatedFraction::MarsMagnitudeAA(double r, double Delta, double i) +double CAAIlluminatedFraction::MarsMagnitudeAA(double r, double Delta, double i) noexcept { return -1.52 + 5*log10(r*Delta) + 0.016*i; } -double CAAIlluminatedFraction::JupiterMagnitudeAA(double r, double Delta, double i) +double CAAIlluminatedFraction::JupiterMagnitudeAA(double r, double Delta, double i) noexcept { return -9.40 + 5*log10(r*Delta) + 0.005*i; } -double CAAIlluminatedFraction::SaturnMagnitudeAA(double r, double Delta, double DeltaU, double B) +double CAAIlluminatedFraction::SaturnMagnitudeAA(double r, double Delta, double DeltaU, double B) noexcept { //Convert from degrees to radians B = CAACoordinateTransformation::DegreesToRadians(B); - double sinB = sin(B); + const double sinB = sin(B); return -8.88 + 5*log10(r*Delta) + 0.044*fabs(DeltaU) - 2.60*sin(fabs(B)) + 1.25*sinB*sinB; } -double CAAIlluminatedFraction::UranusMagnitudeAA(double r, double Delta) +double CAAIlluminatedFraction::UranusMagnitudeAA(double r, double Delta) noexcept { return -7.19 + 5*log10(r*Delta); } -double CAAIlluminatedFraction::NeptuneMagnitudeAA(double r, double Delta) +double CAAIlluminatedFraction::NeptuneMagnitudeAA(double r, double Delta) noexcept { return -6.87 + 5*log10(r*Delta); } -double CAAIlluminatedFraction::PlutoMagnitudeAA(double r, double Delta) +double CAAIlluminatedFraction::PlutoMagnitudeAA(double r, double Delta) noexcept { return -1.00 + 5*log10(r*Delta); } diff --git a/Vendor/AA+/1.6.3/AAJewishCalendar.cpp b/Sources/AAPlus/AAJewishCalendar.cpp old mode 100755 new mode 100644 similarity index 60% rename from Vendor/AA+/1.6.3/AAJewishCalendar.cpp rename to Sources/AAPlus/AAJewishCalendar.cpp index 59cbd55..24f7558 --- a/Vendor/AA+/1.6.3/AAJewishCalendar.cpp +++ b/Sources/AAPlus/AAJewishCalendar.cpp @@ -1,10 +1,10 @@ /* -Module : AAJEWISHCALENDAR.CPP +Module : AAJewishCalendar.cpp Purpose: Implementation for the algorithms which convert between the Gregorian and Julian calendars and the Jewish calendar Created: PJN / 04-02-2004 History: PJN / 28-01-2007 1. Minor updates to fit in with new layout of CAADate class -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -29,22 +29,22 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -CAACalendarDate CAAJewishCalendar::DateOfPesach(long Year, bool bGregorianCalendar) +CAACalendarDate CAAJewishCalendar::DateOfPesach(long Year, bool bGregorianCalendar) noexcept { //What will be the return value CAACalendarDate Pesach; - long C = CAADate::INT(Year / 100.0); - long S = CAADate::INT((3*C - 5) / 4.0); + const long C = CAADate::INT(Year / 100.0); + long S = CAADate::INT((3.0*C - 5) / 4.0); if (bGregorianCalendar == false) S = 0; - long A = Year + 3760; - long a = (12*Year + 12) % 19; - long b = Year % 4; - double Q = -1.904412361576 + 1.554241796621*a + 0.25*b - 0.003177794022*Year + S; - long INTQ = CAADate::INT(Q); - long j = (INTQ + 3*Year + 5*b+ 2 - S) % 7; - double r = Q - INTQ; + const long A = Year + 3760; + const long a = (12*Year + 12) % 19; + const long b = Year % 4; + const double Q = -1.904412361576 + 1.554241796621*a + 0.25*b - 0.003177794022*Year + S; + const long INTQ = CAADate::INT(Q); + const long j = (INTQ + 3*Year + 5*b+ 2 - S) % 7; + const double r = Q - INTQ; if ((j == 2) || (j == 4) || (j == 6)) Pesach.Day = INTQ + 23; @@ -68,25 +68,18 @@ CAACalendarDate CAAJewishCalendar::DateOfPesach(long Year, bool bGregorianCalend return Pesach; } -bool CAAJewishCalendar::IsLeap(long Year) -{ - long ymod19 = Year % 19; - - return (ymod19 == 0) || (ymod19 == 3) || (ymod19 == 6) || (ymod19 == 8) || (ymod19 == 11) || (ymod19 == 14) || (ymod19 == 17); -} - -long CAAJewishCalendar::DaysInYear(long Year) +long CAAJewishCalendar::DaysInYear(long Year) noexcept { //Find the previous civil year corresponding to the specified jewish year - long CivilYear = Year - 3761; - + const long CivilYear = Year - 3761; + //Find the date of the next Jewish Year in that civil year - CAACalendarDate CurrentPesach = DateOfPesach(CivilYear); - bool bGregorian = CAADate::AfterPapalReform(CivilYear, CurrentPesach.Month, CurrentPesach.Day); - CAADate CurrentYear(CivilYear, CurrentPesach.Month, CurrentPesach.Day, bGregorian); + const CAACalendarDate CurrentPesach = DateOfPesach(CivilYear); + const bool bGregorian = CAADate::AfterPapalReform(CivilYear, CurrentPesach.Month, CurrentPesach.Day); + const CAADate CurrentYear(CivilYear, CurrentPesach.Month, CurrentPesach.Day, bGregorian); - CAACalendarDate NextPesach = DateOfPesach(CivilYear+1); - CAADate NextYear(CivilYear+1, NextPesach.Month, NextPesach.Day, bGregorian); + const CAACalendarDate NextPesach = DateOfPesach(CivilYear+1); + const CAADate NextYear(CivilYear+1, NextPesach.Month, NextPesach.Day, bGregorian); return static_cast(NextYear - CurrentYear); } diff --git a/Vendor/AA+/1.6.3/AAKepler.cpp b/Sources/AAPlus/AAKepler.cpp old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAKepler.cpp rename to Sources/AAPlus/AAKepler.cpp index 63bc629..bce8897 --- a/Vendor/AA+/1.6.3/AAKepler.cpp +++ b/Sources/AAPlus/AAKepler.cpp @@ -1,10 +1,10 @@ /* -Module : AAKEPLER.CPP +Module : AAKepler.cpp Purpose: Implementation for the algorithms which solve Kepler's equation Created: PJN / 29-12-2003 -History: None +History: PJN / 22-11-2021 1. Made some minor optimizations to the CAAKepler::Calculate method. -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,35 +30,36 @@ using namespace std; //////////////////// Implementation /////////////////////////////////////////// -double CAAKepler::Calculate(double M, double e, int nIterations) -{ +double CAAKepler::Calculate(double M, double e, int nIterations) noexcept +{ //Convert from degrees to radians M = CAACoordinateTransformation::DegreesToRadians(M); - double PI = CAACoordinateTransformation::PI(); + constexpr double PI = CAACoordinateTransformation::PI(); double F = 1; if (M < 0) F = -1; - M = fabs(M) / ( 2 * PI); + M = fabs(M) / (2*PI); M = (M - static_cast(M))*2*PI*F; if (M < 0) M += 2*PI; F = 1; if (M > PI) + { + M = (2*PI) - M; F = -1; - if (M > PI) - M = 2*PI - M; + } - double E = PI / 2; - double scale = PI / 4; + double E = PI / 2; + double D = PI / 4; for (int i=0; i R) - E += scale; + const double M1 = E - (e*sin(E)); + if (M > M1) + E += D; else - E -= scale; - scale /= 2; + E -= D; + D /= 2; } //Convert the result back to degrees diff --git a/Sources/AAPlus/AAMars.cpp b/Sources/AAPlus/AAMars.cpp new file mode 100644 index 0000000..5a15226 --- /dev/null +++ b/Sources/AAPlus/AAMars.cpp @@ -0,0 +1,572 @@ +/* +Module : AAMars.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Mars +Created: PJN / 29-12-2003 +History: PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the second coefficient used to calculate the B2 + term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting this + issue. + 2. Fixed a transcription error in the third coefficient used to calculate the B2 + term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting this + issue. + 3. Spot tests indicate that these two changes only affected the the ecliptic + latitude in the eight decimal place. + 4. Updated copyright details + PJN / 16-09-2015 1. CAAMars::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAMars.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////// Includes ///////////////////////////////////////////// + +#include "stdafx.h" +#include "AAMars.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_MAR.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0MarsCoefficients +{ { + { 620347712, 0, 0 }, + { 18656368, 5.05037100, 3340.61242670 }, + { 1108217, 5.4009984, 6681.2248534 }, + { 91798, 5.75479, 10021.83728 }, + { 27745, 5.97050, 3.52312 }, + { 12316, 0.84956, 2810.92146 }, + { 10610, 2.93959, 2281.23050 }, + { 8927, 4.1570, 0.0173 }, + { 8716, 6.1101, 13362.4497 }, + { 7775, 3.3397, 5621.8429 }, + { 6798, 0.3646, 398.1490 }, + { 4161, 0.2281, 2942.4634 }, + { 3575, 1.6619, 2544.3144 }, + { 3075, 0.8570, 191.4483 }, + { 2938, 6.0789, 0.0673 }, + { 2628, 0.6481, 3337.0893 }, + { 2580, 0.0300, 3344.1355 }, + { 2389, 5.0390, 796.2980 }, + { 1799, 0.6563, 529.6910 }, + { 1546, 2.9158, 1751.5395 }, + { 1528, 1.1498, 6151.5339 }, + { 1286, 3.0680, 2146.1654 }, + { 1264, 3.6228, 5092.1520 }, + { 1025, 3.6933, 8962.4553 }, + { 892, 0.183, 16703.062 }, + { 859, 2.401, 2914.014 }, + { 833, 4.495, 3340.630 }, + { 833, 2.464, 3340.595 }, + { 749, 3.822, 155.420 }, + { 724, 0.675, 3738.761 }, + { 713, 3.663, 1059.382 }, + { 655, 0.489, 3127.313 }, + { 636, 2.922, 8432.764 }, + { 553, 4.475, 1748.016 }, + { 550, 3.810, 0.980 }, + { 472, 3.625, 1194.447 }, + { 426, 0.554, 6283.076 }, + { 415, 0.497, 213.299 }, + { 312, 0.999, 6677.702 }, + { 307, 0.381, 6684.748 }, + { 302, 4.486, 3532.061 }, + { 299, 2.783, 6254.627 }, + { 293, 4.221, 20.775 }, + { 284, 5.769, 3149.164 }, + { 281, 5.882, 1349.867 }, + { 274, 0.542, 3340.545 }, + { 274, 0.134, 3340.680 }, + { 239, 5.372, 4136.910 }, + { 236, 5.755, 3333.499 }, + { 231, 1.282, 3870.303 }, + { 221, 3.505, 382.897 }, + { 204, 2.821, 1221.849 }, + { 193, 3.357, 3.590 }, + { 189, 1.491, 9492.146 }, + { 179, 1.006, 951.718 }, + { 174, 2.414, 553.569 }, + { 172, 0.439, 5486.778 }, + { 160, 3.949, 4562.461 }, + { 144, 1.419, 135.065 }, + { 140, 3.326, 2700.715 }, + { 138, 4.301, 7.114 }, + { 131, 4.045, 12303.068 }, + { 128, 2.208, 1592.596 }, + { 128, 1.807, 5088.629 }, + { 117, 3.128, 7903.073 }, + { 113, 3.701, 1589.073 }, + { 110, 1.052, 242.729 }, + { 105, 0.785, 8827.390 }, + { 100, 3.243, 11773.377 } +} }; + +constexpr array g_L1MarsCoefficients +{ { + { 334085627474.0, 0, 0 }, + { 1458227, 3.6042605, 3340.6124267 }, + { 164901, 3.926313, 6681.224853 }, + { 19963, 4.26594, 10021.83728 }, + { 3452, 4.7321, 3.5231 }, + { 2485, 4.6128, 13362.4497 }, + { 842, 4.459, 2281.230 }, + { 538, 5.016, 398.149 }, + { 521, 4.994, 3344.136 }, + { 433, 2.561, 191.448 }, + { 430, 5.316, 155.420 }, + { 382, 3.539, 796.298 }, + { 314, 4.963, 16703.062 }, + { 283, 3.160, 2544.314 }, + { 206, 4.569, 2146.165 }, + { 169, 1.329, 3337.089 }, + { 158, 4.185, 1751.540 }, + { 134, 2.233, 0.980 }, + { 134, 5.974, 1748.016 }, + { 118, 6.024, 6151.534 }, + { 117, 2.213, 1059.382 }, + { 114, 2.129, 1194.447 }, + { 114, 5.428, 3738.761 }, + { 91, 1.10, 1349.87 }, + { 85, 3.91, 553.57 }, + { 83, 5.30, 6684.75 }, + { 81, 4.43, 529.69 }, + { 80, 2.25, 8962.46 }, + { 73, 2.50, 951.72 }, + { 73, 5.84, 242.73 }, + { 71, 3.86, 2914.01 }, + { 68, 5.02, 382.90 }, + { 65, 1.02, 3340.60 }, + { 65, 3.05, 3340.63 }, + { 62, 4.15, 3149.16 }, + { 57, 3.89, 4136.91 }, + { 48, 4.87, 213.30 }, + { 48, 1.18, 3333.50 }, + { 47, 1.31, 3185.19 }, + { 41, 0.71, 1592.60 }, + { 40, 2.73, 7.11 }, + { 40, 5.32, 20043.67 }, + { 33, 5.41, 6283.08 }, + { 28, 0.05, 9492.15 }, + { 27, 3.89, 1221.85 }, + { 27, 5.11, 2700.72 } +} }; + +constexpr array g_L2MarsCoefficients +{ { + { 58016, 2.04979, 3340.61243 }, + { 54188, 0, 0 }, + { 13908, 2.45742, 6681.22485 }, + { 2465, 2.8000, 10021.8373 }, + { 398, 3.141, 13362.450 }, + { 222, 3.194, 3.523 }, + { 121, 0.543, 155.420 }, + { 62, 3.49, 16703.06 }, + { 54, 3.54, 3344.14 }, + { 34, 6.00, 2281.23 }, + { 32, 4.14, 191.45 }, + { 30, 2.00, 796.30 }, + { 23, 4.33, 242.73 }, + { 22, 3.45, 398.15 }, + { 20, 5.42, 553.57 }, + { 16, 0.66, 0.98 }, + { 16, 6.11, 2146.17 }, + { 16, 1.22, 1748.02 }, + { 15, 6.10, 3185.19 }, + { 14, 4.02, 951.72 }, + { 14, 2.62, 1349.87 }, + { 13, 0.60, 1194.45 }, + { 12, 3.86, 6684.75 }, + { 11, 4.72, 2544.31 }, + { 10, 0.25, 382.90 }, + { 9, 0.68, 1059.38 }, + { 9, 3.83, 20043.67 }, + { 9, 3.88, 3738.76 }, + { 8, 5.46, 1751.54 }, + { 7, 2.58, 3149.16 }, + { 7, 2.38, 4136.91 }, + { 6, 5.48, 1592.60 }, + { 6, 2.34, 3097.88 } +} }; + +constexpr array g_L3MarsCoefficients +{ { + { 1482, 0.4443, 3340.6124 }, + { 662, 0.885, 6681.225 }, + { 188, 1.288, 10021.837 }, + { 41, 1.65, 13362.45 }, + { 26, 0, 0 }, + { 23, 2.05, 155.42 }, + { 10, 1.58, 3.52 }, + { 8, 2.00, 16703.06 }, + { 5, 2.82, 242.73 }, + { 4, 2.02, 3344.14 }, + { 3, 4.59, 3185.19 }, + { 3, 0.65, 553.57 } +} }; + +constexpr array g_L4MarsCoefficients +{ { + { 114, 3.1416, 0 }, + { 29, 5.64, 6681.22 }, + { 24, 5.14, 3340.61 }, + { 11, 6.03, 10021.84 }, + { 3, 0.13, 13362.45 }, + { 3, 3.56, 155.42 }, + { 1, 0.49, 16703.06 }, + { 1, 1.32, 242.73 } +} }; + +constexpr array g_L5MarsCoefficients +{ { + { 1, 3.14, 0 }, + { 1, 4.04, 6681.22 } +} }; + +constexpr array g_B0MarsCoefficients +{ { + { 3197135, 3.7683204, 3340.6124267 }, + { 298033, 4.106170, 6681.224853 }, + { 289105, 0, 0 }, + { 31366, 4.44651, 10021.83728 }, + { 3484, 4.7881, 13362.4497 }, + { 443, 5.026, 3344.136 }, + { 443, 5.652, 3337.089 }, + { 399, 5.131, 16703.062 }, + { 293, 3.793, 2281.230 }, + { 182, 6.136, 6151.534 }, + { 163, 4.264, 529.691 }, + { 160, 2.232, 1059.382 }, + { 149, 2.165, 5621.843 }, + { 143, 1.182, 3340.595 }, + { 143, 3.213, 3340.630 }, + { 139, 2.418, 8962.455 } +} }; + +constexpr array g_B1MarsCoefficients +{ { + { 350069, 5.368478, 3340.612427 }, + { 14116, 3.14159, 0 }, + { 9671, 5.4788, 6681.2249 }, + { 1472, 3.2021, 10021.8373 }, + { 426, 3.408, 13362.450 }, + { 102, 0.776, 3337.089 }, + { 79, 3.72, 16703.06 }, + { 33, 3.46, 5621.84 }, + { 26, 2.48, 2281.23 } +} }; + +constexpr array g_B2MarsCoefficients +{ { + { 16727, 0.60221, 3340.61243 }, + { 4987, 3.1416, 0 }, + { 302, 5.559, 6681.225 }, + { 26, 1.90, 13362.45 }, + { 21, 0.92, 10021.84 }, + { 12, 2.24, 3337.09 }, + { 8, 2.25, 16703.06 } +} }; + +constexpr array g_B3MarsCoefficients +{ { + { 607, 1.981, 3340.612 }, + { 43, 0, 0 }, + { 14, 1.80, 6681.22 }, + { 3, 3.45, 10021.84 } +} }; + +constexpr array g_B4MarsCoefficients +{ { + { 13, 0, 0 }, + { 11, 3.46, 3340.61 }, + { 1, 0.50, 6681.22 } +} }; + +constexpr array g_R0MarsCoefficients +{ { + { 153033488, 0, 0 }, + { 14184953, 3.47971284, 3340.61242670 }, + { 660776, 3.817834, 6681.224853 }, + { 46179, 4.15595, 10021.83728 }, + { 8110, 5.5596, 2810.9215 }, + { 7485, 1.7724, 5621.8429 }, + { 5523, 1.3644, 2281.2305 }, + { 3825, 4.4941, 13362.4497 }, + { 2484, 4.9255, 2942.4634 }, + { 2307, 0.0908, 2544.3144 }, + { 1999, 5.3606, 3337.0893 }, + { 1960, 4.7425, 3344.1355 }, + { 1167, 2.1126, 5092.1520 }, + { 1103, 5.0091, 398.1490 }, + { 992, 5.839, 6151.534 }, + { 899, 4.408, 529.691 }, + { 807, 2.102, 1059.382 }, + { 798, 3.448, 796.298 }, + { 741, 1.499, 2146.165 }, + { 726, 1.245, 8432.764 }, + { 692, 2.134, 8962.455 }, + { 633, 0.894, 3340.595 }, + { 633, 2.924, 3340.630 }, + { 630, 1.287, 1751.540 }, + { 574, 0.829, 2914.014 }, + { 526, 5.383, 3738.761 }, + { 473, 5.199, 3127.313 }, + { 348, 4.832, 16703.062 }, + { 284, 2.907, 3532.061 }, + { 280, 5.257, 6283.076 }, + { 276, 1.218, 6254.627 }, + { 275, 2.908, 1748.016 }, + { 270, 3.764, 5884.927 }, + { 239, 2.037, 1194.447 }, + { 234, 5.105, 5486.778 }, + { 228, 3.255, 6872.673 }, + { 223, 4.199, 3149.164 }, + { 219, 5.583, 191.448 }, + { 208, 5.255, 3340.545 }, + { 208, 4.846, 3340.680 }, + { 186, 5.699, 6677.702 }, + { 183, 5.081, 6684.748 }, + { 179, 4.184, 3333.499 }, + { 176, 5.953, 3870.303 }, + { 164, 3.799, 4136.910 } +} }; + +constexpr array g_R1MarsCoefficients +{ { + { 1107433, 2.0325052, 3340.6124267 }, + { 103176, 2.370718, 6681.224853 }, + { 12877, 0, 0 }, + { 10816, 2.70888, 10021.83728 }, + { 1195, 3.0470, 13362.4497 }, + { 439, 2.888, 2281.230 }, + { 396, 3.423, 3344.136 }, + { 183, 1.584, 2544.314 }, + { 136, 3.385, 16703.062 }, + { 128, 6.043, 3337.089 }, + { 128, 0.630, 1059.382 }, + { 127, 1.954, 796.298 }, + { 118, 2.998, 2146.165 }, + { 88, 3.42, 398.15 }, + { 83, 3.86, 3738.76 }, + { 76, 4.45, 6151.53 }, + { 72, 2.76, 529.69 }, + { 67, 2.55, 1751.54 }, + { 66, 4.41, 1748.02 }, + { 58, 0.54, 1194.45 }, + { 54, 0.68, 8962.46 }, + { 51, 3.73, 6684.75 }, + { 49, 5.73, 3340.60 }, + { 49, 1.48, 3340.63 }, + { 48, 2.58, 3149.16 }, + { 48, 2.29, 2914.01 }, + { 39, 2.32, 4136.91 } +} }; + +constexpr array g_R2MarsCoefficients +{ { + { 44242, 0.47931, 3340.61243 }, + { 8138, 0.8700, 6681.2249 }, + { 1275, 1.2259, 10021.8373 }, + { 187, 1.573, 13362.450 }, + { 52, 3.14, 0 }, + { 41, 1.97, 3344.14 }, + { 27, 1.92, 16703.06 }, + { 18, 4.43, 2281.23 }, + { 12, 4.53, 3185.19 }, + { 10, 5.39, 1059.38 }, + { 10, 0.42, 796.30 } +} }; + +constexpr array g_R3MarsCoefficients +{ { + { 1113, 5.1499, 3340.6124 }, + { 424, 5.613, 6681.225 }, + { 100, 5.997, 10021.837 }, + { 20, 0.08, 13362.45 }, + { 5, 3.14, 0 }, + { 3, 0.43, 16703.06 } +} }; + +constexpr array g_R4MarsCoefficients +{ { + { 20, 3.58, 3340.61 }, + { 16, 4.05, 6681.22 }, + { 6, 4.46, 10021.84 }, + { 2, 4.84, 13362.45 } +} }; + + +///////////////////////////// Implementation ////////////////////////////////// + +double CAAMars::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mars::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0MarsCoefficients) + L0 += (L0Coefficient.A * std::cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1MarsCoefficients) + L1 += (L1Coefficient.A * std::cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2MarsCoefficients) + L2 += (L2Coefficient.A * std::cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3MarsCoefficients) + L3 += (L3Coefficient.A * std::cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4MarsCoefficients) + L4 += (L4Coefficient.A * std::cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5MarsCoefficients) + L5 += (L5Coefficient.A * std::cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAMars::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mars::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0MarsCoefficients) + B0 += (B0Coefficient.A * std::cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1MarsCoefficients) + B1 += (B1Coefficient.A * std::cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2MarsCoefficients) + B2 += (B2Coefficient.A * std::cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3MarsCoefficients) + B3 += (B3Coefficient.A * std::cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4MarsCoefficients) + B4 += (B4Coefficient.A * std::cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + B1*rho + B2*rhosquared + B3*rhocubed + B4*rho4) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAMars::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Mars::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficients : g_R0MarsCoefficients) + R0 += (R0Coefficients.A * std::cos(R0Coefficients.B + (R0Coefficients.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1MarsCoefficients) + R1 += (R1Coefficient.A * std::cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2MarsCoefficients) + R2 += (R2Coefficient.A * std::cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3MarsCoefficients) + R3 += (R3Coefficient.A * std::cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4MarsCoefficients) + R4 += (R4Coefficient.A * std::cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + return (R0 + R1*rho + R2*rhosquared + R3*rhocubed + R4*rho4) / 100000000; +} diff --git a/Sources/AAPlus/AAMoon.cpp b/Sources/AAPlus/AAMoon.cpp new file mode 100644 index 0000000..36d7b86 --- /dev/null +++ b/Sources/AAPlus/AAMoon.cpp @@ -0,0 +1,554 @@ +/* +Module : AAMoon.cpp +Purpose: Implementation for the algorithms which obtain the position of the Moon +Created: PJN / 29-12-2003 +History: PJN / 07-02-2009 1. Optimized the layout of the MoonCoefficient1 structure by making all elements + integers instead of doubles. + PJN / 12-02-2009 1. Fixed a seemingly copy and paste bug in CAAMoon::EclipticLongitude. The layout of the code + to calculate the "ThisSigma" value was incorrect. The terms involving any value of M was being + multiplied by E. This was incorrect as documented at the bottom of page 338 from the second + edition of Meeus's book. The correct logic is to multiple only terms which involve +1M or -1M + by E and to multiple any terms which involved 2M or -2M by E*E. With the bug fixed the worked + example 47.a from the book now gives: 133.16726428105474 degrees. This is a much closer result + to the value as reported in the book which is 133.167265. The previous buggy code was giving + the value of 133.16726382897039 degrees for the Moons apparent Longitude. The error in this + example is 0.001627 arc seconds of a degree. This error value is well within the actual + reported accuracy of 10 arc seconds for the code, but you would expect this error to increase + as the eccentricity of earths orbit increases. Thanks to Neoklis Kyriazis for reporting this bug. + PJN / 08-05-2011 1. Fixed a compilation issue on GCC where size_t was undefined in various methods. Thanks to + Carsten A. Arnholm and Andrew Hammond for reporting this bug. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 11-02-2017 1. Applied a bug fix to CAAMoon::EclipticLatitude and CAAMoon::RadiusVector along the same lines + as the fix to CAAMoon::EclipticLongitude on February 2009. The bug fix should in fact have been + applied to the later two methods. Thanks to Jeffrey Roe for reporting this issue. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAMoon.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 18-04-2020 1. Reworked C arrays to use std::array + PJN / 06-11-2021 1. Fix a minor layout problem in the g_MoonCoefficients3 lookup table. Thanks to Jud McCranie + for reporting this issue. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////////// Includes ///////////////////////////////////// + +#include "stdafx.h" +#include "AAMoon.h" +#include "AACoordinateTransformation.h" +#include "AAEarth.h" +#include "AANutation.h" +#include +#include +#include +#include +using namespace std; + + +//////////////////////////////// Macros / Defines ///////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct MoonCoefficient1 +{ + int D; + int M; + int Mdash; + int F; +}; + +struct MoonCoefficient2 +{ + double A; + double B; +}; + +constexpr array g_MoonCoefficients1 +{ { + { 0, 0, 1, 0 }, + { 2, 0, -1, 0 }, + { 2, 0, 0, 0 }, + { 0, 0, 2, 0 }, + { 0, 1, 0, 0 }, + { 0, 0, 0, 2 }, + { 2, 0, -2, 0 }, + { 2, -1, -1, 0 }, + { 2, 0, 1, 0 }, + { 2, -1, 0, 0 }, + { 0, 1, -1, 0 }, + { 1, 0, 0, 0 }, + { 0, 1, 1, 0 }, + { 2, 0, 0, -2 }, + { 0, 0, 1, 2 }, + { 0, 0, 1, -2 }, + { 4, 0, -1, 0 }, + { 0, 0, 3, 0 }, + { 4, 0, -2, 0 }, + { 2, 1, -1, 0 }, + { 2, 1, 0, 0 }, + { 1, 0, -1, 0 }, + { 1, 1, 0, 0 }, + { 2, -1, 1, 0 }, + { 2, 0, 2, 0 }, + { 4, 0, 0, 0 }, + { 2, 0, -3, 0 }, + { 0, 1, -2, 0 }, + { 2, 0, -1, 2 }, + { 2, -1, -2, 0 }, + { 1, 0, 1, 0 }, + { 2, -2, 0, 0 }, + { 0, 1, 2, 0 }, + { 0, 2, 0, 0 }, + { 2, -2, -1, 0 }, + { 2, 0, 1, -2 }, + { 2, 0, 0, 2 }, + { 4, -1, -1, 0 }, + { 0, 0, 2, 2 }, + { 3, 0, -1, 0 }, + { 2, 1, 1, 0 }, + { 4, -1, -2, 0 }, + { 0, 2, -1, 0 }, + { 2, 2, -1, 0 }, + { 2, 1, -2, 0 }, + { 2, -1, 0, -2 }, + { 4, 0, 1, 0 }, + { 0, 0, 4, 0 }, + { 4, -1, 0, 0 }, + { 1, 0, -2, 0 }, + { 2, 1, 0, -2 }, + { 0, 0, 2, -2 }, + { 1, 1, 1, 0 }, + { 3, 0, -2, 0 }, + { 4, 0, -3, 0 }, + { 2, -1, 2, 0 }, + { 0, 2, 1, 0 }, + { 1, 1, -1, 0 }, + { 2, 0, 3, 0 }, + { 2, 0, -1, -2 } +} }; + +constexpr array g_MoonCoefficients2 +{ { + { 6288774, -20905355 }, + { 1274027, -3699111 }, + { 658314, -2955968 }, + { 213618, -569925 }, + { -185116, 48888 }, + { -114332, -3149 }, + { 58793, 246158 }, + { 57066, -152138 }, + { 53322, -170733 }, + { 45758, -204586 }, + { -40923, -129620 }, + { -34720, 108743 }, + { -30383, 104755 }, + { 15327, 10321 }, + { -12528, 0 }, + { 10980, 79661 }, + { 10675, -34782 }, + { 10034, -23210 }, + { 8548, -21636 }, + { -7888, 24208 }, + { -6766, 30824 }, + { -5163, -8379 }, + { 4987, -16675 }, + { 4036, -12831 }, + { 3994, -10445 }, + { 3861, -11650 }, + { 3665, 14403 }, + { -2689, -7003 }, + { -2602, 0 }, + { 2390, 10056 }, + { -2348, 6322 }, + { 2236, -9884 }, + { -2120, 5751 }, + { -2069, 0 }, + { 2048, -4950 }, + { -1773, 4130 }, + { -1595, 0 }, + { 1215, -3958 }, + { -1110, 0 }, + { -892, 3258 }, + { -810, 2616 }, + { 759, -1897 }, + { -713, -2117 }, + { -700, 2354 }, + { 691, 0 }, + { 596, 0 }, + { 549, -1423 }, + { 537, -1117 }, + { 520, -1571 }, + { -487, -1739 }, + { -399, 0 }, + { -381, -4421 }, + { 351, 0 }, + { -340, 0 }, + { 330, 0 }, + { 327, 0 }, + { -323, 1165 }, + { 299, 0 }, + { 294, 0 }, + { 0, 8752 } +} }; + +constexpr array g_MoonCoefficients3 +{ { + { 0, 0, 0, 1 }, + { 0, 0, 1, 1 }, + { 0, 0, 1, -1 }, + { 2, 0, 0, -1 }, + { 2, 0, -1, 1 }, + { 2, 0, -1, -1 }, + { 2, 0, 0, 1 }, + { 0, 0, 2, 1 }, + { 2, 0, 1, -1 }, + { 0, 0, 2, -1 }, + { 2, -1, 0, -1 }, + { 2, 0, -2, -1 }, + { 2, 0, 1, 1 }, + { 2, 1, 0, -1 }, + { 2, -1, -1, 1 }, + { 2, -1, 0, 1 }, + { 2, -1, -1, -1 }, + { 0, 1, -1, -1 }, + { 4, 0, -1, -1 }, + { 0, 1, 0, 1 }, + { 0, 0, 0, 3 }, + { 0, 1, -1, 1 }, + { 1, 0, 0, 1 }, + { 0, 1, 1, 1 }, + { 0, 1, 1, -1 }, + { 0, 1, 0, -1 }, + { 1, 0, 0, -1 }, + { 0, 0, 3, 1 }, + { 4, 0, 0, -1 }, + { 4, 0, -1, 1 }, + { 0, 0, 1, -3 }, + { 4, 0, -2, 1 }, + { 2, 0, 0, -3 }, + { 2, 0, 2, -1 }, + { 2, -1, 1, -1 }, + { 2, 0, -2, 1 }, + { 0, 0, 3, -1 }, + { 2, 0, 2, 1 }, + { 2, 0, -3, -1 }, + { 2, 1, -1, 1 }, + { 2, 1, 0, 1 }, + { 4, 0, 0, 1 }, + { 2, -1, 1, 1 }, + { 2, -2, 0, -1 }, + { 0, 0, 1, 3 }, + { 2, 1, 1, -1 }, + { 1, 1, 0, -1 }, + { 1, 1, 0, 1 }, + { 0, 1, -2, -1 }, + { 2, 1, -1, -1 }, + { 1, 0, 1, 1 }, + { 2, -1, -2, -1 }, + { 0, 1, 2, 1 }, + { 4, 0, -2, -1 }, + { 4, -1, -1, -1 }, + { 1, 0, 1, -1 }, + { 4, 0, 1, -1 }, + { 1, 0, -1, -1 }, + { 4, -1, 0, -1 }, + { 2, -2, 0, 1 } +} }; + +constexpr array g_MoonCoefficients4 +{ { + 5128122, + 280602, + 277693, + 173237, + 55413, + 46271, + 32573, + 17198, + 9266, + 8822, + 8216, + 4324, + 4200, + -3359, + 2463, + 2211, + 2065, + -1870, + 1828, + -1794, + -1749, + -1565, + -1491, + -1475, + -1410, + -1344, + -1335, + 1107, + 1021, + 833, + 777, + 671, + 607, + 596, + 491, + -451, + 439, + 422, + 421, + -366, + -351, + 331, + 315, + 302, + -283, + -229, + 223, + 223, + -220, + -220, + -185, + 181, + -177, + 176, + 166, + -164, + 132, + -119, + 115, + 107, +} }; + + +/////////////////////////////// Implementation //////////////////////////////// + +double CAAMoon::MeanLongitude(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; + return CAACoordinateTransformation::MapTo0To360Range(218.3164477 + 481267.88123421*T - 0.0015786*Tsquared + Tcubed/538841 - T4/65194000); +} + +double CAAMoon::MeanElongation(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; + return CAACoordinateTransformation::MapTo0To360Range(297.8501921 + 445267.1114034*T - 0.0018819*Tsquared + Tcubed/545868 - T4/113065000); +} + +double CAAMoon::MeanAnomaly(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; + return CAACoordinateTransformation::MapTo0To360Range(134.9633964 + 477198.8675055*T + 0.0087414*Tsquared + Tcubed/69699 - T4/14712000); +} + +double CAAMoon::ArgumentOfLatitude(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; + return CAACoordinateTransformation::MapTo0To360Range(93.2720950 + 483202.0175233*T - 0.0036539*Tsquared - Tcubed/3526000 + T4/863310000); +} + +double CAAMoon::EclipticLongitude(double JD) noexcept +{ + double Ldash = MeanLongitude(JD); + const double LdashDegrees = Ldash; + Ldash = CAACoordinateTransformation::DegreesToRadians(Ldash); + double D = MeanElongation(JD); + D = CAACoordinateTransformation::DegreesToRadians(D); + double M = CAAEarth::SunMeanAnomaly(JD); + M = CAACoordinateTransformation::DegreesToRadians(M); + double Mdash = MeanAnomaly(JD); + Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); + double F = ArgumentOfLatitude(JD); + F = CAACoordinateTransformation::DegreesToRadians(F); + + const double E = CAAEarth::Eccentricity(JD); + const double Esquared = E*E; + const double T = (JD - 2451545) / 36525; + + double A1 = CAACoordinateTransformation::MapTo0To360Range(119.75 + 131.849*T); + A1 = CAACoordinateTransformation::DegreesToRadians(A1); + double A2 = CAACoordinateTransformation::MapTo0To360Range(53.09 + 479264.290*T); + A2 = CAACoordinateTransformation::DegreesToRadians(A2); + + constexpr size_t nLCoefficients = g_MoonCoefficients1.size(); + assert(nLCoefficients == g_MoonCoefficients2.size()); + double SigmaL = 0; + for (size_t i=0; i +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +vector CAAMoonMaxDeclinations2::Calculate(double StartJD, double EndJD, double StepInterval, Algorithm algorithm) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastLatitude0 = -90; + double LastLatitude1 = -90; + double LastRA0 = 0; + double LastRA1 = 0; + while (JD < EndJD) + { + double MoonLong = 0; + double MoonLat = 0; + switch (algorithm) + { + case Algorithm::MeeusTruncated: + { + MoonLong = CAAMoon::EclipticLongitude(JD); + MoonLat = CAAMoon::EclipticLatitude(JD); + break; + } +#ifndef AAPLUS_NO_ELP2000 + case Algorithm::ELP2000: + { + MoonLong = CAAELP2000::EclipticLongitude(JD); + MoonLat = CAAELP2000::EclipticLatitude(JD); + break; + } +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + case Algorithm::ELPMPP02Nominal: + { + MoonLong = CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::Nominal); + MoonLat = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::Nominal); + break; + } + case Algorithm::ELPMPP02LLR: + { + MoonLong = CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::LLR); + MoonLat = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::LLR); + break; + } + case Algorithm::ELPMPP02DE405: + { + MoonLong = CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE405); + MoonLat = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE405); + break; + } + case Algorithm::ELPMPP02DE406: + { + MoonLong = CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE406); + MoonLat = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE406); + break; + } +#endif //#ifndef AAPLUS_NO_ELPMPP02 + default: + { + assert(false); + break; + } + } + CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(MoonLong, MoonLat, CAANutation::TrueObliquityOfEcliptic(JD)); + + //Precess the coordinates if required + if (algorithm != Algorithm::MeeusTruncated) + Equatorial = CAAPrecession::PrecessEquatorial(Equatorial.X, Equatorial.Y, 2451545, JD); + + if ((LastLatitude0 != -90) && (LastLatitude1 != -90)) + { + double tempRA = Equatorial.X; + double tempLastRA1 = LastRA1; + double tempLastRA0 = LastRA0; + CAARiseTransitSet::CorrectRAValuesForInterpolation(tempLastRA1, tempLastRA0, tempRA); + if ((LastLatitude0 > Equatorial.Y) && (LastLatitude0 > LastLatitude1)) + { + CAAMoonMaxDeclinationsDetails2 event; + event.type = CAAMoonMaxDeclinationsDetails2::Type::MaxNorthernDeclination; + double fraction = 0; + event.Declination = CAAInterpolate::Extremum(LastLatitude1, LastLatitude0, Equatorial.Y, fraction); + event.RA = CAACoordinateTransformation::MapTo0To24Range(CAAInterpolate::Interpolate(fraction, tempLastRA1, tempLastRA0, tempRA)); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastLatitude0 < Equatorial.Y) && (LastLatitude0 < LastLatitude1)) + { + CAAMoonMaxDeclinationsDetails2 event; + event.type = CAAMoonMaxDeclinationsDetails2::Type::MaxSouthernDeclination; + double fraction = 0; + event.Declination = CAAInterpolate::Extremum(LastLatitude1, LastLatitude0, Equatorial.Y, fraction); + event.RA = CAACoordinateTransformation::MapTo0To24Range(CAAInterpolate::Interpolate(fraction, tempLastRA1, tempLastRA0, tempRA)); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastLatitude1 = LastLatitude0; + LastLatitude0 = Equatorial.Y; + LastRA1 = LastRA0; + LastRA0 = Equatorial.X; + JD += StepInterval; + } + + return events; +} diff --git a/Vendor/AA+/1.6.3/AAMoonNodes.cpp b/Sources/AAPlus/AAMoonNodes.cpp old mode 100755 new mode 100644 similarity index 70% rename from Vendor/AA+/1.6.3/AAMoonNodes.cpp rename to Sources/AAPlus/AAMoonNodes.cpp index 217fca5..a462afe --- a/Vendor/AA+/1.6.3/AAMoonNodes.cpp +++ b/Sources/AAPlus/AAMoonNodes.cpp @@ -1,10 +1,16 @@ /* -Module : AAMOONNODES.CPP +Module : AAMoonNodes.cpp Purpose: Implementation for the algorithms which obtain the dates when the Moon passes thro its nodes Created: PJN / 29-12-2003 -History: None +History: PJN / 28-03-2016 1. Fixed two transcription errors in CAAMoonNodes::PassageThroNode. The first + error was the calculation of the D4 local variable which represented 4D in + Meeus's formulae while the second error was in the -E*0.0003*sin(2D - 2M) + coefficient. With these two fixes the calculated time of Example 51.a from + Meeus's book is within 2 seconds of the value he reports. Thanks to Alejandro + Krohn for prompting this bug fix. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,18 +36,13 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -double CAAMoonNodes::K(double Year) -{ - return 13.4223*(Year - 2000.05); -} - -double CAAMoonNodes::PassageThroNode(double k) +double CAAMoonNodes::PassageThroNode(double k) noexcept { //convert from K to T - double T = k/1342.23; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; + const double T = k/1342.23; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; double D = CAACoordinateTransformation::MapTo0To360Range(183.6380 + 331.73735682*k + 0.0014852*Tsquared + 0.00000209*Tcubed - 0.000000010*T4); double M = CAACoordinateTransformation::MapTo0To360Range(17.4006 + 26.82037250*k + 0.0001186*Tsquared + 0.00000006*Tcubed); @@ -49,20 +50,20 @@ double CAAMoonNodes::PassageThroNode(double k) double omega = CAACoordinateTransformation::MapTo0To360Range(123.9767 - 1.44098956*k + 0.0020608*Tsquared + 0.00000214*Tcubed - 0.000000016*T4); double V = CAACoordinateTransformation::MapTo0To360Range(299.75 + 132.85*T - 0.009173*Tsquared); double P = CAACoordinateTransformation::MapTo0To360Range(omega + 272.75 - 2.3*T); - double E = 1 - 0.002516*T - 0.0000074*Tsquared; + const double E = 1 - 0.002516*T - 0.0000074*Tsquared; //convert to radians D = CAACoordinateTransformation::DegreesToRadians(D); - double D2 = 2*D; - double D4 = D2*D2; + const double D2 = 2*D; + const double D4 = D2*2; M = CAACoordinateTransformation::DegreesToRadians(M); Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); - double Mdash2 = 2*Mdash; + const double Mdash2 = 2*Mdash; omega = CAACoordinateTransformation::DegreesToRadians(omega); V = CAACoordinateTransformation::DegreesToRadians(V); P = CAACoordinateTransformation::DegreesToRadians(P); - double JD = 2451565.1619 + 27.212220817*k + const double JD = 2451565.1619 + 27.212220817*k + 0.0002762*Tsquared + 0.000000021*Tcubed - 0.000000000088*T4 @@ -84,7 +85,7 @@ double CAAMoonNodes::PassageThroNode(double k) + 0.0014*sin(D4 - Mdash) + E*0.0005*sin(D2 + M - Mdash) + E*0.0004*sin(D2 - M + Mdash) - - E*0.0003*sin(D2 - M*M) + - E*0.0003*sin(D2 - 2*M) + E*0.0003*sin(D4 - M) + 0.0003*sin(V) + 0.0003*sin(P); diff --git a/Sources/AAPlus/AAMoonNodes2.cpp b/Sources/AAPlus/AAMoonNodes2.cpp new file mode 100644 index 0000000..dacf65d --- /dev/null +++ b/Sources/AAPlus/AAMoonNodes2.cpp @@ -0,0 +1,120 @@ +/* +Module : AAMoonNodes2.cpp +Purpose: Implementation for the algorithms which obtain the dates when the Moon passes thro its nodes (revised version) +Created: PJN / 16-11-2019 +History: PJN / 16-11-2019 1. Initial implementation + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////// Includes ///////////////////////////////////////// + +#include "stdafx.h" +#include "AAMoonNodes2.h" +#include "AAMoon.h" +#ifndef AAPLUS_NO_ELP2000 +#include "AAELP2000.h" +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 +#include "AAELPMPP02.h" +#endif //#ifndef AAPLUS_NO_ELPMPP02 +#include +using namespace std; + + +//////////////////////////// Implementation /////////////////////////////////// + +vector CAAMoonNodes2::Calculate(double StartJD, double EndJD, double StepInterval, Algorithm algorithm) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastJD0 = 0; + double LastLatitude0 = -90; + while (JD < EndJD) + { + double MoonLatitude = 0; + switch (algorithm) + { + case Algorithm::MeeusTruncated: + { + MoonLatitude = CAAMoon::EclipticLatitude(JD); + break; + } +#ifndef AAPLUS_NO_ELP2000 + case Algorithm::ELP2000: + { + MoonLatitude = CAAELP2000::EclipticLatitude(JD); + break; + } +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + case Algorithm::ELPMPP02Nominal: + { + MoonLatitude = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::Nominal); + break; + } + case Algorithm::ELPMPP02LLR: + { + MoonLatitude = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::LLR); + break; + } + case Algorithm::ELPMPP02DE405: + { + MoonLatitude = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE405); + break; + } + case Algorithm::ELPMPP02DE406: + { + MoonLatitude = CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE406); + break; + } +#endif //#ifndef AAPLUS_NO_ELPMPP02 + default: + { + assert(false); + break; + } + } + + if (LastLatitude0 != -90) + { + if ((LastLatitude0 < 0) && (MoonLatitude >= 0)) + { + CAAMoonNodesDetails2 event; + event.type = CAAMoonNodesDetails2::Type::Ascending; + const double fraction = (0 - LastLatitude0) / (MoonLatitude - LastLatitude0); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastLatitude0 > 0) && (MoonLatitude <= 0)) + { + CAAMoonNodesDetails2 event; + event.type = CAAMoonNodesDetails2::Type::Descending; + const double fraction = (0 - LastLatitude0) / (MoonLatitude - LastLatitude0); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastLatitude0 = MoonLatitude; + LastJD0 = JD; + JD += StepInterval; + } + + return events; +} diff --git a/Vendor/AA+/1.6.3/AAMoonPerigeeApogee.cpp b/Sources/AAPlus/AAMoonPerigeeApogee.cpp old mode 100755 new mode 100644 similarity index 52% rename from Vendor/AA+/1.6.3/AAMoonPerigeeApogee.cpp rename to Sources/AAPlus/AAMoonPerigeeApogee.cpp index f473078..c3d9df0 --- a/Vendor/AA+/1.6.3/AAMoonPerigeeApogee.cpp +++ b/Sources/AAPlus/AAMoonPerigeeApogee.cpp @@ -1,5 +1,5 @@ /* -Module : AAMOONPERIGEEAPOGEE.CPP +Module : AAMoonPerigeeApogee.cpp Purpose: Implementation for the algorithms which obtain the dates of Lunar Apogee and Perigee Created: PJN / 29-12-2003 History: PJN / 07-02-2009 1. Fixed a seemingly copy and paste bug in CAAMoonPerigeeApogee::TruePerigee. The @@ -17,8 +17,15 @@ History: PJN / 07-02-2009 1. Fixed a seemingly copy and paste bug in CAAMoonPeri incorrectly using "D+2M-0.0011". Thanks to Thomas Meyer for reporting this bug. PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this issue when compiling AA+ on ARM. + PJN / 09-03-2016 1. Fixed three transcription bugs in the g_MoonPerigeeApogeeCoefficients3 table. Thanks to + "Pavel" for reporting this bug. A spot check of the True Perigee parallax values from 1984 to 2026 + indicate that this bug did not affect the calculated distances at least in this time range to a + precision of a kilometer which is well within the claimed accuracy of 12 KM as mentioned in + Meeus's book on page 361. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 14-04-2020 1. Reworked C arrays to use std::array -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -39,11 +46,16 @@ to maintain a single distribution point for the source code. #include "AAMoonPerigeeApogee.h" #include "AACoordinateTransformation.h" #include +#include using namespace std; ////////////////////////////////// Macros / Defines /////////////////////////// +#ifdef _MSC_VER +#pragma warning(disable : 26446 26481 26482) +#endif //#ifdef _MSC_VER + struct MoonPerigeeApogeeCoefficient { int D; @@ -53,120 +65,117 @@ struct MoonPerigeeApogeeCoefficient double T; }; -const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients1[] = -{ - { 2, 0, 0, -1.6769, 0 }, - { 4, 0, 0, 0.4589, 0 }, - { 6, 0, 0, -0.1856, 0 }, - { 8, 0, 0, 0.0883, 0 }, - { 2, -1, 0, -0.0773, 0.00019 }, +constexpr array g_MoonPerigeeApogeeCoefficients1 +{ { + { 2, 0, 0, -1.6769, 0 }, + { 4, 0, 0, 0.4589, 0 }, + { 6, 0, 0, -0.1856, 0 }, + { 8, 0, 0, 0.0883, 0 }, + { 2, -1, 0, -0.0773, 0.00019 }, { 0, 1, 0, 0.0502, -0.00013 }, - { 10, 0, 0, -0.0460, 0 }, + { 10, 0, 0, -0.0460, 0 }, { 4, -1, 0, 0.0422, -0.00011 }, - { 6, -1, 0, -0.0256, 0 }, - { 12, 0, 0, 0.0253, 0 }, - { 1, 0, 0, 0.0237, 0 }, - { 8, -1, 0, 0.0162, 0 }, - { 14, 0, 0, -0.0145, 0 }, - { 0, 0, 2, 0.0129, 0 }, - { 3, 0, 0, -0.0112, 0 }, - { 10, -1, 0, -0.0104, 0 }, - { 16, 0, 0, 0.0086, 0 }, - { 12, -1, 0, 0.0069, 0 }, - { 5, 0, 0, 0.0066, 0 }, - { 2, 0, 2, -0.0053, 0 }, - { 18, 0, 0, -0.0052, 0 }, - { 14, -1, 0, -0.0046, 0 }, - { 7, 0, 0, -0.0041, 0 }, - { 2, 1, 0, 0.0040, 0 }, - { 20, 0, 0, 0.0032, 0 }, - { 1, 1, 0, -0.0032, 0 }, - { 16, -1, 0, 0.0031, 0 }, - { 4, 1, 0, -0.0029, 0 }, - { 9, 0, 0, 0.0027, 0 }, - { 4, 0, 2, 0.0027, 0 }, - { 2, -2, 0, -0.0027, 0 }, - { 4, -2, 0, 0.0024, 0 }, - { 6, -2, 0, -0.0021, 0 }, - { 22, 0, 0, -0.0021, 0 }, - { 18, -1, 0, -0.0021, 0 }, - { 6, 1, 0, 0.0019, 0 }, - { 11, 0, 0, -0.0018, 0 }, - { 8, 1, 0, -0.0014, 0 }, - { 4, 0, -2, -0.0014, 0 }, - { 6, 0, 2, -0.0014, 0 }, - { 3, 1, 0, 0.0014, 0 }, - { 5, 1, 0, -0.0014, 0 }, - { 13, 0, 0, 0.0013, 0 }, - { 20, -1, 0, 0.0013, 0 }, - { 3, 2, 0, 0.0011, 0 }, - { 4, -2, 2, -0.0011, 0 }, - { 1, 2, 0, -0.0010, 0 }, - { 22, -1, 0, -0.0009, 0 }, - { 0, 0, 4, -0.0008, 0 }, - { 6, 0, -2, 0.0008, 0 }, - { 2, 1, -2, 0.0008, 0 }, - { 0, 2, 0 , 0.0007, 0 }, - { 0, -1, 2, 0.0007, 0 }, - { 2, 0, 4, 0.0007, 0 }, - { 0, -2, 2, -0.0006, 0 }, - { 2, 2, -2, -0.0006, 0 }, - { 24, 0, 0, 0.0006, 0 }, - { 4, 0, -4, 0.0005, 0 }, - { 2, 2, 0, 0.0005, 0 }, - { 1, -1, 0, -0.0004, 0 } -}; - -const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients2[] = -{ - { 2, 0, 0, 0.4392, 0 }, - { 4, 0, 0, 0.0684, 0 }, + { 6, -1, 0, -0.0256, 0 }, + { 12, 0, 0, 0.0253, 0 }, + { 1, 0, 0, 0.0237, 0 }, + { 8, -1, 0, 0.0162, 0 }, + { 14, 0, 0, -0.0145, 0 }, + { 0, 0, 2, 0.0129, 0 }, + { 3, 0, 0, -0.0112, 0 }, + { 10, -1, 0, -0.0104, 0 }, + { 16, 0, 0, 0.0086, 0 }, + { 12, -1, 0, 0.0069, 0 }, + { 5, 0, 0, 0.0066, 0 }, + { 2, 0, 2, -0.0053, 0 }, + { 18, 0, 0, -0.0052, 0 }, + { 14, -1, 0, -0.0046, 0 }, + { 7, 0, 0, -0.0041, 0 }, + { 2, 1, 0, 0.0040, 0 }, + { 20, 0, 0, 0.0032, 0 }, + { 1, 1, 0, -0.0032, 0 }, + { 16, -1, 0, 0.0031, 0 }, + { 4, 1, 0, -0.0029, 0 }, + { 9, 0, 0, 0.0027, 0 }, + { 4, 0, 2, 0.0027, 0 }, + { 2, -2, 0, -0.0027, 0 }, + { 4, -2, 0, 0.0024, 0 }, + { 6, -2, 0, -0.0021, 0 }, + { 22, 0, 0, -0.0021, 0 }, + { 18, -1, 0, -0.0021, 0 }, + { 6, 1, 0, 0.0019, 0 }, + { 11, 0, 0, -0.0018, 0 }, + { 8, 1, 0, -0.0014, 0 }, + { 4, 0, -2, -0.0014, 0 }, + { 6, 0, 2, -0.0014, 0 }, + { 3, 1, 0, 0.0014, 0 }, + { 5, 1, 0, -0.0014, 0 }, + { 13, 0, 0, 0.0013, 0 }, + { 20, -1, 0, 0.0013, 0 }, + { 3, 2, 0, 0.0011, 0 }, + { 4, -2, 2, -0.0011, 0 }, + { 1, 2, 0, -0.0010, 0 }, + { 22, -1, 0, -0.0009, 0 }, + { 0, 0, 4, -0.0008, 0 }, + { 6, 0, -2, 0.0008, 0 }, + { 2, 1, -2, 0.0008, 0 }, + { 0, 2, 0 , 0.0007, 0 }, + { 0, -1, 2, 0.0007, 0 }, + { 2, 0, 4, 0.0007, 0 }, + { 0, -2, 2, -0.0006, 0 }, + { 2, 2, -2, -0.0006, 0 }, + { 24, 0, 0, 0.0006, 0 }, + { 4, 0, -4, 0.0005, 0 }, + { 2, 2, 0, 0.0005, 0 }, + { 1, -1, 0, -0.0004, 0 } +} }; + +constexpr array g_MoonPerigeeApogeeCoefficients2 +{ { + { 2, 0, 0, 0.4392, 0 }, + { 4, 0, 0, 0.0684, 0 }, { 0, 1, 0, 0.0456, -0.00011 }, { 2, -1, 0, 0.0426, -0.00011 }, - { 0, 0, 2, 0.0212, 0 }, - { 1, 0, 0, -0.0189, 0 }, - { 6, 0, 0, 0.0144, 0 }, - { 4, -1, 0, 0.0113, 0 }, - { 2, 0, 2, 0.0047, 0 }, - { 1, 1, 0, 0.0036, 0 }, - { 8, 0, 0, 0.0035, 0 }, - { 6, -1, 0, 0.0034, 0 }, - { 2, 0, -2, -0.0034, 0 }, - { 2, -2, 0, 0.0022, 0 }, - { 3, 0, 0, -0.0017, 0 }, - { 4, 0, 2, 0.0013, 0 }, - { 8, -1, 0, 0.0011, 0 }, - { 4, -2, 0, 0.0010, 0 }, - { 10, 0, 0, 0.0009, 0 }, - { 3, 1, 0, 0.0007, 0 }, - { 0, 2, 0, 0.0006, 0 }, - { 2, 1, 0, 0.0005, 0 }, - { 2, 2, 0, 0.0005, 0 }, - { 6, 0, 2, 0.0004, 0 }, - { 6, -2, 0, 0.0004, 0 }, - { 10, -1, 0, 0.0004, 0 }, - { 5, 0, 0, -0.0004, 0 }, - { 4, 0, -2, -0.0004, 0 }, - { 0, 1, 2, 0.0003, 0 }, - { 12, 0, 0, 0.0003, 0 }, - { 2, -1, 2, 0.0003, 0 }, - { 1, -1, 0, -0.0003, 0 } -}; - -const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients3[] = -{ + { 0, 0, 2, 0.0212, 0 }, + { 1, 0, 0, -0.0189, 0 }, + { 6, 0, 0, 0.0144, 0 }, + { 4, -1, 0, 0.0113, 0 }, + { 2, 0, 2, 0.0047, 0 }, + { 1, 1, 0, 0.0036, 0 }, + { 8, 0, 0, 0.0035, 0 }, + { 6, -1, 0, 0.0034, 0 }, + { 2, 0, -2, -0.0034, 0 }, + { 2, -2, 0, 0.0022, 0 }, + { 3, 0, 0, -0.0017, 0 }, + { 4, 0, 2, 0.0013, 0 }, + { 8, -1, 0, 0.0011, 0 }, + { 4, -2, 0, 0.0010, 0 }, + { 10, 0, 0, 0.0009, 0 }, + { 3, 1, 0, 0.0007, 0 }, + { 0, 2, 0, 0.0006, 0 }, + { 2, 1, 0, 0.0005, 0 }, + { 2, 2, 0, 0.0005, 0 }, + { 6, 0, 2, 0.0004, 0 }, + { 6, -2, 0, 0.0004, 0 }, + { 10, -1, 0, 0.0004, 0 }, + { 5, 0, 0, -0.0004, 0 }, + { 4, 0, -2, -0.0004, 0 }, + { 0, 1, 2, 0.0003, 0 }, + { 12, 0, 0, 0.0003, 0 }, + { 2, -1, 2, 0.0003, 0 }, + { 1, -1, 0, -0.0003, 0 } +} }; + +constexpr array g_MoonPerigeeApogeeCoefficients3 +{ { { 2, 0, 0, 63.224, 0 }, { 4, 0, 0, -6.990, 0 }, - { 2, -1, 0, 2.834, 0 }, - { 2, -1, 0, 0, -0.0071 }, + { 2, -1, 0, 2.834, -0.0071 }, { 6, 0, 0, 1.927, 0 }, { 1, 0, 0, -1.263, 0 }, { 8, 0, 0, -0.702, 0 }, - { 0, 1, 0, 0.696, 0 }, - { 0, 1, 0, 0, -0.0017 }, + { 0, 1, 0, 0.696, -0.0017 }, { 0, 0, 2, -0.690, 0 }, - { 4, -1, 0, -0.629, 0 }, - { 4, -1, 0, 0, 0.0016 }, + { 4, -1, 0, -0.629, 0.0016 }, { 2, 0, -2, -0.392, 0 }, { 10, 0, 0, 0.297, 0 }, { 6, -1, 0, 0.260, 0 }, @@ -199,15 +208,15 @@ const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients3[] = { 6, 0, 2, 0.017, 0 }, { 0, -1, 2, 0.014, 0 }, { 16, -1, 0, -0.014, 0 }, - { 4, 0, -2, 0.013, 0 }, + { 4, 0, -2, 0.013, 0 }, { 8, 1, 0, 0.012, 0 }, { 11, 0, 0, 0.011, 0 }, { 5, 1, 0, 0.010, 0 }, { 20, 0, 0, -0.010, 0 } -}; +} }; -const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients4[] = -{ +constexpr array g_MoonPerigeeApogeeCoefficients4 +{ { { 2, 0, 0, -9.147, 0 }, { 1, 0, 0, -0.841, 0 }, { 0, 0, 2, 0.697, 0 }, @@ -224,43 +233,21 @@ const MoonPerigeeApogeeCoefficient g_MoonPerigeeApogeeCoefficients4[] = { 2, 2, 0, 0.019, 0 }, { 0, 2, 0, -0.016, 0 }, { 6, -1, 0, 0.014, 0 }, - { 8, 0, 0, 0.010, 0 } -}; + { 8, 0, 0, 0.010, 0 } +} }; //////////////////////////////// Implementation /////////////////////////////// -double CAAMoonPerigeeApogee::K(double Year) -{ - return 13.2555*(Year - 1999.97); -} - -double CAAMoonPerigeeApogee::MeanPerigee(double k) -{ - //convert from K to T - double T = k/1325.55; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; - - return 2451534.6698 + 27.55454989*k - 0.0006691*Tsquared - 0.000001098*Tcubed + 0.0000000052*T4; -} - -double CAAMoonPerigeeApogee::MeanApogee(double k) -{ - //Uses the same formula as MeanPerigee - return MeanPerigee(k); -} - -double CAAMoonPerigeeApogee::TruePerigee(double k) +double CAAMoonPerigeeApogee::TruePerigee(double k) noexcept { - double MeanJD = MeanPerigee(k); + const double MeanJD = MeanPerigee(k); //convert from K to T - double T = k/1325.55; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; + const double T = k/1325.55; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; + const double T4 = Tcubed*T; double D = CAACoordinateTransformation::MapTo0To360Range(171.9179 + 335.9106046*k - 0.0100383*Tsquared - 0.00001156*Tcubed + 0.000000055*T4); D = CAACoordinateTransformation::DegreesToRadians(D); @@ -269,24 +256,20 @@ double CAAMoonPerigeeApogee::TruePerigee(double k) double F = CAACoordinateTransformation::MapTo0To360Range(316.6109 + 364.5287911*k - 0.0125053*Tsquared - 0.0000148*Tcubed); F = CAACoordinateTransformation::DegreesToRadians(F); - int nPerigeeCoefficients = sizeof(g_MoonPerigeeApogeeCoefficients1) / sizeof(MoonPerigeeApogeeCoefficient); double Sigma = 0; - for (int i=0; i +#include +using namespace std; + + +//////////////////////////// Implementation /////////////////////////////////// + +double CAAMoonPhases::TruePhase(double k) noexcept +{ + //What will be the return value + double JD = MeanPhase(k); + + //convert from K to T + const double T = k/1236.85; + const double T2 = T*T; + const double T3 = T2*T; + const double T4 = T3*T; + + const double E = 1 - 0.002516*T - 0.0000074*T2; + const double E2 = E*E; + + double M = CAACoordinateTransformation::MapTo0To360Range(2.5534 + 29.10535670*k - 0.0000014*T2 - 0.00000011*T3); + M = CAACoordinateTransformation::DegreesToRadians(M); + double Mdash = CAACoordinateTransformation::MapTo0To360Range(201.5643 + 385.81693528*k + 0.0107582*T2 + 0.00001238*T3 - 0.000000058*T4); + Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); + double F = CAACoordinateTransformation::MapTo0To360Range(160.7108 + 390.67050284*k - 0.0016118*T2 - 0.00000227*T3 + 0.000000011*T4); + F = CAACoordinateTransformation::DegreesToRadians(F); + double omega = CAACoordinateTransformation::MapTo0To360Range(124.7746 - 1.56375588*k + 0.0020672*T2 + 0.00000215*T3); + omega = CAACoordinateTransformation::DegreesToRadians(omega); + double A1 = CAACoordinateTransformation::MapTo0To360Range(299.77 + 0.107408*k - 0.009173*T2); + A1 = CAACoordinateTransformation::DegreesToRadians(A1); + double A2 = CAACoordinateTransformation::MapTo0To360Range(251.88 + 0.016321*k); + A2 = CAACoordinateTransformation::DegreesToRadians(A2); + double A3 = CAACoordinateTransformation::MapTo0To360Range(251.83 + 26.651886*k); + A3 = CAACoordinateTransformation::DegreesToRadians(A3); + double A4 = CAACoordinateTransformation::MapTo0To360Range(349.42 + 36.412478*k); + A4 = CAACoordinateTransformation::DegreesToRadians(A4); + double A5 = CAACoordinateTransformation::MapTo0To360Range(84.66 + 18.206239*k); + A5 = CAACoordinateTransformation::DegreesToRadians(A5); + double A6 = CAACoordinateTransformation::MapTo0To360Range(141.74 + 53.303771*k); + A6 = CAACoordinateTransformation::DegreesToRadians(A6); + double A7 = CAACoordinateTransformation::MapTo0To360Range(207.14 + 2.453732*k); + A7 = CAACoordinateTransformation::DegreesToRadians(A7); + double A8 = CAACoordinateTransformation::MapTo0To360Range(154.84 + 7.306860*k); + A8 = CAACoordinateTransformation::DegreesToRadians(A8); + double A9 = CAACoordinateTransformation::MapTo0To360Range(34.52 + 27.261239*k); + A9 = CAACoordinateTransformation::DegreesToRadians(A9); + double A10 = CAACoordinateTransformation::MapTo0To360Range(207.19 + 0.121824*k); + A10 = CAACoordinateTransformation::DegreesToRadians(A10); + double A11 = CAACoordinateTransformation::MapTo0To360Range(291.34 + 1.844379*k); + A11 = CAACoordinateTransformation::DegreesToRadians(A11); + double A12 = CAACoordinateTransformation::MapTo0To360Range(161.72 + 24.198154*k); + A12 = CAACoordinateTransformation::DegreesToRadians(A12); + double A13 = CAACoordinateTransformation::MapTo0To360Range(239.56 + 25.513099*k); + A13 = CAACoordinateTransformation::DegreesToRadians(A13); + double A14 = CAACoordinateTransformation::MapTo0To360Range(331.55 + 3.592518*k); + A14 = CAACoordinateTransformation::DegreesToRadians(A14); + + //convert to radians + double kint = 0; + double kfrac = modf(k, &kint); + if (kfrac < 0) + kfrac = 1 + kfrac; + if (kfrac == 0) //New Moon + { + const double DeltaJD = -0.40720*sin(Mdash) + + 0.17241*E*sin(M) + + 0.01608*sin(2*Mdash) + + 0.01039*sin(2*F) + + 0.00739*E*sin(Mdash - M) + + -0.00514*E*sin(Mdash + M) + + 0.00208*E2*sin(2*M) + + -0.00111*sin(Mdash - 2*F) + + -0.00057*sin(Mdash + 2*F) + + 0.00056*E*sin(2*Mdash + M) + + -0.00042*sin(3*Mdash) + + 0.00042*E*sin(M + 2*F) + + 0.00038*E*sin(M - 2*F) + + -0.00024*E*sin(2*Mdash - M) + + -0.00017*sin(omega) + + -0.00007*sin(Mdash + 2*M) + + 0.00004*sin(2*Mdash - 2*F) + + 0.00004*sin(3*M) + + 0.00003*sin(Mdash + M - 2*F) + + 0.00003*sin(2*Mdash + 2*F) + + -0.00003*sin(Mdash + M + 2*F) + + 0.00003*sin(Mdash - M + 2*F) + + -0.00002*sin(Mdash - M - 2*F) + + -0.00002*sin(3*Mdash + M) + + 0.00002*sin(4*Mdash); + JD += DeltaJD; + } + else if ((kfrac == 0.25) || (kfrac == 0.75)) //First Quarter or Last Quarter + { + const double DeltaJD = -0.62801*sin(Mdash) + + 0.17172*E*sin(M) + + -0.01183*E*sin(Mdash + M) + + 0.00862*sin(2*Mdash) + + 0.00804*sin(2*F) + + 0.00454*E*sin(Mdash - M) + + 0.00204*E2*sin(2*M) + + -0.00180*sin(Mdash - 2*F) + + -0.00070*sin(Mdash + 2*F) + + -0.00040*sin(3*Mdash) + + -0.00034*E*sin(2*Mdash - M) + + 0.00032*E*sin(M + 2*F) + + 0.00032*E*sin(M - 2*F) + + -0.00028*E2*sin(Mdash + 2*M) + + 0.00027*E*sin(2*Mdash + M) + + -0.00017*sin(omega) + + -0.00005*sin(Mdash - M - 2*F) + + 0.00004*sin(2*Mdash + 2*F) + + -0.00004*sin(Mdash + M + 2*F) + + 0.00004*sin(Mdash - 2*M) + + 0.00003*sin(Mdash + M - 2*F) + + 0.00003*sin(3*M) + + 0.00002*sin(2*Mdash - 2*F) + + 0.00002*sin(Mdash - M + 2*F) + + -0.00002*sin(3*Mdash + M); + JD += DeltaJD; + + const double W = 0.00306 - 0.00038*E*cos(M) + 0.00026*cos(Mdash) - 0.00002*cos(Mdash - M) + 0.00002*cos(Mdash + M) + 0.00002*cos(2*F); + if (kfrac == 0.25) //First quarter + JD += W; + else + JD -= W; + } + else if (kfrac == 0.5) //Full Moon + { + const double DeltaJD = -0.40614*sin(Mdash) + + 0.17302*E*sin(M) + + 0.01614*sin(2*Mdash) + + 0.01043*sin(2*F) + + 0.00734*E*sin(Mdash - M) + + -0.00514*E*sin(Mdash + M) + + 0.00209*E2*sin(2*M) + + -0.00111*sin(Mdash - 2*F) + + -0.00057*sin(Mdash + 2*F) + + 0.00056*E*sin(2*Mdash + M) + + -0.00042*sin(3*Mdash) + + 0.00042*E*sin(M + 2*F) + + 0.00038*E*sin(M - 2*F) + + -0.00024*E*sin(2*Mdash - M) + + -0.00017*sin(omega) + + -0.00007*sin(Mdash + 2*M) + + 0.00004*sin(2*Mdash - 2*F) + + 0.00004*sin(3*M) + + 0.00003*sin(Mdash + M - 2*F) + + 0.00003*sin(2*Mdash + 2*F) + + -0.00003*sin(Mdash + M + 2*F) + + 0.00003*sin(Mdash - M + 2*F) + + -0.00002*sin(Mdash - M - 2*F) + + -0.00002*sin(3*Mdash + M) + + 0.00002*sin(4*Mdash); + JD += DeltaJD; + } + else + { + assert(false); + } + + //Additional corrections for all phases + const double DeltaJD2 = 0.000325*sin(A1) + + 0.000165*sin(A2) + + 0.000164*sin(A3) + + 0.000126*sin(A4) + + 0.000110*sin(A5) + + 0.000062*sin(A6) + + 0.000060*sin(A7) + + 0.000056*sin(A8) + + 0.000047*sin(A9) + + 0.000042*sin(A10) + + 0.000040*sin(A11) + + 0.000037*sin(A12) + + 0.000035*sin(A13) + + 0.000023*sin(A14); + JD += DeltaJD2; + + return JD; +} diff --git a/Sources/AAPlus/AAMoonPhases2.cpp b/Sources/AAPlus/AAMoonPhases2.cpp new file mode 100644 index 0000000..7f5f0b9 --- /dev/null +++ b/Sources/AAPlus/AAMoonPhases2.cpp @@ -0,0 +1,144 @@ +/* +Module : AAMoonNodes2.cpp +Purpose: Implementation for the algorithms which obtain the dates for the phases of the Moon (revised version) +Created: PJN / 01-01-2020 +History: PJN / 01-01-2020 1. Initial implementation + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////// Includes ///////////////////////////////////////// + +#include "stdafx.h" +#include "AAMoonPhases2.h" +#include "AAMoon.h" +#include "AASun.h" +#include "AAPrecession.h" +#ifndef AAPLUS_NO_ELP2000 +#include "AAELP2000.h" +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 +#include "AAELPMPP02.h" +#endif //#ifndef AAPLUS_NO_ELPMPP02 +#include "AACoordinateTransformation.h" +#include +using namespace std; + + +//////////////////////////// Implementation /////////////////////////////////// + +vector CAAMoonPhases2::Calculate(double StartJD, double EndJD, double StepInterval, Algorithm algorithm) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastJD0 = 0; + double LastExcessApparentGeocentricLongitude = -360; + while (JD < EndJD) + { + double ExcessApparentGeocentricLongitude = 0; + switch (algorithm) + { + case Algorithm::MeeusTruncated: + { + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(CAAMoon::EclipticLongitude(JD) - CAASun::ApparentEclipticLongitude(JD, false)); + break; + } +#ifndef AAPLUS_NO_ELP2000 + case Algorithm::ELP2000: + { + const CAA2DCoordinate MoonPos = CAAPrecession::PrecessEcliptic(CAAELP2000::EclipticLongitude(JD), CAAELP2000::EclipticLatitude(JD), 2451545.0, JD); + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(MoonPos.X - CAASun::ApparentEclipticLongitude(JD, true)); + break; + } +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + case Algorithm::ELPMPP02Nominal: + { + const CAA2DCoordinate MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::Nominal), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::Nominal), 2451545.0, JD); + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(MoonPos.X - CAASun::ApparentEclipticLongitude(JD, true)); + break; + } + case Algorithm::ELPMPP02LLR: + { + const CAA2DCoordinate MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::LLR), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::LLR), 2451545.0, JD); + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(MoonPos.X - CAASun::ApparentEclipticLongitude(JD, true)); + break; + } + case Algorithm::ELPMPP02DE405: + { + const CAA2DCoordinate MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE405), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE405), 2451545.0, JD); + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(MoonPos.X - CAASun::ApparentEclipticLongitude(JD, true)); + break; + } + case Algorithm::ELPMPP02DE406: + { + const CAA2DCoordinate MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE406), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE406), 2451545.0, JD); + ExcessApparentGeocentricLongitude = CAACoordinateTransformation::MapTo0To360Range(MoonPos.X - CAASun::ApparentEclipticLongitude(JD, true)); + break; + } +#endif //#ifndef AAPLUS_NO_ELPMPP02 + default: + { + assert(false); + break; + } + } + + if (LastExcessApparentGeocentricLongitude != -360) + { + if ((LastExcessApparentGeocentricLongitude > 270) && (ExcessApparentGeocentricLongitude >= 0) && (ExcessApparentGeocentricLongitude < 90)) + { + CAAMoonPhasesDetails2 event; + event.type = CAAMoonPhasesDetails2::Type::NewMoon; + const double fraction = (360 - LastExcessApparentGeocentricLongitude) / (ExcessApparentGeocentricLongitude + (360 - LastExcessApparentGeocentricLongitude)); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + if ((LastExcessApparentGeocentricLongitude < 90) && (ExcessApparentGeocentricLongitude >= 90)) + { + CAAMoonPhasesDetails2 event; + event.type = CAAMoonPhasesDetails2::Type::FirstQuarter; + const double fraction = (90 - LastExcessApparentGeocentricLongitude) / (ExcessApparentGeocentricLongitude - LastExcessApparentGeocentricLongitude); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastExcessApparentGeocentricLongitude < 180) && (ExcessApparentGeocentricLongitude >= 180)) + { + CAAMoonPhasesDetails2 event; + event.type = CAAMoonPhasesDetails2::Type::FullMoon; + const double fraction = (180 - LastExcessApparentGeocentricLongitude) / (ExcessApparentGeocentricLongitude - LastExcessApparentGeocentricLongitude); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastExcessApparentGeocentricLongitude < 270) && (ExcessApparentGeocentricLongitude >= 270)) + { + CAAMoonPhasesDetails2 event; + event.type = CAAMoonPhasesDetails2::Type::LastQuarter; + const double fraction = (270 - LastExcessApparentGeocentricLongitude) / (ExcessApparentGeocentricLongitude - LastExcessApparentGeocentricLongitude); + event.JD = LastJD0 + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastExcessApparentGeocentricLongitude = ExcessApparentGeocentricLongitude; + LastJD0 = JD; + JD += StepInterval; + } + + return events; +} diff --git a/Sources/AAPlus/AANeptune.cpp b/Sources/AAPlus/AANeptune.cpp new file mode 100644 index 0000000..cae76af --- /dev/null +++ b/Sources/AAPlus/AANeptune.cpp @@ -0,0 +1,408 @@ +/* +Module : AANeptune.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Neptune +Created: PJN / 29-12-2003 +History: PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the second coefficient used to calculate the B0 + term for the ecliptic latitude of Neptune. Thanks to Isaac Clark for + reporting this issue. Spot tests indicate that this change only affected the + ecliptic latitude in the sixth decimal place. + 2. Updated copyright details + PJN / 16-09-2015 1. CAANeptune::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AANeptune.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +////////////////////////// Includes /////////////////////////////////////////// + +#include "stdafx.h" +#include "AANeptune.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_NEP.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +////////////////////////// Macros / Defines /////////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0NeptuneCoefficients +{ { + { 531188633, 0, 0 }, + { 1798476, 2.9010127, 38.1330356 }, + { 1019728, 0.4858092, 1.4844727 }, + { 124532, 4.830081, 36.648563 }, + { 42064, 5.41055, 2.96895 }, + { 37715, 6.09222, 35.16409 }, + { 33785, 1.24489, 76.26607 }, + { 16483, 0.00008, 491.55793 }, + { 9199, 4.9375, 39.6175 }, + { 8994, 0.2746, 175.1661 }, + { 4216, 1.9871, 73.2971 }, + { 3365, 1.0359, 33.6796 }, + { 2285, 4.2061, 4.4534 }, + { 1434, 2.7834, 74.7816 }, + { 900, 2.076, 109.946 }, + { 745, 3.190, 71.813 }, + { 506, 5.748, 114.399 }, + { 400, 0.350, 1021.249 }, + { 345, 3.462, 41.102 }, + { 340, 3.304, 77.751 }, + { 323, 2.248, 32.195 }, + { 306, 0.497, 0.521 }, + { 287, 4.505, 0.048 }, + { 282, 2.246, 146.594 }, + { 267, 4.889, 0.963 }, + { 252, 5.782, 388.465 }, + { 245, 1.247, 9.561 }, + { 233, 2.505, 137.033 }, + { 227, 1.797, 453.425 }, + { 170, 3.324, 108.461 }, + { 151, 2.192, 33.940 }, + { 150, 2.997, 5.938 }, + { 148, 0.859, 111.430 }, + { 119, 3.677, 2.448 }, + { 109, 2.416, 183.243 }, + { 103, 0.041, 0.261 }, + { 103, 4.404, 70.328 }, + { 102, 5.705, 0.112 } +} }; + +constexpr array g_L1NeptuneCoefficients +{ { + { 3837687717.0, 0, 0 }, + { 16604, 4.86319, 1.48447 }, + { 15807, 2.27923, 38.13304 }, + { 3335, 3.6820, 76.2661 }, + { 1306, 3.6732, 2.9689 }, + { 605, 1.505, 35.164 }, + { 179, 3.453, 39.618 }, + { 107, 2.451, 4.453 }, + { 106, 2.755, 33.680 }, + { 73, 5.49, 36.65 }, + { 57, 1.86, 114.40 }, + { 57, 5.22, 0.52 }, + { 35, 4.52, 74.78 }, + { 32, 5.90, 77.75 }, + { 30, 3.67, 388.47 }, + { 29, 5.17, 9.56 }, + { 29, 5.17, 2.45 }, + { 26, 5.25, 168.05 } +} }; + +constexpr array g_L2NeptuneCoefficients +{ { + { 53893, 0, 0 }, + { 296, 1.855, 1.484 }, + { 281, 1.191, 38.133 }, + { 270, 5.721, 76.266 }, + { 23, 1.21, 2.97 }, + { 9, 4.43, 35.16 }, + { 7, 0.54, 2.45 } +} }; + +constexpr array g_L3NeptuneCoefficients +{ { + { 31, 0, 0 }, + { 15, 1.35, 76.27 }, + { 12, 6.04, 1.48 }, + { 12, 6.11, 38.13 } +} }; + +constexpr array g_L4NeptuneCoefficients +{ { + { 114, 3.142, 0 } +} }; + +constexpr array g_B0NeptuneCoefficients +{ { + { 3088623, 1.4410437, 38.1330356 }, + { 27780, 5.91272, 76.26607 }, + { 27624, 0, 0 }, + { 15448, 3.50877, 39.61751 }, + { 15355, 2.52124, 36.64856 }, + { 2000, 1.5100, 74.7816 }, + { 1968, 4.3778, 1.4845 }, + { 1015, 3.2156, 35.1641 }, + { 606, 2.802, 73.297 }, + { 595, 2.129, 41.102 }, + { 589, 3.187, 2.969 }, + { 402, 4.169, 114.399 }, + { 280, 1.682, 77.751 }, + { 262, 3.767, 213.299 }, + { 254, 3.271, 453.425 }, + { 206, 4.257, 529.691 }, + { 140, 3.530, 137.033 } +} }; + +constexpr array g_B1NeptuneCoefficients +{ { + { 227279, 3.807931, 38.133036 }, + { 1803, 1.9758, 76.2661 }, + { 1433, 3.1416, 0 }, + { 1386, 4.8256, 36.6486 }, + { 1073, 6.0805, 39.6175 }, + { 148, 3.858, 74.782 }, + { 136, 0.478, 1.484 }, + { 70, 6.19, 35.16 }, + { 52, 5.05, 73.30 }, + { 43, 0.31, 114.40 }, + { 37, 4.89, 41.10 }, + { 37, 5.76, 2.97 }, + { 26, 5.22, 213.30 } +} }; + +constexpr array g_B2NeptuneCoefficients +{ { + { 9691, 5.5712, 38.1330 }, + { 79, 3.63, 76.27 }, + { 72, 0.45, 36.65 }, + { 59, 3.14, 0 }, + { 30, 1.61, 39.62 }, + { 6, 5.61, 74.78 } +} }; + +constexpr array g_B3NeptuneCoefficients +{ { + { 273, 1.017, 38.133 }, + { 2, 0, 0 }, + { 2, 2.37, 36.65 }, + { 2, 5.33, 76.27 } +} }; + +constexpr array g_B4NeptuneCoefficients +{ { + { 6, 2.67, 38.13 } +} }; + +constexpr array g_R0NeptuneCoefficients +{ { + { 3007013206.0, 0, 0 }, + { 27062259, 1.32999459, 38.13303564 }, + { 1691764, 3.2518614, 36.6485629 }, + { 807831, 5.185928, 1.484473 }, + { 537761, 4.521139, 35.164090 }, + { 495726, 1.571057, 491.557929 }, + { 274572, 1.845523, 175.166060 }, + { 135134, 3.372206, 39.617508 }, + { 121802, 5.797544, 76.266071 }, + { 100895, 0.377027, 73.297126 }, + { 69792, 3.79617, 2.96895 }, + { 46688, 5.74938, 33.67962 }, + { 24594, 0.50802, 109.94569 }, + { 16939, 1.59422, 71.81265 }, + { 14230, 1.07786, 74.78160 }, + { 12012, 1.92062, 1021.24889 }, + { 8395, 0.6782, 146.5943 }, + { 7572, 1.0715, 388.4652 }, + { 5721, 2.5906, 4.4534 }, + { 4840, 1.9069, 41.1020 }, + { 4483, 2.9057, 529.6910 }, + { 4421, 1.7499, 108.4612 }, + { 4354, 0.6799, 32.1951 }, + { 4270, 3.4134, 453.4249 }, + { 3381, 0.8481, 183.2428 }, + { 2881, 1.9860, 137.0330 }, + { 2879, 3.6742, 350.3321 }, + { 2636, 3.0976, 213.2991 }, + { 2530, 5.7984, 490.0735 }, + { 2523, 0.4863, 493.0424 }, + { 2306, 2.8096, 70.3282 }, + { 2087, 0.6186, 33.9402 } +} }; + +constexpr array g_R1NeptuneCoefficients +{ { + { 236339, 0.704980, 38.133036 }, + { 13220, 3.32015, 1.48447 }, + { 8622, 6.2163, 35.1641 }, + { 2702, 1.8814, 39.6175 }, + { 2155, 2.0943, 2.9689 }, + { 2153, 5.1687, 76.2661 }, + { 1603, 0, 0 }, + { 1464, 1.1842, 33.6796 }, + { 1136, 3.9189, 36.6486 }, + { 898, 5.241, 388.465 }, + { 790, 0.533, 168.053 }, + { 760, 0.021, 182.280 }, + { 607, 1.077, 1021.249 }, + { 572, 3.401, 484.444 }, + { 561, 2.887, 498.671 } +} }; + +constexpr array g_R2NeptuneCoefficients +{ { + { 4247, 5.8991, 38.1330 }, + { 218, 0.346, 1.484 }, + { 163, 2.239, 168.053 }, + { 156, 4.594, 182.280 }, + { 127, 2.848, 35.164 } +} }; + +constexpr array g_R3NeptuneCoefficients +{ { + { 166, 4.552, 38.133 } +} }; + + +///////////////////////////// Implementation ////////////////////////////////// + +double CAANeptune::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Neptune::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0NeptuneCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1NeptuneCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2NeptuneCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3NeptuneCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4NeptuneCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAANeptune::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Neptune::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0NeptuneCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1NeptuneCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2NeptuneCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3NeptuneCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4NeptuneCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAANeptune::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Neptune::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0NeptuneCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1NeptuneCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2NeptuneCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3NeptuneCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + return (R0 + (R1*rho) + (R2*rhosquared) + (R3*rhocubed)) / 100000000; +} diff --git a/Vendor/AA+/1.6.3/AANodes.cpp b/Sources/AAPlus/AANodes.cpp old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AANodes.cpp rename to Sources/AAPlus/AANodes.cpp index 69c75bc..ff9b407 --- a/Vendor/AA+/1.6.3/AANodes.cpp +++ b/Sources/AAPlus/AANodes.cpp @@ -1,10 +1,10 @@ /* -Module : AANODES.CPP -Purpose: Implementation for the algorithms which calculate passage thro the nodes +Module : AANodes.cpp +Purpose: Implementation for the algorithms which calculate passage through the nodes Created: PJN / 29-12-2003 -History: None +History: PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,14 +30,14 @@ using namespace std; ///////////////////////////// Implementation ////////////////////////////////// -CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAEllipticalObjectElements& elements) +CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAEllipticalObjectElements& elements) noexcept { double v = CAACoordinateTransformation::MapTo0To360Range(-elements.w); v = CAACoordinateTransformation::DegreesToRadians(v); - double E = atan(sqrt((1 - elements.e) / (1 + elements.e)) * tan(v/2))*2; + const double E = atan(sqrt((1 - elements.e) / (1 + elements.e)) * tan(v/2))*2; double M = E - elements.e*sin(E); M = CAACoordinateTransformation::RadiansToDegrees(M); - double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); + const double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); CAANodeObjectDetails details; details.t = elements.T + M/n; @@ -46,14 +46,14 @@ CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAEllipticalObjec return details; } -CAANodeObjectDetails CAANodes::PassageThroDescendingNode(const CAAEllipticalObjectElements& elements) +CAANodeObjectDetails CAANodes::PassageThroDescendingNode(const CAAEllipticalObjectElements& elements) noexcept { double v = CAACoordinateTransformation::MapTo0To360Range(180 - elements.w); v = CAACoordinateTransformation::DegreesToRadians(v); - double E = atan(sqrt((1 - elements.e) / (1 + elements.e)) * tan(v/2))*2; + const double E = atan(sqrt((1 - elements.e) / (1 + elements.e)) * tan(v/2))*2; double M = E - elements.e*sin(E); M = CAACoordinateTransformation::RadiansToDegrees(M); - double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); + const double n = CAAElliptical::MeanMotionFromSemiMajorAxis(elements.a); CAANodeObjectDetails details; details.t = elements.T + M/n; @@ -62,12 +62,12 @@ CAANodeObjectDetails CAANodes::PassageThroDescendingNode(const CAAEllipticalObje return details; } -CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAParabolicObjectElements& elements) +CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAParabolicObjectElements& elements) noexcept { double v = CAACoordinateTransformation::MapTo0To360Range(-elements.w); v = CAACoordinateTransformation::DegreesToRadians(v); - double s = tan(v / 2); - double s2 = s*s; + const double s = tan(v / 2); + const double s2 = s*s; CAANodeObjectDetails details; details.t = elements.T + 27.403895*(s2*s + 3*s)*elements.q*sqrt(elements.q); @@ -76,13 +76,13 @@ CAANodeObjectDetails CAANodes::PassageThroAscendingNode(const CAAParabolicObject return details; } -CAANodeObjectDetails CAANodes::PassageThroDescendingNode(const CAAParabolicObjectElements& elements) +CAANodeObjectDetails CAANodes::PassageThroDescendingNode(const CAAParabolicObjectElements& elements) noexcept { double v = CAACoordinateTransformation::MapTo0To360Range(180 - elements.w); v = CAACoordinateTransformation::DegreesToRadians(v); - double s = tan(v / 2); - double s2 = s*s; + const double s = tan(v / 2); + const double s2 = s*s; CAANodeObjectDetails details; details.t = elements.T + 27.403895*(s2*s + 3*s)*elements.q*sqrt(elements.q); diff --git a/Vendor/AA+/1.6.3/AANutation.cpp b/Sources/AAPlus/AANutation.cpp old mode 100755 new mode 100644 similarity index 66% rename from Vendor/AA+/1.6.3/AANutation.cpp rename to Sources/AAPlus/AANutation.cpp index f2e3c68..e8b5330 --- a/Vendor/AA+/1.6.3/AANutation.cpp +++ b/Sources/AAPlus/AANutation.cpp @@ -1,13 +1,15 @@ /* -Module : AANUTATION.CPP +Module : AANutation.cpp Purpose: Implementation for the algorithms for Nutation Created: PJN / 29-12-2003 History: PJN / 10-05-2010 1. Removed the unused Delta parameter from the CAANutation::NutationInDeclination method. Thanks to Thomas Meyer for reporting this issue. PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this issue when compiling AA+ on ARM. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 15-04-2020 1. Reworked C arrays to use std::array -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -28,26 +30,31 @@ to maintain a single distribution point for the source code. #include "AANutation.h" #include "AACoordinateTransformation.h" #include +#include using namespace std; //////////////////////////// Macros / Defines ///////////////////////////////// +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482) +#endif //#ifdef _MSC_VER + struct NutationCoefficient { int D; int M; int Mprime; int F; - int omega; + int omega; int sincoeff1; double sincoeff2; int coscoeff1; double coscoeff2; }; -const NutationCoefficient g_NutationCoefficients[] = -{ +constexpr array g_NutationCoefficients +{ { { 0, 0, 0, 0, 1, -171996, -174.2, 92025, 8.9 }, { -2, 0, 0, 2, 2, -13187, -1.6, 5736, -3.1 }, { 0, 0, 0, 2, 2, -2274, -0.2, 977, -0.5 }, @@ -110,124 +117,117 @@ const NutationCoefficient g_NutationCoefficients[] = { 0, -1, 1, 2, 2, -3, 0, 0, 0 }, { 2, -1, -1, 2, 2, -3, 0, 0, 0 }, { 0, 0, 3, 2, 2, -3, 0, 0, 0 }, - { 2, -1, 0, 2, 2, -3, 0, 0, 0 }, -}; + { 2, -1, 0, 2, 2, -3, 0, 0, 0 } +} }; ///////////////////////////// Implementation ////////////////////////////////// -double CAANutation::NutationInLongitude(double JD) +double CAANutation::NutationInLongitude(double JD) noexcept { - double T = (JD - 2451545) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double Tcubed = Tsquared*T; - double D = 297.85036 + 445267.111480*T - 0.0019142*Tsquared + Tcubed / 189474; + double D = 297.85036 + (445267.111480*T) - (0.0019142*Tsquared) + (Tcubed / 189474); D = CAACoordinateTransformation::MapTo0To360Range(D); - double M = 357.52772 + 35999.050340*T - 0.0001603*Tsquared - Tcubed / 300000; + double M = 357.52772 + (35999.050340*T) - (0.0001603*Tsquared) - (Tcubed / 300000); M = CAACoordinateTransformation::MapTo0To360Range(M); - double Mprime = 134.96298 + 477198.867398*T + 0.0086972*Tsquared + Tcubed / 56250; + double Mprime = 134.96298 + (477198.867398*T) + (0.0086972*Tsquared) + (Tcubed / 56250); Mprime = CAACoordinateTransformation::MapTo0To360Range(Mprime); - double F = 93.27191 + 483202.017538*T - 0.0036825*Tsquared + Tcubed / 327270; + double F = 93.27191 + (483202.017538*T) - (0.0036825*Tsquared) + (Tcubed / 327270); F = CAACoordinateTransformation::MapTo0To360Range(F); - double omega = 125.04452 - 1934.136261*T + 0.0020708*Tsquared + Tcubed / 450000; + double omega = 125.04452 - (1934.136261*T) + (0.0020708*Tsquared) + (Tcubed / 450000); omega = CAACoordinateTransformation::MapTo0To360Range(omega); - int nCoefficients = sizeof(g_NutationCoefficients) / sizeof(NutationCoefficient); double value = 0; - for (int i=0; i 0.000001); @@ -64,7 +65,7 @@ double CAAParabolic::CalculateBarkers(double W) return S; } -CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicObjectElements& elements, bool bHighPrecision) +CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicObjectElements& elements, bool bHighPrecision) noexcept { double Epsilon = CAANutation::MeanObliquityOfEcliptic(elements.JDEquinox); @@ -74,41 +75,41 @@ CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicO CAAParabolicObjectDetails details; Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); - double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); - double w = CAACoordinateTransformation::DegreesToRadians(elements.w); - double i = CAACoordinateTransformation::DegreesToRadians(elements.i); - - double sinEpsilon = sin(Epsilon); - double cosEpsilon = cos(Epsilon); - double sinOmega = sin(omega); - double cosOmega = cos(omega); - double cosi = cos(i); - double sini = sin(i); - - double F = cosOmega; - double G = sinOmega * cosEpsilon; - double H = sinOmega * sinEpsilon; - double P = -sinOmega * cosi; - double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; - double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; - double a = sqrt(F*F + P*P); - double b = sqrt(G*G + Q*Q); - double c = sqrt(H*H + R*R); - double A = atan2(F, P); - double B = atan2(G, Q); - double C = atan2(H, R); - - CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); + const double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); + const double w = CAACoordinateTransformation::DegreesToRadians(elements.w); + const double i = CAACoordinateTransformation::DegreesToRadians(elements.i); + + const double sinEpsilon = sin(Epsilon); + const double cosEpsilon = cos(Epsilon); + const double sinOmega = sin(omega); + const double cosOmega = cos(omega); + const double cosi = cos(i); + const double sini = sin(i); + + const double F = cosOmega; + const double G = sinOmega * cosEpsilon; + const double H = sinOmega * sinEpsilon; + const double P = -sinOmega * cosi; + const double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; + const double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; + const double a = sqrt(F*F + P*P); + const double b = sqrt(G*G + Q*Q); + const double c = sqrt(H*H + R*R); + const double A = atan2(F, P); + const double B = atan2(G, Q); + const double C = atan2(H, R); + + const CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); for (int j=0; j<2; j++) { - double W = 0.03649116245/(elements.q * sqrt(elements.q)) * (JD0 - elements.T); - double s = CalculateBarkers(W); - double v = 2*atan(s); - double r = elements.q * (1 + s*s); - double x = r * a * sin(A + w + v); - double y = r * b * sin(B + w + v); - double z = r * c * sin(C + w + v); + const double W = 0.03649116245/(elements.q * sqrt(elements.q)) * (JD0 - elements.T); + const double s = CalculateBarkers(W); + const double v = 2*atan(s); + const double r = elements.q * (1 + s*s); + const double x = r * a * sin(A + w + v); + const double y = r * b * sin(B + w + v); + const double z = r * c * sin(C + w + v); if (j == 0) { @@ -117,9 +118,9 @@ CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicO details.HeliocentricRectangularEquatorial.Z = z; //Calculate the heliocentric ecliptic coordinates also - double u = w + v; - double cosu = cos(u); - double sinu = sin(u); + const double u = w + v; + const double cosu = cos(u); + const double sinu = sin(u); details.HeliocentricRectangularEcliptical.X = r * (cosOmega*cosu - sinOmega*sinu*cosi); details.HeliocentricRectangularEcliptical.Y = r * (sinOmega*cosu + cosOmega*sinu*cosi); @@ -129,15 +130,15 @@ CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicO details.HeliocentricEclipticLatitude = CAACoordinateTransformation::RadiansToDegrees(asin(details.HeliocentricRectangularEcliptical.Z / r)); } - double psi = SunCoord.X + x; - double nu = SunCoord.Y + y; - double sigma = SunCoord.Z + z; + const double psi = SunCoord.X + x; + const double nu = SunCoord.Y + y; + const double sigma = SunCoord.Z + z; double Alpha = atan2(nu, psi); Alpha = CAACoordinateTransformation::RadiansToDegrees(Alpha); double Delta = atan2(sigma, sqrt(psi*psi + nu*nu)); Delta = CAACoordinateTransformation::RadiansToDegrees(Delta); - double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); + const double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); if (j == 0) { @@ -153,7 +154,7 @@ CAAParabolicObjectDetails CAAParabolic::Calculate(double JD, const CAAParabolicO details.AstrometricGeocentricDistance = Distance; details.AstrometricGeocentricLightTime = CAAElliptical::DistanceToLightTime(Distance); - double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); + const double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); details.Elongation = CAACoordinateTransformation::RadiansToDegrees(acos((RES*RES + Distance*Distance - r*r) / (2 * RES * Distance))); details.PhaseAngle = CAACoordinateTransformation::RadiansToDegrees(acos((r*r + Distance*Distance - RES*RES) / (2 * r * Distance))); diff --git a/Vendor/AA+/1.6.3/AAParallactic.cpp b/Sources/AAPlus/AAParallactic.cpp old mode 100755 new mode 100644 similarity index 71% rename from Vendor/AA+/1.6.3/AAParallactic.cpp rename to Sources/AAPlus/AAParallactic.cpp index fcc4923..85534f3 --- a/Vendor/AA+/1.6.3/AAParallactic.cpp +++ b/Sources/AAPlus/AAParallactic.cpp @@ -1,10 +1,10 @@ /* -Module : AAPARALLACTIC.CPP +Module : AAParallactic.cpp Purpose: Implementation for the algorithms which calculate various celestial globe angles Created: PJN / 29-12-2003 -History: None +History: PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,7 +30,7 @@ using namespace std; ////////////////////// Implementation ///////////////////////////////////////// -double CAAParallactic::ParallacticAngle(double HourAngle, double Latitude, double delta) +double CAAParallactic::ParallacticAngle(double HourAngle, double Latitude, double delta) noexcept { HourAngle = CAACoordinateTransformation::HoursToRadians(HourAngle); Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); @@ -39,32 +39,32 @@ double CAAParallactic::ParallacticAngle(double HourAngle, double Latitude, doubl return CAACoordinateTransformation::RadiansToDegrees(atan2(sin(HourAngle), tan(Latitude)*cos(delta) - sin(delta)*cos(HourAngle))); } -double CAAParallactic::EclipticLongitudeOnHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) +double CAAParallactic::EclipticLongitudeOnHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) noexcept { LocalSiderealTime = CAACoordinateTransformation::HoursToRadians(LocalSiderealTime); Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); ObliquityOfEcliptic = CAACoordinateTransformation::DegreesToRadians(ObliquityOfEcliptic); - double value = CAACoordinateTransformation::RadiansToDegrees(atan2(-cos(LocalSiderealTime), sin(ObliquityOfEcliptic)*tan(Latitude) + cos(ObliquityOfEcliptic)*sin(LocalSiderealTime))); + const double value = CAACoordinateTransformation::RadiansToDegrees(atan2(-cos(LocalSiderealTime), sin(ObliquityOfEcliptic)*tan(Latitude) + cos(ObliquityOfEcliptic)*sin(LocalSiderealTime))); return CAACoordinateTransformation::MapTo0To360Range(value); } -double CAAParallactic::AngleBetweenEclipticAndHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) +double CAAParallactic::AngleBetweenEclipticAndHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) noexcept { LocalSiderealTime = CAACoordinateTransformation::HoursToRadians(LocalSiderealTime); Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); ObliquityOfEcliptic = CAACoordinateTransformation::DegreesToRadians(ObliquityOfEcliptic); - double value = CAACoordinateTransformation::RadiansToDegrees(acos(cos(ObliquityOfEcliptic)*sin(Latitude) - sin(ObliquityOfEcliptic)*cos(Latitude)*sin(LocalSiderealTime))); + const double value = CAACoordinateTransformation::RadiansToDegrees(acos(cos(ObliquityOfEcliptic)*sin(Latitude) - sin(ObliquityOfEcliptic)*cos(Latitude)*sin(LocalSiderealTime))); return CAACoordinateTransformation::MapTo0To360Range(value); } -double CAAParallactic::AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double Lambda, double Beta, double ObliquityOfEcliptic) +double CAAParallactic::AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double Lambda, double Beta, double ObliquityOfEcliptic) noexcept { Lambda = CAACoordinateTransformation::DegreesToRadians(Lambda); Beta = CAACoordinateTransformation::DegreesToRadians(Beta); ObliquityOfEcliptic = CAACoordinateTransformation::DegreesToRadians(ObliquityOfEcliptic); - double value = CAACoordinateTransformation::RadiansToDegrees(atan2(cos(Lambda)*tan(ObliquityOfEcliptic), sin(Beta)*sin(Lambda)*tan(ObliquityOfEcliptic) - cos(Beta))); + const double value = CAACoordinateTransformation::RadiansToDegrees(atan2(cos(Lambda)*tan(ObliquityOfEcliptic), sin(Beta)*sin(Lambda)*tan(ObliquityOfEcliptic) - cos(Beta))); return CAACoordinateTransformation::MapTo0To360Range(value); } diff --git a/Vendor/AA+/1.6.3/AAPhysicalJupiter.cpp b/Sources/AAPlus/AAPhysicalJupiter.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AAPhysicalJupiter.cpp rename to Sources/AAPlus/AAPhysicalJupiter.cpp index 6f98226..fc947b9 --- a/Vendor/AA+/1.6.3/AAPhysicalJupiter.cpp +++ b/Sources/AAPlus/AAPhysicalJupiter.cpp @@ -1,12 +1,13 @@ /* -Module : AAPHYSICALJUPITER.CPP -Purpose: Implementation for the algorithms which obtain the physical parameters of the Jupiter +Module : AAPhysicalJupiter.cpp +Purpose: Implementation for the algorithms which obtain the physical parameters of Jupiter Created: PJN / 29-12-2003 History: PJN / 16-09-2015 1. CAAPhysicalJupiter::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -35,36 +36,36 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPrecision) +CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPrecision) noexcept { //What will be the return value CAAPhysicalJupiterDetails details; //Step 1 - double d = JD - 2433282.5; - double T1 = d/36525; - double alpha0 = 268.00 + 0.1061*T1; - double alpha0rad = CAACoordinateTransformation::DegreesToRadians(alpha0); - double delta0 = 64.50 - 0.0164*T1; - double delta0rad = CAACoordinateTransformation::DegreesToRadians(delta0); + const double d = JD - 2433282.5; + const double T1 = d/36525; + const double alpha0 = 268.00 + 0.1061*T1; + const double alpha0rad = CAACoordinateTransformation::DegreesToRadians(alpha0); + const double delta0 = 64.50 - 0.0164*T1; + const double delta0rad = CAACoordinateTransformation::DegreesToRadians(delta0); //Step 2 - double W1 = CAACoordinateTransformation::MapTo0To360Range(17.710 + 877.90003539*d); - double W2 = CAACoordinateTransformation::MapTo0To360Range(16.838 + 870.27003539*d); - + const double W1 = CAACoordinateTransformation::MapTo0To360Range(17.710 + 877.90003539*d); + const double W2 = CAACoordinateTransformation::MapTo0To360Range(16.838 + 870.27003539*d); + //Step 3 - double l0 = CAAEarth::EclipticLongitude(JD, bHighPrecision); - double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); - double b0 = CAAEarth::EclipticLatitude(JD, bHighPrecision); - double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double l0 = CAAEarth::EclipticLongitude(JD, bHighPrecision); + const double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); + const double b0 = CAAEarth::EclipticLatitude(JD, bHighPrecision); + const double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); //Step 4 double l = CAAJupiter::EclipticLongitude(JD, bHighPrecision); double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAAJupiter::EclipticLatitude(JD, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAAJupiter::RadiusVector(JD, bHighPrecision); + const double b = CAAJupiter::EclipticLatitude(JD, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAAJupiter::RadiusVector(JD, bHighPrecision); //Step 5 double x = r*cos(brad)*cos(lrad) - R*cos(l0rad); @@ -87,20 +88,20 @@ CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPre double e0rad = CAACoordinateTransformation::DegreesToRadians(e0); //Step 9 - double alphas = atan2(cos(e0rad)*sin(lrad) - sin(e0rad)*tan(brad), cos(lrad)); - double deltas = asin(cos(e0rad)*sin(brad) + sin(e0rad)*cos(brad)*sin(lrad)); + const double alphas = atan2(cos(e0rad)*sin(lrad) - sin(e0rad)*tan(brad), cos(lrad)); + const double deltas = asin(cos(e0rad)*sin(brad) + sin(e0rad)*cos(brad)*sin(lrad)); //Step 10 details.DS = CAACoordinateTransformation::RadiansToDegrees(asin(-sin(delta0rad)*sin(deltas) - cos(delta0rad)*cos(deltas)*cos(alpha0rad - alphas))); //Step 11 - double u = y*cos(e0rad) - z*sin(e0rad); - double v = y*sin(e0rad) + z*cos(e0rad); + const double u = y*cos(e0rad) - z*sin(e0rad); + const double v = y*sin(e0rad) + z*cos(e0rad); double alpharad = atan2(u, x); double alpha = CAACoordinateTransformation::RadiansToDegrees(alpharad); - double deltarad = atan2(v, sqrt(x*x + u*u)); + const double deltarad = atan2(v, sqrt(x*x + u*u)); double delta = CAACoordinateTransformation::RadiansToDegrees(deltarad); - double xi = atan2(sin(delta0rad)*cos(deltarad)*cos(alpha0rad - alpharad) - sin(deltarad)*cos(delta0rad), cos(deltarad)*sin(alpha0rad - alpharad)); + const double xi = atan2(sin(delta0rad)*cos(deltarad)*cos(alpha0rad - alpharad) - sin(deltarad)*cos(delta0rad), cos(deltarad)*sin(alpha0rad - alpharad)); //Step 12 details.DE = CAACoordinateTransformation::RadiansToDegrees(asin(-sin(delta0rad)*sin(deltarad) - cos(delta0rad)*cos(deltarad)*cos(alpha0rad - alpharad))); @@ -110,7 +111,7 @@ CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPre details.Geometricw2 = CAACoordinateTransformation::MapTo0To360Range(W2 - CAACoordinateTransformation::RadiansToDegrees(xi) - 5.02626*DELTA); //Step 14 - double C = 57.2958 * (2*r*DELTA + R*R - r*r - DELTA*DELTA)/(4*r*DELTA); + const double C = 57.2958 * (2*r*DELTA + R*R - r*r - DELTA*DELTA)/(4*r*DELTA); if (sin(lrad - l0rad) > 0) { details.Apparentw1 = CAACoordinateTransformation::MapTo0To360Range(details.Geometricw1 + C); @@ -123,8 +124,8 @@ CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPre } //Step 15 - double NutationInLongitude = CAANutation::NutationInLongitude(JD); - double NutationInObliquity = CAANutation::NutationInObliquity(JD); + const double NutationInLongitude = CAANutation::NutationInLongitude(JD); + const double NutationInObliquity = CAANutation::NutationInObliquity(JD); e0 += NutationInObliquity/3600; e0rad = CAACoordinateTransformation::DegreesToRadians(e0); @@ -136,17 +137,17 @@ CAAPhysicalJupiterDetails CAAPhysicalJupiter::Calculate(double JD, bool bHighPre //Step 17 double NutationRA = CAANutation::NutationInRightAscension(alpha/15, delta, e0, NutationInLongitude, NutationInObliquity); - double alphadash = alpha + NutationRA/3600; - double alphadashrad = CAACoordinateTransformation::DegreesToRadians(alphadash); + const double alphadash = alpha + NutationRA/3600; + const double alphadashrad = CAACoordinateTransformation::DegreesToRadians(alphadash); double NutationDec = CAANutation::NutationInDeclination(alpha/15, e0, NutationInLongitude, NutationInObliquity); - double deltadash = delta + NutationDec/3600; - double deltadashrad = CAACoordinateTransformation::DegreesToRadians(deltadash); + const double deltadash = delta + NutationDec/3600; + const double deltadashrad = CAACoordinateTransformation::DegreesToRadians(deltadash); NutationRA = CAANutation::NutationInRightAscension(alpha0/15, delta0, e0, NutationInLongitude, NutationInObliquity); - double alpha0dash = alpha0 + NutationRA/3600; - double alpha0dashrad = CAACoordinateTransformation::DegreesToRadians(alpha0dash); + const double alpha0dash = alpha0 + NutationRA/3600; + const double alpha0dashrad = CAACoordinateTransformation::DegreesToRadians(alpha0dash); NutationDec = CAANutation::NutationInDeclination(alpha0/15, e0, NutationInLongitude, NutationInObliquity); - double delta0dash = delta0 + NutationDec/3600; - double delta0dashrad = CAACoordinateTransformation::DegreesToRadians(delta0dash); + const double delta0dash = delta0 + NutationDec/3600; + const double delta0dashrad = CAACoordinateTransformation::DegreesToRadians(delta0dash); //Step 18 details.P = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(atan2(cos(delta0dashrad)*sin(alpha0dashrad - alphadashrad), sin(delta0dashrad)*cos(deltadashrad) - cos(delta0dashrad)*sin(deltadashrad)*cos(alpha0dashrad - alphadashrad)))); diff --git a/Vendor/AA+/1.6.3/AAPhysicalMars.cpp b/Sources/AAPlus/AAPhysicalMars.cpp old mode 100755 new mode 100644 similarity index 53% rename from Vendor/AA+/1.6.3/AAPhysicalMars.cpp rename to Sources/AAPlus/AAPhysicalMars.cpp index 8b2395f..3b610bb --- a/Vendor/AA+/1.6.3/AAPhysicalMars.cpp +++ b/Sources/AAPlus/AAPhysicalMars.cpp @@ -1,13 +1,13 @@ /* -Module : AAPHYSICALMARS.CPP +Module : AAPhysicalMars.cpp Purpose: Implementation for the algorithms which obtain the physical parameters of Mars Created: PJN / 04-01-2004 History: PJN / 16-09-2015 1. CAAPhysicalMars::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -40,24 +40,24 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -CAAPhysicalMarsDetails CAAPhysicalMars::Calculate(double JD, bool bHighPrecision) +CAAPhysicalMarsDetails CAAPhysicalMars::Calculate(double JD, bool bHighPrecision) noexcept { //What will be the return value CAAPhysicalMarsDetails details; //Step 1 - double T = (JD - 2451545) / 36525; + const double T = (JD - 2451545) / 36525; double Lambda0 = 352.9065 + 1.17330*T; - double Lambda0rad = CAACoordinateTransformation::DegreesToRadians(Lambda0); - double Beta0 = 63.2818 - 0.00394*T; - double Beta0rad = CAACoordinateTransformation::DegreesToRadians(Beta0); + const double Lambda0rad = CAACoordinateTransformation::DegreesToRadians(Lambda0); + const double Beta0 = 63.2818 - 0.00394*T; + const double Beta0rad = CAACoordinateTransformation::DegreesToRadians(Beta0); //Step 2 - double l0 = CAAEarth::EclipticLongitude(JD, bHighPrecision); - double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); - double b0 = CAAEarth::EclipticLatitude(JD, bHighPrecision); - double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double l0 = CAAEarth::EclipticLongitude(JD, bHighPrecision); + const double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); + const double b0 = CAAEarth::EclipticLatitude(JD, bHighPrecision); + const double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); double PreviousLightTravelTime = 0; double LightTravelTime = 0; @@ -72,13 +72,13 @@ CAAPhysicalMarsDetails CAAPhysicalMars::Calculate(double JD, bool bHighPrecision double r = 0; while (bIterate) { - double JD2 = JD - LightTravelTime; + const double JD2 = JD - LightTravelTime; //Step 3 l = CAAMars::EclipticLongitude(JD2, bHighPrecision); lrad = CAACoordinateTransformation::DegreesToRadians(l); b = CAAMars::EclipticLatitude(JD2, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); r = CAAMars::RadiusVector(JD2, bHighPrecision); //Step 4 @@ -89,57 +89,57 @@ CAAPhysicalMarsDetails CAAPhysicalMars::Calculate(double JD, bool bHighPrecision LightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2E-6); //2E-6 correponds to 0.17 of a second + bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2e-6); //2e-6 correponds to 0.17 of a second if (bIterate) PreviousLightTravelTime = LightTravelTime; } //Step 5 - double lambdarad = atan2(y, x); + const double lambdarad = atan2(y, x); double lambda = CAACoordinateTransformation::RadiansToDegrees(lambdarad); - double betarad = atan2(z, sqrt(x*x + y*y)); + const double betarad = atan2(z, sqrt(x*x + y*y)); double beta = CAACoordinateTransformation::RadiansToDegrees(betarad); //Step 6 details.DE = CAACoordinateTransformation::RadiansToDegrees(asin(-sin(Beta0rad)*sin(betarad) - cos(Beta0rad)*cos(betarad)*cos(Lambda0rad - lambdarad))); //Step 7 - double N = 49.5581 + 0.7721*T; - double Nrad = CAACoordinateTransformation::DegreesToRadians(N); + const double N = 49.5581 + 0.7721*T; + const double Nrad = CAACoordinateTransformation::DegreesToRadians(N); - double ldash = l - 0.00697/r; - double ldashrad = CAACoordinateTransformation::DegreesToRadians(ldash); - double bdash = b - 0.000225*(cos(lrad - Nrad)/r); - double bdashrad = CAACoordinateTransformation::DegreesToRadians(bdash); + const double ldash = l - 0.00697/r; + const double ldashrad = CAACoordinateTransformation::DegreesToRadians(ldash); + const double bdash = b - 0.000225*(cos(lrad - Nrad)/r); + const double bdashrad = CAACoordinateTransformation::DegreesToRadians(bdash); //Step 8 details.DS = CAACoordinateTransformation::RadiansToDegrees(asin(-sin(Beta0rad)*sin(bdashrad) - cos(Beta0rad)*cos(bdashrad)*cos(Lambda0rad - ldashrad))); //Step 9 - double W = CAACoordinateTransformation::MapTo0To360Range(11.504 + 350.89200025*(JD - LightTravelTime - 2433282.5)); + const double W = CAACoordinateTransformation::MapTo0To360Range(11.504 + 350.89200025*(JD - LightTravelTime - 2433282.5)); //Step 10 double e0 = CAANutation::MeanObliquityOfEcliptic(JD); - double e0rad = CAACoordinateTransformation::DegreesToRadians(e0); - CAA2DCoordinate PoleEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Lambda0, Beta0, e0); - double alpha0rad = CAACoordinateTransformation::HoursToRadians(PoleEquatorial.X); - double delta0rad = CAACoordinateTransformation::DegreesToRadians(PoleEquatorial.Y); + const double e0rad = CAACoordinateTransformation::DegreesToRadians(e0); + const CAA2DCoordinate PoleEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Lambda0, Beta0, e0); + const double alpha0rad = CAACoordinateTransformation::HoursToRadians(PoleEquatorial.X); + const double delta0rad = CAACoordinateTransformation::DegreesToRadians(PoleEquatorial.Y); //Step 11 - double u = y*cos(e0rad) - z*sin(e0rad); - double v = y*sin(e0rad) + z*cos(e0rad); - double alpharad = atan2(u, x); - double alpha = CAACoordinateTransformation::RadiansToHours(alpharad); - double deltarad = atan2(v, sqrt(x*x + u*u)); - double delta = CAACoordinateTransformation::RadiansToDegrees(deltarad); - double xi = atan2(sin(delta0rad)*cos(deltarad)*cos(alpha0rad - alpharad) - sin(deltarad)*cos(delta0rad), cos(deltarad)*sin(alpha0rad - alpharad)); + const double u = y*cos(e0rad) - z*sin(e0rad); + const double v = y*sin(e0rad) + z*cos(e0rad); + const double alpharad = atan2(u, x); + const double alpha = CAACoordinateTransformation::RadiansToHours(alpharad); + const double deltarad = atan2(v, sqrt(x*x + u*u)); + const double delta = CAACoordinateTransformation::RadiansToDegrees(deltarad); + const double xi = atan2(sin(delta0rad)*cos(deltarad)*cos(alpha0rad - alpharad) - sin(deltarad)*cos(delta0rad), cos(deltarad)*sin(alpha0rad - alpharad)); //Step 12 details.w = CAACoordinateTransformation::MapTo0To360Range(W - CAACoordinateTransformation::RadiansToDegrees(xi)); //Step 13 - double NutationInLongitude = CAANutation::NutationInLongitude(JD); - double NutationInObliquity = CAANutation::NutationInObliquity(JD); + const double NutationInLongitude = CAANutation::NutationInLongitude(JD); + const double NutationInObliquity = CAANutation::NutationInObliquity(JD); //Step 14 lambda += 0.005693*cos(l0rad - lambdarad)/cos(betarad); @@ -151,20 +151,20 @@ CAAPhysicalMarsDetails CAAPhysicalMars::Calculate(double JD, bool bHighPrecision e0 += NutationInObliquity/3600; //Step 16 - CAA2DCoordinate ApparentPoleEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Lambda0, Beta0, e0); - double alpha0dash = CAACoordinateTransformation::HoursToRadians(ApparentPoleEquatorial.X); - double delta0dash = CAACoordinateTransformation::DegreesToRadians(ApparentPoleEquatorial.Y); - CAA2DCoordinate ApparentMars = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, e0); - double alphadash = CAACoordinateTransformation::HoursToRadians(ApparentMars.X); - double deltadash = CAACoordinateTransformation::DegreesToRadians(ApparentMars.Y); + const CAA2DCoordinate ApparentPoleEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Lambda0, Beta0, e0); + const double alpha0dash = CAACoordinateTransformation::HoursToRadians(ApparentPoleEquatorial.X); + const double delta0dash = CAACoordinateTransformation::DegreesToRadians(ApparentPoleEquatorial.Y); + const CAA2DCoordinate ApparentMars = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, e0); + const double alphadash = CAACoordinateTransformation::HoursToRadians(ApparentMars.X); + const double deltadash = CAACoordinateTransformation::DegreesToRadians(ApparentMars.Y); //Step 17 details.P = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(atan2(cos(delta0dash)*sin(alpha0dash - alphadash), sin(delta0dash)*cos(deltadash) - cos(delta0dash)*sin(deltadash)*cos(alpha0dash - alphadash)))); //Step 18 - double SunLambda = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); - double SunBeta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); - CAA2DCoordinate SunEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLambda, SunBeta, e0); + const double SunLambda = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); + const double SunBeta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); + const CAA2DCoordinate SunEquatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLambda, SunBeta, e0); details.X = CAAMoonIlluminatedFraction::PositionAngle(SunEquatorial.X, SunEquatorial.Y, alpha, delta); //Step 19 diff --git a/Vendor/AA+/1.6.3/AAPhysicalMoon.cpp b/Sources/AAPlus/AAPhysicalMoon.cpp old mode 100755 new mode 100644 similarity index 59% rename from Vendor/AA+/1.6.3/AAPhysicalMoon.cpp rename to Sources/AAPlus/AAPhysicalMoon.cpp index f130995..5570f58 --- a/Vendor/AA+/1.6.3/AAPhysicalMoon.cpp +++ b/Sources/AAPlus/AAPhysicalMoon.cpp @@ -1,5 +1,5 @@ /* -Module : AAPHYSICALMOON.CPP +Module : AAPhysicalMoon.cpp Purpose: Implementation for the algorithms which obtain the physical parameters of the Moon Created: PJN / 17-01-2004 History: PJN / 19-02-2004 1. The optical libration in longitude is now returned in the range -180 - 180 degrees @@ -9,8 +9,12 @@ History: PJN / 19-02-2004 1. The optical libration in longitude is now returned and TimeOfSunset methods now include a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 06-11-2021 1. Fixed a bug in CAAPhysicalMoon::CalculateOpticalLibration where the value of the + variable "W" was being calculated incorrectly. Thanks to Don Cross for reporting this + issue. -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -40,27 +44,27 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -void CAAPhysicalMoon::CalculateOpticalLibration(double JD, double Lambda, double Beta, double& ldash, double& bdash, double& ldash2, double& bdash2, double& epsilon, double& omega, double& DeltaU, double& sigma, double& I, double& rho) +void CAAPhysicalMoon::CalculateOpticalLibration(double JD, double Lambda, double Beta, double& ldash, double& bdash, double& ldash2, double& bdash2, double& epsilon, double& omega, double& DeltaU, double& sigma, double& I, double& rho) noexcept { //Calculate the initial quantities - double Lambdarad = CAACoordinateTransformation::DegreesToRadians(Lambda); - double Betarad = CAACoordinateTransformation::DegreesToRadians(Beta); + const double Lambdarad = CAACoordinateTransformation::DegreesToRadians(Lambda); + const double Betarad = CAACoordinateTransformation::DegreesToRadians(Beta); I = CAACoordinateTransformation::DegreesToRadians(1.54242); DeltaU = CAACoordinateTransformation::DegreesToRadians(CAANutation::NutationInLongitude(JD)/3600); - double F = CAACoordinateTransformation::DegreesToRadians(CAAMoon::ArgumentOfLatitude(JD)); + const double F = CAACoordinateTransformation::DegreesToRadians(CAAMoon::ArgumentOfLatitude(JD)); omega = CAACoordinateTransformation::DegreesToRadians(CAAMoon::MeanLongitudeAscendingNode(JD)); epsilon = CAANutation::MeanObliquityOfEcliptic(JD) + CAANutation::NutationInObliquity(JD)/3600; //Calculate the optical librations - double W = Lambdarad - DeltaU/3600 - omega; - double A = atan2(sin(W)*cos(Betarad)*cos(I) - sin(Betarad)*sin(I), cos(W)*cos(Betarad)); + const double W = Lambdarad - DeltaU - omega; + const double A = atan2(sin(W)*cos(Betarad)*cos(I) - sin(Betarad)*sin(I), cos(W)*cos(Betarad)); ldash = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(A) - CAACoordinateTransformation::RadiansToDegrees(F)); if (ldash > 180) ldash -= 360; bdash = asin(-sin(W)*cos(Betarad)*sin(I) - sin(Betarad)*cos(I)); //Calculate the physical librations - double T = (JD - 2451545.0)/36525; + const double T = (JD - 2451545.0)/36525; double K1 = 119.75 + 131.849*T; K1 = CAACoordinateTransformation::DegreesToRadians(K1); double K2 = 72.56 + 20.186*T; @@ -72,51 +76,51 @@ void CAAPhysicalMoon::CalculateOpticalLibration(double JD, double Lambda, double Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); double D = CAAMoon::MeanElongation(JD); D = CAACoordinateTransformation::DegreesToRadians(D); - double E = CAAEarth::Eccentricity(JD); + const double E = CAAEarth::Eccentricity(JD); rho = -0.02752*cos(Mdash) + -0.02245*sin(F) + - 0.00684*cos(Mdash - 2*F) + + 0.00684*cos(Mdash - 2*F) + -0.00293*cos(2*F) + -0.00085*cos(2*F - 2*D) + -0.00054*cos(Mdash - 2*D) + -0.00020*sin(Mdash + F) + -0.00020*cos(Mdash + 2*F) + -0.00020*cos(Mdash - F) + - 0.00014*cos(Mdash + 2*F - 2*D); + 0.00014*cos(Mdash + 2*F - 2*D); sigma = -0.02816*sin(Mdash) + - 0.02244*cos(F) + + 0.02244*cos(F) + -0.00682*sin(Mdash - 2*F) + -0.00279*sin(2*F) + -0.00083*sin(2*F - 2*D) + - 0.00069*sin(Mdash - 2*D) + - 0.00040*cos(Mdash + F) + + 0.00069*sin(Mdash - 2*D) + + 0.00040*cos(Mdash + F) + -0.00025*sin(2*Mdash) + -0.00023*sin(Mdash + 2*F) + - 0.00020*cos(Mdash - F) + - 0.00019*sin(Mdash - F) + - 0.00013*sin(Mdash + 2*F - 2*D) + + 0.00020*cos(Mdash - F) + + 0.00019*sin(Mdash - F) + + 0.00013*sin(Mdash + 2*F - 2*D) + -0.00010*cos(Mdash - 3*F); double tau = 0.02520*E*sin(M) + 0.00473*sin(2*Mdash - 2*F) + - -0.00467*sin(Mdash) + + -0.00467*sin(Mdash) + 0.00396*sin(K1) + 0.00276*sin(2*Mdash - 2*D) + 0.00196*sin(omega) + - -0.00183*cos(Mdash - F) + + -0.00183*cos(Mdash - F) + 0.00115*sin(Mdash - 2*D) + - -0.00096*sin(Mdash - D) + + -0.00096*sin(Mdash - D) + 0.00046*sin(2*F - 2*D) + - -0.00039*sin(Mdash - F) + - -0.00032*sin(Mdash - M - D) + + -0.00039*sin(Mdash - F) + + -0.00032*sin(Mdash - M - D) + 0.00027*sin(2*Mdash - M - 2*D) + 0.00023*sin(K2) + - -0.00014*sin(2*D) + + -0.00014*sin(2*D) + 0.00014*cos(2*Mdash - 2*F) + - -0.00012*sin(Mdash - 2*F) + - -0.00012*sin(2*Mdash) + + -0.00012*sin(Mdash - 2*F) + + -0.00012*sin(2*Mdash) + 0.00011*sin(2*Mdash - 2*M - 2*D); ldash2 = -tau + (rho*cos(A) + sigma*sin(A))*tan(bdash); @@ -124,7 +128,7 @@ void CAAPhysicalMoon::CalculateOpticalLibration(double JD, double Lambda, double bdash2 = sigma*cos(A) - rho*sin(A); } -CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateHelper(double JD, double& Lambda, double& Beta, double& epsilon, CAA2DCoordinate& Equatorial) +CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateHelper(double JD, double& Lambda, double& Beta, double& epsilon, CAA2DCoordinate& Equatorial) noexcept { //What will be the return value CAAPhysicalMoonDetails details; @@ -134,104 +138,105 @@ CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateHelper(double JD, double& Lambd Beta = CAAMoon::EclipticLatitude(JD); //Calculate the optical libration - double omega; - double DeltaU; - double sigma; - double I; - double rho; + double omega = 0; + double DeltaU = 0; + double sigma = 0; + double I = 0; + double rho = 0; CalculateOpticalLibration(JD, Lambda, Beta, details.ldash, details.bdash, details.ldash2, details.bdash2, epsilon, omega, DeltaU, sigma, I, rho); - double epsilonrad = CAACoordinateTransformation::DegreesToRadians(epsilon); + const double epsilonrad = CAACoordinateTransformation::DegreesToRadians(epsilon); //Calculate the total libration details.l = details.ldash + details.ldash2; details.b = details.bdash + details.bdash2; - double b = CAACoordinateTransformation::DegreesToRadians(details.b); + const double b = CAACoordinateTransformation::DegreesToRadians(details.b); //Calculate the position angle - double V = omega + DeltaU + CAACoordinateTransformation::DegreesToRadians(sigma)/sin(I); - double I_rho = I + CAACoordinateTransformation::DegreesToRadians(rho); - double X = sin(I_rho)*sin(V); - double Y = sin(I_rho)*cos(V)*cos(epsilonrad) - cos(I_rho)*sin(epsilonrad); - double w = atan2(X, Y); + const double V = omega + DeltaU + CAACoordinateTransformation::DegreesToRadians(sigma)/sin(I); + const double I_rho = I + CAACoordinateTransformation::DegreesToRadians(rho); + const double X = sin(I_rho)*sin(V); + const double Y = sin(I_rho)*cos(V)*cos(epsilonrad) - cos(I_rho)*sin(epsilonrad); + const double w = atan2(X, Y); Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Lambda, Beta, epsilon); - double Alpha = CAACoordinateTransformation::HoursToRadians(Equatorial.X); - +#ifdef _MSC_VER + #pragma warning(suppress : 26489) +#endif //#ifdef _MSC_VER + const double Alpha = CAACoordinateTransformation::HoursToRadians(Equatorial.X); details.P = CAACoordinateTransformation::RadiansToDegrees(asin(sqrt(X*X + Y*Y)*cos(Alpha - w)/(cos(b)))); - return details; } -CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateGeocentric(double JD) +CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateGeocentric(double JD) noexcept { - double Lambda; - double Beta; - double epsilon; + double Lambda = 0; + double Beta = 0; + double epsilon = 0; CAA2DCoordinate Equatorial; return CalculateHelper(JD, Lambda, Beta, epsilon, Equatorial); } -CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateTopocentric(double JD, double Longitude, double Latitude) +CAAPhysicalMoonDetails CAAPhysicalMoon::CalculateTopocentric(double JD, double Longitude, double Latitude) noexcept { //First convert to radians Longitude = CAACoordinateTransformation::DegreesToRadians(Longitude); Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); - double Lambda; - double Beta; - double epsilon; + double Lambda = 0; + double Beta = 0; + double epsilon = 0; CAA2DCoordinate Equatorial; CAAPhysicalMoonDetails details = CalculateHelper(JD, Lambda, Beta, epsilon, Equatorial); - double R = CAAMoon::RadiusVector(JD); - double pi = CAAMoon::RadiusVectorToHorizontalParallax(R); - double Alpha = CAACoordinateTransformation::HoursToRadians(Equatorial.X); - double Delta = CAACoordinateTransformation::DegreesToRadians(Equatorial.Y); + const double R = CAAMoon::RadiusVector(JD); + const double pi = CAAMoon::RadiusVectorToHorizontalParallax(R); + const double Alpha = CAACoordinateTransformation::HoursToRadians(Equatorial.X); + const double Delta = CAACoordinateTransformation::DegreesToRadians(Equatorial.Y); - double AST = CAASidereal::ApparentGreenwichSiderealTime(JD); - double H = CAACoordinateTransformation::HoursToRadians(AST) - Longitude - Alpha; + const double AST = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double H = CAACoordinateTransformation::HoursToRadians(AST) - Longitude - Alpha; - double Q = atan2(cos(Latitude)*sin(H), cos(Delta)*sin(Latitude) - sin(Delta)*cos(Latitude)*cos(H)); - double Z = acos(sin(Delta)*sin(Latitude) + cos(Delta)*cos(Latitude)*cos(H)); - double pidash = pi*(sin(Z) + 0.0084*sin(2*Z)); + const double Q = atan2(cos(Latitude)*sin(H), cos(Delta)*sin(Latitude) - sin(Delta)*cos(Latitude)*cos(H)); + const double Z = acos(sin(Delta)*sin(Latitude) + cos(Delta)*cos(Latitude)*cos(H)); + const double pidash = pi*(sin(Z) + 0.0084*sin(2*Z)); - double Prad = CAACoordinateTransformation::DegreesToRadians(details.P); + const double Prad = CAACoordinateTransformation::DegreesToRadians(details.P); - double DeltaL = -pidash*sin(Q - Prad)/cos(CAACoordinateTransformation::DegreesToRadians(details.b)); + const double DeltaL = -pidash*sin(Q - Prad)/cos(CAACoordinateTransformation::DegreesToRadians(details.b)); details.l += DeltaL; - double DeltaB = pidash*cos(Q - Prad); + const double DeltaB = pidash*cos(Q - Prad); details.b += DeltaB; - double DeltaP = DeltaL*sin(CAACoordinateTransformation::DegreesToRadians(details.b)) - pidash*sin(Q)*tan(Delta); + const double DeltaP = DeltaL*sin(CAACoordinateTransformation::DegreesToRadians(details.b)) - pidash*sin(Q)*tan(Delta); details.P += DeltaP; return details; } -CAASelenographicMoonDetails CAAPhysicalMoon::CalculateSelenographicPositionOfSun(double JD, bool bHighPrecision) +CAASelenographicMoonDetails CAAPhysicalMoon::CalculateSelenographicPositionOfSun(double JD, bool bHighPrecision) noexcept { - double R = CAAEarth::RadiusVector(JD, bHighPrecision)*149597970; - double Delta = CAAMoon::RadiusVector(JD); - double lambda0 = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); - double lambda = CAAMoon::EclipticLongitude(JD); - double beta = CAAMoon::EclipticLatitude(JD); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision)*149597970; + const double Delta = CAAMoon::RadiusVector(JD); + const double lambda0 = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); + const double lambda = CAAMoon::EclipticLongitude(JD); + const double beta = CAAMoon::EclipticLatitude(JD); - double lambdah = CAACoordinateTransformation::MapTo0To360Range(lambda0 + 180 + Delta/R*57.296*cos(CAACoordinateTransformation::DegreesToRadians(beta))*sin(CAACoordinateTransformation::DegreesToRadians(lambda0 - lambda))); - double betah = Delta/R*beta; + const double lambdah = CAACoordinateTransformation::MapTo0To360Range(lambda0 + 180 + Delta/R*57.296*cos(CAACoordinateTransformation::DegreesToRadians(beta))*sin(CAACoordinateTransformation::DegreesToRadians(lambda0 - lambda))); + const double betah = Delta/R*beta; //What will be the return value CAASelenographicMoonDetails details; //Calculate the optical libration - double omega; - double DeltaU; - double sigma; - double I; - double rho; - double ldash0; - double bdash0; - double ldash20; - double bdash20; - double epsilon; + double omega = 0; + double DeltaU = 0; + double sigma = 0; + double I = 0; + double rho = 0; + double ldash0 = 0; + double bdash0 = 0; + double ldash20 = 0; + double bdash20 = 0; + double epsilon = 0; CalculateOpticalLibration(JD, lambdah, betah, ldash0, bdash0, ldash20, bdash20, epsilon, omega, DeltaU, sigma, I, rho); details.l0 = ldash0 + ldash20; @@ -240,7 +245,7 @@ CAASelenographicMoonDetails CAAPhysicalMoon::CalculateSelenographicPositionOfSun return details; } -double CAAPhysicalMoon::AltitudeOfSun(double JD, double Longitude, double Latitude, bool bHighPrecision) +double CAAPhysicalMoon::AltitudeOfSun(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept { //Calculate the selenographic details CAASelenographicMoonDetails selenographicDetails = CalculateSelenographicPositionOfSun(JD, bHighPrecision); @@ -254,15 +259,15 @@ double CAAPhysicalMoon::AltitudeOfSun(double JD, double Longitude, double Latitu return CAACoordinateTransformation::RadiansToDegrees(asin(sin(selenographicDetails.b0)*sin(Latitude) + cos(selenographicDetails.b0)*cos(Latitude)*sin(selenographicDetails.c0 + Longitude))); } -double CAAPhysicalMoon::SunriseSunsetHelper(double JD, double Longitude, double Latitude, bool bSunrise, bool bHighPrecision) +double CAAPhysicalMoon::SunriseSunsetHelper(double JD, double Longitude, double Latitude, bool bSunrise, bool bHighPrecision) noexcept { double JDResult = JD; - double Latituderad = CAACoordinateTransformation::DegreesToRadians(Latitude); - double h; + const double Latituderad = CAACoordinateTransformation::DegreesToRadians(Latitude); + double h = 0; do { h = AltitudeOfSun(JDResult, Longitude, Latitude, bHighPrecision); - double DeltaJD = h/(12.19075*cos(Latituderad)); + const double DeltaJD = h/(12.19075*cos(Latituderad)); if (bSunrise) JDResult -= DeltaJD; else @@ -273,12 +278,12 @@ double CAAPhysicalMoon::SunriseSunsetHelper(double JD, double Longitude, double return JDResult; } -double CAAPhysicalMoon::TimeOfSunrise(double JD, double Longitude, double Latitude, bool bHighPrecision) +double CAAPhysicalMoon::TimeOfSunrise(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept { return SunriseSunsetHelper(JD, Longitude, Latitude, true, bHighPrecision); } -double CAAPhysicalMoon::TimeOfSunset(double JD, double Longitude, double Latitude, bool bHighPrecision) +double CAAPhysicalMoon::TimeOfSunset(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept { return SunriseSunsetHelper(JD, Longitude, Latitude, false, bHighPrecision); } diff --git a/Vendor/AA+/1.6.3/AAPhysicalSun.cpp b/Sources/AAPlus/AAPhysicalSun.cpp old mode 100755 new mode 100644 similarity index 74% rename from Vendor/AA+/1.6.3/AAPhysicalSun.cpp rename to Sources/AAPlus/AAPhysicalSun.cpp index b81084f..5fbd55f --- a/Vendor/AA+/1.6.3/AAPhysicalSun.cpp +++ b/Sources/AAPlus/AAPhysicalSun.cpp @@ -1,5 +1,5 @@ /* -Module : AAPHYSICALSUN.CPP +Module : AAPhysicalSun.cpp Purpose: Implementation for the algorithms which obtain the physical parameters of the Sun Created: PJN / 29-12-2003 History: PJN / 16-06-2004 1. Fixed a typo in the calculation of SunLongDash in CAAPhysicalSun::Calculate. @@ -7,9 +7,12 @@ History: PJN / 16-06-2004 1. Fixed a typo in the calculation of SunLongDash in C PJN / 16-09-2015 1. CAAPhysicalSun::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 15-05-2017 1. Fixed an issue in CAAPhysicalSun::Calculate where the value "eta" would + sometimes not be returned in the correct quadrant. Thanks to Alexandru + Garofide for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,15 +41,15 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -CAAPhysicalSunDetails CAAPhysicalSun::Calculate(double JD, bool bHighPrecision) +CAAPhysicalSunDetails CAAPhysicalSun::Calculate(double JD, bool bHighPrecision) noexcept { double theta = CAACoordinateTransformation::MapTo0To360Range((JD - 2398220) * 360 / 25.38); double I = 7.25; double K = 73.6667 + 1.3958333*(JD - 2396758)/36525; //Calculate the apparent longitude of the sun (excluding the effect of nutation) - double L = CAAEarth::EclipticLongitude(JD, bHighPrecision); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double L = CAAEarth::EclipticLongitude(JD, bHighPrecision); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); double SunLong = L + 180 - CAACoordinateTransformation::DMSToDegrees(0, 0, 20.4898 / R); double epsilon = CAANutation::TrueObliquityOfEcliptic(JD); @@ -58,21 +61,20 @@ CAAPhysicalSunDetails CAAPhysicalSun::Calculate(double JD, bool bHighPrecision) I = CAACoordinateTransformation::DegreesToRadians(I); theta = CAACoordinateTransformation::DegreesToRadians(theta); - double x = atan(-cos(SunLong)*tan(epsilon)); - double y = atan(-cos(SunLong - K)*tan(I)); + const double x = atan(-cos(SunLong)*tan(epsilon)); + const double y = atan(-cos(SunLong - K)*tan(I)); CAAPhysicalSunDetails details; - details.P = CAACoordinateTransformation::RadiansToDegrees(x + y); details.B0 = CAACoordinateTransformation::RadiansToDegrees(asin(sin(SunLong - K)*sin(I))); - - double eta = atan(tan(SunLong - K)*cos(I)); + const double SunLongMinusK = SunLong - K; + const double eta = atan2(-sin(SunLongMinusK)*cos(I), -cos(SunLongMinusK)); details.L0 = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(eta - theta)); return details; } -double CAAPhysicalSun::TimeOfStartOfRotation(long C) +double CAAPhysicalSun::TimeOfStartOfRotation(long C) noexcept { double JED = 2398140.2270 + 27.2752316*C; diff --git a/Vendor/AA+/1.6.3/AAPlanetaryPhenomena.cpp b/Sources/AAPlus/AAPlanetaryPhenomena.cpp old mode 100755 new mode 100644 similarity index 70% rename from Vendor/AA+/1.6.3/AAPlanetaryPhenomena.cpp rename to Sources/AAPlus/AAPlanetaryPhenomena.cpp index f89fb8e..0ff0507 --- a/Vendor/AA+/1.6.3/AAPlanetaryPhenomena.cpp +++ b/Sources/AAPlus/AAPlanetaryPhenomena.cpp @@ -1,13 +1,27 @@ /* -Module : AAPLANETARYPHENOMENA.CPP +Module : AAPlanetaryPhenomena.cpp Purpose: Implementation for the algorithms which obtain the dates of various planetary phenomena Created: PJN / 29-12-2003 History: PJN / 08-05-2011 1. Fixed a compilation issue on GCC where size_t was undefined in various methods. Thanks to Carsten A. Arnholm and Andrew Hammond for reporting this bug. PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this issue when compiling AA+ on ARM. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + PJN / 22-07-2018 1. Fixed a number of gcc warnings in CAAPlanetaryPhenomena::K, CAAPlanetaryPhenomena::Mean, + CAAPlanetaryPhenomena::True & CAAPlanetaryPhenomena::ElongationValue. Thanks to Todd Carnes + for reportying this issue. + PJN / 24-07-2018 1. Fixed a number of GCC warnings in the methods CAAPlanetaryPhenomena::K, + CAAPlanetaryPhenomena::Mean, CAAPlanetaryPhenomena::True & + CAAPlanetaryPhenomena::ElongationValue. Thanks to Todd Carnes for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 15-04-2020 1. Reworked C arrays to use std::array + PJN / 12-03-2021 1. Changed the behavior of the CAAPlanetaryPhenomena::K method to now return the K value before + it is rounded. This new behaviour is now consistent with all the other methods in the AA+ + framework which return so called "K" values. This means that client code must round this value + to an integer before calling other methods in this class with this K value. + PJN / 03-10-2021 1. Renamed CAAPlanetaryPhenomena::PlanetaryObject type to Planet. + 2. Renamed CAAPlanetaryPhenomena::EventType type to Type. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,6 +44,7 @@ to maintain a single distribution point for the source code. #include #include #include +#include using namespace std; @@ -43,8 +58,8 @@ struct PlanetaryPhenomenaCoefficient1 double M1; }; -const PlanetaryPhenomenaCoefficient1 g_PlanetaryPhenomenaCoefficient1[] = -{ +constexpr array g_PlanetaryPhenomenaCoefficient1 +{ { { 2451612.023, 115.8774771, 63.5867, 114.2088742 }, { 2451554.084, 115.8774771, 6.4822, 114.2088742 }, { 2451996.706, 583.921361, 82.7311, 215.513058 }, @@ -58,150 +73,155 @@ const PlanetaryPhenomenaCoefficient1 g_PlanetaryPhenomenaCoefficient1[] = { 2451764.317, 369.656035, 213.6884, 4.333093 }, { 2451579.489, 369.656035, 31.5219, 4.333093 }, { 2451753.122, 367.486703, 202.6544, 2.194998 }, - { 2451569.379, 367.486703, 21.5569, 2.194998 }, -}; + { 2451569.379, 367.486703, 21.5569, 2.194998 } +} }; /////////////////////////// Implementation //////////////////////////////////// -double CAAPlanetaryPhenomena::K(double Year, PlanetaryObject object, EventType type) +double CAAPlanetaryPhenomena::K(double Year, Planet planet, Type type) noexcept { - size_t nCoefficient; - if (object >= MARS) + size_t nCoefficient = 0; + if (planet >= Planet::MARS) { - assert(type == OPPOSITION || type == CONJUNCTION); + assert(type == Type::OPPOSITION || type == Type::CONJUNCTION); - if (type == OPPOSITION) - nCoefficient = object*2; + if (type == Type::OPPOSITION) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } else { - assert(type == INFERIOR_CONJUNCTION || type == SUPERIOR_CONJUNCTION); + assert(type == Type::INFERIOR_CONJUNCTION || type == Type::SUPERIOR_CONJUNCTION); - if (type == INFERIOR_CONJUNCTION) - nCoefficient = object*2; + if (type == Type::INFERIOR_CONJUNCTION) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } - assert(nCoefficient >= 0 && nCoefficient < sizeof(g_PlanetaryPhenomenaCoefficient1)/sizeof(PlanetaryPhenomenaCoefficient1)); - - double k = (365.2425*Year + 1721060 - g_PlanetaryPhenomenaCoefficient1[nCoefficient].A) / g_PlanetaryPhenomenaCoefficient1[nCoefficient].B; - return floor(k + 0.5); + assert(nCoefficient < g_PlanetaryPhenomenaCoefficient1.size()); +#ifdef _MSC_VER + #pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + return (365.2425*Year + 1721060 - g_PlanetaryPhenomenaCoefficient1[nCoefficient].A) / g_PlanetaryPhenomenaCoefficient1[nCoefficient].B; } -double CAAPlanetaryPhenomena::Mean(double k, PlanetaryObject object, EventType type) +double CAAPlanetaryPhenomena::Mean(double k, Planet planet, Type type) noexcept { - size_t nCoefficient; - if (object >= MARS) + size_t nCoefficient = 0; + if (planet >= Planet::MARS) { - assert(type == OPPOSITION || type == CONJUNCTION); + assert(type == Type::OPPOSITION || type == Type::CONJUNCTION); - if (type == OPPOSITION) - nCoefficient = object*2; + if (type == Type::OPPOSITION) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } else { - assert(type == INFERIOR_CONJUNCTION || type == SUPERIOR_CONJUNCTION); + assert(type == Type::INFERIOR_CONJUNCTION || type == Type::SUPERIOR_CONJUNCTION); - if (type == INFERIOR_CONJUNCTION) - nCoefficient = object*2; + if (type == Type::INFERIOR_CONJUNCTION) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } - assert(nCoefficient >= 0 && nCoefficient < sizeof(g_PlanetaryPhenomenaCoefficient1)/sizeof(PlanetaryPhenomenaCoefficient1)); - + assert(nCoefficient < g_PlanetaryPhenomenaCoefficient1.size()); +#ifdef _MSC_VER + #pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER return g_PlanetaryPhenomenaCoefficient1[nCoefficient].A + g_PlanetaryPhenomenaCoefficient1[nCoefficient].B*k; } -double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType type) +double CAAPlanetaryPhenomena::True(double k, Planet planet, Type type) noexcept { - double JDE0; - - if (type == WESTERN_ELONGATION || type == EASTERN_ELONGATION || type == STATION1 || type == STATION2) + double JDE0 = 0; + + if (type == Type::WESTERN_ELONGATION || type == Type::EASTERN_ELONGATION || type == Type::STATION1 || type == Type::STATION2) { - if (object >= MARS) - JDE0 = Mean(k, object, OPPOSITION); + if (planet >= Planet::MARS) + JDE0 = Mean(k, planet, Type::OPPOSITION); else - JDE0 = Mean(k, object, INFERIOR_CONJUNCTION); + JDE0 = Mean(k, planet, Type::INFERIOR_CONJUNCTION); } else - JDE0 = Mean(k, object, type); + JDE0 = Mean(k, planet, type); - size_t nCoefficient; - if (object >= MARS) + size_t nCoefficient = 0; + if (planet >= Planet::MARS) { - assert(type == OPPOSITION || type == CONJUNCTION || type == STATION1 || type == STATION2); + assert(type == Type::OPPOSITION || type == Type::CONJUNCTION || type == Type::STATION1 || type == Type::STATION2); - if (type == OPPOSITION || type == STATION1 || type == STATION2) - nCoefficient = object*2; + if (type == Type::OPPOSITION || type == Type::STATION1 || type == Type::STATION2) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } else { - assert(type == INFERIOR_CONJUNCTION || type == SUPERIOR_CONJUNCTION || type == EASTERN_ELONGATION || - type == WESTERN_ELONGATION || type == STATION1 || type == STATION2); + assert(type == Type::INFERIOR_CONJUNCTION || type == Type::SUPERIOR_CONJUNCTION || type == Type::EASTERN_ELONGATION || + type == Type::WESTERN_ELONGATION || type == Type::STATION1 || type == Type::STATION2); - if (type == INFERIOR_CONJUNCTION || type == EASTERN_ELONGATION || type == WESTERN_ELONGATION || type == STATION1 || type == STATION2) - nCoefficient = object*2; + if (type == Type::INFERIOR_CONJUNCTION || type == Type::EASTERN_ELONGATION || type == Type::WESTERN_ELONGATION || type == Type::STATION1 || type == Type::STATION2) + nCoefficient = static_cast(planet) * 2; else - nCoefficient = object*2 + 1; + nCoefficient = static_cast(planet) * 2 + 1; } - assert(nCoefficient >= 0 && nCoefficient < sizeof(g_PlanetaryPhenomenaCoefficient1)/sizeof(PlanetaryPhenomenaCoefficient1)); - + assert(nCoefficient < g_PlanetaryPhenomenaCoefficient1.size()); +#ifdef _MSC_VER + #pragma warning(suppress : 26482 26446) +#endif //#ifdef _MSC_VER double M = CAACoordinateTransformation::MapTo0To360Range(g_PlanetaryPhenomenaCoefficient1[nCoefficient].M0 + g_PlanetaryPhenomenaCoefficient1[nCoefficient].M1*k); - M = CAACoordinateTransformation::DegreesToRadians(M); //convert M to radians + M = CAACoordinateTransformation::DegreesToRadians(M); //convert M to radians - double T = (JDE0 - 2451545) / 36525; - double T2 = T*T; + const double T = (JDE0 - 2451545) / 36525; + const double T2 = T*T; - double a=0; - double b=0; - double c=0; - double d=0; - double e=0; - double f=0; - double g=0; + double a = 0; + double b = 0; + double c = 0; + double d = 0; + double e = 0; + double f = 0; + double g = 0; - if (object == JUPITER) + if (planet == Planet::JUPITER) { a = CAACoordinateTransformation::MapTo0To360Range(82.74 + 40.76*T); - a = CAACoordinateTransformation::DegreesToRadians(a); + a = CAACoordinateTransformation::DegreesToRadians(a); } - else if (object == SATURN) + else if (planet == Planet::SATURN) { a = CAACoordinateTransformation::MapTo0To360Range(82.74 + 40.76*T); - a = CAACoordinateTransformation::DegreesToRadians(a); + a = CAACoordinateTransformation::DegreesToRadians(a); b = CAACoordinateTransformation::MapTo0To360Range(29.86 + 1181.36*T); - b = CAACoordinateTransformation::DegreesToRadians(b); + b = CAACoordinateTransformation::DegreesToRadians(b); c = CAACoordinateTransformation::MapTo0To360Range(14.13 + 590.68*T); - c = CAACoordinateTransformation::DegreesToRadians(c); + c = CAACoordinateTransformation::DegreesToRadians(c); d = CAACoordinateTransformation::MapTo0To360Range(220.02 + 1262.87*T); - d = CAACoordinateTransformation::DegreesToRadians(d); + d = CAACoordinateTransformation::DegreesToRadians(d); } - else if (object == URANUS) + else if (planet == Planet::URANUS) { e = CAACoordinateTransformation::MapTo0To360Range(207.83 + 8.51*T); - e = CAACoordinateTransformation::DegreesToRadians(e); + e = CAACoordinateTransformation::DegreesToRadians(e); f = CAACoordinateTransformation::MapTo0To360Range(108.84 + 419.96*T); - f = CAACoordinateTransformation::DegreesToRadians(f); + f = CAACoordinateTransformation::DegreesToRadians(f); } - else if (object == NEPTUNE) + else if (planet == Planet::NEPTUNE) { e = CAACoordinateTransformation::MapTo0To360Range(207.83 + 8.51*T); - e = CAACoordinateTransformation::DegreesToRadians(e); + e = CAACoordinateTransformation::DegreesToRadians(e); g = CAACoordinateTransformation::MapTo0To360Range(276.74 + 209.98*T); - g = CAACoordinateTransformation::DegreesToRadians(g); + g = CAACoordinateTransformation::DegreesToRadians(g); } - double delta; - if (object == MERCURY) + double delta = 0; + if (planet == Planet::MERCURY) { - if (type == INFERIOR_CONJUNCTION) + if (type == Type::INFERIOR_CONJUNCTION) { delta = (0.0545 + 0.0002*T) + sin(M) * (-6.2008 + 0.0074*T + 0.00003*T2) + @@ -215,7 +235,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(5*M) * (0.0083 + 0.0001*T) + cos(5*M) * (-0.0040 + 0.0001*T); } - else if (type == SUPERIOR_CONJUNCTION) + else if (type == Type::SUPERIOR_CONJUNCTION) { delta = (-0.0548 - 0.0002*T) + sin(M) * (7.3894 - 0.0100*T - 0.00003*T2) + @@ -229,7 +249,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(5*M) * (-0.0122 - 0.0002*T) + cos(5*M) * (0.0173 - 0.0002*T); } - else if (type == EASTERN_ELONGATION) + else if (type == Type::EASTERN_ELONGATION) { delta = (-21.6101 + 0.0002*T) + sin(M) * (-1.9803 - 0.0060*T + 0.00001*T2) + @@ -243,7 +263,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(5*M) * (-0.0061) + cos(5*M) * (-0.0032 - 0.0001*T2); } - else if (type == WESTERN_ELONGATION) + else if (type == Type::WESTERN_ELONGATION) { delta = (21.6249 - 0.0002*T) + sin(M) * (0.1306 + 0.0065*T) + @@ -257,7 +277,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(5*M) * (0.0026) + cos(5*M) * (0.0037); } - else if (type == STATION1) + else if (type == Type::STATION1) { delta = (-11.0761 + 0.0003*T) + sin(M) * (-4.7321 + 0.0023*T + 0.00002*T2) + @@ -273,7 +293,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == STATION2); + assert(type == Type::STATION2); delta = (11.1343 - 0.0001*T) + sin(M) * (-3.9137 + 0.0073*T + 0.00002*T2) + @@ -288,9 +308,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(5*M) * (-0.0115 + 0.0001*T); } } - else if (object == VENUS) + else if (planet == Planet::VENUS) { - if (type == INFERIOR_CONJUNCTION) + if (type == Type::INFERIOR_CONJUNCTION) { delta = (-0.0096 + 0.0002*T - 0.00001*T2) + sin(M) * (2.0009 - 0.0033*T - 0.00001*T2) + @@ -300,7 +320,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(3*M) * (0.0046 - 0.0002*T) + cos(3*M) * (0.0079 + 0.0001*T); } - else if (type == SUPERIOR_CONJUNCTION) + else if (type == Type::SUPERIOR_CONJUNCTION) { delta = (0.0099 - 0.0002*T - 0.00001*T2) + sin(M) * (4.1991 - 0.0121*T - 0.00003*T2) + @@ -310,7 +330,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(3*M) * (0.0232 - 0.0005*T - 0.00001*T2) + cos(3*M) * (0.0031 + 0.0004*T); } - else if (type == EASTERN_ELONGATION) + else if (type == Type::EASTERN_ELONGATION) { delta = (-70.7600 + 0.0002*T - 0.00001*T2) + sin(M) * (1.0282 - 0.0010*T - 0.00001*T2) + @@ -320,7 +340,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(3*M) * (0.0036 + 0.0001*T) + cos(3*M) * (-0.0011 + 0.00001*T2); } - else if (type == WESTERN_ELONGATION) + else if (type == Type::WESTERN_ELONGATION) { delta = (70.7462 - 0.00001*T2) + sin(M) * (1.1218 - 0.0025*T - 0.00001*T2) + @@ -330,7 +350,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(3*M) * (0.0062 - 0.0001*T) + cos(3*M) * (0.0015 - 0.00001*T2); } - else if (type == STATION1) + else if (type == Type::STATION1) { delta = (-21.0672 + 0.0002*T - 0.00001*T2) + sin(M) * (1.9396 - 0.0029*T - 0.00001*T2) + @@ -342,7 +362,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == STATION2); + assert(type == Type::STATION2); delta = (21.0623 - 0.00001*T2) + sin(M) * (1.9913 - 0.0040*T - 0.00001*T2) + @@ -353,9 +373,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(3*M) * (0.0043 + 0.0001*T); } } - else if (object == MARS) + else if (planet == Planet::MARS) { - if (type == OPPOSITION) + if (type == Type::OPPOSITION) { delta = (-0.3088 + 0.00002*T2) + sin(M) * (-17.6965 + 0.0363*T + 0.00005*T2) + @@ -369,7 +389,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(5*M) * (0.0737 - 0.0008*T) + cos(5*M) * (-0.0980 - 0.0011*T); } - else if (type == CONJUNCTION) + else if (type == Type::CONJUNCTION) { delta = (0.3102 - 0.0001*T + 0.00001*T2) + sin(M) * (9.7273 - 0.0156*T + 0.00001*T2) + @@ -382,8 +402,8 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(4*M) * (0.1584 + 0.0013*T) + sin(5*M) * (0.0270 + 0.0005*T) + cos(5*M) * (0.0433); - } - else if (type == STATION1) + } + else if (type == Type::STATION1) { delta = (-37.0790 - 0.0009*T + 0.00002*T2) + sin(M) * (-20.0651 + 0.0228*T + 0.00004*T2) + @@ -399,7 +419,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == STATION2); + assert(type == Type::STATION2); delta = (36.7191 + 0.0016*T + 0.00003*T2) + sin(M) * (-12.6163 + 0.0417*T - 0.00001*T2) + @@ -414,9 +434,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(5*M) * (-0.1497 - 0.0006*T); } } - else if (object == JUPITER) + else if (planet == Planet::JUPITER) { - if (type == OPPOSITION) + if (type == Type::OPPOSITION) { delta = (-0.1029 - 0.00009*T2) + sin(M) * (-1.9658 - 0.0056*T + 0.00007*T2) + @@ -428,7 +448,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(a) * (0.0144*T - 0.00008*T2) + cos(a) * (0.3642 - 0.0019*T - 0.00029*T2); } - else if (type == CONJUNCTION) + else if (type == Type::CONJUNCTION) { delta = (0.1027 + 0.0002*T - 0.00009*T2) + sin(M) * (-2.2637 + 0.0163*T - 0.00003*T2) + @@ -440,7 +460,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(a) * (0.0144*T - 0.00008*T2) + cos(a) * (0.3642 - 0.0019*T - 0.00029*T2); } - else if (type == STATION1) + else if (type == Type::STATION1) { delta = (-60.3670 - 0.0001*T - 0.00009*T2) + sin(M) * (-2.3144 - 0.0124*T + 0.00007*T2) + @@ -454,7 +474,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == STATION2); + assert(type == Type::STATION2); delta = (60.3023 + 0.0002*T - 0.00009*T2) + sin(M) * (0.3506 - 0.0034*T + 0.00004*T2) + @@ -467,9 +487,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(a) * (0.3642 - 0.0019*T - 0.00029*T2); } } - else if (object == SATURN) + else if (planet == Planet::SATURN) { - if (type == OPPOSITION) + if (type == Type::OPPOSITION) { delta = (-0.0209 + 0.0006*T + 0.00023*T2) + sin(M) * (4.5795 - 0.0312*T - 0.00017*T2) + @@ -487,7 +507,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(d) * (0.0024*T - 0.00003*T2) + cos(d) * (0.0477 - 0.0005*T - 0.00006*T2); } - else if (type == CONJUNCTION) + else if (type == Type::CONJUNCTION) { delta = (0.0172 - 0.0006*T + 0.00023*T2) + sin(M) * (-8.5885 + 0.0411*T + 0.00020*T2) + @@ -505,7 +525,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t sin(d) * (0.0024*T - 0.00003*T2) + cos(d) * (0.0477 - 0.0005*T - 0.00006*T2); } - else if (type == STATION1) + else if (type == Type::STATION1) { delta = (-68.8840 + 0.0009*T + 0.00023*T2) + sin(M) * (5.5452 - 0.0279*T - 0.00020*T2) + @@ -525,7 +545,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == STATION2); + assert(type == Type::STATION2); delta = (68.8720 - 0.0007*T + 0.00023*T2) + sin(M) * (5.9399 - 0.0400*T - 0.00015*T2) + @@ -544,9 +564,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t cos(d) * (0.0477 - 0.0005*T - 0.00006*T2); } } - else if (object == URANUS) + else if (planet == Planet::URANUS) { - if (type == OPPOSITION) + if (type == Type::OPPOSITION) { delta = (0.0844 - 0.0006*T) + sin(M) * (-0.1048 + 0.0246*T) + @@ -559,7 +579,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == CONJUNCTION); + assert(type == Type::CONJUNCTION); delta = (-0.0859 + 0.0003*T) + sin(M) * (-3.8179 - 0.0148*T + 0.00003*T2) + @@ -573,9 +593,9 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(object == NEPTUNE); + assert(planet == Planet::NEPTUNE); - if (type == OPPOSITION) + if (type == Type::OPPOSITION) { delta = (-0.0140 + 0.00001*T2) + sin(M) * (-1.3486 + 0.0010*T + 0.00001*T2) + @@ -587,7 +607,7 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t } else { - assert(type == CONJUNCTION); + assert(type == Type::CONJUNCTION); delta = (0.0168) + sin(M) * (-2.5606 + 0.0088*T + 0.00002*T2) + @@ -602,23 +622,25 @@ double CAAPlanetaryPhenomena::True(double k, PlanetaryObject object, EventType t return JDE0 + delta; } -double CAAPlanetaryPhenomena::ElongationValue(double k, PlanetaryObject object, bool bEastern) +double CAAPlanetaryPhenomena::ElongationValue(double k, Planet planet, bool bEastern) noexcept { - double JDE0 = Mean(k, object, INFERIOR_CONJUNCTION); + const double JDE0 = Mean(k, planet, Type::INFERIOR_CONJUNCTION); - assert(object < MARS); - - size_t nCoefficient = object*2; - assert(nCoefficient >= 0 && nCoefficient < sizeof(g_PlanetaryPhenomenaCoefficient1)/sizeof(PlanetaryPhenomenaCoefficient1)); + assert(planet < Planet::MARS); + const size_t nCoefficient = static_cast(planet) * 2; + assert(nCoefficient < g_PlanetaryPhenomenaCoefficient1.size()); +#ifdef _MSC_VER + #pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER double M = CAACoordinateTransformation::MapTo0To360Range(g_PlanetaryPhenomenaCoefficient1[nCoefficient].M0 + g_PlanetaryPhenomenaCoefficient1[nCoefficient].M1*k); - M = CAACoordinateTransformation::DegreesToRadians(M); //convert M to radians + M = CAACoordinateTransformation::DegreesToRadians(M); //convert M to radians - double T = (JDE0 - 2451545) / 36525; - double T2 = T*T; + const double T = (JDE0 - 2451545) / 36525; + const double T2 = T*T; double value = 0; - if (object == MERCURY) + if (planet == Planet::MERCURY) { if (bEastern) { @@ -649,7 +671,7 @@ double CAAPlanetaryPhenomena::ElongationValue(double k, PlanetaryObject object, cos(5*M) * (-0.0011); } } - else if (object == VENUS) + else if (planet == Planet::VENUS) { if (bEastern) { @@ -666,8 +688,8 @@ double CAAPlanetaryPhenomena::ElongationValue(double k, PlanetaryObject object, cos(M) * (0.3097 + 0.0016*T - 0.00001*T2) + sin(2*M) * (-0.0163) + cos(2*M) * (-0.0075 + 0.0001*T); - } + } } - + return value; } diff --git a/Sources/AAPlus/AAPlanetaryPhenomena2.cpp b/Sources/AAPlus/AAPlanetaryPhenomena2.cpp new file mode 100644 index 0000000..5c0b487 --- /dev/null +++ b/Sources/AAPlus/AAPlanetaryPhenomena2.cpp @@ -0,0 +1,435 @@ +/* +Module : AAPlanetaryPhenomena2.cpp +Purpose: Implementation for the algorithms which obtain the dates of various planetary phenomena (revised version) +Created: PJN / 11-06-2020 +History: PJN / 11-06-2020 1. Initial implementation + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AAPlanetaryPhenomena2.h" +#include "AAElliptical.h" +#include "AACoordinateTransformation.h" +#include "AAAngularSeparation.h" +#include "AAInterpolate.h" +#include +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +vector CAAPlanetaryPhenomena2::Calculate(double StartJD, double EndJD, Object object, double StepInterval, bool bHighPrecision) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastJD = 0; + double LastConjuctionValueInEclipticLongitude0 = -1; + double LastConjuctionValueInRA0 = -1; + double LastConjuctionValueInEclipticLongitude1 = -1; + double LastConjuctionValueInRA1 = -1; + double LastElongationValue0 = -1; + double LastElongationValue1 = -1; + double LastStationValueInEclipticLongitude0 = -1; + double LastStationValueInEclipticLongitude1 = -1; + double LastStationValueInRA0 = -1; + double LastStationValueInRA1 = -1; + while (JD < EndJD) + { + const CAAEllipticalPlanetaryDetails SunDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::SUN, bHighPrecision); + CAAEllipticalPlanetaryDetails ObjectDetails; + switch (object) + { + case Object::MERCURY: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::MERCURY, bHighPrecision); + break; + } + case Object::VENUS: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::VENUS, bHighPrecision); + break; + } + case Object::MARS: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::MARS, bHighPrecision); + break; + } + case Object::JUPITER: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::JUPITER, bHighPrecision); + break; + } + case Object::SATURN: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::SATURN, bHighPrecision); + break; + } + case Object::URANUS: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::URANUS, bHighPrecision); + break; + } + case Object::NEPTUNE: + { + ObjectDetails = CAAElliptical::Calculate(JD, CAAElliptical::Object::NEPTUNE, bHighPrecision); + break; + } + default: + { + assert(false); + break; + } + } + + double ConjuctionValueInEclipticLongitude = 0; + if (ObjectDetails.ApparentGeocentricLongitude > SunDetails.ApparentGeocentricLongitude) + ConjuctionValueInEclipticLongitude = ObjectDetails.ApparentGeocentricLongitude - SunDetails.ApparentGeocentricLongitude; + else + ConjuctionValueInEclipticLongitude = SunDetails.ApparentGeocentricLongitude - ObjectDetails.ApparentGeocentricLongitude; + if (ConjuctionValueInEclipticLongitude > 180) + ConjuctionValueInEclipticLongitude = 360 - ConjuctionValueInEclipticLongitude; + if ((LastConjuctionValueInEclipticLongitude0 != -1) && (LastConjuctionValueInEclipticLongitude1 != -1)) + { + if ((LastConjuctionValueInEclipticLongitude0 > ConjuctionValueInEclipticLongitude) && (LastConjuctionValueInEclipticLongitude0 > LastConjuctionValueInEclipticLongitude1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + { + if (ObjectDetails.ApparentGeocentricLongitude < SunDetails.ApparentGeocentricLongitude) + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestWesternElongationInEclipticLongitude; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestEasternElongationInEclipticLongitude; + } + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::OppositionInEclipticLongitude; + double fraction = 0; + const double Extremum = CAAInterpolate::Extremum(LastConjuctionValueInEclipticLongitude1, LastConjuctionValueInEclipticLongitude0, ConjuctionValueInEclipticLongitude, fraction); + if ((object == Object::MERCURY) || (object == Object::VENUS)) + event.Value = Extremum; + else + event.Value = 180; + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastConjuctionValueInEclipticLongitude0 < ConjuctionValueInEclipticLongitude) && (LastConjuctionValueInEclipticLongitude0 < LastConjuctionValueInEclipticLongitude1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + event.type = (ObjectDetails.ApparentGeocentricDistance > 1) ? CAAPlanetaryPhenomenaDetails2::Type::SuperiorConjunctionInEclipticLongitude : CAAPlanetaryPhenomenaDetails2::Type::InferiorConjunctionInEclipticLongitude; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::ConjunctionInEclipticLongitude; + double fraction = 0; + event.Value = 0; + CAAInterpolate::Extremum(LastConjuctionValueInEclipticLongitude1, LastConjuctionValueInEclipticLongitude0, ConjuctionValueInEclipticLongitude, fraction); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + } + double ConjuctionValueInRA = 0; + if (ObjectDetails.ApparentGeocentricRA > SunDetails.ApparentGeocentricRA) + ConjuctionValueInRA = ObjectDetails.ApparentGeocentricRA - SunDetails.ApparentGeocentricRA; + else + ConjuctionValueInRA = SunDetails.ApparentGeocentricRA - ObjectDetails.ApparentGeocentricRA; + if (ConjuctionValueInRA > 12) + ConjuctionValueInRA = 24 - ConjuctionValueInRA; + if ((LastConjuctionValueInRA0 != -1) && (LastConjuctionValueInRA1 != -1)) + { + if ((LastConjuctionValueInRA0 > ConjuctionValueInRA) && (LastConjuctionValueInRA0 > LastConjuctionValueInRA1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + { + if (ObjectDetails.ApparentGeocentricLongitude < SunDetails.ApparentGeocentricLongitude) + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestWesternElongationInRA; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestEasternElongationInRA; + } + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::OppositionInRA; + double fraction = 0; + const double Extremum = CAAInterpolate::Extremum(LastConjuctionValueInRA1, LastConjuctionValueInRA0, ConjuctionValueInRA, fraction); + if ((object == Object::MERCURY) || (object == Object::VENUS)) + event.Value = Extremum; + else + event.Value = 12; + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastConjuctionValueInRA0 < ConjuctionValueInRA) && (LastConjuctionValueInRA0 < LastConjuctionValueInRA1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + event.type = (ObjectDetails.ApparentGeocentricDistance > 1) ? CAAPlanetaryPhenomenaDetails2::Type::SuperiorConjunctionInRA : CAAPlanetaryPhenomenaDetails2::Type::InferiorConjunctionInRA; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::ConjunctionInRA; + double fraction = 0; + event.Value = 0; + CAAInterpolate::Extremum(LastConjuctionValueInRA1, LastConjuctionValueInRA0, ConjuctionValueInRA, fraction); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + } + const double ElongationValue = CAAAngularSeparation::Separation(SunDetails.ApparentGeocentricRA, SunDetails.ApparentGeocentricDeclination, ObjectDetails.ApparentGeocentricRA, ObjectDetails.ApparentGeocentricDeclination); + if ((LastElongationValue0 != -1) && (LastElongationValue1 != -1)) + { + if ((LastElongationValue0 > ElongationValue) && (LastElongationValue0 > LastElongationValue1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + { + if (ObjectDetails.ApparentGeocentricLongitude < SunDetails.ApparentGeocentricLongitude) + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestWesternElongationInAngularDistance; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::GreatestEasternElongationInAngularDistance; + } + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::OppositionInAngularDistance; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastElongationValue1, LastElongationValue0, ElongationValue, fraction); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastElongationValue0 < ElongationValue) && (LastElongationValue0 < LastElongationValue1)) + { + CAAPlanetaryPhenomenaDetails2 event; + if ((object == Object::MERCURY) || (object == Object::VENUS)) + event.type = (ObjectDetails.ApparentGeocentricDistance > 1) ? CAAPlanetaryPhenomenaDetails2::Type::SuperiorConjunctionInAngularDistance : CAAPlanetaryPhenomenaDetails2::Type::InferiorConjunctionInAngularDistance; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::ConjunctionInAngularDistance; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastElongationValue1, LastElongationValue0, ElongationValue, fraction); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + } + if (LastConjuctionValueInRA0 != -1) + { + if (((LastConjuctionValueInRA0 < 6) && (ConjuctionValueInRA >= 6)) || ((LastConjuctionValueInRA0 > 6) && (ConjuctionValueInRA <= 6))) + { + double SunApparentGeocentricRAComparison = SunDetails.ApparentGeocentricRA; + double ObjectApparentGeocentricRAComparison = ObjectDetails.ApparentGeocentricRA; + if (fabs(ObjectApparentGeocentricRAComparison - SunApparentGeocentricRAComparison) > 12) + { + if (ObjectApparentGeocentricRAComparison > SunApparentGeocentricRAComparison) + SunApparentGeocentricRAComparison += 24; + else + ObjectApparentGeocentricRAComparison += 24; + } + CAAPlanetaryPhenomenaDetails2 event; + if (ObjectApparentGeocentricRAComparison > SunApparentGeocentricRAComparison) + event.type = CAAPlanetaryPhenomenaDetails2::Type::EasternQuadratureInRA; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::WesternQuadratureInRA; + const double fraction = (6 - LastConjuctionValueInRA0) / (ConjuctionValueInRA - LastConjuctionValueInRA0); + event.JD = LastJD + (fraction * StepInterval); + event.Value = 6; + events.push_back(event); + } + } + if (LastConjuctionValueInEclipticLongitude0 != -1) + { + if (((LastConjuctionValueInEclipticLongitude0 < 90) && (ConjuctionValueInEclipticLongitude >= 90)) || ((LastConjuctionValueInEclipticLongitude0 > 90) && (ConjuctionValueInEclipticLongitude <= 90))) + { + double SunApparentGeocentricEclipticLongitudeComparison = SunDetails.ApparentGeocentricLongitude; + double ObjectApparentGeocentricEclipticLongitudeComparison = ObjectDetails.ApparentGeocentricLongitude; + if (fabs(ObjectApparentGeocentricEclipticLongitudeComparison - SunApparentGeocentricEclipticLongitudeComparison) > 180) + { + if (ObjectApparentGeocentricEclipticLongitudeComparison > SunApparentGeocentricEclipticLongitudeComparison) + SunApparentGeocentricEclipticLongitudeComparison += 360; + else + ObjectApparentGeocentricEclipticLongitudeComparison += 360; + } + CAAPlanetaryPhenomenaDetails2 event; + if (ObjectApparentGeocentricEclipticLongitudeComparison > SunApparentGeocentricEclipticLongitudeComparison) + event.type = CAAPlanetaryPhenomenaDetails2::Type::EasternQuadratureInEclipticLongitude; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::WesternQuadratureInEclipticLongitude; + const double fraction = (90 - LastConjuctionValueInEclipticLongitude0) / (ConjuctionValueInEclipticLongitude - LastConjuctionValueInEclipticLongitude0); + event.JD = LastJD + (fraction * StepInterval); + event.Value = 90; + events.push_back(event); + } + } + if (LastElongationValue0 != -1) + { + if (((LastElongationValue0 < 90) && (ElongationValue >= 90)) || ((LastElongationValue0 > 90) && (ElongationValue <= 90))) + { + double SunApparentGeocentricLongitudeComparison = SunDetails.ApparentGeocentricLongitude; + double ObjectApparentGeocentricLongitudeComparison = ObjectDetails.ApparentGeocentricLongitude; + if (fabs(ObjectApparentGeocentricLongitudeComparison - SunApparentGeocentricLongitudeComparison) > 180) + { + if (ObjectApparentGeocentricLongitudeComparison > SunApparentGeocentricLongitudeComparison) + SunApparentGeocentricLongitudeComparison += 360; + else + ObjectApparentGeocentricLongitudeComparison += 360; + } + CAAPlanetaryPhenomenaDetails2 event; + if (ObjectApparentGeocentricLongitudeComparison > SunApparentGeocentricLongitudeComparison) + event.type = CAAPlanetaryPhenomenaDetails2::Type::EasternQuadratureInAngularDistance; + else + event.type = CAAPlanetaryPhenomenaDetails2::Type::WesternQuadratureInAngularDistance; + const double fraction = (90 - LastElongationValue0) / (ElongationValue - LastElongationValue0); + event.JD = LastJD + (fraction * StepInterval); + event.Value = 90; + events.push_back(event); + } + } + const double StationValueInEclipticLongitude = ObjectDetails.ApparentGeocentricLongitude; + if ((LastStationValueInEclipticLongitude0 != -1) && (LastStationValueInEclipticLongitude1 != -1)) + { + double LastStationValueForInterpolationInEclipticLongitude0 = LastStationValueInEclipticLongitude0; + double LastStationValueForInterpolationInEclipticLongitude1 = LastStationValueInEclipticLongitude1; + double StationValueForInterpolationInEclipticLongitude = StationValueInEclipticLongitude; + CorrectLongitudeValuesForInterpolation(LastStationValueForInterpolationInEclipticLongitude1, LastStationValueForInterpolationInEclipticLongitude0, StationValueForInterpolationInEclipticLongitude); + if ((LastStationValueForInterpolationInEclipticLongitude0 > StationValueForInterpolationInEclipticLongitude) && (LastStationValueForInterpolationInEclipticLongitude0 > LastStationValueForInterpolationInEclipticLongitude1)) + { + CAAPlanetaryPhenomenaDetails2 event; + event.type = CAAPlanetaryPhenomenaDetails2::Type::Station1InEclipticLongitude; + double fraction = 0; + event.Value = CAACoordinateTransformation::MapTo0To360Range(CAAInterpolate::Extremum(LastStationValueForInterpolationInEclipticLongitude1, LastStationValueForInterpolationInEclipticLongitude0, StationValueForInterpolationInEclipticLongitude, fraction)); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastStationValueForInterpolationInEclipticLongitude0 < StationValueForInterpolationInEclipticLongitude) && (LastStationValueForInterpolationInEclipticLongitude0 < LastStationValueForInterpolationInEclipticLongitude1)) + { + CAAPlanetaryPhenomenaDetails2 event; + event.type = CAAPlanetaryPhenomenaDetails2::Type::Station2InEclipticLongitude; + double fraction = 0; + event.Value = CAACoordinateTransformation::MapTo0To360Range(CAAInterpolate::Extremum(LastStationValueForInterpolationInEclipticLongitude1, LastStationValueForInterpolationInEclipticLongitude0, StationValueForInterpolationInEclipticLongitude, fraction)); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + } + const double StationValueInRA = ObjectDetails.ApparentGeocentricRA; + if ((LastStationValueInRA0 != -1) && (LastStationValueInRA1 != -1)) + { + double LastStationValueForInterpolationInRA0 = LastStationValueInRA0; + double LastStationValueForInterpolationInRA1 = LastStationValueInRA1; + double StationValueForInterpolationInRA = StationValueInRA; + CorrectRAValuesForInterpolation(LastStationValueForInterpolationInRA1, LastStationValueForInterpolationInRA0, StationValueForInterpolationInRA); + if ((LastStationValueForInterpolationInRA0 > StationValueForInterpolationInRA) && (LastStationValueForInterpolationInRA0 > LastStationValueForInterpolationInRA1)) + { + CAAPlanetaryPhenomenaDetails2 event; + event.type = CAAPlanetaryPhenomenaDetails2::Type::Station1InRA; + double fraction = 0; + event.Value = CAACoordinateTransformation::MapTo0To24Range(CAAInterpolate::Extremum(LastStationValueForInterpolationInRA1, LastStationValueForInterpolationInRA0, StationValueForInterpolationInRA, fraction)); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastStationValueForInterpolationInRA0 < StationValueForInterpolationInRA) && (LastStationValueForInterpolationInRA0 < LastStationValueForInterpolationInRA1)) + { + CAAPlanetaryPhenomenaDetails2 event; + event.type = CAAPlanetaryPhenomenaDetails2::Type::Station2InRA; + double fraction = 0; + event.Value = CAACoordinateTransformation::MapTo0To24Range(CAAInterpolate::Extremum(LastStationValueForInterpolationInRA1, LastStationValueForInterpolationInRA0, StationValueForInterpolationInRA, fraction)); + event.JD = LastJD + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastConjuctionValueInEclipticLongitude1 = LastConjuctionValueInEclipticLongitude0; + LastConjuctionValueInEclipticLongitude0 = ConjuctionValueInEclipticLongitude; + LastConjuctionValueInRA1 = LastConjuctionValueInRA0; + LastConjuctionValueInRA0 = ConjuctionValueInRA; + LastElongationValue1 = LastElongationValue0; + LastElongationValue0 = ElongationValue; + LastStationValueInEclipticLongitude1 = LastStationValueInEclipticLongitude0; + LastStationValueInEclipticLongitude0 = StationValueInEclipticLongitude; + LastStationValueInRA1 = LastStationValueInRA0; + LastStationValueInRA0 = StationValueInRA; + LastJD = JD; + JD += StepInterval; + } + + return events; +} + +void CAAPlanetaryPhenomena2::CorrectRAValuesForInterpolation(double& Alpha1, double& Alpha2, double& Alpha3) noexcept +{ + //Ensure the RA values are corrected for interpolation. Due to important Remark 2 by Meeus on Interopolation of RA values + Alpha1 = CAACoordinateTransformation::MapTo0To24Range(Alpha1); + Alpha2 = CAACoordinateTransformation::MapTo0To24Range(Alpha2); + Alpha3 = CAACoordinateTransformation::MapTo0To24Range(Alpha3); + if (fabs(Alpha2 - Alpha1) > 12.0) + { + if (Alpha2 > Alpha1) + Alpha1 += 24; + else + Alpha2 += 24; + } + if (fabs(Alpha3 - Alpha2) > 12.0) + { + if (Alpha3 > Alpha2) + Alpha2 += 24; + else + Alpha3 += 24; + } + if (fabs(Alpha2 - Alpha1) > 12.0) + { + if (Alpha2 > Alpha1) + Alpha1 += 24; + else + Alpha2 += 24; + } + if (fabs(Alpha3 - Alpha2) > 12.0) + { + if (Alpha3 > Alpha2) + Alpha2 += 24; + else + Alpha3 += 24; + } +} + +void CAAPlanetaryPhenomena2::CorrectLongitudeValuesForInterpolation(double& Long1, double& Long2, double& Long3) noexcept +{ + //Ensure the Longitude values are corrected for interpolation. Due to important Remark 2 by Meeus on Interopolation of Longitude values + Long1 = CAACoordinateTransformation::MapTo0To360Range(Long1); + Long2 = CAACoordinateTransformation::MapTo0To360Range(Long2); + Long3 = CAACoordinateTransformation::MapTo0To360Range(Long3); + if (fabs(Long2 - Long1) > 180) + { + if (Long2 > Long1) + Long1 += 360; + else + Long2 += 360; + } + if (fabs(Long3 - Long2) > 180) + { + if (Long3 > Long2) + Long2 += 360; + else + Long3 += 360; + } + if (fabs(Long2 - Long1) > 180) + { + if (Long2 > Long1) + Long1 += 360; + else + Long2 += 360; + } + if (fabs(Long3 - Long2) > 180) + { + if (Long3 > Long2) + Long2 += 360; + else + Long3 += 360; + } +} diff --git a/Sources/AAPlus/AAPrecession.cpp b/Sources/AAPlus/AAPrecession.cpp new file mode 100644 index 0000000..88b8e45 --- /dev/null +++ b/Sources/AAPlus/AAPrecession.cpp @@ -0,0 +1,195 @@ +/* +Module : AARPrecession.cpp +Purpose: Implementation for the algorithms for Precession +Created: PJN / 29-12-2003 +History: PJN / 12-11-2014 1. Fixed two transcription bugs in the CAAPrecession::PrecessEquatorial method. The "0.000344*T" term was + incorrectly using "0.0000344*T" when calculating "sigma" and the "0.000139*Tsquared" term was + incorrectly using "0.000138*Tsquared" when calculating "zeta". Thanks to Erik Grosse for reporting this bug. + The errors were so small that the values from the worked example of 21.b from the book ended up giving the + same results. If a longer timespan was used for the example instead of the 28 years then the errors would + have been easier to spot from the incorrect terms. + PJN / 20-03-2016 1.CAAPrecession::AdjustPositionUsingUniformProperMotion now ensures that the return value is in the + normalized range for right ascension and declination. + 2. CAAPrecession::AdjustPositionUsingMotionInSpace now ensures that the return value is in the + normalized range for right ascension and declination. + 3. CAAPrecession::PrecessEquatorial now ensures that the return value is in the + normalized range for right ascension and declination. + 4. CAAPrecession::PrecessEquatorialFK4 now ensures that the return value is in the + normalized range for right ascension and declination. + 5. CAAPrecession::PrecessEcliptic now ensures that the return value is in the normalized range for + ecliptic longitude and latitude. + 6. CAAPrecession::PrecessEquatorialFK4 now adds the Equinox correction to the returned right ascension. + Thanks to "Pavel" for reporting this issue. + 7. Optimized the code in CAAPrecession::PrecessEquatorial, CAAPrecession::PrecessEquatorialFK4 & + CAAPrecession::PrecessEcliptic. + PJN / 02-03-2018 1. Fixed a transcription bug in the CAAPrecession::PrecessEquatorial method. The "0.017998*tcubed" term + was incorrectly using "0.017988*tcubed" when calculating "sigma". Thanks to Michael McLaughlin for reporting + this bug. The errors were so small that the values from the worked example of 21.b from the book ended up + giving the same results. If a longer timespan was used for the example instead of the 28 years then the + errors would have been easier to spot from the incorrect terms. Hopefully this is the same transcription + error in this method! + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////////// Includes //////////////////////////////////// + +#include "stdafx.h" +#include "AAPrecession.h" +#include +using namespace std; + + +///////////////////////////////// Implementation ////////////////////////////// + +CAA2DCoordinate CAAPrecession::AdjustPositionUsingUniformProperMotion(double t, double Alpha, double Delta, double PMAlpha, double PMDelta) noexcept +{ + CAA2DCoordinate value; + value.X = CAACoordinateTransformation::MapTo0To24Range(Alpha + (PMAlpha * t / 3600)); + value.Y = CAACoordinateTransformation::MapToMinus90To90Range(Delta + (PMDelta * t / 3600)); + + return value; +} + +CAA2DCoordinate CAAPrecession::AdjustPositionUsingMotionInSpace(double r, double DeltaR, double t, double Alpha, double Delta, double PMAlpha, double PMDelta) noexcept +{ + //Convert DeltaR from km/s to Parsecs / Year + DeltaR /= 977792; + + //Convert from seconds of time to Radians / Year + PMAlpha /= 13751; + + //Convert from seconds of arc to Radians / Year + PMDelta /= 206265; + + //Now convert to radians + Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + + double x = r * cos(Delta) * cos(Alpha); + double y = r * cos(Delta) * sin(Alpha); + double z = r * sin(Delta); + + const double DeltaX = x/r*DeltaR - z*PMDelta*cos(Alpha) - y*PMAlpha; + const double DeltaY = y/r*DeltaR - z*PMDelta*sin(Alpha) + x*PMAlpha; + const double DeltaZ = z/r*DeltaR + r*PMDelta*cos(Delta); + + x += t*DeltaX; + y += t*DeltaY; + z += t*DeltaZ; + + CAA2DCoordinate value; + value.X = CAACoordinateTransformation::MapTo0To24Range(CAACoordinateTransformation::RadiansToHours(atan2(y, x))); + value.Y = CAACoordinateTransformation::RadiansToDegrees(atan2(z, sqrt(x*x + y*y))); + + return value; +} + +CAA2DCoordinate CAAPrecession::PrecessEquatorial(double Alpha, double Delta, double JD0, double JD) noexcept +{ + const double T = (JD0 - 2451545.0) / 36525; + const double Tsquared = T*T; + const double t = (JD - JD0) / 36525; + const double tsquared = t*t; + const double tcubed = tsquared * t; + + //Now convert to radians + Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + + const double sigma = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (2306.2181 + 1.39656*T - 0.000139*Tsquared)*t + (0.30188 - 0.000344*T)*tsquared + 0.017998*tcubed)); + const double zeta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (2306.2181 + 1.39656*T - 0.000139*Tsquared)*t + (1.09468 + 0.000066*T)*tsquared + 0.018203*tcubed)); + const double phi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (2004.3109 - 0.8533*T - 0.000217*Tsquared)*t - (0.42665 + 0.000217*T)*tsquared - 0.041833*tcubed)); + const double A = cos(Delta) * sin(Alpha + sigma); + const double B = cos(phi)*cos(Delta)*cos(Alpha + sigma) - sin(phi)*sin(Delta); + const double C = sin(phi)*cos(Delta)*cos(Alpha + sigma) + cos(phi)*sin(Delta); + + CAA2DCoordinate value; + value.X = CAACoordinateTransformation::MapTo0To24Range(CAACoordinateTransformation::RadiansToHours(atan2(A, B) + zeta)); + value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); + + return value; +} + +CAA2DCoordinate CAAPrecession::PrecessEquatorialFK4(double Alpha, double Delta, double JD0, double JD) noexcept +{ + const double T = (JD0 - 2415020.3135) / 36524.2199; + const double t = (JD - JD0) / 36524.2199; + const double tsquared = t*t; + const double tcubed = tsquared * t; + + //Now convert to radians + Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + + const double sigma = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (2304.250 + 1.396*T)*t + 0.302*tsquared + 0.018*tcubed)); + const double zeta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, 0.791*tsquared + 0.001*tcubed)) + sigma; + const double phi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (2004.682 - 0.853*T)*t - 0.426*tsquared - 0.042*tcubed)); + const double A = cos(Delta) * sin(Alpha + sigma); + const double B = cos(phi)*cos(Delta)*cos(Alpha + sigma) - sin(phi)*sin(Delta); + const double C = sin(phi)*cos(Delta)*cos(Alpha + sigma) + cos(phi)*sin(Delta); + + const double DeltaAlpha = CAACoordinateTransformation::DMSToDegrees(0, 0, 0.0775 + 0.0850*T); + CAA2DCoordinate value; + value.X = CAACoordinateTransformation::MapTo0To24Range(CAACoordinateTransformation::RadiansToHours(atan2(A, B) + zeta) + DeltaAlpha); + value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); + + return value; +} + +CAA2DCoordinate CAAPrecession::PrecessEcliptic(double Lambda, double Beta, double JD0, double JD) noexcept +{ + const double T = (JD0 - 2451545.0) / 36525; + const double Tsquared = T*T; + const double t = (JD - JD0) / 36525; + const double tsquared = t*t; + const double tcubed = tsquared * t; + + //Now convert to radians + Lambda = CAACoordinateTransformation::DegreesToRadians(Lambda); + Beta = CAACoordinateTransformation::DegreesToRadians(Beta); + + const double eta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (47.0029 - 0.06603*T + 0.000598*Tsquared)*t + (-0.03302 + 0.000598*T)*tsquared + 0.00006*tcubed)); + const double pi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, 174.876384*3600 + 3289.4789*T + 0.60622*Tsquared - (869.8089 + 0.50491*T)*t + 0.03536*tsquared)); + const double p = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, (5029.0966 + 2.22226*T - 0.000042*Tsquared)*t + (1.11113 - 0.000042*T)*tsquared - 0.000006*tcubed)); + const double A = cos(eta)*cos(Beta)*sin(pi - Lambda) - sin(eta)*sin(Beta); + const double B = cos(Beta)*cos(pi - Lambda); + const double C = cos(eta)*sin(Beta) + sin(eta)*cos(Beta)*sin(pi - Lambda); + + CAA2DCoordinate value; + value.X = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(p + pi - atan2(A, B))); + value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); + + return value; +} + +CAA2DCoordinate CAAPrecession::EquatorialPMToEcliptic(double Alpha, double Delta, double Beta, double PMAlpha, double PMDelta, double Epsilon) noexcept +{ + //Convert to radians + Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); + Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + Beta = CAACoordinateTransformation::DegreesToRadians(Beta); + + const double cosb = cos(Beta); + const double sinEpsilon = sin(Epsilon); + + CAA2DCoordinate value; + value.X = (PMDelta*sinEpsilon*cos(Alpha) + PMAlpha*cos(Delta)*(cos(Epsilon)*cos(Delta) + sinEpsilon*sin(Delta)*sin(Alpha)))/(cosb*cosb); + value.Y = (PMDelta*(cos(Epsilon)*cos(Delta) + sinEpsilon*sin(Delta)*sin(Alpha)) - PMAlpha*sinEpsilon*cos(Alpha)*cos(Delta))/cosb; + + return value; +} diff --git a/Vendor/AA+/1.6.3/AARefraction.cpp b/Sources/AAPlus/AARefraction.cpp old mode 100755 new mode 100644 similarity index 90% rename from Vendor/AA+/1.6.3/AARefraction.cpp rename to Sources/AAPlus/AARefraction.cpp index 7149b72..e187ca0 --- a/Vendor/AA+/1.6.3/AARefraction.cpp +++ b/Sources/AAPlus/AARefraction.cpp @@ -1,13 +1,13 @@ /* -Module : AAREFRACTION.CPP -Purpose: Implementation for the algorithms which model Atmospheric Refraction +Module : AARefraction.cpp +Purpose: Implementation for the algorithms which model Atmospheric refraction Created: PJN / 29-12-2003 History: PJN / 26-11-2010 1. CAARefraction::RefractionFromApparent now returns a constant refraction value for all altitudes below a certain limit. Thanks to mehrzad khoddam for prompting this update. 2. CAARefraction::RefractionFromTrue now returns a constant refraction value for all altitudes below a certain limit. Thanks to mehrzad khoddam for prompting this update. -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -33,7 +33,7 @@ using namespace std; /////////////////////////////////// Implementation //////////////////////////// -double CAARefraction::RefractionFromApparent(double Altitude, double Pressure, double Temperature) +double CAARefraction::RefractionFromApparent(double Altitude, double Pressure, double Temperature) noexcept { //return a constant value from this method if the altitude is below a specific value if (Altitude <= -1.6962987799993996) @@ -45,7 +45,7 @@ double CAARefraction::RefractionFromApparent(double Altitude, double Pressure, d return value; } -double CAARefraction::RefractionFromTrue(double Altitude, double Pressure, double Temperature) +double CAARefraction::RefractionFromTrue(double Altitude, double Pressure, double Temperature) noexcept { //return a constant value from this method if the altitude is below a specific value if (Altitude <= -1.9006387000003735) diff --git a/Vendor/AA+/1.6.3/AARiseTransitSet.cpp b/Sources/AAPlus/AARiseTransitSet.cpp old mode 100755 new mode 100644 similarity index 57% rename from Vendor/AA+/1.6.3/AARiseTransitSet.cpp rename to Sources/AAPlus/AARiseTransitSet.cpp index 1c52711..03c810d --- a/Vendor/AA+/1.6.3/AARiseTransitSet.cpp +++ b/Sources/AAPlus/AARiseTransitSet.cpp @@ -1,5 +1,5 @@ /* -Module : AARISETRANSITSET.CPP +Module : AARiseTransitSet.cpp Purpose: Implementation for the algorithms which obtain the Rise, Transit and Set times Created: PJN / 29-12-2003 History: PJN / 15-10-2004 1. bValid variable is now correctly set in CAARiseTransitSet::Rise if the objects does @@ -26,8 +26,19 @@ History: PJN / 15-10-2004 1. bValid variable is now correctly set in CAARiseTran Andrew Hood for prompting this update PJN / 12-10-2012 1. Refactored the code in CAARiseTransitSet::Calculate. PJN / 13-10-2012 1. Fixed a small typo in the AARiseTransitSet.cpp history comments. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + PJN / 10-04-2016 1. Introduction of a new bool CAARiseTransitSetDetails::bTransitValid member variable. It + turns out that celestial objects do not always transit in a 24 hour UTC day. Test code + has been added to AATest.cpp to fully exercise all the cases for the three boolean member + variables of bRiseValid, bTransitValid & bSetValid. Thanks to "Pavel" for reporting this + issue. + PJN / 74-04-2017 1. Revisited the fix for interpolating RA values which was made on 28-03-2009. This new + fix should resolve this issue for good. Thanks to Gudni G. Sigurdsson for reporting this + bug. + PJN / 24-07-2018 1. Fixed a GCC warning in the CAARiseTransitSetDetails constructor. Thanks to Todd Carnes + for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -56,7 +67,7 @@ using namespace std; ///////////////////////////// Implementation ////////////////////////////////// -void CAARiseTransitSet::ConstraintM(double& M) +void CAARiseTransitSet::ConstraintM(double& M) noexcept { while (M > 1) M -= 1; @@ -64,7 +75,7 @@ void CAARiseTransitSet::ConstraintM(double& M) M += 1; } -double CAARiseTransitSet::CalculateTransit(double Alpha2, double theta0, double Longitude) +double CAARiseTransitSet::CalculateTransit(double Alpha2, double theta0, double Longitude) noexcept { //Calculate and ensure the M0 is in the range 0 to +1 double M0 = (Alpha2*15 + Longitude - theta0) / 360; @@ -73,7 +84,7 @@ double CAARiseTransitSet::CalculateTransit(double Alpha2, double theta0, double return M0; } -void CAARiseTransitSet::CalculateRiseSet(double M0, double cosH0, CAARiseTransitSetDetails& details, double& M1, double& M2) +void CAARiseTransitSet::CalculateRiseSet(double M0, double cosH0, CAARiseTransitSetDetails& details, double& M1, double& M2) noexcept { M1 = 0; M2 = 0; @@ -98,20 +109,43 @@ void CAARiseTransitSet::CalculateRiseSet(double M0, double cosH0, CAARiseTransit details.bTransitAboveHorizon = true; } -void CAARiseTransitSet::CorrectRAValuesForInterpolation(double& Alpha1, double& Alpha2, double& Alpha3) +void CAARiseTransitSet::CorrectRAValuesForInterpolation(double& Alpha1, double& Alpha2, double& Alpha3) noexcept { //Ensure the RA values are corrected for interpolation. Due to important Remark 2 by Meeus on Interopolation of RA values - if ((Alpha2 - Alpha1) > 12.0) - Alpha1 += 24; - else if ((Alpha2 - Alpha1) < -12.0) - Alpha2 += 24; - if ((Alpha3 - Alpha2) > 12.0) - Alpha2 += 24; - else if ((Alpha3 - Alpha2) < -12.0) - Alpha3 += 24; + Alpha1 = CAACoordinateTransformation::MapTo0To24Range(Alpha1); + Alpha2 = CAACoordinateTransformation::MapTo0To24Range(Alpha2); + Alpha3 = CAACoordinateTransformation::MapTo0To24Range(Alpha3); + if (fabs(Alpha2 - Alpha1) > 12.0) + { + if (Alpha2 > Alpha1) + Alpha1 += 24; + else + Alpha2 += 24; + } + if (fabs(Alpha3 - Alpha2) > 12.0) + { + if (Alpha3 > Alpha2) + Alpha2 += 24; + else + Alpha3 += 24; + } + if (fabs(Alpha2 - Alpha1) > 12.0) + { + if (Alpha2 > Alpha1) + Alpha1 += 24; + else + Alpha2 += 24; + } + if (fabs(Alpha3 - Alpha2) > 12.0) + { + if (Alpha3 > Alpha2) + Alpha2 += 24; + else + Alpha3 += 24; + } } -void CAARiseTransitSet::CalculateRiseHelper(const CAARiseTransitSetDetails& details, double theta0, double deltaT, double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, double Longitude, double Latitude, double LatitudeRad, double h0, double& M1) +void CAARiseTransitSet::CalculateRiseHelper(CAARiseTransitSetDetails& details, double theta0, double deltaT, double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, double Longitude, double Latitude, double LatitudeRad, double h0, double& M1) noexcept { for (int i=0; i<2; i++) { @@ -121,21 +155,24 @@ void CAARiseTransitSet::CalculateRiseHelper(const CAARiseTransitSetDetails& deta double theta1 = theta0 + 360.985647*M1; theta1 = CAACoordinateTransformation::MapTo0To360Range(theta1); - double n = M1 + deltaT/86400; + const double n = M1 + deltaT/86400; - double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); - double Delta = CAAInterpolate::Interpolate(n, Delta1, Delta2, Delta3); + const double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); + const double Delta = CAAInterpolate::Interpolate(n, Delta1, Delta2, Delta3); - double H = theta1 - Longitude - Alpha*15; - CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(H/15, Delta, Latitude); + const double H = theta1 - Longitude - Alpha*15; + const CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(H/15, Delta, Latitude); double DeltaM = (Horizontal.Y - h0) / (360*cos(CAACoordinateTransformation::DegreesToRadians(Delta))*cos(LatitudeRad)*sin(CAACoordinateTransformation::DegreesToRadians(H))); M1 += DeltaM; + + if ((M1 < 0) || (M1 >= 1)) + details.bRiseValid = false; } } } -void CAARiseTransitSet::CalculateSetHelper(const CAARiseTransitSetDetails& details, double theta0, double deltaT, double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, double Longitude, double Latitude, double LatitudeRad, double h0, double& M2) +void CAARiseTransitSet::CalculateSetHelper(CAARiseTransitSetDetails& details, double theta0, double deltaT, double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, double Longitude, double Latitude, double LatitudeRad, double h0, double& M2) noexcept { for (int i=0; i<2; i++) { @@ -145,39 +182,48 @@ void CAARiseTransitSet::CalculateSetHelper(const CAARiseTransitSetDetails& detai double theta1 = theta0 + 360.985647*M2; theta1 = CAACoordinateTransformation::MapTo0To360Range(theta1); - double n = M2 + deltaT/86400; + const double n = M2 + deltaT/86400; - double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); - double Delta = CAAInterpolate::Interpolate(n, Delta1, Delta2, Delta3); + const double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); + const double Delta = CAAInterpolate::Interpolate(n, Delta1, Delta2, Delta3); - double H = theta1 - Longitude - Alpha*15; - CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(H/15, Delta, Latitude); + const double H = theta1 - Longitude - Alpha*15; + const CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(H/15, Delta, Latitude); double DeltaM = (Horizontal.Y - h0) / (360*cos(CAACoordinateTransformation::DegreesToRadians(Delta))*cos(LatitudeRad)*sin(CAACoordinateTransformation::DegreesToRadians(H))); M2 += DeltaM; + + if ((M2 < 0) || (M2 >= 1)) + details.bSetValid = false; } } } -void CAARiseTransitSet::CalculateTransitHelper(double theta0, double deltaT, double Alpha1, double Alpha2, double Alpha3, double Longitude, double& M0) +void CAARiseTransitSet::CalculateTransitHelper(CAARiseTransitSetDetails& details, double theta0, double deltaT, double Alpha1, double Alpha2, double Alpha3, double Longitude, double& M0) noexcept { for (int i=0; i<2; i++) { //Calculate the details of transit - double theta1 = theta0 + 360.985647*M0; - theta1 = CAACoordinateTransformation::MapTo0To360Range(theta1); + if (details.bTransitValid) + { + double theta1 = theta0 + 360.985647*M0; + theta1 = CAACoordinateTransformation::MapTo0To360Range(theta1); + + const double n = M0 + deltaT / 86400; - double n = M0 + deltaT/86400; + const double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); - double Alpha = CAAInterpolate::Interpolate(n, Alpha1, Alpha2, Alpha3); + double H = theta1 - Longitude - Alpha * 15; + H = CAACoordinateTransformation::MapTo0To360Range(H); + if (H > 180) + H -= 360; - double H = theta1 - Longitude - Alpha*15; - H = CAACoordinateTransformation::MapTo0To360Range(H); - if (H > 180) - H -= 360; + double DeltaM = -H / 360; + M0 += DeltaM; - double DeltaM = -H / 360; - M0 += DeltaM; + if (M0 < 0 || M0 >= 1) + details.bTransitValid = false; + } } } @@ -187,6 +233,7 @@ CAARiseTransitSetDetails CAARiseTransitSet::Calculate(double JD, double Alpha1, CAARiseTransitSetDetails details; details.bRiseValid = false; details.bSetValid = false; + details.bTransitValid = true; details.bTransitAboveHorizon = false; //Calculate the sidereal time @@ -194,17 +241,17 @@ CAARiseTransitSetDetails CAARiseTransitSet::Calculate(double JD, double Alpha1, theta0 *= 15; //Express it as degrees //Calculate deltat - double deltaT = CAADynamicalTime::DeltaT(JD); + const double deltaT = CAADynamicalTime::DeltaT(JD); //Convert values to radians - double Delta2Rad = CAACoordinateTransformation::DegreesToRadians(Delta2); - double LatitudeRad = CAACoordinateTransformation::DegreesToRadians(Latitude); + const double Delta2Rad = CAACoordinateTransformation::DegreesToRadians(Delta2); + const double LatitudeRad = CAACoordinateTransformation::DegreesToRadians(Latitude); //Convert the standard latitude to radians - double h0Rad = CAACoordinateTransformation::DegreesToRadians(h0); + const double h0Rad = CAACoordinateTransformation::DegreesToRadians(h0); //Calculate cosH0 - double cosH0 = (sin(h0Rad) - sin(LatitudeRad)*sin(Delta2Rad)) / (cos(LatitudeRad) * cos(Delta2Rad)); + const double cosH0 = (sin(h0Rad) - sin(LatitudeRad)*sin(Delta2Rad)) / (cos(LatitudeRad) * cos(Delta2Rad)); //Calculate M0 double M0 = CalculateTransit(Alpha2, theta0, Longitude); @@ -216,15 +263,15 @@ CAARiseTransitSetDetails CAARiseTransitSet::Calculate(double JD, double Alpha1, //Ensure the RA values are corrected for interpolation. Due to important Remark 2 by Meeus on Interopolation of RA values CorrectRAValuesForInterpolation(Alpha1, Alpha2, Alpha3); - + //Do the main work - CalculateTransitHelper(theta0, deltaT, Alpha1, Alpha2, Alpha3, Longitude, M0); + CalculateTransitHelper(details, theta0, deltaT, Alpha1, Alpha2, Alpha3, Longitude, M0); CalculateRiseHelper(details, theta0, deltaT, Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, Longitude, Latitude, LatitudeRad, h0, M1); CalculateSetHelper(details, theta0, deltaT, Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, Longitude, Latitude, LatitudeRad, h0, M2); details.Rise = details.bRiseValid ? (M1 * 24) : 0.0; details.Set = details.bSetValid ? (M2 * 24) : 0.0; - details.Transit = M0 * 24; //We always return the transit time even if it occurs below the horizon + details.Transit = details.bTransitValid ? (M0 * 24) : 0.0; return details; } diff --git a/Sources/AAPlus/AASaturn.cpp b/Sources/AAPlus/AASaturn.cpp new file mode 100644 index 0000000..25be98d --- /dev/null +++ b/Sources/AAPlus/AASaturn.cpp @@ -0,0 +1,924 @@ +/* +Module : AASaturn.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Saturn +Created: PJN / 29-12-2003 +History: PJN / 31-05-2004 1) In CAASaturn::EclipticLongitude the g_L5SaturnCoefficients[] were + not included. Thanks to Brian Orme for reporting this problem. + 2) In CAASaturn::EclipticLatitude the g_B5SaturnCoefficients[] were + not included. Thanks to Brian Orme for reporting this problem. + 3) In CAASaturn::RadiusVector the g_R5SaturnCoefficients[] were not + included. Thanks to Brian Orme for reporting this problem. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the twenty ninth coefficient used to calculate + the B2 term for the ecliptic latitude of Saturn. Thanks to Isaac Clark for + reporting this issue. Spot tests indicate that this change only affected the + ecliptic latitude in the twelfth decimal place. + 2. Updated copyright details + PJN / 16-09-2015 1. CAASaturn::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AASaturn.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AASaturn.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_SAT.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +//////////////////////////// Macros / Defines ///////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0SaturnCoefficients +{ { + { 87401354, 0, 0 }, + { 11107660, 3.96205090, 213.29909544 }, + { 1414151, 4.5858152, 7.1135470 }, + { 398379, 0.521120, 206.185548 }, + { 350769, 3.303299, 426.598191 }, + { 206816, 0.246584, 103.092774 }, + { 79271, 3.84007, 220.41264 }, + { 23990, 4.66977, 110.20632 }, + { 16574, 0.43719, 419.48464 }, + { 15820, 0.93809, 632.78374 }, + { 15054, 2.71670, 639.89729 }, + { 14907, 5.76903, 316.39187 }, + { 14610, 1.56519, 3.93215 }, + { 13160, 4.44891, 14.22709 }, + { 13005, 5.98119, 11.04570 }, + { 10725, 3.12940, 202.25340 }, + { 6126, 1.7633, 277.0350 }, + { 5863, 0.2366, 529.6910 }, + { 5228, 4.2078, 3.1814 }, + { 5020, 3.1779, 433.7117 }, + { 4593, 0.6198, 199.0720 }, + { 4006, 2.2448, 63.7359 }, + { 3874, 3.2228, 138.5175 }, + { 3269, 0.7749, 949.1756 }, + { 2954, 0.9828, 95.9792 }, + { 2461, 2.0316, 735.8765 }, + { 1758, 3.2658, 522.5774 }, + { 1640, 5.5050, 846.0828 }, + { 1581, 4.3727, 309.2783 }, + { 1391, 4.0233, 323.5054 }, + { 1124, 2.8373, 415.5525 }, + { 1087, 4.1834, 2.4477 }, + { 1017, 3.7170, 227.5262 }, + { 957, 0.507, 1265.567 }, + { 853, 3.421, 175.166 }, + { 849, 3.191, 209.367 }, + { 789, 5.007, 0.963 }, + { 749, 2.144, 853.196 }, + { 744, 5.253, 224.345 }, + { 687, 1.747, 1052.268 }, + { 654, 1.599, 0.048 }, + { 634, 2.299, 412.371 }, + { 625, 0.970, 210.118 }, + { 580, 3.093, 74.782 }, + { 546, 2.127, 350.332 }, + { 543, 1.518, 9.561 }, + { 530, 4.449, 117.320 }, + { 478, 2.965, 137.033 }, + { 474, 5.475, 742.990 }, + { 452, 1.044, 490.334 }, + { 449, 1.290, 127.472 }, + { 372, 2.278, 217.231 }, + { 355, 3.013, 838.969 }, + { 347, 1.539, 340.771 }, + { 343, 0.246, 0.521 }, + { 330, 0.247, 1581.959 }, + { 322, 0.961, 203.738 }, + { 322, 2.572, 647.011 }, + { 309, 3.495, 216.480 }, + { 287, 2.370, 351.817 }, + { 278, 0.400, 211.815 }, + { 249, 1.470, 1368.660 }, + { 227, 4.910, 12.530 }, + { 220, 4.204, 200.769 }, + { 209, 1.345, 625.670 }, + { 208, 0.483, 1162.475 }, + { 208, 1.283, 39.357 }, + { 204, 6.011, 265.989 }, + { 185, 3.503, 149.563 }, + { 184, 0.973, 4.193 }, + { 182, 5.491, 2.921 }, + { 174, 1.863, 0.751 }, + { 165, 0.440, 5.417 }, + { 149, 5.736, 52.690 }, + { 148, 1.535, 5.629 }, + { 146, 6.231, 195.140 }, + { 140, 4.295, 21.341 }, + { 131, 4.068, 10.295 }, + { 125, 6.277, 1898.351 }, + { 122, 1.976, 4.666 }, + { 118, 5.341, 554.070 }, + { 117, 2.679, 1155.361 }, + { 114, 5.594, 1059.382 }, + { 112, 1.105, 191.208 }, + { 110, 0.166, 1.484 }, + { 109, 3.438, 536.805 }, + { 107, 4.012, 956.289 }, + { 104, 2.192, 88.866 }, + { 103, 1.197, 1685.052 }, + { 101, 4.965, 269.921 } +} }; + +constexpr array g_L1SaturnCoefficients +{ { + { 21354295596.0, 0, 0 }, + { 1296855, 1.8282054, 213.2990954 }, + { 564348, 2.885001, 7.113547 }, + { 107679, 2.277699, 206.185548 }, + { 98323, 1.08070, 426.59819 }, + { 40255, 2.04128, 220.41264 }, + { 19942, 1.27955, 103.09277 }, + { 10512, 2.74880, 14.22709 }, + { 6939, 0.4049, 639.8973 }, + { 4803, 2.4419, 419.4846 }, + { 4056, 2.9217, 110.2063 }, + { 3769, 3.6497, 3.9322 }, + { 3385, 2.4169, 3.1814 }, + { 3302, 1.2626, 433.7117 }, + { 3071, 2.3274, 199.0720 }, + { 1953, 3.5639, 11.0457 }, + { 1249, 2.6280, 95.9792 }, + { 922, 1.961, 227.526 }, + { 706, 4.417, 529.691 }, + { 650, 6.174, 202.253 }, + { 628, 6.111, 309.278 }, + { 487, 6.040, 853.196 }, + { 479, 4.988, 522.577 }, + { 468, 4.617, 63.736 }, + { 417, 2.117, 323.505 }, + { 408, 1.299, 209.367 }, + { 352, 2.317, 632.784 }, + { 344, 3.959, 412.371 }, + { 340, 3.634, 316.392 }, + { 336, 3.772, 735.877 }, + { 332, 2.861, 210.118 }, + { 289, 2.733, 117.320 }, + { 281, 5.744, 2.448 }, + { 266, 0.543, 647.011 }, + { 230, 1.644, 216.480 }, + { 192, 2.965, 224.345 }, + { 173, 4.077, 846.083 }, + { 167, 2.597, 21.341 }, + { 136, 2.286, 10.295 }, + { 131, 3.441, 742.990 }, + { 128, 4.095, 217.231 }, + { 109, 6.161, 415.552 }, + { 98, 4.73, 838.97 }, + { 94, 3.48, 1052.27 }, + { 92, 3.95, 88.87 }, + { 87, 1.22, 440.83 }, + { 83, 3.11, 625.67 }, + { 78, 6.24, 302.16 }, + { 67, 0.29, 4.67 }, + { 66, 5.65, 9.56 }, + { 62, 4.29, 127.47 }, + { 62, 1.83, 195.14 }, + { 58, 2.48, 191.96 }, + { 57, 5.02, 137.03 }, + { 55, 0.28, 74.78 }, + { 54, 5.13, 490.33 }, + { 51, 1.46, 536.80 }, + { 47, 1.18, 149.56 }, + { 47, 5.15, 515.46 }, + { 46, 2.23, 956.29 }, + { 44, 2.71, 5.42 }, + { 40, 0.41, 269.92 }, + { 40, 3.89, 728.76 }, + { 38, 0.65, 422.67 }, + { 38, 2.53, 12.53 }, + { 37, 3.78, 2.92 }, + { 35, 6.08, 5.63 }, + { 34, 3.21, 1368.66 }, + { 33, 4.64, 277.03 }, + { 33, 5.43, 1066.50 }, + { 33, 0.30, 351.82 }, + { 32, 4.39, 1155.36 }, + { 31, 2.43, 52.69 }, + { 30, 2.84, 203.00 }, + { 30, 6.19, 284.15 }, + { 30, 3.39, 1059.38 }, + { 29, 2.03, 330.62 }, + { 28, 2.74, 265.99 }, + { 26, 4.51, 340.77 } +} }; + +constexpr array g_L2SaturnCoefficients +{ { + { 116441, 1.179879, 7.113547 }, + { 91921, 0.07425, 213.29910 }, + { 90592, 0, 0 }, + { 15277, 4.06492, 206.18555 }, + { 10631, 0.25778, 220.41264 }, + { 10605, 5.40964, 426.59819 }, + { 4265, 1.0460, 14.2271 }, + { 1216, 2.9186, 103.0928 }, + { 1165, 4.6094, 639.8973 }, + { 1082, 5.6913, 433.7117 }, + { 1045, 4.0421, 199.0720 }, + { 1020, 0.6337, 3.1814 }, + { 634, 4.388, 419.485 }, + { 549, 5.573, 3.932 }, + { 457, 1.268, 110.206 }, + { 425, 0.209, 227.526 }, + { 274, 4.288, 95.979 }, + { 162, 1.381, 11.046 }, + { 129, 1.566, 309.278 }, + { 117, 3.881, 853.196 }, + { 105, 4.900, 647.011 }, + { 101, 0.893, 21.341 }, + { 96, 2.91, 316.39 }, + { 95, 5.63, 412.37 }, + { 85, 5.73, 209.37 }, + { 83, 6.05, 216.48 }, + { 82, 1.02, 117.32 }, + { 75, 4.76, 210.12 }, + { 67, 0.46, 522.58 }, + { 66, 0.48, 10.29 }, + { 64, 0.35, 323.51 }, + { 61, 4.88, 632.78 }, + { 53, 2.75, 529.69 }, + { 46, 5.69, 440.83 }, + { 45, 1.67, 202.25 }, + { 42, 5.71, 88.87 }, + { 32, 0.07, 63.74 }, + { 32, 1.67, 302.16 }, + { 31, 4.16, 191.96 }, + { 27, 0.83, 224.34 }, + { 25, 5.66, 735.88 }, + { 20, 5.94, 217.23 }, + { 18, 4.90, 625.67 }, + { 17, 1.63, 742.99 }, + { 16, 0.58, 515.46 }, + { 14, 0.21, 838.97 }, + { 14, 3.76, 195.14 }, + { 12, 4.72, 203.00 }, + { 12, 0.13, 234.64 }, + { 12, 3.12, 846.08 }, + { 11, 5.92, 536.80 }, + { 11, 5.60, 728.76 }, + { 11, 3.20, 1066.50 }, + { 10, 4.99, 422.67 }, + { 10, 0.26, 330.62 }, + { 10, 4.15, 860.31 }, + { 9, 0.46, 956.29 }, + { 8, 2.14, 269.92 }, + { 8, 5.25, 429.78 }, + { 8, 4.03, 9.56 }, + { 7, 5.40, 1052.27 }, + { 6, 4.46, 284.15 }, + { 6, 5.93, 405.26 } +} }; + +constexpr array g_L3SaturnCoefficients +{ { + { 16039, 5.73945, 7.11355 }, + { 4250, 4.5854, 213.2991 }, + { 1907, 4.7608, 220.4126 }, + { 1466, 5.9133, 206.1855 }, + { 1162, 5.6197, 14.2271 }, + { 1067, 3.6082, 426.5982 }, + { 239, 3.861, 433.712 }, + { 237, 5.768, 199.072 }, + { 166, 5.116, 3.181 }, + { 151, 2.736, 639.897 }, + { 131, 4.743, 227.526 }, + { 63, 0.23, 419.48 }, + { 62, 4.74, 103.09 }, + { 40, 5.47, 21.34 }, + { 40, 5.96, 95.98 }, + { 39, 5.83, 110.21 }, + { 28, 3.01, 647.01 }, + { 25, 0.99, 3.93 }, + { 19, 1.92, 853.20 }, + { 18, 4.97, 10.29 }, + { 18, 1.03, 412.37 }, + { 18, 4.20, 216.48 }, + { 18, 3.32, 309.28 }, + { 16, 3.90, 440.83 }, + { 16, 5.62, 117.32 }, + { 13, 1.18, 88.87 }, + { 11, 5.58, 11.05 }, + { 11, 5.93, 191.96 }, + { 10, 3.95, 209.37 }, + { 9, 3.39, 302.16 }, + { 8, 4.88, 323.51 }, + { 7, 0.38, 632.78 }, + { 6, 2.25, 522.58 }, + { 6, 1.06, 210.12 }, + { 5, 4.64, 234.64 }, + { 4, 3.14, 0 }, + { 4, 2.31, 515.46 }, + { 3, 2.20, 860.31 }, + { 3, 0.59, 529.69 }, + { 3, 4.93, 224.34 }, + { 3, 0.42, 625.67 }, + { 2, 4.77, 330.62 }, + { 2, 3.35, 429.78 }, + { 2, 3.20, 202.25 }, + { 2, 1.19, 1066.50 }, + { 2, 1.35, 405.26 }, + { 2, 4.16, 223.59 }, + { 2, 3.07, 654.12 } +} }; + +constexpr array g_L4SaturnCoefficients +{ { + { 1662, 3.9983, 7.1135 }, + { 257, 2.984, 220.413 }, + { 236, 3.902, 14.227 }, + { 149, 2.741, 213.299 }, + { 114, 3.142, 0 }, + { 110, 1.515, 206.186 }, + { 68, 1.72, 426.60 }, + { 40, 2.05, 433.71 }, + { 38, 1.24, 199.07 }, + { 31, 3.01, 227.53 }, + { 15, 0.83, 639.90 }, + { 9, 3.71, 21.34 }, + { 6, 2.42, 419.48 }, + { 6, 1.16, 647.01 }, + { 4, 1.45, 95.98 }, + { 4, 2.12, 440.83 }, + { 3, 4.09, 110.21 }, + { 3, 2.77, 412.37 }, + { 3, 3.01, 88.87 }, + { 3, 0.00, 853.20 }, + { 3, 0.39, 103.09 }, + { 2, 3.78, 117.32 }, + { 2, 2.83, 234.64 }, + { 2, 5.08, 309.28 }, + { 2, 2.24, 216.48 }, + { 2, 5.19, 302.16 }, + { 1, 1.55, 191.96 } +} }; + +constexpr array g_L5SaturnCoefficients +{ { + { 124, 2.259, 7.114 }, + { 34, 2.16, 14.23 }, + { 28, 1.20, 220.41 }, + { 6, 1.22, 227.53 }, + { 5, 0.24, 433.71 }, + { 4, 6.23, 426.60 }, + { 3, 2.97, 199.07 }, + { 3, 4.29, 206.19 }, + { 2, 6.25, 213.30 }, + { 1, 5.28, 639.90 }, + { 1, 0.24, 440.83 }, + { 1, 3.14, 0 } +} }; + +constexpr array g_B0SaturnCoefficients +{ { + { 4330678, 3.6028443, 213.2990954 }, + { 240348, 2.852385, 426.598191 }, + { 84746, 0, 0 }, + { 34116, 0.57297, 206.18555 }, + { 30863, 3.48442, 220.41264 }, + { 14734, 2.11847, 639.89729 }, + { 9917, 5.7900, 419.4846 }, + { 6994, 4.7360, 7.1135 }, + { 4808, 5.4331, 316.3919 }, + { 4788, 4.9651, 110.2063 }, + { 3432, 2.7326, 433.7117 }, + { 1506, 6.0130, 103.0928 }, + { 1060, 5.6310, 529.6910 }, + { 969, 5.204, 632.784 }, + { 942, 1.396, 853.196 }, + { 708, 3.803, 323.505 }, + { 552, 5.131, 202.253 }, + { 400, 3.359, 227.526 }, + { 319, 3.626, 209.367 }, + { 316, 1.997, 647.011 }, + { 314, 0.465, 217.231 }, + { 284, 4.886, 224.345 }, + { 236, 2.139, 11.046 }, + { 215, 5.950, 846.083 }, + { 209, 2.120, 415.552 }, + { 207, 0.730, 199.072 }, + { 179, 2.954, 63.736 }, + { 141, 0.644, 490.334 }, + { 139, 4.595, 14.227 }, + { 139, 1.998, 735.877 }, + { 135, 5.245, 742.990 }, + { 122, 3.115, 522.577 }, + { 116, 3.109, 216.480 }, + { 114, 0.963, 210.118 } +} }; + +constexpr array g_B1SaturnCoefficients +{ { + { 397555, 5.332900, 213.299095 }, + { 49479, 3.14159, 0 }, + { 18572, 6.09919, 426.59819 }, + { 14801, 2.30586, 206.18555 }, + { 9644, 1.6967, 220.4126 }, + { 3757, 1.2543, 419.4846 }, + { 2717, 5.9117, 639.8973 }, + { 1455, 0.8516, 433.7117 }, + { 1291, 2.9177, 7.1135 }, + { 853, 0.436, 316.392 }, + { 298, 0.919, 632.784 }, + { 292, 5.316, 853.196 }, + { 284, 1.619, 227.526 }, + { 275, 3.889, 103.093 }, + { 172, 0.052, 647.011 }, + { 166, 2.444, 199.072 }, + { 158, 5.209, 110.206 }, + { 128, 1.207, 529.691 }, + { 110, 2.457, 217.231 }, + { 82, 2.76, 210.12 }, + { 81, 2.86, 14.23 }, + { 69, 1.66, 202.25 }, + { 65, 1.26, 216.48 }, + { 61, 1.25, 209.37 }, + { 59, 1.82, 323.51 }, + { 46, 0.82, 440.83 }, + { 36, 1.82, 224.34 }, + { 34, 2.84, 117.32 }, + { 33, 1.31, 412.37 }, + { 32, 1.19, 846.08 }, + { 27, 4.65, 1066.50 }, + { 27, 4.44, 11.05 } +} }; + +constexpr array g_B2SaturnCoefficients +{ { + { 20630, 0.50482, 213.29910 }, + { 3720, 3.9983, 206.1855 }, + { 1627, 6.1819, 220.4126 }, + { 1346, 0, 0 }, + { 706, 3.039, 419.485 }, + { 365, 5.099, 426.598 }, + { 330, 5.279, 433.712 }, + { 219, 3.828, 639.897 }, + { 139, 1.043, 7.114 }, + { 104, 6.157, 227.526 }, + { 93, 1.98, 316.39 }, + { 71, 4.15, 199.07 }, + { 52, 2.88, 632.78 }, + { 49, 4.43, 647.01 }, + { 41, 3.16, 853.20 }, + { 29, 4.53, 210.12 }, + { 24, 1.12, 14.23 }, + { 21, 4.35, 217.23 }, + { 20, 5.31, 440.83 }, + { 18, 0.85, 110.21 }, + { 17, 5.68, 216.48 }, + { 16, 4.26, 103.09 }, + { 14, 3.00, 412.37 }, + { 12, 2.53, 529.69 }, + { 8, 3.32, 202.25 }, + { 7, 5.56, 209.37 }, + { 7, 0.29, 323.51 }, + { 6, 1.16, 117.32 }, + { 6, 3.61, 860.31 } +} }; + +constexpr array g_B3SaturnCoefficients +{ { + { 666, 1.990, 213.299 }, + { 632, 5.698, 206.186 }, + { 398, 0, 0 }, + { 188, 4.338, 220.413 }, + { 92, 4.84, 419.48 }, + { 52, 3.42, 433.71 }, + { 42, 2.38, 426.60 }, + { 26, 4.40, 227.53 }, + { 21, 5.85, 199.07 }, + { 18, 1.99, 639.90 }, + { 11, 5.37, 7.11 }, + { 10, 2.55, 647.01 }, + { 7, 3.46, 316.39 }, + { 6, 4.80, 632.78 }, + { 6, 0.02, 210.12 }, + { 6, 3.52, 440.83 }, + { 5, 5.64, 14.23 }, + { 5, 1.22, 853.20 }, + { 4, 4.71, 412.37 }, + { 3, 0.63, 103.09 }, + { 2, 3.72, 216.48 } +} }; + +constexpr array g_B4SaturnCoefficients +{ { + { 80, 1.12, 206.19 }, + { 32, 3.12, 213.30 }, + { 17, 2.48, 220.41 }, + { 12, 3.14, 0 }, + { 9, 0.38, 419.48 }, + { 6, 1.56, 433.71 }, + { 5, 2.63, 227.53 }, + { 5, 1.28, 199.07 }, + { 1, 1.43, 426.60 }, + { 1, 0.67, 647.01 }, + { 1, 1.72, 440.83 }, + { 1, 6.18, 639.90 } +} }; + +constexpr array g_B5SaturnCoefficients +{ { + { 8, 2.82, 206.19 }, + { 1, 0.51, 220.41 } +} }; + +constexpr array g_R0SaturnCoefficients +{ { + { 955758136, 0, 0 }, + { 52921382, 2.39226220, 213.29909544 }, + { 1873680, 5.2354961, 206.1855484 }, + { 1464664, 1.6476305, 426.5981909 }, + { 821891, 5.935200, 316.391870 }, + { 547507, 5.015326, 103.092774 }, + { 371684, 2.271148, 220.412642 }, + { 361778, 3.139043, 7.113547 }, + { 140618, 5.704067, 632.783739 }, + { 108975, 3.293136, 110.206321 }, + { 69007, 5.94100, 419.48464 }, + { 61053, 0.94038, 639.89729 }, + { 48913, 1.55733, 202.25340 }, + { 34144, 0.19519, 277.03499 }, + { 32402, 5.47085, 949.17561 }, + { 20937, 0.46349, 735.87651 }, + { 20839, 1.52103, 433.71174 }, + { 20747, 5.33256, 199.07200 }, + { 15298, 3.05944, 529.69097 }, + { 14296, 2.60434, 323.50542 }, + { 12884, 1.64892, 138.51750 }, + { 11993, 5.98051, 846.08283 }, + { 11380, 1.73106, 522.57742 }, + { 9796, 5.2048, 1265.5675 }, + { 7753, 5.8519, 95.9792 }, + { 6771, 3.0043, 14.2271 }, + { 6466, 0.1773, 1052.2684 }, + { 5850, 1.4552, 415.5525 }, + { 5307, 0.5974, 63.7359 }, + { 4696, 2.1492, 227.5262 }, + { 4044, 1.6401, 209.3669 }, + { 3688, 0.7802, 412.3711 }, + { 3461, 1.8509, 175.1661 }, + { 3420, 4.9455, 1581.9593 }, + { 3401, 0.5539, 350.3321 }, + { 3376, 3.6953, 224.3448 }, + { 2976, 5.6847, 210.1177 }, + { 2885, 1.3876, 838.9693 }, + { 2881, 0.1796, 853.1964 }, + { 2508, 3.5385, 742.9901 }, + { 2448, 6.1841, 1368.6603 }, + { 2406, 2.9656, 117.3199 }, + { 2174, 0.0151, 340.7709 }, + { 2024, 5.0541, 11.0457 } +} }; + +constexpr array g_R1SaturnCoefficients +{ { + { 6182981, 0.2584352, 213.2990954 }, + { 506578, 0.711147, 206.185548 }, + { 341394, 5.796358, 426.598191 }, + { 188491, 0.472157, 220.412642 }, + { 186262, 3.141593, 0 }, + { 143891, 1.407449, 7.113547 }, + { 49621, 6.01744, 103.09277 }, + { 20928, 5.09246, 639.89729 }, + { 19953, 1.17560, 419.48464 }, + { 18840, 1.60820, 110.20632 }, + { 13877, 0.75886, 199.07200 }, + { 12893, 5.94330, 433.71174 }, + { 5397, 1.2885, 14.2271 }, + { 4869, 0.8679, 323.5054 }, + { 4247, 0.3930, 227.5262 }, + { 3252, 1.2585, 95.9792 }, + { 3081, 3.4366, 522.5774 }, + { 2909, 4.6068, 202.2534 }, + { 2856, 2.1673, 735.8765 }, + { 1988, 2.4505, 412.3711 }, + { 1941, 6.0239, 209.3669 }, + { 1581, 1.2919, 210.1177 }, + { 1340, 4.3080, 853.1964 }, + { 1316, 1.2530, 117.3199 }, + { 1203, 1.8665, 316.3919 }, + { 1091, 0.0753, 216.4805 }, + { 966, 0.480, 632.784 }, + { 954, 5.152, 647.011 }, + { 898, 0.983, 529.691 }, + { 882, 1.885, 1052.268 }, + { 874, 1.402, 224.345 }, + { 785, 3.064, 838.969 }, + { 740, 1.382, 625.670 }, + { 658, 4.144, 309.278 }, + { 650, 1.725, 742.990 }, + { 613, 3.033, 63.736 }, + { 599, 2.549, 217.231 }, + { 503, 2.130, 3.932 } +} }; + +constexpr array g_R2SaturnCoefficients +{ { + { 436902, 4.786717, 213.299095 }, + { 71923, 2.50070, 206.18555 }, + { 49767, 4.97168, 220.41264 }, + { 43221, 3.86940, 426.59819 }, + { 29646, 5.96310, 7.11355 }, + { 4721, 2.4753, 199.0720 }, + { 4142, 4.1067, 433.7117 }, + { 3789, 3.0977, 639.8973 }, + { 2964, 1.3721, 103.0928 }, + { 2556, 2.8507, 419.4846 }, + { 2327, 0, 0 }, + { 2208, 6.2759, 110.2063 }, + { 2188, 5.8555, 14.2271 }, + { 1957, 4.9245, 227.5262 }, + { 924, 5.464, 323.505 }, + { 706, 2.971, 95.979 }, + { 546, 4.129, 412.371 }, + { 431, 5.178, 522.577 }, + { 405, 4.173, 209.367 }, + { 391, 4.481, 216.480 }, + { 374, 5.834, 117.320 }, + { 361, 3.277, 647.011 }, + { 356, 3.192, 210.118 }, + { 326, 2.269, 853.196 }, + { 207, 4.022, 735.877 }, + { 204, 0.088, 202.253 }, + { 180, 3.597, 632.784 }, + { 178, 4.097, 440.825 }, + { 154, 3.135, 625.670 }, + { 148, 0.136, 302.165 }, + { 133, 2.594, 191.958 }, + { 132, 5.933, 309.278 } +} }; + +constexpr array g_R3SaturnCoefficients +{ { + { 20315, 3.02187, 213.29910 }, + { 8924, 3.1914, 220.4126 }, + { 6909, 4.3517, 206.1855 }, + { 4087, 4.2241, 7.1135 }, + { 3879, 2.0106, 426.5982 }, + { 1071, 4.2036, 199.0720 }, + { 907, 2.283, 433.712 }, + { 606, 3.175, 227.526 }, + { 597, 4.135, 14.227 }, + { 483, 1.173, 639.897 }, + { 393, 0, 0 }, + { 229, 4.698, 419.485 }, + { 188, 4.590, 110.206 }, + { 150, 3.202, 103.093 }, + { 121, 3.768, 323.505 }, + { 102, 4.710, 95.979 }, + { 101, 5.819, 412.371 }, + { 93, 1.44, 647.01 }, + { 84, 2.63, 216.48 }, + { 73, 4.15, 117.32 }, + { 62, 2.31, 440.83 }, + { 55, 0.31, 853.20 }, + { 50, 2.39, 209.37 }, + { 45, 4.37, 191.96 }, + { 41, 0.69, 522.58 }, + { 40, 1.84, 302.16 }, + { 38, 5.94, 88.87 }, + { 32, 4.01, 21.34 } +} }; + +constexpr array g_R4SaturnCoefficients +{ { + { 1202, 1.4150, 220.4126 }, + { 708, 1.162, 213.299 }, + { 516, 6.240, 206.186 }, + { 427, 2.469, 7.114 }, + { 268, 0.187, 426.598 }, + { 170, 5.959, 199.072 }, + { 150, 0.480, 433.712 }, + { 145, 1.442, 227.526 }, + { 121, 2.405, 14.227 }, + { 47, 5.57, 639.90 }, + { 19, 5.86, 647.01 }, + { 17, 0.53, 440.83 }, + { 16, 2.90, 110.21 }, + { 15, 0.30, 419.48 }, + { 14, 1.30, 412.37 }, + { 13, 2.09, 323.51 }, + { 11, 0.22, 95.98 }, + { 11, 2.46, 117.32 }, + { 10, 3.14, 0 }, + { 9, 1.56, 88.87 }, + { 9, 2.28, 21.34 }, + { 9, 0.68, 216.48 }, + { 8, 1.27, 234.64 } +} }; + +constexpr array g_R5SaturnCoefficients +{ { + { 129, 5.913, 220.413 }, + { 32, 0.69, 7.11 }, + { 27, 5.91, 227.53 }, + { 20, 4.95, 433.71 }, + { 20, 0.67, 14.23 }, + { 14, 2.67, 206.19 }, + { 14, 1.46, 199.07 }, + { 13, 4.59, 426.60 }, + { 7, 4.63, 213.30 }, + { 5, 3.61, 639.90 }, + { 4, 4.90, 440.83 }, + { 3, 4.07, 647.01 }, + { 3, 4.66, 191.96 }, + { 3, 0.49, 323.51 }, + { 3, 3.18, 419.48 }, + { 2, 3.70, 88.87 }, + { 2, 3.32, 95.98 }, + { 2, 0.56, 117.32 } +} }; + + +///////////////////////////// Implementation ////////////////////////////////// + +double CAASaturn::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Saturn::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0SaturnCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1SaturnCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2SaturnCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3SaturnCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4SaturnCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5SaturnCoefficients) + L5 += (L5Coefficient.A * cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAASaturn::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Saturn::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0SaturnCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1SaturnCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2SaturnCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3SaturnCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4SaturnCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + //Calculate B5 + double B5 = 0; + for (const auto& B5Coefficient : g_B5SaturnCoefficients) + B5 += (B5Coefficient.A * cos(B5Coefficient.B + (B5Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4) + (B5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAASaturn::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Saturn::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0SaturnCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1SaturnCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2SaturnCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3SaturnCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4SaturnCoefficients) + R4 += (R4Coefficient.A * cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + //Calculate R5 + double R5 = 0; + for (const auto& R5Coefficient : g_R5SaturnCoefficients) + R5 += (R5Coefficient.A * cos(R5Coefficient.B + (R5Coefficient.C*rho))); + + return (R0 + (R1*rho) + (R2*rhosquared) + (R3*rhocubed) + (R4*rho4) + (R5*rho5)) / 100000000; +} diff --git a/Vendor/AA+/1.6.3/AASidereal.cpp b/Sources/AAPlus/AASidereal.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AASidereal.cpp rename to Sources/AAPlus/AASidereal.cpp index a1d9aa9..b9cde0e --- a/Vendor/AA+/1.6.3/AASidereal.cpp +++ b/Sources/AAPlus/AASidereal.cpp @@ -1,11 +1,12 @@ /* -Module : AASIDEREAL.CPP +Module : AASidereal.cpp Purpose: Implementation for the algorithms which obtain sidereal time Created: PJN / 29-12-2003 PJN / 26-01-2007 1. Update to fit in with new layout of CAADate class PJN / 28-01-2007 1. Minor updates to fit in with new layout of CAADate class + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -33,7 +34,7 @@ using namespace std; /////////////////////////////// Implementation //////////////////////////////// -double CAASidereal::MeanGreenwichSiderealTime(double JD) +double CAASidereal::MeanGreenwichSiderealTime(double JD) noexcept { //Get the Julian day for the same day at midnight long Year = 0; @@ -47,28 +48,28 @@ double CAASidereal::MeanGreenwichSiderealTime(double JD) date.Set(JD, CAADate::AfterPapalReform(JD)); date.Get(Year, Month, Day, Hour, Minute, Second); date.Set(Year, Month, Day, 0, 0, 0, date.InGregorianCalendar()); - double JDMidnight = date.Julian(); + const double JDMidnight = date.Julian(); //Calculate the sidereal time at midnight - double T = (JDMidnight - 2451545) / 36525; - double TSquared = T*T; - double TCubed = TSquared*T; + const double T = (JDMidnight - 2451545) / 36525; + const double TSquared = T*T; + const double TCubed = TSquared*T; double Value = 100.46061837 + (36000.770053608*T) + (0.000387933*TSquared) - (TCubed/38710000); //Adjust by the time of day - Value += ( ((Hour * 15) + (Minute * 0.25) + (Second * 0.0041666666666666666666666666666667)) * 1.00273790935); + Value += ( ((Hour * 15.0) + (Minute * 0.25) + (Second * 0.0041666666666666666666666666666667)) * 1.00273790935); Value = CAACoordinateTransformation::DegreesToHours(Value); return CAACoordinateTransformation::MapTo0To24Range(Value); } -double CAASidereal::ApparentGreenwichSiderealTime(double JD) +double CAASidereal::ApparentGreenwichSiderealTime(double JD) noexcept { - double MeanObliquity = CAANutation::MeanObliquityOfEcliptic(JD); - double TrueObliquity = MeanObliquity + CAANutation::NutationInObliquity(JD) / 3600; - double NutationInLongitude = CAANutation::NutationInLongitude(JD); + const double MeanObliquity = CAANutation::MeanObliquityOfEcliptic(JD); + const double TrueObliquity = MeanObliquity + CAANutation::NutationInObliquity(JD) / 3600; + const double NutationInLongitude = CAANutation::NutationInLongitude(JD); - double Value = MeanGreenwichSiderealTime(JD) + (NutationInLongitude * cos(CAACoordinateTransformation::DegreesToRadians(TrueObliquity)) / 54000); + const double Value = MeanGreenwichSiderealTime(JD) + (NutationInLongitude * cos(CAACoordinateTransformation::DegreesToRadians(TrueObliquity)) / 54000); return CAACoordinateTransformation::MapTo0To24Range(Value); } diff --git a/Vendor/AA+/1.6.3/AAStellarMagnitudes.cpp b/Sources/AAPlus/AAStellarMagnitudes.cpp old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAStellarMagnitudes.cpp rename to Sources/AAPlus/AAStellarMagnitudes.cpp index 9d9d32b..04a4784 --- a/Vendor/AA+/1.6.3/AAStellarMagnitudes.cpp +++ b/Sources/AAPlus/AAStellarMagnitudes.cpp @@ -1,10 +1,10 @@ /* -Module : AASTELLARMAGNITUDES.CPP +Module : AAStellarMagnitudes.cpp Purpose: Implementation for the algorithms which operate on the stellar magntidue system Created: PJN / 29-12-2003 History: PJN / 12-02-2004 1. Fixed a number of level 4 warnings when the code is compiled in VC.Net 2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -24,33 +24,45 @@ to maintain a single distribution point for the source code. #include "stdafx.h" #include "AAStellarMagnitudes.h" #include +#include using namespace std; ////////////////////////// Implementation ///////////////////////////////////// -double CAAStellarMagnitudes::CombinedMagnitude(double m1, double m2) +double CAAStellarMagnitudes::CombinedMagnitude(double m1, double m2) noexcept { - double x = 0.4*(m2 - m1); + const double x = 0.4*(m2 - m1); return m2 - 2.5*log10(pow(10.0, x) + 1); } -double CAAStellarMagnitudes::CombinedMagnitude(int Magnitudes, const double* pMagnitudes) +#ifdef _MSC_VER +#pragma warning(suppress : 26429) +#endif //#ifdef _MSC_VER +double CAAStellarMagnitudes::CombinedMagnitude(int Magnitudes, const double* pMagnitudes) noexcept { +//Validate our parameters + assert(pMagnitudes != nullptr); + double value = 0; for (int i=0; i +#include +using namespace std; + + +////////////////////////////////// Macros / Defines /////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0UranusCoefficients +{ { + { 548129294, 0, 0 }, + { 9260408, 0.8910642, 74.7815986 }, + { 1504248, 3.6271926, 1.4844727 }, + { 365982, 1.899622, 73.297126 }, + { 272328, 3.358237, 149.563197 }, + { 70328, 5.39254, 63.73590 }, + { 68893, 6.09292, 76.26607 }, + { 61999, 2.26952, 2.96895 }, + { 61951, 2.85099, 11.04570 }, + { 26469, 3.14152, 71.81265 }, + { 25711, 6.11380, 454.90937 }, + { 21079, 4.36059, 148.07872 }, + { 17819, 1.74437, 36.64856 }, + { 14613, 4.73732, 3.93215 }, + { 11163, 5.82682, 224.34480 }, + { 10998, 0.48865, 138.51750 }, + { 9527, 2.9552, 35.1641 }, + { 7546, 5.2363, 109.9457 }, + { 4220, 3.2333, 70.8494 }, + { 4052, 2.2775, 151.0477 }, + { 3490, 5.4831, 146.5943 }, + { 3355, 1.0655, 4.4534 }, + { 3144, 4.7520, 77.7505 }, + { 2927, 4.6290, 9.5612 }, + { 2922, 5.3524, 85.8273 }, + { 2273, 4.3660, 70.3282 }, + { 2149, 0.6075, 38.1330 }, + { 2051, 1.5177, 0.1119 }, + { 1992, 4.9244, 277.0350 }, + { 1667, 3.6274, 380.1278 }, + { 1533, 2.5859, 52.6902 }, + { 1376, 2.0428, 65.2204 }, + { 1372, 4.1964, 111.4302 }, + { 1284, 3.1135, 202.2534 }, + { 1282, 0.5427, 222.8603 }, + { 1244, 0.9161, 2.4477 }, + { 1221, 0.1990, 108.4612 }, + { 1151, 4.1790, 33.6796 }, + { 1150, 0.9334, 3.1814 }, + { 1090, 1.7750, 12.5302 }, + { 1072, 0.2356, 62.2514 }, + { 946, 1.192, 127.472 }, + { 708, 5.183, 213.299 }, + { 653, 0.966, 78.714 }, + { 628, 0.182, 984.600 }, + { 607, 5.432, 529.691 }, + { 559, 3.358, 0.521 }, + { 524, 2.013, 299.126 }, + { 483, 2.106, 0.963 }, + { 471, 1.407, 184.727 }, + { 467, 0.415, 145.110 }, + { 434, 5.521, 183.243 }, + { 405, 5.987, 8.077 }, + { 399, 0.338, 415.552 }, + { 396, 5.870, 351.817 }, + { 379, 2.350, 56.622 }, + { 310, 5.833, 145.631 }, + { 300, 5.644, 22.091 }, + { 294, 5.839, 39.618 }, + { 252, 1.637, 221.376 }, + { 249, 4.746, 225.829 }, + { 239, 2.350, 137.033 }, + { 224, 0.516, 84.343 }, + { 223, 2.843, 0.261 }, + { 220, 1.922, 67.668 }, + { 217, 6.142, 5.938 }, + { 216, 4.778, 340.771 }, + { 208, 5.580, 68.844 }, + { 202, 1.297, 0.048 }, + { 199, 0.956, 152.532 }, + { 194, 1.888, 456.394 }, + { 193, 0.916, 453.425 }, + { 187, 1.319, 0.160 }, + { 182, 3.536, 79.235 }, + { 173, 1.539, 160.609 }, + { 172, 5.680, 219.891 }, + { 170, 3.677, 5.417 }, + { 169, 5.879, 18.159 }, + { 165, 1.424, 106.977 }, + { 163, 3.050, 112.915 }, + { 158, 0.738, 54.175 }, + { 147, 1.263, 59.804 }, + { 143, 1.300, 35.425 }, + { 139, 5.386, 32.195 }, + { 139, 4.260, 909.819 }, + { 124, 1.374, 7.114 }, + { 110, 2.027, 554.070 }, + { 109, 5.706, 77.963 }, + { 104, 5.028, 0.751 }, + { 104, 1.458, 24.379 }, + { 103, 0.681, 14.978 } +} }; + +constexpr array g_L1UranusCoefficients +{ { + { 7502543122.0, 0, 0 }, + { 154458, 5.242017, 74.781599 }, + { 24456, 1.71256, 1.48447 }, + { 9258, 0.4284, 11.0457 }, + { 8266, 1.5022, 63.7359 }, + { 7842, 1.3198, 149.5632 }, + { 3899, 0.4648, 3.9322 }, + { 2284, 4.1737, 76.2661 }, + { 1927, 0.5301, 2.9689 }, + { 1233, 1.5863, 70.8494 }, + { 791, 5.436, 3.181 }, + { 767, 1.996, 73.297 }, + { 482, 2.984, 85.827 }, + { 450, 4.138, 138.517 }, + { 446, 3.723, 224.345 }, + { 427, 4.731, 71.813 }, + { 354, 2.583, 148.079 }, + { 348, 2.454, 9.561 }, + { 317, 5.579, 52.690 }, + { 206, 2.363, 2.448 }, + { 189, 4.202, 56.622 }, + { 184, 0.284, 151.048 }, + { 180, 5.684, 12.530 }, + { 171, 3.001, 78.714 }, + { 158, 2.909, 0.963 }, + { 155, 5.591, 4.453 }, + { 154, 4.652, 35.164 }, + { 152, 2.942, 77.751 }, + { 143, 2.590, 62.251 }, + { 121, 4.148, 127.472 }, + { 116, 3.732, 65.220 }, + { 102, 4.188, 145.631 }, + { 102, 6.034, 0.112 }, + { 88, 3.99, 18.16 }, + { 88, 6.16, 202.25 }, + { 81, 2.64, 22.09 }, + { 72, 6.05, 70.33 }, + { 69, 4.05, 77.96 }, + { 59, 3.70, 67.67 }, + { 47, 3.54, 351.82 }, + { 44, 5.91, 7.11 }, + { 43, 5.72, 5.42 }, + { 39, 4.92, 222.86 }, + { 36, 5.90, 33.68 }, + { 36, 3.29, 8.08 }, + { 36, 3.33, 71.60 }, + { 35, 5.08, 38.13 }, + { 31, 5.62, 984.60 }, + { 31, 5.50, 59.80 }, + { 31, 5.46, 160.61 }, + { 30, 1.66, 447.80 }, + { 29, 1.15, 462.02 }, + { 29, 4.52, 84.34 }, + { 27, 5.54, 131.40 }, + { 27, 6.15, 299.13 }, + { 26, 4.99, 137.03 }, + { 25, 5.74, 380.13 } +} }; + +constexpr array g_L2UranusCoefficients +{ { + { 53033, 0, 0 }, + { 2358, 2.2601, 74.7816 }, + { 769, 4.526, 11.046 }, + { 552, 3.258, 63.736 }, + { 542, 2.276, 3.932 }, + { 529, 4.923, 1.484 }, + { 258, 3.691, 3.181 }, + { 239, 5.858, 149.563 }, + { 182, 6.218, 70.849 }, + { 54, 1.44, 76.27 }, + { 49, 6.03, 56.62 }, + { 45, 3.91, 2.45 }, + { 45, 0.81, 85.83 }, + { 38, 1.78, 52.69 }, + { 37, 4.46, 2.97 }, + { 33, 0.86, 9.56 }, + { 29, 5.10, 73.30 }, + { 24, 2.11, 18.16 }, + { 22, 5.99, 138.52 }, + { 22, 4.82, 78.71 }, + { 21, 2.40, 77.96 }, + { 21, 2.17, 224.34 }, + { 17, 2.54, 145.63 }, + { 17, 3.47, 12.53 }, + { 12, 0.02, 22.09 }, + { 11, 0.08, 127.47 }, + { 10, 5.16, 71.60 }, + { 10, 4.46, 62.25 }, + { 9, 4.26, 7.11 }, + { 8, 5.50, 67.67 }, + { 7, 1.25, 5.42 }, + { 6, 3.36, 447.80 }, + { 6, 5.45, 65.22 }, + { 6, 4.52, 151.05 }, + { 6, 5.73, 462.02 } +} }; + +constexpr array g_L3UranusCoefficients +{ { + { 121, 0.024, 74.782 }, + { 68, 4.12, 3.93 }, + { 53, 2.39, 11.05 }, + { 46, 0, 0 }, + { 45, 2.04, 3.18 }, + { 44, 2.96, 1.48 }, + { 25, 4.89, 63.74 }, + { 21, 4.55, 70.85 }, + { 20, 2.31, 149.56 }, + { 9, 1.58, 56.62 }, + { 4, 0.23, 18.16 }, + { 4, 5.39, 76.27 }, + { 4, 0.95, 77.96 }, + { 3, 4.98, 85.83 }, + { 3, 4.13, 52.69 }, + { 3, 0.37, 78.71 }, + { 2, 0.86, 145.63 }, + { 2, 5.66, 9.56 } +} }; + +constexpr array g_L4UranusCoefficients +{ { + { 114, 3.142, 0 }, + { 6, 4.58, 74.78 }, + { 3, 0.35, 11.05 }, + { 1, 3.42, 56.62 } +} }; + +constexpr array g_B0UranusCoefficients +{ { + { 1346278, 2.6187781, 74.7815986 }, + { 62341, 5.08111, 149.56320 }, + { 61601, 3.14159, 0 }, + { 9964, 1.6160, 76.2661 }, + { 9926, 0.5763, 73.2971 }, + { 3259, 1.2612, 224.3448 }, + { 2972, 2.2437, 1.4845 }, + { 2010, 6.0555, 148.0787 }, + { 1522, 0.2796, 63.7359 }, + { 924, 4.038, 151.048 }, + { 761, 6.140, 71.813 }, + { 522, 3.321, 138.517 }, + { 463, 0.743, 85.827 }, + { 437, 3.381, 529.691 }, + { 435, 0.341, 77.751 }, + { 431, 3.554, 213.299 }, + { 420, 5.213, 11.046 }, + { 245, 0.788, 2.969 }, + { 233, 2.257, 222.860 }, + { 216, 1.591, 38.133 }, + { 180, 3.725, 299.126 }, + { 175, 1.236, 146.594 }, + { 174, 1.937, 380.128 }, + { 160, 5.336, 111.430 }, + { 144, 5.962, 35.164 }, + { 116, 5.739, 70.849 }, + { 106, 0.941, 70.328 }, + { 102, 2.619, 78.714 } +} }; + +constexpr array g_B1UranusCoefficients +{ { + { 206366, 4.123943, 74.781599 }, + { 8563, 0.3382, 149.5632 }, + { 1726, 2.1219, 73.2971 }, + { 1374, 0, 0 }, + { 1369, 3.0686, 76.2661 }, + { 451, 3.777, 1.484 }, + { 400, 2.848, 224.345 }, + { 307, 1.255, 148.079 }, + { 154, 3.786, 63.736 }, + { 112, 5.573, 151.048 }, + { 111, 5.329, 138.517 }, + { 83, 3.59, 71.81 }, + { 56, 3.40, 85.83 }, + { 54, 1.70, 77.75 }, + { 42, 1.21, 11.05 }, + { 41, 4.45, 78.71 }, + { 32, 3.77, 222.86 }, + { 30, 2.56, 2.97 }, + { 27, 5.34, 213.30 }, + { 26, 0.42, 380.13 } +} }; + +constexpr array g_B2UranusCoefficients +{ { + { 9212, 5.8004, 74.7816 }, + { 557, 0, 0 }, + { 286, 2.177, 149.563 }, + { 95, 3.84, 73.30 }, + { 45, 4.88, 76.27 }, + { 20, 5.46, 1.48 }, + { 15, 0.88, 138.52 }, + { 14, 2.85, 148.08 }, + { 14, 5.07, 63.74 }, + { 10, 5.00, 224.34 }, + { 8, 6.27, 78.71 } +} }; + +constexpr array g_B3UranusCoefficients +{ { + { 268, 1.251, 74.782 }, + { 11, 3.14, 0 }, + { 6, 4.01, 149.56 }, + { 3, 5.78, 73.30 } +} }; + +constexpr array g_B4UranusCoefficients +{ { + { 6, 2.85, 74.78 } +} }; + +constexpr array g_R0UranusCoefficients +{ { + { 1921264848, 0, 0 }, + { 88784984, 5.60377527, 74.78159857 }, + { 3440836, 0.3283610, 73.2971259 }, + { 2055653, 1.7829517, 149.5631971 }, + { 649322, 4.522473, 76.266071 }, + { 602248, 3.860038, 63.735898 }, + { 496404, 1.401399, 454.909367 }, + { 338526, 1.580027, 138.517497 }, + { 243508, 1.570866, 71.812653 }, + { 190522, 1.998094, 1.484473 }, + { 161858, 2.791379, 148.078724 }, + { 143706, 1.383686, 11.045700 }, + { 93192, 0.17437, 36.64856 }, + { 89806, 3.66105, 109.94569 }, + { 71424, 4.24509, 224.34480 }, + { 46677, 1.39977, 35.16409 }, + { 39026, 3.36235, 277.03499 }, + { 39010, 1.66971, 70.84945 }, + { 36755, 3.88649, 146.59425 }, + { 30349, 0.70100, 151.04767 }, + { 29156, 3.18056, 77.75054 }, + { 25786, 3.78538, 85.82730 }, + { 25620, 5.25656, 380.12777 }, + { 22637, 0.72519, 529.69097 }, + { 20473, 2.79640, 70.32818 }, + { 20472, 1.55589, 202.25340 }, + { 17901, 0.55455, 2.96895 }, + { 15503, 5.35405, 38.13304 }, + { 14702, 4.90434, 108.46122 }, + { 12897, 2.62154, 111.43016 }, + { 12328, 5.96039, 127.47180 }, + { 11959, 1.75044, 984.60033 }, + { 11853, 0.99343, 52.69020 }, + { 11696, 3.29826, 3.93215 }, + { 11495, 0.43774, 65.22037 }, + { 10793, 1.42105, 213.29910 }, + { 9111, 4.9964, 62.2514 }, + { 8421, 5.2535, 222.8603 }, + { 8402, 5.0388, 415.5525 }, + { 7449, 0.7949, 351.8166 }, + { 7329, 3.9728, 183.2428 }, + { 6046, 5.6796, 78.7138 }, + { 5524, 3.1150, 9.5612 }, + { 5445, 5.1058, 145.1098 }, + { 5238, 2.6296, 33.6796 }, + { 4079, 3.2206, 340.7709 }, + { 3919, 4.2502, 39.6175 }, + { 3802, 6.1099, 184.7273 }, + { 3781, 3.4584, 456.3938 }, + { 3687, 2.4872, 453.4249 }, + { 3102, 4.1403, 219.8914 }, + { 2963, 0.8298, 56.6224 }, + { 2942, 0.4239, 299.1264 }, + { 2940, 2.1464, 137.0330 }, + { 2938, 3.6766, 140.0020 }, + { 2865, 0.3100, 12.5302 }, + { 2538, 4.8546, 131.4039 }, + { 2364, 0.4425, 554.0700 }, + { 2183, 2.9404, 305.3462 } +} }; + +constexpr array g_R1UranusCoefficients +{ { + { 1479896, 3.6720571, 74.7815986 }, + { 71212, 6.22601, 63.73590 }, + { 68627, 6.13411, 149.56320 }, + { 24060, 3.14159, 0 }, + { 21468, 2.60177, 76.26607 }, + { 20857, 5.24625, 11.04570 }, + { 11405, 0.01848, 70.84945 }, + { 7497, 0.4236, 73.2971 }, + { 4244, 1.4169, 85.8273 }, + { 3927, 3.1551, 71.8127 }, + { 3578, 2.3116, 224.3448 }, + { 3506, 2.5835, 138.5175 }, + { 3229, 5.2550, 3.9322 }, + { 3060, 0.1532, 1.4845 }, + { 2564, 0.9808, 148.0787 }, + { 2429, 3.9944, 52.6902 }, + { 1645, 2.6535, 127.4718 }, + { 1584, 1.4305, 78.7138 }, + { 1508, 5.0600, 151.0477 }, + { 1490, 2.6756, 56.6224 }, + { 1413, 4.5746, 202.2534 }, + { 1403, 1.3699, 77.7505 }, + { 1228, 1.0470, 62.2514 }, + { 1033, 0.2646, 131.4039 }, + { 992, 2.172, 65.220 }, + { 862, 5.055, 351.817 }, + { 744, 3.076, 35.164 }, + { 687, 2.499, 77.963 }, + { 647, 4.473, 70.328 }, + { 624, 0.863, 9.561 }, + { 604, 0.907, 984.600 }, + { 575, 3.231, 447.796 }, + { 562, 2.718, 462.023 }, + { 530, 5.917, 213.299 }, + { 528, 5.151, 2.969 } +} }; + +constexpr array g_R2UranusCoefficients +{ { + { 22440, 0.69953, 74.78160 }, + { 4727, 1.6990, 63.7359 }, + { 1682, 4.6483, 70.8494 }, + { 1650, 3.0966, 11.0457 }, + { 1434, 3.5212, 149.5632 }, + { 770, 0, 0 }, + { 500, 6.172, 76.266 }, + { 461, 0.767, 3.932 }, + { 390, 4.496, 56.622 }, + { 390, 5.527, 85.827 }, + { 292, 0.204, 52.690 }, + { 287, 3.534, 73.297 }, + { 273, 3.847, 138.517 }, + { 220, 1.964, 131.404 }, + { 216, 0.848, 77.963 }, + { 205, 3.248, 78.714 }, + { 149, 4.898, 127.472 }, + { 129, 2.081, 3.181 } +} }; + +constexpr array g_R3UranusCoefficients +{ { + { 1164, 4.7345, 74.7816 }, + { 212, 3.343, 63.736 }, + { 196, 2.980, 70.849 }, + { 105, 0.958, 11.046 }, + { 73, 1.00, 149.56 }, + { 72, 0.03, 56.62 }, + { 55, 2.59, 3.93 }, + { 36, 5.65, 77.96 }, + { 34, 3.82, 76.27 }, + { 32, 3.60, 131.40 } +} }; + +constexpr array g_R4UranusCoefficients +{ { + { 53, 3.01, 74.78 }, + { 10, 1.91, 56.62 } +} }; + + + +/////////////////////////////// Implementation //////////////////////////////// + +double CAAUranus::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Uranus::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0UranusCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1UranusCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2UranusCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3UranusCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4UranusCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAUranus::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Uranus::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0UranusCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1UranusCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2UranusCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3UranusCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4UranusCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAUranus::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Uranus::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0UranusCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1UranusCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2UranusCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3UranusCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4UranusCoefficients) + R4 += (R4Coefficient.A * cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + return (R0 + (R1*rho) + (R2*rhosquared) + (R3*rhocubed) + (R4*rho4)) / 100000000; +} diff --git a/Sources/AAPlus/AAVSOP2013.cpp b/Sources/AAPlus/AAVSOP2013.cpp new file mode 100644 index 0000000..6956da6 --- /dev/null +++ b/Sources/AAPlus/AAVSOP2013.cpp @@ -0,0 +1,776 @@ +/* +Module : AAVSOP2013.cpp +Purpose: Implementation for the algorithms for VSOP2013 +Created: PJN / 01-08-2021 + +Copyright (c) 2021 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "stdafx.h" +#include "AAVSOP2013.h" +#include "AACoordinateTransformation.h" +#ifdef _WIN32 +#include +#else +#include +#endif //#ifdef _WIN32 +#include +#include +#include +#include +#include +#include +#include + + +/////////////////////// Implementation //////////////////////////////////////// + +bool CAAVSOP2013EphemeridesFile::ReadTextFile(const std::filesystem::path::value_type* pszFilename) +{ + std::ifstream file(pszFilename); + if (!file) + return false; + + //Read in the header + std::string sLine; + if (!std::getline(file, sLine)) + return false; + const int nIdentificationIndex = std::atoi(sLine.c_str()); + if (nIdentificationIndex != IDENTIFICATION_INDEX) + return false; + if (!std::getline(file, sLine)) + return false; + m_fStartJD = std::stod(sLine); + if (!std::getline(file, sLine)) + return false; + m_fEndJD = std::stod(sLine); + if (!std::getline(file, sLine)) + return false; + const double fSizeBasicInterval = std::stod(sLine); + if (fSizeBasicInterval != SIZE_BASIC_INTERVAL) + return false; + if (!std::getline(file, sLine)) + return false; + const int nChebyshevTables = std::atoi(sLine.c_str()); + if (nChebyshevTables != CHEBYSHEV_TABLES) + return false; + if (!std::getline(file, sLine)) + return false; + const int nCoefficientsPerTable = std::atoi(sLine.c_str()); + if (nCoefficientsPerTable != COEFFICIENTS_PER_TABLE) + return false; + if (!std::getline(file, sLine)) + return false; +#ifdef _MSC_VER +#pragma warning(disable : 26446) + if (sscanf_s(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#else + if (sscanf(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#endif //#ifdef _MSC_VER + &m_FirstCoefficientRank[0], & m_FirstCoefficientRank[1], & m_FirstCoefficientRank[2], + &m_FirstCoefficientRank[3], &m_FirstCoefficientRank[4], &m_FirstCoefficientRank[5], &m_FirstCoefficientRank[6], &m_FirstCoefficientRank[7], &m_FirstCoefficientRank[8]) != 9) + return false; + if (!std::getline(file, sLine)) + return false; +#ifdef _MSC_VER + if (sscanf_s(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#else + if (sscanf(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#endif //#ifdef _MSC_VER + &m_CoefficientsPerCoordinate[0], &m_CoefficientsPerCoordinate[1], &m_CoefficientsPerCoordinate[2], + &m_CoefficientsPerCoordinate[3], &m_CoefficientsPerCoordinate[4], &m_CoefficientsPerCoordinate[5], &m_CoefficientsPerCoordinate[6], &m_CoefficientsPerCoordinate[7], &m_CoefficientsPerCoordinate[8]) != 9) + return false; + if (!std::getline(file, sLine)) + return false; +#ifdef _MSC_VER + if (sscanf_s(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#else + if (sscanf(sLine.c_str(), "%" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32 " %" SCNd32, +#endif //#ifdef _MSC_VER + &m_SubIntervals[0], &m_SubIntervals[1], &m_SubIntervals[2], + &m_SubIntervals[3], &m_SubIntervals[4], &m_SubIntervals[5], &m_SubIntervals[6], &m_SubIntervals[7], &m_SubIntervals[8]) != 9) + return false; + + //Now read in all the tables + m_ChebyshevTables.clear(); + m_ChebyshevTables.reserve(CHEBYSHEV_TABLES); + for (int i=0; i table; +#ifdef _MSC_VER + if (sscanf_s(sLine.c_str(), "%lf %lf", +#else + if (sscanf(sLine.c_str(), "%lf %lf", +#endif //#ifdef _MSC_VER + &table[0], &table[1]) != 2) + return false; +#ifdef _MSC_VER +#pragma warning(default : 26446) +#endif //#ifdef _MSC_VER + + //Read in all 978 coefficients in the table as 6 coefficients per line for a total of 163 lines + int nArrayIndex = 2; + for (int j=0; j<163; j++) + { + if (!std::getline(file, sLine)) + return false; + if (sLine.length() <= 143) + return false; +#ifdef _MSC_VER +#pragma warning(disable : 26446) +#endif //#ifdef _MSC_VER + if (sLine[142] != ' ') + return false; + sLine[142] = 'E'; + if (sLine[118] != ' ') + return false; + sLine[118] = 'E'; + if (sLine[94] != ' ') + return false; + sLine[94] = 'E'; + if (sLine[70] != ' ') + return false; + sLine[70] = 'E'; + if (sLine[46] != ' ') + return false; + sLine[46] = 'E'; + if (sLine[22] != ' ') + return false; + sLine[22] = 'E'; + std::array fCoefficients{}; +#ifdef _MSC_VER + if (sscanf_s(sLine.c_str(), "%lf %lf %lf %lf %lf %lf", +#else + if (sscanf(sLine.c_str(), "%lf %lf %lf %lf %lf %lf", +#endif //#ifdef _MSC_VER + &fCoefficients[0], &fCoefficients[1], &fCoefficients[2], &fCoefficients[3], &fCoefficients[4], &fCoefficients[5]) != 6) + return false; +#ifdef _MSC_VER +#pragma warning(disable : 26482) +#endif //#ifdef _MSC_VER + for (const auto& fCoefficient : fCoefficients) + table[nArrayIndex++] = fCoefficient; +#ifdef _MSC_VER +#pragma warning(default : 26446 26482) +#endif //#ifdef _MSC_VER + } + m_ChebyshevTables.push_back(table); + } + +#ifdef _DEBUG + //We should be at the end of the file by the time we reach this point + assert(!std::getline(file, sLine)); +#endif //#ifdef _DEBUG + + return true; +} + + +//Functor used to encapsulate a FILE* in a unique_ptr +struct AAPLUS_EXT_CLASS CVSOP2013FILEDeleter +{ + void operator()(FILE* pFile) noexcept + { + if (pFile) + fclose(pFile); + } +}; + + +//A function which writes out an int32_t to a FILE* in big endian format +size_t fwrite_int32_t(int32_t nValue, FILE* f) noexcept +{ + const uint32_t nTemp = htonl(nValue); + return fwrite(&nTemp, sizeof(nTemp), 1, f); +} + + +//A function to convert a big endian uint32_t to a host endian int32_t +inline int32_t convert_read_int32_t(const uint32_t& nValue) noexcept +{ + const uint32_t nTemp = ntohl(nValue); + if (nTemp > INT32_MAX) +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + return -static_cast(~nTemp) - 1; + else + return nTemp; +} + + +//A function which reads in an int32_t from a FILE* in big endian format +size_t fread_int32_t(int32_t& nValue, FILE* f) noexcept +{ + uint32_t nTemp = 0; + const auto nRead = fread(&nTemp, sizeof(nTemp), 1, f); + if (nRead != 1) + return nRead; + nValue = convert_read_int32_t(nTemp); + return nRead; +} + + +//The binary files written out by this method are not the same as the binary files +//referenced in the original VSOP2013 documentation. Use only binary files generated +//by this method in calls to ReadBinaryFile. +bool CAAVSOP2013EphemeridesFile::WriteBinaryFile(const std::filesystem::path::value_type* pszFilename) noexcept +{ + FILE* f = nullptr; +#ifdef _MSC_VER + if (_wfopen_s(&f, pszFilename, L"wb") != 0) +#else + f = fopen(pszFilename, "wb"); + if (f == nullptr) +#endif //#ifdef _MSC_VER + return false; + std::unique_ptr file(f); + constexpr uint8_t nVersionInfo = 1; +#ifdef _MSC_VER +#pragma warning(suppress : 6387) +#endif //#ifdef _MSC_VER + if (fwrite(&nVersionInfo, sizeof(nVersionInfo), 1, f) != 1) + return false; + if (fwrite(&m_fStartJD, sizeof(m_fStartJD), 1, f) != 1) + return false; + if (fwrite(&m_fEndJD, sizeof(m_fEndJD), 1, f) != 1) + return false; + for (const auto& coefficient : m_FirstCoefficientRank) + { + if (fwrite_int32_t(coefficient, f) != 1) + return false; + } + for (const auto& coeff : m_CoefficientsPerCoordinate) + { + if (fwrite_int32_t(coeff, f) != 1) + return false; + } + for (const auto& subInterval : m_SubIntervals) + { + if (fwrite_int32_t(subInterval, f) != 1) + return false; + } + return (fwrite(m_ChebyshevTables.data(), sizeof(std::array), m_ChebyshevTables.size(), f) == m_ChebyshevTables.size()); +} + +//The binary files read in by this method are not the same as the binary files +//referenced in the original VSOP2013 documentation. Use only binary files generated +//by the WriteBinaryFile method. +bool CAAVSOP2013EphemeridesFile::ReadBinaryFile(const std::filesystem::path::value_type* pszFilename) +{ + FILE* f = nullptr; +#ifdef _MSC_VER + if (_wfopen_s(&f, pszFilename, L"rb") != 0) +#else + f = fopen(pszFilename, "rb"); + if (f == nullptr) +#endif //#ifdef _MSC_VER + return false; + std::unique_ptr file(f); + uint8_t nVersionInfo = 0; +#ifdef _MSC_VER +#pragma warning(suppress : 6387) +#endif //#ifdef _MSC_VER + if (fread(&nVersionInfo, sizeof(nVersionInfo), 1, f) != 1) + return false; + if (nVersionInfo != 1) + return false; + std::array fDoubles{}; + if (fread(fDoubles.data(), sizeof(double), 2, f) != 2) + return false; +#ifdef _MSC_VER +#pragma warning(suppress : 26446) +#endif //#ifdef _MSC_VER + m_fStartJD = fDoubles[0]; +#ifdef _MSC_VER +#pragma warning(suppress : 26446) +#endif //#ifdef _MSC_VER + m_fEndJD = fDoubles[1]; + std::array coeffs{}; + if (fread(coeffs.data(), sizeof(int32_t), 9, f) != 9) + return false; + for (int i=0; i<9; i++) +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + m_FirstCoefficientRank[i] = convert_read_int32_t(coeffs[i]); + if (fread(coeffs.data(), sizeof(int32_t), 9, f) != 9) + return false; + for (int i=0; i<9; i++) +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + m_CoefficientsPerCoordinate[i] = convert_read_int32_t(coeffs[i]); + if (fread(coeffs.data(), sizeof(int32_t), 9, f) != 9) + return false; + for (int i=0; i<9; i++) +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + m_SubIntervals[i] = convert_read_int32_t(coeffs[i]); + m_ChebyshevTables.resize(CHEBYSHEV_TABLES); + return (fread(m_ChebyshevTables.data(), sizeof(std::array), m_ChebyshevTables.size(), f) == m_ChebyshevTables.size()); +} + + +bool CAAVSOP2013ElementsFile::ReadTextFile(const std::filesystem::path::value_type* pszFilename) +{ + std::ifstream file(pszFilename); + if (!file) + return false; + + //Read in all the series (a, lambda, k, h, q & p) + std::string sLine; + if (!std::getline(file, sLine)) + return false; + m_AllSeries.clear(); + m_AllSeries.reserve(80); //80 is the maximum size for the series array for the VSOP2013 elements files (for Jupiter and Saturn) + bool bMoreSeries = true; + while (bMoreSeries) + { + //Read in the header + if (sLine.find(" VSOP2013") != 0) + return false; + sLine = sLine.substr(9); + CAAVSOP2013ElementsSeries series; +#ifdef _MSC_VER +#pragma warning(disable : 26446) +#endif //#ifdef _MSC_VER + int nt = 0; +#ifdef _MSC_VER + if (sscanf_s(sLine.c_str(), "%" SCNu8 "%" SCNu8 "%" SCNu8 "%d", +#else + if (sscanf(sLine.c_str(), "%" SCNu8 "%" SCNu8 "%" SCNu8 "%d", +#endif //#ifdef _MSC_VER + &series.m_ip, &series.m_iv, &series.m_it, &nt) != 4) + return false; + if ((series.m_ip < 1) || (series.m_ip > 9)) + return false; + if ((series.m_iv < 1) || (series.m_iv > 6)) + return false; + + //Read in all the terms + series.m_Terms.reserve(nt); + for (int i=0; i file(f); + constexpr uint8_t nVersionInfo = 1; +#ifdef _MSC_VER +#pragma warning(suppress : 6387) +#endif //#ifdef _MSC_VER + if (fwrite(&nVersionInfo, sizeof(nVersionInfo), 1, f) != 1) + return false; +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + const auto nSeries = static_cast(m_AllSeries.size()); + if (fwrite_int32_t(nSeries, f) != 1) + return false; + for (const auto& series : m_AllSeries) + { + if (fwrite(&series.m_ip, sizeof(series.m_ip), 1, f) != 1) + return false; + if (fwrite(&series.m_iv, sizeof(series.m_iv), 1, f) != 1) + return false; + if (fwrite(&series.m_it, sizeof(series.m_it), 1, f) != 1) + return false; +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + const auto nTerms = static_cast(series.m_Terms.size()); + if (fwrite_int32_t(nTerms, f) != 1) + return false; + for (const auto& term : series.m_Terms) + { + for (const auto phi : term.m_iphi) + { + if (fwrite_int32_t(phi, f) != 1) + return false; + } + if (fwrite(&term.m_fS, sizeof(term.m_fS), 1, f) != 1) + return false; + if (fwrite(&term.m_fC, sizeof(term.m_fC), 1, f) != 1) + return false; + } + } + return true; +} + +//Use only binary files generated by the WriteBinaryFile method. +bool CAAVSOP2013ElementsFile::ReadBinaryFile(const std::filesystem::path::value_type* pszFilename) +{ + FILE* f = nullptr; +#ifdef _MSC_VER + if (_wfopen_s(&f, pszFilename, L"rb") != 0) +#else + f = fopen(pszFilename, "rb"); + if (f == nullptr) +#endif //#ifdef _MSC_VER + return false; + std::unique_ptr file(f); + uint8_t nVersionInfo = 0; +#ifdef _MSC_VER +#pragma warning(suppress : 6387) +#endif //#ifdef _MSC_VER + if (fread(&nVersionInfo, sizeof(nVersionInfo), 1, f) != 1) + return false; + if (nVersionInfo != 1) + return false; + int32_t nSeries = 0; + if (fread_int32_t(nSeries, f) != 1) + return false; + m_AllSeries.clear(); + m_AllSeries.resize(nSeries); + for (int32_t i=0; i tVals{}; + if (fread(&tVals, sizeof(uint8_t), 3, f) != 3) + return false; + series.m_ip = tVals[0]; + series.m_iv = tVals[1]; + series.m_it = tVals[2]; + int32_t nTerms = 0; + if (fread_int32_t(nTerms, f) != 1) + return false; + series.m_Terms.resize(nTerms); + for (int32_t j=0; j tiphis{}; + if (fread(&tiphis, sizeof(uint32_t), 17, f) != 17) + return false; + for (int k=0; k<17; k++) +#ifdef _MSC_VER +#pragma warning(suppress : 26482) +#endif //#ifdef _MSC_VER + term.m_iphi[k] = convert_read_int32_t(tiphis[k]); + std::array tSC{}; + if (fread(tSC.data(), sizeof(double), 2, f) != 2) + return false; + term.m_fS = tSC[0]; + term.m_fC = tSC[1]; + } + } + return true; +} + + +void CAAVSOP2013::SetBinaryFilesDirectory(const std::filesystem::path::value_type* pszBinaryFilesDirectory) noexcept +{ + m_pszBinaryFilesDirectory = pszBinaryFilesDirectory; +} + +const std::filesystem::path::value_type* CAAVSOP2013::GetBinaryFilesDirectory() const noexcept +{ + return m_pszBinaryFilesDirectory; +} + +CAAVSOP2013Position CAAVSOP2013::Calculate(Planet planet, double JD) +{ + //Validate the planet parameter + if ((planet < Planet::MERCURY) || (planet > Planet::PLUTO)) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::PLANET_IS_INVALID); + + //Check the extreme date range + if ((JD < 77294.5) || (JD > 3364718.5)) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::DATE_IS_INVALID); + + //Handle the special case for Pluto outside of the time interval for the VSOP2013.p2000 file + if ((planet == Planet::PLUTO) && ((JD < 2268910.5) || (JD > 2816814.5))) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::DATE_IS_INVALID); + + //Find the index in the m_Files table from the JD parameter + const auto iter = std::upper_bound(m_DateRange.cbegin(), m_DateRange.cend(), JD); + assert(iter != m_DateRange.cend()); + const size_t nIndex = std::distance(m_DateRange.cbegin(), iter) - 1; + + //Load up the data into the appropriate file class instance from the appropriate binary file if necessary +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + auto& file = m_EphemerideFiles[nIndex]; + if (file.m_ChebyshevTables.size() == 0) + { + std::filesystem::path p(m_pszBinaryFilesDirectory); +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + p.append(m_EphemeridesFilenames[nIndex]); + if (!file.ReadBinaryFile(p.c_str())) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::COULD_NOT_LOAD_BINARY_FILE); + } + + const int iper = static_cast((JD - file.m_fStartJD) / CAAVSOP2013EphemeridesFile::SIZE_BASIC_INTERVAL); //Calculate 32 day index + assert((iper >= 0) && (iper < static_cast(file.m_ChebyshevTables.size()))); +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482) +#endif //#ifdef _MSC_VER + const auto& aperiod = file.m_ChebyshevTables[iper]; //Get table containing JD + const auto iad = file.m_FirstCoefficientRank[static_cast(planet)] - 1; //Initial term of the planet (index into m_Coefficients) + const auto ncf = file.m_CoefficientsPerCoordinate[static_cast(planet)]; //Number of Chebyshev coefficients + const auto nsi = file.m_SubIntervals[static_cast(planet)]; //Some delta divider + const double delta2 = CAAVSOP2013EphemeridesFile::SIZE_BASIC_INTERVAL / nsi; + auto ik = static_cast((JD - aperiod[0]) / delta2); + if (ik == nsi) + --ik; +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + const size_t iloc = iad + (6 * static_cast(ncf) * ik); + const double dj0 = aperiod[0] + (ik * delta2); + const double x = 2.0 * (JD - dj0) / delta2 - 1.0; + + //Build Chebyshev terms + std::array tn{}; + tn[0] = 1.0; + tn[1] = x; +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + for (size_t i=2; i(ncf); i++) + tn[i] = 2.0*x*tn[i - 1] - tn[i - 2]; + + //Calculate planet position and speed + std::array r{}; + for (int i=0; i<6; i++) + { +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + for (size_t j=0; j(ncf); j++) + { + const size_t jp = ncf - j - 1; //index into tn, working backwards + assert((jp >= 0) && (jp < tn.size())); +#ifdef _MSC_VER +#pragma warning(suppress : 26472) +#endif //#ifdef _MSC_VER + const size_t jt = iloc + (static_cast(ncf) * i) + jp + 2; //Index into coefficients + assert((jt >= 2) && (jt < aperiod.size())); + r[i] += (tn[jp] * aperiod[jt]); + } + } + CAAVSOP2013Position position; + position.X = r[0]; + position.Y = r[1]; + position.Z = r[2]; + position.X_DASH = r[3]; + position.Y_DASH = r[4]; + position.Z_DASH = r[5]; +#ifdef _MSC_VER +#pragma warning(default : 26446 26482) +#endif //#ifdef _MSC_VER + return position; +} + +CAAVSOP2013Orbit CAAVSOP2013::CalculateOrbit(Planet planet, double JD) +{ + //Validate the planet parameter + if ((planet < Planet::MERCURY) || (planet > Planet::PLUTO)) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::PLANET_IS_INVALID); + + //Calculate the T values + std::array T{}; +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482) +#endif //#ifdef _MSC_VER + T[0] = 1; + T[1] = (JD - 2451545.0) / 365250.0; + for (size_t i = 2; i < 21; i++) + T[i] = T[1] * T[i - 1]; + + //Calculate the lambda values + std::array lambdas{}; + CalculateLambdas(T[1], lambdas); + + //Load up the data into the appropriate file class instance from the appropriate binary file if necessary + auto& file = m_ElementsFiles[static_cast(planet)]; + if (file.m_AllSeries.size() == 0) + { + std::filesystem::path p(m_pszBinaryFilesDirectory); + p.append(m_ElementsFilenames[static_cast(planet)]); + if (!file.ReadBinaryFile(p.c_str())) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::COULD_NOT_LOAD_BINARY_FILE); + } + + //Calculate the element values + std::array r{}; + for (const auto& serie : file.m_AllSeries) + { + double fSum = 0; + for (const auto& term : serie.m_Terms) + { + double fPhi = 0; + for (int i=0; i<17; i++) + { + if (term.m_iphi[i]) + fPhi += (term.m_iphi[i] * lambdas[i]); + } + fSum += (term.m_fS * sin(fPhi) + term.m_fC * cos(fPhi)); + } + assert(serie.m_it < 21); + fSum *= T[serie.m_it]; + r[serie.m_iv - 1] += fSum; + } + + CAAVSOP2013Orbit orbit; + orbit.a = r[0]; + orbit.lambda = CAACoordinateTransformation::MapTo0To2PIRange(r[1]); //Normalize the lambda value to 0 to 2 radians + orbit.k = r[2]; + orbit.h = r[3]; + orbit.q = r[4]; + orbit.p = r[5]; +#ifdef _MSC_VER +#pragma warning(default: 26446 26482) +#endif //#ifdef _MSC_VER + return orbit; +} + +void CAAVSOP2013::CalculateLambdas(double T, std::array& lambdas) noexcept +{ +#ifdef _MSC_VER +#pragma warning(disable : 26446) +#endif //#ifdef _MSC_VER + lambdas[0] = 4.402608631669 + (26087.90314068555 * T); //Mercury + lambdas[1] = 3.176134461576 + (10213.28554743445 * T); //Venus + lambdas[2] = 1.753470369433 + (6283.075850353215 * T); //Earth - Moon + lambdas[3] = 6.203500014141 + (3340.612434145457 * T); //Mars + lambdas[4] = 4.091360003050 + (1731.170452721855 * T); //Vesta + lambdas[5] = 1.713740719173 + (1704.450855027201 * T); //Iris + lambdas[6] = 5.598641292287 + (1428.948917844273 * T); //Bamberga + lambdas[7] = 2.805136360408 + (1364.756513629990 * T); //Ceres + lambdas[8] = 2.326989734620 + (1361.923207632842 * T); //Pallas + lambdas[9] = 0.599546107035 + (529.6909615623250 * T); //Jupiter + lambdas[10] = 0.874018510107 + (213.2990861084880 * T); //Saturn + lambdas[11] = 5.481225395663 + (74.78165903077800 * T); //Uranus + lambdas[12] = 5.311897933164 + (38.13297222612500 * T); //Neptune + lambdas[13] = 0.3595362285049309 * T; //µ Pluto + lambdas[14] = 5.198466400630 + (77713.7714481804 * T); //D Moon + lambdas[15] = 1.627905136020 + (84334.6615717837 * T); //F Moon + lambdas[16] = 2.355555638750 + (83286.9142477147 * T); //l Moon +#ifdef _MSC_VER +#pragma warning(default : 26446) +#endif //#ifdef _MSC_VER +} + +double CAAVSOP2013::CalculateMeanMotion(Planet planet, double a) +{ + //Validate the planet parameter + if ((planet < Planet::MERCURY) || (planet > Planet::PLUTO)) + throw CAAVSOP2013Exception(CAAVSOP2013Exception::REASON::PLANET_IS_INVALID); + + constexpr double gmsol = 2.9591220836841438269E-04; + static constexpr std::array gmp + { { + 4.9125474514508118699E-11, + 7.2434524861627027000E-10, + 8.9970116036316091182E-10, + 9.5495351057792580598E-11, + 2.8253458420837780000E-07, + 8.4597151856806587398E-08, + 1.2920249167819693900E-08, + 1.5243589007842762800E-08, + 2.1886997654259696800E-12 + } }; +#ifdef _MSC_VER +#pragma warning(suppress : 26446 26482) +#endif //#ifdef _MSC_VER + return CAACoordinateTransformation::RadiansToDegrees(sqrt(gmp[static_cast(planet)] + gmsol) / pow(a, 1.5)); +} + +CAAEllipticalObjectElements CAAVSOP2013::OrbitToElements(double JD, CAAVSOP2013::Planet planet, const CAAVSOP2013Orbit& orbit) +{ + CAAEllipticalObjectElements elements; + elements.a = orbit.a; + elements.e = sqrt((orbit.k * orbit.k) + (orbit.h * orbit.h)); + elements.i = CAACoordinateTransformation::RadiansToDegrees(2.0 * asin(sqrt((orbit.q * orbit.q) + (orbit.p * orbit.p)))); + const double w = atan2(orbit.h, orbit.k); //here w is longitude of perihelion + elements.omega = atan2(orbit.p, orbit.q); + elements.w = CAACoordinateTransformation::RadiansToDegrees(CAACoordinateTransformation::MapTo0To2PIRange(w - elements.omega)); //argument of perihelion = longitude of perihelion - longitude of ascending node + elements.omega = CAACoordinateTransformation::RadiansToDegrees(elements.omega); + elements.JDEquinox = JD; + const double MeanMotion = CalculateMeanMotion(planet, orbit.a); + elements.T = JD - CAACoordinateTransformation::RadiansToDegrees(orbit.lambda/MeanMotion) + CAACoordinateTransformation::RadiansToDegrees(w / MeanMotion); + return elements; +} + +CAAVSOP2013Position CAAVSOP2013::Ecliptic2Equatorial(const CAAVSOP2013Position& value) noexcept +{ + constexpr double coeff11 = 0.99999999999996836; + constexpr double coeff12 = 2.3076633339445195e-07; + constexpr double coeff13 = -1.0004940139786859e-07; + constexpr double coeff21 = -2.5152133775962465e-07; + constexpr double coeff22 = 0.91748213272857493; + constexpr double coeff23 = -0.39777699295429642; + constexpr double coeff32 = 0.39777699295430902; + constexpr double coeff33 = 0.91748213272860391; + + CAAVSOP2013Position Equatorial; + Equatorial.X = (coeff11 * value.X) + (coeff12 * value.Y) + (coeff13 * value.Z); + Equatorial.Y = (coeff21 * value.X) + (coeff22 * value.Y) + (coeff23 * value.Z); + Equatorial.Z = (coeff32 * value.Y) + (coeff33 * value.Z); + Equatorial.X_DASH = (coeff11 * value.X_DASH) + (coeff12 * value.Y_DASH) + (coeff13 * value.Z_DASH); + Equatorial.Y_DASH = (coeff21 * value.X_DASH) + (coeff22 * value.Y_DASH) + (coeff23 * value.Z_DASH); + Equatorial.Z_DASH = (coeff32 * value.Y_DASH) + (coeff33 * value.Z_DASH); + return Equatorial; +} diff --git a/Sources/AAPlus/AAVSOP87.cpp b/Sources/AAPlus/AAVSOP87.cpp new file mode 100644 index 0000000..a2712c9 --- /dev/null +++ b/Sources/AAPlus/AAVSOP87.cpp @@ -0,0 +1,120 @@ +/* +Module : AAVSOP87.cpp +Purpose: Implementation for the algorithms for VSOP87 +Created: PJN / 26-08-2015 +History: PJN / 28-08-2015 1. Initial public release. + PJN / 08-06-2019 1. Updated the code to clean compile on VC 2019 + PJN / 29-04-2020 1. Fixed a compilation issue on GCC where size_t was undefined in various modules. + Thanks to Bert Devlieghe for reporting this bug. + +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////// Includes ////////////////////////////////////// + +#include "stdafx.h" +#include "AAVSOP87.h" +#include "AACoordinateTransformation.h" +#include +#include +using namespace std; + + +////////////////////////////// Macros / Defines ///////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26481) +#endif //#ifdef _MSC_VER + + +////////////////////////////// Implementation /////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(suppress : 26429) +#endif //#ifdef _MSC_VER +double CAAVSOP87::Calculate(double JD, const VSOP87Coefficient2* pTable, size_t nTableSize, bool bAngle) noexcept +{ +//Validate our parameters + assert(pTable != nullptr); + + const double T = (JD - 2451545) / 365250; + double TTerm = T; + double Result = 0; + for (size_t i=0; i +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_EARTH[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_EARTH +{ { { 0.99982928844, 1.75348568475, 6283.07584999140 }, { 0.00835257300, 1.71034539450, 12566.15169998280 }, { 0.00561144206, 0.00000000000, 0.00000000000 }, @@ -875,10 +881,10 @@ const VSOP87Coefficient g_VSOP87A_X0_EARTH[] = { 0.00000000040, 3.64328287226, 3215.13638064320 }, { 0.00000000050, 1.62788844152, 84334.41776382479 }, { 0.00000000040, 0.78396796338, 71980.63357473118 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_EARTH[] = -{ +constexpr array g_VSOP87A_X1_EARTH +{ { { 0.00123403056, 0.00000000000, 0.00000000000 }, { 0.00051500156, 6.00266267204, 12566.15169998280 }, { 0.00001290726, 5.95943124583, 18849.22754997420 }, @@ -1370,10 +1376,10 @@ const VSOP87Coefficient g_VSOP87A_X1_EARTH[] = { 0.00000000019, 0.18461307728, 83973.83535572988 }, { 0.00000000019, 4.29574440213, 84019.85928049390 }, { 0.00000000020, 2.85390720284, 9070.11887384880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_EARTH[] = -{ +constexpr array g_VSOP87A_X2_EARTH +{ { { 0.00004143217, 3.14159265359, 0.00000000000 }, { 0.00002175695, 4.39999849572, 12566.15169998280 }, { 0.00000995233, 0.20790847155, 6283.07584999140 }, @@ -1578,10 +1584,10 @@ const VSOP87Coefficient g_VSOP87A_X2_EARTH[] = { 0.00000000010, 0.18358815992, 12779.45079542080 }, { 0.00000000011, 4.05473090705, 23581.25817731760 }, { 0.00000000011, 0.39656469738, 25158.60171976540 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_EARTH[] = -{ +constexpr array g_VSOP87A_X3_EARTH +{ { { 0.00000175213, 3.14159265359, 0.00000000000 }, { 0.00000072337, 2.89303952476, 12566.15169998280 }, { 0.00000008364, 3.85500954096, 6283.07584999140 }, @@ -1600,10 +1606,10 @@ const VSOP87Coefficient g_VSOP87A_X3_EARTH[] = { 0.00000000018, 2.32709487755, 12721.57209941700 }, { 0.00000000011, 6.27313981891, 12592.45001978260 }, { 0.00000000006, 2.56028859854, 242.72860397400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_EARTH[] = -{ +constexpr array g_VSOP87A_X4_EARTH +{ { { 0.00000004022, 0.00000000000, 0.00000000000 }, { 0.00000001927, 1.18746233453, 12566.15169998280 }, { 0.00000000491, 5.29890244491, 6283.07584999140 }, @@ -1619,20 +1625,20 @@ const VSOP87Coefficient g_VSOP87A_X4_EARTH[] = { 0.00000000007, 6.16589776486, 167283.76158766550 }, { 0.00000000005, 2.68915538708, 12410.73130054860 }, { 0.00000000006, 5.56853736836, 156137.47598479927 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_EARTH[] = -{ +constexpr array g_VSOP87A_X5_EARTH +{ { { 0.00000000108, 0.00000000000, 0.00000000000 }, { 0.00000000043, 6.08789652058, 12566.15169998280 }, { 0.00000000025, 5.33779665346, 6438.49624942560 }, { 0.00000000025, 1.31073691919, 6127.65545055720 }, { 0.00000000020, 0.94333339828, 6283.07584999140 }, { 0.00000000008, 5.52588061142, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_EARTH[] = -{ +constexpr array g_VSOP87A_Y0_EARTH +{ { { 0.99989211030, 0.18265890456, 6283.07584999140 }, { 0.02442699036, 3.14159265359, 0.00000000000 }, { 0.00835292314, 0.13952878991, 12566.15169998280 }, @@ -2487,10 +2493,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_EARTH[] = { 0.00000000039, 3.85122558089, 30774.50164257480 }, { 0.00000000046, 3.45581538922, 12146.66705610760 }, { 0.00000000050, 0.05709243771, 84334.41776382479 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_EARTH[] = -{ +constexpr array g_VSOP87A_Y1_EARTH +{ { { 0.00093046324, 0.00000000000, 0.00000000000 }, { 0.00051506609, 4.43180499286, 12566.15169998280 }, { 0.00001290800, 4.38860548540, 18849.22754997420 }, @@ -2987,10 +2993,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_EARTH[] = { 0.00000000019, 2.72494815105, 84019.85928049390 }, { 0.00000000020, 2.60251083721, 42456.78404709160 }, { 0.00000000020, 1.28313240949, 9070.11887384880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_EARTH[] = -{ +constexpr array g_VSOP87A_Y2_EARTH +{ { { 0.00005080208, 0.00000000000, 0.00000000000 }, { 0.00002178016, 2.82957544235, 12566.15169998280 }, { 0.00001020487, 4.63746718598, 6283.07584999140 }, @@ -3193,10 +3199,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_EARTH[] = { 0.00000000010, 4.53062887484, 213.29909543800 }, { 0.00000000011, 5.10892321991, 25158.60171976540 }, { 0.00000000009, 2.89659186256, 23581.25817731760 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_EARTH[] = -{ +constexpr array g_VSOP87A_Y3_EARTH +{ { { 0.00000128116, 3.14159265359, 0.00000000000 }, { 0.00000072366, 1.32019314413, 12566.15169998280 }, { 0.00000013847, 5.37444701633, 6283.07584999140 }, @@ -3214,10 +3220,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_EARTH[] = { 0.00000000033, 2.66474952932, 12410.73130054860 }, { 0.00000000018, 0.75629855075, 12721.57209941700 }, { 0.00000000011, 4.70234349211, 12592.45001978260 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_EARTH[] = -{ +constexpr array g_VSOP87A_Y4_EARTH +{ { { 0.00000004187, 3.14159265359, 0.00000000000 }, { 0.00000001931, 5.89883838000, 12566.15169998280 }, { 0.00000000595, 0.51679590840, 6283.07584999140 }, @@ -3233,20 +3239,20 @@ const VSOP87Coefficient g_VSOP87A_Y4_EARTH[] = { 0.00000000007, 4.59462394746, 167283.76158766550 }, { 0.00000000005, 1.11835906029, 12410.73130054860 }, { 0.00000000006, 3.99789149114, 156137.47598479927 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_EARTH[] = -{ +constexpr array g_VSOP87A_Y5_EARTH +{ { { 0.00000000072, 0.00000000000, 0.00000000000 }, { 0.00000000043, 4.51710019379, 12566.15169998280 }, { 0.00000000025, 3.76700032666, 6438.49624942560 }, { 0.00000000025, 6.02312589958, 6127.65545055720 }, { 0.00000000021, 2.56882591004, 6283.07584999140 }, { 0.00000000008, 3.95508428463, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_EARTH[] = -{ +constexpr array g_VSOP87A_Z0_EARTH +{ { { 0.00000279620, 3.19870156017, 84334.66158130829 }, { 0.00000101625, 5.42248110597, 5507.55323866740 }, { 0.00000080461, 3.88027157914, 5223.69391980220 }, @@ -3425,10 +3431,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_EARTH[] = { 0.00000000056, 2.60133794851, 73188.37597844210 }, { 0.00000000055, 5.81483150022, 143233.51002162008 }, { 0.00000000054, 3.38482031504, 323049.11878710287 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_EARTH[] = -{ +constexpr array g_VSOP87A_Z1_EARTH +{ { { 0.00227822442, 3.41372504278, 6283.07584999140 }, { 0.00005429282, 0.00000000000, 0.00000000000 }, { 0.00001903183, 3.37061270964, 12566.15169998280 }, @@ -3549,10 +3555,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_EARTH[] = { 0.00000000045, 6.10982446357, 8031.09226305840 }, { 0.00000000043, 4.08726331262, 156137.47598479927 }, { 0.00000000032, 6.09025731476, 64809.80550494129 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_EARTH[] = -{ +constexpr array g_VSOP87A_Z2_EARTH +{ { { 0.00009721989, 5.15233725915, 6283.07584999140 }, { 0.00000349501, 3.14159265359, 0.00000000000 }, { 0.00000067136, 0.64403888586, 12566.15169998280 }, @@ -3606,10 +3612,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_EARTH[] = { 0.00000000019, 1.62978232282, 1194.44701022460 }, { 0.00000000019, 2.82679050999, 1589.07289528380 }, { 0.00000000024, 5.40715542605, 12168.00269657460 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_EARTH[] = -{ +constexpr array g_VSOP87A_Z3_EARTH +{ { { 0.00000276077, 0.59413258730, 6283.07584999140 }, { 0.00000025551, 3.14159265359, 0.00000000000 }, { 0.00000001810, 0.11612262117, 12566.15169998280 }, @@ -3622,84 +3628,83 @@ const VSOP87Coefficient g_VSOP87A_Z3_EARTH[] = { 0.00000000018, 2.29734567137, 6438.49624942560 }, { 0.00000000015, 4.72881467263, 6286.59896834040 }, { 0.00000000011, 1.48347223110, 709.93304855830 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_EARTH[] = -{ +constexpr array g_VSOP87A_Z4_EARTH +{ { { 0.00000005751, 2.27069090892, 6283.07584999140 }, { 0.00000001305, 0.00000000000, 0.00000000000 }, { 0.00000000060, 4.26712050846, 12566.15169998280 }, { 0.00000000006, 4.13914011953, 18849.22754997420 }, { 0.00000000005, 0.84308705203, 1047.74731175470 }, { 0.00000000005, 0.05711572303, 84334.66158130829 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_EARTH[] = -{ +constexpr array g_VSOP87A_Z5_EARTH +{ { { 0.00000000114, 4.31169156923, 6283.07584999140 }, { 0.00000000035, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_EARTH[] = -{ - { g_VSOP87A_X0_EARTH, sizeof(g_VSOP87A_X0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_EARTH, sizeof(g_VSOP87A_X1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_EARTH, sizeof(g_VSOP87A_X2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_EARTH, sizeof(g_VSOP87A_X3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_EARTH, sizeof(g_VSOP87A_X4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_EARTH, sizeof(g_VSOP87A_X5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_EARTH +{ { + { g_VSOP87A_X0_EARTH.data(), g_VSOP87A_X0_EARTH.size() }, + { g_VSOP87A_X1_EARTH.data(), g_VSOP87A_X1_EARTH.size() }, + { g_VSOP87A_X2_EARTH.data(), g_VSOP87A_X2_EARTH.size() }, + { g_VSOP87A_X3_EARTH.data(), g_VSOP87A_X3_EARTH.size() }, + { g_VSOP87A_X4_EARTH.data(), g_VSOP87A_X4_EARTH.size() }, + { g_VSOP87A_X5_EARTH.data(), g_VSOP87A_X5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_EARTH[] = -{ - { g_VSOP87A_Y0_EARTH, sizeof(g_VSOP87A_Y0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_EARTH, sizeof(g_VSOP87A_Y1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_EARTH, sizeof(g_VSOP87A_Y2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_EARTH, sizeof(g_VSOP87A_Y3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_EARTH, sizeof(g_VSOP87A_Y4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_EARTH, sizeof(g_VSOP87A_Y5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_EARTH +{ { + { g_VSOP87A_Y0_EARTH.data(), g_VSOP87A_Y0_EARTH.size() }, + { g_VSOP87A_Y1_EARTH.data(), g_VSOP87A_Y1_EARTH.size() }, + { g_VSOP87A_Y2_EARTH.data(), g_VSOP87A_Y2_EARTH.size() }, + { g_VSOP87A_Y3_EARTH.data(), g_VSOP87A_Y3_EARTH.size() }, + { g_VSOP87A_Y4_EARTH.data(), g_VSOP87A_Y4_EARTH.size() }, + { g_VSOP87A_Y5_EARTH.data(), g_VSOP87A_Y5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_EARTH[] = -{ - { g_VSOP87A_Z0_EARTH, sizeof(g_VSOP87A_Z0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_EARTH, sizeof(g_VSOP87A_Z1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_EARTH, sizeof(g_VSOP87A_Z2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_EARTH, sizeof(g_VSOP87A_Z3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_EARTH, sizeof(g_VSOP87A_Z4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_EARTH, sizeof(g_VSOP87A_Z5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_EARTH +{ { + { g_VSOP87A_Z0_EARTH.data(), g_VSOP87A_Z0_EARTH.size() }, + { g_VSOP87A_Z1_EARTH.data(), g_VSOP87A_Z1_EARTH.size() }, + { g_VSOP87A_Z2_EARTH.data(), g_VSOP87A_Z2_EARTH.size() }, + { g_VSOP87A_Z3_EARTH.data(), g_VSOP87A_Z3_EARTH.size() }, + { g_VSOP87A_Z4_EARTH.data(), g_VSOP87A_Z4_EARTH.size() }, + { g_VSOP87A_Z5_EARTH.data(), g_VSOP87A_Z5_EARTH.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Earth::X(double JD) +double CAAVSOP87A_Earth::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_EARTH, sizeof(g_VSOP87A_X_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_EARTH.data(), g_VSOP87A_X_EARTH.size(), false); } -double CAAVSOP87A_Earth::X_DASH(double JD) +double CAAVSOP87A_Earth::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_EARTH, sizeof(g_VSOP87A_X_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_EARTH.data(), g_VSOP87A_X_EARTH.size()); } -double CAAVSOP87A_Earth::Y(double JD) +double CAAVSOP87A_Earth::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_EARTH, sizeof(g_VSOP87A_Y_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_EARTH.data(), g_VSOP87A_Y_EARTH.size(), false); } -double CAAVSOP87A_Earth::Y_DASH(double JD) +double CAAVSOP87A_Earth::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_EARTH, sizeof(g_VSOP87A_Y_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_EARTH.data(), g_VSOP87A_Y_EARTH.size()); } -double CAAVSOP87A_Earth::Z(double JD) +double CAAVSOP87A_Earth::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_EARTH, sizeof(g_VSOP87A_Z_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_EARTH.data(), g_VSOP87A_Z_EARTH.size(), false); } -double CAAVSOP87A_Earth::Z_DASH(double JD) +double CAAVSOP87A_Earth::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_EARTH, sizeof(g_VSOP87A_Z_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_EARTH.data(), g_VSOP87A_Z_EARTH.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_EMB.cpp b/Sources/AAPlus/AAVSOP87A_EMB.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_EMB.cpp rename to Sources/AAPlus/AAVSOP87A_EMB.cpp index 6b72414..57d9e33 --- a/Vendor/AA+/1.6.3/AAVSOP87A_EMB.cpp +++ b/Sources/AAPlus/AAVSOP87A_EMB.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_EMB.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_EMB.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_EMB[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_EMB +{ { { 0.99982927460, 1.75348568475, 6283.07584999140 }, { 0.00835257300, 1.71034539450, 12566.15169998280 }, { 0.00561144161, 0.00000000000, 0.00000000000 }, @@ -825,10 +831,10 @@ const VSOP87Coefficient g_VSOP87A_X0_EMB[] = { 0.00000000049, 4.54040658078, 11293.47067435560 }, { 0.00000000040, 3.64328287226, 3215.13638064320 }, { 0.00000000040, 0.78396796338, 71980.63357473118 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_EMB[] = -{ +constexpr array g_VSOP87A_X1_EMB +{ { { 0.00123403046, 0.00000000000, 0.00000000000 }, { 0.00051500156, 6.00266267204, 12566.15169998280 }, { 0.00001290726, 5.95943124583, 18849.22754997420 }, @@ -1307,10 +1313,10 @@ const VSOP87Coefficient g_VSOP87A_X1_EMB[] = { 0.00000000019, 2.36455752682, 5618.31980486140 }, { 0.00000000019, 4.28397604583, 6947.83189512140 }, { 0.00000000020, 2.85390720284, 9070.11887384880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_EMB[] = -{ +constexpr array g_VSOP87A_X2_EMB +{ { { 0.00004143217, 3.14159265359, 0.00000000000 }, { 0.00002175695, 4.39999849572, 12566.15169998280 }, { 0.00000995233, 0.20790847155, 6283.07584999140 }, @@ -1496,10 +1502,10 @@ const VSOP87Coefficient g_VSOP87A_X2_EMB[] = { 0.00000000010, 0.18358815992, 12779.45079542080 }, { 0.00000000011, 4.05473090705, 23581.25817731760 }, { 0.00000000011, 0.39656469738, 25158.60171976540 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_EMB[] = -{ +constexpr array g_VSOP87A_X3_EMB +{ { { 0.00000175213, 3.14159265359, 0.00000000000 }, { 0.00000072337, 2.89303952476, 12566.15169998280 }, { 0.00000008364, 3.85500954096, 6283.07584999140 }, @@ -1518,10 +1524,10 @@ const VSOP87Coefficient g_VSOP87A_X3_EMB[] = { 0.00000000018, 2.32709487755, 12721.57209941700 }, { 0.00000000011, 6.27313981891, 12592.45001978260 }, { 0.00000000006, 2.56028859854, 242.72860397400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_EMB[] = -{ +constexpr array g_VSOP87A_X4_EMB +{ { { 0.00000004022, 0.00000000000, 0.00000000000 }, { 0.00000001927, 1.18746233453, 12566.15169998280 }, { 0.00000000491, 5.29890244491, 6283.07584999140 }, @@ -1532,20 +1538,20 @@ const VSOP87Coefficient g_VSOP87A_X4_EMB[] = { 0.00000000021, 0.18140710246, 6286.59896834040 }, { 0.00000000011, 0.65552931190, 25132.30339996560 }, { 0.00000000005, 2.68915538708, 12410.73130054860 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_EMB[] = -{ +constexpr array g_VSOP87A_X5_EMB +{ { { 0.00000000108, 0.00000000000, 0.00000000000 }, { 0.00000000043, 6.08789652058, 12566.15169998280 }, { 0.00000000025, 5.33779665346, 6438.49624942560 }, { 0.00000000025, 1.31073691919, 6127.65545055720 }, { 0.00000000020, 0.94333339828, 6283.07584999140 }, { 0.00000000008, 5.52588061142, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_EMB[] = -{ +constexpr array g_VSOP87A_Y0_EMB +{ { { 0.99989209645, 0.18265890456, 6283.07584999140 }, { 0.02442698841, 3.14159265359, 0.00000000000 }, { 0.00835292314, 0.13952878991, 12566.15169998280 }, @@ -2350,10 +2356,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_EMB[] = { 0.00000000040, 5.21447072458, 3215.13638064320 }, { 0.00000000039, 3.85122558089, 30774.50164257480 }, { 0.00000000046, 3.45581538922, 12146.66705610760 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_EMB[] = -{ +constexpr array g_VSOP87A_Y1_EMB +{ { { 0.00093046317, 0.00000000000, 0.00000000000 }, { 0.00051506609, 4.43180499286, 12566.15169998280 }, { 0.00001290800, 4.38860548540, 18849.22754997420 }, @@ -2836,10 +2842,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_EMB[] = { 0.00000000018, 0.28017726157, 34115.11406927460 }, { 0.00000000020, 2.60251083721, 42456.78404709160 }, { 0.00000000020, 1.28313240949, 9070.11887384880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_EMB[] = -{ +constexpr array g_VSOP87A_Y2_EMB +{ { { 0.00005080208, 0.00000000000, 0.00000000000 }, { 0.00002178016, 2.82957544235, 12566.15169998280 }, { 0.00001020487, 4.63746718598, 6283.07584999140 }, @@ -3024,10 +3030,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_EMB[] = { 0.00000000010, 4.53062887484, 213.29909543800 }, { 0.00000000011, 5.10892321991, 25158.60171976540 }, { 0.00000000009, 2.89659186256, 23581.25817731760 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_EMB[] = -{ +constexpr array g_VSOP87A_Y3_EMB +{ { { 0.00000128116, 3.14159265359, 0.00000000000 }, { 0.00000072366, 1.32019314413, 12566.15169998280 }, { 0.00000013847, 5.37444701633, 6283.07584999140 }, @@ -3045,10 +3051,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_EMB[] = { 0.00000000033, 2.66474952932, 12410.73130054860 }, { 0.00000000018, 0.75629855075, 12721.57209941700 }, { 0.00000000011, 4.70234349211, 12592.45001978260 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_EMB[] = -{ +constexpr array g_VSOP87A_Y4_EMB +{ { { 0.00000004187, 3.14159265359, 0.00000000000 }, { 0.00000001931, 5.89883838000, 12566.15169998280 }, { 0.00000000595, 0.51679590840, 6283.07584999140 }, @@ -3059,20 +3065,20 @@ const VSOP87Coefficient g_VSOP87A_Y4_EMB[] = { 0.00000000021, 4.89379608284, 6286.59896834040 }, { 0.00000000011, 5.36791829228, 25132.30339996560 }, { 0.00000000005, 1.11835906029, 12410.73130054860 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_EMB[] = -{ +constexpr array g_VSOP87A_Y5_EMB +{ { { 0.00000000072, 0.00000000000, 0.00000000000 }, { 0.00000000043, 4.51710019379, 12566.15169998280 }, { 0.00000000025, 3.76700032666, 6438.49624942560 }, { 0.00000000025, 6.02312589958, 6127.65545055720 }, { 0.00000000021, 2.56882591004, 6283.07584999140 }, { 0.00000000008, 3.95508428463, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_EMB[] = -{ +constexpr array g_VSOP87A_Z0_EMB +{ { { 0.00000101625, 5.42248110597, 5507.55323866740 }, { 0.00000080461, 3.88027157914, 5223.69391980220 }, { 0.00000043855, 3.70430347723, 2352.86615377180 }, @@ -3227,10 +3233,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_EMB[] = { 0.00000000075, 2.29836095644, 3634.62102451840 }, { 0.00000000075, 2.66367876557, 16200.77272450120 }, { 0.00000000087, 0.26630214764, 31441.67756975680 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_EMB[] = -{ +constexpr array g_VSOP87A_Z1_EMB +{ { { 0.00227822442, 3.41372504278, 6283.07584999140 }, { 0.00005429282, 0.00000000000, 0.00000000000 }, { 0.00001903183, 3.37061270964, 12566.15169998280 }, @@ -3344,10 +3350,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_EMB[] = { 0.00000000040, 3.02033323932, 10447.38783960440 }, { 0.00000000035, 3.52010534689, 26087.90314157420 }, { 0.00000000045, 6.10982446357, 8031.09226305840 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_EMB[] = -{ +constexpr array g_VSOP87A_Z2_EMB +{ { { 0.00009721989, 5.15233725915, 6283.07584999140 }, { 0.00000349501, 3.14159265359, 0.00000000000 }, { 0.00000067136, 0.64403888586, 12566.15169998280 }, @@ -3394,10 +3400,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_EMB[] = { 0.00000000019, 1.62978232282, 1194.44701022460 }, { 0.00000000019, 2.82679050999, 1589.07289528380 }, { 0.00000000024, 5.40715542605, 12168.00269657460 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_EMB[] = -{ +constexpr array g_VSOP87A_Z3_EMB +{ { { 0.00000276077, 0.59413258730, 6283.07584999140 }, { 0.00000025551, 3.14159265359, 0.00000000000 }, { 0.00000001810, 0.11612262117, 12566.15169998280 }, @@ -3408,83 +3414,81 @@ const VSOP87Coefficient g_VSOP87A_Z3_EMB[] = { 0.00000000018, 1.21049250774, 6127.65545055720 }, { 0.00000000018, 2.29734567137, 6438.49624942560 }, { 0.00000000015, 4.72881467263, 6286.59896834040 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_EMB[] = -{ +constexpr array g_VSOP87A_Z4_EMB +{ { { 0.00000005751, 2.27069090892, 6283.07584999140 }, { 0.00000001305, 0.00000000000, 0.00000000000 }, { 0.00000000060, 4.26712050846, 12566.15169998280 }, { 0.00000000006, 4.13914011953, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_EMB[] = -{ +constexpr array g_VSOP87A_Z5_EMB +{ { { 0.00000000114, 4.31169156923, 6283.07584999140 }, { 0.00000000035, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_EMB[] = -{ - { g_VSOP87A_X0_EMB, sizeof(g_VSOP87A_X0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_EMB, sizeof(g_VSOP87A_X1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_EMB, sizeof(g_VSOP87A_X2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_EMB, sizeof(g_VSOP87A_X3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_EMB, sizeof(g_VSOP87A_X4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_EMB, sizeof(g_VSOP87A_X5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_EMB +{ { + { g_VSOP87A_X0_EMB.data(), g_VSOP87A_X0_EMB.size() }, + { g_VSOP87A_X1_EMB.data(), g_VSOP87A_X1_EMB.size() }, + { g_VSOP87A_X2_EMB.data(), g_VSOP87A_X2_EMB.size() }, + { g_VSOP87A_X3_EMB.data(), g_VSOP87A_X3_EMB.size() }, + { g_VSOP87A_X4_EMB.data(), g_VSOP87A_X4_EMB.size() }, + { g_VSOP87A_X5_EMB.data(), g_VSOP87A_X5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_EMB[] = -{ - { g_VSOP87A_Y0_EMB, sizeof(g_VSOP87A_Y0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_EMB, sizeof(g_VSOP87A_Y1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_EMB, sizeof(g_VSOP87A_Y2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_EMB, sizeof(g_VSOP87A_Y3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_EMB, sizeof(g_VSOP87A_Y4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_EMB, sizeof(g_VSOP87A_Y5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_EMB +{ { + { g_VSOP87A_Y0_EMB.data(), g_VSOP87A_Y0_EMB.size() }, + { g_VSOP87A_Y1_EMB.data(), g_VSOP87A_Y1_EMB.size() }, + { g_VSOP87A_Y2_EMB.data(), g_VSOP87A_Y2_EMB.size() }, + { g_VSOP87A_Y3_EMB.data(), g_VSOP87A_Y3_EMB.size() }, + { g_VSOP87A_Y4_EMB.data(), g_VSOP87A_Y4_EMB.size() }, + { g_VSOP87A_Y5_EMB.data(), g_VSOP87A_Y5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_EMB[] = -{ - { g_VSOP87A_Z0_EMB, sizeof(g_VSOP87A_Z0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_EMB, sizeof(g_VSOP87A_Z1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_EMB, sizeof(g_VSOP87A_Z2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_EMB, sizeof(g_VSOP87A_Z3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_EMB, sizeof(g_VSOP87A_Z4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_EMB, sizeof(g_VSOP87A_Z5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_EMB +{ { + { g_VSOP87A_Z0_EMB.data(), g_VSOP87A_Z0_EMB.size() }, + { g_VSOP87A_Z1_EMB.data(), g_VSOP87A_Z1_EMB.size() }, + { g_VSOP87A_Z2_EMB.data(), g_VSOP87A_Z2_EMB.size() }, + { g_VSOP87A_Z3_EMB.data(), g_VSOP87A_Z3_EMB.size() }, + { g_VSOP87A_Z4_EMB.data(), g_VSOP87A_Z4_EMB.size() }, + { g_VSOP87A_Z5_EMB.data(), g_VSOP87A_Z5_EMB.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_EMB::X(double JD) +double CAAVSOP87A_EMB::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_EMB, sizeof(g_VSOP87A_X_EMB)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_EMB.data(), g_VSOP87A_X_EMB.size(), false); } -double CAAVSOP87A_EMB::X_DASH(double JD) +double CAAVSOP87A_EMB::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_EMB, sizeof(g_VSOP87A_X_EMB)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_EMB.data(), g_VSOP87A_X_EMB.size()); } -double CAAVSOP87A_EMB::Y(double JD) +double CAAVSOP87A_EMB::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_EMB, sizeof(g_VSOP87A_Y_EMB)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_EMB.data(), g_VSOP87A_Y_EMB.size(), false); } -double CAAVSOP87A_EMB::Y_DASH(double JD) +double CAAVSOP87A_EMB::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_EMB, sizeof(g_VSOP87A_Y_EMB)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_EMB.data(), g_VSOP87A_Y_EMB.size()); } -double CAAVSOP87A_EMB::Z(double JD) +double CAAVSOP87A_EMB::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_EMB, sizeof(g_VSOP87A_Z_EMB)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_EMB.data(), g_VSOP87A_Z_EMB.size(), false); } -double CAAVSOP87A_EMB::Z_DASH(double JD) +double CAAVSOP87A_EMB::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_EMB, sizeof(g_VSOP87A_Z_EMB)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_EMB.data(), g_VSOP87A_Z_EMB.size()); } - - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_JUP.cpp b/Sources/AAPlus/AAVSOP87A_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_JUP.cpp rename to Sources/AAPlus/AAVSOP87A_JUP.cpp index 437c644..0e60cdf --- a/Vendor/AA+/1.6.3/AAVSOP87A_JUP.cpp +++ b/Sources/AAPlus/AAVSOP87A_JUP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_JUPITER +{ { { 5.19663470114, 0.59945082355, 529.69096509460 }, { 0.36662642320, 3.14159265359, 0.00000000000 }, { 0.12593937922, 0.94911583701, 1059.38193018920 }, @@ -1087,10 +1093,10 @@ const VSOP87Coefficient g_VSOP87A_X0_JUPITER[] = { 0.00000000451, 2.86326087284, 2527.20280398970 }, { 0.00000000461, 0.43280745403, 9580.50180689780 }, { 0.00000000373, 1.51273456935, 9264.10993724120 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_JUPITER[] = -{ +constexpr array g_VSOP87A_X1_JUPITER +{ { { 0.00882389251, 3.14159265359, 0.00000000000 }, { 0.00635297172, 0.10662156868, 1059.38193018920 }, { 0.00599720482, 2.42996678275, 522.57741809380 }, @@ -1579,10 +1585,10 @@ const VSOP87Coefficient g_VSOP87A_X1_JUPITER[] = { 0.00000000526, 1.28579140279, 3377.21779200400 }, { 0.00000000409, 2.96470929082, 1357.61455258110 }, { 0.00000000453, 4.96226113717, 4319.27985397300 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_JUPITER[] = -{ +constexpr array g_VSOP87A_X2_JUPITER +{ { { 0.00123864644, 4.13563277513, 522.57741809380 }, { 0.00121521296, 0.21155109275, 536.80451209540 }, { 0.00085355503, 0.00000000000, 0.00000000000 }, @@ -1838,10 +1844,10 @@ const VSOP87Coefficient g_VSOP87A_X2_JUPITER[] = { 0.00000000431, 2.42209558244, 849.26422848890 }, { 0.00000000453, 2.50871933627, 4010.00153131720 }, { 0.00000000412, 1.48533922130, 2758.66114669240 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_JUPITER[] = -{ +constexpr array g_VSOP87A_X3_JUPITER +{ { { 0.00017071323, 5.86133022278, 522.57741809380 }, { 0.00016713548, 4.77458794485, 536.80451209540 }, { 0.00003348610, 0.00000000000, 0.00000000000 }, @@ -1982,10 +1988,10 @@ const VSOP87Coefficient g_VSOP87A_X3_JUPITER[] = { 0.00000000415, 1.22669638769, 558.14515309780 }, { 0.00000000412, 0.92939189489, 1884.12412393800 }, { 0.00000000465, 5.90431132183, 2943.50605412720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_JUPITER[] = -{ +constexpr array g_VSOP87A_X4_JUPITER +{ { { 0.00001762402, 1.32863039757, 522.57741809380 }, { 0.00001717846, 3.03331531843, 536.80451209540 }, { 0.00000304063, 1.43144096257, 515.46387109300 }, @@ -2044,10 +2050,10 @@ const VSOP87Coefficient g_VSOP87A_X4_JUPITER[] = { 0.00000000557, 2.29508710588, 1485.98012106520 }, { 0.00000000451, 0.61566349461, 1471.75302706360 }, { 0.00000000396, 3.90384143043, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_JUPITER[] = -{ +constexpr array g_VSOP87A_X5_JUPITER +{ { { 0.00000131471, 3.21284928867, 522.57741809380 }, { 0.00000126748, 1.16307002134, 536.80451209540 }, { 0.00000048324, 3.19657723128, 515.46387109300 }, @@ -2059,10 +2065,10 @@ const VSOP87Coefficient g_VSOP87A_X5_JUPITER[] = { 0.00000000886, 3.25499265714, 508.35032409220 }, { 0.00000000886, 4.22728564482, 551.03160609700 }, { 0.00000000467, 2.94921347849, 1596.18644228460 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_JUPITER[] = -{ +constexpr array g_VSOP87A_Y0_JUPITER +{ { { 5.19520046589, 5.31203162731, 529.69096509460 }, { 0.12592862602, 5.66160227728, 1059.38193018920 }, { 0.09363670616, 3.14159265359, 0.00000000000 }, @@ -3100,10 +3106,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_JUPITER[] = { 0.00000000503, 1.62796162151, 5856.47765911540 }, { 0.00000000467, 4.62700522628, 2654.67460059650 }, { 0.00000000397, 3.56270803011, 5371.54823716140 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_JUPITER[] = -{ +constexpr array g_VSOP87A_Y1_JUPITER +{ { { 0.01694798253, 3.14159265359, 0.00000000000 }, { 0.00634859798, 4.81903199650, 1059.38193018920 }, { 0.00601160431, 0.85811249940, 522.57741809380 }, @@ -3603,10 +3609,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_JUPITER[] = { 0.00000000376, 0.48003200118, 614.62449204850 }, { 0.00000000514, 3.78168900426, 4752.99159184980 }, { 0.00000000369, 3.52888759515, 4120.20785253660 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_JUPITER[] = -{ +constexpr array g_VSOP87A_Y2_JUPITER +{ { { 0.00124032509, 2.56495576833, 522.57741809380 }, { 0.00121455991, 4.92398766380, 536.80451209540 }, { 0.00076523263, 3.75913371793, 529.69096509460 }, @@ -3866,10 +3872,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_JUPITER[] = { 0.00000000402, 5.96207457174, 2730.20695868920 }, { 0.00000000402, 2.01243830321, 2531.13495725280 }, { 0.00000000412, 6.19801347868, 2758.66114669240 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_JUPITER[] = -{ +constexpr array g_VSOP87A_Y3_JUPITER +{ { { 0.00017085516, 4.29096904063, 522.57741809380 }, { 0.00016701353, 3.20365737109, 536.80451209540 }, { 0.00004006038, 0.00000000000, 0.00000000000 }, @@ -4006,10 +4012,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_JUPITER[] = { 0.00000000523, 2.55250481076, 1802.37199072180 }, { 0.00000000415, 4.68478558747, 501.23677709140 }, { 0.00000000415, 5.93908536808, 558.14515309780 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_JUPITER[] = -{ +constexpr array g_VSOP87A_Y4_JUPITER +{ { { 0.00001762645, 6.04159386554, 522.57741809380 }, { 0.00001716045, 1.46206285710, 536.80451209540 }, { 0.00000305036, 6.14052786819, 515.46387109300 }, @@ -4070,10 +4076,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_JUPITER[] = { 0.00000000498, 1.06608244072, 1361.54670584420 }, { 0.00000000468, 5.07209650650, 21.34064100240 }, { 0.00000000396, 2.33304510363, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_JUPITER[] = -{ +constexpr array g_VSOP87A_Y5_JUPITER +{ { { 0.00000131471, 1.64205554066, 522.57741809380 }, { 0.00000126634, 5.87372673584, 536.80451209540 }, { 0.00000048269, 1.62788936723, 515.46387109300 }, @@ -4085,10 +4091,10 @@ const VSOP87Coefficient g_VSOP87A_Y5_JUPITER[] = { 0.00000000886, 1.68419633034, 508.35032409220 }, { 0.00000000886, 2.65648931803, 551.03160609700 }, { 0.00000000467, 1.37841715169, 1596.18644228460 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_JUPITER[] = -{ +constexpr array g_VSOP87A_Z0_JUPITER +{ { { 0.11823100489, 3.55844646343, 529.69096509460 }, { 0.00859031952, 0.00000000000, 0.00000000000 }, { 0.00286562094, 3.90812238338, 1059.38193018920 }, @@ -4305,10 +4311,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_JUPITER[] = { 0.00000000927, 4.91765336511, 1593.00504854690 }, { 0.00000000826, 5.05738343335, 2847.52682690940 }, { 0.00000000738, 0.70435921398, 522.52923398400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_JUPITER[] = -{ +constexpr array g_VSOP87A_Z1_JUPITER +{ { { 0.00407072175, 1.52699353482, 529.69096509460 }, { 0.00020307341, 2.59878269248, 1059.38193018920 }, { 0.00014424953, 4.85400155025, 536.80451209540 }, @@ -4413,10 +4419,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_JUPITER[] = { 0.00000000825, 4.68155089578, 526.77020378780 }, { 0.00000000819, 5.94254789616, 532.61172640140 }, { 0.00000001032, 0.77806611203, 74.78159856730 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_JUPITER[] = -{ +constexpr array g_VSOP87A_Z2_JUPITER +{ { { 0.00028635326, 3.01374166973, 529.69096509460 }, { 0.00003114752, 3.13228646176, 536.80451209540 }, { 0.00002379765, 0.95574345340, 522.57741809380 }, @@ -4482,10 +4488,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_JUPITER[] = { 0.00000000852, 2.67893555103, 440.82528487760 }, { 0.00000000831, 1.37955361260, 1258.45393162560 }, { 0.00000000769, 2.37777541795, 1485.98012106520 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_JUPITER[] = -{ +constexpr array g_VSOP87A_Z3_JUPITER +{ { { 0.00000964355, 4.79228412032, 529.69096509460 }, { 0.00000443244, 1.39969952998, 536.80451209540 }, { 0.00000295600, 2.81281406373, 522.57741809380 }, @@ -4513,10 +4519,10 @@ const VSOP87Coefficient g_VSOP87A_Z3_JUPITER[] = { 0.00000001131, 5.41393274707, 103.09277421860 }, { 0.00000000922, 0.27894425979, 942.06206196900 }, { 0.00000000797, 1.55035889004, 625.67019231240 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_JUPITER[] = -{ +constexpr array g_VSOP87A_Z4_JUPITER +{ { { 0.00000046366, 5.93695398581, 536.80451209540 }, { 0.00000027761, 4.80287441467, 522.57741809380 }, { 0.00000005858, 4.53622024534, 515.46387109300 }, @@ -4527,75 +4533,74 @@ const VSOP87Coefficient g_VSOP87A_Z4_JUPITER[] = { 0.00000001549, 4.58690059715, 1059.38193018920 }, { 0.00000001490, 4.51390841743, 1052.26838318840 }, { 0.00000001130, 1.32994670268, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_JUPITER[] = -{ +constexpr array g_VSOP87A_Z5_JUPITER +{ { { 0.00000003446, 4.10413626462, 536.80451209540 }, { 0.00000002243, 0.82614663721, 522.57741809380 }, { 0.00000001081, 0.05498457769, 515.46387109300 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_JUPITER[] = -{ - { g_VSOP87A_X0_JUPITER, sizeof(g_VSOP87A_X0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_JUPITER, sizeof(g_VSOP87A_X1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_JUPITER, sizeof(g_VSOP87A_X2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_JUPITER, sizeof(g_VSOP87A_X3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_JUPITER, sizeof(g_VSOP87A_X4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_JUPITER, sizeof(g_VSOP87A_X5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_JUPITER +{ { + { g_VSOP87A_X0_JUPITER.data(), g_VSOP87A_X0_JUPITER.size() }, + { g_VSOP87A_X1_JUPITER.data(), g_VSOP87A_X1_JUPITER.size() }, + { g_VSOP87A_X2_JUPITER.data(), g_VSOP87A_X2_JUPITER.size() }, + { g_VSOP87A_X3_JUPITER.data(), g_VSOP87A_X3_JUPITER.size() }, + { g_VSOP87A_X4_JUPITER.data(), g_VSOP87A_X4_JUPITER.size() }, + { g_VSOP87A_X5_JUPITER.data(), g_VSOP87A_X5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_JUPITER[] = -{ - { g_VSOP87A_Y0_JUPITER, sizeof(g_VSOP87A_Y0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_JUPITER, sizeof(g_VSOP87A_Y1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_JUPITER, sizeof(g_VSOP87A_Y2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_JUPITER, sizeof(g_VSOP87A_Y3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_JUPITER, sizeof(g_VSOP87A_Y4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_JUPITER, sizeof(g_VSOP87A_Y5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_JUPITER +{ { + { g_VSOP87A_Y0_JUPITER.data(), g_VSOP87A_Y0_JUPITER.size() }, + { g_VSOP87A_Y1_JUPITER.data(), g_VSOP87A_Y1_JUPITER.size() }, + { g_VSOP87A_Y2_JUPITER.data(), g_VSOP87A_Y2_JUPITER.size() }, + { g_VSOP87A_Y3_JUPITER.data(), g_VSOP87A_Y3_JUPITER.size() }, + { g_VSOP87A_Y4_JUPITER.data(), g_VSOP87A_Y4_JUPITER.size() }, + { g_VSOP87A_Y5_JUPITER.data(), g_VSOP87A_Y5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_JUPITER[] = -{ - { g_VSOP87A_Z0_JUPITER, sizeof(g_VSOP87A_Z0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_JUPITER, sizeof(g_VSOP87A_Z1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_JUPITER, sizeof(g_VSOP87A_Z2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_JUPITER, sizeof(g_VSOP87A_Z3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_JUPITER, sizeof(g_VSOP87A_Z4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_JUPITER, sizeof(g_VSOP87A_Z5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_JUPITER +{ { + { g_VSOP87A_Z0_JUPITER.data(), g_VSOP87A_Z0_JUPITER.size() }, + { g_VSOP87A_Z1_JUPITER.data(), g_VSOP87A_Z1_JUPITER.size() }, + { g_VSOP87A_Z2_JUPITER.data(), g_VSOP87A_Z2_JUPITER.size() }, + { g_VSOP87A_Z3_JUPITER.data(), g_VSOP87A_Z3_JUPITER.size() }, + { g_VSOP87A_Z4_JUPITER.data(), g_VSOP87A_Z4_JUPITER.size() }, + { g_VSOP87A_Z5_JUPITER.data(), g_VSOP87A_Z5_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Jupiter::X(double JD) +double CAAVSOP87A_Jupiter::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_JUPITER, sizeof(g_VSOP87A_X_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_JUPITER.data(), g_VSOP87A_X_JUPITER.size(), false); } -double CAAVSOP87A_Jupiter::X_DASH(double JD) +double CAAVSOP87A_Jupiter::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_JUPITER, sizeof(g_VSOP87A_X_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_JUPITER.data(), g_VSOP87A_X_JUPITER.size()); } -double CAAVSOP87A_Jupiter::Y(double JD) +double CAAVSOP87A_Jupiter::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_JUPITER, sizeof(g_VSOP87A_Y_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_JUPITER.data(), g_VSOP87A_Y_JUPITER.size(), false); } -double CAAVSOP87A_Jupiter::Y_DASH(double JD) +double CAAVSOP87A_Jupiter::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_JUPITER, sizeof(g_VSOP87A_Y_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_JUPITER.data(), g_VSOP87A_Y_JUPITER.size()); } -double CAAVSOP87A_Jupiter::Z(double JD) +double CAAVSOP87A_Jupiter::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_JUPITER, sizeof(g_VSOP87A_Z_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_JUPITER.data(), g_VSOP87A_Z_JUPITER.size(), false); } -double CAAVSOP87A_Jupiter::Z_DASH(double JD) +double CAAVSOP87A_Jupiter::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_JUPITER, sizeof(g_VSOP87A_Z_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_JUPITER.data(), g_VSOP87A_Z_JUPITER.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_MAR.cpp b/Sources/AAPlus/AAVSOP87A_MAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_MAR.cpp rename to Sources/AAPlus/AAVSOP87A_MAR.cpp index 5555002..7b1555d --- a/Vendor/AA+/1.6.3/AAVSOP87A_MAR.cpp +++ b/Sources/AAPlus/AAVSOP87A_MAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_MARS +{ { { 1.51769936383, 6.20403346548, 3340.61242669980 }, { 0.19502945246, 3.14159265359, 0.00000000000 }, { 0.07070919655, 0.25870338558, 6681.22485339960 }, @@ -1616,10 +1622,10 @@ const VSOP87Coefficient g_VSOP87A_X0_MARS[] = { 0.00000000061, 2.45880942377, 7630.40046236940 }, { 0.00000000061, 5.62643638872, 1737.31243741440 }, { 0.00000000067, 5.86396730577, 13366.04013545100 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_MARS[] = -{ +constexpr array g_VSOP87A_X1_MARS +{ { { 0.00861441374, 3.14159265359, 0.00000000000 }, { 0.00552437949, 5.09565872891, 6681.22485339960 }, { 0.00077184977, 5.43315636209, 10021.83728009940 }, @@ -2576,10 +2582,10 @@ const VSOP87Coefficient g_VSOP87A_X1_MARS[] = { 0.00000000027, 2.52697440495, 7534.42123515160 }, { 0.00000000028, 2.02156853747, 3517.30615683360 }, { 0.00000000028, 0.96060572758, 3163.91869656600 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_MARS[] = -{ +constexpr array g_VSOP87A_X2_MARS +{ { { 0.00056323939, 0.00000000000, 0.00000000000 }, { 0.00022122528, 3.54372113272, 6681.22485339960 }, { 0.00006091409, 3.93272649649, 10021.83728009940 }, @@ -2967,10 +2973,10 @@ const VSOP87Coefficient g_VSOP87A_X2_MARS[] = { 0.00000000015, 2.21611077272, 35464.98147893340 }, { 0.00000000016, 3.41121610919, 12808.88030395680 }, { 0.00000000018, 5.62217102143, 14867.73751589219 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_MARS[] = -{ +constexpr array g_VSOP87A_X3_MARS +{ { { 0.00000849999, 0.00000000000, 0.00000000000 }, { 0.00000560133, 1.94007552058, 6681.22485339960 }, { 0.00000318062, 2.39391695789, 10021.83728009940 }, @@ -3106,10 +3112,10 @@ const VSOP87Coefficient g_VSOP87A_X3_MARS[] = { 0.00000000009, 1.90233913976, 3340.62968035200 }, { 0.00000000007, 3.08364199209, 14158.74771361560 }, { 0.00000000009, 6.15595082739, 3340.59517304760 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_MARS[] = -{ +constexpr array g_VSOP87A_X4_MARS +{ { { 0.00000025349, 3.14159265359, 0.00000000000 }, { 0.00000012260, 0.83414775886, 10021.83728009940 }, { 0.00000010035, 0.40425836057, 6681.22485339960 }, @@ -3151,10 +3157,10 @@ const VSOP87Coefficient g_VSOP87A_X4_MARS[] = { 0.00000000007, 3.90588497604, 4933.20844033260 }, { 0.00000000004, 5.28325791601, 13207.02930736500 }, { 0.00000000004, 0.05439896723, 9468.26787725700 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_MARS[] = -{ +constexpr array g_VSOP87A_X5_MARS +{ { { 0.00000000360, 5.54721578166, 10021.83728009940 }, { 0.00000000274, 2.70467042100, 3185.19202726560 }, { 0.00000000274, 0.28001490932, 3496.03282613400 }, @@ -3176,10 +3182,10 @@ const VSOP87Coefficient g_VSOP87A_X5_MARS[] = { 0.00000000005, 4.46712294634, 6127.65545055720 }, { 0.00000000005, 0.84565489791, 23384.28698689860 }, { 0.00000000004, 1.88610464642, 6438.49624942560 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_MARS[] = -{ +constexpr array g_VSOP87A_Y0_MARS +{ { { 1.51558976277, 4.63212206588, 3340.61242669980 }, { 0.07064550239, 4.97051892902, 6681.22485339960 }, { 0.08655481102, 0.00000000000, 0.00000000000 }, @@ -4792,10 +4798,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_MARS[] = { 0.00000000059, 3.56862936961, 16342.95135153740 }, { 0.00000000067, 4.29317097897, 13366.04013545100 }, { 0.00000000057, 5.77490231900, 33163.39566302400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_MARS[] = -{ +constexpr array g_VSOP87A_Y1_MARS +{ { { 0.01427324210, 3.14159265359, 0.00000000000 }, { 0.00551063753, 3.52128320402, 6681.22485339960 }, { 0.00077091913, 3.86082685753, 10021.83728009940 }, @@ -5765,10 +5771,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_MARS[] = { 0.00000000029, 0.58910694177, 33318.81606245820 }, { 0.00000000028, 0.45077221068, 3517.30615683360 }, { 0.00000000028, 5.67299470796, 3163.91869656600 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_MARS[] = -{ +constexpr array g_VSOP87A_Y2_MARS +{ { { 0.00035396765, 3.14159265359, 0.00000000000 }, { 0.00021950759, 1.96291594946, 6681.22485339960 }, { 0.00006075990, 2.35864321001, 10021.83728009940 }, @@ -6153,10 +6159,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_MARS[] = { 0.00000000014, 5.84585102698, 11243.68584642080 }, { 0.00000000016, 1.84041978240, 12808.88030395680 }, { 0.00000000014, 3.69123561689, 9595.23908922340 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_MARS[] = -{ +constexpr array g_VSOP87A_Y3_MARS +{ { { 0.00001448778, 0.00000000000, 0.00000000000 }, { 0.00000548277, 0.33360423382, 6681.22485339960 }, { 0.00000316422, 0.81609547752, 10021.83728009940 }, @@ -6293,10 +6299,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_MARS[] = { 0.00000000007, 1.51284566529, 14158.74771361560 }, { 0.00000000009, 1.44225445435, 3340.59517304760 }, { 0.00000000008, 6.23704450936, 1751.53953141600 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_MARS[] = -{ +constexpr array g_VSOP87A_Y4_MARS +{ { { 0.00000012136, 5.53171096923, 10021.83728009940 }, { 0.00000014558, 0.00000000000, 0.00000000000 }, { 0.00000009397, 5.00023134055, 6681.22485339960 }, @@ -6341,10 +6347,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_MARS[] = { 0.00000000004, 5.94715857693, 382.89653222320 }, { 0.00000000004, 3.71246158922, 13207.02930736500 }, { 0.00000000004, 4.76678794761, 9468.26787725700 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_MARS[] = -{ +constexpr array g_VSOP87A_Y5_MARS +{ { { 0.00000000353, 3.94830849426, 10021.83728009940 }, { 0.00000000274, 4.99240388971, 3496.03282613400 }, { 0.00000000272, 1.12308951649, 3185.19202726560 }, @@ -6366,10 +6372,10 @@ const VSOP87Coefficient g_VSOP87A_Y5_MARS[] = { 0.00000000005, 2.89632661954, 6127.65545055720 }, { 0.00000000005, 5.55804387830, 23384.28698689860 }, { 0.00000000004, 0.31530831962, 6438.49624942560 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_MARS[] = -{ +constexpr array g_VSOP87A_Z0_MARS +{ { { 0.04901207220, 3.76712324286, 3340.61242669980 }, { 0.00660669541, 0.00000000000, 0.00000000000 }, { 0.00228333904, 4.10544022266, 6681.22485339960 }, @@ -6725,10 +6731,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_MARS[] = { 0.00000000107, 3.59856046864, 5989.06725217280 }, { 0.00000000106, 5.69966166034, 33561.54466643220 }, { 0.00000000105, 3.97375976080, 9380.95967271720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_MARS[] = -{ +constexpr array g_VSOP87A_Z1_MARS +{ { { 0.00331842958, 6.05027773492, 3340.61242669980 }, { 0.00047930411, 3.14159265359, 0.00000000000 }, { 0.00009896501, 1.61155844715, 6681.22485339960 }, @@ -6961,10 +6967,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_MARS[] = { 0.00000000053, 6.24589101777, 20199.09495963300 }, { 0.00000000059, 4.96649103229, 3191.04922956520 }, { 0.00000000052, 4.94957858677, 24734.15439655740 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_MARS[] = -{ +constexpr array g_VSOP87A_Z2_MARS +{ { { 0.00013705360, 1.04212852598, 3340.61242669980 }, { 0.00005931596, 3.14159265359, 0.00000000000 }, { 0.00000716728, 0.12154825255, 6681.22485339960 }, @@ -7087,10 +7093,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_MARS[] = { 0.00000000029, 5.64395801617, 10021.85453375160 }, { 0.00000000028, 3.21594452948, 12832.75874170460 }, { 0.00000000031, 4.28897734330, 6298.32832117640 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_MARS[] = -{ +constexpr array g_VSOP87A_Z3_MARS +{ { { 0.00000489822, 2.06392886831, 3340.61242669980 }, { 0.00000212575, 0.00000000000, 0.00000000000 }, { 0.00000008245, 4.91827993759, 6681.22485339960 }, @@ -7142,10 +7148,10 @@ const VSOP87Coefficient g_VSOP87A_Z3_MARS[] = { 0.00000000015, 4.15953675017, 6677.70173505060 }, { 0.00000000015, 5.82992617855, 3333.49887969900 }, { 0.00000000015, 1.48303517461, 1059.38193018920 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_MARS[] = -{ +constexpr array g_VSOP87A_Z4_MARS +{ { { 0.00000015141, 0.00000000000, 0.00000000000 }, { 0.00000010395, 3.33271505543, 3340.61242669980 }, { 0.00000000256, 3.76243173590, 10021.83728009940 }, @@ -7162,10 +7168,10 @@ const VSOP87Coefficient g_VSOP87A_Z4_MARS[] = { 0.00000000008, 1.82884997572, 2787.04302385740 }, { 0.00000000010, 1.73117485258, 6525.80445396540 }, { 0.00000000008, 4.21120519002, 6684.74797174860 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_MARS[] = -{ +constexpr array g_VSOP87A_Z5_MARS +{ { { 0.00000000505, 4.62558150778, 3340.61242669980 }, { 0.00000000080, 3.14159265359, 0.00000000000 }, { 0.00000000027, 5.16649907997, 6681.22485339960 }, @@ -7173,68 +7179,67 @@ const VSOP87Coefficient g_VSOP87A_Z5_MARS[] = { 0.00000000006, 6.16271063962, 3185.19202726560 }, { 0.00000000004, 1.89844577416, 10021.83728009940 }, { 0.00000000004, 2.66634523708, 13362.44970679920 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_MARS[] = -{ - { g_VSOP87A_X0_MARS, sizeof(g_VSOP87A_X0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_MARS, sizeof(g_VSOP87A_X1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_MARS, sizeof(g_VSOP87A_X2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_MARS, sizeof(g_VSOP87A_X3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_MARS, sizeof(g_VSOP87A_X4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_MARS, sizeof(g_VSOP87A_X5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_MARS +{ { + { g_VSOP87A_X0_MARS.data(), g_VSOP87A_X0_MARS.size() }, + { g_VSOP87A_X1_MARS.data(), g_VSOP87A_X1_MARS.size() }, + { g_VSOP87A_X2_MARS.data(), g_VSOP87A_X2_MARS.size() }, + { g_VSOP87A_X3_MARS.data(), g_VSOP87A_X3_MARS.size() }, + { g_VSOP87A_X4_MARS.data(), g_VSOP87A_X4_MARS.size() }, + { g_VSOP87A_X5_MARS.data(), g_VSOP87A_X5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_MARS[] = -{ - { g_VSOP87A_Y0_MARS, sizeof(g_VSOP87A_Y0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_MARS, sizeof(g_VSOP87A_Y1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_MARS, sizeof(g_VSOP87A_Y2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_MARS, sizeof(g_VSOP87A_Y3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_MARS, sizeof(g_VSOP87A_Y4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_MARS, sizeof(g_VSOP87A_Y5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_MARS +{ { + { g_VSOP87A_Y0_MARS.data(), g_VSOP87A_Y0_MARS.size() }, + { g_VSOP87A_Y1_MARS.data(), g_VSOP87A_Y1_MARS.size() }, + { g_VSOP87A_Y2_MARS.data(), g_VSOP87A_Y2_MARS.size() }, + { g_VSOP87A_Y3_MARS.data(), g_VSOP87A_Y3_MARS.size() }, + { g_VSOP87A_Y4_MARS.data(), g_VSOP87A_Y4_MARS.size() }, + { g_VSOP87A_Y5_MARS.data(), g_VSOP87A_Y5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_MARS[] = -{ - { g_VSOP87A_Z0_MARS, sizeof(g_VSOP87A_Z0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_MARS, sizeof(g_VSOP87A_Z1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_MARS, sizeof(g_VSOP87A_Z2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_MARS, sizeof(g_VSOP87A_Z3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_MARS, sizeof(g_VSOP87A_Z4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_MARS, sizeof(g_VSOP87A_Z5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_MARS +{ { + { g_VSOP87A_Z0_MARS.data(), g_VSOP87A_Z0_MARS.size() }, + { g_VSOP87A_Z1_MARS.data(), g_VSOP87A_Z1_MARS.size() }, + { g_VSOP87A_Z2_MARS.data(), g_VSOP87A_Z2_MARS.size() }, + { g_VSOP87A_Z3_MARS.data(), g_VSOP87A_Z3_MARS.size() }, + { g_VSOP87A_Z4_MARS.data(), g_VSOP87A_Z4_MARS.size() }, + { g_VSOP87A_Z5_MARS.data(), g_VSOP87A_Z5_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Mars::X(double JD) +double CAAVSOP87A_Mars::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_MARS, sizeof(g_VSOP87A_X_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_MARS.data(), g_VSOP87A_X_MARS.size(), false); } -double CAAVSOP87A_Mars::X_DASH(double JD) +double CAAVSOP87A_Mars::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_MARS, sizeof(g_VSOP87A_X_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_MARS.data(), g_VSOP87A_X_MARS.size()); } -double CAAVSOP87A_Mars::Y(double JD) +double CAAVSOP87A_Mars::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_MARS, sizeof(g_VSOP87A_Y_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_MARS.data(), g_VSOP87A_Y_MARS.size(), false); } -double CAAVSOP87A_Mars::Y_DASH(double JD) +double CAAVSOP87A_Mars::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_MARS, sizeof(g_VSOP87A_Y_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_MARS.data(), g_VSOP87A_Y_MARS.size()); } -double CAAVSOP87A_Mars::Z(double JD) +double CAAVSOP87A_Mars::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_MARS, sizeof(g_VSOP87A_Z_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_MARS.data(), g_VSOP87A_Z_MARS.size(), false); } -double CAAVSOP87A_Mars::Z_DASH(double JD) +double CAAVSOP87A_Mars::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_MARS, sizeof(g_VSOP87A_Z_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_MARS.data(), g_VSOP87A_Z_MARS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_MER.cpp b/Sources/AAPlus/AAVSOP87A_MER.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_MER.cpp rename to Sources/AAPlus/AAVSOP87A_MER.cpp index 64fb173..3b5a6a2 --- a/Vendor/AA+/1.6.3/AAVSOP87A_MER.cpp +++ b/Sources/AAPlus/AAVSOP87A_MER.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_MERCURY +{ { { 0.37546291728, 4.39651506942, 26087.90314157420 }, { 0.03825746672, 1.16485604339, 52175.80628314840 }, { 0.02625615963, 3.14159265359, 0.00000000000 }, @@ -1481,10 +1487,10 @@ const VSOP87Coefficient g_VSOP87A_X0_MERCURY[] = { 0.00000000001, 0.09710299820, 5039.58824831300 }, { 0.00000000002, 0.17683937064, 23549.65463732060 }, { 0.00000000002, 5.06371993416, 51472.17309853099 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_MERCURY[] = -{ +constexpr array g_VSOP87A_X1_MERCURY +{ { { 0.00318848034, 0.00000000000, 0.00000000000 }, { 0.00105289019, 5.91600475006, 52175.80628314840 }, { 0.00032316001, 2.68247273347, 78263.70942472259 }, @@ -2277,10 +2283,10 @@ const VSOP87Coefficient g_VSOP87A_X1_MERCURY[] = { 0.00000000001, 1.20518566567, 126067.63934109679 }, { 0.00000000001, 2.40166427113, 30171.89164827860 }, { 0.00000000001, 3.26196076008, 22003.91463486980 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_MERCURY[] = -{ +constexpr array g_VSOP87A_X2_MERCURY +{ { { 0.00001484185, 4.35401210269, 52175.80628314840 }, { 0.00000907467, 1.13216343018, 78263.70942472259 }, { 0.00001214995, 0.00000000000, 0.00000000000 }, @@ -2580,10 +2586,10 @@ const VSOP87Coefficient g_VSOP87A_X2_MERCURY[] = { 0.00000000000, 4.61352864146, 130419.84594697120 }, { 0.00000000000, 3.88771739364, 207593.84658050019 }, { 0.00000000000, 2.04823124840, 78903.60671103658 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_MERCURY[] = -{ +constexpr array g_VSOP87A_X3_MERCURY +{ { { 0.00000046252, 3.14159265359, 0.00000000000 }, { 0.00000017461, 5.90570575226, 78263.70942472259 }, { 0.00000014855, 2.98081270061, 52175.80628314840 }, @@ -2638,10 +2644,10 @@ const VSOP87Coefficient g_VSOP87A_X3_MERCURY[] = { 0.00000000000, 0.88049716681, 66941.04532641819 }, { 0.00000000000, 3.47000316143, 23869.14603738740 }, { 0.00000000000, 5.99203553905, 76044.95232053580 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_MERCURY[] = -{ +constexpr array g_VSOP87A_X4_MERCURY +{ { { 0.00000000396, 3.14159265359, 0.00000000000 }, { 0.00000000277, 4.46911521792, 78263.70942472259 }, { 0.00000000233, 1.15859255567, 104351.61256629678 }, @@ -2657,10 +2663,10 @@ const VSOP87Coefficient g_VSOP87A_X4_MERCURY[] = { 0.00000000000, 4.34124968448, 77154.33087262919 }, { 0.00000000000, 1.17335789419, 51066.42773105500 }, { 0.00000000000, 4.21582355257, 53285.18483524180 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_MERCURY[] = -{ +constexpr array g_VSOP87A_X5_MERCURY +{ { { 0.00000000010, 0.00000000000, 0.00000000000 }, { 0.00000000004, 5.91649200666, 104351.61256629678 }, { 0.00000000004, 2.83757947000, 78263.70942472259 }, @@ -2671,10 +2677,10 @@ const VSOP87Coefficient g_VSOP87A_X5_MERCURY[] = { 0.00000000001, 2.45874789246, 182615.32199101939 }, { 0.00000000001, 5.48978296351, 208703.22513259359 }, { 0.00000000000, 2.24360021689, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_MERCURY[] = -{ +constexpr array g_VSOP87A_Y0_MERCURY +{ { { 0.37953642888, 2.83780617820, 26087.90314157420 }, { 0.11626131831, 3.14159265359, 0.00000000000 }, { 0.03854668215, 5.88780608966, 52175.80628314840 }, @@ -4113,10 +4119,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_MERCURY[] = { 0.00000000001, 1.05389010615, 50807.14603030339 }, { 0.00000000002, 3.49292360736, 51472.17309853099 }, { 0.00000000002, 0.19610603007, 952.07662325960 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_MERCURY[] = -{ +constexpr array g_VSOP87A_Y1_MERCURY +{ { { 0.00107803852, 4.34964793883, 52175.80628314840 }, { 0.00080651544, 3.14159265359, 0.00000000000 }, { 0.00032715354, 1.11763734425, 78263.70942472259 }, @@ -4899,10 +4905,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_MERCURY[] = { 0.00000000001, 5.91757464605, 126067.63934109679 }, { 0.00000000001, 0.83086794433, 30171.89164827860 }, { 0.00000000001, 1.69116443329, 22003.91463486980 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_MERCURY[] = -{ +constexpr array g_VSOP87A_Y2_MERCURY +{ { { 0.00004612157, 0.00000000000, 0.00000000000 }, { 0.00001575670, 2.81172733349, 52175.80628314840 }, { 0.00000927896, 5.85368769122, 78263.70942472259 }, @@ -5202,10 +5208,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_MERCURY[] = { 0.00000000000, 3.04273231467, 130419.84594697120 }, { 0.00000000000, 2.31692106685, 207593.84658050019 }, { 0.00000000000, 0.47743492160, 78903.60671103658 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_MERCURY[] = -{ +constexpr array g_VSOP87A_Y3_MERCURY +{ { { 0.00000018231, 4.35141183918, 78263.70942472259 }, { 0.00000017840, 1.45419068020, 52175.80628314840 }, { 0.00000015722, 0.00000000000, 0.00000000000 }, @@ -5265,10 +5271,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_MERCURY[] = { 0.00000000000, 6.21244642317, 14765.23904326980 }, { 0.00000000000, 5.04079948823, 23869.14603738740 }, { 0.00000000000, 4.42123921226, 76044.95232053580 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_MERCURY[] = -{ +constexpr array g_VSOP87A_Y4_MERCURY +{ { { 0.00000000448, 3.14159265359, 0.00000000000 }, { 0.00000000299, 2.91725329579, 78263.70942472259 }, { 0.00000000241, 5.88233684971, 104351.61256629678 }, @@ -5284,10 +5290,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_MERCURY[] = { 0.00000000000, 6.11024431934, 51066.42773105500 }, { 0.00000000000, 2.77045335769, 77154.33087262919 }, { 0.00000000000, 2.64502722578, 53285.18483524180 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_MERCURY[] = -{ +constexpr array g_VSOP87A_Y5_MERCURY +{ { { 0.00000000005, 4.36366479961, 104351.61256629678 }, { 0.00000000004, 1.29818204726, 78263.70942472259 }, { 0.00000000003, 1.10210039292, 130439.51570787099 }, @@ -5298,10 +5304,10 @@ const VSOP87Coefficient g_VSOP87A_Y5_MERCURY[] = { 0.00000000001, 0.88060083637, 182615.32199101939 }, { 0.00000000001, 3.91898663672, 208703.22513259359 }, { 0.00000000000, 0.67280389009, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_MERCURY[] = -{ +constexpr array g_VSOP87A_Z0_MERCURY +{ { { 0.04607665326, 1.99295081967, 26087.90314157420 }, { 0.00708734365, 3.14159265359, 0.00000000000 }, { 0.00469171617, 5.04215742764, 52175.80628314840 }, @@ -5900,10 +5906,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_MERCURY[] = { 0.00000000003, 2.24128507678, 78160.61665050399 }, { 0.00000000003, 1.67457691866, 182188.72380014337 }, { 0.00000000003, 1.36021422148, 136722.59155786238 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_MERCURY[] = -{ +constexpr array g_VSOP87A_Z1_MERCURY +{ { { 0.00108722177, 3.91134750825, 26087.90314157420 }, { 0.00057826621, 3.14159265359, 0.00000000000 }, { 0.00004297352, 2.56373047177, 52175.80628314840 }, @@ -6255,10 +6261,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_MERCURY[] = { 0.00000000001, 3.99060758894, 25867.49049913539 }, { 0.00000000002, 2.21751883952, 103.09277421860 }, { 0.00000000002, 1.60021595888, 51528.79544983359 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_MERCURY[] = -{ +constexpr array g_VSOP87A_Z2_MERCURY +{ { { 0.00001053118, 5.37979214357, 26087.90314157420 }, { 0.00001185024, 0.00000000000, 0.00000000000 }, { 0.00000087113, 0.42206932430, 52175.80628314840 }, @@ -6402,10 +6408,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_MERCURY[] = { 0.00000000001, 4.71749238622, 64741.95798313119 }, { 0.00000000001, 4.54522829555, 11322.66409830440 }, { 0.00000000001, 5.58176968080, 78477.00852016058 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_MERCURY[] = -{ +constexpr array g_VSOP87A_Z3_MERCURY +{ { { 0.00000021392, 2.12804278460, 26087.90314157420 }, { 0.00000017872, 0.00000000000, 0.00000000000 }, { 0.00000002919, 5.41085836184, 52175.80628314840 }, @@ -6434,10 +6440,10 @@ const VSOP87Coefficient g_VSOP87A_Z3_MERCURY[] = { 0.00000000000, 4.29763167864, 4551.95349705880 }, { 0.00000000000, 1.62427828402, 21535.94964451540 }, { 0.00000000000, 2.55626351718, 46514.47423399620 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_MERCURY[] = -{ +constexpr array g_VSOP87A_Z4_MERCURY +{ { { 0.00000000587, 4.86442699315, 26087.90314157420 }, { 0.00000000283, 3.14159265359, 0.00000000000 }, { 0.00000000055, 3.04082107246, 52175.80628314840 }, @@ -6448,10 +6454,10 @@ const VSOP87Coefficient g_VSOP87A_Z4_MERCURY[] = { 0.00000000002, 1.25002341217, 182615.32199101939 }, { 0.00000000001, 4.38192942162, 208703.22513259359 }, { 0.00000000000, 1.16515085289, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_MERCURY[] = -{ +constexpr array g_VSOP87A_Z5_MERCURY +{ { { 0.00000000004, 0.00000000000, 0.00000000000 }, { 0.00000000002, 5.42849777894, 26087.90314157420 }, { 0.00000000002, 1.19011087498, 52175.80628314840 }, @@ -6459,68 +6465,67 @@ const VSOP87Coefficient g_VSOP87A_Z5_MERCURY[] = { 0.00000000000, 2.14343331955, 104351.61256629678 }, { 0.00000000000, 5.61950230485, 130439.51570787099 }, { 0.00000000000, 2.76880495732, 156527.41884944518 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_MERCURY[] = -{ - { g_VSOP87A_X0_MERCURY, sizeof(g_VSOP87A_X0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_MERCURY, sizeof(g_VSOP87A_X1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_MERCURY, sizeof(g_VSOP87A_X2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_MERCURY, sizeof(g_VSOP87A_X3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_MERCURY, sizeof(g_VSOP87A_X4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_MERCURY, sizeof(g_VSOP87A_X5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_MERCURY +{ { + { g_VSOP87A_X0_MERCURY.data(), g_VSOP87A_X0_MERCURY.size() }, + { g_VSOP87A_X1_MERCURY.data(), g_VSOP87A_X1_MERCURY.size() }, + { g_VSOP87A_X2_MERCURY.data(), g_VSOP87A_X2_MERCURY.size() }, + { g_VSOP87A_X3_MERCURY.data(), g_VSOP87A_X3_MERCURY.size() }, + { g_VSOP87A_X4_MERCURY.data(), g_VSOP87A_X4_MERCURY.size() }, + { g_VSOP87A_X5_MERCURY.data(), g_VSOP87A_X5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_MERCURY[] = -{ - { g_VSOP87A_Y0_MERCURY, sizeof(g_VSOP87A_Y0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_MERCURY, sizeof(g_VSOP87A_Y1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_MERCURY, sizeof(g_VSOP87A_Y2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_MERCURY, sizeof(g_VSOP87A_Y3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_MERCURY, sizeof(g_VSOP87A_Y4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_MERCURY, sizeof(g_VSOP87A_Y5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_MERCURY +{ { + { g_VSOP87A_Y0_MERCURY.data(), g_VSOP87A_Y0_MERCURY.size() }, + { g_VSOP87A_Y1_MERCURY.data(), g_VSOP87A_Y1_MERCURY.size() }, + { g_VSOP87A_Y2_MERCURY.data(), g_VSOP87A_Y2_MERCURY.size() }, + { g_VSOP87A_Y3_MERCURY.data(), g_VSOP87A_Y3_MERCURY.size() }, + { g_VSOP87A_Y4_MERCURY.data(), g_VSOP87A_Y4_MERCURY.size() }, + { g_VSOP87A_Y5_MERCURY.data(), g_VSOP87A_Y5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_MERCURY[] = -{ - { g_VSOP87A_Z0_MERCURY, sizeof(g_VSOP87A_Z0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_MERCURY, sizeof(g_VSOP87A_Z1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_MERCURY, sizeof(g_VSOP87A_Z2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_MERCURY, sizeof(g_VSOP87A_Z3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_MERCURY, sizeof(g_VSOP87A_Z4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_MERCURY, sizeof(g_VSOP87A_Z5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_MERCURY +{ { + { g_VSOP87A_Z0_MERCURY.data(), g_VSOP87A_Z0_MERCURY.size() }, + { g_VSOP87A_Z1_MERCURY.data(), g_VSOP87A_Z1_MERCURY.size() }, + { g_VSOP87A_Z2_MERCURY.data(), g_VSOP87A_Z2_MERCURY.size() }, + { g_VSOP87A_Z3_MERCURY.data(), g_VSOP87A_Z3_MERCURY.size() }, + { g_VSOP87A_Z4_MERCURY.data(), g_VSOP87A_Z4_MERCURY.size() }, + { g_VSOP87A_Z5_MERCURY.data(), g_VSOP87A_Z5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Mercury::X(double JD) +double CAAVSOP87A_Mercury::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_MERCURY, sizeof(g_VSOP87A_X_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_MERCURY.data(), g_VSOP87A_X_MERCURY.size(), false); } -double CAAVSOP87A_Mercury::X_DASH(double JD) +double CAAVSOP87A_Mercury::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_MERCURY, sizeof(g_VSOP87A_X_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_MERCURY.data(), g_VSOP87A_X_MERCURY.size()); } -double CAAVSOP87A_Mercury::Y(double JD) +double CAAVSOP87A_Mercury::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_MERCURY, sizeof(g_VSOP87A_Y_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_MERCURY.data(), g_VSOP87A_Y_MERCURY.size(), false); } -double CAAVSOP87A_Mercury::Y_DASH(double JD) +double CAAVSOP87A_Mercury::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_MERCURY, sizeof(g_VSOP87A_Y_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_MERCURY.data(), g_VSOP87A_Y_MERCURY.size()); } -double CAAVSOP87A_Mercury::Z(double JD) +double CAAVSOP87A_Mercury::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_MERCURY, sizeof(g_VSOP87A_Z_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_MERCURY.data(), g_VSOP87A_Z_MERCURY.size(), false); } -double CAAVSOP87A_Mercury::Z_DASH(double JD) +double CAAVSOP87A_Mercury::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_MERCURY, sizeof(g_VSOP87A_Z_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_MERCURY.data(), g_VSOP87A_Z_MERCURY.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_VEN.cpp b/Sources/AAPlus/AAVSOP87A_VEN.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87A_VEN.cpp rename to Sources/AAPlus/AAVSOP87A_VEN.cpp index afcc24e..9ddc71c --- a/Vendor/AA+/1.6.3/AAVSOP87A_VEN.cpp +++ b/Sources/AAPlus/AAVSOP87A_VEN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_VENUS +{ { { 0.72211281391, 3.17575836361, 10213.28554621100 }, { 0.00486448018, 0.00000000000, 0.00000000000 }, { 0.00244500474, 4.05566613861, 20426.57109242200 }, @@ -580,10 +586,10 @@ const VSOP87Coefficient g_VSOP87A_X0_VENUS[] = { 0.00000000031, 0.95396015997, 27682.14074415640 }, { 0.00000000037, 2.63889593800, 13859.63592356540 }, { 0.00000000028, 1.92419873752, 7886.71771223900 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_VENUS[] = -{ +constexpr array g_VSOP87A_X1_VENUS +{ { { 0.00033862636, 3.14159265359, 0.00000000000 }, { 0.00017234992, 0.92721124604, 20426.57109242200 }, { 0.00006510416, 2.19289889733, 10213.28554621100 }, @@ -922,10 +928,10 @@ const VSOP87Coefficient g_VSOP87A_X1_VENUS[] = { 0.00000000015, 6.22361957178, 21485.95302261119 }, { 0.00000000013, 6.14132798035, 52670.06959330260 }, { 0.00000000015, 3.18753797236, 27991.40181316000 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_VENUS[] = -{ +constexpr array g_VSOP87A_X2_VENUS +{ { { 0.00000704794, 5.09874399916, 20426.57109242200 }, { 0.00000624477, 3.86836776757, 10213.28554621100 }, { 0.00000649010, 3.14159265359, 0.00000000000 }, @@ -1025,34 +1031,34 @@ const VSOP87Coefficient g_VSOP87A_X2_VENUS[] = { 0.00000000007, 6.01401596195, 29999.95935231900 }, { 0.00000000007, 5.94489646128, 9573.38825989700 }, { 0.00000000007, 3.40501345577, 30110.16567353840 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_VENUS[] = -{ +constexpr array g_VSOP87A_X3_VENUS +{ { { 0.00000073606, 0.00000000000, 0.00000000000 }, { 0.00000019386, 5.23038243202, 10213.28554621100 }, { 0.00000024718, 3.25340548805, 20426.57109242200 }, { 0.00000000623, 3.24709806895, 30639.85663863300 }, { 0.00000000009, 3.72367923110, 40853.14218484400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_VENUS[] = -{ +constexpr array g_VSOP87A_X4_VENUS +{ { { 0.00000000946, 0.39076344760, 10213.28554621100 }, { 0.00000000546, 3.14159265359, 0.00000000000 }, { 0.00000000289, 0.95993858755, 20426.57109242200 }, { 0.00000000030, 0.98741714872, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_VENUS[] = -{ +constexpr array g_VSOP87A_X5_VENUS +{ { { 0.00000000063, 3.14159265359, 0.00000000000 }, { 0.00000000029, 1.94730457757, 10213.28554621100 }, { 0.00000000022, 0.34341584207, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_VENUS[] = -{ +constexpr array g_VSOP87A_Y0_VENUS +{ { { 0.72324820731, 1.60573808356, 10213.28554621100 }, { 0.00549506273, 3.14159265359, 0.00000000000 }, { 0.00244884790, 2.48564954004, 20426.57109242200 }, @@ -1618,10 +1624,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_VENUS[] = { 0.00000000037, 2.06942308542, 37703.97802425580 }, { 0.00000000031, 1.84196344987, 25960.42265088920 }, { 0.00000000028, 3.49625376754, 7886.71771223900 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_VENUS[] = -{ +constexpr array g_VSOP87A_Y1_VENUS +{ { { 0.00039231430, 0.00000000000, 0.00000000000 }, { 0.00017282326, 5.63824735900, 20426.57109242200 }, { 0.00005968075, 3.60854944086, 10213.28554621100 }, @@ -1947,10 +1953,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_VENUS[] = { 0.00000000015, 4.65282324499, 21485.95302261119 }, { 0.00000000013, 4.57052023792, 52670.06959330260 }, { 0.00000000013, 4.57568246165, 32243.49850088060 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_VENUS[] = -{ +constexpr array g_VSOP87A_Y2_VENUS +{ { { 0.00002007155, 3.14159265359, 0.00000000000 }, { 0.00000702052, 3.52724964753, 20426.57109242200 }, { 0.00000265709, 4.68091836985, 10213.28554621100 }, @@ -2050,34 +2056,34 @@ const VSOP87Coefficient g_VSOP87A_Y2_VENUS[] = { 0.00000000007, 1.23251889653, 9573.38825989700 }, { 0.00000000007, 4.44320821952, 29999.95935231900 }, { 0.00000000007, 1.83420571334, 30110.16567353840 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_VENUS[] = -{ +constexpr array g_VSOP87A_Y3_VENUS +{ { { 0.00000022966, 0.38709241285, 10213.28554621100 }, { 0.00000024860, 1.68572825734, 20426.57109242200 }, { 0.00000003743, 3.14159265359, 0.00000000000 }, { 0.00000000623, 1.67630174215, 30639.85663863300 }, { 0.00000000009, 2.15288290431, 40853.14218484400 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_VENUS[] = -{ +constexpr array g_VSOP87A_Y4_VENUS +{ { { 0.00000000801, 2.03074942043, 10213.28554621100 }, { 0.00000000690, 0.00000000000, 0.00000000000 }, { 0.00000000286, 5.64884337944, 20426.57109242200 }, { 0.00000000030, 5.69980612910, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_VENUS[] = -{ +constexpr array g_VSOP87A_Y5_VENUS +{ { { 0.00000000029, 3.51424873779, 10213.28554621100 }, { 0.00000000022, 5.05580482246, 20426.57109242200 }, { 0.00000000018, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_VENUS[] = -{ +constexpr array g_VSOP87A_Z0_VENUS +{ { { 0.04282990302, 0.26703856476, 10213.28554621100 }, { 0.00035588343, 3.14159265359, 0.00000000000 }, { 0.00014501879, 1.14696911390, 20426.57109242200 }, @@ -2268,10 +2274,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_VENUS[] = { 0.00000000071, 2.36609582367, 74.78159856730 }, { 0.00000000062, 2.46239069210, 10846.06928552420 }, { 0.00000000061, 3.77333230443, 51868.24866217880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_VENUS[] = -{ +constexpr array g_VSOP87A_Z1_VENUS +{ { { 0.00208096402, 1.88967278742, 10213.28554621100 }, { 0.00001264989, 3.71037501321, 20426.57109242200 }, { 0.00001364144, 0.00000000000, 0.00000000000 }, @@ -2380,10 +2386,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_VENUS[] = { 0.00000000031, 1.27304383227, 33019.02111220460 }, { 0.00000000036, 3.22618486892, 49515.38250840700 }, { 0.00000000028, 3.70748385631, 4732.03062734340 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_VENUS[] = -{ +constexpr array g_VSOP87A_Z2_VENUS +{ { { 0.00009148044, 3.34791005272, 10213.28554621100 }, { 0.00000163977, 0.00000000000, 0.00000000000 }, { 0.00000013554, 5.33914310904, 20426.57109242200 }, @@ -2429,10 +2435,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_VENUS[] = { 0.00000000015, 6.18636933791, 191.44826611160 }, { 0.00000000016, 3.94104051711, 10742.97651130560 }, { 0.00000000017, 2.69405014279, 3128.38876509580 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_VENUS[] = -{ +constexpr array g_VSOP87A_Z3_VENUS +{ { { 0.00000272005, 4.87648116140, 10213.28554621100 }, { 0.00000013656, 3.14159265359, 0.00000000000 }, { 0.00000001743, 0.42985032723, 20426.57109242200 }, @@ -2443,82 +2449,81 @@ const VSOP87Coefficient g_VSOP87A_Z3_VENUS[] = { 0.00000000008, 4.60069153442, 11790.62908865880 }, { 0.00000000010, 1.90027732701, 2352.86615377180 }, { 0.00000000009, 0.86239699726, 10988.80815753500 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_VENUS[] = -{ +constexpr array g_VSOP87A_Z4_VENUS +{ { { 0.00000006175, 0.17121460361, 10213.28554621100 }, { 0.00000000125, 3.14159265359, 0.00000000000 }, { 0.00000000041, 2.50364136928, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_VENUS[] = -{ +constexpr array g_VSOP87A_Z5_VENUS +{ { { 0.00000000108, 1.67439739641, 10213.28554621100 }, { 0.00000000025, 0.00000000000, 0.00000000000 }, { 0.00000000003, 3.66751123903, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_VENUS[] = -{ - { g_VSOP87A_X0_VENUS, sizeof(g_VSOP87A_X0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_VENUS, sizeof(g_VSOP87A_X1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_VENUS, sizeof(g_VSOP87A_X2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_VENUS, sizeof(g_VSOP87A_X3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_VENUS, sizeof(g_VSOP87A_X4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_VENUS, sizeof(g_VSOP87A_X5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_VENUS +{ { + { g_VSOP87A_X0_VENUS.data(), g_VSOP87A_X0_VENUS.size() }, + { g_VSOP87A_X1_VENUS.data(), g_VSOP87A_X1_VENUS.size() }, + { g_VSOP87A_X2_VENUS.data(), g_VSOP87A_X2_VENUS.size() }, + { g_VSOP87A_X3_VENUS.data(), g_VSOP87A_X3_VENUS.size() }, + { g_VSOP87A_X4_VENUS.data(), g_VSOP87A_X4_VENUS.size() }, + { g_VSOP87A_X5_VENUS.data(), g_VSOP87A_X5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_VENUS[] = -{ - { g_VSOP87A_Y0_VENUS, sizeof(g_VSOP87A_Y0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_VENUS, sizeof(g_VSOP87A_Y1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_VENUS, sizeof(g_VSOP87A_Y2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_VENUS, sizeof(g_VSOP87A_Y3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_VENUS, sizeof(g_VSOP87A_Y4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_VENUS, sizeof(g_VSOP87A_Y5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_VENUS +{ { + { g_VSOP87A_Y0_VENUS.data(), g_VSOP87A_Y0_VENUS.size() }, + { g_VSOP87A_Y1_VENUS.data(), g_VSOP87A_Y1_VENUS.size() }, + { g_VSOP87A_Y2_VENUS.data(), g_VSOP87A_Y2_VENUS.size() }, + { g_VSOP87A_Y3_VENUS.data(), g_VSOP87A_Y3_VENUS.size() }, + { g_VSOP87A_Y4_VENUS.data(), g_VSOP87A_Y4_VENUS.size() }, + { g_VSOP87A_Y5_VENUS.data(), g_VSOP87A_Y5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_VENUS[] = -{ - { g_VSOP87A_Z0_VENUS, sizeof(g_VSOP87A_Z0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_VENUS, sizeof(g_VSOP87A_Z1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_VENUS, sizeof(g_VSOP87A_Z2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_VENUS, sizeof(g_VSOP87A_Z3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_VENUS, sizeof(g_VSOP87A_Z4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_VENUS, sizeof(g_VSOP87A_Z5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_VENUS +{ { + { g_VSOP87A_Z0_VENUS.data(), g_VSOP87A_Z0_VENUS.size() }, + { g_VSOP87A_Z1_VENUS.data(), g_VSOP87A_Z1_VENUS.size() }, + { g_VSOP87A_Z2_VENUS.data(), g_VSOP87A_Z2_VENUS.size() }, + { g_VSOP87A_Z3_VENUS.data(), g_VSOP87A_Z3_VENUS.size() }, + { g_VSOP87A_Z4_VENUS.data(), g_VSOP87A_Z4_VENUS.size() }, + { g_VSOP87A_Z5_VENUS.data(), g_VSOP87A_Z5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Venus::X(double JD) +double CAAVSOP87A_Venus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_VENUS, sizeof(g_VSOP87A_X_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_VENUS.data(), g_VSOP87A_X_VENUS.size(), false); } -double CAAVSOP87A_Venus::X_DASH(double JD) +double CAAVSOP87A_Venus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_VENUS, sizeof(g_VSOP87A_X_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_VENUS.data(), g_VSOP87A_X_VENUS.size()); } -double CAAVSOP87A_Venus::Y(double JD) +double CAAVSOP87A_Venus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_VENUS, sizeof(g_VSOP87A_Y_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_VENUS.data(), g_VSOP87A_Y_VENUS.size(), false); } -double CAAVSOP87A_Venus::Y_DASH(double JD) +double CAAVSOP87A_Venus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_VENUS, sizeof(g_VSOP87A_Y_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_VENUS.data(), g_VSOP87A_Y_VENUS.size()); } -double CAAVSOP87A_Venus::Z(double JD) +double CAAVSOP87A_Venus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_VENUS, sizeof(g_VSOP87A_Z_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_VENUS.data(), g_VSOP87A_Z_VENUS.size(), false); } -double CAAVSOP87A_Venus::Z_DASH(double JD) +double CAAVSOP87A_Venus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_VENUS, sizeof(g_VSOP87A_Z_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_VENUS.data(), g_VSOP87A_Z_VENUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_JUP.cpp b/Sources/AAPlus/AAVSOP87B_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87B_JUP.cpp rename to Sources/AAPlus/AAVSOP87B_JUP.cpp index 53a2c96..ad7b2c4 --- a/Vendor/AA+/1.6.3/AAVSOP87B_JUP.cpp +++ b/Sources/AAPlus/AAVSOP87B_JUP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_JUPITER +{ { { 0.59954691494, 0.00000000000, 0.00000000000 }, { 0.09695898719, 5.06191793158, 529.69096509460 }, { 0.00573610142, 1.44406205629, 7.11354700080 }, @@ -892,10 +898,10 @@ const VSOP87Coefficient g_VSOP87B_L0_JUPITER[] = { 0.00000000098, 3.93222636960, 2124.98363550190 }, { 0.00000000072, 3.82048491843, 4539.69249641180 }, { 0.00000000081, 5.76205552882, 617.80588578620 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_JUPITER[] = -{ +constexpr array g_VSOP87B_L1_JUPITER +{ { { 529.69096508814, 0.00000000000, 0.00000000000 }, { 0.00489503243, 4.22082939470, 529.69096509460 }, { 0.00228917222, 6.02646855621, 7.11354700080 }, @@ -1322,10 +1328,10 @@ const VSOP87Coefficient g_VSOP87B_L1_JUPITER[] = { 0.00000000080, 0.05190580386, 1080.72257119160 }, { 0.00000000080, 5.35119272632, 2.44768055480 }, { 0.00000000085, 5.88100684593, 234.63973644040 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_JUPITER[] = -{ +constexpr array g_VSOP87B_L2_JUPITER +{ { { 0.00047233601, 4.32148536482, 7.11354700080 }, { 0.00030649436, 2.92977788700, 529.69096509460 }, { 0.00014837605, 3.14159265359, 0.00000000000 }, @@ -1551,10 +1557,10 @@ const VSOP87Coefficient g_VSOP87B_L2_JUPITER[] = { 0.00000000073, 3.52191166845, 2964.84669512960 }, { 0.00000000092, 0.43014320279, 3914.02230409940 }, { 0.00000000083, 0.25202430423, 2644.52267220990 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_JUPITER[] = -{ +constexpr array g_VSOP87B_L3_JUPITER +{ { { 0.00006501673, 2.59862923650, 7.11354700080 }, { 0.00001355012, 1.34692775915, 529.69096509460 }, { 0.00000470691, 2.47502798748, 14.22709400160 }, @@ -1675,10 +1681,10 @@ const VSOP87Coefficient g_VSOP87B_L3_JUPITER[] = { 0.00000000080, 2.06822079440, 3060.82592234740 }, { 0.00000000083, 2.43109843716, 2428.04218303420 }, { 0.00000000079, 3.80336766578, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_JUPITER[] = -{ +constexpr array g_VSOP87B_L4_JUPITER +{ { { 0.00000669505, 0.85280378158, 7.11354700080 }, { 0.00000099965, 0.74243651986, 14.22709400160 }, { 0.00000050030, 1.65383477095, 536.80451209540 }, @@ -1727,10 +1733,10 @@ const VSOP87Coefficient g_VSOP87B_L4_JUPITER[] = { 0.00000000131, 0.52395207361, 551.03160609700 }, { 0.00000000099, 3.45749497992, 647.01083331480 }, { 0.00000000077, 3.29690316802, 1368.66025284500 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_JUPITER[] = -{ +constexpr array g_VSOP87B_L5_JUPITER +{ { { 0.00000049639, 5.25769924770, 7.11354700080 }, { 0.00000015775, 5.24859620238, 14.22709400160 }, { 0.00000004326, 0.02660738929, 536.80451209540 }, @@ -1742,10 +1748,10 @@ const VSOP87Coefficient g_VSOP87B_L5_JUPITER[] = { 0.00000000198, 0.04372566049, 1589.07289528380 }, { 0.00000000107, 0.09298499958, 1073.60902419080 }, { 0.00000000079, 6.16619004945, 529.69096509460 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_JUPITER[] = -{ +constexpr array g_VSOP87B_B0_JUPITER +{ { { 0.02268615702, 3.55852606721, 529.69096509460 }, { 0.00109971634, 3.90809347197, 1059.38193018920 }, { 0.00110090358, 0.00000000000, 0.00000000000 }, @@ -1995,10 +2001,10 @@ const VSOP87Coefficient g_VSOP87B_B0_JUPITER[] = { 0.00000000080, 0.38766601962, 4694.00295470760 }, { 0.00000000074, 3.86945907800, 3067.93946934820 }, { 0.00000000095, 1.66457947000, 1151.42900414390 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_JUPITER[] = -{ +constexpr array g_VSOP87B_B1_JUPITER +{ { { 0.00078203446, 1.52377859742, 529.69096509460 }, { 0.00007789905, 2.59734071843, 1059.38193018920 }, { 0.00002788602, 4.85622679819, 536.80451209540 }, @@ -2119,10 +2125,10 @@ const VSOP87Coefficient g_VSOP87B_B1_JUPITER[] = { 0.00000000103, 2.60543230206, 2538.24850425360 }, { 0.00000000076, 6.05570454898, 984.60033162190 }, { 0.00000000087, 4.53831014475, 1148.24761040620 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_JUPITER[] = -{ +constexpr array g_VSOP87B_B2_JUPITER +{ { { 0.00005498320, 3.01596270062, 529.69096509460 }, { 0.00000602076, 3.13358939436, 536.80451209540 }, { 0.00000502174, 2.05202111599, 1059.38193018920 }, @@ -2205,10 +2211,10 @@ const VSOP87Coefficient g_VSOP87B_B2_JUPITER[] = { 0.00000000077, 1.76503406298, 1795.25844372100 }, { 0.00000000076, 1.81177242528, 2221.85663459700 }, { 0.00000000077, 3.87925580596, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_JUPITER[] = -{ +constexpr array g_VSOP87B_B3_JUPITER +{ { { 0.00000185332, 4.79276761490, 529.69096509460 }, { 0.00000085668, 1.40023038638, 536.80451209540 }, { 0.00000056359, 2.81574766965, 522.57741809380 }, @@ -2242,10 +2248,10 @@ const VSOP87Coefficient g_VSOP87B_B3_JUPITER[] = { 0.00000000100, 1.72309553591, 949.17560896980 }, { 0.00000000094, 2.26854098455, 1155.36115740700 }, { 0.00000000082, 5.02874146441, 956.28915597060 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_JUPITER[] = -{ +constexpr array g_VSOP87B_B4_JUPITER +{ { { 0.00000008963, 5.93887232380, 536.80451209540 }, { 0.00000005280, 4.80778878768, 522.57741809380 }, { 0.00000001161, 0.46295890438, 1066.49547719000 }, @@ -2259,17 +2265,17 @@ const VSOP87Coefficient g_VSOP87B_B4_JUPITER[] = { 0.00000000135, 1.57382028639, 14.22709400160 }, { 0.00000000096, 1.04662476547, 1596.18644228460 }, { 0.00000000077, 3.58780641570, 1045.15483618760 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_JUPITER[] = -{ +constexpr array g_VSOP87B_B5_JUPITER +{ { { 0.00000000662, 4.10413626462, 536.80451209540 }, { 0.00000000431, 0.82614663721, 522.57741809380 }, { 0.00000000208, 0.05498457769, 515.46387109300 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_JUPITER[] = -{ +constexpr array g_VSOP87B_R0_JUPITER +{ { { 5.20887429326, 0.00000000000, 0.00000000000 }, { 0.25209327119, 3.49108639871, 529.69096509460 }, { 0.00610599976, 3.84115365948, 1059.38193018920 }, @@ -2997,10 +3003,10 @@ const VSOP87Coefficient g_VSOP87B_R0_JUPITER[] = { 0.00000000371, 6.15750793727, 509.24409596950 }, { 0.00000000476, 4.40755251309, 2200.51599359460 }, { 0.00000000511, 5.53118344106, 1128.53445446400 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_JUPITER[] = -{ +constexpr array g_VSOP87B_R1_JUPITER +{ { { 0.01271801520, 2.64937512894, 529.69096509460 }, { 0.00061661816, 3.00076460387, 1059.38193018920 }, { 0.00053443713, 3.89717383175, 522.57741809380 }, @@ -3372,10 +3378,10 @@ const VSOP87Coefficient g_VSOP87B_R1_JUPITER[] = { 0.00000000387, 0.82173742289, 2758.66114669240 }, { 0.00000000398, 3.16033099794, 1.48447270830 }, { 0.00000000392, 1.86519119748, 885.43971066640 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_JUPITER[] = -{ +constexpr array g_VSOP87B_R2_JUPITER +{ { { 0.00079644957, 1.35865949884, 529.69096509460 }, { 0.00008251645, 5.77774460400, 522.57741809380 }, { 0.00007029940, 3.27477392111, 536.80451209540 }, @@ -3562,10 +3568,10 @@ const VSOP87Coefficient g_VSOP87B_R2_JUPITER[] = { 0.00000000482, 0.38718011166, 2428.04218303420 }, { 0.00000000434, 5.36713537673, 2531.13495725280 }, { 0.00000000370, 6.04174787347, 1670.82502850000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_JUPITER[] = -{ +constexpr array g_VSOP87B_R3_JUPITER +{ { { 0.00003519277, 6.05800355513, 529.69096509460 }, { 0.00001073281, 1.67319166156, 536.80451209540 }, { 0.00000915630, 1.41326157617, 522.57741809380 }, @@ -3663,10 +3669,10 @@ const VSOP87Coefficient g_VSOP87B_R3_JUPITER[] = { 0.00000000416, 6.19072120624, 934.94851496820 }, { 0.00000000433, 5.80559659477, 1478.86657406440 }, { 0.00000000395, 2.34556406839, 295.05122865420 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_JUPITER[] = -{ +constexpr array g_VSOP87B_R4_JUPITER +{ { { 0.00000128623, 0.08347608895, 536.80451209540 }, { 0.00000113458, 4.24818938180, 529.69096509460 }, { 0.00000082704, 3.29801136583, 522.57741809380 }, @@ -3712,10 +3718,10 @@ const VSOP87Coefficient g_VSOP87B_R4_JUPITER[] = { 0.00000000631, 1.83863158533, 10.29494073850 }, { 0.00000000504, 2.08322743695, 103.09277421860 }, { 0.00000000462, 0.40130574859, 433.71173787680 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_JUPITER[] = -{ +constexpr array g_VSOP87B_R5_JUPITER +{ { { 0.00000011193, 4.74280611863, 536.80451209540 }, { 0.00000004288, 5.90497787277, 522.57741809380 }, { 0.00000002004, 3.65178377123, 7.11354700080 }, @@ -3725,68 +3731,67 @@ const VSOP87Coefficient g_VSOP87B_R5_JUPITER[] = { 0.00000001596, 4.11045079899, 1059.38193018920 }, { 0.00000001301, 3.72955393027, 14.22709400160 }, { 0.00000001033, 4.50671820436, 529.69096509460 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_JUPITER[] = -{ - { g_VSOP87B_L0_JUPITER, sizeof(g_VSOP87B_L0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_JUPITER, sizeof(g_VSOP87B_L1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_JUPITER, sizeof(g_VSOP87B_L2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_JUPITER, sizeof(g_VSOP87B_L3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_JUPITER, sizeof(g_VSOP87B_L4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_JUPITER, sizeof(g_VSOP87B_L5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_JUPITER +{ { + { g_VSOP87B_L0_JUPITER.data(), g_VSOP87B_L0_JUPITER.size() }, + { g_VSOP87B_L1_JUPITER.data(), g_VSOP87B_L1_JUPITER.size() }, + { g_VSOP87B_L2_JUPITER.data(), g_VSOP87B_L2_JUPITER.size() }, + { g_VSOP87B_L3_JUPITER.data(), g_VSOP87B_L3_JUPITER.size() }, + { g_VSOP87B_L4_JUPITER.data(), g_VSOP87B_L4_JUPITER.size() }, + { g_VSOP87B_L5_JUPITER.data(), g_VSOP87B_L5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_JUPITER[] = -{ - { g_VSOP87B_B0_JUPITER, sizeof(g_VSOP87B_B0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_JUPITER, sizeof(g_VSOP87B_B1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_JUPITER, sizeof(g_VSOP87B_B2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_JUPITER, sizeof(g_VSOP87B_B3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_JUPITER, sizeof(g_VSOP87B_B4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_JUPITER, sizeof(g_VSOP87B_B5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_JUPITER +{ { + { g_VSOP87B_B0_JUPITER.data(), g_VSOP87B_B0_JUPITER.size() }, + { g_VSOP87B_B1_JUPITER.data(), g_VSOP87B_B1_JUPITER.size() }, + { g_VSOP87B_B2_JUPITER.data(), g_VSOP87B_B2_JUPITER.size() }, + { g_VSOP87B_B3_JUPITER.data(), g_VSOP87B_B3_JUPITER.size() }, + { g_VSOP87B_B4_JUPITER.data(), g_VSOP87B_B4_JUPITER.size() }, + { g_VSOP87B_B5_JUPITER.data(), g_VSOP87B_B5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_JUPITER[] = -{ - { g_VSOP87B_R0_JUPITER, sizeof(g_VSOP87B_R0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_JUPITER, sizeof(g_VSOP87B_R1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_JUPITER, sizeof(g_VSOP87B_R2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_JUPITER, sizeof(g_VSOP87B_R3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_JUPITER, sizeof(g_VSOP87B_R4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_JUPITER, sizeof(g_VSOP87B_R5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_JUPITER +{ { + { g_VSOP87B_R0_JUPITER.data(), g_VSOP87B_R0_JUPITER.size() }, + { g_VSOP87B_R1_JUPITER.data(), g_VSOP87B_R1_JUPITER.size() }, + { g_VSOP87B_R2_JUPITER.data(), g_VSOP87B_R2_JUPITER.size() }, + { g_VSOP87B_R3_JUPITER.data(), g_VSOP87B_R3_JUPITER.size() }, + { g_VSOP87B_R4_JUPITER.data(), g_VSOP87B_R4_JUPITER.size() }, + { g_VSOP87B_R5_JUPITER.data(), g_VSOP87B_R5_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Jupiter::L(double JD) +double CAAVSOP87B_Jupiter::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_JUPITER, sizeof(g_VSOP87B_L_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_JUPITER.data(), g_VSOP87B_L_JUPITER.size(), true); } -double CAAVSOP87B_Jupiter::L_DASH(double JD) +double CAAVSOP87B_Jupiter::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_JUPITER, sizeof(g_VSOP87B_L_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_JUPITER.data(), g_VSOP87B_L_JUPITER.size()); } -double CAAVSOP87B_Jupiter::B(double JD) +double CAAVSOP87B_Jupiter::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_JUPITER, sizeof(g_VSOP87B_B_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_JUPITER.data(), g_VSOP87B_B_JUPITER.size(), true); } -double CAAVSOP87B_Jupiter::B_DASH(double JD) +double CAAVSOP87B_Jupiter::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_JUPITER, sizeof(g_VSOP87B_B_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_JUPITER.data(), g_VSOP87B_B_JUPITER.size()); } -double CAAVSOP87B_Jupiter::R(double JD) +double CAAVSOP87B_Jupiter::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_JUPITER, sizeof(g_VSOP87B_R_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_JUPITER.data(), g_VSOP87B_R_JUPITER.size(), false); } -double CAAVSOP87B_Jupiter::R_DASH(double JD) +double CAAVSOP87B_Jupiter::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_JUPITER, sizeof(g_VSOP87B_R_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_JUPITER.data(), g_VSOP87B_R_JUPITER.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_MAR.cpp b/Sources/AAPlus/AAVSOP87B_MAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87B_MAR.cpp rename to Sources/AAPlus/AAVSOP87B_MAR.cpp index 074e960..7b6e43b --- a/Vendor/AA+/1.6.3/AAVSOP87B_MAR.cpp +++ b/Sources/AAPlus/AAVSOP87B_MAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_MARS +{ { { 6.20347711581, 0.00000000000, 0.00000000000 }, { 0.18656368093, 5.05037100270, 3340.61242669980 }, { 0.01108216816, 5.40099836344, 6681.22485339960 }, @@ -1441,10 +1447,10 @@ const VSOP87Coefficient g_VSOP87B_L0_MARS[] = { 0.00000000039, 5.88001746710, 4709.27267954480 }, { 0.00000000040, 4.23855320433, 3339.43178404770 }, { 0.00000000042, 3.73781410726, 7593.79509706520 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_MARS[] = -{ +constexpr array g_VSOP87B_L1_MARS +{ { { 3340.61242700512, 0.00000000000, 0.00000000000 }, { 0.01457554523, 3.60433733236, 3340.61242669980 }, { 0.00168414711, 3.92318567804, 6681.22485339960 }, @@ -2336,10 +2342,10 @@ const VSOP87Coefficient g_VSOP87B_L1_MARS[] = { 0.00000000018, 5.00983720257, 1655.56030419820 }, { 0.00000000018, 0.78739197008, 19676.45023123640 }, { 0.00000000018, 0.05420901908, 2142.64229812620 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_MARS[] = -{ +constexpr array g_VSOP87B_L2_MARS +{ { { 0.00058152577, 2.04961712429, 3340.61242669980 }, { 0.00013459579, 2.45738706163, 6681.22485339960 }, { 0.00002432575, 2.79737979284, 10021.83728009940 }, @@ -2782,10 +2788,10 @@ const VSOP87Coefficient g_VSOP87B_L2_MARS[] = { 0.00000000010, 4.88835260040, 10042.19259949820 }, { 0.00000000010, 2.48515633128, 25665.51748340920 }, { 0.00000000009, 1.77145376267, 32367.09765620760 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_MARS[] = -{ +constexpr array g_VSOP87B_L3_MARS +{ { { 0.00001467867, 0.44429839460, 3340.61242669980 }, { 0.00000692668, 0.88679887123, 6681.22485339960 }, { 0.00000189478, 1.28336839921, 10021.83728009940 }, @@ -2980,10 +2986,10 @@ const VSOP87Coefficient g_VSOP87B_L3_MARS[] = { 0.00000000005, 4.15921606694, 0.01725365220 }, { 0.00000000005, 1.88015249528, 15508.61512327440 }, { 0.00000000005, 4.69029931558, 2700.71514038580 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_MARS[] = -{ +constexpr array g_VSOP87B_L4_MARS +{ { { 0.00000027242, 5.63997742320, 6681.22485339960 }, { 0.00000025511, 5.13956279086, 3340.61242669980 }, { 0.00000011147, 6.03556608878, 10021.83728009940 }, @@ -3059,10 +3065,10 @@ const VSOP87Coefficient g_VSOP87B_L4_MARS[] = { 0.00000000002, 1.90275008409, 30065.51184029820 }, { 0.00000000003, 3.36064341832, 5621.84292321040 }, { 0.00000000002, 0.01141937510, 10551.52824519400 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_MARS[] = -{ +constexpr array g_VSOP87B_L5_MARS +{ { { 0.00000000762, 4.03556368806, 6681.22485339960 }, { 0.00000000511, 4.48770393640, 10021.83728009940 }, { 0.00000000360, 5.07296615717, 155.42039943420 }, @@ -3087,10 +3093,10 @@ const VSOP87Coefficient g_VSOP87B_L5_MARS[] = { 0.00000000002, 0.00000000000, 0.00000000000 }, { 0.00000000002, 0.06588431932, 26724.89941359840 }, { 0.00000000001, 3.33966357719, 6127.65545055720 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_MARS[] = -{ +constexpr array g_VSOP87B_B0_MARS +{ { { 0.03197134986, 3.76832042431, 3340.61242669980 }, { 0.00298033234, 4.10616996305, 6681.22485339960 }, { 0.00289104742, 0.00000000000, 0.00000000000 }, @@ -3532,10 +3538,10 @@ const VSOP87Coefficient g_VSOP87B_B0_MARS[] = { 0.00000000049, 0.77149145450, 17101.21113690720 }, { 0.00000000038, 6.06656444914, 9389.05354078620 }, { 0.00000000036, 0.84094545235, 23937.85638974100 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_MARS[] = -{ +constexpr array g_VSOP87B_B1_MARS +{ { { 0.00217310991, 6.04472194776, 3340.61242669980 }, { 0.00020976948, 3.14159265359, 0.00000000000 }, { 0.00012834709, 1.60810667915, 6681.22485339960 }, @@ -3827,10 +3833,10 @@ const VSOP87Coefficient g_VSOP87B_B1_MARS[] = { 0.00000000026, 4.53241539149, 13362.51701710200 }, { 0.00000000019, 3.71366407424, 9588.12554222260 }, { 0.00000000022, 5.20856925736, 13892.14067189380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_MARS[] = -{ +constexpr array g_VSOP87B_B2_MARS +{ { { 0.00008888446, 1.06196052751, 3340.61242669980 }, { 0.00002595393, 3.14159265359, 0.00000000000 }, { 0.00000918914, 0.11538431190, 6681.22485339960 }, @@ -3992,10 +3998,10 @@ const VSOP87Coefficient g_VSOP87B_B2_MARS[] = { 0.00000000009, 2.65306894671, 10551.52824519400 }, { 0.00000000009, 1.95264065659, 9070.11887384880 }, { 0.00000000011, 0.42402934223, 9381.93999378540 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_MARS[] = -{ +constexpr array g_VSOP87B_B3_MARS +{ { { 0.00000330418, 2.04215300484, 3340.61242669980 }, { 0.00000093057, 0.00000000000, 0.00000000000 }, { 0.00000014546, 5.38525967237, 10021.83728009940 }, @@ -4060,10 +4066,10 @@ const VSOP87Coefficient g_VSOP87B_B3_MARS[] = { 0.00000000005, 1.86523815587, 1059.38193018920 }, { 0.00000000006, 5.52177150128, 7477.52286021600 }, { 0.00000000005, 1.92244747457, 2810.92146160520 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_MARS[] = -{ +constexpr array g_VSOP87B_B4_MARS +{ { { 0.00000006007, 3.37637101191, 3340.61242669980 }, { 0.00000006625, 0.00000000000, 0.00000000000 }, { 0.00000000464, 3.77202757150, 10021.83728009940 }, @@ -4082,10 +4088,10 @@ const VSOP87Coefficient g_VSOP87B_B4_MARS[] = { 0.00000000006, 1.15875671922, 3894.18182954220 }, { 0.00000000006, 5.76437007548, 23384.28698689860 }, { 0.00000000003, 2.91488661915, 6836.64525283380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_MARS[] = -{ +constexpr array g_VSOP87B_B5_MARS +{ { { 0.00000000368, 4.63460005338, 3340.61242669980 }, { 0.00000000045, 5.14206308865, 6681.22485339960 }, { 0.00000000035, 3.14159265359, 0.00000000000 }, @@ -4095,10 +4101,10 @@ const VSOP87Coefficient g_VSOP87B_B5_MARS[] = { 0.00000000005, 3.20415104620, 16703.06213349900 }, { 0.00000000004, 6.15670065734, 3185.19202726560 }, { 0.00000000001, 3.71915090755, 20043.67456019880 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_MARS[] = -{ +constexpr array g_VSOP87B_R0_MARS +{ { { 1.53033488271, 0.00000000000, 0.00000000000 }, { 0.14184953160, 3.47971283528, 3340.61242669980 }, { 0.00660776362, 3.81783443019, 6681.22485339960 }, @@ -5206,10 +5212,10 @@ const VSOP87Coefficient g_VSOP87B_R0_MARS[] = { 0.00000000054, 0.38782719267, 360.11078196160 }, { 0.00000000073, 3.41087754271, 14556.89671702380 }, { 0.00000000068, 5.74655335863, 987.74627292800 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_MARS[] = -{ +constexpr array g_VSOP87B_R1_MARS +{ { { 0.01107433345, 2.03250524857, 3340.61242669980 }, { 0.00103175887, 2.37071847807, 6681.22485339960 }, { 0.00012877200, 0.00000000000, 0.00000000000 }, @@ -5882,10 +5888,10 @@ const VSOP87Coefficient g_VSOP87B_R1_MARS[] = { 0.00000000027, 3.31433250805, 12942.96506292400 }, { 0.00000000029, 4.94569969969, 87.30820453981 }, { 0.00000000027, 1.32843166459, 7203.80227149340 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_MARS[] = -{ +constexpr array g_VSOP87B_R2_MARS +{ { { 0.00044242249, 0.47930604954, 3340.61242669980 }, { 0.00008138042, 0.86998389204, 6681.22485339960 }, { 0.00001274915, 1.22593985222, 10021.83728009940 }, @@ -6254,10 +6260,10 @@ const VSOP87Coefficient g_VSOP87B_R2_MARS[] = { 0.00000000014, 4.63902518517, 11527.12508919240 }, { 0.00000000019, 5.20657856071, 32920.66705904999 }, { 0.00000000018, 5.05191310629, 3603.69635007260 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_MARS[] = -{ +constexpr array g_VSOP87B_R3_MARS +{ { { 0.00001113108, 5.14987305093, 3340.61242669980 }, { 0.00000424447, 5.61343952053, 6681.22485339960 }, { 0.00000100044, 5.99727457548, 10021.83728009940 }, @@ -6418,10 +6424,10 @@ const VSOP87Coefficient g_VSOP87B_R3_MARS[] = { 0.00000000007, 0.11237624686, 3127.31333126180 }, { 0.00000000009, 4.92065236724, 11216.28429032400 }, { 0.00000000007, 3.67458682256, 3980.50971301380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_MARS[] = -{ +constexpr array g_VSOP87B_R4_MARS +{ { { 0.00000019551, 3.58210746512, 3340.61242669980 }, { 0.00000016322, 4.05115851142, 6681.22485339960 }, { 0.00000005848, 4.46381646580, 10021.83728009940 }, @@ -6479,10 +6485,10 @@ const VSOP87Coefficient g_VSOP87B_R4_MARS[] = { 0.00000000005, 2.80833888276, 3337.08930835080 }, { 0.00000000004, 2.92720462940, 7875.67186362420 }, { 0.00000000004, 4.02001405595, 3333.49887969900 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_MARS[] = -{ +constexpr array g_VSOP87B_R5_MARS +{ { { 0.00000000475, 2.47621038205, 6681.22485339960 }, { 0.00000000270, 2.90961348988, 10021.83728009940 }, { 0.00000000116, 1.76766655427, 3340.61242669980 }, @@ -6500,68 +6506,67 @@ const VSOP87Coefficient g_VSOP87B_R5_MARS[] = { 0.00000000004, 5.11981331029, 3097.88382272579 }, { 0.00000000004, 5.24603068590, 6923.95345737360 }, { 0.00000000002, 0.40954426011, 9866.41688066520 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_MARS[] = -{ - { g_VSOP87B_L0_MARS, sizeof(g_VSOP87B_L0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_MARS, sizeof(g_VSOP87B_L1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_MARS, sizeof(g_VSOP87B_L2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_MARS, sizeof(g_VSOP87B_L3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_MARS, sizeof(g_VSOP87B_L4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_MARS, sizeof(g_VSOP87B_L5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_MARS +{ { + { g_VSOP87B_L0_MARS.data(), g_VSOP87B_L0_MARS.size() }, + { g_VSOP87B_L1_MARS.data(), g_VSOP87B_L1_MARS.size() }, + { g_VSOP87B_L2_MARS.data(), g_VSOP87B_L2_MARS.size() }, + { g_VSOP87B_L3_MARS.data(), g_VSOP87B_L3_MARS.size() }, + { g_VSOP87B_L4_MARS.data(), g_VSOP87B_L4_MARS.size() }, + { g_VSOP87B_L5_MARS.data(), g_VSOP87B_L5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_MARS[] = -{ - { g_VSOP87B_B0_MARS, sizeof(g_VSOP87B_B0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_MARS, sizeof(g_VSOP87B_B1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_MARS, sizeof(g_VSOP87B_B2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_MARS, sizeof(g_VSOP87B_B3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_MARS, sizeof(g_VSOP87B_B4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_MARS, sizeof(g_VSOP87B_B5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_MARS +{ { + { g_VSOP87B_B0_MARS.data(), g_VSOP87B_B0_MARS.size() }, + { g_VSOP87B_B1_MARS.data(), g_VSOP87B_B1_MARS.size() }, + { g_VSOP87B_B2_MARS.data(), g_VSOP87B_B2_MARS.size() }, + { g_VSOP87B_B3_MARS.data(), g_VSOP87B_B3_MARS.size() }, + { g_VSOP87B_B4_MARS.data(), g_VSOP87B_B4_MARS.size() }, + { g_VSOP87B_B5_MARS.data(), g_VSOP87B_B5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_MARS[] = -{ - { g_VSOP87B_R0_MARS, sizeof(g_VSOP87B_R0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_MARS, sizeof(g_VSOP87B_R1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_MARS, sizeof(g_VSOP87B_R2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_MARS, sizeof(g_VSOP87B_R3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_MARS, sizeof(g_VSOP87B_R4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_MARS, sizeof(g_VSOP87B_R5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_MARS +{ { + { g_VSOP87B_R0_MARS.data(), g_VSOP87B_R0_MARS.size() }, + { g_VSOP87B_R1_MARS.data(), g_VSOP87B_R1_MARS.size() }, + { g_VSOP87B_R2_MARS.data(), g_VSOP87B_R2_MARS.size() }, + { g_VSOP87B_R3_MARS.data(), g_VSOP87B_R3_MARS.size() }, + { g_VSOP87B_R4_MARS.data(), g_VSOP87B_R4_MARS.size() }, + { g_VSOP87B_R5_MARS.data(), g_VSOP87B_R5_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Mars::L(double JD) +double CAAVSOP87B_Mars::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_MARS, sizeof(g_VSOP87B_L_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_MARS.data(), g_VSOP87B_L_MARS.size(), true); } -double CAAVSOP87B_Mars::L_DASH(double JD) +double CAAVSOP87B_Mars::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_MARS, sizeof(g_VSOP87B_L_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_MARS.data(), g_VSOP87B_L_MARS.size()); } -double CAAVSOP87B_Mars::B(double JD) +double CAAVSOP87B_Mars::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_MARS, sizeof(g_VSOP87B_B_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_MARS.data(), g_VSOP87B_B_MARS.size(), true); } -double CAAVSOP87B_Mars::B_DASH(double JD) +double CAAVSOP87B_Mars::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_MARS, sizeof(g_VSOP87B_B_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_MARS.data(), g_VSOP87B_B_MARS.size()); } -double CAAVSOP87B_Mars::R(double JD) +double CAAVSOP87B_Mars::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_MARS, sizeof(g_VSOP87B_R_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_MARS.data(), g_VSOP87B_R_MARS.size(), false); } -double CAAVSOP87B_Mars::R_DASH(double JD) +double CAAVSOP87B_Mars::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_MARS, sizeof(g_VSOP87B_R_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_MARS.data(), g_VSOP87B_R_MARS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_MER.cpp b/Sources/AAPlus/AAVSOP87B_MER.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87B_MER.cpp rename to Sources/AAPlus/AAVSOP87B_MER.cpp index 1461c84..8123ad4 --- a/Vendor/AA+/1.6.3/AAVSOP87B_MER.cpp +++ b/Sources/AAPlus/AAVSOP87B_MER.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_MERCURY +{ { { 4.40250710144, 0.00000000000, 0.00000000000 }, { 0.40989414977, 1.48302034195, 26087.90314157420 }, { 0.05046294200, 4.47785489551, 52175.80628314840 }, @@ -1615,10 +1621,10 @@ const VSOP87Coefficient g_VSOP87B_L0_MERCURY[] = { 0.00000000004, 2.21635240969, 215941.90072419358 }, { 0.00000000004, 5.48439088692, 182769.10080150416 }, { 0.00000000004, 1.64336565163, 246113.79237247215 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_MERCURY[] = -{ +constexpr array g_VSOP87B_L1_MERCURY +{ { { 26087.90313685529, 0.00000000000, 0.00000000000 }, { 0.01131199811, 6.21874197797, 26087.90314157420 }, { 0.00292242298, 3.04449355541, 52175.80628314840 }, @@ -2550,10 +2556,10 @@ const VSOP87Coefficient g_VSOP87B_L1_MERCURY[] = { 0.00000000002, 3.62048919482, 17098.43543614181 }, { 0.00000000002, 0.12909617158, 52161.57918914679 }, { 0.00000000002, 2.17258312431, 308502.88420183153 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_MERCURY[] = -{ +constexpr array g_VSOP87B_L2_MERCURY +{ { { 0.00016395129, 4.67759555504, 26087.90314157420 }, { 0.00008123865, 1.40305644134, 52175.80628314840 }, { 0.00003208170, 4.49577853102, 78263.70942472259 }, @@ -2992,10 +2998,10 @@ const VSOP87Coefficient g_VSOP87B_L2_MERCURY[] = { 0.00000000001, 0.30267346719, 132028.58860315479 }, { 0.00000000001, 5.29138018584, 208173.53416749899 }, { 0.00000000001, 5.56586628815, 183674.70392120857 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_MERCURY[] = -{ +constexpr array g_VSOP87B_L3_MERCURY +{ { { 0.00000169496, 3.20221586818, 26087.90314157420 }, { 0.00000155725, 6.23814315369, 52175.80628314840 }, { 0.00000090555, 2.96712953186, 78263.70942472259 }, @@ -3158,10 +3164,10 @@ const VSOP87Coefficient g_VSOP87B_L3_MERCURY[] = { 0.00000000000, 1.63336362157, 9103.90699411760 }, { 0.00000000000, 2.95763935965, 54294.57014352679 }, { 0.00000000000, 3.34933555413, 24498.83024629040 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_MERCURY[] = -{ +constexpr array g_VSOP87B_L4_MERCURY +{ { { 0.00000002671, 4.76418299344, 52175.80628314840 }, { 0.00000002079, 2.01782765964, 26087.90314157420 }, { 0.00000002071, 1.47603650163, 78263.70942472259 }, @@ -3185,10 +3191,10 @@ const VSOP87Coefficient g_VSOP87B_L4_MERCURY[] = { 0.00000000001, 4.47013011557, 103242.23401420339 }, { 0.00000000001, 0.25254465674, 339142.74084046460 }, { 0.00000000000, 4.19908374167, 155418.04029735178 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_MERCURY[] = -{ +constexpr array g_VSOP87B_L5_MERCURY +{ { { 0.00000000039, 6.22596606829, 78263.70942472259 }, { 0.00000000035, 3.08442751462, 52175.80628314840 }, { 0.00000000036, 5.58268731752, 26087.90314157420 }, @@ -3201,10 +3207,10 @@ const VSOP87Coefficient g_VSOP87B_L5_MERCURY[] = { 0.00000000001, 2.30011142231, 260879.03141574195 }, { 0.00000000000, 5.32570213434, 286966.93455731618 }, { 0.00000000000, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_MERCURY[] = -{ +constexpr array g_VSOP87B_B0_MERCURY +{ { { 0.11737528961, 1.98357498767, 26087.90314157420 }, { 0.02388076996, 5.03738959686, 52175.80628314840 }, { 0.01222839532, 3.14159265359, 0.00000000000 }, @@ -4023,10 +4029,10 @@ const VSOP87Coefficient g_VSOP87B_B0_MERCURY[] = { 0.00000000004, 4.02759705517, 104426.39416486409 }, { 0.00000000004, 1.34875445004, 106684.80895916879 }, { 0.00000000004, 5.13091111991, 735.87651353180 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_MERCURY[] = -{ +constexpr array g_VSOP87B_B1_MERCURY +{ { { 0.00274646065, 3.95008450011, 26087.90314157420 }, { 0.00099737713, 3.14159265359, 0.00000000000 }, { 0.00018772047, 0.05141288887, 78263.70942472259 }, @@ -4519,10 +4525,10 @@ const VSOP87Coefficient g_VSOP87B_B1_MERCURY[] = { 0.00000000002, 2.31962293255, 34082.43158359840 }, { 0.00000000002, 2.51789048589, 51951.46148744649 }, { 0.00000000002, 2.36943618837, 78187.44335344699 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_MERCURY[] = -{ +constexpr array g_VSOP87B_B2_MERCURY +{ { { 0.00002747165, 5.24567337999, 26087.90314157420 }, { 0.00002047257, 0.00000000000, 0.00000000000 }, { 0.00000516030, 0.49321133154, 52175.80628314840 }, @@ -4754,10 +4760,10 @@ const VSOP87Coefficient g_VSOP87B_B2_MERCURY[] = { 0.00000000001, 2.03914564106, 176953.98994186718 }, { 0.00000000001, 6.15951882831, 70269.18098269838 }, { 0.00000000001, 1.26757694099, 104358.72611329758 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_MERCURY[] = -{ +constexpr array g_VSOP87B_B3_MERCURY +{ { { 0.00000064680, 2.16518315874, 26087.90314157420 }, { 0.00000030733, 0.00000000000, 0.00000000000 }, { 0.00000018929, 5.40870348072, 52175.80628314840 }, @@ -4797,10 +4803,10 @@ const VSOP87Coefficient g_VSOP87B_B3_MERCURY[] = { 0.00000000001, 6.25128044210, 155418.04029735178 }, { 0.00000000000, 5.54564708703, 365230.64398203877 }, { 0.00000000001, 6.08850785156, 51116.42435295920 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_MERCURY[] = -{ +constexpr array g_VSOP87B_B4_MERCURY +{ { { 0.00000001427, 4.97519726738, 26087.90314157420 }, { 0.00000000491, 3.14159265359, 0.00000000000 }, { 0.00000000336, 3.19691284098, 52175.80628314840 }, @@ -4814,10 +4820,10 @@ const VSOP87Coefficient g_VSOP87B_B4_MERCURY[] = { 0.00000000004, 4.27354172628, 260879.03141574195 }, { 0.00000000001, 1.02393401255, 286966.93455731618 }, { 0.00000000000, 4.13470035458, 313054.83769889036 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_MERCURY[] = -{ +constexpr array g_VSOP87B_B5_MERCURY +{ { { 0.00000000009, 1.38311629808, 52175.80628314840 }, { 0.00000000008, 5.38548752147, 26087.90314157420 }, { 0.00000000006, 4.90804019263, 78263.70942472259 }, @@ -4828,10 +4834,10 @@ const VSOP87Coefficient g_VSOP87B_B5_MERCURY[] = { 0.00000000001, 5.83772628756, 182615.32199101939 }, { 0.00000000001, 2.68770315459, 208703.22513259359 }, { 0.00000000000, 5.84365103714, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_MERCURY[] = -{ +constexpr array g_VSOP87B_R0_MERCURY +{ { { 0.39528271651, 0.00000000000, 0.00000000000 }, { 0.07834131818, 6.19233722598, 26087.90314157420 }, { 0.00795525558, 2.95989690104, 52175.80628314840 }, @@ -6041,10 +6047,10 @@ const VSOP87Coefficient g_VSOP87B_R0_MERCURY[] = { 0.00000000001, 3.75122611900, 76352.50994150539 }, { 0.00000000002, 5.33836077527, 106684.80895916879 }, { 0.00000000001, 0.71806518278, 28928.40404660019 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_MERCURY[] = -{ +constexpr array g_VSOP87B_R1_MERCURY +{ { { 0.00217347740, 4.65617158665, 26087.90314157420 }, { 0.00044141826, 1.42385544001, 52175.80628314840 }, { 0.00010094479, 4.47466326327, 78263.70942472259 }, @@ -6751,10 +6757,10 @@ const VSOP87Coefficient g_VSOP87B_R1_MERCURY[] = { 0.00000000001, 2.16468187079, 1485.98012106520 }, { 0.00000000001, 5.72787089962, 153084.84390447979 }, { 0.00000000001, 4.66269784654, 54374.89362643540 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_MERCURY[] = -{ +constexpr array g_VSOP87B_R2_MERCURY +{ { { 0.00003117867, 3.08231840294, 26087.90314157420 }, { 0.00001245397, 6.15183316810, 52175.80628314840 }, { 0.00000424822, 2.92583350003, 78263.70942472259 }, @@ -7073,10 +7079,10 @@ const VSOP87Coefficient g_VSOP87B_R2_MERCURY[] = { 0.00000000000, 0.02652054523, 6681.22485339960 }, { 0.00000000000, 1.97940011643, 86143.79857806159 }, { 0.00000000000, 4.41963004243, 114.43928868521 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_MERCURY[] = -{ +constexpr array g_VSOP87B_R3_MERCURY +{ { { 0.00000032676, 1.67971641967, 26087.90314157420 }, { 0.00000024166, 4.63403168878, 52175.80628314840 }, { 0.00000012133, 1.38983777816, 78263.70942472259 }, @@ -7188,10 +7194,10 @@ const VSOP87Coefficient g_VSOP87B_R3_MERCURY[] = { 0.00000000000, 5.77253301832, 105410.99449648599 }, { 0.00000000000, 0.68653770637, 79219.30916633119 }, { 0.00000000000, 2.14142206148, 64741.95798313119 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_MERCURY[] = -{ +constexpr array g_VSOP87B_R4_MERCURY +{ { { 0.00000000394, 0.36736738836, 26087.90314157420 }, { 0.00000000387, 3.18568894140, 52175.80628314840 }, { 0.00000000270, 6.16979809593, 78263.70942472259 }, @@ -7209,10 +7215,10 @@ const VSOP87Coefficient g_VSOP87B_R4_MERCURY[] = { 0.00000000000, 5.93192891756, 53285.18483524180 }, { 0.00000000000, 6.03840913462, 77154.33087262919 }, { 0.00000000000, 3.02089425425, 27197.28169366760 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_MERCURY[] = -{ +constexpr array g_VSOP87B_R5_MERCURY +{ { { 0.00000000006, 3.98812118954, 26087.90314157420 }, { 0.00000000006, 1.55172409309, 52175.80628314840 }, { 0.00000000005, 4.65488347662, 78263.70942472259 }, @@ -7223,68 +7229,67 @@ const VSOP87Coefficient g_VSOP87B_R5_MERCURY[] = { 0.00000000001, 4.24238056507, 182615.32199101939 }, { 0.00000000000, 0.95140152937, 208703.22513259359 }, { 0.00000000000, 4.00511196914, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_MERCURY[] = -{ - { g_VSOP87B_L0_MERCURY, sizeof(g_VSOP87B_L0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_MERCURY, sizeof(g_VSOP87B_L1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_MERCURY, sizeof(g_VSOP87B_L2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_MERCURY, sizeof(g_VSOP87B_L3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_MERCURY, sizeof(g_VSOP87B_L4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_MERCURY, sizeof(g_VSOP87B_L5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_MERCURY +{ { + { g_VSOP87B_L0_MERCURY.data(), g_VSOP87B_L0_MERCURY.size() }, + { g_VSOP87B_L1_MERCURY.data(), g_VSOP87B_L1_MERCURY.size() }, + { g_VSOP87B_L2_MERCURY.data(), g_VSOP87B_L2_MERCURY.size() }, + { g_VSOP87B_L3_MERCURY.data(), g_VSOP87B_L3_MERCURY.size() }, + { g_VSOP87B_L4_MERCURY.data(), g_VSOP87B_L4_MERCURY.size() }, + { g_VSOP87B_L5_MERCURY.data(), g_VSOP87B_L5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_MERCURY[] = -{ - { g_VSOP87B_B0_MERCURY, sizeof(g_VSOP87B_B0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_MERCURY, sizeof(g_VSOP87B_B1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_MERCURY, sizeof(g_VSOP87B_B2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_MERCURY, sizeof(g_VSOP87B_B3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_MERCURY, sizeof(g_VSOP87B_B4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_MERCURY, sizeof(g_VSOP87B_B5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_MERCURY +{ { + { g_VSOP87B_B0_MERCURY.data(), g_VSOP87B_B0_MERCURY.size() }, + { g_VSOP87B_B1_MERCURY.data(), g_VSOP87B_B1_MERCURY.size() }, + { g_VSOP87B_B2_MERCURY.data(), g_VSOP87B_B2_MERCURY.size() }, + { g_VSOP87B_B3_MERCURY.data(), g_VSOP87B_B3_MERCURY.size() }, + { g_VSOP87B_B4_MERCURY.data(), g_VSOP87B_B4_MERCURY.size() }, + { g_VSOP87B_B5_MERCURY.data(), g_VSOP87B_B5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_MERCURY[] = -{ - { g_VSOP87B_R0_MERCURY, sizeof(g_VSOP87B_R0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_MERCURY, sizeof(g_VSOP87B_R1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_MERCURY, sizeof(g_VSOP87B_R2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_MERCURY, sizeof(g_VSOP87B_R3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_MERCURY, sizeof(g_VSOP87B_R4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_MERCURY, sizeof(g_VSOP87B_R5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_MERCURY +{ { + { g_VSOP87B_R0_MERCURY.data(), g_VSOP87B_R0_MERCURY.size() }, + { g_VSOP87B_R1_MERCURY.data(), g_VSOP87B_R1_MERCURY.size() }, + { g_VSOP87B_R2_MERCURY.data(), g_VSOP87B_R2_MERCURY.size() }, + { g_VSOP87B_R3_MERCURY.data(), g_VSOP87B_R3_MERCURY.size() }, + { g_VSOP87B_R4_MERCURY.data(), g_VSOP87B_R4_MERCURY.size() }, + { g_VSOP87B_R5_MERCURY.data(), g_VSOP87B_R5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Mercury::L(double JD) +double CAAVSOP87B_Mercury::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_MERCURY, sizeof(g_VSOP87B_L_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_MERCURY.data(), g_VSOP87B_L_MERCURY.size(), true); } -double CAAVSOP87B_Mercury::L_DASH(double JD) +double CAAVSOP87B_Mercury::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_MERCURY, sizeof(g_VSOP87B_L_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_MERCURY.data(), g_VSOP87B_L_MERCURY.size()); } -double CAAVSOP87B_Mercury::B(double JD) +double CAAVSOP87B_Mercury::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_MERCURY, sizeof(g_VSOP87B_B_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_MERCURY.data(), g_VSOP87B_B_MERCURY.size(), true); } -double CAAVSOP87B_Mercury::B_DASH(double JD) +double CAAVSOP87B_Mercury::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_MERCURY, sizeof(g_VSOP87B_B_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_MERCURY.data(), g_VSOP87B_B_MERCURY.size()); } -double CAAVSOP87B_Mercury::R(double JD) +double CAAVSOP87B_Mercury::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_MERCURY, sizeof(g_VSOP87B_R_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_MERCURY.data(), g_VSOP87B_R_MERCURY.size(), false); } -double CAAVSOP87B_Mercury::R_DASH(double JD) +double CAAVSOP87B_Mercury::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_MERCURY, sizeof(g_VSOP87B_R_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_MERCURY.data(), g_VSOP87B_R_MERCURY.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_SAT.cpp b/Sources/AAPlus/AAVSOP87B_SAT.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87B_SAT.cpp rename to Sources/AAPlus/AAVSOP87B_SAT.cpp index a690ceb..5ff5e12 --- a/Vendor/AA+/1.6.3/AAVSOP87B_SAT.cpp +++ b/Sources/AAPlus/AAVSOP87B_SAT.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_SATURN +{ { { 0.87401354025, 0.00000000000, 0.00000000000 }, { 0.11107659762, 3.96205090159, 213.29909543800 }, { 0.01414150957, 4.58581516874, 7.11354700080 }, @@ -1469,10 +1475,10 @@ const VSOP87Coefficient g_VSOP87B_L0_SATURN[] = { 0.00000000077, 1.14405747955, 227.57437354940 }, { 0.00000000071, 0.96814412427, 544.66881862160 }, { 0.00000000088, 1.03829142709, 266.95250132400 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_SATURN[] = -{ +constexpr array g_VSOP87B_L1_SATURN +{ { { 213.29909521690, 0.00000000000, 0.00000000000 }, { 0.01297370862, 1.82834923978, 213.29909543800 }, { 0.00564345393, 2.88499717272, 7.11354700080 }, @@ -2290,10 +2296,10 @@ const VSOP87Coefficient g_VSOP87B_L1_SATURN[] = { 0.00000000088, 1.09928677784, 1246.65747183630 }, { 0.00000000078, 5.49208074374, 477.00076705510 }, { 0.00000000079, 2.75804430794, 847.04604259770 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_SATURN[] = -{ +constexpr array g_VSOP87B_L2_SATURN +{ { { 0.00116441330, 1.17988132879, 7.11354700080 }, { 0.00091841837, 0.07325195840, 213.29909543800 }, { 0.00036661728, 0.00000000000, 0.00000000000 }, @@ -2732,10 +2738,10 @@ const VSOP87Coefficient g_VSOP87B_L2_SATURN[] = { 0.00000000072, 3.92553125825, 1176.70179840940 }, { 0.00000000078, 1.51105649620, 1269.49963188950 }, { 0.00000000071, 3.64609589554, 198.32124191100 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_SATURN[] = -{ +constexpr array g_VSOP87B_L3_SATURN +{ { { 0.00016038732, 5.73945573267, 7.11354700080 }, { 0.00004254737, 4.58877599687, 213.29909543800 }, { 0.00001906379, 4.76070843570, 220.41264243880 }, @@ -2928,10 +2934,10 @@ const VSOP87Coefficient g_VSOP87B_L3_SATURN[] = { 0.00000000075, 3.89924996086, 3370.10424500320 }, { 0.00000000084, 1.84802318288, 398.14400287280 }, { 0.00000000076, 3.33883739305, 195.89060769870 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_SATURN[] = -{ +constexpr array g_VSOP87B_L4_SATURN +{ { { 0.00001661877, 3.99824447634, 7.11354700080 }, { 0.00000257094, 2.98422287887, 220.41264243880 }, { 0.00000236328, 3.90248844320, 14.22709400160 }, @@ -3017,10 +3023,10 @@ const VSOP87Coefficient g_VSOP87B_L4_SATURN[] = { 0.00000000105, 0.46132848902, 867.42347575360 }, { 0.00000000078, 4.50314394179, 2015.67108615980 }, { 0.00000000088, 4.99305633625, 444.00667861530 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_SATURN[] = -{ +constexpr array g_VSOP87B_L5_SATURN +{ { { 0.00000123607, 2.25923420203, 7.11354700080 }, { 0.00000034176, 2.16278773143, 14.22709400160 }, { 0.00000027539, 1.19822164604, 220.41264243880 }, @@ -3051,10 +3057,10 @@ const VSOP87Coefficient g_VSOP87B_L5_SATURN[] = { 0.00000000093, 5.50595405458, 95.97922721780 }, { 0.00000000109, 0.34156541412, 447.93883187840 }, { 0.00000000076, 1.01712437818, 522.57741809380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_SATURN[] = -{ +constexpr array g_VSOP87B_B0_SATURN +{ { { 0.04330678039, 3.60284428399, 213.29909543800 }, { 0.00240348302, 2.85238489373, 426.59819087600 }, { 0.00084745939, 0.00000000000, 0.00000000000 }, @@ -3555,10 +3561,10 @@ const VSOP87Coefficient g_VSOP87B_B0_SATURN[] = { 0.00000000080, 4.11844342601, 774.48262992160 }, { 0.00000000080, 0.88340921666, 856.37777548970 }, { 0.00000000083, 0.11455345099, 402.21916848780 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_SATURN[] = -{ +constexpr array g_VSOP87B_B1_SATURN +{ { { 0.00198927992, 4.93901017903, 213.29909543800 }, { 0.00036947916, 3.14159265359, 0.00000000000 }, { 0.00017966989, 0.51979431110, 426.59819087600 }, @@ -3806,10 +3812,10 @@ const VSOP87Coefficient g_VSOP87B_B1_SATURN[] = { 0.00000000075, 3.24680455233, 488.84961647110 }, { 0.00000000072, 3.94806470747, 637.44960575920 }, { 0.00000000075, 4.01647621073, 432.22726516850 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_SATURN[] = -{ +constexpr array g_VSOP87B_B2_SATURN +{ { { 0.00013884264, 0.08994998691, 213.29909543800 }, { 0.00003075713, 3.91610937620, 206.18554843720 }, { 0.00002081666, 0.09631968077, 220.41264243880 }, @@ -3921,10 +3927,10 @@ const VSOP87Coefficient g_VSOP87B_B2_SATURN[] = { 0.00000000078, 5.47626971516, 337.73251065900 }, { 0.00000000102, 0.47334815662, 1272.68102562720 }, { 0.00000000073, 2.04208824417, 621.73803904930 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_SATURN[] = -{ +constexpr array g_VSOP87B_B3_SATURN +{ { { 0.00000463357, 1.69194209337, 213.29909543800 }, { 0.00000487242, 5.57827705588, 206.18554843720 }, { 0.00000270686, 4.65445792593, 220.41264243880 }, @@ -3979,10 +3985,10 @@ const VSOP87Coefficient g_VSOP87B_B3_SATURN[] = { 0.00000000133, 2.98510523287, 422.66603761290 }, { 0.00000000128, 1.05737228351, 1073.60902419080 }, { 0.00000000076, 6.23861369445, 1279.79457262800 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_SATURN[] = -{ +constexpr array g_VSOP87B_B4_SATURN +{ { { 0.00000058521, 0.96404269672, 206.18554843720 }, { 0.00000027023, 2.97511812746, 213.29909543800 }, { 0.00000027345, 2.90816987834, 220.41264243880 }, @@ -4007,10 +4013,10 @@ const VSOP87Coefficient g_VSOP87B_B4_SATURN[] = { 0.00000000146, 1.02713520383, 654.12438031560 }, { 0.00000000081, 1.92779115537, 625.67019231240 }, { 0.00000000072, 5.13732084121, 1066.49547719000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_SATURN[] = -{ +constexpr array g_VSOP87B_B5_SATURN +{ { { 0.00000005442, 2.61186488264, 206.18554843720 }, { 0.00000001966, 1.16969532852, 220.41264243880 }, { 0.00000000907, 0.10771558371, 433.71173787680 }, @@ -4022,10 +4028,10 @@ const VSOP87Coefficient g_VSOP87B_B5_SATURN[] = { 0.00000000098, 1.68550159247, 213.29909543800 }, { 0.00000000120, 0.10893311879, 440.82528487760 }, { 0.00000000081, 5.11373096610, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_SATURN[] = -{ +constexpr array g_VSOP87B_R0_SATURN +{ { { 9.55758135486, 0.00000000000, 0.00000000000 }, { 0.52921382865, 2.39226219573, 213.29909543800 }, { 0.01873679867, 5.23549604660, 206.18554843720 }, @@ -5234,10 +5240,10 @@ const VSOP87Coefficient g_VSOP87B_R0_SATURN[] = { 0.00000000883, 1.46307267703, 112.91463420510 }, { 0.00000000827, 2.59300433753, 232.94281541100 }, { 0.00000000686, 2.16126205234, 529.73914920440 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_SATURN[] = -{ +constexpr array g_VSOP87B_R1_SATURN +{ { { 0.06182981340, 0.25843511480, 213.29909543800 }, { 0.00506577242, 0.71114625261, 206.18554843720 }, { 0.00341394029, 5.79635741658, 426.59819087600 }, @@ -5865,10 +5871,10 @@ const VSOP87Coefficient g_VSOP87B_R1_SATURN[] = { 0.00000000724, 1.62856264107, 2200.51599359460 }, { 0.00000000706, 0.31965789145, 898.77303279070 }, { 0.00000000681, 6.01812948937, 91.78644152380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_SATURN[] = -{ +constexpr array g_VSOP87B_R2_SATURN +{ { { 0.00436902572, 4.78671677509, 213.29909543800 }, { 0.00071922498, 2.50070069930, 206.18554843720 }, { 0.00049766872, 4.97167777235, 220.41264243880 }, @@ -6207,10 +6213,10 @@ const VSOP87Coefficient g_VSOP87B_R2_SATURN[] = { 0.00000000745, 6.22304530635, 1269.49963188950 }, { 0.00000000679, 0.78943373396, 273.85360000370 }, { 0.00000000932, 5.20456188216, 849.26422848890 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_SATURN[] = -{ +constexpr array g_VSOP87B_R3_SATURN +{ { { 0.00020315239, 3.02186068237, 213.29909543800 }, { 0.00008923679, 3.19144467228, 220.41264243880 }, { 0.00006908768, 4.35175288182, 206.18554843720 }, @@ -6365,10 +6371,10 @@ const VSOP87Coefficient g_VSOP87B_R3_SATURN[] = { 0.00000000823, 0.15294957676, 1141.13406340540 }, { 0.00000000738, 4.90593328066, 1485.98012106520 }, { 0.00000000685, 1.70083536518, 483.22054217860 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_SATURN[] = -{ +constexpr array g_VSOP87B_R4_SATURN +{ { { 0.00001202117, 1.41498340225, 220.41264243880 }, { 0.00000707794, 1.16151449537, 213.29909543800 }, { 0.00000516224, 6.24049105350, 206.18554843720 }, @@ -6434,10 +6440,10 @@ const VSOP87Coefficient g_VSOP87B_R4_SATURN[] = { 0.00000000986, 1.63414986297, 735.87651353180 }, { 0.00000000753, 4.90938931967, 56.62235130260 }, { 0.00000000791, 2.74375014558, 423.41679713830 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_SATURN[] = -{ +constexpr array g_VSOP87B_R5_SATURN +{ { { 0.00000128668, 5.91279864289, 220.41264243880 }, { 0.00000032196, 0.69558284384, 7.11354700080 }, { 0.00000026737, 5.91270395039, 227.52618943960 }, @@ -6465,68 +6471,67 @@ const VSOP87Coefficient g_VSOP87B_R5_SATURN[] = { 0.00000001054, 0.20778977120, 412.37109687440 }, { 0.00000000719, 5.20973072924, 216.48048917570 }, { 0.00000000706, 2.65805151133, 110.20632121940 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_SATURN[] = -{ - { g_VSOP87B_L0_SATURN, sizeof(g_VSOP87B_L0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_SATURN, sizeof(g_VSOP87B_L1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_SATURN, sizeof(g_VSOP87B_L2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_SATURN, sizeof(g_VSOP87B_L3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_SATURN, sizeof(g_VSOP87B_L4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_SATURN, sizeof(g_VSOP87B_L5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_SATURN +{ { + { g_VSOP87B_L0_SATURN.data(), g_VSOP87B_L0_SATURN.size() }, + { g_VSOP87B_L1_SATURN.data(), g_VSOP87B_L1_SATURN.size() }, + { g_VSOP87B_L2_SATURN.data(), g_VSOP87B_L2_SATURN.size() }, + { g_VSOP87B_L3_SATURN.data(), g_VSOP87B_L3_SATURN.size() }, + { g_VSOP87B_L4_SATURN.data(), g_VSOP87B_L4_SATURN.size() }, + { g_VSOP87B_L5_SATURN.data(), g_VSOP87B_L5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_SATURN[] = -{ - { g_VSOP87B_B0_SATURN, sizeof(g_VSOP87B_B0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_SATURN, sizeof(g_VSOP87B_B1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_SATURN, sizeof(g_VSOP87B_B2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_SATURN, sizeof(g_VSOP87B_B3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_SATURN, sizeof(g_VSOP87B_B4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_SATURN, sizeof(g_VSOP87B_B5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_SATURN +{ { + { g_VSOP87B_B0_SATURN.data(), g_VSOP87B_B0_SATURN.size() }, + { g_VSOP87B_B1_SATURN.data(), g_VSOP87B_B1_SATURN.size() }, + { g_VSOP87B_B2_SATURN.data(), g_VSOP87B_B2_SATURN.size() }, + { g_VSOP87B_B3_SATURN.data(), g_VSOP87B_B3_SATURN.size() }, + { g_VSOP87B_B4_SATURN.data(), g_VSOP87B_B4_SATURN.size() }, + { g_VSOP87B_B5_SATURN.data(), g_VSOP87B_B5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_SATURN[] = -{ - { g_VSOP87B_R0_SATURN, sizeof(g_VSOP87B_R0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_SATURN, sizeof(g_VSOP87B_R1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_SATURN, sizeof(g_VSOP87B_R2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_SATURN, sizeof(g_VSOP87B_R3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_SATURN, sizeof(g_VSOP87B_R4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_SATURN, sizeof(g_VSOP87B_R5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_SATURN +{ { + { g_VSOP87B_R0_SATURN.data(), g_VSOP87B_R0_SATURN.size() }, + { g_VSOP87B_R1_SATURN.data(), g_VSOP87B_R1_SATURN.size() }, + { g_VSOP87B_R2_SATURN.data(), g_VSOP87B_R2_SATURN.size() }, + { g_VSOP87B_R3_SATURN.data(), g_VSOP87B_R3_SATURN.size() }, + { g_VSOP87B_R4_SATURN.data(), g_VSOP87B_R4_SATURN.size() }, + { g_VSOP87B_R5_SATURN.data(), g_VSOP87B_R5_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Saturn::L(double JD) +double CAAVSOP87B_Saturn::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_SATURN, sizeof(g_VSOP87B_L_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_SATURN.data(), g_VSOP87B_L_SATURN.size(), true); } -double CAAVSOP87B_Saturn::L_DASH(double JD) +double CAAVSOP87B_Saturn::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_SATURN, sizeof(g_VSOP87B_L_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_SATURN.data(), g_VSOP87B_L_SATURN.size()); } -double CAAVSOP87B_Saturn::B(double JD) +double CAAVSOP87B_Saturn::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_SATURN, sizeof(g_VSOP87B_B_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_SATURN.data(), g_VSOP87B_B_SATURN.size(), true); } -double CAAVSOP87B_Saturn::B_DASH(double JD) +double CAAVSOP87B_Saturn::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_SATURN, sizeof(g_VSOP87B_B_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_SATURN.data(), g_VSOP87B_B_SATURN.size()); } -double CAAVSOP87B_Saturn::R(double JD) +double CAAVSOP87B_Saturn::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_SATURN, sizeof(g_VSOP87B_R_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_SATURN.data(), g_VSOP87B_R_SATURN.size(), false); } -double CAAVSOP87B_Saturn::R_DASH(double JD) +double CAAVSOP87B_Saturn::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_SATURN, sizeof(g_VSOP87B_R_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_SATURN.data(), g_VSOP87B_R_SATURN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_EAR.cpp b/Sources/AAPlus/AAVSOP87C_EAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87C_EAR.cpp rename to Sources/AAPlus/AAVSOP87C_EAR.cpp index ee3757f..2d18718 --- a/Vendor/AA+/1.6.3/AAVSOP87C_EAR.cpp +++ b/Sources/AAPlus/AAVSOP87C_EAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_EAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_EAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_EARTH[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_EARTH +{ { { 0.99986069925, 1.75347045757, 6283.31966747490 }, { 0.02506324281, 4.93819429098, 0.24381748350 }, { 0.00835274807, 1.71033525539, 12566.39551746630 }, @@ -1039,10 +1045,10 @@ const VSOP87Coefficient g_VSOP87C_X0_EARTH[] = { 0.00000000038, 2.90982798521, 20.11150191529 }, { 0.00000000050, 1.62788860301, 84334.66158130829 }, { 0.00000000050, 2.84763289309, 60284.16619777939 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_EARTH[] = -{ +constexpr array g_VSOP87C_X1_EARTH +{ { { 0.00154550744, 0.64605836878, 0.24381748350 }, { 0.00051503383, 6.00263199393, 12566.39551746630 }, { 0.00001290763, 5.95941652859, 18849.47136745770 }, @@ -1643,10 +1649,10 @@ const VSOP87Coefficient g_VSOP87C_X1_EARTH[] = { 0.00000000019, 4.29574443999, 84020.10309797739 }, { 0.00000000020, 3.84957027230, 50316.95962204730 }, { 0.00000000020, 2.85391796921, 9070.36269133230 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_EARTH[] = -{ +constexpr array g_VSOP87C_X2_EARTH +{ { { 0.00052911498, 3.32403354915, 6283.31966747490 }, { 0.00006074441, 2.05485843872, 0.24381748350 }, { 0.00002406871, 4.23086027149, 12566.39551746630 }, @@ -1895,10 +1901,10 @@ const VSOP87Coefficient g_VSOP87C_X2_EARTH[] = { 0.00000000009, 1.49151911226, 29826.55017215670 }, { 0.00000000010, 4.24000912367, 23581.50199480110 }, { 0.00000000011, 0.39610887139, 25158.84553724890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_EARTH[] = -{ +constexpr array g_VSOP87C_X3_EARTH +{ { { 0.00000232790, 3.40634928966, 0.24381748350 }, { 0.00000076843, 2.52439403387, 12566.39551746630 }, { 0.00000035331, 3.34616699853, 6283.31966747490 }, @@ -1945,10 +1951,10 @@ const VSOP87Coefficient g_VSOP87C_X3_EARTH[] = { 0.00000000006, 5.83931193332, 6282.33934640670 }, { 0.00000000005, 3.46747665337, 4137.15425099970 }, { 0.00000000005, 3.58293336989, 6496.61876291290 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_EARTH[] = -{ +constexpr array g_VSOP87C_X4_EARTH +{ { { 0.00000114918, 0.06053023506, 6283.31966747490 }, { 0.00000006817, 4.47624663983, 0.24381748350 }, { 0.00000003158, 0.47910545815, 12566.39551746630 }, @@ -1969,10 +1975,10 @@ const VSOP87Coefficient g_VSOP87C_X4_EARTH[] = { 0.00000000005, 5.56850457487, 156137.71980228278 }, { 0.00000000004, 3.40118346072, 12565.90788249930 }, { 0.00000000003, 5.17221494066, 529.93478257810 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_EARTH[] = -{ +constexpr array g_VSOP87C_X5_EARTH +{ { { 0.00000000877, 0.16136296068, 6283.31966747490 }, { 0.00000000305, 5.62973274927, 0.24381748350 }, { 0.00000000101, 4.88076699149, 12566.39551746630 }, @@ -1980,10 +1986,10 @@ const VSOP87Coefficient g_VSOP87C_X5_EARTH[] = { 0.00000000025, 1.27879113841, 6127.89926804070 }, { 0.00000000010, 5.11399286577, 18849.47136745770 }, { 0.00000000003, 2.56205735968, 6282.83203250789 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_EARTH[] = -{ +constexpr array g_VSOP87C_Y0_EARTH +{ { { 0.99986069925, 0.18267413078, 6283.31966747490 }, { 0.02506324281, 3.36739796418, 0.24381748350 }, { 0.00835274807, 0.13953892859, 12566.39551746630 }, @@ -2991,10 +2997,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_EARTH[] = { 0.00000000038, 4.48062431201, 20.11150191529 }, { 0.00000000050, 0.05709227621, 84334.66158130829 }, { 0.00000000050, 4.41842921988, 60284.16619777939 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_EARTH[] = -{ +constexpr array g_VSOP87C_Y1_EARTH +{ { { 0.00154550744, 5.35844734917, 0.24381748350 }, { 0.00051503383, 4.43183566713, 12566.39551746630 }, { 0.00001290763, 4.38862020180, 18849.47136745770 }, @@ -3595,10 +3601,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_EARTH[] = { 0.00000000019, 2.72494811319, 84020.10309797739 }, { 0.00000000020, 5.42036659910, 50316.95962204730 }, { 0.00000000020, 1.28312164242, 9070.36269133230 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_EARTH[] = -{ +constexpr array g_VSOP87C_Y2_EARTH +{ { { 0.00052911498, 1.75323722235, 6283.31966747490 }, { 0.00006074441, 0.48406211192, 0.24381748350 }, { 0.00002406871, 2.66006394470, 12566.39551746630 }, @@ -3847,10 +3853,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_EARTH[] = { 0.00000000009, 6.20390809264, 29826.55017215670 }, { 0.00000000010, 2.66921279687, 23581.50199480110 }, { 0.00000000011, 5.10849785178, 25158.84553724890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_EARTH[] = -{ +constexpr array g_VSOP87C_Y3_EARTH +{ { { 0.00000232790, 1.83555296287, 0.24381748350 }, { 0.00000076843, 0.95359770708, 12566.39551746630 }, { 0.00000035331, 1.77537067174, 6283.31966747490 }, @@ -3897,10 +3903,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_EARTH[] = { 0.00000000006, 4.26851560652, 6282.33934640670 }, { 0.00000000005, 1.89668032657, 4137.15425099970 }, { 0.00000000005, 2.01213704309, 6496.61876291290 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_EARTH[] = -{ +constexpr array g_VSOP87C_Y4_EARTH +{ { { 0.00000114918, 4.77291921544, 6283.31966747490 }, { 0.00000006817, 2.90545031303, 0.24381748350 }, { 0.00000003158, 5.19149443854, 12566.39551746630 }, @@ -3921,10 +3927,10 @@ const VSOP87Coefficient g_VSOP87C_Y4_EARTH[] = { 0.00000000005, 3.99770824807, 156137.71980228278 }, { 0.00000000004, 4.97197978751, 12565.90788249930 }, { 0.00000000003, 3.60141861387, 529.93478257810 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_EARTH[] = -{ +constexpr array g_VSOP87C_Y5_EARTH +{ { { 0.00000000877, 4.87375194107, 6283.31966747490 }, { 0.00000000305, 4.05893642248, 0.24381748350 }, { 0.00000000101, 3.30997066470, 12566.39551746630 }, @@ -3932,10 +3938,10 @@ const VSOP87Coefficient g_VSOP87C_Y5_EARTH[] = { 0.00000000025, 5.99118011879, 6127.89926804070 }, { 0.00000000010, 3.54319653898, 18849.47136745770 }, { 0.00000000003, 4.13285368647, 6282.83203250789 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_EARTH[] = -{ +constexpr array g_VSOP87C_Z0_EARTH +{ { { 0.00000279620, 3.19870156017, 84334.66158130829 }, { 0.00000101625, 5.42248110597, 5507.55323866740 }, { 0.00000080461, 3.88027157914, 5223.69391980220 }, @@ -4114,10 +4120,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_EARTH[] = { 0.00000000056, 2.60133794851, 73188.37597844210 }, { 0.00000000055, 5.81483150022, 143233.51002162008 }, { 0.00000000054, 3.38482031504, 323049.11878710287 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_EARTH[] = -{ +constexpr array g_VSOP87C_Z1_EARTH +{ { { 0.00000009031, 3.89751156799, 5507.55323866740 }, { 0.00000006179, 1.73051337995, 5223.69391980220 }, { 0.00000003793, 5.24575814515, 2352.86615377180 }, @@ -4215,10 +4221,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_EARTH[] = { 0.00000000020, 3.74220084927, 1589.07289528380 }, { 0.00000000018, 1.58348238359, 2118.76386037840 }, { 0.00000000019, 0.85407021371, 14712.31711645800 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_EARTH[] = -{ +constexpr array g_VSOP87C_Z2_EARTH +{ { { 0.00000001662, 1.62703209173, 84334.66158130829 }, { 0.00000000492, 2.41382223971, 1047.74731175470 }, { 0.00000000344, 2.24353004539, 5507.55323866740 }, @@ -4266,10 +4272,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_EARTH[] = { 0.00000000010, 5.15032130575, 11371.70468975820 }, { 0.00000000013, 0.98720797401, 5729.50644714900 }, { 0.00000000009, 5.94191743597, 7632.94325965020 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_EARTH[] = -{ +constexpr array g_VSOP87C_Z3_EARTH +{ { { 0.00000000011, 0.23877262399, 7860.41939243920 }, { 0.00000000009, 1.16069982609, 5507.55323866740 }, { 0.00000000008, 1.65357552925, 5884.92684658320 }, @@ -4281,76 +4287,75 @@ const VSOP87Coefficient g_VSOP87C_Z3_EARTH[] = { 0.00000000006, 0.84181087594, 6275.96230299060 }, { 0.00000000006, 5.40160929468, 1577.34354244780 }, { 0.00000000007, 2.73399865247, 6309.37416979120 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_EARTH[] = -{ +constexpr array g_VSOP87C_Z4_EARTH +{ { { 0.00000000004, 0.79662198849, 6438.49624942560 }, { 0.00000000005, 0.84308705203, 1047.74731175470 }, { 0.00000000005, 0.05711572303, 84334.66158130829 }, { 0.00000000003, 3.46779895686, 6279.55273164240 }, { 0.00000000003, 2.89822201212, 6127.65545055720 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_EARTH[] = -{ - { g_VSOP87C_X0_EARTH, sizeof(g_VSOP87C_X0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_EARTH, sizeof(g_VSOP87C_X1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_EARTH, sizeof(g_VSOP87C_X2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_EARTH, sizeof(g_VSOP87C_X3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_EARTH, sizeof(g_VSOP87C_X4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_EARTH, sizeof(g_VSOP87C_X5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_EARTH +{ { + { g_VSOP87C_X0_EARTH.data(), g_VSOP87C_X0_EARTH.size() }, + { g_VSOP87C_X1_EARTH.data(), g_VSOP87C_X1_EARTH.size() }, + { g_VSOP87C_X2_EARTH.data(), g_VSOP87C_X2_EARTH.size() }, + { g_VSOP87C_X3_EARTH.data(), g_VSOP87C_X3_EARTH.size() }, + { g_VSOP87C_X4_EARTH.data(), g_VSOP87C_X4_EARTH.size() }, + { g_VSOP87C_X5_EARTH.data(), g_VSOP87C_X5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_EARTH[] = -{ - { g_VSOP87C_Y0_EARTH, sizeof(g_VSOP87C_Y0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_EARTH, sizeof(g_VSOP87C_Y1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_EARTH, sizeof(g_VSOP87C_Y2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_EARTH, sizeof(g_VSOP87C_Y3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_EARTH, sizeof(g_VSOP87C_Y4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_EARTH, sizeof(g_VSOP87C_Y5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_EARTH +{ { + { g_VSOP87C_Y0_EARTH.data(), g_VSOP87C_Y0_EARTH.size() }, + { g_VSOP87C_Y1_EARTH.data(), g_VSOP87C_Y1_EARTH.size() }, + { g_VSOP87C_Y2_EARTH.data(), g_VSOP87C_Y2_EARTH.size() }, + { g_VSOP87C_Y3_EARTH.data(), g_VSOP87C_Y3_EARTH.size() }, + { g_VSOP87C_Y4_EARTH.data(), g_VSOP87C_Y4_EARTH.size() }, + { g_VSOP87C_Y5_EARTH.data(), g_VSOP87C_Y5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_EARTH[] = -{ - { g_VSOP87C_Z0_EARTH, sizeof(g_VSOP87C_Z0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_EARTH, sizeof(g_VSOP87C_Z1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_EARTH, sizeof(g_VSOP87C_Z2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_EARTH, sizeof(g_VSOP87C_Z3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_EARTH, sizeof(g_VSOP87C_Z4_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_EARTH +{ { + { g_VSOP87C_Z0_EARTH.data(), g_VSOP87C_Z0_EARTH.size() }, + { g_VSOP87C_Z1_EARTH.data(), g_VSOP87C_Z1_EARTH.size() }, + { g_VSOP87C_Z2_EARTH.data(), g_VSOP87C_Z2_EARTH.size() }, + { g_VSOP87C_Z3_EARTH.data(), g_VSOP87C_Z3_EARTH.size() }, + { g_VSOP87C_Z4_EARTH.data(), g_VSOP87C_Z4_EARTH.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Earth::X(double JD) +double CAAVSOP87C_Earth::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_EARTH, sizeof(g_VSOP87C_X_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_EARTH.data(), g_VSOP87C_X_EARTH.size(), false); } -double CAAVSOP87C_Earth::X_DASH(double JD) +double CAAVSOP87C_Earth::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_EARTH, sizeof(g_VSOP87C_X_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_EARTH.data(), g_VSOP87C_X_EARTH.size()); } -double CAAVSOP87C_Earth::Y(double JD) +double CAAVSOP87C_Earth::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_EARTH, sizeof(g_VSOP87C_Y_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_EARTH.data(), g_VSOP87C_Y_EARTH.size(), false); } -double CAAVSOP87C_Earth::Y_DASH(double JD) +double CAAVSOP87C_Earth::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_EARTH, sizeof(g_VSOP87C_Y_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_EARTH.data(), g_VSOP87C_Y_EARTH.size()); } -double CAAVSOP87C_Earth::Z(double JD) +double CAAVSOP87C_Earth::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_EARTH, sizeof(g_VSOP87C_Z_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_EARTH.data(), g_VSOP87C_Z_EARTH.size(), false); } -double CAAVSOP87C_Earth::Z_DASH(double JD) +double CAAVSOP87C_Earth::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_EARTH, sizeof(g_VSOP87C_Z_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_EARTH.data(), g_VSOP87C_Z_EARTH.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_JUP.cpp b/Sources/AAPlus/AAVSOP87C_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87C_JUP.cpp rename to Sources/AAPlus/AAVSOP87C_JUP.cpp index 11e056f..27b1249 --- a/Vendor/AA+/1.6.3/AAVSOP87C_JUP.cpp +++ b/Sources/AAPlus/AAVSOP87C_JUP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_JUPITER +{ { { 5.19591755961, 0.59954672200, 529.93478257810 }, { 0.37839498798, 3.39164799011, 0.24381748350 }, { 0.12593400247, 0.94916456487, 1059.62574767270 }, @@ -1304,10 +1310,10 @@ const VSOP87Coefficient g_VSOP87C_X0_JUPITER[] = { 0.00000000472, 5.64551789445, 416.53251340600 }, { 0.00000000491, 2.66310290421, 601.53498740770 }, { 0.00000000476, 0.29096139335, 2015.42726867629 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_JUPITER[] = -{ +constexpr array g_VSOP87C_X1_JUPITER +{ { { 0.01912556490, 4.23275123829, 0.24381748350 }, { 0.00634902259, 0.10706507632, 1059.62574767270 }, { 0.00600483021, 2.42939944495, 522.82123557730 }, @@ -1946,10 +1952,10 @@ const VSOP87Coefficient g_VSOP87C_X1_JUPITER[] = { 0.00000000379, 5.06316213675, 9676.72485159910 }, { 0.00000000372, 1.50891676381, 3273.88120030190 }, { 0.00000000372, 4.65050941740, 3274.36883526891 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_JUPITER[] = -{ +constexpr array g_VSOP87C_X2_JUPITER +{ { { 0.00202462055, 2.16872090770, 529.93478257810 }, { 0.00132313738, 5.46375601476, 0.24381748350 }, { 0.00123752958, 4.12933545743, 522.82123557730 }, @@ -2308,10 +2314,10 @@ const VSOP87Coefficient g_VSOP87C_X2_JUPITER[] = { 0.00000000530, 1.25410178254, 2221.61281711350 }, { 0.00000000443, 0.57624758775, 89.10949770051 }, { 0.00000000478, 5.10332943513, 2420.68481854989 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_JUPITER[] = -{ +constexpr array g_VSOP87C_X3_JUPITER +{ { { 0.00016990902, 5.84326964724, 522.82123557730 }, { 0.00016795793, 4.75643108252, 537.04832957890 }, { 0.00005535565, 0.69030286987, 0.24381748350 }, @@ -2502,10 +2508,10 @@ const VSOP87Coefficient g_VSOP87C_X3_JUPITER[] = { 0.00000000415, 6.25558191427, 501.48059457490 }, { 0.00000000413, 5.02515661889, 1883.88030645450 }, { 0.00000000436, 4.68517073519, 1464.88329754630 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_JUPITER[] = -{ +constexpr array g_VSOP87C_X4_JUPITER +{ { { 0.00001739145, 2.99660018877, 537.04832957890 }, { 0.00001740807, 1.29193923641, 522.82123557730 }, { 0.00000593812, 5.24154438099, 529.93478257810 }, @@ -2579,10 +2585,10 @@ const VSOP87Coefficient g_VSOP87C_X4_JUPITER[] = { 0.00000000451, 0.61581620782, 1471.99684454710 }, { 0.00000000466, 1.24608768657, 533.11617631580 }, { 0.00000000396, 3.90384143043, 1603.54380676890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_JUPITER[] = -{ +constexpr array g_VSOP87C_X5_JUPITER +{ { { 0.00000131509, 1.09720765135, 537.04832957890 }, { 0.00000126839, 3.14566028359, 522.82123557730 }, { 0.00000048033, 3.18247744923, 515.70768857651 }, @@ -2598,10 +2604,10 @@ const VSOP87Coefficient g_VSOP87C_X5_JUPITER[] = { 0.00000000886, 4.22728564482, 551.27542358051 }, { 0.00000000665, 1.57102457622, 7.35736448430 }, { 0.00000000466, 2.85877844081, 1596.43025976811 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_JUPITER[] = -{ +constexpr array g_VSOP87C_Y0_JUPITER +{ { { 5.19591755961, 5.31193570238, 529.93478257810 }, { 0.37839498798, 1.82085166331, 0.24381748350 }, { 0.12593400247, 5.66155354525, 1059.62574767270 }, @@ -3874,10 +3880,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_JUPITER[] = { 0.00000000472, 0.93312891407, 416.53251340600 }, { 0.00000000491, 1.09230657741, 601.53498740770 }, { 0.00000000476, 1.86175772015, 2015.42726867629 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_JUPITER[] = -{ +constexpr array g_VSOP87C_Y1_JUPITER +{ { { 0.01912556490, 2.66195491149, 0.24381748350 }, { 0.00634902259, 4.81945405671, 1059.62574767270 }, { 0.00600483021, 0.85860311815, 522.82123557730 }, @@ -4516,10 +4522,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_JUPITER[] = { 0.00000000379, 3.49236580995, 9676.72485159910 }, { 0.00000000372, 3.07971309061, 3273.88120030190 }, { 0.00000000372, 3.07971309060, 3274.36883526891 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_JUPITER[] = -{ +constexpr array g_VSOP87C_Y2_JUPITER +{ { { 0.00202462055, 0.59792458091, 529.93478257810 }, { 0.00132313738, 3.89295968796, 0.24381748350 }, { 0.00123752958, 2.55853913064, 522.82123557730 }, @@ -4878,10 +4884,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_JUPITER[] = { 0.00000000530, 2.82489810933, 2221.61281711350 }, { 0.00000000443, 5.28863656813, 89.10949770051 }, { 0.00000000478, 0.39094045474, 2420.68481854989 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_JUPITER[] = -{ +constexpr array g_VSOP87C_Y3_JUPITER +{ { { 0.00016990902, 4.27247332045, 522.82123557730 }, { 0.00016795793, 3.18563475573, 537.04832957890 }, { 0.00005535565, 5.40269185025, 0.24381748350 }, @@ -5072,10 +5078,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_JUPITER[] = { 0.00000000415, 4.68478558747, 501.48059457490 }, { 0.00000000413, 0.31276763851, 1883.88030645450 }, { 0.00000000436, 3.11437440839, 1464.88329754630 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_JUPITER[] = -{ +constexpr array g_VSOP87C_Y4_JUPITER +{ { { 0.00001739145, 1.42580386197, 537.04832957890 }, { 0.00001740807, 6.00432821679, 522.82123557730 }, { 0.00000593812, 3.67074805419, 529.93478257810 }, @@ -5149,10 +5155,10 @@ const VSOP87Coefficient g_VSOP87C_Y4_JUPITER[] = { 0.00000000451, 5.32820518820, 1471.99684454710 }, { 0.00000000466, 5.95847666696, 533.11617631580 }, { 0.00000000396, 2.33304510363, 1603.54380676890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_JUPITER[] = -{ +constexpr array g_VSOP87C_Y5_JUPITER +{ { { 0.00000131509, 5.80959663173, 537.04832957890 }, { 0.00000126839, 1.57486395680, 522.82123557730 }, { 0.00000048033, 1.61168112243, 515.70768857651 }, @@ -5168,10 +5174,10 @@ const VSOP87Coefficient g_VSOP87C_Y5_JUPITER[] = { 0.00000000886, 2.65648931803, 551.27542358051 }, { 0.00000000665, 0.00022824942, 7.35736448430 }, { 0.00000000466, 1.28798211401, 1596.43025976811 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_JUPITER[] = -{ +constexpr array g_VSOP87C_Z0_JUPITER +{ { { 0.11823100489, 3.55844646343, 529.69096509460 }, { 0.00859031952, 0.00000000000, 0.00000000000 }, { 0.00286562094, 3.90812238338, 1059.38193018920 }, @@ -5388,10 +5394,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_JUPITER[] = { 0.00000000927, 4.91765336511, 1593.00504854690 }, { 0.00000000826, 5.05738343335, 2847.52682690940 }, { 0.00000000738, 0.70435921398, 522.52923398400 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_JUPITER[] = -{ +constexpr array g_VSOP87C_Z1_JUPITER +{ { { 0.00922338114, 5.70129376981, 529.69096509460 }, { 0.00016158151, 5.47088355549, 522.57741809380 }, { 0.00011443757, 4.73284385916, 536.80451209540 }, @@ -5516,10 +5522,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_JUPITER[] = { 0.00000000398, 4.50217443276, 2008.55753915900 }, { 0.00000000375, 1.90578907085, 528.94020556920 }, { 0.00000000374, 5.57619428876, 530.44172462000 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_JUPITER[] = -{ +constexpr array g_VSOP87C_Z2_JUPITER +{ { { 0.00042203037, 1.45965899387, 529.69096509460 }, { 0.00006345355, 3.14159265359, 0.00000000000 }, { 0.00003895469, 0.95407663893, 522.57741809380 }, @@ -5588,10 +5594,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_JUPITER[] = { 0.00000000530, 1.07172768238, 1692.16566950240 }, { 0.00000000491, 1.99562035757, 1368.66025284500 }, { 0.00000000470, 0.26830712431, 1272.68102562720 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_JUPITER[] = -{ +constexpr array g_VSOP87C_Z3_JUPITER +{ { { 0.00001302949, 3.38307505290, 529.69096509460 }, { 0.00000638849, 2.73076320051, 522.57741809380 }, { 0.00000252188, 1.03735897029, 536.80451209540 }, @@ -5631,10 +5637,10 @@ const VSOP87Coefficient g_VSOP87C_Z3_JUPITER[] = { 0.00000000512, 5.55216613299, 433.71173787680 }, { 0.00000000459, 3.26874502411, 213.29909543800 }, { 0.00000000401, 2.27671168160, 1162.47470440780 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_JUPITER[] = -{ +constexpr array g_VSOP87C_Z4_JUPITER +{ { { 0.00000078889, 4.52764322985, 522.57741809380 }, { 0.00000028644, 4.45318845059, 529.69096509460 }, { 0.00000026536, 0.00000000000, 0.00000000000 }, @@ -5646,77 +5652,76 @@ const VSOP87Coefficient g_VSOP87C_Z4_JUPITER[] = { 0.00000000957, 6.25072054635, 1066.49547719000 }, { 0.00000000722, 3.64496080495, 1059.38193018920 }, { 0.00000000582, 1.16718383135, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_JUPITER[] = -{ +constexpr array g_VSOP87C_Z5_JUPITER +{ { { 0.00000007519, 0.09198554072, 522.57741809380 }, { 0.00000001913, 0.00874408003, 515.46387109300 }, { 0.00000001582, 3.27902945138, 536.80451209540 }, { 0.00000000704, 0.27563461391, 529.69096509460 }, { 0.00000000495, 1.29305954542, 543.91805909620 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_JUPITER[] = -{ - { g_VSOP87C_X0_JUPITER, sizeof(g_VSOP87C_X0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_JUPITER, sizeof(g_VSOP87C_X1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_JUPITER, sizeof(g_VSOP87C_X2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_JUPITER, sizeof(g_VSOP87C_X3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_JUPITER, sizeof(g_VSOP87C_X4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_JUPITER, sizeof(g_VSOP87C_X5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_JUPITER +{ { + { g_VSOP87C_X0_JUPITER.data(), g_VSOP87C_X0_JUPITER.size() }, + { g_VSOP87C_X1_JUPITER.data(), g_VSOP87C_X1_JUPITER.size() }, + { g_VSOP87C_X2_JUPITER.data(), g_VSOP87C_X2_JUPITER.size() }, + { g_VSOP87C_X3_JUPITER.data(), g_VSOP87C_X3_JUPITER.size() }, + { g_VSOP87C_X4_JUPITER.data(), g_VSOP87C_X4_JUPITER.size() }, + { g_VSOP87C_X5_JUPITER.data(), g_VSOP87C_X5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_JUPITER[] = -{ - { g_VSOP87C_Y0_JUPITER, sizeof(g_VSOP87C_Y0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_JUPITER, sizeof(g_VSOP87C_Y1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_JUPITER, sizeof(g_VSOP87C_Y2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_JUPITER, sizeof(g_VSOP87C_Y3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_JUPITER, sizeof(g_VSOP87C_Y4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_JUPITER, sizeof(g_VSOP87C_Y5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_JUPITER +{ { + { g_VSOP87C_Y0_JUPITER.data(), g_VSOP87C_Y0_JUPITER.size() }, + { g_VSOP87C_Y1_JUPITER.data(), g_VSOP87C_Y1_JUPITER.size() }, + { g_VSOP87C_Y2_JUPITER.data(), g_VSOP87C_Y2_JUPITER.size() }, + { g_VSOP87C_Y3_JUPITER.data(), g_VSOP87C_Y3_JUPITER.size() }, + { g_VSOP87C_Y4_JUPITER.data(), g_VSOP87C_Y4_JUPITER.size() }, + { g_VSOP87C_Y5_JUPITER.data(), g_VSOP87C_Y5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_JUPITER[] = -{ - { g_VSOP87C_Z0_JUPITER, sizeof(g_VSOP87C_Z0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_JUPITER, sizeof(g_VSOP87C_Z1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_JUPITER, sizeof(g_VSOP87C_Z2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_JUPITER, sizeof(g_VSOP87C_Z3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_JUPITER, sizeof(g_VSOP87C_Z4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_JUPITER, sizeof(g_VSOP87C_Z5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_JUPITER +{ { + { g_VSOP87C_Z0_JUPITER.data(), g_VSOP87C_Z0_JUPITER.size() }, + { g_VSOP87C_Z1_JUPITER.data(), g_VSOP87C_Z1_JUPITER.size() }, + { g_VSOP87C_Z2_JUPITER.data(), g_VSOP87C_Z2_JUPITER.size() }, + { g_VSOP87C_Z3_JUPITER.data(), g_VSOP87C_Z3_JUPITER.size() }, + { g_VSOP87C_Z4_JUPITER.data(), g_VSOP87C_Z4_JUPITER.size() }, + { g_VSOP87C_Z5_JUPITER.data(), g_VSOP87C_Z5_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Jupiter::X(double JD) +double CAAVSOP87C_Jupiter::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_JUPITER, sizeof(g_VSOP87C_X_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_JUPITER.data(), g_VSOP87C_X_JUPITER.size(), false); } -double CAAVSOP87C_Jupiter::X_DASH(double JD) +double CAAVSOP87C_Jupiter::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_JUPITER, sizeof(g_VSOP87C_X_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_JUPITER.data(), g_VSOP87C_X_JUPITER.size()); } -double CAAVSOP87C_Jupiter::Y(double JD) +double CAAVSOP87C_Jupiter::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_JUPITER, sizeof(g_VSOP87C_Y_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_JUPITER.data(), g_VSOP87C_Y_JUPITER.size(), false); } -double CAAVSOP87C_Jupiter::Y_DASH(double JD) +double CAAVSOP87C_Jupiter::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_JUPITER, sizeof(g_VSOP87C_Y_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_JUPITER.data(), g_VSOP87C_Y_JUPITER.size()); } -double CAAVSOP87C_Jupiter::Z(double JD) +double CAAVSOP87C_Jupiter::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_JUPITER, sizeof(g_VSOP87C_Z_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_JUPITER.data(), g_VSOP87C_Z_JUPITER.size(), false); } -double CAAVSOP87C_Jupiter::Z_DASH(double JD) +double CAAVSOP87C_Jupiter::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_JUPITER, sizeof(g_VSOP87C_Z_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_JUPITER.data(), g_VSOP87C_Z_JUPITER.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_MAR.cpp b/Sources/AAPlus/AAVSOP87C_MAR.cpp old mode 100755 new mode 100644 similarity index 98% rename from Vendor/AA+/1.6.3/AAVSOP87C_MAR.cpp rename to Sources/AAPlus/AAVSOP87C_MAR.cpp index b325803..6e03697 --- a/Vendor/AA+/1.6.3/AAVSOP87C_MAR.cpp +++ b/Sources/AAPlus/AAVSOP87C_MAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_MARS +{ { { 1.51664432758, 6.20347631684, 3340.85624418330 }, { 0.21337343470, 2.72390342700, 0.24381748350 }, { 0.07067734657, 0.25841679630, 6681.46867088311 }, @@ -1939,10 +1945,10 @@ const VSOP87Coefficient g_VSOP87C_X0_MARS[] = { 0.00000000060, 4.38893033458, 1368.41643536150 }, { 0.00000000061, 4.63971906183, 1118.99960958630 }, { 0.00000000067, 5.86396730577, 13366.28395293450 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_MARS[] = -{ +constexpr array g_VSOP87C_X1_MARS +{ { { 0.01668487239, 4.16976892466, 0.24381748350 }, { 0.00551520815, 5.09364818449, 6681.46867088311 }, { 0.00077122404, 5.43227875215, 10022.08109758290 }, @@ -2966,10 +2972,10 @@ const VSOP87Coefficient g_VSOP87C_X1_MARS[] = { 0.00000000051, 5.06339472166, 102.84895673509 }, { 0.00000000045, 1.82993488286, 2715.18605187090 }, { 0.00000000045, 1.15223938219, 3966.52643649571 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_MARS[] = -{ +constexpr array g_VSOP87C_X2_MARS +{ { { 0.00068999338, 5.55726456394, 0.24381748350 }, { 0.00082190105, 1.49108837587, 3340.85624418330 }, { 0.00021826465, 3.36498183687, 6681.46867088311 }, @@ -3481,10 +3487,10 @@ const VSOP87Coefficient g_VSOP87C_X2_MARS[] = { 0.00000000020, 3.19548468220, 33319.05987994170 }, { 0.00000000015, 2.57021608840, 17277.65074931730 }, { 0.00000000020, 5.73090127884, 20043.43074271529 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_MARS[] = -{ +constexpr array g_VSOP87C_X3_MARS +{ { { 0.00001905181, 0.55093544444, 0.24381748350 }, { 0.00000638154, 1.43815993842, 6681.46867088311 }, { 0.00000315844, 2.25892403607, 10022.08109758290 }, @@ -3677,10 +3683,10 @@ const VSOP87Coefficient g_VSOP87C_X3_MARS[] = { 0.00000000010, 4.75162534448, 12302.82395912650 }, { 0.00000000009, 4.40822524545, 6684.50415426510 }, { 0.00000000008, 5.21609653228, 2273.87313202630 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_MARS[] = -{ +constexpr array g_VSOP87C_X4_MARS +{ { { 0.00000174339, 4.50461485471, 3340.85624418330 }, { 0.00000065332, 1.45277537677, 0.24381748350 }, { 0.00000021612, 5.47577416210, 6681.46867088311 }, @@ -3762,10 +3768,10 @@ const VSOP87Coefficient g_VSOP87C_X4_MARS[] = { 0.00000000004, 5.79414027536, 398.39282089170 }, { 0.00000000003, 6.01492767118, 3870.54720927791 }, { 0.00000000003, 5.81270604686, 7633.18707713370 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_MARS[] = -{ +constexpr array g_VSOP87C_X5_MARS +{ { { 0.00000002822, 2.53736821761, 0.24381748350 }, { 0.00000001310, 4.62457430290, 3340.85624418330 }, { 0.00000000954, 3.55909372543, 6681.46867088311 }, @@ -3792,10 +3798,10 @@ const VSOP87Coefficient g_VSOP87C_X5_MARS[] = { 0.00000000006, 0.04415481578, 6684.99178923210 }, { 0.00000000005, 0.78203649698, 23384.53080438210 }, { 0.00000000004, 1.85425114024, 6438.74006690910 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_MARS[] = -{ +constexpr array g_VSOP87C_Y0_MARS +{ { { 1.51664432758, 4.63267999004, 3340.85624418330 }, { 0.21337343470, 1.15310710021, 0.24381748350 }, { 0.07067734657, 4.97080577669, 6681.46867088311 }, @@ -5703,10 +5709,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_MARS[] = { 0.00000000060, 5.95972666137, 1368.41643536150 }, { 0.00000000061, 3.06892273504, 1118.99960958630 }, { 0.00000000067, 4.29317097897, 13366.28395293450 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_MARS[] = -{ +constexpr array g_VSOP87C_Y1_MARS +{ { { 0.01668487239, 2.59897259786, 0.24381748350 }, { 0.00551520815, 3.52285185770, 6681.46867088311 }, { 0.00077122404, 3.86148242536, 10022.08109758290 }, @@ -6730,10 +6736,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_MARS[] = { 0.00000000051, 0.35100574128, 102.84895673509 }, { 0.00000000045, 0.25913855607, 2715.18605187090 }, { 0.00000000045, 5.86462836257, 3966.52643649571 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_MARS[] = -{ +constexpr array g_VSOP87C_Y2_MARS +{ { { 0.00068999338, 3.98646823714, 0.24381748350 }, { 0.00082190105, 6.20347735626, 3340.85624418330 }, { 0.00021826465, 1.79418551007, 6681.46867088311 }, @@ -7245,10 +7251,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_MARS[] = { 0.00000000020, 1.62468835541, 33319.05987994170 }, { 0.00000000015, 0.99941976160, 17277.65074931730 }, { 0.00000000020, 1.01851229845, 20043.43074271529 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_MARS[] = -{ +constexpr array g_VSOP87C_Y3_MARS +{ { { 0.00001905181, 5.26332442482, 0.24381748350 }, { 0.00000638154, 6.15054891881, 6681.46867088311 }, { 0.00000315844, 0.68812770928, 10022.08109758290 }, @@ -7441,10 +7447,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_MARS[] = { 0.00000000010, 0.03923636410, 12302.82395912650 }, { 0.00000000009, 5.97902157224, 6684.50415426510 }, { 0.00000000008, 0.50370755190, 2273.87313202630 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_MARS[] = -{ +constexpr array g_VSOP87C_Y4_MARS +{ { { 0.00000174339, 2.93381852792, 3340.85624418330 }, { 0.00000065332, 6.16516435716, 0.24381748350 }, { 0.00000021612, 3.90497783530, 6681.46867088311 }, @@ -7526,10 +7532,10 @@ const VSOP87Coefficient g_VSOP87C_Y4_MARS[] = { 0.00000000004, 4.22334394857, 398.39282089170 }, { 0.00000000003, 4.44413134438, 3870.54720927791 }, { 0.00000000003, 4.24190972006, 7633.18707713370 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_MARS[] = -{ +constexpr array g_VSOP87C_Y5_MARS +{ { { 0.00000002822, 0.96657189081, 0.24381748350 }, { 0.00000001310, 3.05377797611, 3340.85624418330 }, { 0.00000000954, 1.98829739864, 6681.46867088311 }, @@ -7556,10 +7562,10 @@ const VSOP87Coefficient g_VSOP87C_Y5_MARS[] = { 0.00000000006, 4.75654379617, 6684.99178923210 }, { 0.00000000005, 5.49442547736, 23384.53080438210 }, { 0.00000000004, 0.28345481344, 6438.74006690910 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_MARS[] = -{ +constexpr array g_VSOP87C_Z0_MARS +{ { { 0.04901207220, 3.76712324286, 3340.61242669980 }, { 0.00660669541, 0.00000000000, 0.00000000000 }, { 0.00228333904, 4.10544022266, 6681.22485339960 }, @@ -7915,10 +7921,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_MARS[] = { 0.00000000107, 3.59856046864, 5989.06725217280 }, { 0.00000000106, 5.69966166034, 33561.54466643220 }, { 0.00000000105, 3.97375976080, 9380.95967271720 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_MARS[] = -{ +constexpr array g_VSOP87C_Z1_MARS +{ { { 0.00533220761, 5.37045188878, 3340.61242669980 }, { 0.00032258788, 3.14159265359, 0.00000000000 }, { 0.00007302119, 5.48197049223, 6681.22485339960 }, @@ -8171,10 +8177,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_MARS[] = { 0.00000000038, 0.87141658782, 3973.39616601300 }, { 0.00000000040, 3.89104366040, 74.78159856730 }, { 0.00000000028, 3.07347183013, 3281.23856478620 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_MARS[] = -{ +constexpr array g_VSOP87C_Z2_MARS +{ { { 0.00025937973, 0.59444055009, 3340.61242669980 }, { 0.00011396105, 3.14159265359, 0.00000000000 }, { 0.00000237211, 5.64509583638, 6681.22485339960 }, @@ -8308,10 +8314,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_MARS[] = { 0.00000000014, 3.08467357092, 3503.07906283200 }, { 0.00000000014, 4.02054439730, 3316.73398895200 }, { 0.00000000014, 2.10530552076, 3364.49086444760 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_MARS[] = -{ +constexpr array g_VSOP87C_Z3_MARS +{ { { 0.00000897035, 1.98437168368, 3340.61242669980 }, { 0.00000097387, 0.00000000000, 0.00000000000 }, { 0.00000008489, 1.73419562297, 6681.22485339960 }, @@ -8368,10 +8374,10 @@ const VSOP87Coefficient g_VSOP87C_Z3_MARS[] = { 0.00000000007, 5.43009944036, 4933.20844033260 }, { 0.00000000007, 2.19921948725, 6438.49624942560 }, { 0.00000000009, 3.04008808528, 7.11354700080 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_MARS[] = -{ +constexpr array g_VSOP87C_Z4_MARS +{ { { 0.00000030554, 0.00000000000, 0.00000000000 }, { 0.00000019442, 3.44959674542, 3340.61242669980 }, { 0.00000000371, 0.36613555151, 6681.22485339960 }, @@ -8392,10 +8398,10 @@ const VSOP87Coefficient g_VSOP87C_Z4_MARS[] = { 0.00000000004, 5.61196522691, 4292.33083295040 }, { 0.00000000004, 4.54689889636, 2942.46342329160 }, { 0.00000000005, 2.79859082923, 13362.44970679920 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_MARS[] = -{ +constexpr array g_VSOP87C_Z5_MARS +{ { { 0.00000000597, 4.83347154755, 3340.61242669980 }, { 0.00000000028, 5.25340658633, 6681.22485339960 }, { 0.00000000021, 4.17736925293, 3496.03282613400 }, @@ -8403,68 +8409,67 @@ const VSOP87Coefficient g_VSOP87C_Z5_MARS[] = { 0.00000000006, 5.72895319056, 10021.83728009940 }, { 0.00000000002, 0.08188351604, 16703.06213349900 }, { 0.00000000003, 0.40135650339, 3185.19202726560 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_MARS[] = -{ - { g_VSOP87C_X0_MARS, sizeof(g_VSOP87C_X0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_MARS, sizeof(g_VSOP87C_X1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_MARS, sizeof(g_VSOP87C_X2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_MARS, sizeof(g_VSOP87C_X3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_MARS, sizeof(g_VSOP87C_X4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_MARS, sizeof(g_VSOP87C_X5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_MARS +{ { + { g_VSOP87C_X0_MARS.data(), g_VSOP87C_X0_MARS.size() }, + { g_VSOP87C_X1_MARS.data(), g_VSOP87C_X1_MARS.size() }, + { g_VSOP87C_X2_MARS.data(), g_VSOP87C_X2_MARS.size() }, + { g_VSOP87C_X3_MARS.data(), g_VSOP87C_X3_MARS.size() }, + { g_VSOP87C_X4_MARS.data(), g_VSOP87C_X4_MARS.size() }, + { g_VSOP87C_X5_MARS.data(), g_VSOP87C_X5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_MARS[] = -{ - { g_VSOP87C_Y0_MARS, sizeof(g_VSOP87C_Y0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_MARS, sizeof(g_VSOP87C_Y1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_MARS, sizeof(g_VSOP87C_Y2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_MARS, sizeof(g_VSOP87C_Y3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_MARS, sizeof(g_VSOP87C_Y4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_MARS, sizeof(g_VSOP87C_Y5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_MARS +{ { + { g_VSOP87C_Y0_MARS.data(), g_VSOP87C_Y0_MARS.size() }, + { g_VSOP87C_Y1_MARS.data(), g_VSOP87C_Y1_MARS.size() }, + { g_VSOP87C_Y2_MARS.data(), g_VSOP87C_Y2_MARS.size() }, + { g_VSOP87C_Y3_MARS.data(), g_VSOP87C_Y3_MARS.size() }, + { g_VSOP87C_Y4_MARS.data(), g_VSOP87C_Y4_MARS.size() }, + { g_VSOP87C_Y5_MARS.data(), g_VSOP87C_Y5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_MARS[] = -{ - { g_VSOP87C_Z0_MARS, sizeof(g_VSOP87C_Z0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_MARS, sizeof(g_VSOP87C_Z1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_MARS, sizeof(g_VSOP87C_Z2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_MARS, sizeof(g_VSOP87C_Z3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_MARS, sizeof(g_VSOP87C_Z4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_MARS, sizeof(g_VSOP87C_Z5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_MARS +{ { + { g_VSOP87C_Z0_MARS.data(), g_VSOP87C_Z0_MARS.size() }, + { g_VSOP87C_Z1_MARS.data(), g_VSOP87C_Z1_MARS.size() }, + { g_VSOP87C_Z2_MARS.data(), g_VSOP87C_Z2_MARS.size() }, + { g_VSOP87C_Z3_MARS.data(), g_VSOP87C_Z3_MARS.size() }, + { g_VSOP87C_Z4_MARS.data(), g_VSOP87C_Z4_MARS.size() }, + { g_VSOP87C_Z5_MARS.data(), g_VSOP87C_Z5_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Mars::X(double JD) +double CAAVSOP87C_Mars::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_MARS, sizeof(g_VSOP87C_X_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_MARS.data(), g_VSOP87C_X_MARS.size(), false); } -double CAAVSOP87C_Mars::X_DASH(double JD) +double CAAVSOP87C_Mars::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_MARS, sizeof(g_VSOP87C_X_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_MARS.data(), g_VSOP87C_X_MARS.size()); } -double CAAVSOP87C_Mars::Y(double JD) +double CAAVSOP87C_Mars::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_MARS, sizeof(g_VSOP87C_Y_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_MARS.data(), g_VSOP87C_Y_MARS.size(), false); } -double CAAVSOP87C_Mars::Y_DASH(double JD) +double CAAVSOP87C_Mars::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_MARS, sizeof(g_VSOP87C_Y_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_MARS.data(), g_VSOP87C_Y_MARS.size()); } -double CAAVSOP87C_Mars::Z(double JD) +double CAAVSOP87C_Mars::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_MARS, sizeof(g_VSOP87C_Z_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_MARS.data(), g_VSOP87C_Z_MARS.size(), false); } -double CAAVSOP87C_Mars::Z_DASH(double JD) +double CAAVSOP87C_Mars::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_MARS, sizeof(g_VSOP87C_Z_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_MARS.data(), g_VSOP87C_Z_MARS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_MER.cpp b/Sources/AAPlus/AAVSOP87C_MER.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87C_MER.cpp rename to Sources/AAPlus/AAVSOP87C_MER.cpp index 1c72812..3ca3cbf --- a/Vendor/AA+/1.6.3/AAVSOP87C_MER.cpp +++ b/Sources/AAPlus/AAVSOP87C_MER.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_MERCURY +{ { { 0.37749277893, 4.40259139579, 26088.14695905770 }, { 0.11918926148, 4.49027758439, 0.24381748350 }, { 0.03840153904, 1.17015646101, 52176.05010063190 }, @@ -1885,10 +1891,10 @@ const VSOP87Coefficient g_VSOP87C_X0_MERCURY[] = { 0.00000000001, 2.62468643294, 50807.38984778689 }, { 0.00000000001, 6.16306543539, 78187.19953596349 }, { 0.00000000002, 5.06371993416, 51472.41691601449 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_MERCURY[] = -{ +constexpr array g_VSOP87C_X1_MERCURY +{ { { 0.00328639517, 6.04028758995, 0.24381748350 }, { 0.00106107047, 5.91538469937, 52176.05010063190 }, { 0.00032448440, 2.68404164136, 78263.95324220609 }, @@ -2912,10 +2918,10 @@ const VSOP87Coefficient g_VSOP87C_X1_MERCURY[] = { 0.00000000001, 1.59903474540, 89586.12970554348 }, { 0.00000000001, 3.74413194011, 131394.87163199607 }, { 0.00000000001, 0.61669479944, 77039.64776646046 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_MERCURY[] = -{ +constexpr array g_VSOP87C_X2_MERCURY +{ { { 0.00020000263, 5.96893489541, 26088.14695905770 }, { 0.00008268782, 0.41593027178, 0.24381748350 }, { 0.00002498175, 3.38864668295, 52176.05010063190 }, @@ -3329,10 +3335,10 @@ const VSOP87Coefficient g_VSOP87C_X2_MERCURY[] = { 0.00000000000, 1.99592158964, 78903.85052852010 }, { 0.00000000000, 0.06549387620, 44936.88687406489 }, { 0.00000000000, 4.55067254270, 286966.69073983253 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_MERCURY[] = -{ +constexpr array g_VSOP87C_X3_MERCURY +{ { { 0.00000180660, 1.53524873089, 0.24381748350 }, { 0.00000056109, 1.50368825372, 52176.05010063190 }, { 0.00000023909, 5.09285389011, 78263.95324220609 }, @@ -3468,10 +3474,10 @@ const VSOP87Coefficient g_VSOP87C_X3_MERCURY[] = { 0.00000000000, 3.64742441695, 105411.23831396949 }, { 0.00000000000, 2.56174511433, 103292.47445359109 }, { 0.00000000000, 3.50117859238, 23868.90221990390 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_MERCURY[] = -{ +constexpr array g_VSOP87C_X4_MERCURY +{ { { 0.00000043303, 2.70854317703, 26088.14695905770 }, { 0.00000016746, 2.85109602051, 0.24381748350 }, { 0.00000005097, 5.82035608585, 52176.05010063190 }, @@ -3514,10 +3520,10 @@ const VSOP87Coefficient g_VSOP87C_X4_MERCURY[] = { 0.00000000000, 3.35368510638, 27043.74670066630 }, { 0.00000000000, 4.71304947972, 529.93478257810 }, { 0.00000000000, 5.15326778299, 57837.38214978410 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_MERCURY[] = -{ +constexpr array g_VSOP87C_X5_MERCURY +{ { { 0.00000000414, 4.09017660105, 0.24381748350 }, { 0.00000000327, 2.83894329980, 26088.14695905770 }, { 0.00000000134, 4.51536199764, 52176.05010063190 }, @@ -3534,10 +3540,10 @@ const VSOP87Coefficient g_VSOP87C_X5_MERCURY[] = { 0.00000000000, 3.92135630671, 104351.36874881329 }, { 0.00000000000, 1.30030594321, 24978.76840696430 }, { 0.00000000000, 0.96944549328, 27197.52551115110 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_MERCURY[] = -{ +constexpr array g_VSOP87C_Y0_MERCURY +{ { { 0.37749277893, 2.83179506899, 26088.14695905770 }, { 0.11918926148, 2.91948125760, 0.24381748350 }, { 0.03840153904, 5.88254544140, 52176.05010063190 }, @@ -5391,10 +5397,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_MERCURY[] = { 0.00000000001, 1.05389010615, 50807.38984778689 }, { 0.00000000001, 1.45067645500, 78187.19953596349 }, { 0.00000000002, 3.49292360736, 51472.41691601449 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_MERCURY[] = -{ +constexpr array g_VSOP87C_Y1_MERCURY +{ { { 0.00328639517, 4.46949126315, 0.24381748350 }, { 0.00106107047, 4.34458837257, 52176.05010063190 }, { 0.00032448440, 1.11324531456, 78263.95324220609 }, @@ -6418,10 +6424,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_MERCURY[] = { 0.00000000001, 3.16983107219, 89586.12970554348 }, { 0.00000000001, 5.31492826690, 131394.87163199607 }, { 0.00000000001, 2.18749112623, 77039.64776646046 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_MERCURY[] = -{ +constexpr array g_VSOP87C_Y2_MERCURY +{ { { 0.00020000263, 4.39813856862, 26088.14695905770 }, { 0.00008268782, 5.12831925217, 0.24381748350 }, { 0.00002498175, 1.81785035615, 52176.05010063190 }, @@ -6835,10 +6841,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_MERCURY[] = { 0.00000000000, 0.42512526285, 78903.85052852010 }, { 0.00000000000, 1.63629020299, 44936.88687406489 }, { 0.00000000000, 6.12146886950, 286966.69073983253 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_MERCURY[] = -{ +constexpr array g_VSOP87C_Y3_MERCURY +{ { { 0.00000180660, 6.24763771127, 0.24381748350 }, { 0.00000056109, 6.21607723411, 52176.05010063190 }, { 0.00000023909, 3.52205756332, 78263.95324220609 }, @@ -6974,10 +6980,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_MERCURY[] = { 0.00000000000, 2.07662809015, 105411.23831396949 }, { 0.00000000000, 0.99094878754, 103292.47445359109 }, { 0.00000000000, 5.07197491918, 23868.90221990390 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_MERCURY[] = -{ +constexpr array g_VSOP87C_Y4_MERCURY +{ { { 0.00000043303, 1.13774685024, 26088.14695905770 }, { 0.00000016746, 1.28029969371, 0.24381748350 }, { 0.00000005097, 4.24955975906, 52176.05010063190 }, @@ -7020,10 +7026,10 @@ const VSOP87Coefficient g_VSOP87C_Y4_MERCURY[] = { 0.00000000000, 1.78288877958, 27043.74670066630 }, { 0.00000000000, 3.14225315293, 529.93478257810 }, { 0.00000000000, 3.58247145620, 57837.38214978410 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_MERCURY[] = -{ +constexpr array g_VSOP87C_Y5_MERCURY +{ { { 0.00000000414, 2.51938027426, 0.24381748350 }, { 0.00000000327, 1.26814697300, 26088.14695905770 }, { 0.00000000134, 2.94456567084, 52176.05010063190 }, @@ -7040,10 +7046,10 @@ const VSOP87Coefficient g_VSOP87C_Y5_MERCURY[] = { 0.00000000000, 5.49215263350, 104351.36874881329 }, { 0.00000000000, 6.01269492359, 24978.76840696430 }, { 0.00000000000, 5.68183447366, 27197.52551115110 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_MERCURY[] = -{ +constexpr array g_VSOP87C_Z0_MERCURY +{ { { 0.04607665326, 1.99295081967, 26087.90314157420 }, { 0.00708734365, 3.14159265359, 0.00000000000 }, { 0.00469171617, 5.04215742764, 52175.80628314840 }, @@ -7642,10 +7648,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_MERCURY[] = { 0.00000000003, 2.24128507678, 78160.61665050399 }, { 0.00000000003, 1.67457691866, 182188.72380014337 }, { 0.00000000003, 1.36021422148, 136722.59155786238 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_MERCURY[] = -{ +constexpr array g_VSOP87C_Z1_MERCURY +{ { { 0.00172388569, 3.47961470688, 26087.90314157420 }, { 0.00084745328, 3.14159265359, 0.00000000000 }, { 0.00004790619, 6.21921644635, 52175.80628314840 }, @@ -8006,10 +8012,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_MERCURY[] = { 0.00000000001, 2.22421236230, 25984.81036735560 }, { 0.00000000001, 4.51546243970, 48835.19385644859 }, { 0.00000000001, 3.61219119527, 131395.11544947958 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_MERCURY[] = -{ +constexpr array g_VSOP87C_Z2_MERCURY +{ { { 0.00004475377, 4.81703460547, 26087.90314157420 }, { 0.00001109532, 0.00000000000, 0.00000000000 }, { 0.00000180327, 1.19420644188, 52175.80628314840 }, @@ -8177,10 +8183,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_MERCURY[] = { 0.00000000001, 0.17150693291, 433.71173787680 }, { 0.00000000000, 2.10468974660, 25619.93815121980 }, { 0.00000000001, 5.16942669114, 77837.11123384659 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_MERCURY[] = -{ +constexpr array g_VSOP87C_Z3_MERCURY +{ { { 0.00000099250, 0.29443229590, 26087.90314157420 }, { 0.00000092976, 0.00000000000, 0.00000000000 }, { 0.00000003230, 4.02309993038, 52175.80628314840 }, @@ -8228,10 +8234,10 @@ const VSOP87Coefficient g_VSOP87C_Z3_MERCURY[] = { 0.00000000000, 1.30349643922, 51646.11531805379 }, { 0.00000000000, 3.55639554083, 53131.40602475700 }, { 0.00000000000, 1.15022684382, 25874.60404613620 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_MERCURY[] = -{ +constexpr array g_VSOP87C_Z4_MERCURY +{ { { 0.00000001500, 1.82376153122, 26087.90314157420 }, { 0.00000000592, 3.14159265359, 0.00000000000 }, { 0.00000000056, 3.48599666355, 52175.80628314840 }, @@ -8244,10 +8250,10 @@ const VSOP87Coefficient g_VSOP87C_Z4_MERCURY[] = { 0.00000000000, 4.64908450350, 27197.28169366760 }, { 0.00000000000, 1.37450705839, 234791.12827416777 }, { 0.00000000000, 1.42617733060, 24978.52458948080 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_MERCURY[] = -{ +constexpr array g_VSOP87C_Z5_MERCURY +{ { { 0.00000000045, 3.82268203713, 26087.90314157420 }, { 0.00000000043, 3.14159265359, 0.00000000000 }, { 0.00000000003, 1.05444326177, 52175.80628314840 }, @@ -8255,68 +8261,67 @@ const VSOP87Coefficient g_VSOP87C_Z5_MERCURY[] = { 0.00000000000, 1.68820918658, 104351.61256629678 }, { 0.00000000000, 5.41907824804, 130439.51570787099 }, { 0.00000000000, 2.90287004404, 156527.41884944518 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_MERCURY[] = -{ - { g_VSOP87C_X0_MERCURY, sizeof(g_VSOP87C_X0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_MERCURY, sizeof(g_VSOP87C_X1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_MERCURY, sizeof(g_VSOP87C_X2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_MERCURY, sizeof(g_VSOP87C_X3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_MERCURY, sizeof(g_VSOP87C_X4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_MERCURY, sizeof(g_VSOP87C_X5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_MERCURY +{ { + { g_VSOP87C_X0_MERCURY.data(), g_VSOP87C_X0_MERCURY.size() }, + { g_VSOP87C_X1_MERCURY.data(), g_VSOP87C_X1_MERCURY.size() }, + { g_VSOP87C_X2_MERCURY.data(), g_VSOP87C_X2_MERCURY.size() }, + { g_VSOP87C_X3_MERCURY.data(), g_VSOP87C_X3_MERCURY.size() }, + { g_VSOP87C_X4_MERCURY.data(), g_VSOP87C_X4_MERCURY.size() }, + { g_VSOP87C_X5_MERCURY.data(), g_VSOP87C_X5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_MERCURY[] = -{ - { g_VSOP87C_Y0_MERCURY, sizeof(g_VSOP87C_Y0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_MERCURY, sizeof(g_VSOP87C_Y1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_MERCURY, sizeof(g_VSOP87C_Y2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_MERCURY, sizeof(g_VSOP87C_Y3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_MERCURY, sizeof(g_VSOP87C_Y4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_MERCURY, sizeof(g_VSOP87C_Y5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_MERCURY +{ { + { g_VSOP87C_Y0_MERCURY.data(), g_VSOP87C_Y0_MERCURY.size() }, + { g_VSOP87C_Y1_MERCURY.data(), g_VSOP87C_Y1_MERCURY.size() }, + { g_VSOP87C_Y2_MERCURY.data(), g_VSOP87C_Y2_MERCURY.size() }, + { g_VSOP87C_Y3_MERCURY.data(), g_VSOP87C_Y3_MERCURY.size() }, + { g_VSOP87C_Y4_MERCURY.data(), g_VSOP87C_Y4_MERCURY.size() }, + { g_VSOP87C_Y5_MERCURY.data(), g_VSOP87C_Y5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_MERCURY[] = -{ - { g_VSOP87C_Z0_MERCURY, sizeof(g_VSOP87C_Z0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_MERCURY, sizeof(g_VSOP87C_Z1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_MERCURY, sizeof(g_VSOP87C_Z2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_MERCURY, sizeof(g_VSOP87C_Z3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_MERCURY, sizeof(g_VSOP87C_Z4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_MERCURY, sizeof(g_VSOP87C_Z5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_MERCURY +{ { + { g_VSOP87C_Z0_MERCURY.data(), g_VSOP87C_Z0_MERCURY.size() }, + { g_VSOP87C_Z1_MERCURY.data(), g_VSOP87C_Z1_MERCURY.size() }, + { g_VSOP87C_Z2_MERCURY.data(), g_VSOP87C_Z2_MERCURY.size() }, + { g_VSOP87C_Z3_MERCURY.data(), g_VSOP87C_Z3_MERCURY.size() }, + { g_VSOP87C_Z4_MERCURY.data(), g_VSOP87C_Z4_MERCURY.size() }, + { g_VSOP87C_Z5_MERCURY.data(), g_VSOP87C_Z5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Mercury::X(double JD) +double CAAVSOP87C_Mercury::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_MERCURY, sizeof(g_VSOP87C_X_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_MERCURY.data(), g_VSOP87C_X_MERCURY.size(), false); } -double CAAVSOP87C_Mercury::X_DASH(double JD) +double CAAVSOP87C_Mercury::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_MERCURY, sizeof(g_VSOP87C_X_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_MERCURY.data(), g_VSOP87C_X_MERCURY.size()); } -double CAAVSOP87C_Mercury::Y(double JD) +double CAAVSOP87C_Mercury::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_MERCURY, sizeof(g_VSOP87C_Y_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_MERCURY.data(), g_VSOP87C_Y_MERCURY.size(), false); } -double CAAVSOP87C_Mercury::Y_DASH(double JD) +double CAAVSOP87C_Mercury::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_MERCURY, sizeof(g_VSOP87C_Y_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_MERCURY.data(), g_VSOP87C_Y_MERCURY.size()); } -double CAAVSOP87C_Mercury::Z(double JD) +double CAAVSOP87C_Mercury::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_MERCURY, sizeof(g_VSOP87C_Z_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_MERCURY.data(), g_VSOP87C_Z_MERCURY.size(), false); } -double CAAVSOP87C_Mercury::Z_DASH(double JD) +double CAAVSOP87C_Mercury::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_MERCURY, sizeof(g_VSOP87C_Z_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_MERCURY.data(), g_VSOP87C_Z_MERCURY.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_NEP.cpp b/Sources/AAPlus/AAVSOP87C_NEP.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87C_NEP.cpp rename to Sources/AAPlus/AAVSOP87C_NEP.cpp index 75202a5..eac7785 --- a/Vendor/AA+/1.6.3/AAVSOP87C_NEP.cpp +++ b/Sources/AAPlus/AAVSOP87C_NEP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_NEPTUNE +{ { { 30.05973100580, 5.31188633083, 38.37685312130 }, { 0.40567587218, 3.98149970131, 0.24381748350 }, { 0.13506026414, 3.50055820972, 76.50988875911 }, @@ -853,10 +859,10 @@ const VSOP87Coefficient g_VSOP87C_X0_NEPTUNE[] = { 0.00000002232, 2.42168492591, 158.12984768129 }, { 0.00000002961, 4.37134416172, 286.35240381350 }, { 0.00000002961, 4.37134416172, 286.84003878050 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_NEPTUNE[] = -{ +constexpr array g_VSOP87C_X1_NEPTUNE +{ { { 0.00357822049, 4.60537437341, 0.24381748350 }, { 0.00256200629, 2.01693264233, 36.89238041300 }, { 0.00242677799, 5.46293481092, 39.86132582961 }, @@ -1199,10 +1205,10 @@ const VSOP87Coefficient g_VSOP87C_X1_NEPTUNE[] = { 0.00000002300, 0.62755545112, 986.05343516780 }, { 0.00000002199, 2.78438991669, 606.20085385370 }, { 0.00000002325, 3.26991047297, 109.70187130500 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_NEPTUNE[] = -{ +constexpr array g_VSOP87C_X2_NEPTUNE +{ { { 0.01620002167, 0.60038473142, 38.37685312130 }, { 0.00028138323, 5.58440767451, 0.24381748350 }, { 0.00012318619, 2.58513114618, 39.86132582961 }, @@ -1316,10 +1322,10 @@ const VSOP87Coefficient g_VSOP87C_X2_NEPTUNE[] = { 0.00000002327, 0.39474993260, 38.42503723110 }, { 0.00000002481, 5.56752927904, 655.17383907870 }, { 0.00000002569, 4.22623902188, 464.97504399731 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_NEPTUNE[] = -{ +constexpr array g_VSOP87C_X3_NEPTUNE +{ { { 0.00000985355, 0.69240373955, 38.37685312130 }, { 0.00000482798, 0.83271959724, 37.88921815429 }, { 0.00000416447, 0.37037561694, 0.24381748350 }, @@ -1357,10 +1363,10 @@ const VSOP87Coefficient g_VSOP87C_X3_NEPTUNE[] = { 0.00000002279, 4.63709500769, 458.81015062800 }, { 0.00000002147, 2.63611189369, 175.40987728371 }, { 0.00000002637, 3.63693499332, 73.54094334250 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_NEPTUNE[] = -{ +constexpr array g_VSOP87C_X4_NEPTUNE +{ { { 0.00003455306, 3.61464892215, 38.37685312130 }, { 0.00000047405, 2.21390996774, 0.24381748350 }, { 0.00000021936, 2.72972488197, 37.88921815429 }, @@ -1375,15 +1381,15 @@ const VSOP87Coefficient g_VSOP87C_X4_NEPTUNE[] = { 0.00000002981, 0.29920864811, 1.72829019180 }, { 0.00000002295, 0.13749342692, 220.65645992230 }, { 0.00000002296, 4.70646260044, 206.42936592071 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_NEPTUNE[] = -{ +constexpr array g_VSOP87C_X5_NEPTUNE +{ { { 0.00000026291, 3.71724730200, 38.37685312130 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y0_NEPTUNE +{ { { 30.05973100580, 3.74109000403, 38.37685312130 }, { 0.40567587218, 2.41070337452, 0.24381748350 }, { 0.13506026414, 1.92976188293, 76.50988875911 }, @@ -2205,10 +2211,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_NEPTUNE[] = { 0.00000002232, 3.99248125271, 158.12984768129 }, { 0.00000002961, 5.94214048852, 286.35240381350 }, { 0.00000002961, 2.80054783493, 286.84003878050 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y1_NEPTUNE +{ { { 0.00357822049, 3.03457804662, 0.24381748350 }, { 0.00256200629, 0.44613631554, 36.89238041300 }, { 0.00242677799, 3.89213848413, 39.86132582961 }, @@ -2551,10 +2557,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_NEPTUNE[] = { 0.00000002300, 2.19835177792, 986.05343516780 }, { 0.00000002199, 1.21359358990, 606.20085385370 }, { 0.00000002325, 4.84070679976, 109.70187130500 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y2_NEPTUNE +{ { { 0.01620002167, 5.31277371181, 38.37685312130 }, { 0.00028138323, 4.01361134771, 0.24381748350 }, { 0.00012318619, 1.01433481938, 39.86132582961 }, @@ -2668,10 +2674,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_NEPTUNE[] = { 0.00000002327, 5.10713891298, 38.42503723110 }, { 0.00000002481, 0.85514029866, 655.17383907870 }, { 0.00000002569, 2.65544269508, 464.97504399731 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y3_NEPTUNE +{ { { 0.00000985355, 5.40479271994, 38.37685312130 }, { 0.00000482798, 2.40351592403, 37.88921815429 }, { 0.00000416447, 5.08276459732, 0.24381748350 }, @@ -2709,10 +2715,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_NEPTUNE[] = { 0.00000002279, 6.20789133449, 458.81015062800 }, { 0.00000002147, 1.06531556689, 175.40987728371 }, { 0.00000002637, 2.06613866653, 73.54094334250 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y4_NEPTUNE +{ { { 0.00003455306, 2.04385259535, 38.37685312130 }, { 0.00000047405, 0.64311364094, 0.24381748350 }, { 0.00000021936, 4.30052120876, 37.88921815429 }, @@ -2727,15 +2733,15 @@ const VSOP87Coefficient g_VSOP87C_Y4_NEPTUNE[] = { 0.00000002981, 5.01159762849, 1.72829019180 }, { 0.00000002295, 4.84988240730, 220.65645992230 }, { 0.00000002296, 3.13566627364, 206.42936592071 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Y5_NEPTUNE +{ { { 0.00000026291, 2.14645097520, 38.37685312130 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z0_NEPTUNE +{ { { 0.92866054405, 1.44103930278, 38.13303563780 }, { 0.01245978462, 0.00000000000, 0.00000000000 }, { 0.00474333567, 2.52218774238, 36.64856292950 }, @@ -2869,10 +2875,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_NEPTUNE[] = { 0.00000004678, 4.87546696295, 442.75170057060 }, { 0.00000004407, 5.58110402011, 252.08652238160 }, { 0.00000004305, 1.31724140028, 493.04240216510 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z1_NEPTUNE +{ { { 0.06832633707, 3.80782656293, 38.13303563780 }, { 0.00064598028, 3.14159265359, 0.00000000000 }, { 0.00042738331, 4.82540335637, 36.64856292950 }, @@ -2934,10 +2940,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_NEPTUNE[] = { 0.00000002787, 1.21334651843, 72.07328558160 }, { 0.00000002453, 3.18401661435, 42.32582133180 }, { 0.00000002523, 5.51669920239, 8.07675484730 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z2_NEPTUNE +{ { { 0.00291361164, 5.57085222635, 38.13303563780 }, { 0.00002207820, 0.45423510946, 36.64856292950 }, { 0.00002644401, 3.14159265359, 0.00000000000 }, @@ -2958,10 +2964,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_NEPTUNE[] = { 0.00000006818, 1.56386946094, 114.39910691340 }, { 0.00000004838, 0.83470875824, 220.41264243880 }, { 0.00000002545, 0.43712705655, 4.45341812490 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z3_NEPTUNE +{ { { 0.00008221290, 1.01632472042, 38.13303563780 }, { 0.00000103933, 0.00000000000, 0.00000000000 }, { 0.00000070154, 2.36502685986, 36.64856292950 }, @@ -2970,78 +2976,77 @@ const VSOP87Coefficient g_VSOP87C_Z3_NEPTUNE[] = { 0.00000007111, 3.99067059016, 1.48447270830 }, { 0.00000004656, 3.62376309338, 35.16409022120 }, { 0.00000002988, 1.03727330540, 74.78159856730 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z4_NEPTUNE +{ { { 0.00000172227, 2.66872693322, 38.13303563780 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_NEPTUNE[] = -{ +constexpr array g_VSOP87C_Z5_NEPTUNE +{ { { 0.00000003394, 4.70646877989, 38.13303563780 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_NEPTUNE[] = -{ - { g_VSOP87C_X0_NEPTUNE, sizeof(g_VSOP87C_X0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_NEPTUNE, sizeof(g_VSOP87C_X1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_NEPTUNE, sizeof(g_VSOP87C_X2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_NEPTUNE, sizeof(g_VSOP87C_X3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_NEPTUNE, sizeof(g_VSOP87C_X4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_NEPTUNE, sizeof(g_VSOP87C_X5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_NEPTUNE +{ { + { g_VSOP87C_X0_NEPTUNE.data(), g_VSOP87C_X0_NEPTUNE.size() }, + { g_VSOP87C_X1_NEPTUNE.data(), g_VSOP87C_X1_NEPTUNE.size() }, + { g_VSOP87C_X2_NEPTUNE.data(), g_VSOP87C_X2_NEPTUNE.size() }, + { g_VSOP87C_X3_NEPTUNE.data(), g_VSOP87C_X3_NEPTUNE.size() }, + { g_VSOP87C_X4_NEPTUNE.data(), g_VSOP87C_X4_NEPTUNE.size() }, + { g_VSOP87C_X5_NEPTUNE.data(), g_VSOP87C_X5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_NEPTUNE[] = -{ - { g_VSOP87C_Y0_NEPTUNE, sizeof(g_VSOP87C_Y0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_NEPTUNE, sizeof(g_VSOP87C_Y1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_NEPTUNE, sizeof(g_VSOP87C_Y2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_NEPTUNE, sizeof(g_VSOP87C_Y3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_NEPTUNE, sizeof(g_VSOP87C_Y4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_NEPTUNE, sizeof(g_VSOP87C_Y5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_NEPTUNE +{ { + { g_VSOP87C_Y0_NEPTUNE.data(), g_VSOP87C_Y0_NEPTUNE.size() }, + { g_VSOP87C_Y1_NEPTUNE.data(), g_VSOP87C_Y1_NEPTUNE.size() }, + { g_VSOP87C_Y2_NEPTUNE.data(), g_VSOP87C_Y2_NEPTUNE.size() }, + { g_VSOP87C_Y3_NEPTUNE.data(), g_VSOP87C_Y3_NEPTUNE.size() }, + { g_VSOP87C_Y4_NEPTUNE.data(), g_VSOP87C_Y4_NEPTUNE.size() }, + { g_VSOP87C_Y5_NEPTUNE.data(), g_VSOP87C_Y5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_NEPTUNE[] = -{ - { g_VSOP87C_Z0_NEPTUNE, sizeof(g_VSOP87C_Z0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_NEPTUNE, sizeof(g_VSOP87C_Z1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_NEPTUNE, sizeof(g_VSOP87C_Z2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_NEPTUNE, sizeof(g_VSOP87C_Z3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_NEPTUNE, sizeof(g_VSOP87C_Z4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_NEPTUNE, sizeof(g_VSOP87C_Z5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_NEPTUNE +{ { + { g_VSOP87C_Z0_NEPTUNE.data(), g_VSOP87C_Z0_NEPTUNE.size() }, + { g_VSOP87C_Z1_NEPTUNE.data(), g_VSOP87C_Z1_NEPTUNE.size() }, + { g_VSOP87C_Z2_NEPTUNE.data(), g_VSOP87C_Z2_NEPTUNE.size() }, + { g_VSOP87C_Z3_NEPTUNE.data(), g_VSOP87C_Z3_NEPTUNE.size() }, + { g_VSOP87C_Z4_NEPTUNE.data(), g_VSOP87C_Z4_NEPTUNE.size() }, + { g_VSOP87C_Z5_NEPTUNE.data(), g_VSOP87C_Z5_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Neptune::X(double JD) +double CAAVSOP87C_Neptune::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_NEPTUNE, sizeof(g_VSOP87C_X_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_NEPTUNE.data(), g_VSOP87C_X_NEPTUNE.size(), false); } -double CAAVSOP87C_Neptune::X_DASH(double JD) +double CAAVSOP87C_Neptune::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_NEPTUNE, sizeof(g_VSOP87C_X_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_NEPTUNE.data(), g_VSOP87C_X_NEPTUNE.size()); } -double CAAVSOP87C_Neptune::Y(double JD) +double CAAVSOP87C_Neptune::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_NEPTUNE, sizeof(g_VSOP87C_Y_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_NEPTUNE.data(), g_VSOP87C_Y_NEPTUNE.size(), false); } -double CAAVSOP87C_Neptune::Y_DASH(double JD) +double CAAVSOP87C_Neptune::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_NEPTUNE, sizeof(g_VSOP87C_Y_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_NEPTUNE.data(), g_VSOP87C_Y_NEPTUNE.size()); } -double CAAVSOP87C_Neptune::Z(double JD) +double CAAVSOP87C_Neptune::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_NEPTUNE, sizeof(g_VSOP87C_Z_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_NEPTUNE.data(), g_VSOP87C_Z_NEPTUNE.size(), false); } -double CAAVSOP87C_Neptune::Z_DASH(double JD) +double CAAVSOP87C_Neptune::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_NEPTUNE, sizeof(g_VSOP87C_Z_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_NEPTUNE.data(), g_VSOP87C_Z_NEPTUNE.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_SAT.cpp b/Sources/AAPlus/AAVSOP87C_SAT.cpp old mode 100755 new mode 100644 similarity index 98% rename from Vendor/AA+/1.6.3/AAVSOP87C_SAT.cpp rename to Sources/AAPlus/AAVSOP87C_SAT.cpp index 08e7b88..e65cfde --- a/Vendor/AA+/1.6.3/AAVSOP87C_SAT.cpp +++ b/Sources/AAPlus/AAVSOP87C_SAT.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_SATURN +{ { { 9.52312533591, 0.87401491487, 213.54291292150 }, { 0.79501390398, 4.76580713096, 0.24381748350 }, { 0.26427074351, 0.12339999915, 426.84200835950 }, @@ -2079,10 +2085,10 @@ const VSOP87Coefficient g_VSOP87C_X0_SATURN[] = { 0.00000000681, 2.40403440268, 458.33457774851 }, { 0.00000000803, 5.00204662708, 418.49006686629 }, { 0.00000000681, 0.38545629971, 414.57495994570 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_SATURN[] = -{ +constexpr array g_VSOP87C_X1_SATURN +{ { { 0.09285877988, 0.61678993503, 0.24381748350 }, { 0.03086501680, 4.27493632359, 426.84200835950 }, { 0.02728479923, 5.84476389020, 206.42936592071 }, @@ -3106,10 +3112,10 @@ const VSOP87Coefficient g_VSOP87C_X1_SATURN[] = { 0.00000000858, 5.69541304884, 781.83999440590 }, { 0.00000000860, 2.63629505046, 5436.74919775670 }, { 0.00000000785, 2.62141651385, 3494.29384274070 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_SATURN[] = -{ +constexpr array g_VSOP87C_X2_SATURN +{ { { 0.00862721930, 2.44701762869, 213.54291292150 }, { 0.00611630287, 2.28479450822, 0.24381748350 }, { 0.00561413805, 1.25489421778, 206.42936592071 }, @@ -3621,10 +3627,10 @@ const VSOP87Coefficient g_VSOP87C_X2_SATURN[] = { 0.00000000960, 4.40263473154, 5856.72147659890 }, { 0.00000000886, 4.84941446555, 471.93102443120 }, { 0.00000000909, 2.87462833456, 746.15463932291 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_SATURN[] = -{ +constexpr array g_VSOP87C_X3_SATURN +{ { { 0.00076886822, 2.95726755259, 206.42936592071 }, { 0.00075865107, 1.87343394188, 220.65645992230 }, { 0.00028377246, 3.86557149479, 0.24381748350 }, @@ -3875,10 +3881,10 @@ const VSOP87Coefficient g_VSOP87C_X3_SATURN[] = { 0.00000000700, 4.19439623716, 10220.64291069530 }, { 0.00000000687, 4.43661173924, 102.84895673509 }, { 0.00000000801, 4.16672540134, 1457.28211557850 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_SATURN[] = -{ +constexpr array g_VSOP87C_X4_SATURN +{ { { 0.00007957923, 0.10292939767, 220.65645992230 }, { 0.00007883034, 4.66633773762, 206.42936592071 }, { 0.00001517028, 0.05577219527, 227.77000692311 }, @@ -3989,10 +3995,10 @@ const VSOP87Coefficient g_VSOP87C_X4_SATURN[] = { 0.00000000686, 0.20449337417, 234.39591895690 }, { 0.00000000684, 5.09702256485, 661.48174479990 }, { 0.00000000859, 5.20905469515, 537.04832957890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_SATURN[] = -{ +constexpr array g_VSOP87C_X5_SATURN +{ { { 0.00000605503, 4.59646585232, 220.65645992230 }, { 0.00000576439, 0.06437124594, 206.42936592071 }, { 0.00000227348, 4.59085116990, 227.77000692311 }, @@ -4033,10 +4039,10 @@ const VSOP87Coefficient g_VSOP87C_X5_SATURN[] = { 0.00000000979, 5.20989352885, 95.73540973430 }, { 0.00000000784, 3.19070192516, 522.82123557730 }, { 0.00000000910, 2.05287501643, 96.22304470130 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_SATURN[] = -{ +constexpr array g_VSOP87C_Y0_SATURN +{ { { 9.52312533591, 5.58640389526, 213.54291292150 }, { 0.79501390398, 3.19501080417, 0.24381748350 }, { 0.26427074351, 4.83578897954, 426.84200835950 }, @@ -6084,10 +6090,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_SATURN[] = { 0.00000000681, 0.83323807589, 458.33457774851 }, { 0.00000000803, 0.28965764669, 418.49006686629 }, { 0.00000000681, 1.95625262651, 414.57495994570 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_SATURN[] = -{ +constexpr array g_VSOP87C_Y1_SATURN +{ { { 0.09285877988, 5.32917891541, 0.24381748350 }, { 0.03086501680, 2.70413999679, 426.84200835950 }, { 0.02728479923, 4.27396756341, 206.42936592071 }, @@ -7111,10 +7117,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_SATURN[] = { 0.00000000858, 4.12461672205, 781.83999440590 }, { 0.00000000860, 4.20709137726, 5436.74919775670 }, { 0.00000000785, 4.19221284065, 3494.29384274070 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_SATURN[] = -{ +constexpr array g_VSOP87C_Y2_SATURN +{ { { 0.00862721930, 0.87622130189, 213.54291292150 }, { 0.00611630287, 0.71399818143, 0.24381748350 }, { 0.00561413805, 5.96728319816, 206.42936592071 }, @@ -7626,10 +7632,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_SATURN[] = { 0.00000000960, 2.83183840474, 5856.72147659890 }, { 0.00000000886, 0.13702548516, 471.93102443120 }, { 0.00000000909, 1.30383200776, 746.15463932291 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_SATURN[] = -{ +constexpr array g_VSOP87C_Y3_SATURN +{ { { 0.00076886822, 1.38647122579, 206.42936592071 }, { 0.00075865107, 0.30263761509, 220.65645992230 }, { 0.00028377246, 2.29477516800, 0.24381748350 }, @@ -7880,10 +7886,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_SATURN[] = { 0.00000000700, 2.62359991037, 10220.64291069530 }, { 0.00000000687, 6.00740806604, 102.84895673509 }, { 0.00000000801, 5.73752172813, 1457.28211557850 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_SATURN[] = -{ +constexpr array g_VSOP87C_Y4_SATURN +{ { { 0.00007957923, 4.81531837805, 220.65645992230 }, { 0.00007883034, 3.09554141083, 206.42936592071 }, { 0.00001517028, 4.76816117565, 227.77000692311 }, @@ -7994,10 +8000,10 @@ const VSOP87Coefficient g_VSOP87C_Y4_SATURN[] = { 0.00000000686, 1.77528970097, 234.39591895690 }, { 0.00000000684, 3.52622623805, 661.48174479990 }, { 0.00000000859, 3.63825836835, 537.04832957890 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_SATURN[] = -{ +constexpr array g_VSOP87C_Y5_SATURN +{ { { 0.00000605503, 3.02566952553, 220.65645992230 }, { 0.00000576439, 4.77676022633, 206.42936592071 }, { 0.00000227348, 3.02005484310, 227.77000692311 }, @@ -8038,10 +8044,10 @@ const VSOP87Coefficient g_VSOP87C_Y5_SATURN[] = { 0.00000000979, 0.49750454847, 95.73540973430 }, { 0.00000000784, 1.61990559836, 522.82123557730 }, { 0.00000000910, 0.48207868964, 96.22304470130 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_SATURN[] = -{ +constexpr array g_VSOP87C_Z0_SATURN +{ { { 0.41356950940, 3.60234142982, 213.29909543800 }, { 0.01148283576, 2.85128367469, 426.59819087600 }, { 0.01214249867, 0.00000000000, 0.00000000000 }, @@ -8462,10 +8468,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_SATURN[] = { 0.00000001390, 4.08155384651, 894.84087952760 }, { 0.00000001435, 1.51395699369, 867.42347575360 }, { 0.00000001404, 4.02343833901, 300.61086697750 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_SATURN[] = -{ +constexpr array g_VSOP87C_Z1_SATURN +{ { { 0.03810308320, 5.33520316778, 213.29909543800 }, { 0.00707598508, 3.14159265359, 0.00000000000 }, { 0.00144960439, 2.30149367100, 206.18554843720 }, @@ -8700,10 +8706,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_SATURN[] = { 0.00000000760, 2.28889729136, 213.08664711690 }, { 0.00000000760, 5.74264101239, 213.51154375910 }, { 0.00000000724, 4.57593199965, 228.27694896500 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_SATURN[] = -{ +constexpr array g_VSOP87C_Z2_SATURN +{ { { 0.00195192259, 0.50946874402, 213.29909543800 }, { 0.00036491216, 3.99604491617, 206.18554843720 }, { 0.00015091412, 6.17687148383, 220.41264243880 }, @@ -8795,10 +8801,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_SATURN[] = { 0.00000000966, 2.64913416683, 85.82729883120 }, { 0.00000000771, 1.16732337173, 217.96496188400 }, { 0.00000000697, 0.53637719953, 628.85158605010 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_SATURN[] = -{ +constexpr array g_VSOP87C_Z3_SATURN +{ { { 0.00006552316, 1.98918006303, 213.29909543800 }, { 0.00006205120, 5.69682939522, 206.18554843720 }, { 0.00005692884, 0.00000000000, 0.00000000000 }, @@ -8844,10 +8850,10 @@ const VSOP87Coefficient g_VSOP87C_Z3_SATURN[] = { 0.00000001276, 3.91936027558, 447.93883187840 }, { 0.00000001374, 1.28276260217, 1066.49547719000 }, { 0.00000000804, 4.10158366806, 224.34479570190 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_SATURN[] = -{ +constexpr array g_VSOP87C_Z4_SATURN +{ { { 0.00000789033, 1.11928782644, 206.18554843720 }, { 0.00000281365, 3.13274851308, 213.29909543800 }, { 0.00000169515, 3.14159265359, 0.00000000000 }, @@ -8870,10 +8876,10 @@ const VSOP87Coefficient g_VSOP87C_Z4_SATURN[] = { 0.00000001322, 0.54271370335, 853.19638175200 }, { 0.00000001151, 4.86229315211, 117.31986822020 }, { 0.00000001045, 5.61649418233, 316.39186965660 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_SATURN[] = -{ +constexpr array g_VSOP87C_Z5_SATURN +{ { { 0.00000077433, 2.81859989913, 206.18554843720 }, { 0.00000013826, 3.14159265359, 0.00000000000 }, { 0.00000009303, 0.47844462514, 220.41264243880 }, @@ -8883,68 +8889,67 @@ const VSOP87Coefficient g_VSOP87C_Z5_SATURN[] = { 0.00000001362, 2.58324584516, 419.48464387520 }, { 0.00000000968, 5.23916441152, 213.29909543800 }, { 0.00000000867, 5.81659714144, 7.11354700080 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_SATURN[] = -{ - { g_VSOP87C_X0_SATURN, sizeof(g_VSOP87C_X0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_SATURN, sizeof(g_VSOP87C_X1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_SATURN, sizeof(g_VSOP87C_X2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_SATURN, sizeof(g_VSOP87C_X3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_SATURN, sizeof(g_VSOP87C_X4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_SATURN, sizeof(g_VSOP87C_X5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_SATURN +{ { + { g_VSOP87C_X0_SATURN.data(), g_VSOP87C_X0_SATURN.size() }, + { g_VSOP87C_X1_SATURN.data(), g_VSOP87C_X1_SATURN.size() }, + { g_VSOP87C_X2_SATURN.data(), g_VSOP87C_X2_SATURN.size() }, + { g_VSOP87C_X3_SATURN.data(), g_VSOP87C_X3_SATURN.size() }, + { g_VSOP87C_X4_SATURN.data(), g_VSOP87C_X4_SATURN.size() }, + { g_VSOP87C_X5_SATURN.data(), g_VSOP87C_X5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_SATURN[] = -{ - { g_VSOP87C_Y0_SATURN, sizeof(g_VSOP87C_Y0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_SATURN, sizeof(g_VSOP87C_Y1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_SATURN, sizeof(g_VSOP87C_Y2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_SATURN, sizeof(g_VSOP87C_Y3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_SATURN, sizeof(g_VSOP87C_Y4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_SATURN, sizeof(g_VSOP87C_Y5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_SATURN +{ { + { g_VSOP87C_Y0_SATURN.data(), g_VSOP87C_Y0_SATURN.size() }, + { g_VSOP87C_Y1_SATURN.data(), g_VSOP87C_Y1_SATURN.size() }, + { g_VSOP87C_Y2_SATURN.data(), g_VSOP87C_Y2_SATURN.size() }, + { g_VSOP87C_Y3_SATURN.data(), g_VSOP87C_Y3_SATURN.size() }, + { g_VSOP87C_Y4_SATURN.data(), g_VSOP87C_Y4_SATURN.size() }, + { g_VSOP87C_Y5_SATURN.data(), g_VSOP87C_Y5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_SATURN[] = -{ - { g_VSOP87C_Z0_SATURN, sizeof(g_VSOP87C_Z0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_SATURN, sizeof(g_VSOP87C_Z1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_SATURN, sizeof(g_VSOP87C_Z2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_SATURN, sizeof(g_VSOP87C_Z3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_SATURN, sizeof(g_VSOP87C_Z4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_SATURN, sizeof(g_VSOP87C_Z5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_SATURN +{ { + { g_VSOP87C_Z0_SATURN.data(), g_VSOP87C_Z0_SATURN.size() }, + { g_VSOP87C_Z1_SATURN.data(), g_VSOP87C_Z1_SATURN.size() }, + { g_VSOP87C_Z2_SATURN.data(), g_VSOP87C_Z2_SATURN.size() }, + { g_VSOP87C_Z3_SATURN.data(), g_VSOP87C_Z3_SATURN.size() }, + { g_VSOP87C_Z4_SATURN.data(), g_VSOP87C_Z4_SATURN.size() }, + { g_VSOP87C_Z5_SATURN.data(), g_VSOP87C_Z5_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Saturn::X(double JD) +double CAAVSOP87C_Saturn::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_SATURN, sizeof(g_VSOP87C_X_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_SATURN.data(), g_VSOP87C_X_SATURN.size(), false); } -double CAAVSOP87C_Saturn::X_DASH(double JD) +double CAAVSOP87C_Saturn::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_SATURN, sizeof(g_VSOP87C_X_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_SATURN.data(), g_VSOP87C_X_SATURN.size()); } -double CAAVSOP87C_Saturn::Y(double JD) +double CAAVSOP87C_Saturn::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_SATURN, sizeof(g_VSOP87C_Y_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_SATURN.data(), g_VSOP87C_Y_SATURN.size(), false); } -double CAAVSOP87C_Saturn::Y_DASH(double JD) +double CAAVSOP87C_Saturn::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_SATURN, sizeof(g_VSOP87C_Y_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_SATURN.data(), g_VSOP87C_Y_SATURN.size()); } -double CAAVSOP87C_Saturn::Z(double JD) +double CAAVSOP87C_Saturn::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_SATURN, sizeof(g_VSOP87C_Z_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_SATURN.data(), g_VSOP87C_Z_SATURN.size(), false); } -double CAAVSOP87C_Saturn::Z_DASH(double JD) +double CAAVSOP87C_Saturn::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_SATURN, sizeof(g_VSOP87C_Z_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_SATURN.data(), g_VSOP87C_Z_SATURN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_URA.cpp b/Sources/AAPlus/AAVSOP87C_URA.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87C_URA.cpp rename to Sources/AAPlus/AAVSOP87C_URA.cpp index ac69999..898d481 --- a/Vendor/AA+/1.6.3/AAVSOP87C_URA.cpp +++ b/Sources/AAPlus/AAVSOP87C_URA.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_URANUS +{ { { 19.16944479396, 5.48129363987, 75.02541605080 }, { 1.33267708718, 6.16089978558, 0.24381748350 }, { 0.44396480992, 1.65965632053, 149.80701461810 }, @@ -1958,10 +1964,10 @@ const VSOP87Coefficient g_VSOP87C_X0_URANUS[] = { 0.00000001421, 4.99710506357, 1349.99406353840 }, { 0.00000001421, 2.01327407687, 1447.18257681859 }, { 0.00000001421, 5.15486673046, 1447.67021178560 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_URANUS[] = -{ +constexpr array g_VSOP87C_X1_URANUS +{ { { 0.02225113750, 1.80968682072, 0.24381748350 }, { 0.00738897387, 6.01007226305, 149.80701461810 }, { 0.00239408407, 5.33797172897, 73.54094334250 }, @@ -2818,10 +2824,10 @@ const VSOP87Coefficient g_VSOP87C_X1_URANUS[] = { 0.00000001531, 5.12947393362, 1737.98613802460 }, { 0.00000001531, 1.98788128003, 1737.49850305759 }, { 0.00000001912, 5.97684430410, 486.64575339981 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_URANUS[] = -{ +constexpr array g_VSOP87C_X2_URANUS +{ { { 0.01016618950, 0.77056492682, 75.02541605080 }, { 0.00038040244, 1.27157972349, 0.24381748350 }, { 0.00034677856, 3.16763307609, 149.80701461810 }, @@ -3163,10 +3169,10 @@ const VSOP87Coefficient g_VSOP87C_X2_URANUS[] = { 0.00000001408, 4.34822903469, 255.18741069710 }, { 0.00000001517, 2.68660553420, 976.97984257920 }, { 0.00000001517, 2.68660553420, 976.49220761220 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_URANUS[] = -{ +constexpr array g_VSOP87C_X3_URANUS +{ { { 0.00000937647, 1.00888984070, 149.80701461810 }, { 0.00000967548, 1.42552804346, 0.24381748350 }, { 0.00000892089, 0.79608202303, 75.02541605080 }, @@ -3273,10 +3279,10 @@ const VSOP87Coefficient g_VSOP87C_X3_URANUS[] = { 0.00000001443, 5.13235693386, 195.38366565681 }, { 0.00000001402, 4.46431718602, 984.84414910540 }, { 0.00000001402, 4.46431718602, 984.35651413839 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_URANUS[] = -{ +constexpr array g_VSOP87C_X4_URANUS +{ { { 0.00002203535, 3.78800316770, 75.02541605080 }, { 0.00000128370, 4.00299274369, 0.24381748350 }, { 0.00000072353, 5.87048427972, 149.80701461810 }, @@ -3300,16 +3306,16 @@ const VSOP87Coefficient g_VSOP87C_X4_URANUS[] = { 0.00000001842, 5.42341768633, 138.76131435421 }, { 0.00000002009, 2.15212981432, 224.58861318540 }, { 0.00000001813, 0.96578276317, 148.32254190981 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_URANUS[] = -{ +constexpr array g_VSOP87C_X5_URANUS +{ { { 0.00000016766, 3.88666258140, 75.02541605080 }, { 0.00000001843, 6.11677355708, 0.24381748350 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_URANUS[] = -{ +constexpr array g_VSOP87C_Y0_URANUS +{ { { 19.16944479396, 3.91049731307, 75.02541605080 }, { 1.33267708718, 4.59010345878, 0.24381748350 }, { 0.44396480992, 0.08885999374, 149.80701461810 }, @@ -5236,10 +5242,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_URANUS[] = { 0.00000001421, 3.42630873678, 1349.99406353840 }, { 0.00000001421, 3.58407040366, 1447.18257681859 }, { 0.00000001421, 3.58407040366, 1447.67021178560 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_URANUS[] = -{ +constexpr array g_VSOP87C_Y1_URANUS +{ { { 0.02225113750, 0.23889049392, 0.24381748350 }, { 0.00738897387, 4.43927593626, 149.80701461810 }, { 0.00239408407, 3.76717540218, 73.54094334250 }, @@ -6096,10 +6102,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_URANUS[] = { 0.00000001531, 3.55867760683, 1737.98613802460 }, { 0.00000001531, 3.55867760683, 1737.49850305759 }, { 0.00000001912, 4.40604797730, 486.64575339981 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_URANUS[] = -{ +constexpr array g_VSOP87C_Y2_URANUS +{ { { 0.01016618950, 5.48295390720, 75.02541605080 }, { 0.00038040244, 5.98396870387, 0.24381748350 }, { 0.00034677856, 1.59683674929, 149.80701461810 }, @@ -6441,10 +6447,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_URANUS[] = { 0.00000001408, 2.77743270790, 255.18741069710 }, { 0.00000001517, 1.11580920740, 976.97984257920 }, { 0.00000001517, 4.25740186099, 976.49220761220 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_URANUS[] = -{ +constexpr array g_VSOP87C_Y3_URANUS +{ { { 0.00000937647, 5.72127882108, 149.80701461810 }, { 0.00000967548, 6.13791702385, 0.24381748350 }, { 0.00000892089, 5.50847100342, 75.02541605080 }, @@ -6551,10 +6557,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_URANUS[] = { 0.00000001443, 3.56156060706, 195.38366565681 }, { 0.00000001402, 2.89352085922, 984.84414910540 }, { 0.00000001402, 6.03511351281, 984.35651413839 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_URANUS[] = -{ +constexpr array g_VSOP87C_Y4_URANUS +{ { { 0.00002203535, 2.21720684091, 75.02541605080 }, { 0.00000128370, 2.43219641689, 0.24381748350 }, { 0.00000072353, 4.29968795292, 149.80701461810 }, @@ -6578,16 +6584,16 @@ const VSOP87Coefficient g_VSOP87C_Y4_URANUS[] = { 0.00000001842, 3.85262135953, 138.76131435421 }, { 0.00000002009, 0.58133348752, 224.58861318540 }, { 0.00000001813, 5.67817174356, 148.32254190981 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_URANUS[] = -{ +constexpr array g_VSOP87C_Y5_URANUS +{ { { 0.00000016766, 2.31586625461, 75.02541605080 }, { 0.00000001843, 4.54597723029, 0.24381748350 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_URANUS[] = -{ +constexpr array g_VSOP87C_Z0_URANUS +{ { { 0.25878127698, 2.61861272578, 74.78159856730 }, { 0.01774318778, 3.14159265359, 0.00000000000 }, { 0.00599316131, 5.08119500585, 149.56319713460 }, @@ -6823,10 +6829,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_URANUS[] = { 0.00000004640, 1.37720813333, 121.25202148330 }, { 0.00000004414, 5.22232716227, 909.81873305460 }, { 0.00000004365, 2.15062971711, 611.58611066270 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_URANUS[] = -{ +constexpr array g_VSOP87C_Z1_URANUS +{ { { 0.03962262983, 4.12418900865, 74.78159856730 }, { 0.00082241017, 0.33841633701, 149.56319713460 }, { 0.00033563127, 2.12025871831, 73.29712585900 }, @@ -6986,10 +6992,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_URANUS[] = { 0.00000001504, 0.25796780548, 81.37388070630 }, { 0.00000001960, 3.46041862039, 162.09337010680 }, { 0.00000001414, 2.99649402595, 51.20572533120 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_URANUS[] = -{ +constexpr array g_VSOP87C_Z2_URANUS +{ { { 0.00177117836, 5.80022816704, 74.78159856730 }, { 0.00016035660, 0.00000000000, 0.00000000000 }, { 0.00002755730, 2.17676848750, 149.56319713460 }, @@ -7055,10 +7061,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_URANUS[] = { 0.00000001555, 2.47637875795, 426.59819087600 }, { 0.00000001473, 4.91621635684, 80.19822453870 }, { 0.00000001409, 3.59004232634, 4.45341812490 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_URANUS[] = -{ +constexpr array g_VSOP87C_Z3_URANUS +{ { { 0.00005141166, 1.25274291045, 74.78159856730 }, { 0.00000316609, 3.14159265359, 0.00000000000 }, { 0.00000065271, 5.77590506888, 73.29712585900 }, @@ -7077,83 +7083,82 @@ const VSOP87Coefficient g_VSOP87C_Z3_URANUS[] = { 0.00000003697, 2.79328856468, 11.04570026390 }, { 0.00000001714, 5.43238781955, 145.63104387150 }, { 0.00000001496, 5.73048296712, 18.15924726470 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_URANUS[] = -{ +constexpr array g_VSOP87C_Z4_URANUS +{ { { 0.00000109765, 2.85499529315, 74.78159856730 }, { 0.00000007890, 3.14159265359, 0.00000000000 }, { 0.00000002125, 2.94706053740, 63.73589830340 }, { 0.00000002092, 1.68142886919, 73.29712585900 }, { 0.00000001559, 5.50762023733, 149.56319713460 }, { 0.00000001558, 1.27604541567, 70.84944530420 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_URANUS[] = -{ +constexpr array g_VSOP87C_Z5_URANUS +{ { { 0.00000002165, 4.87604439769, 74.78159856730 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_URANUS[] = -{ - { g_VSOP87C_X0_URANUS, sizeof(g_VSOP87C_X0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_URANUS, sizeof(g_VSOP87C_X1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_URANUS, sizeof(g_VSOP87C_X2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_URANUS, sizeof(g_VSOP87C_X3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_URANUS, sizeof(g_VSOP87C_X4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_URANUS, sizeof(g_VSOP87C_X5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_URANUS +{ { + { g_VSOP87C_X0_URANUS.data(), g_VSOP87C_X0_URANUS.size() }, + { g_VSOP87C_X1_URANUS.data(), g_VSOP87C_X1_URANUS.size() }, + { g_VSOP87C_X2_URANUS.data(), g_VSOP87C_X2_URANUS.size() }, + { g_VSOP87C_X3_URANUS.data(), g_VSOP87C_X3_URANUS.size() }, + { g_VSOP87C_X4_URANUS.data(), g_VSOP87C_X4_URANUS.size() }, + { g_VSOP87C_X5_URANUS.data(), g_VSOP87C_X5_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_URANUS[] = -{ - { g_VSOP87C_Y0_URANUS, sizeof(g_VSOP87C_Y0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_URANUS, sizeof(g_VSOP87C_Y1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_URANUS, sizeof(g_VSOP87C_Y2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_URANUS, sizeof(g_VSOP87C_Y3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_URANUS, sizeof(g_VSOP87C_Y4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_URANUS, sizeof(g_VSOP87C_Y5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_URANUS +{ { + { g_VSOP87C_Y0_URANUS.data(), g_VSOP87C_Y0_URANUS.size() }, + { g_VSOP87C_Y1_URANUS.data(), g_VSOP87C_Y1_URANUS.size() }, + { g_VSOP87C_Y2_URANUS.data(), g_VSOP87C_Y2_URANUS.size() }, + { g_VSOP87C_Y3_URANUS.data(), g_VSOP87C_Y3_URANUS.size() }, + { g_VSOP87C_Y4_URANUS.data(), g_VSOP87C_Y4_URANUS.size() }, + { g_VSOP87C_Y5_URANUS.data(), g_VSOP87C_Y5_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_URANUS[] = -{ - { g_VSOP87C_Z0_URANUS, sizeof(g_VSOP87C_Z0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_URANUS, sizeof(g_VSOP87C_Z1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_URANUS, sizeof(g_VSOP87C_Z2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_URANUS, sizeof(g_VSOP87C_Z3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_URANUS, sizeof(g_VSOP87C_Z4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_URANUS, sizeof(g_VSOP87C_Z5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_URANUS +{ { + { g_VSOP87C_Z0_URANUS.data(), g_VSOP87C_Z0_URANUS.size() }, + { g_VSOP87C_Z1_URANUS.data(), g_VSOP87C_Z1_URANUS.size() }, + { g_VSOP87C_Z2_URANUS.data(), g_VSOP87C_Z2_URANUS.size() }, + { g_VSOP87C_Z3_URANUS.data(), g_VSOP87C_Z3_URANUS.size() }, + { g_VSOP87C_Z4_URANUS.data(), g_VSOP87C_Z4_URANUS.size() }, + { g_VSOP87C_Z5_URANUS.data(), g_VSOP87C_Z5_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Uranus::X(double JD) +double CAAVSOP87C_Uranus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_URANUS, sizeof(g_VSOP87C_X_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_URANUS.data(), g_VSOP87C_X_URANUS.size(), false); } -double CAAVSOP87C_Uranus::X_DASH(double JD) +double CAAVSOP87C_Uranus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_URANUS, sizeof(g_VSOP87C_X_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_URANUS.data(), g_VSOP87C_X_URANUS.size()); } -double CAAVSOP87C_Uranus::Y(double JD) +double CAAVSOP87C_Uranus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_URANUS, sizeof(g_VSOP87C_Y_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_URANUS.data(), g_VSOP87C_Y_URANUS.size(), false); } -double CAAVSOP87C_Uranus::Y_DASH(double JD) +double CAAVSOP87C_Uranus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_URANUS, sizeof(g_VSOP87C_Y_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_URANUS.data(), g_VSOP87C_Y_URANUS.size()); } -double CAAVSOP87C_Uranus::Z(double JD) +double CAAVSOP87C_Uranus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_URANUS, sizeof(g_VSOP87C_Z_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_URANUS.data(), g_VSOP87C_Z_URANUS.size(), false); } -double CAAVSOP87C_Uranus::Z_DASH(double JD) +double CAAVSOP87C_Uranus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_URANUS, sizeof(g_VSOP87C_Z_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_URANUS.data(), g_VSOP87C_Z_URANUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_VEN.cpp b/Sources/AAPlus/AAVSOP87C_VEN.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87C_VEN.cpp rename to Sources/AAPlus/AAVSOP87C_VEN.cpp index a82aeaa..883b920 --- a/Vendor/AA+/1.6.3/AAVSOP87C_VEN.cpp +++ b/Sources/AAPlus/AAVSOP87C_VEN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87C_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87C_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87C_X0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87C_X0_VENUS +{ { { 0.72268045621, 3.17614669179, 10213.52936369450 }, { 0.00733886107, 5.43699242686, 0.24381748350 }, { 0.00244692613, 4.05605630888, 20426.81490990550 }, @@ -717,10 +723,10 @@ const VSOP87Coefficient g_VSOP87C_X0_VENUS[] = { 0.00000000026, 4.09923425337, 8734.66278963010 }, { 0.00000000028, 1.92482741603, 7886.47389475550 }, { 0.00000000031, 0.27204438582, 25960.17883340570 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X1_VENUS[] = -{ +constexpr array g_VSOP87C_X1_VENUS +{ { { 0.00051880979, 2.28175279050, 0.24381748350 }, { 0.00017260820, 0.92558492780, 20426.81490990550 }, { 0.00011049864, 2.03460665124, 10213.04172872750 }, @@ -1127,10 +1133,10 @@ const VSOP87Coefficient g_VSOP87C_X1_VENUS[] = { 0.00000000013, 4.17219621815, 12565.90788249930 }, { 0.00000000015, 6.22361957178, 21486.19684009470 }, { 0.00000000013, 6.14132227253, 52670.31341078610 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X2_VENUS[] = -{ +constexpr array g_VSOP87C_X2_VENUS +{ { { 0.00039116576, 4.74721085665, 10213.52936369450 }, { 0.00001782208, 4.51495547304, 0.24381748350 }, { 0.00000953335, 3.63516488566, 10213.04172872750 }, @@ -1264,10 +1270,10 @@ const VSOP87Coefficient g_VSOP87C_X2_VENUS[] = { 0.00000000009, 4.90406740797, 3531.81687532789 }, { 0.00000000007, 1.80027626747, 22805.49174851010 }, { 0.00000000007, 1.18159563994, 529.44714761109 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X3_VENUS[] = -{ +constexpr array g_VSOP87C_X3_VENUS +{ { { 0.00000055518, 5.27636048864, 10213.04172872750 }, { 0.00000057047, 5.87936770190, 0.24381748350 }, { 0.00000032093, 3.05612494200, 20426.81490990550 }, @@ -1293,10 +1299,10 @@ const VSOP87Coefficient g_VSOP87C_X3_VENUS[] = { 0.00000000004, 0.86625328320, 1059.62574767270 }, { 0.00000000004, 1.29045440101, 15721.08260236190 }, { 0.00000000003, 6.23075905972, 11322.90791578790 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X4_VENUS[] = -{ +constexpr array g_VSOP87C_X4_VENUS +{ { { 0.00000083081, 1.47755047593, 10213.52936369450 }, { 0.00000002486, 0.71777141614, 10213.04172872750 }, { 0.00000000657, 1.07128766548, 20426.81490990550 }, @@ -1309,18 +1315,18 @@ const VSOP87Coefficient g_VSOP87C_X4_VENUS[] = { 0.00000000002, 4.89604781036, 8636.18582124671 }, { 0.00000000002, 5.91399711778, 1577.09972496430 }, { 0.00000000002, 2.29946508014, 9438.00675237050 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_X5_VENUS[] = -{ +constexpr array g_VSOP87C_X5_VENUS +{ { { 0.00000000631, 1.59925460860, 10213.52936369450 }, { 0.00000000095, 2.54586723363, 10213.04172872750 }, { 0.00000000088, 1.72183649952, 0.24381748350 }, { 0.00000000040, 5.81128931245, 20426.81490990550 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y0_VENUS[] = -{ +constexpr array g_VSOP87C_Y0_VENUS +{ { { 0.72268045621, 1.60535036499, 10213.52936369450 }, { 0.00733886107, 3.86619610007, 0.24381748350 }, { 0.00244692613, 2.48525998209, 20426.81490990550 }, @@ -2006,10 +2012,10 @@ const VSOP87Coefficient g_VSOP87C_Y0_VENUS[] = { 0.00000000026, 2.52843792658, 8734.66278963010 }, { 0.00000000028, 3.49562374283, 7886.47389475550 }, { 0.00000000031, 1.84284071261, 25960.17883340570 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y1_VENUS[] = -{ +constexpr array g_VSOP87C_Y1_VENUS +{ { { 0.00051880979, 0.71095646371, 0.24381748350 }, { 0.00017260820, 5.63797390819, 20426.81490990550 }, { 0.00011049864, 3.60540297803, 10213.04172872750 }, @@ -2416,10 +2422,10 @@ const VSOP87Coefficient g_VSOP87C_Y1_VENUS[] = { 0.00000000013, 5.74299254495, 12565.90788249930 }, { 0.00000000015, 4.65282324499, 21486.19684009470 }, { 0.00000000013, 4.57052594573, 52670.31341078610 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y2_VENUS[] = -{ +constexpr array g_VSOP87C_Y2_VENUS +{ { { 0.00039116576, 3.17641452985, 10213.52936369450 }, { 0.00001782208, 2.94415914625, 0.24381748350 }, { 0.00000953335, 5.20596121245, 10213.04172872750 }, @@ -2553,10 +2559,10 @@ const VSOP87Coefficient g_VSOP87C_Y2_VENUS[] = { 0.00000000009, 0.19167842758, 3531.81687532789 }, { 0.00000000007, 3.37107259426, 22805.49174851010 }, { 0.00000000007, 2.75239196673, 529.44714761109 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y3_VENUS[] = -{ +constexpr array g_VSOP87C_Y3_VENUS +{ { { 0.00000055518, 0.56397150825, 10213.04172872750 }, { 0.00000057047, 4.30857137510, 0.24381748350 }, { 0.00000032093, 1.48532861520, 20426.81490990550 }, @@ -2582,10 +2588,10 @@ const VSOP87Coefficient g_VSOP87C_Y3_VENUS[] = { 0.00000000004, 5.57864226359, 1059.62574767270 }, { 0.00000000004, 6.00284338140, 15721.08260236190 }, { 0.00000000003, 4.65996273292, 11322.90791578790 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y4_VENUS[] = -{ +constexpr array g_VSOP87C_Y4_VENUS +{ { { 0.00000083081, 6.18993945631, 10213.52936369450 }, { 0.00000002486, 2.28856774293, 10213.04172872750 }, { 0.00000000657, 5.78367664587, 20426.81490990550 }, @@ -2598,18 +2604,18 @@ const VSOP87Coefficient g_VSOP87C_Y4_VENUS[] = { 0.00000000002, 3.32525148356, 8636.18582124671 }, { 0.00000000002, 1.20160813739, 1577.09972496430 }, { 0.00000000002, 0.72866875334, 9438.00675237050 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Y5_VENUS[] = -{ +constexpr array g_VSOP87C_Y5_VENUS +{ { { 0.00000000631, 0.02845828180, 10213.52936369450 }, { 0.00000000095, 4.11666356042, 10213.04172872750 }, { 0.00000000088, 0.15104017272, 0.24381748350 }, { 0.00000000040, 4.24049298565, 20426.81490990550 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z0_VENUS[] = -{ +constexpr array g_VSOP87C_Z0_VENUS +{ { { 0.04282990302, 0.26703856476, 10213.28554621100 }, { 0.00035588343, 3.14159265359, 0.00000000000 }, { 0.00014501879, 1.14696911390, 20426.57109242200 }, @@ -2800,10 +2806,10 @@ const VSOP87Coefficient g_VSOP87C_Z0_VENUS[] = { 0.00000000071, 2.36609582367, 74.78159856730 }, { 0.00000000062, 2.46239069210, 10846.06928552420 }, { 0.00000000061, 3.77333230443, 51868.24866217880 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z1_VENUS[] = -{ +constexpr array g_VSOP87C_Z1_VENUS +{ { { 0.00371157532, 1.80370484107, 10213.28554621100 }, { 0.00001583350, 3.38513432885, 20426.57109242200 }, { 0.00000216150, 0.00000000000, 0.00000000000 }, @@ -2921,10 +2927,10 @@ const VSOP87Coefficient g_VSOP87C_Z1_VENUS[] = { 0.00000000017, 3.76162101633, 10251.31321884680 }, { 0.00000000013, 0.74065551442, 24356.78078864160 }, { 0.00000000014, 5.04938942644, 6681.22485339960 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z2_VENUS[] = -{ +constexpr array g_VSOP87C_Z2_VENUS +{ { { 0.00016179656, 3.38519723238, 10213.28554621100 }, { 0.00000305549, 0.00000000000, 0.00000000000 }, { 0.00000062577, 5.25189799706, 20426.57109242200 }, @@ -2974,10 +2980,10 @@ const VSOP87Coefficient g_VSOP87C_Z2_VENUS[] = { 0.00000000009, 5.04826725887, 7.11354700080 }, { 0.00000000007, 4.98138067490, 10426.58464164900 }, { 0.00000000007, 4.31777952738, 3154.68708489560 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z3_VENUS[] = -{ +constexpr array g_VSOP87C_Z3_VENUS +{ { { 0.00000467466, 4.99201374907, 10213.28554621100 }, { 0.00000021639, 3.14159265359, 0.00000000000 }, { 0.00000002002, 0.76147646688, 20426.57109242200 }, @@ -2990,82 +2996,81 @@ const VSOP87Coefficient g_VSOP87C_Z3_VENUS[] = { 0.00000000008, 4.33056892256, 10404.73381232260 }, { 0.00000000007, 3.07196293928, 30639.85663863300 }, { 0.00000000005, 2.22179616897, 1577.34354244780 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z4_VENUS[] = -{ +constexpr array g_VSOP87C_Z4_VENUS +{ { { 0.00000010192, 0.31526267335, 10213.28554621100 }, { 0.00000000233, 3.14159265359, 0.00000000000 }, { 0.00000000069, 2.32746005974, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient g_VSOP87C_Z5_VENUS[] = -{ +constexpr array g_VSOP87C_Z5_VENUS +{ { { 0.00000000173, 2.05270625526, 10213.28554621100 }, { 0.00000000042, 0.00000000000, 0.00000000000 }, { 0.00000000004, 3.77138066766, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87C_X_VENUS[] = -{ - { g_VSOP87C_X0_VENUS, sizeof(g_VSOP87C_X0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X1_VENUS, sizeof(g_VSOP87C_X1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X2_VENUS, sizeof(g_VSOP87C_X2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X3_VENUS, sizeof(g_VSOP87C_X3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X4_VENUS, sizeof(g_VSOP87C_X4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_X5_VENUS, sizeof(g_VSOP87C_X5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_X_VENUS +{ { + { g_VSOP87C_X0_VENUS.data(), g_VSOP87C_X0_VENUS.size() }, + { g_VSOP87C_X1_VENUS.data(), g_VSOP87C_X1_VENUS.size() }, + { g_VSOP87C_X2_VENUS.data(), g_VSOP87C_X2_VENUS.size() }, + { g_VSOP87C_X3_VENUS.data(), g_VSOP87C_X3_VENUS.size() }, + { g_VSOP87C_X4_VENUS.data(), g_VSOP87C_X4_VENUS.size() }, + { g_VSOP87C_X5_VENUS.data(), g_VSOP87C_X5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Y_VENUS[] = -{ - { g_VSOP87C_Y0_VENUS, sizeof(g_VSOP87C_Y0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y1_VENUS, sizeof(g_VSOP87C_Y1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y2_VENUS, sizeof(g_VSOP87C_Y2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y3_VENUS, sizeof(g_VSOP87C_Y3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y4_VENUS, sizeof(g_VSOP87C_Y4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Y5_VENUS, sizeof(g_VSOP87C_Y5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Y_VENUS +{ { + { g_VSOP87C_Y0_VENUS.data(), g_VSOP87C_Y0_VENUS.size() }, + { g_VSOP87C_Y1_VENUS.data(), g_VSOP87C_Y1_VENUS.size() }, + { g_VSOP87C_Y2_VENUS.data(), g_VSOP87C_Y2_VENUS.size() }, + { g_VSOP87C_Y3_VENUS.data(), g_VSOP87C_Y3_VENUS.size() }, + { g_VSOP87C_Y4_VENUS.data(), g_VSOP87C_Y4_VENUS.size() }, + { g_VSOP87C_Y5_VENUS.data(), g_VSOP87C_Y5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87C_Z_VENUS[] = -{ - { g_VSOP87C_Z0_VENUS, sizeof(g_VSOP87C_Z0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z1_VENUS, sizeof(g_VSOP87C_Z1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z2_VENUS, sizeof(g_VSOP87C_Z2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z3_VENUS, sizeof(g_VSOP87C_Z3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z4_VENUS, sizeof(g_VSOP87C_Z4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87C_Z5_VENUS, sizeof(g_VSOP87C_Z5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87C_Z_VENUS +{ { + { g_VSOP87C_Z0_VENUS.data(), g_VSOP87C_Z0_VENUS.size() }, + { g_VSOP87C_Z1_VENUS.data(), g_VSOP87C_Z1_VENUS.size() }, + { g_VSOP87C_Z2_VENUS.data(), g_VSOP87C_Z2_VENUS.size() }, + { g_VSOP87C_Z3_VENUS.data(), g_VSOP87C_Z3_VENUS.size() }, + { g_VSOP87C_Z4_VENUS.data(), g_VSOP87C_Z4_VENUS.size() }, + { g_VSOP87C_Z5_VENUS.data(), g_VSOP87C_Z5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87C_Venus::X(double JD) +double CAAVSOP87C_Venus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_X_VENUS, sizeof(g_VSOP87C_X_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_X_VENUS.data(), g_VSOP87C_X_VENUS.size(), false); } -double CAAVSOP87C_Venus::X_DASH(double JD) +double CAAVSOP87C_Venus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_X_VENUS, sizeof(g_VSOP87C_X_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_X_VENUS.data(), g_VSOP87C_X_VENUS.size()); } -double CAAVSOP87C_Venus::Y(double JD) +double CAAVSOP87C_Venus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Y_VENUS, sizeof(g_VSOP87C_Y_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Y_VENUS.data(), g_VSOP87C_Y_VENUS.size(), false); } -double CAAVSOP87C_Venus::Y_DASH(double JD) +double CAAVSOP87C_Venus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_VENUS, sizeof(g_VSOP87C_Y_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Y_VENUS.data(), g_VSOP87C_Y_VENUS.size()); } -double CAAVSOP87C_Venus::Z(double JD) +double CAAVSOP87C_Venus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87C_Z_VENUS, sizeof(g_VSOP87C_Z_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87C_Z_VENUS.data(), g_VSOP87C_Z_VENUS.size(), false); } -double CAAVSOP87C_Venus::Z_DASH(double JD) +double CAAVSOP87C_Venus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_VENUS, sizeof(g_VSOP87C_Z_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87C_Z_VENUS.data(), g_VSOP87C_Z_VENUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_EAR.cpp b/Sources/AAPlus/AAVSOP87D_EAR.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87D_EAR.cpp rename to Sources/AAPlus/AAVSOP87D_EAR.cpp index 4a2dd60..b286297 --- a/Vendor/AA+/1.6.3/AAVSOP87D_EAR.cpp +++ b/Sources/AAPlus/AAVSOP87D_EAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_EAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_EAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_EARTH[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_EARTH +{ { { 1.75347045673, 0.00000000000, 0.00000000000 }, { 0.03341656456, 4.66925680417, 6283.07584999140 }, { 0.00034894275, 4.62610241759, 12566.15169998280 }, @@ -591,10 +597,10 @@ const VSOP87Coefficient g_VSOP87D_L0_EARTH[] = { 0.00000000039, 1.20838190039, 18842.11400297339 }, { 0.00000000045, 3.18590558749, 45585.17281218740 }, { 0.00000000049, 2.44790934886, 13613.80427733600 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_EARTH[] = -{ +constexpr array g_VSOP87D_L1_EARTH +{ { { 6283.31966747491, 0.00000000000, 0.00000000000 }, { 0.00206058863, 2.67823455584, 6283.07584999140 }, { 0.00004303430, 2.63512650414, 12566.15169998280 }, @@ -936,10 +942,10 @@ const VSOP87Coefficient g_VSOP87D_L1_EARTH[] = { 0.00000000024, 5.72605158675, 29864.33402730900 }, { 0.00000000024, 1.40237993205, 14712.31711645800 }, { 0.00000000025, 5.71466092822, 25934.12433108940 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_EARTH[] = -{ +constexpr array g_VSOP87D_L2_EARTH +{ { { 0.00052918870, 0.00000000000, 0.00000000000 }, { 0.00008719837, 1.07209665242, 6283.07584999140 }, { 0.00000309125, 0.86728818832, 12566.15169998280 }, @@ -1082,10 +1088,10 @@ const VSOP87Coefficient g_VSOP87D_L2_EARTH[] = { 0.00000000010, 1.40815507226, 10988.80815753500 }, { 0.00000000011, 3.05005267431, 17260.15465469040 }, { 0.00000000010, 4.93364992366, 12352.85260454480 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_EARTH[] = -{ +constexpr array g_VSOP87D_L3_EARTH +{ { { 0.00000289226, 5.84384198723, 6283.07584999140 }, { 0.00000034955, 0.00000000000, 0.00000000000 }, { 0.00000016819, 5.48766912348, 12566.15169998280 }, @@ -1108,10 +1114,10 @@ const VSOP87Coefficient g_VSOP87D_L3_EARTH[] = { 0.00000000005, 2.71488713339, 10977.07880469900 }, { 0.00000000005, 3.76879847273, 12036.46073488820 }, { 0.00000000005, 4.28412873331, 6275.96230299060 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_EARTH[] = -{ +constexpr array g_VSOP87D_L4_EARTH +{ { { 0.00000114084, 3.14159265359, 0.00000000000 }, { 0.00000007717, 4.13446589358, 6283.07584999140 }, { 0.00000000765, 3.83803776214, 12566.15169998280 }, @@ -1123,19 +1129,19 @@ const VSOP87Coefficient g_VSOP87D_L4_EARTH[] = { 0.00000000010, 5.64801766350, 6127.65545055720 }, { 0.00000000008, 2.84160570605, 161000.68573767410 }, { 0.00000000002, 0.54912904658, 6438.49624942560 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_EARTH[] = -{ +constexpr array g_VSOP87D_L5_EARTH +{ { { 0.00000000878, 3.14159265359, 0.00000000000 }, { 0.00000000172, 2.76579069510, 6283.07584999140 }, { 0.00000000050, 2.01353298182, 155.42039943420 }, { 0.00000000028, 2.21496423926, 12566.15169998280 }, { 0.00000000005, 1.75600058765, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_EARTH[] = -{ +constexpr array g_VSOP87D_B0_EARTH +{ { { 0.00000279620, 3.19870156017, 84334.66158130829 }, { 0.00000101643, 5.42248619256, 5507.55323866740 }, { 0.00000080445, 3.88013204458, 5223.69391980220 }, @@ -1320,10 +1326,10 @@ const VSOP87Coefficient g_VSOP87D_B0_EARTH[] = { 0.00000000054, 3.38482031504, 323049.11878710287 }, { 0.00000000039, 3.28500401343, 71768.50988132549 }, { 0.00000000039, 3.11239910690, 96900.81328129109 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_EARTH[] = -{ +constexpr array g_VSOP87D_B1_EARTH +{ { { 0.00000009030, 3.89729061890, 5507.55323866740 }, { 0.00000006177, 1.73038850355, 5223.69391980220 }, { 0.00000003800, 5.24404145734, 2352.86615377180 }, @@ -1423,10 +1429,10 @@ const VSOP87Coefficient g_VSOP87D_B1_EARTH[] = { 0.00000000021, 4.00149269576, 3154.68708489560 }, { 0.00000000018, 1.58348238359, 2118.76386037840 }, { 0.00000000019, 0.85407021371, 14712.31711645800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_EARTH[] = -{ +constexpr array g_VSOP87D_B2_EARTH +{ { { 0.00000001662, 1.62703209173, 84334.66158130829 }, { 0.00000000492, 2.41382223971, 1047.74731175470 }, { 0.00000000344, 2.24353004539, 5507.55323866740 }, @@ -1476,10 +1482,10 @@ const VSOP87Coefficient g_VSOP87D_B2_EARTH[] = { 0.00000000010, 5.15032130575, 11371.70468975820 }, { 0.00000000013, 0.98720797401, 5729.50644714900 }, { 0.00000000009, 5.94191743597, 7632.94325965020 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_EARTH[] = -{ +constexpr array g_VSOP87D_B3_EARTH +{ { { 0.00000000011, 0.23877262399, 7860.41939243920 }, { 0.00000000009, 1.16069982609, 5507.55323866740 }, { 0.00000000008, 1.65357552925, 5884.92684658320 }, @@ -1491,19 +1497,19 @@ const VSOP87Coefficient g_VSOP87D_B3_EARTH[] = { 0.00000000006, 0.84181087594, 6275.96230299060 }, { 0.00000000006, 5.40160929468, 1577.34354244780 }, { 0.00000000007, 2.73399865247, 6309.37416979120 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_EARTH[] = -{ +constexpr array g_VSOP87D_B4_EARTH +{ { { 0.00000000004, 0.79662198849, 6438.49624942560 }, { 0.00000000005, 0.84308705203, 1047.74731175470 }, { 0.00000000005, 0.05711572303, 84334.66158130829 }, { 0.00000000003, 3.46779895686, 6279.55273164240 }, { 0.00000000003, 2.89822201212, 6127.65545055720 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_EARTH[] = -{ +constexpr array g_VSOP87D_R0_EARTH +{ { { 1.00013988799, 0.00000000000, 0.00000000000 }, { 0.01670699626, 3.09846350771, 6283.07584999140 }, { 0.00013956023, 3.05524609620, 12566.15169998280 }, @@ -2030,10 +2036,10 @@ const VSOP87Coefficient g_VSOP87D_R0_EARTH[] = { 0.00000000040, 5.39694918320, 9498.21223063460 }, { 0.00000000040, 3.30603243754, 23536.11695768099 }, { 0.00000000050, 6.15760345261, 78051.34191383339 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_EARTH[] = -{ +constexpr array g_VSOP87D_R1_EARTH +{ { { 0.00103018608, 1.10748969588, 6283.07584999140 }, { 0.00001721238, 1.06442301418, 12566.15169998280 }, { 0.00000702215, 3.14159265359, 0.00000000000 }, @@ -2326,10 +2332,10 @@ const VSOP87Coefficient g_VSOP87D_R1_EARTH[] = { 0.00000000019, 4.71432851499, 77690.75950573849 }, { 0.00000000019, 2.54227398241, 77736.78343050249 }, { 0.00000000020, 5.91915117116, 48739.85989708300 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_EARTH[] = -{ +constexpr array g_VSOP87D_R2_EARTH +{ { { 0.00004359385, 5.78455133738, 6283.07584999140 }, { 0.00000123633, 5.57934722157, 12566.15169998280 }, { 0.00000012341, 3.14159265359, 0.00000000000 }, @@ -2469,10 +2475,10 @@ const VSOP87Coefficient g_VSOP87D_R2_EARTH[] = { 0.00000000009, 3.02238989305, 23543.23050468179 }, { 0.00000000009, 2.04999402381, 22003.91463486980 }, { 0.00000000009, 4.91488110218, 213.29909543800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_EARTH[] = -{ +constexpr array g_VSOP87D_R3_EARTH +{ { { 0.00000144595, 4.27319435148, 6283.07584999140 }, { 0.00000006729, 3.91697608662, 12566.15169998280 }, { 0.00000000774, 0.00000000000, 0.00000000000 }, @@ -2500,10 +2506,10 @@ const VSOP87Coefficient g_VSOP87D_R3_EARTH[] = { 0.00000000007, 2.98052059053, 6681.22485339960 }, { 0.00000000005, 2.30961231391, 12036.46073488820 }, { 0.00000000005, 3.71102966917, 6290.18939699220 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_EARTH[] = -{ +constexpr array g_VSOP87D_R4_EARTH +{ { { 0.00000003858, 2.56384387339, 6283.07584999140 }, { 0.00000000306, 2.26769501230, 12566.15169998280 }, { 0.00000000053, 3.44031471924, 5573.14280143310 }, @@ -2514,74 +2520,73 @@ const VSOP87Coefficient g_VSOP87D_R4_EARTH[] = { 0.00000000005, 4.07695126049, 6127.65545055720 }, { 0.00000000006, 3.81514213664, 149854.40013480789 }, { 0.00000000003, 1.28175749811, 6286.59896834040 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_EARTH[] = -{ +constexpr array g_VSOP87D_R5_EARTH +{ { { 0.00000000086, 1.21579741687, 6283.07584999140 }, { 0.00000000012, 0.65617264033, 12566.15169998280 }, { 0.00000000001, 0.38068797142, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_EARTH[] = -{ - { g_VSOP87D_L0_EARTH, sizeof(g_VSOP87D_L0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_EARTH, sizeof(g_VSOP87D_L1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_EARTH, sizeof(g_VSOP87D_L2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_EARTH, sizeof(g_VSOP87D_L3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_EARTH, sizeof(g_VSOP87D_L4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_EARTH, sizeof(g_VSOP87D_L5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_EARTH +{ { + { g_VSOP87D_L0_EARTH.data(), g_VSOP87D_L0_EARTH.size() }, + { g_VSOP87D_L1_EARTH.data(), g_VSOP87D_L1_EARTH.size() }, + { g_VSOP87D_L2_EARTH.data(), g_VSOP87D_L2_EARTH.size() }, + { g_VSOP87D_L3_EARTH.data(), g_VSOP87D_L3_EARTH.size() }, + { g_VSOP87D_L4_EARTH.data(), g_VSOP87D_L4_EARTH.size() }, + { g_VSOP87D_L5_EARTH.data(), g_VSOP87D_L5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_EARTH[] = -{ - { g_VSOP87D_B0_EARTH, sizeof(g_VSOP87D_B0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_EARTH, sizeof(g_VSOP87D_B1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_EARTH, sizeof(g_VSOP87D_B2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_EARTH, sizeof(g_VSOP87D_B3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_EARTH, sizeof(g_VSOP87D_B4_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_EARTH +{ { + { g_VSOP87D_B0_EARTH.data(), g_VSOP87D_B0_EARTH.size() }, + { g_VSOP87D_B1_EARTH.data(), g_VSOP87D_B1_EARTH.size() }, + { g_VSOP87D_B2_EARTH.data(), g_VSOP87D_B2_EARTH.size() }, + { g_VSOP87D_B3_EARTH.data(), g_VSOP87D_B3_EARTH.size() }, + { g_VSOP87D_B4_EARTH.data(), g_VSOP87D_B4_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_EARTH[] = -{ - { g_VSOP87D_R0_EARTH, sizeof(g_VSOP87D_R0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_EARTH, sizeof(g_VSOP87D_R1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_EARTH, sizeof(g_VSOP87D_R2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_EARTH, sizeof(g_VSOP87D_R3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_EARTH, sizeof(g_VSOP87D_R4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_EARTH, sizeof(g_VSOP87D_R5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_EARTH +{ { + { g_VSOP87D_R0_EARTH.data(), g_VSOP87D_R0_EARTH.size() }, + { g_VSOP87D_R1_EARTH.data(), g_VSOP87D_R1_EARTH.size() }, + { g_VSOP87D_R2_EARTH.data(), g_VSOP87D_R2_EARTH.size() }, + { g_VSOP87D_R3_EARTH.data(), g_VSOP87D_R3_EARTH.size() }, + { g_VSOP87D_R4_EARTH.data(), g_VSOP87D_R4_EARTH.size() }, + { g_VSOP87D_R5_EARTH.data(), g_VSOP87D_R5_EARTH.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Earth::L(double JD) +double CAAVSOP87D_Earth::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_EARTH, sizeof(g_VSOP87D_L_EARTH)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_EARTH.data(), g_VSOP87D_L_EARTH.size(), true); } -double CAAVSOP87D_Earth::L_DASH(double JD) +double CAAVSOP87D_Earth::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_EARTH, sizeof(g_VSOP87D_L_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_EARTH.data(), g_VSOP87D_L_EARTH.size()); } -double CAAVSOP87D_Earth::B(double JD) +double CAAVSOP87D_Earth::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_EARTH, sizeof(g_VSOP87D_B_EARTH)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_EARTH.data(), g_VSOP87D_B_EARTH.size(), true); } -double CAAVSOP87D_Earth::B_DASH(double JD) +double CAAVSOP87D_Earth::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_EARTH, sizeof(g_VSOP87D_B_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_EARTH.data(), g_VSOP87D_B_EARTH.size()); } -double CAAVSOP87D_Earth::R(double JD) +double CAAVSOP87D_Earth::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_EARTH, sizeof(g_VSOP87D_R_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_EARTH.data(), g_VSOP87D_R_EARTH.size(), false); } -double CAAVSOP87D_Earth::R_DASH(double JD) +double CAAVSOP87D_Earth::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_EARTH, sizeof(g_VSOP87D_R_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_EARTH.data(), g_VSOP87D_R_EARTH.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_JUP.cpp b/Sources/AAPlus/AAVSOP87D_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87D_JUP.cpp rename to Sources/AAPlus/AAVSOP87D_JUP.cpp index 87c7830..53589bb --- a/Vendor/AA+/1.6.3/AAVSOP87D_JUP.cpp +++ b/Sources/AAPlus/AAVSOP87D_JUP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_JUPITER +{ { { 0.59954691495, 0.00000000000, 0.00000000000 }, { 0.09695898711, 5.06191793105, 529.69096509460 }, { 0.00573610145, 1.44406205976, 7.11354700080 }, @@ -792,10 +798,10 @@ const VSOP87Coefficient g_VSOP87D_L0_JUPITER[] = { 0.00000000076, 3.62264327413, 782.34693644780 }, { 0.00000000085, 1.86831145784, 25028.52121138500 }, { 0.00000000079, 2.90602202890, 2114.83170711530 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_JUPITER[] = -{ +constexpr array g_VSOP87D_L1_JUPITER +{ { { 529.93480757497, 0.00000000000, 0.00000000000 }, { 0.00489741194, 4.22066689928, 529.69096509460 }, { 0.00228918538, 6.02647464016, 7.11354700080 }, @@ -1165,10 +1171,10 @@ const VSOP87Coefficient g_VSOP87D_L1_JUPITER[] = { 0.00000000072, 5.65789862232, 1151.42900414390 }, { 0.00000000080, 0.04539720100, 1080.72257119160 }, { 0.00000000075, 4.26526686574, 1058.41872234270 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_JUPITER[] = -{ +constexpr array g_VSOP87D_L2_JUPITER +{ { { 0.00047233598, 4.32148323554, 7.11354700080 }, { 0.00030629053, 2.93021440216, 529.69096509460 }, { 0.00038965550, 0.00000000000, 0.00000000000 }, @@ -1360,10 +1366,10 @@ const VSOP87Coefficient g_VSOP87D_L2_JUPITER[] = { 0.00000000114, 5.15982838070, 1592.25428902150 }, { 0.00000000091, 1.48896790758, 1567.73225428140 }, { 0.00000000086, 4.34444949905, 1069.67687092770 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_JUPITER[] = -{ +constexpr array g_VSOP87D_L3_JUPITER +{ { { 0.00006501665, 2.59862880482, 7.11354700080 }, { 0.00001356524, 1.34635886411, 529.69096509460 }, { 0.00000470716, 2.47503977883, 14.22709400160 }, @@ -1473,10 +1479,10 @@ const VSOP87Coefficient g_VSOP87D_L3_JUPITER[] = { 0.00000000075, 3.93105183253, 1055.44977692610 }, { 0.00000000079, 1.88533153220, 934.94851496820 }, { 0.00000000077, 3.80503143236, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_JUPITER[] = -{ +constexpr array g_VSOP87D_L4_JUPITER +{ { { 0.00000669483, 0.85282421090, 7.11354700080 }, { 0.00000099961, 0.74258947751, 14.22709400160 }, { 0.00000114019, 3.14159265359, 0.00000000000 }, @@ -1522,10 +1528,10 @@ const VSOP87Coefficient g_VSOP87D_L4_JUPITER[] = { 0.00000000093, 5.60436000012, 1581.95934828300 }, { 0.00000000085, 5.02317256200, 1155.36115740700 }, { 0.00000000075, 3.13198879608, 632.78373931320 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_JUPITER[] = -{ +constexpr array g_VSOP87D_L5_JUPITER +{ { { 0.00000049577, 5.25658966184, 7.11354700080 }, { 0.00000015761, 5.25126837478, 14.22709400160 }, { 0.00000004343, 0.01461869263, 536.80451209540 }, @@ -1536,10 +1542,10 @@ const VSOP87Coefficient g_VSOP87D_L5_JUPITER[] = { 0.00000000456, 0.81521692852, 1066.49547719000 }, { 0.00000000293, 5.62909357048, 1059.38193018920 }, { 0.00000000090, 0.21178119710, 529.69096509460 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_JUPITER[] = -{ +constexpr array g_VSOP87D_B0_JUPITER +{ { { 0.02268615703, 3.55852606718, 529.69096509460 }, { 0.00109971634, 3.90809347389, 1059.38193018920 }, { 0.00110090358, 0.00000000000, 0.00000000000 }, @@ -1789,10 +1795,10 @@ const VSOP87Coefficient g_VSOP87D_B0_JUPITER[] = { 0.00000000080, 0.38766601876, 4694.00295470760 }, { 0.00000000074, 3.86865238736, 3067.93946934820 }, { 0.00000000095, 1.66362447044, 1151.42900414390 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_JUPITER[] = -{ +constexpr array g_VSOP87D_B1_JUPITER +{ { { 0.00177351787, 5.70166488486, 529.69096509460 }, { 0.00003230171, 5.77941619340, 1059.38193018920 }, { 0.00003081364, 5.47464296527, 522.57741809380 }, @@ -1934,10 +1940,10 @@ const VSOP87Coefficient g_VSOP87D_B1_JUPITER[] = { 0.00000000072, 1.90578907085, 528.94020556920 }, { 0.00000000072, 5.57619428876, 530.44172462000 }, { 0.00000000078, 5.97323507836, 1585.89150154610 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_JUPITER[] = -{ +constexpr array g_VSOP87D_B2_JUPITER +{ { { 0.00008094051, 1.46322843658, 529.69096509460 }, { 0.00000742415, 0.95691639003, 522.57741809380 }, { 0.00000813244, 3.14159265359, 0.00000000000 }, @@ -2019,10 +2025,10 @@ const VSOP87Coefficient g_VSOP87D_B2_JUPITER[] = { 0.00000000102, 4.27603827970, 1375.77379984580 }, { 0.00000000089, 1.22926014128, 1898.35121793960 }, { 0.00000000080, 0.62129648755, 831.85574074960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_JUPITER[] = -{ +constexpr array g_VSOP87D_B3_JUPITER +{ { { 0.00000251624, 3.38087923084, 529.69096509460 }, { 0.00000121738, 2.73311837200, 522.57741809380 }, { 0.00000048694, 1.03689996685, 536.80451209540 }, @@ -2065,10 +2071,10 @@ const VSOP87Coefficient g_VSOP87D_B3_JUPITER[] = { 0.00000000095, 0.54905691533, 1169.58825140860 }, { 0.00000000088, 3.26874502411, 213.29909543800 }, { 0.00000000098, 2.00704668688, 1574.84580128220 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_JUPITER[] = -{ +constexpr array g_VSOP87D_B4_JUPITER +{ { { 0.00000015050, 4.52956999637, 522.57741809380 }, { 0.00000005370, 4.47427159142, 529.69096509460 }, { 0.00000004456, 5.43908581047, 536.80451209540 }, @@ -2081,19 +2087,19 @@ const VSOP87Coefficient g_VSOP87D_B4_JUPITER[] = { 0.00000000147, 3.56490986181, 1045.15483618760 }, { 0.00000000142, 5.69936472988, 7.11354700080 }, { 0.00000000112, 1.16718383135, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_JUPITER[] = -{ +constexpr array g_VSOP87D_B5_JUPITER +{ { { 0.00000001445, 0.09198554072, 522.57741809380 }, { 0.00000000368, 0.00874408003, 515.46387109300 }, { 0.00000000304, 3.27902945138, 536.80451209540 }, { 0.00000000129, 0.33959775247, 529.69096509460 }, { 0.00000000095, 1.29305954542, 543.91805909620 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_JUPITER[] = -{ +constexpr array g_VSOP87D_R0_JUPITER +{ { { 5.20887429471, 0.00000000000, 0.00000000000 }, { 0.25209327020, 3.49108640015, 529.69096509460 }, { 0.00610599902, 3.84115365602, 1059.38193018920 }, @@ -2839,10 +2845,10 @@ const VSOP87Coefficient g_VSOP87D_R0_JUPITER[] = { 0.00000000448, 4.76565111029, 284.14854074220 }, { 0.00000000474, 0.71146352197, 2108.46891963990 }, { 0.00000000509, 5.53328407404, 1128.53445446400 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_JUPITER[] = -{ +constexpr array g_VSOP87D_R1_JUPITER +{ { { 0.01271801596, 2.64937511122, 529.69096509460 }, { 0.00061661771, 3.00076251018, 1059.38193018920 }, { 0.00053443592, 3.89717644226, 522.57741809380 }, @@ -3224,10 +3230,10 @@ const VSOP87Coefficient g_VSOP87D_R1_JUPITER[] = { 0.00000000411, 4.31566962034, 757.21715453420 }, { 0.00000000392, 1.86527946688, 885.43971066640 }, { 0.00000000416, 3.81408093105, 3156.80514956520 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_JUPITER[] = -{ +constexpr array g_VSOP87D_R2_JUPITER +{ { { 0.00079644833, 1.35865896596, 529.69096509460 }, { 0.00008251618, 5.77773935444, 522.57741809380 }, { 0.00007029864, 3.27476965833, 536.80451209540 }, @@ -3418,10 +3424,10 @@ const VSOP87Coefficient g_VSOP87D_R2_JUPITER[] = { 0.00000000458, 4.91616403047, 3067.93946934820 }, { 0.00000000400, 3.13887720912, 540.73666535850 }, { 0.00000000378, 0.86122450940, 525.02509864860 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_JUPITER[] = -{ +constexpr array g_VSOP87D_R3_JUPITER +{ { { 0.00003519257, 6.05800633846, 529.69096509460 }, { 0.00001073239, 1.67321345760, 536.80451209540 }, { 0.00000915666, 1.41329676116, 522.57741809380 }, @@ -3520,10 +3526,10 @@ const VSOP87Coefficient g_VSOP87D_R3_JUPITER[] = { 0.00000000424, 2.80194129521, 81.75213321620 }, { 0.00000000406, 3.93940190897, 316.39186965660 }, { 0.00000000506, 0.18719982992, 10.29494073850 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_JUPITER[] = -{ +constexpr array g_VSOP87D_R4_JUPITER +{ { { 0.00000128628, 0.08419309557, 536.80451209540 }, { 0.00000113458, 4.24858855779, 529.69096509460 }, { 0.00000082650, 3.29754909408, 522.57741809380 }, @@ -3570,10 +3576,10 @@ const VSOP87Coefficient g_VSOP87D_R4_JUPITER[] = { 0.00000000631, 1.83863158533, 10.29494073850 }, { 0.00000000491, 1.52912023181, 405.25754987360 }, { 0.00000000521, 0.24011424451, 433.71173787680 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_JUPITER[] = -{ +constexpr array g_VSOP87D_R5_JUPITER +{ { { 0.00000011188, 4.75249399945, 536.80451209540 }, { 0.00000004255, 5.91516229170, 522.57741809380 }, { 0.00000002079, 5.56781555864, 515.46387109300 }, @@ -3583,68 +3589,67 @@ const VSOP87Coefficient g_VSOP87D_R5_JUPITER[] = { 0.00000001612, 4.13222808529, 1059.38193018920 }, { 0.00000001240, 3.77981722506, 14.22709400160 }, { 0.00000001033, 4.50671820436, 529.69096509460 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_JUPITER[] = -{ - { g_VSOP87D_L0_JUPITER, sizeof(g_VSOP87D_L0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_JUPITER, sizeof(g_VSOP87D_L1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_JUPITER, sizeof(g_VSOP87D_L2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_JUPITER, sizeof(g_VSOP87D_L3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_JUPITER, sizeof(g_VSOP87D_L4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_JUPITER, sizeof(g_VSOP87D_L5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_JUPITER +{ { + { g_VSOP87D_L0_JUPITER.data(), g_VSOP87D_L0_JUPITER.size() }, + { g_VSOP87D_L1_JUPITER.data(), g_VSOP87D_L1_JUPITER.size() }, + { g_VSOP87D_L2_JUPITER.data(), g_VSOP87D_L2_JUPITER.size() }, + { g_VSOP87D_L3_JUPITER.data(), g_VSOP87D_L3_JUPITER.size() }, + { g_VSOP87D_L4_JUPITER.data(), g_VSOP87D_L4_JUPITER.size() }, + { g_VSOP87D_L5_JUPITER.data(), g_VSOP87D_L5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_JUPITER[] = -{ - { g_VSOP87D_B0_JUPITER, sizeof(g_VSOP87D_B0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_JUPITER, sizeof(g_VSOP87D_B1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_JUPITER, sizeof(g_VSOP87D_B2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_JUPITER, sizeof(g_VSOP87D_B3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_JUPITER, sizeof(g_VSOP87D_B4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_JUPITER, sizeof(g_VSOP87D_B5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_JUPITER +{ { + { g_VSOP87D_B0_JUPITER.data(), g_VSOP87D_B0_JUPITER.size() }, + { g_VSOP87D_B1_JUPITER.data(), g_VSOP87D_B1_JUPITER.size() }, + { g_VSOP87D_B2_JUPITER.data(), g_VSOP87D_B2_JUPITER.size() }, + { g_VSOP87D_B3_JUPITER.data(), g_VSOP87D_B3_JUPITER.size() }, + { g_VSOP87D_B4_JUPITER.data(), g_VSOP87D_B4_JUPITER.size() }, + { g_VSOP87D_B5_JUPITER.data(), g_VSOP87D_B5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_JUPITER[] = -{ - { g_VSOP87D_R0_JUPITER, sizeof(g_VSOP87D_R0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_JUPITER, sizeof(g_VSOP87D_R1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_JUPITER, sizeof(g_VSOP87D_R2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_JUPITER, sizeof(g_VSOP87D_R3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_JUPITER, sizeof(g_VSOP87D_R4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_JUPITER, sizeof(g_VSOP87D_R5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_JUPITER +{ { + { g_VSOP87D_R0_JUPITER.data(), g_VSOP87D_R0_JUPITER.size() }, + { g_VSOP87D_R1_JUPITER.data(), g_VSOP87D_R1_JUPITER.size() }, + { g_VSOP87D_R2_JUPITER.data(), g_VSOP87D_R2_JUPITER.size() }, + { g_VSOP87D_R3_JUPITER.data(), g_VSOP87D_R3_JUPITER.size() }, + { g_VSOP87D_R4_JUPITER.data(), g_VSOP87D_R4_JUPITER.size() }, + { g_VSOP87D_R5_JUPITER.data(), g_VSOP87D_R5_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Jupiter::L(double JD) +double CAAVSOP87D_Jupiter::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_JUPITER, sizeof(g_VSOP87D_L_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_JUPITER.data(), g_VSOP87D_L_JUPITER.size(), true); } -double CAAVSOP87D_Jupiter::L_DASH(double JD) +double CAAVSOP87D_Jupiter::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_JUPITER, sizeof(g_VSOP87D_L_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_JUPITER.data(), g_VSOP87D_L_JUPITER.size()); } -double CAAVSOP87D_Jupiter::B(double JD) +double CAAVSOP87D_Jupiter::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_JUPITER, sizeof(g_VSOP87D_B_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_JUPITER.data(), g_VSOP87D_B_JUPITER.size(), true); } -double CAAVSOP87D_Jupiter::B_DASH(double JD) +double CAAVSOP87D_Jupiter::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_JUPITER, sizeof(g_VSOP87D_B_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_JUPITER.data(), g_VSOP87D_B_JUPITER.size()); } -double CAAVSOP87D_Jupiter::R(double JD) +double CAAVSOP87D_Jupiter::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_JUPITER, sizeof(g_VSOP87D_R_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_JUPITER.data(), g_VSOP87D_R_JUPITER.size(), false); } -double CAAVSOP87D_Jupiter::R_DASH(double JD) +double CAAVSOP87D_Jupiter::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_JUPITER, sizeof(g_VSOP87D_R_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_JUPITER.data(), g_VSOP87D_R_JUPITER.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_MER.cpp b/Sources/AAPlus/AAVSOP87D_MER.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87D_MER.cpp rename to Sources/AAPlus/AAVSOP87D_MER.cpp index 544a814..b203a44 --- a/Vendor/AA+/1.6.3/AAVSOP87D_MER.cpp +++ b/Sources/AAPlus/AAVSOP87D_MER.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_MERCURY +{ { { 4.40250710144, 0.00000000000, 0.00000000000 }, { 0.40989414976, 1.48302034194, 26087.90314157420 }, { 0.05046294199, 4.47785489540, 52175.80628314840 }, @@ -1412,10 +1418,10 @@ const VSOP87Coefficient g_VSOP87D_L0_MERCURY[] = { 0.00000000004, 4.17772291197, 53132.09543911899 }, { 0.00000000004, 2.66996288682, 25572.43927048119 }, { 0.00000000005, 1.14175711692, 188898.39784101077 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_MERCURY[] = -{ +constexpr array g_VSOP87D_L1_MERCURY +{ { { 26088.14706222746, 0.00000000000, 0.00000000000 }, { 0.01126007832, 6.21703970996, 26087.90314157420 }, { 0.00303471395, 3.05565472363, 52175.80628314840 }, @@ -2255,10 +2261,10 @@ const VSOP87Coefficient g_VSOP87D_L1_MERCURY[] = { 0.00000000002, 5.66467419812, 25466.15934073500 }, { 0.00000000002, 5.10682926241, 159969.99379441058 }, { 0.00000000002, 3.49751807681, 259819.64948555277 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_MERCURY[] = -{ +constexpr array g_VSOP87D_L2_MERCURY +{ { { 0.00053049845, 0.00000000000, 0.00000000000 }, { 0.00016903658, 4.69072300649, 26087.90314157420 }, { 0.00007396711, 1.34735624669, 52175.80628314840 }, @@ -2654,10 +2660,10 @@ const VSOP87Coefficient g_VSOP87D_L2_MERCURY[] = { 0.00000000001, 5.59362222240, 25619.93815121980 }, { 0.00000000001, 3.26520760555, 240452.46032331997 }, { 0.00000000001, 5.52286605071, 52125.80966124419 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_MERCURY[] = -{ +constexpr array g_VSOP87D_L3_MERCURY +{ { { 0.00000188077, 0.03466830117, 52175.80628314840 }, { 0.00000142152, 3.12505452600, 26087.90314157420 }, { 0.00000096877, 3.00378171915, 78263.70942472259 }, @@ -2811,10 +2817,10 @@ const VSOP87Coefficient g_VSOP87D_L3_MERCURY[] = { 0.00000000000, 0.59142287644, 73711.75592766379 }, { 0.00000000001, 5.84438975852, 105307.21230790539 }, { 0.00000000001, 2.82906439989, 24498.83024629040 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_MERCURY[] = -{ +constexpr array g_VSOP87D_L4_MERCURY +{ { { 0.00000114078, 3.14159265359, 0.00000000000 }, { 0.00000003247, 2.02848007619, 26087.90314157420 }, { 0.00000001914, 1.41731803758, 78263.70942472259 }, @@ -2843,10 +2849,10 @@ const VSOP87Coefficient g_VSOP87D_L4_MERCURY[] = { 0.00000000000, 4.73086078962, 1059.38193018920 }, { 0.00000000000, 0.40939402954, 24498.83024629040 }, { 0.00000000000, 3.30678220146, 365230.64398203877 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_MERCURY[] = -{ +constexpr array g_VSOP87D_L5_MERCURY +{ { { 0.00000000877, 3.14159265359, 0.00000000000 }, { 0.00000000059, 3.37513289692, 52175.80628314840 }, { 0.00000000042, 0.02433099382, 78263.70942472259 }, @@ -2860,10 +2866,10 @@ const VSOP87Coefficient g_VSOP87D_L5_MERCURY[] = { 0.00000000001, 2.23688504668, 260879.03141574195 }, { 0.00000000001, 5.18718589133, 286966.93455731618 }, { 0.00000000000, 2.11315496491, 313054.83769889036 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_MERCURY[] = -{ +constexpr array g_VSOP87D_B0_MERCURY +{ { { 0.11737528962, 1.98357498767, 26087.90314157420 }, { 0.02388076996, 5.03738959685, 52175.80628314840 }, { 0.01222839532, 3.14159265359, 0.00000000000 }, @@ -3682,10 +3688,10 @@ const VSOP87Coefficient g_VSOP87D_B0_MERCURY[] = { 0.00000000004, 4.64327471216, 76255.15188556358 }, { 0.00000000004, 1.34781477964, 106684.80895916879 }, { 0.00000000004, 2.34997151211, 177287.84588263658 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_MERCURY[] = -{ +constexpr array g_VSOP87D_B1_MERCURY +{ { { 0.00429151362, 3.50169780393, 26087.90314157420 }, { 0.00146233668, 3.14159265359, 0.00000000000 }, { 0.00022675295, 0.01515366880, 52175.80628314840 }, @@ -4180,10 +4186,10 @@ const VSOP87Coefficient g_VSOP87D_B1_MERCURY[] = { 0.00000000002, 2.37593594042, 51951.46148744649 }, { 0.00000000003, 0.65556179120, 1692.16566950240 }, { 0.00000000002, 1.65727778641, 163766.09444104519 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_MERCURY[] = -{ +constexpr array g_VSOP87D_B2_MERCURY +{ { { 0.00011830934, 4.79065585784, 26087.90314157420 }, { 0.00001913516, 0.00000000000, 0.00000000000 }, { 0.00001044801, 1.21216540536, 52175.80628314840 }, @@ -4414,10 +4420,10 @@ const VSOP87Coefficient g_VSOP87D_B2_MERCURY[] = { 0.00000000001, 1.45442920390, 207593.84658050019 }, { 0.00000000001, 1.12941846578, 60055.89543648739 }, { 0.00000000001, 1.16964771504, 134991.46920492980 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_MERCURY[] = -{ +constexpr array g_VSOP87D_B3_MERCURY +{ { { 0.00000235423, 0.35387524604, 26087.90314157420 }, { 0.00000160537, 0.00000000000, 0.00000000000 }, { 0.00000018904, 4.36275460261, 52175.80628314840 }, @@ -4471,10 +4477,10 @@ const VSOP87Coefficient g_VSOP87D_B3_MERCURY[] = { 0.00000000001, 4.87981157471, 10213.28554621100 }, { 0.00000000001, 2.44816565966, 26084.02180621620 }, { 0.00000000000, 3.45284067711, 105460.99111839019 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_MERCURY[] = -{ +constexpr array g_VSOP87D_B4_MERCURY +{ { { 0.00000004276, 1.74579932115, 26087.90314157420 }, { 0.00000001023, 3.14159265359, 0.00000000000 }, { 0.00000000425, 4.03419509143, 52175.80628314840 }, @@ -4490,10 +4496,10 @@ const VSOP87Coefficient g_VSOP87D_B4_MERCURY[] = { 0.00000000001, 1.16082903756, 286966.93455731618 }, { 0.00000000000, 1.44918128781, 24978.52458948080 }, { 0.00000000000, 4.18046278690, 313054.83769889036 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_MERCURY[] = -{ +constexpr array g_VSOP87D_B5_MERCURY +{ { { 0.00000000106, 3.94555784256, 26087.90314157420 }, { 0.00000000075, 3.14159265359, 0.00000000000 }, { 0.00000000022, 1.30514874546, 52175.80628314840 }, @@ -4504,10 +4510,10 @@ const VSOP87Coefficient g_VSOP87D_B5_MERCURY[] = { 0.00000000001, 6.00841870284, 182615.32199101939 }, { 0.00000000000, 2.85941734701, 208703.22513259359 }, { 0.00000000000, 5.96962108614, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_MERCURY[] = -{ +constexpr array g_VSOP87D_R0_MERCURY +{ { { 0.39528271652, 0.00000000000, 0.00000000000 }, { 0.07834131817, 6.19233722599, 26087.90314157420 }, { 0.00795525557, 2.95989690096, 52175.80628314840 }, @@ -5723,10 +5729,10 @@ const VSOP87Coefficient g_VSOP87D_R0_MERCURY[] = { 0.00000000002, 3.91669753023, 76352.50994150539 }, { 0.00000000002, 3.05277164813, 225.82926841020 }, { 0.00000000001, 4.33602746737, 4601.95011896300 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_MERCURY[] = -{ +constexpr array g_VSOP87D_R1_MERCURY +{ { { 0.00217347739, 4.65617158663, 26087.90314157420 }, { 0.00044141826, 1.42385543975, 52175.80628314840 }, { 0.00010094479, 4.47466326316, 78263.70942472259 }, @@ -6438,10 +6444,10 @@ const VSOP87Coefficient g_VSOP87D_R1_MERCURY[] = { 0.00000000001, 5.60579347269, 153084.84390447979 }, { 0.00000000001, 4.92352598929, 51596.11869614960 }, { 0.00000000001, 6.10538330268, 181659.72224941078 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_MERCURY[] = -{ +constexpr array g_VSOP87D_R2_MERCURY +{ { { 0.00003117867, 3.08231840296, 26087.90314157420 }, { 0.00001245396, 6.15183317423, 52175.80628314840 }, { 0.00000424822, 2.92583352960, 78263.70942472259 }, @@ -6768,10 +6774,10 @@ const VSOP87Coefficient g_VSOP87D_R2_MERCURY[] = { 0.00000000000, 5.16843610094, 52698.38370124219 }, { 0.00000000000, 3.99449121788, 131395.11544947958 }, { 0.00000000000, 5.65446547429, 80596.90581759460 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_MERCURY[] = -{ +constexpr array g_VSOP87D_R3_MERCURY +{ { { 0.00000032676, 1.67971635359, 26087.90314157420 }, { 0.00000024166, 4.63403168997, 52175.80628314840 }, { 0.00000012133, 1.38983781545, 78263.70942472259 }, @@ -6891,10 +6897,10 @@ const VSOP87Coefficient g_VSOP87D_R3_MERCURY[] = { 0.00000000000, 5.63968341805, 103292.23063610759 }, { 0.00000000000, 1.86829495425, 48733.23133818299 }, { 0.00000000000, 5.77443179008, 105410.99449648599 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_MERCURY[] = -{ +constexpr array g_VSOP87D_R4_MERCURY +{ { { 0.00000000394, 0.36735403840, 26087.90314157420 }, { 0.00000000387, 3.18568771507, 52175.80628314840 }, { 0.00000000270, 6.16983616444, 78263.70942472259 }, @@ -6913,10 +6919,10 @@ const VSOP87Coefficient g_VSOP87D_R4_MERCURY[] = { 0.00000000000, 6.13600004668, 77154.33087262919 }, { 0.00000000000, 2.93310416266, 27197.28169366760 }, { 0.00000000000, 2.89897922039, 103242.23401420339 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_MERCURY[] = -{ +constexpr array g_VSOP87D_R5_MERCURY +{ { { 0.00000000006, 3.98900269603, 26087.90314157420 }, { 0.00000000006, 1.55248278782, 52175.80628314840 }, { 0.00000000005, 4.65461721116, 78263.70942472259 }, @@ -6927,68 +6933,67 @@ const VSOP87Coefficient g_VSOP87D_R5_MERCURY[] = { 0.00000000001, 4.26149026340, 182615.32199101939 }, { 0.00000000000, 0.99831133595, 208703.22513259359 }, { 0.00000000000, 4.00267064210, 234791.12827416777 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_MERCURY[] = -{ - { g_VSOP87D_L0_MERCURY, sizeof(g_VSOP87D_L0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_MERCURY, sizeof(g_VSOP87D_L1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_MERCURY, sizeof(g_VSOP87D_L2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_MERCURY, sizeof(g_VSOP87D_L3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_MERCURY, sizeof(g_VSOP87D_L4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_MERCURY, sizeof(g_VSOP87D_L5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_MERCURY +{ { + { g_VSOP87D_L0_MERCURY.data(), g_VSOP87D_L0_MERCURY.size() }, + { g_VSOP87D_L1_MERCURY.data(), g_VSOP87D_L1_MERCURY.size() }, + { g_VSOP87D_L2_MERCURY.data(), g_VSOP87D_L2_MERCURY.size() }, + { g_VSOP87D_L3_MERCURY.data(), g_VSOP87D_L3_MERCURY.size() }, + { g_VSOP87D_L4_MERCURY.data(), g_VSOP87D_L4_MERCURY.size() }, + { g_VSOP87D_L5_MERCURY.data(), g_VSOP87D_L5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_MERCURY[] = -{ - { g_VSOP87D_B0_MERCURY, sizeof(g_VSOP87D_B0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_MERCURY, sizeof(g_VSOP87D_B1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_MERCURY, sizeof(g_VSOP87D_B2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_MERCURY, sizeof(g_VSOP87D_B3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_MERCURY, sizeof(g_VSOP87D_B4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_MERCURY, sizeof(g_VSOP87D_B5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_MERCURY +{ { + { g_VSOP87D_B0_MERCURY.data(), g_VSOP87D_B0_MERCURY.size() }, + { g_VSOP87D_B1_MERCURY.data(), g_VSOP87D_B1_MERCURY.size() }, + { g_VSOP87D_B2_MERCURY.data(), g_VSOP87D_B2_MERCURY.size() }, + { g_VSOP87D_B3_MERCURY.data(), g_VSOP87D_B3_MERCURY.size() }, + { g_VSOP87D_B4_MERCURY.data(), g_VSOP87D_B4_MERCURY.size() }, + { g_VSOP87D_B5_MERCURY.data(), g_VSOP87D_B5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_MERCURY[] = -{ - { g_VSOP87D_R0_MERCURY, sizeof(g_VSOP87D_R0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_MERCURY, sizeof(g_VSOP87D_R1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_MERCURY, sizeof(g_VSOP87D_R2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_MERCURY, sizeof(g_VSOP87D_R3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_MERCURY, sizeof(g_VSOP87D_R4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_MERCURY, sizeof(g_VSOP87D_R5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_MERCURY +{ { + { g_VSOP87D_R0_MERCURY.data(), g_VSOP87D_R0_MERCURY.size() }, + { g_VSOP87D_R1_MERCURY.data(), g_VSOP87D_R1_MERCURY.size() }, + { g_VSOP87D_R2_MERCURY.data(), g_VSOP87D_R2_MERCURY.size() }, + { g_VSOP87D_R3_MERCURY.data(), g_VSOP87D_R3_MERCURY.size() }, + { g_VSOP87D_R4_MERCURY.data(), g_VSOP87D_R4_MERCURY.size() }, + { g_VSOP87D_R5_MERCURY.data(), g_VSOP87D_R5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Mercury::L(double JD) +double CAAVSOP87D_Mercury::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_MERCURY, sizeof(g_VSOP87D_L_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_MERCURY.data(), g_VSOP87D_L_MERCURY.size(), true); } -double CAAVSOP87D_Mercury::L_DASH(double JD) +double CAAVSOP87D_Mercury::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_MERCURY, sizeof(g_VSOP87D_L_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_MERCURY.data(), g_VSOP87D_L_MERCURY.size()); } -double CAAVSOP87D_Mercury::B(double JD) +double CAAVSOP87D_Mercury::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_MERCURY, sizeof(g_VSOP87D_B_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_MERCURY.data(), g_VSOP87D_B_MERCURY.size(), true); } -double CAAVSOP87D_Mercury::B_DASH(double JD) +double CAAVSOP87D_Mercury::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_MERCURY, sizeof(g_VSOP87D_B_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_MERCURY.data(), g_VSOP87D_B_MERCURY.size()); } -double CAAVSOP87D_Mercury::R(double JD) +double CAAVSOP87D_Mercury::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_MERCURY, sizeof(g_VSOP87D_R_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_MERCURY.data(), g_VSOP87D_R_MERCURY.size(), false); } -double CAAVSOP87D_Mercury::R_DASH(double JD) +double CAAVSOP87D_Mercury::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_MERCURY, sizeof(g_VSOP87D_R_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_MERCURY.data(), g_VSOP87D_R_MERCURY.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_NEP.cpp b/Sources/AAPlus/AAVSOP87D_NEP.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87D_NEP.cpp rename to Sources/AAPlus/AAVSOP87D_NEP.cpp index 222e954..a31ec17 --- a/Vendor/AA+/1.6.3/AAVSOP87D_NEP.cpp +++ b/Sources/AAPlus/AAVSOP87D_NEP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_NEPTUNE +{ { { 5.31188633047, 0.00000000000, 0.00000000000 }, { 0.01798475509, 2.90101273050, 38.13303563780 }, { 0.01019727662, 0.48580923660, 1.48447270830 }, @@ -455,10 +461,10 @@ const VSOP87Coefficient g_VSOP87D_L0_NEPTUNE[] = { 0.00000000090, 0.60145818457, 36.76043751410 }, { 0.00000000074, 4.92511651321, 1549.45538693770 }, { 0.00000000072, 5.06852406179, 249.94765836750 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_NEPTUNE[] = -{ +constexpr array g_VSOP87D_L1_NEPTUNE +{ { { 38.37687716731, 0.00000000000, 0.00000000000 }, { 0.00016604187, 4.86319129565, 1.48447270830 }, { 0.00015807148, 2.27923488532, 38.13303563780 }, @@ -642,10 +648,10 @@ const VSOP87Coefficient g_VSOP87D_L1_NEPTUNE[] = { 0.00000000095, 0.23111852730, 500.15594916590 }, { 0.00000000084, 2.64687252518, 536.80451209540 }, { 0.00000000074, 3.90678924318, 1019.76442184310 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_NEPTUNE[] = -{ +constexpr array g_VSOP87D_L2_NEPTUNE +{ { { 0.00053892649, 0.00000000000, 0.00000000000 }, { 0.00000281251, 1.19084538887, 38.13303563780 }, { 0.00000295693, 1.85520292248, 1.48447270830 }, @@ -703,10 +709,10 @@ const VSOP87Coefficient g_VSOP87D_L2_NEPTUNE[] = { 0.00000000136, 2.75150881988, 144.14657116320 }, { 0.00000000104, 6.03262825314, 529.69096509460 }, { 0.00000000076, 0.20932812381, 453.42489381900 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_NEPTUNE[] = -{ +constexpr array g_VSOP87D_L3_NEPTUNE +{ { { 0.00000031254, 0.00000000000, 0.00000000000 }, { 0.00000012461, 6.04431418812, 1.48447270830 }, { 0.00000014541, 1.35337075856, 76.26607127560 }, @@ -722,21 +728,21 @@ const VSOP87Coefficient g_VSOP87D_L3_NEPTUNE[] = { 0.00000000206, 2.51012178002, 74.78159856730 }, { 0.00000000160, 5.63111039032, 114.39910691340 }, { 0.00000000149, 3.09327713923, 35.16409022120 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_NEPTUNE[] = -{ +constexpr array g_VSOP87D_L4_NEPTUNE +{ { { 0.00000113998, 3.14159265359, 0.00000000000 }, { 0.00000000605, 3.18211885677, 76.26607127560 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_NEPTUNE[] = -{ +constexpr array g_VSOP87D_L5_NEPTUNE +{ { { 0.00000000874, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B0_NEPTUNE +{ { { 0.03088622933, 1.44104372626, 38.13303563780 }, { 0.00027780087, 5.91271882843, 76.26607127560 }, { 0.00027623609, 0.00000000000, 0.00000000000 }, @@ -909,10 +915,10 @@ const VSOP87Coefficient g_VSOP87D_B0_NEPTUNE[] = { 0.00000000080, 1.58140274465, 69.15252427480 }, { 0.00000000075, 0.23453373368, 63.73589830340 }, { 0.00000000071, 1.51961989690, 488.58898404020 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B1_NEPTUNE +{ { { 0.00227279214, 3.80793089870, 38.13303563780 }, { 0.00001803120, 1.97576485377, 76.26607127560 }, { 0.00001385733, 4.82555548018, 36.64856292950 }, @@ -995,10 +1001,10 @@ const VSOP87Coefficient g_VSOP87D_B1_NEPTUNE[] = { 0.00000000111, 3.56226463770, 181.75834193920 }, { 0.00000000082, 3.18401661435, 42.32582133180 }, { 0.00000000084, 5.51669920239, 8.07675484730 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B2_NEPTUNE +{ { { 0.00009690766, 5.57123750291, 38.13303563780 }, { 0.00000078815, 3.62705474219, 76.26607127560 }, { 0.00000071523, 0.45476688580, 36.64856292950 }, @@ -1024,10 +1030,10 @@ const VSOP87Coefficient g_VSOP87D_B2_NEPTUNE[] = { 0.00000000116, 3.63838544843, 112.91463420510 }, { 0.00000000085, 0.43712705655, 4.45341812490 }, { 0.00000000104, 6.12597614674, 144.14657116320 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B3_NEPTUNE +{ { { 0.00000273423, 1.01688979072, 38.13303563780 }, { 0.00000002274, 2.36805657126, 36.64856292950 }, { 0.00000002029, 5.33364321342, 76.26607127560 }, @@ -1037,20 +1043,20 @@ const VSOP87Coefficient g_VSOP87D_B3_NEPTUNE[] = { 0.00000000185, 1.04913770083, 74.78159856730 }, { 0.00000000155, 3.62376309338, 35.16409022120 }, { 0.00000000157, 3.94195369610, 1.48447270830 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B4_NEPTUNE +{ { { 0.00000005728, 2.66872693322, 38.13303563780 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_NEPTUNE[] = -{ +constexpr array g_VSOP87D_B5_NEPTUNE +{ { { 0.00000000113, 4.70646877989, 38.13303563780 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_NEPTUNE[] = -{ +constexpr array g_VSOP87D_R0_NEPTUNE +{ { { 30.07013206102, 0.00000000000, 0.00000000000 }, { 0.27062259490, 1.32999458930, 38.13303563780 }, { 0.01691764281, 3.25186138896, 36.64856292950 }, @@ -1658,10 +1664,10 @@ const VSOP87Coefficient g_VSOP87D_R0_NEPTUNE[] = { 0.00000002820, 6.18522693724, 556.51766803760 }, { 0.00000002266, 5.91286000054, 3.49021027840 }, { 0.00000002231, 1.45038594906, 196.50670080260 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_NEPTUNE[] = -{ +constexpr array g_VSOP87D_R1_NEPTUNE +{ { { 0.00236338502, 0.70498011235, 38.13303563780 }, { 0.00013220279, 3.32015499895, 1.48447270830 }, { 0.00008621863, 6.21628951630, 35.16409022120 }, @@ -1912,10 +1918,10 @@ const VSOP87Coefficient g_VSOP87D_R1_NEPTUNE[] = { 0.00000002324, 3.99503920129, 481.26298871830 }, { 0.00000002962, 1.74151265966, 2080.63082474060 }, { 0.00000002621, 1.74442251671, 35.21227433100 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_NEPTUNE[] = -{ +constexpr array g_VSOP87D_R2_NEPTUNE +{ { { 0.00004247412, 5.89910679117, 38.13303563780 }, { 0.00000217570, 0.34581829080, 1.48447270830 }, { 0.00000163025, 2.23872947130, 168.05251279940 }, @@ -1988,10 +1994,10 @@ const VSOP87Coefficient g_VSOP87D_R2_NEPTUNE[] = { 0.00000002500, 0.70282276030, 707.77778620160 }, { 0.00000002480, 4.59623030219, 693.55069220000 }, { 0.00000002253, 0.74334306011, 976.00231191280 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_NEPTUNE[] = -{ +constexpr array g_VSOP87D_R3_NEPTUNE +{ { { 0.00000166297, 4.55243893489, 38.13303563780 }, { 0.00000022380, 3.94830879358, 168.05251279940 }, { 0.00000021348, 2.86296778794, 182.27960680100 }, @@ -2014,10 +2020,10 @@ const VSOP87Coefficient g_VSOP87D_R3_NEPTUNE[] = { 0.00000002355, 5.77381398401, 485.92885516430 }, { 0.00000002874, 6.19643340540, 815.06334611420 }, { 0.00000002278, 3.66579603119, 497.18700374930 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_NEPTUNE[] = -{ +constexpr array g_VSOP87D_R4_NEPTUNE +{ { { 0.00000004227, 2.40375758563, 477.33083545520 }, { 0.00000004333, 0.10459484545, 395.57870223900 }, { 0.00000003545, 4.78431259422, 1028.36244155220 }, @@ -2025,67 +2031,66 @@ const VSOP87Coefficient g_VSOP87D_R4_NEPTUNE[] = { 0.00000003016, 1.03609346831, 189.39315380180 }, { 0.00000002294, 1.10879658603, 182.27960680100 }, { 0.00000002295, 5.67776133184, 168.05251279940 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_NEPTUNE[] = -{ - { g_VSOP87D_L0_NEPTUNE, sizeof(g_VSOP87D_L0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_NEPTUNE, sizeof(g_VSOP87D_L1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_NEPTUNE, sizeof(g_VSOP87D_L2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_NEPTUNE, sizeof(g_VSOP87D_L3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_NEPTUNE, sizeof(g_VSOP87D_L4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_NEPTUNE, sizeof(g_VSOP87D_L5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_NEPTUNE +{ { + { g_VSOP87D_L0_NEPTUNE.data(), g_VSOP87D_L0_NEPTUNE.size() }, + { g_VSOP87D_L1_NEPTUNE.data(), g_VSOP87D_L1_NEPTUNE.size() }, + { g_VSOP87D_L2_NEPTUNE.data(), g_VSOP87D_L2_NEPTUNE.size() }, + { g_VSOP87D_L3_NEPTUNE.data(), g_VSOP87D_L3_NEPTUNE.size() }, + { g_VSOP87D_L4_NEPTUNE.data(), g_VSOP87D_L4_NEPTUNE.size() }, + { g_VSOP87D_L5_NEPTUNE.data(), g_VSOP87D_L5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_NEPTUNE[] = -{ - { g_VSOP87D_B0_NEPTUNE, sizeof(g_VSOP87D_B0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_NEPTUNE, sizeof(g_VSOP87D_B1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_NEPTUNE, sizeof(g_VSOP87D_B2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_NEPTUNE, sizeof(g_VSOP87D_B3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_NEPTUNE, sizeof(g_VSOP87D_B4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_NEPTUNE, sizeof(g_VSOP87D_B5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_NEPTUNE +{ { + { g_VSOP87D_B0_NEPTUNE.data(), g_VSOP87D_B0_NEPTUNE.size() }, + { g_VSOP87D_B1_NEPTUNE.data(), g_VSOP87D_B1_NEPTUNE.size() }, + { g_VSOP87D_B2_NEPTUNE.data(), g_VSOP87D_B2_NEPTUNE.size() }, + { g_VSOP87D_B3_NEPTUNE.data(), g_VSOP87D_B3_NEPTUNE.size() }, + { g_VSOP87D_B4_NEPTUNE.data(), g_VSOP87D_B4_NEPTUNE.size() }, + { g_VSOP87D_B5_NEPTUNE.data(), g_VSOP87D_B5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_NEPTUNE[] = -{ - { g_VSOP87D_R0_NEPTUNE, sizeof(g_VSOP87D_R0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_NEPTUNE, sizeof(g_VSOP87D_R1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_NEPTUNE, sizeof(g_VSOP87D_R2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_NEPTUNE, sizeof(g_VSOP87D_R3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_NEPTUNE, sizeof(g_VSOP87D_R4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_NEPTUNE +{ { + { g_VSOP87D_R0_NEPTUNE.data(), g_VSOP87D_R0_NEPTUNE.size() }, + { g_VSOP87D_R1_NEPTUNE.data(), g_VSOP87D_R1_NEPTUNE.size() }, + { g_VSOP87D_R2_NEPTUNE.data(), g_VSOP87D_R2_NEPTUNE.size() }, + { g_VSOP87D_R3_NEPTUNE.data(), g_VSOP87D_R3_NEPTUNE.size() }, + { g_VSOP87D_R4_NEPTUNE.data(), g_VSOP87D_R4_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Neptune::L(double JD) +double CAAVSOP87D_Neptune::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_NEPTUNE, sizeof(g_VSOP87D_L_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_NEPTUNE.data(), g_VSOP87D_L_NEPTUNE.size(), true); } -double CAAVSOP87D_Neptune::L_DASH(double JD) +double CAAVSOP87D_Neptune::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_NEPTUNE, sizeof(g_VSOP87D_L_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_NEPTUNE.data(), g_VSOP87D_L_NEPTUNE.size()); } -double CAAVSOP87D_Neptune::B(double JD) +double CAAVSOP87D_Neptune::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_NEPTUNE, sizeof(g_VSOP87D_B_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_NEPTUNE.data(), g_VSOP87D_B_NEPTUNE.size(), true); } -double CAAVSOP87D_Neptune::B_DASH(double JD) +double CAAVSOP87D_Neptune::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_NEPTUNE, sizeof(g_VSOP87D_B_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_NEPTUNE.data(), g_VSOP87D_B_NEPTUNE.size()); } -double CAAVSOP87D_Neptune::R(double JD) +double CAAVSOP87D_Neptune::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_NEPTUNE, sizeof(g_VSOP87D_R_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_NEPTUNE.data(), g_VSOP87D_R_NEPTUNE.size(), false); } -double CAAVSOP87D_Neptune::R_DASH(double JD) +double CAAVSOP87D_Neptune::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_NEPTUNE, sizeof(g_VSOP87D_R_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_NEPTUNE.data(), g_VSOP87D_R_NEPTUNE.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_SAT.cpp b/Sources/AAPlus/AAVSOP87D_SAT.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87D_SAT.cpp rename to Sources/AAPlus/AAVSOP87D_SAT.cpp index d7f40db..853e336 --- a/Vendor/AA+/1.6.3/AAVSOP87D_SAT.cpp +++ b/Sources/AAPlus/AAVSOP87D_SAT.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_SATURN +{ { { 0.87401354029, 0.00000000000, 0.00000000000 }, { 0.11107659780, 3.96205090194, 213.29909543800 }, { 0.01414150958, 4.58581515873, 7.11354700080 }, @@ -1184,10 +1190,10 @@ const VSOP87Coefficient g_VSOP87D_L0_SATURN[] = { 0.00000000072, 0.99858616883, 280.21638747910 }, { 0.00000000099, 0.15018241445, 186.21176006410 }, { 0.00000000072, 5.15715918322, 110.15813710960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_SATURN[] = -{ +constexpr array g_VSOP87D_L1_SATURN +{ { { 213.54295595986, 0.00000000000, 0.00000000000 }, { 0.01296855005, 1.82820544701, 213.29909543800 }, { 0.00564347566, 2.88500136429, 7.11354700080 }, @@ -1830,10 +1836,10 @@ const VSOP87Coefficient g_VSOP87D_L1_SATURN[] = { 0.00000000087, 3.12477195090, 857.12853501510 }, { 0.00000000078, 5.59819387460, 364.34676528090 }, { 0.00000000079, 3.53267171729, 969.62247809490 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_SATURN[] = -{ +constexpr array g_VSOP87D_L2_SATURN +{ { { 0.00116441181, 1.17987850633, 7.11354700080 }, { 0.00091920844, 0.07425261094, 213.29909543800 }, { 0.00090592251, 0.00000000000, 0.00000000000 }, @@ -2155,10 +2161,10 @@ const VSOP87Coefficient g_VSOP87D_L2_SATURN[] = { 0.00000000077, 1.89354243952, 556.51766803760 }, { 0.00000000073, 4.85923277221, 2118.76386037840 }, { 0.00000000071, 3.64551577433, 198.32124191100 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_SATURN[] = -{ +constexpr array g_VSOP87D_L3_SATURN +{ { { 0.00016038734, 5.73945377424, 7.11354700080 }, { 0.00004249793, 4.58539675603, 213.29909543800 }, { 0.00001906524, 4.76082050205, 220.41264243880 }, @@ -2307,10 +2313,10 @@ const VSOP87Coefficient g_VSOP87D_L3_SATURN[] = { 0.00000000091, 4.53336314765, 241.75328344120 }, { 0.00000000072, 3.74361312157, 1485.98012106520 }, { 0.00000000076, 3.33892447677, 195.89060769870 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_SATURN[] = -{ +constexpr array g_VSOP87D_L4_SATURN +{ { { 0.00001661894, 3.99826248978, 7.11354700080 }, { 0.00000257107, 2.98436499013, 220.41264243880 }, { 0.00000236344, 3.90241428075, 14.22709400160 }, @@ -2379,10 +2385,10 @@ const VSOP87Coefficient g_VSOP87D_L4_SATURN[] = { 0.00000000146, 6.16519696640, 316.39186965660 }, { 0.00000000096, 2.93247663741, 224.34479570190 }, { 0.00000000088, 4.48383632427, 423.41679713830 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_SATURN[] = -{ +constexpr array g_VSOP87D_L5_SATURN +{ { { 0.00000123615, 2.25923345732, 7.11354700080 }, { 0.00000034190, 2.16250652689, 14.22709400160 }, { 0.00000027546, 1.19868150215, 220.41264243880 }, @@ -2410,10 +2416,10 @@ const VSOP87Coefficient g_VSOP87D_L5_SATURN[] = { 0.00000000155, 4.70433216164, 860.30992875280 }, { 0.00000000089, 1.36371070380, 412.37109687440 }, { 0.00000000102, 0.49450039082, 117.31986822020 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_SATURN[] = -{ +constexpr array g_VSOP87D_B0_SATURN +{ { { 0.04330678040, 3.60284428399, 213.29909543800 }, { 0.00240348303, 2.85238489390, 426.59819087600 }, { 0.00084745939, 0.00000000000, 0.00000000000 }, @@ -2914,10 +2920,10 @@ const VSOP87Coefficient g_VSOP87D_B0_SATURN[] = { 0.00000000080, 0.88468467902, 856.37777548970 }, { 0.00000000072, 4.85259171933, 392.65794093220 }, { 0.00000000083, 0.11133738383, 402.21916848780 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_SATURN[] = -{ +constexpr array g_VSOP87D_B1_SATURN +{ { { 0.00397554998, 5.33289992556, 213.29909543800 }, { 0.00049478641, 3.14159265359, 0.00000000000 }, { 0.00018571607, 6.09919206378, 426.59819087600 }, @@ -3178,10 +3184,10 @@ const VSOP87Coefficient g_VSOP87D_B1_SATURN[] = { 0.00000000072, 2.05164614795, 2634.22773147140 }, { 0.00000000091, 5.97938003596, 556.51766803760 }, { 0.00000000087, 2.71469794199, 617.80588578620 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_SATURN[] = -{ +constexpr array g_VSOP87D_B2_SATURN +{ { { 0.00020629977, 0.50482422817, 213.29909543800 }, { 0.00003719555, 3.99833475829, 206.18554843720 }, { 0.00001627158, 6.18189939500, 220.41264243880 }, @@ -3293,10 +3299,10 @@ const VSOP87Coefficient g_VSOP87D_B2_SATURN[] = { 0.00000000085, 0.18997660997, 1258.45393162560 }, { 0.00000000081, 1.16732337173, 217.96496188400 }, { 0.00000000072, 5.47328223678, 337.73251065900 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_SATURN[] = -{ +constexpr array g_VSOP87D_B3_SATURN +{ { { 0.00000666252, 1.99006340181, 213.29909543800 }, { 0.00000632350, 5.69778316807, 206.18554843720 }, { 0.00000398051, 0.00000000000, 0.00000000000 }, @@ -3355,10 +3361,10 @@ const VSOP87Coefficient g_VSOP87D_B3_SATURN[] = { 0.00000000077, 6.04074586787, 838.96928775040 }, { 0.00000000085, 1.18898817378, 728.76296653100 }, { 0.00000000084, 4.10158366806, 224.34479570190 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_SATURN[] = -{ +constexpr array g_VSOP87D_B4_SATURN +{ { { 0.00000080384, 1.11918414679, 206.18554843720 }, { 0.00000031660, 3.12218745098, 213.29909543800 }, { 0.00000017143, 2.48073200414, 220.41264243880 }, @@ -3385,10 +3391,10 @@ const VSOP87Coefficient g_VSOP87D_B4_SATURN[] = { 0.00000000112, 0.85526419268, 654.12438031560 }, { 0.00000000115, 5.03884718594, 117.31986822020 }, { 0.00000000115, 0.44589613974, 110.20632121940 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_SATURN[] = -{ +constexpr array g_VSOP87D_B5_SATURN +{ { { 0.00000007895, 2.81927558645, 206.18554843720 }, { 0.00000001014, 0.51187210270, 220.41264243880 }, { 0.00000000772, 2.99484124049, 199.07200143640 }, @@ -3400,10 +3406,10 @@ const VSOP87Coefficient g_VSOP87D_B5_SATURN[] = { 0.00000000091, 5.81659714144, 7.11354700080 }, { 0.00000000088, 6.17828532308, 440.82528487760 }, { 0.00000000089, 0.58396864530, 213.29909543800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_SATURN[] = -{ +constexpr array g_VSOP87D_R0_SATURN +{ { { 9.55758135801, 0.00000000000, 0.00000000000 }, { 0.52921382465, 2.39226219733, 213.29909543800 }, { 0.01873679934, 5.23549605091, 206.18554843720 }, @@ -4609,10 +4615,10 @@ const VSOP87Coefficient g_VSOP87D_R0_SATURN[] = { 0.00000000823, 3.50224755884, 877.57540414020 }, { 0.00000000827, 2.59300433753, 232.94281541100 }, { 0.00000000735, 3.05650026582, 66.91729204110 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_SATURN[] = -{ +constexpr array g_VSOP87D_R1_SATURN +{ { { 0.06182981282, 0.25843515034, 213.29909543800 }, { 0.00506577574, 0.71114650941, 206.18554843720 }, { 0.00341394136, 5.79635773960, 426.59819087600 }, @@ -5252,10 +5258,10 @@ const VSOP87Coefficient g_VSOP87D_R1_SATURN[] = { 0.00000000939, 0.46037763932, 5488.86810538160 }, { 0.00000000939, 1.85473712038, 5062.26991450560 }, { 0.00000000721, 1.62872794201, 2200.51599359460 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_SATURN[] = -{ +constexpr array g_VSOP87D_R2_SATURN +{ { { 0.00436902464, 4.78671673044, 213.29909543800 }, { 0.00071922760, 2.50069994874, 206.18554843720 }, { 0.00049766792, 4.97168150870, 220.41264243880 }, @@ -5598,10 +5604,10 @@ const VSOP87Coefficient g_VSOP87D_R2_SATURN[] = { 0.00000000683, 2.68825142163, 151.04766984290 }, { 0.00000000739, 3.33688408107, 953.10776223290 }, { 0.00000000745, 6.22304530635, 1269.49963188950 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_SATURN[] = -{ +constexpr array g_VSOP87D_R3_SATURN +{ { { 0.00020315005, 3.02186626038, 213.29909543800 }, { 0.00008923581, 3.19144205755, 220.41264243880 }, { 0.00006908677, 4.35174889353, 206.18554843720 }, @@ -5759,10 +5765,10 @@ const VSOP87Coefficient g_VSOP87D_R3_SATURN[] = { 0.00000000717, 5.92144324994, 1685.05212250160 }, { 0.00000000772, 1.15596098579, 3053.71237534660 }, { 0.00000000691, 3.13193109668, 56.62235130260 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_SATURN[] = -{ +constexpr array g_VSOP87D_R4_SATURN +{ { { 0.00001202050, 1.41499446465, 220.41264243880 }, { 0.00000707796, 1.16153570102, 213.29909543800 }, { 0.00000516121, 6.23973568330, 206.18554843720 }, @@ -5827,10 +5833,10 @@ const VSOP87Coefficient g_VSOP87D_R4_SATURN[] = { 0.00000000780, 2.72125404102, 508.35032409220 }, { 0.00000000969, 1.00708261792, 1045.15483618760 }, { 0.00000000716, 1.11042181341, 1169.58825140860 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_SATURN[] = -{ +constexpr array g_VSOP87D_R5_SATURN +{ { { 0.00000128612, 5.91282565136, 220.41264243880 }, { 0.00000032273, 0.69256228602, 7.11354700080 }, { 0.00000026698, 5.91428528629, 227.52618943960 }, @@ -5859,68 +5865,67 @@ const VSOP87Coefficient g_VSOP87D_R5_SATURN[] = { 0.00000001141, 0.15741228205, 412.37109687440 }, { 0.00000000798, 0.37452846153, 28.45418800320 }, { 0.00000000837, 5.04769794123, 124.43341522100 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_SATURN[] = -{ - { g_VSOP87D_L0_SATURN, sizeof(g_VSOP87D_L0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_SATURN, sizeof(g_VSOP87D_L1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_SATURN, sizeof(g_VSOP87D_L2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_SATURN, sizeof(g_VSOP87D_L3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_SATURN, sizeof(g_VSOP87D_L4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_SATURN, sizeof(g_VSOP87D_L5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_SATURN +{ { + { g_VSOP87D_L0_SATURN.data(), g_VSOP87D_L0_SATURN.size() }, + { g_VSOP87D_L1_SATURN.data(), g_VSOP87D_L1_SATURN.size() }, + { g_VSOP87D_L2_SATURN.data(), g_VSOP87D_L2_SATURN.size() }, + { g_VSOP87D_L3_SATURN.data(), g_VSOP87D_L3_SATURN.size() }, + { g_VSOP87D_L4_SATURN.data(), g_VSOP87D_L4_SATURN.size() }, + { g_VSOP87D_L5_SATURN.data(), g_VSOP87D_L5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_SATURN[] = -{ - { g_VSOP87D_B0_SATURN, sizeof(g_VSOP87D_B0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_SATURN, sizeof(g_VSOP87D_B1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_SATURN, sizeof(g_VSOP87D_B2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_SATURN, sizeof(g_VSOP87D_B3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_SATURN, sizeof(g_VSOP87D_B4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_SATURN, sizeof(g_VSOP87D_B5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_SATURN +{ { + { g_VSOP87D_B0_SATURN.data(), g_VSOP87D_B0_SATURN.size() }, + { g_VSOP87D_B1_SATURN.data(), g_VSOP87D_B1_SATURN.size() }, + { g_VSOP87D_B2_SATURN.data(), g_VSOP87D_B2_SATURN.size() }, + { g_VSOP87D_B3_SATURN.data(), g_VSOP87D_B3_SATURN.size() }, + { g_VSOP87D_B4_SATURN.data(), g_VSOP87D_B4_SATURN.size() }, + { g_VSOP87D_B5_SATURN.data(), g_VSOP87D_B5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_SATURN[] = -{ - { g_VSOP87D_R0_SATURN, sizeof(g_VSOP87D_R0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_SATURN, sizeof(g_VSOP87D_R1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_SATURN, sizeof(g_VSOP87D_R2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_SATURN, sizeof(g_VSOP87D_R3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_SATURN, sizeof(g_VSOP87D_R4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_SATURN, sizeof(g_VSOP87D_R5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_SATURN +{ { + { g_VSOP87D_R0_SATURN.data(), g_VSOP87D_R0_SATURN.size() }, + { g_VSOP87D_R1_SATURN.data(), g_VSOP87D_R1_SATURN.size() }, + { g_VSOP87D_R2_SATURN.data(), g_VSOP87D_R2_SATURN.size() }, + { g_VSOP87D_R3_SATURN.data(), g_VSOP87D_R3_SATURN.size() }, + { g_VSOP87D_R4_SATURN.data(), g_VSOP87D_R4_SATURN.size() }, + { g_VSOP87D_R5_SATURN.data(), g_VSOP87D_R5_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Saturn::L(double JD) +double CAAVSOP87D_Saturn::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_SATURN, sizeof(g_VSOP87D_L_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_SATURN.data(), g_VSOP87D_L_SATURN.size(), true); } -double CAAVSOP87D_Saturn::L_DASH(double JD) +double CAAVSOP87D_Saturn::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_SATURN, sizeof(g_VSOP87D_L_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_SATURN.data(), g_VSOP87D_L_SATURN.size()); } -double CAAVSOP87D_Saturn::B(double JD) +double CAAVSOP87D_Saturn::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_SATURN, sizeof(g_VSOP87D_B_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_SATURN.data(), g_VSOP87D_B_SATURN.size(), true); } -double CAAVSOP87D_Saturn::B_DASH(double JD) +double CAAVSOP87D_Saturn::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_SATURN, sizeof(g_VSOP87D_B_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_SATURN.data(), g_VSOP87D_B_SATURN.size()); } -double CAAVSOP87D_Saturn::R(double JD) +double CAAVSOP87D_Saturn::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_SATURN, sizeof(g_VSOP87D_R_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_SATURN.data(), g_VSOP87D_R_SATURN.size(), false); } -double CAAVSOP87D_Saturn::R_DASH(double JD) +double CAAVSOP87D_Saturn::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_SATURN, sizeof(g_VSOP87D_R_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_SATURN.data(), g_VSOP87D_R_SATURN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_URA.cpp b/Sources/AAPlus/AAVSOP87D_URA.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87D_URA.cpp rename to Sources/AAPlus/AAVSOP87D_URA.cpp index be62b95..136bfe7 --- a/Vendor/AA+/1.6.3/AAVSOP87D_URA.cpp +++ b/Sources/AAPlus/AAVSOP87D_URA.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_URANUS +{ { { 5.48129294299, 0.00000000000, 0.00000000000 }, { 0.09260408252, 0.89106421530, 74.78159856730 }, { 0.01504247826, 3.62719262195, 1.48447270830 }, @@ -979,10 +985,10 @@ const VSOP87Coefficient g_VSOP87D_L0_URANUS[] = { 0.00000000114, 4.48142283161, 224.86606056370 }, { 0.00000000117, 5.37802827323, 293.70976829780 }, { 0.00000000136, 2.80772094137, 374.49869366750 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_URANUS[] = -{ +constexpr array g_VSOP87D_L1_URANUS +{ { { 75.02543121646, 0.00000000000, 0.00000000000 }, { 0.00154458244, 5.24201658072, 74.78159856730 }, { 0.00024456413, 1.71255705309, 1.48447270830 }, @@ -1409,10 +1415,10 @@ const VSOP87Coefficient g_VSOP87D_L1_URANUS[] = { 0.00000000144, 2.59058085010, 217.23124870110 }, { 0.00000000167, 2.74604167580, 69.15252427480 }, { 0.00000000129, 2.87574897902, 156.15547927360 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_URANUS[] = -{ +constexpr array g_VSOP87D_L2_URANUS +{ { { 0.00053033277, 0.00000000000, 0.00000000000 }, { 0.00002357636, 2.26014661705, 74.78159856730 }, { 0.00000769129, 4.52561041823, 11.04570026390 }, @@ -1564,10 +1570,10 @@ const VSOP87Coefficient g_VSOP87D_L2_URANUS[] = { 0.00000000180, 0.80198096578, 183.24281464750 }, { 0.00000000131, 2.73236351123, 522.57741809380 }, { 0.00000000142, 5.03489222377, 536.80451209540 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_URANUS[] = -{ +constexpr array g_VSOP87D_L3_URANUS +{ { { 0.00000120936, 0.02418789918, 74.78159856730 }, { 0.00000068064, 4.12084267733, 3.93215326310 }, { 0.00000052828, 2.38964061260, 11.04570026390 }, @@ -1614,10 +1620,10 @@ const VSOP87Coefficient g_VSOP87D_L3_URANUS[] = { 0.00000000145, 2.75632381347, 92.94084583200 }, { 0.00000000149, 0.13764106563, 71.81265315070 }, { 0.00000000156, 2.90936922804, 153.49535039770 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_URANUS[] = -{ +constexpr array g_VSOP87D_L4_URANUS +{ { { 0.00000113855, 3.14159265359, 0.00000000000 }, { 0.00000005599, 4.57882424417, 74.78159856730 }, { 0.00000003203, 0.34623003207, 11.04570026390 }, @@ -1625,15 +1631,15 @@ const VSOP87Coefficient g_VSOP87D_L4_URANUS[] = { 0.00000000634, 4.65759668097, 18.15924726470 }, { 0.00000000171, 3.80393539303, 149.56319713460 }, { 0.00000000133, 4.35519131657, 63.73589830340 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_URANUS[] = -{ +constexpr array g_VSOP87D_L5_URANUS +{ { { 0.00000000873, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_URANUS[] = -{ +constexpr array g_VSOP87D_B0_URANUS +{ { { 0.01346277639, 2.61877810545, 74.78159856730 }, { 0.00062341405, 5.08111175856, 149.56319713460 }, { 0.00061601203, 3.14159265359, 0.00000000000 }, @@ -1917,10 +1923,10 @@ const VSOP87Coefficient g_VSOP87D_B0_URANUS[] = { 0.00000000125, 4.24724390191, 248.72381809010 }, { 0.00000000120, 4.08565783859, 154.97982310600 }, { 0.00000000133, 3.16576403244, 262.47783133970 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_URANUS[] = -{ +constexpr array g_VSOP87D_B1_URANUS +{ { { 0.00206366162, 4.12394311407, 74.78159856730 }, { 0.00008563230, 0.33819986165, 149.56319713460 }, { 0.00001725703, 2.12193159895, 73.29712585900 }, @@ -2075,10 +2081,10 @@ const VSOP87Coefficient g_VSOP87D_B1_URANUS[] = { 0.00000000121, 2.13544759505, 209.36694217490 }, { 0.00000000121, 6.08239076370, 260.99335863140 }, { 0.00000000154, 4.18369977366, 39.35687591520 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_URANUS[] = -{ +constexpr array g_VSOP87D_B2_URANUS +{ { { 0.00009211656, 5.80044305785, 74.78159856730 }, { 0.00000556926, 0.00000000000, 0.00000000000 }, { 0.00000286265, 2.17729776353, 149.56319713460 }, @@ -2139,10 +2145,10 @@ const VSOP87Coefficient g_VSOP87D_B2_URANUS[] = { 0.00000000134, 1.29065526326, 206.18554843720 }, { 0.00000000127, 6.17908901556, 62.25142559510 }, { 0.00000000116, 6.26646620658, 220.41264243880 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_URANUS[] = -{ +constexpr array g_VSOP87D_B3_URANUS +{ { { 0.00000267832, 1.25097888291, 74.78159856730 }, { 0.00000011048, 3.14159265359, 0.00000000000 }, { 0.00000006154, 4.00663614486, 149.56319713460 }, @@ -2159,16 +2165,16 @@ const VSOP87Coefficient g_VSOP87D_B3_URANUS[] = { 0.00000000180, 5.55657564049, 3.93215326310 }, { 0.00000000168, 4.67745630044, 70.84944530420 }, { 0.00000000170, 2.93672195979, 11.04570026390 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_URANUS[] = -{ +constexpr array g_VSOP87D_B4_URANUS +{ { { 0.00000005719, 2.85499529315, 74.78159856730 }, { 0.00000000300, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_URANUS[] = -{ +constexpr array g_VSOP87D_R0_URANUS +{ { { 19.21264847881, 0.00000000000, 0.00000000000 }, { 0.88784984055, 5.60377526994, 74.78159856730 }, { 0.03440835545, 0.32836098991, 73.29712585900 }, @@ -3293,10 +3299,10 @@ const VSOP87Coefficient g_VSOP87D_R0_URANUS[] = { 0.00000002181, 5.39048760967, 318.67949151700 }, { 0.00000002317, 6.27946729049, 493.04240216510 }, { 0.00000002420, 3.66436222896, 3.62333672240 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_URANUS[] = -{ +constexpr array g_VSOP87D_R1_URANUS +{ { { 0.01479896370, 3.67205705317, 74.78159856730 }, { 0.00071212085, 6.22601006675, 63.73589830340 }, { 0.00068626972, 6.13411265052, 149.56319713460 }, @@ -3811,10 +3817,10 @@ const VSOP87Coefficient g_VSOP87D_R1_URANUS[] = { 0.00000002355, 0.48259604722, 74.94165726170 }, { 0.00000002185, 6.07997119980, 63.62402371880 }, { 0.00000002228, 1.42452148910, 6219.33995168800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_URANUS[] = -{ +constexpr array g_VSOP87D_R2_URANUS +{ { { 0.00022439904, 0.69953118760, 74.78159856730 }, { 0.00004727037, 1.69901641488, 63.73589830340 }, { 0.00001681903, 4.64833551727, 70.84944530420 }, @@ -4007,10 +4013,10 @@ const VSOP87Coefficient g_VSOP87D_R2_URANUS[] = { 0.00000002568, 1.09886876369, 913.00012679230 }, { 0.00000002236, 6.10115874045, 140.00196957900 }, { 0.00000003053, 5.35047433775, 681.54178408960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_URANUS[] = -{ +constexpr array g_VSOP87D_R3_URANUS +{ { { 0.00001164382, 4.73453291602, 74.78159856730 }, { 0.00000212367, 3.34255734999, 63.73589830340 }, { 0.00000196408, 2.98004616318, 70.84944530420 }, @@ -4066,10 +4072,10 @@ const VSOP87Coefficient g_VSOP87D_R3_URANUS[] = { 0.00000002254, 5.77129530133, 84.34282612290 }, { 0.00000002291, 4.81424601600, 536.80451209540 }, { 0.00000002213, 2.20360299816, 465.95506679120 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_URANUS[] = -{ +constexpr array g_VSOP87D_R4_URANUS +{ { { 0.00000052996, 3.00838033088, 74.78159856730 }, { 0.00000009887, 1.91399083603, 56.62235130260 }, { 0.00000007008, 5.08677527404, 11.04570026390 }, @@ -4081,66 +4087,65 @@ const VSOP87Coefficient g_VSOP87D_R4_URANUS[] = { 0.00000002383, 6.21390585593, 358.93013930950 }, { 0.00000002288, 2.23425399117, 440.68227252570 }, { 0.00000003093, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_URANUS[] = -{ - { g_VSOP87D_L0_URANUS, sizeof(g_VSOP87D_L0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_URANUS, sizeof(g_VSOP87D_L1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_URANUS, sizeof(g_VSOP87D_L2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_URANUS, sizeof(g_VSOP87D_L3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_URANUS, sizeof(g_VSOP87D_L4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_URANUS, sizeof(g_VSOP87D_L5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_URANUS +{ { + { g_VSOP87D_L0_URANUS.data(), g_VSOP87D_L0_URANUS.size() }, + { g_VSOP87D_L1_URANUS.data(), g_VSOP87D_L1_URANUS.size() }, + { g_VSOP87D_L2_URANUS.data(), g_VSOP87D_L2_URANUS.size() }, + { g_VSOP87D_L3_URANUS.data(), g_VSOP87D_L3_URANUS.size() }, + { g_VSOP87D_L4_URANUS.data(), g_VSOP87D_L4_URANUS.size() }, + { g_VSOP87D_L5_URANUS.data(), g_VSOP87D_L5_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_URANUS[] = -{ - { g_VSOP87D_B0_URANUS, sizeof(g_VSOP87D_B0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_URANUS, sizeof(g_VSOP87D_B1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_URANUS, sizeof(g_VSOP87D_B2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_URANUS, sizeof(g_VSOP87D_B3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_URANUS, sizeof(g_VSOP87D_B4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_URANUS +{ { + { g_VSOP87D_B0_URANUS.data(), g_VSOP87D_B0_URANUS.size() }, + { g_VSOP87D_B1_URANUS.data(), g_VSOP87D_B1_URANUS.size() }, + { g_VSOP87D_B2_URANUS.data(), g_VSOP87D_B2_URANUS.size() }, + { g_VSOP87D_B3_URANUS.data(), g_VSOP87D_B3_URANUS.size() }, + { g_VSOP87D_B4_URANUS.data(), g_VSOP87D_B4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_URANUS[] = -{ - { g_VSOP87D_R0_URANUS, sizeof(g_VSOP87D_R0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_URANUS, sizeof(g_VSOP87D_R1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_URANUS, sizeof(g_VSOP87D_R2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_URANUS, sizeof(g_VSOP87D_R3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_URANUS, sizeof(g_VSOP87D_R4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_URANUS +{ { + { g_VSOP87D_R0_URANUS.data(), g_VSOP87D_R0_URANUS.size() }, + { g_VSOP87D_R1_URANUS.data(), g_VSOP87D_R1_URANUS.size() }, + { g_VSOP87D_R2_URANUS.data(), g_VSOP87D_R2_URANUS.size() }, + { g_VSOP87D_R3_URANUS.data(), g_VSOP87D_R3_URANUS.size() }, + { g_VSOP87D_R4_URANUS.data(), g_VSOP87D_R4_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Uranus::L(double JD) +double CAAVSOP87D_Uranus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_URANUS, sizeof(g_VSOP87D_L_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_URANUS.data(), g_VSOP87D_L_URANUS.size(), true); } -double CAAVSOP87D_Uranus::L_DASH(double JD) +double CAAVSOP87D_Uranus::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_URANUS, sizeof(g_VSOP87D_L_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_URANUS.data(), g_VSOP87D_L_URANUS.size()); } -double CAAVSOP87D_Uranus::B(double JD) +double CAAVSOP87D_Uranus::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_URANUS, sizeof(g_VSOP87D_B_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_URANUS.data(), g_VSOP87D_B_URANUS.size(), true); } -double CAAVSOP87D_Uranus::B_DASH(double JD) +double CAAVSOP87D_Uranus::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_URANUS, sizeof(g_VSOP87D_B_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_URANUS.data(), g_VSOP87D_B_URANUS.size()); } -double CAAVSOP87D_Uranus::R(double JD) +double CAAVSOP87D_Uranus::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_URANUS, sizeof(g_VSOP87D_R_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_URANUS.data(), g_VSOP87D_R_URANUS.size(), false); } -double CAAVSOP87D_Uranus::R_DASH(double JD) +double CAAVSOP87D_Uranus::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_URANUS, sizeof(g_VSOP87D_R_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_URANUS.data(), g_VSOP87D_R_URANUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_VEN.cpp b/Sources/AAPlus/AAVSOP87D_VEN.cpp old mode 100755 new mode 100644 similarity index 95% rename from Vendor/AA+/1.6.3/AAVSOP87D_VEN.cpp rename to Sources/AAPlus/AAVSOP87D_VEN.cpp index 4f3245d..d23d7c5 --- a/Vendor/AA+/1.6.3/AAVSOP87D_VEN.cpp +++ b/Sources/AAPlus/AAVSOP87D_VEN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_VENUS +{ { { 3.17614666774, 0.00000000000, 0.00000000000 }, { 0.01353968419, 5.59313319619, 10213.28554621100 }, { 0.00089891645, 5.30650048468, 20426.57109242200 }, @@ -399,10 +405,10 @@ const VSOP87Coefficient g_VSOP87D_L0_VENUS[] = { 0.00000000048, 1.52546758016, 20639.87018786000 }, { 0.00000000046, 4.41738494249, 34570.06633485260 }, { 0.00000000037, 4.69675087759, 44007.82926973960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_VENUS[] = -{ +constexpr array g_VSOP87D_L1_VENUS +{ { { 10213.52943052898, 0.00000000000, 0.00000000000 }, { 0.00095707712, 2.46424448979, 10213.28554621100 }, { 0.00014444977, 0.51624564679, 20426.57109242200 }, @@ -618,10 +624,10 @@ const VSOP87Coefficient g_VSOP87D_L1_VENUS[] = { 0.00000000037, 3.66792179278, 20956.26205751660 }, { 0.00000000025, 3.38876180652, 7058.59846131540 }, { 0.00000000031, 6.16829805337, 10192.51015071860 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_VENUS[] = -{ +constexpr array g_VSOP87D_L2_VENUS +{ { { 0.00054127076, 0.00000000000, 0.00000000000 }, { 0.00003891460, 0.34514360047, 10213.28554621100 }, { 0.00001337880, 2.02011286082, 20426.57109242200 }, @@ -692,10 +698,10 @@ const VSOP87Coefficient g_VSOP87D_L2_VENUS[] = { 0.00000000013, 4.72171283479, 29864.33402730900 }, { 0.00000000013, 5.79700427846, 29580.47470844380 }, { 0.00000000014, 3.69205225010, 27511.46787353720 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_VENUS[] = -{ +constexpr array g_VSOP87D_L3_VENUS +{ { { 0.00000135742, 4.80389020993, 10213.28554621100 }, { 0.00000077846, 3.66876371591, 20426.57109242200 }, { 0.00000026023, 0.00000000000, 0.00000000000 }, @@ -705,28 +711,28 @@ const VSOP87Coefficient g_VSOP87D_L3_VENUS[] = { 0.00000000008, 1.40501229148, 1577.34354244780 }, { 0.00000000006, 1.27791479726, 10404.73381232260 }, { 0.00000000006, 5.76447068962, 10239.58386601080 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_VENUS[] = -{ +constexpr array g_VSOP87D_L4_VENUS +{ { { 0.00000114016, 3.14159265359, 0.00000000000 }, { 0.00000003209, 5.20514170164, 20426.57109242200 }, { 0.00000001714, 2.51099591706, 10213.28554621100 }, { 0.00000000050, 0.71356059861, 30639.85663863300 }, { 0.00000000023, 5.68127607034, 40853.14218484400 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_VENUS[] = -{ +constexpr array g_VSOP87D_L5_VENUS +{ { { 0.00000000874, 3.14159265359, 0.00000000000 }, { 0.00000000117, 0.54643013000, 20426.57109242200 }, { 0.00000000118, 1.90548541922, 10213.28554621100 }, { 0.00000000002, 1.07734277826, 40853.14218484400 }, { 0.00000000002, 1.89460223529, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_VENUS[] = -{ +constexpr array g_VSOP87D_B0_VENUS +{ { { 0.05923638472, 0.26702775813, 10213.28554621100 }, { 0.00040107978, 1.14737178106, 20426.57109242200 }, { 0.00032814918, 3.14159265359, 0.00000000000 }, @@ -937,10 +943,10 @@ const VSOP87Coefficient g_VSOP87D_B0_VENUS[] = { 0.00000000054, 5.89684197257, 19903.99367432819 }, { 0.00000000040, 5.32101847424, 42430.48572729180 }, { 0.00000000051, 5.29186795569, 29587.58825544460 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_VENUS[] = -{ +constexpr array g_VSOP87D_B1_VENUS +{ { { 0.00513347602, 1.80364310797, 10213.28554621100 }, { 0.00004380100, 3.38615711591, 20426.57109242200 }, { 0.00000196586, 2.53001197486, 30639.85663863300 }, @@ -1074,10 +1080,10 @@ const VSOP87Coefficient g_VSOP87D_B1_VENUS[] = { 0.00000000023, 0.90416640595, 8094.52168583260 }, { 0.00000000022, 1.92092469688, 17085.95866572220 }, { 0.00000000019, 5.04938942644, 6681.22485339960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_VENUS[] = -{ +constexpr array g_VSOP87D_B2_VENUS +{ { { 0.00022377665, 3.38509143877, 10213.28554621100 }, { 0.00000281739, 0.00000000000, 0.00000000000 }, { 0.00000173164, 5.25563766915, 20426.57109242200 }, @@ -1137,10 +1143,10 @@ const VSOP87Coefficient g_VSOP87D_B2_VENUS[] = { 0.00000000011, 4.23048200054, 29864.33402730900 }, { 0.00000000010, 0.26447399758, 3930.20969621960 }, { 0.00000000011, 1.46728576671, 20419.45754542119 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_VENUS[] = -{ +constexpr array g_VSOP87D_B3_VENUS +{ { { 0.00000646671, 4.99166565277, 10213.28554621100 }, { 0.00000019952, 3.14159265359, 0.00000000000 }, { 0.00000005540, 0.77376923951, 20426.57109242200 }, @@ -1156,27 +1162,27 @@ const VSOP87Coefficient g_VSOP87D_B3_VENUS[] = { 0.00000000009, 1.36283915068, 19651.04848109800 }, { 0.00000000007, 4.69592781899, 18073.70493865020 }, { 0.00000000006, 2.97926526705, 22003.91463486980 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_VENUS[] = -{ +constexpr array g_VSOP87D_B4_VENUS +{ { { 0.00000014102, 0.31537190181, 10213.28554621100 }, { 0.00000000190, 2.35466404492, 20426.57109242200 }, { 0.00000000164, 0.74476215141, 30639.85663863300 }, { 0.00000000214, 3.14159265359, 0.00000000000 }, { 0.00000000004, 2.34190883009, 40853.14218484400 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_VENUS[] = -{ +constexpr array g_VSOP87D_B5_VENUS +{ { { 0.00000000239, 2.05201727566, 10213.28554621100 }, { 0.00000000039, 0.00000000000, 0.00000000000 }, { 0.00000000011, 3.82500275251, 20426.57109242200 }, { 0.00000000009, 2.32953116868, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_VENUS[] = -{ +constexpr array g_VSOP87D_R0_VENUS +{ { { 0.72334820905, 0.00000000000, 0.00000000000 }, { 0.00489824185, 4.02151832268, 10213.28554621100 }, { 0.00001658058, 4.90206728012, 20426.57109242200 }, @@ -1507,10 +1513,10 @@ const VSOP87Coefficient g_VSOP87D_R0_VENUS[] = { 0.00000000028, 2.38858990128, 20235.12282631040 }, { 0.00000000030, 3.34585843979, 39793.76025465480 }, { 0.00000000026, 5.36096904409, 1478.86657406440 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_VENUS[] = -{ +constexpr array g_VSOP87D_R1_VENUS +{ { { 0.00034551039, 0.89198710598, 10213.28554621100 }, { 0.00000234203, 1.77224942714, 20426.57109242200 }, { 0.00000233998, 3.14159265359, 0.00000000000 }, @@ -1691,10 +1697,10 @@ const VSOP87Coefficient g_VSOP87D_R1_VENUS[] = { 0.00000000014, 2.84532871890, 574.34479833480 }, { 0.00000000015, 5.34517715140, 10198.03307502600 }, { 0.00000000013, 0.45004137509, 20452.86941222180 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_VENUS[] = -{ +constexpr array g_VSOP87D_R2_VENUS +{ { { 0.00001406587, 5.06366395190, 10213.28554621100 }, { 0.00000015529, 5.47321687981, 20426.57109242200 }, { 0.00000013059, 0.00000000000, 0.00000000000 }, @@ -1758,10 +1764,10 @@ const VSOP87Coefficient g_VSOP87D_R2_VENUS[] = { 0.00000000008, 3.63520673832, 1059.38193018920 }, { 0.00000000008, 4.67523115598, 25934.12433108940 }, { 0.00000000009, 5.97856553283, 9683.59458111640 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_VENUS[] = -{ +constexpr array g_VSOP87D_R3_VENUS +{ { { 0.00000049582, 3.22263554520, 10213.28554621100 }, { 0.00000000831, 3.21219077104, 20426.57109242200 }, { 0.00000000112, 3.14159265359, 0.00000000000 }, @@ -1769,81 +1775,80 @@ const VSOP87Coefficient g_VSOP87D_R3_VENUS[] = { 0.00000000009, 4.19802043629, 10239.58386601080 }, { 0.00000000006, 0.20714935358, 10186.98722641120 }, { 0.00000000005, 0.68781956122, 8635.94200376320 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_VENUS[] = -{ +constexpr array g_VSOP87D_R4_VENUS +{ { { 0.00000000573, 0.92229697820, 10213.28554621100 }, { 0.00000000040, 0.95468912157, 20426.57109242200 }, { 0.00000000006, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_VENUS[] = -{ +constexpr array g_VSOP87D_R5_VENUS +{ { { 0.00000000045, 0.30032866722, 10213.28554621100 }, { 0.00000000002, 5.29627718483, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_VENUS[] = -{ - { g_VSOP87D_L0_VENUS, sizeof(g_VSOP87D_L0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_VENUS, sizeof(g_VSOP87D_L1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_VENUS, sizeof(g_VSOP87D_L2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_VENUS, sizeof(g_VSOP87D_L3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_VENUS, sizeof(g_VSOP87D_L4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_VENUS, sizeof(g_VSOP87D_L5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_VENUS +{ { + { g_VSOP87D_L0_VENUS.data(), g_VSOP87D_L0_VENUS.size() }, + { g_VSOP87D_L1_VENUS.data(), g_VSOP87D_L1_VENUS.size() }, + { g_VSOP87D_L2_VENUS.data(), g_VSOP87D_L2_VENUS.size() }, + { g_VSOP87D_L3_VENUS.data(), g_VSOP87D_L3_VENUS.size() }, + { g_VSOP87D_L4_VENUS.data(), g_VSOP87D_L4_VENUS.size() }, + { g_VSOP87D_L5_VENUS.data(), g_VSOP87D_L5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_VENUS[] = -{ - { g_VSOP87D_B0_VENUS, sizeof(g_VSOP87D_B0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_VENUS, sizeof(g_VSOP87D_B1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_VENUS, sizeof(g_VSOP87D_B2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_VENUS, sizeof(g_VSOP87D_B3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_VENUS, sizeof(g_VSOP87D_B4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_VENUS, sizeof(g_VSOP87D_B5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_VENUS +{ { + { g_VSOP87D_B0_VENUS.data(), g_VSOP87D_B0_VENUS.size() }, + { g_VSOP87D_B1_VENUS.data(), g_VSOP87D_B1_VENUS.size() }, + { g_VSOP87D_B2_VENUS.data(), g_VSOP87D_B2_VENUS.size() }, + { g_VSOP87D_B3_VENUS.data(), g_VSOP87D_B3_VENUS.size() }, + { g_VSOP87D_B4_VENUS.data(), g_VSOP87D_B4_VENUS.size() }, + { g_VSOP87D_B5_VENUS.data(), g_VSOP87D_B5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_VENUS[] = -{ - { g_VSOP87D_R0_VENUS, sizeof(g_VSOP87D_R0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_VENUS, sizeof(g_VSOP87D_R1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_VENUS, sizeof(g_VSOP87D_R2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_VENUS, sizeof(g_VSOP87D_R3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_VENUS, sizeof(g_VSOP87D_R4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_VENUS, sizeof(g_VSOP87D_R5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_VENUS +{ { + { g_VSOP87D_R0_VENUS.data(), g_VSOP87D_R0_VENUS.size() }, + { g_VSOP87D_R1_VENUS.data(), g_VSOP87D_R1_VENUS.size() }, + { g_VSOP87D_R2_VENUS.data(), g_VSOP87D_R2_VENUS.size() }, + { g_VSOP87D_R3_VENUS.data(), g_VSOP87D_R3_VENUS.size() }, + { g_VSOP87D_R4_VENUS.data(), g_VSOP87D_R4_VENUS.size() }, + { g_VSOP87D_R5_VENUS.data(), g_VSOP87D_R5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Venus::L(double JD) +double CAAVSOP87D_Venus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_VENUS, sizeof(g_VSOP87D_L_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_VENUS.data(), g_VSOP87D_L_VENUS.size(), true); } -double CAAVSOP87D_Venus::L_DASH(double JD) +double CAAVSOP87D_Venus::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_VENUS, sizeof(g_VSOP87D_L_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_VENUS.data(), g_VSOP87D_L_VENUS.size()); } -double CAAVSOP87D_Venus::B(double JD) +double CAAVSOP87D_Venus::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_VENUS, sizeof(g_VSOP87D_B_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_VENUS.data(), g_VSOP87D_B_VENUS.size(), true); } -double CAAVSOP87D_Venus::B_DASH(double JD) +double CAAVSOP87D_Venus::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_VENUS, sizeof(g_VSOP87D_B_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_VENUS.data(), g_VSOP87D_B_VENUS.size()); } -double CAAVSOP87D_Venus::R(double JD) +double CAAVSOP87D_Venus::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_VENUS, sizeof(g_VSOP87D_R_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_VENUS.data(), g_VSOP87D_R_VENUS.size(), false); } -double CAAVSOP87D_Venus::R_DASH(double JD) +double CAAVSOP87D_Venus::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_VENUS, sizeof(g_VSOP87D_R_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_VENUS.data(), g_VSOP87D_R_VENUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_MAR.cpp b/Sources/AAPlus/AAVSOP87E_MAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_MAR.cpp rename to Sources/AAPlus/AAVSOP87E_MAR.cpp index 7ed77ca..cf32032 --- a/Vendor/AA+/1.6.3/AAVSOP87E_MAR.cpp +++ b/Sources/AAPlus/AAVSOP87E_MAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_MARS +{ { { 1.51769887405, 6.20403346548, 3340.61242669980 }, { 0.19473570996, 3.14159265359, 0.00000000000 }, { 0.07070917372, 0.25870338552, 6681.22485339960 }, @@ -1604,10 +1610,10 @@ const VSOP87Coefficient g_VSOP87E_X0_MARS[] = { 0.00000000086, 2.62365837929, 13517.80279593060 }, { 0.00000000084, 2.90733130456, 2942.39611298880 }, { 0.00000000084, 4.30297087103, 4801.66647864620 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_MARS[] = -{ +constexpr array g_VSOP87E_X1_MARS +{ { { 0.00862737448, 3.14159265359, 0.00000000000 }, { 0.00552437771, 5.09565872891, 6681.22485339960 }, { 0.00077184951, 5.43315636209, 10021.83728009940 }, @@ -2574,10 +2580,10 @@ const VSOP87Coefficient g_VSOP87E_X1_MARS[] = { 0.00000000055, 4.06333971351, 11527.12508919240 }, { 0.00000000047, 2.28831256912, 109.94568878850 }, { 0.00000000046, 3.58080161750, 19247.37655338240 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_MARS[] = -{ +constexpr array g_VSOP87E_X2_MARS +{ { { 0.00056368724, 0.00000000000, 0.00000000000 }, { 0.00022122521, 3.54372113272, 6681.22485339960 }, { 0.00006091409, 3.93272649649, 10021.83728009940 }, @@ -3024,10 +3030,10 @@ const VSOP87Coefficient g_VSOP87E_X2_MARS[] = { 0.00000000021, 5.62805203791, 3340.54511639700 }, { 0.00000000027, 3.83951649814, 8584.66166590080 }, { 0.00000000022, 5.50509868914, 36261.27948574980 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_MARS[] = -{ +constexpr array g_VSOP87E_X3_MARS +{ { { 0.00000852006, 0.00000000000, 0.00000000000 }, { 0.00000560133, 1.94007552058, 6681.22485339960 }, { 0.00000318062, 2.39391695789, 10021.83728009940 }, @@ -3233,10 +3239,10 @@ const VSOP87Coefficient g_VSOP87E_X3_MARS[] = { 0.00000000010, 3.98008913039, 36.64856292950 }, { 0.00000000013, 0.37523695539, 191.44826611160 }, { 0.00000000012, 3.35651610375, 422.66603761290 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_MARS[] = -{ +constexpr array g_VSOP87E_X4_MARS +{ { { 0.00000025439, 3.14159265359, 0.00000000000 }, { 0.00000012260, 0.83414775886, 10021.83728009940 }, { 0.00000010035, 0.40425836057, 6681.22485339960 }, @@ -3311,10 +3317,10 @@ const VSOP87Coefficient g_VSOP87E_X4_MARS[] = { 0.00000000007, 6.27374846424, 529.69096509460 }, { 0.00000000007, 5.71854398962, 551.03160609700 }, { 0.00000000006, 1.40413206867, 654.12438031560 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_MARS[] = -{ +constexpr array g_VSOP87E_X5_MARS +{ { { 0.00000000360, 5.54721578166, 10021.83728009940 }, { 0.00000000274, 2.70467042100, 3185.19202726560 }, { 0.00000000274, 0.28001490932, 3496.03282613400 }, @@ -3353,10 +3359,10 @@ const VSOP87Coefficient g_VSOP87E_X5_MARS[] = { 0.00000000004, 3.59221465704, 419.48464387520 }, { 0.00000000003, 5.43212710597, 639.89728631400 }, { 0.00000000003, 1.37528056638, 234.63973644040 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_MARS[] = -{ +constexpr array g_VSOP87E_Y0_MARS +{ { { 1.51558927367, 4.63212206588, 3340.61242669980 }, { 0.07064547959, 4.97051892898, 6681.22485339960 }, { 0.08689350637, 0.00000000000, 0.00000000000 }, @@ -4947,10 +4953,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_MARS[] = { 0.00000000102, 4.50512754074, 3156.74283979780 }, { 0.00000000084, 1.33635449934, 2942.39611298880 }, { 0.00000000084, 2.73273226011, 4801.66647864620 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_MARS[] = -{ +constexpr array g_VSOP87E_Y1_MARS +{ { { 0.01427318093, 3.14159265359, 0.00000000000 }, { 0.00551063576, 3.52128320402, 6681.22485339960 }, { 0.00077091888, 3.86082685753, 10021.83728009940 }, @@ -5944,10 +5950,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_MARS[] = { 0.00000000046, 2.01012132100, 19247.37655338240 }, { 0.00000000039, 3.61794457591, 27433.88921587499 }, { 0.00000000045, 6.00306408589, 227.47613278900 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_MARS[] = -{ +constexpr array g_VSOP87E_Y2_MARS +{ { { 0.00035452579, 3.14159265359, 0.00000000000 }, { 0.00021950751, 1.96291594946, 6681.22485339960 }, { 0.00006075990, 2.35864321001, 10021.83728009940 }, @@ -6392,10 +6398,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_MARS[] = { 0.00000000020, 5.70175704295, 10.29494073850 }, { 0.00000000021, 5.54933439149, 1744.42598441520 }, { 0.00000000020, 0.82610997828, 33318.81606245820 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_MARS[] = -{ +constexpr array g_VSOP87E_Y3_MARS +{ { { 0.00001451417, 0.00000000000, 0.00000000000 }, { 0.00000548277, 0.33360423382, 6681.22485339960 }, { 0.00000316422, 0.81609547752, 10021.83728009940 }, @@ -6599,10 +6605,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_MARS[] = { 0.00000000011, 3.23427487345, 8429.24126646660 }, { 0.00000000011, 1.66323689163, 382.89653222320 }, { 0.00000000010, 2.40929335654, 36.64856292950 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_MARS[] = -{ +constexpr array g_VSOP87E_Y4_MARS +{ { { 0.00000012136, 5.53171096923, 10021.83728009940 }, { 0.00000014623, 0.00000000000, 0.00000000000 }, { 0.00000009397, 5.00023134055, 6681.22485339960 }, @@ -6678,10 +6684,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_MARS[] = { 0.00000000007, 3.08813888762, 110.20632121940 }, { 0.00000000007, 4.14773765350, 551.03160609700 }, { 0.00000000006, 6.11652071967, 654.12438031560 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_MARS[] = -{ +constexpr array g_VSOP87E_Y5_MARS +{ { { 0.00000000353, 3.94830849426, 10021.83728009940 }, { 0.00000000274, 4.99240388971, 3496.03282613400 }, { 0.00000000272, 1.12308951649, 3185.19202726560 }, @@ -6720,10 +6726,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_MARS[] = { 0.00000000004, 2.02140363828, 419.48464387520 }, { 0.00000000003, 3.88823715659, 639.89728631400 }, { 0.00000000003, 6.08770400766, 234.63973644040 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_MARS[] = -{ +constexpr array g_VSOP87E_Z0_MARS +{ { { 0.04901205639, 3.76712324293, 3340.61242669980 }, { 0.00659516885, 0.00000000000, 0.00000000000 }, { 0.00228333831, 4.10544022266, 6681.22485339960 }, @@ -7128,10 +7134,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_MARS[] = { 0.00000000106, 2.29924580245, 111.43016149680 }, { 0.00000000103, 3.99294762314, 70.32818044240 }, { 0.00000000085, 6.03717451925, 127.47179660680 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_MARS[] = -{ +constexpr array g_VSOP87E_Z1_MARS +{ { { 0.00331842851, 6.05027773492, 3340.61242669980 }, { 0.00047797013, 3.14159265359, 0.00000000000 }, { 0.00009896501, 1.61155844715, 6681.22485339960 }, @@ -7405,10 +7411,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_MARS[] = { 0.00000000050, 4.13806710714, 10213.28554621100 }, { 0.00000000051, 0.39392917326, 742.99006053260 }, { 0.00000000049, 4.84482792493, 956.28915597060 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_MARS[] = -{ +constexpr array g_VSOP87E_Z2_MARS +{ { { 0.00013705355, 1.04212852598, 3340.61242669980 }, { 0.00005933274, 3.14159265359, 0.00000000000 }, { 0.00000716728, 0.12154825255, 6681.22485339960 }, @@ -7556,10 +7562,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_MARS[] = { 0.00000000033, 0.42157783312, 853.19638175200 }, { 0.00000000025, 3.95236444346, 117.31986822020 }, { 0.00000000025, 2.78460430400, 209.36694217490 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_MARS[] = -{ +constexpr array g_VSOP87E_Z3_MARS +{ { { 0.00000489822, 2.06392886831, 3340.61242669980 }, { 0.00000211337, 0.00000000000, 0.00000000000 }, { 0.00000008245, 4.91827993759, 6681.22485339960 }, @@ -7630,10 +7636,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_MARS[] = { 0.00000000015, 5.82992617855, 3333.49887969900 }, { 0.00000000013, 3.07320748125, 210.11770170030 }, { 0.00000000012, 5.68952008926, 1052.26838318840 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_MARS[] = -{ +constexpr array g_VSOP87E_Z4_MARS +{ { { 0.00000015151, 0.00000000000, 0.00000000000 }, { 0.00000010395, 3.33271505543, 3340.61242669980 }, { 0.00000000256, 3.76243173590, 10021.83728009940 }, @@ -7661,10 +7667,10 @@ const VSOP87Coefficient g_VSOP87E_Z4_MARS[] = { 0.00000000008, 3.36029048603, 419.48464387520 }, { 0.00000000006, 1.39462759175, 515.46387109300 }, { 0.00000000005, 2.67511593664, 543.91805909620 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_MARS[] = -{ +constexpr array g_VSOP87E_Z5_MARS +{ { { 0.00000000505, 4.62558150778, 3340.61242669980 }, { 0.00000000077, 3.14159265359, 0.00000000000 }, { 0.00000000027, 5.16649907997, 6681.22485339960 }, @@ -7675,68 +7681,67 @@ const VSOP87Coefficient g_VSOP87E_Z5_MARS[] = { 0.00000000004, 1.89844577416, 10021.83728009940 }, { 0.00000000004, 2.66634523708, 13362.44970679920 }, { 0.00000000003, 0.96254361103, 536.80451209540 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_MARS[] = -{ - { g_VSOP87E_X0_MARS, sizeof(g_VSOP87E_X0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_MARS, sizeof(g_VSOP87E_X1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_MARS, sizeof(g_VSOP87E_X2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_MARS, sizeof(g_VSOP87E_X3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_MARS, sizeof(g_VSOP87E_X4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_MARS, sizeof(g_VSOP87E_X5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_MARS +{ { + { g_VSOP87E_X0_MARS.data(), g_VSOP87E_X0_MARS.size() }, + { g_VSOP87E_X1_MARS.data(), g_VSOP87E_X1_MARS.size() }, + { g_VSOP87E_X2_MARS.data(), g_VSOP87E_X2_MARS.size() }, + { g_VSOP87E_X3_MARS.data(), g_VSOP87E_X3_MARS.size() }, + { g_VSOP87E_X4_MARS.data(), g_VSOP87E_X4_MARS.size() }, + { g_VSOP87E_X5_MARS.data(), g_VSOP87E_X5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_MARS[] = -{ - { g_VSOP87E_Y0_MARS, sizeof(g_VSOP87E_Y0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_MARS, sizeof(g_VSOP87E_Y1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_MARS, sizeof(g_VSOP87E_Y2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_MARS, sizeof(g_VSOP87E_Y3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_MARS, sizeof(g_VSOP87E_Y4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_MARS, sizeof(g_VSOP87E_Y5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_MARS +{ { + { g_VSOP87E_Y0_MARS.data(), g_VSOP87E_Y0_MARS.size() }, + { g_VSOP87E_Y1_MARS.data(), g_VSOP87E_Y1_MARS.size() }, + { g_VSOP87E_Y2_MARS.data(), g_VSOP87E_Y2_MARS.size() }, + { g_VSOP87E_Y3_MARS.data(), g_VSOP87E_Y3_MARS.size() }, + { g_VSOP87E_Y4_MARS.data(), g_VSOP87E_Y4_MARS.size() }, + { g_VSOP87E_Y5_MARS.data(), g_VSOP87E_Y5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_MARS[] = -{ - { g_VSOP87E_Z0_MARS, sizeof(g_VSOP87E_Z0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_MARS, sizeof(g_VSOP87E_Z1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_MARS, sizeof(g_VSOP87E_Z2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_MARS, sizeof(g_VSOP87E_Z3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_MARS, sizeof(g_VSOP87E_Z4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_MARS, sizeof(g_VSOP87E_Z5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_MARS +{ { + { g_VSOP87E_Z0_MARS.data(), g_VSOP87E_Z0_MARS.size() }, + { g_VSOP87E_Z1_MARS.data(), g_VSOP87E_Z1_MARS.size() }, + { g_VSOP87E_Z2_MARS.data(), g_VSOP87E_Z2_MARS.size() }, + { g_VSOP87E_Z3_MARS.data(), g_VSOP87E_Z3_MARS.size() }, + { g_VSOP87E_Z4_MARS.data(), g_VSOP87E_Z4_MARS.size() }, + { g_VSOP87E_Z5_MARS.data(), g_VSOP87E_Z5_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Mars::X(double JD) +double CAAVSOP87E_Mars::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_MARS, sizeof(g_VSOP87E_X_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_MARS.data(), g_VSOP87E_X_MARS.size(), false); } -double CAAVSOP87E_Mars::X_DASH(double JD) +double CAAVSOP87E_Mars::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_MARS, sizeof(g_VSOP87E_X_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_MARS.data(), g_VSOP87E_X_MARS.size()); } -double CAAVSOP87E_Mars::Y(double JD) +double CAAVSOP87E_Mars::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_MARS, sizeof(g_VSOP87E_Y_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_MARS.data(), g_VSOP87E_Y_MARS.size(), false); } -double CAAVSOP87E_Mars::Y_DASH(double JD) +double CAAVSOP87E_Mars::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_MARS, sizeof(g_VSOP87E_Y_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_MARS.data(), g_VSOP87E_Y_MARS.size()); } -double CAAVSOP87E_Mars::Z(double JD) +double CAAVSOP87E_Mars::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_MARS, sizeof(g_VSOP87E_Z_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_MARS.data(), g_VSOP87E_Z_MARS.size(), false); } -double CAAVSOP87E_Mars::Z_DASH(double JD) +double CAAVSOP87E_Mars::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_MARS, sizeof(g_VSOP87E_Z_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_MARS.data(), g_VSOP87E_Z_MARS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_MER.cpp b/Sources/AAPlus/AAVSOP87E_MER.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_MER.cpp rename to Sources/AAPlus/AAVSOP87E_MER.cpp index 5595fc0..9bc89dd --- a/Vendor/AA+/1.6.3/AAVSOP87E_MER.cpp +++ b/Sources/AAPlus/AAVSOP87E_MER.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_MERCURY +{ { { 0.37546285495, 4.39651506942, 26087.90314157420 }, { 0.03825746037, 1.16485604343, 52175.80628314840 }, { 0.02596241714, 3.14159265359, 0.00000000000 }, @@ -1585,10 +1591,10 @@ const VSOP87Coefficient g_VSOP87E_X0_MERCURY[] = { 0.00000000008, 2.28353993312, 32808.61712091560 }, { 0.00000000008, 3.72293090245, 49.17873590170 }, { 0.00000000008, 1.79224996176, 207114.15223730978 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_MERCURY[] = -{ +constexpr array g_VSOP87E_X1_MERCURY +{ { { 0.00317551960, 0.00000000000, 0.00000000000 }, { 0.00105289001, 5.91600475006, 52175.80628314840 }, { 0.00032315996, 2.68247273347, 78263.70942472259 }, @@ -2537,10 +2543,10 @@ const VSOP87Coefficient g_VSOP87E_X1_MERCURY[] = { 0.00000000004, 4.02571570033, 25600.26839032000 }, { 0.00000000004, 5.34209380620, 128320.75184749259 }, { 0.00000000004, 0.93894074157, 395.57870223900 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_MERCURY[] = -{ +constexpr array g_VSOP87E_X2_MERCURY +{ { { 0.00001484185, 4.35401210269, 52175.80628314840 }, { 0.00001259780, 0.00000000000, 0.00000000000 }, { 0.00000907467, 1.13216343018, 78263.70942472259 }, @@ -3014,10 +3020,10 @@ const VSOP87Coefficient g_VSOP87E_X2_MERCURY[] = { 0.00000000002, 1.43340926720, 78149.27013603736 }, { 0.00000000002, 2.66449175860, 621.73803904930 }, { 0.00000000002, 0.50955931589, 107794.18751126219 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_MERCURY[] = -{ +constexpr array g_VSOP87E_X3_MERCURY +{ { { 0.00000044244, 3.14159265359, 0.00000000000 }, { 0.00000022035, 6.11822426048, 206.18554843720 }, { 0.00000021482, 5.03368299703, 220.41264243880 }, @@ -3205,10 +3211,10 @@ const VSOP87Coefficient g_VSOP87E_X3_MERCURY[] = { 0.00000000001, 0.98973080298, 52705.49724824299 }, { 0.00000000001, 1.70895997922, 2524.02141025200 }, { 0.00000000001, 2.85145645242, 1148.24761040620 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_MERCURY[] = -{ +constexpr array g_VSOP87E_X4_MERCURY +{ { { 0.00000002272, 1.56364838180, 206.18554843720 }, { 0.00000002236, 3.28143366276, 220.41264243880 }, { 0.00000001682, 4.46996330708, 522.57741809380 }, @@ -3304,10 +3310,10 @@ const VSOP87Coefficient g_VSOP87E_X4_MERCURY[] = { 0.00000000001, 2.93998663691, 241.75328344120 }, { 0.00000000000, 1.39622585652, 611.44309831080 }, { 0.00000000000, 3.75725614820, 1471.75302706360 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_MERCURY[] = -{ +constexpr array g_VSOP87E_X5_MERCURY +{ { { 0.00000000168, 3.28069809842, 206.18554843720 }, { 0.00000000167, 1.52399958265, 220.41264243880 }, { 0.00000000126, 0.07122523863, 522.57741809380 }, @@ -3351,10 +3357,10 @@ const VSOP87Coefficient g_VSOP87E_X5_MERCURY[] = { 0.00000000001, 4.89128041335, 860.30992875280 }, { 0.00000000001, 0.44519622714, 447.93883187840 }, { 0.00000000001, 5.48978296351, 208703.22513259359 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_MERCURY[] = -{ +constexpr array g_VSOP87E_Y0_MERCURY +{ { { 0.37953636588, 2.83780617821, 26087.90314157420 }, { 0.11592262295, 3.14159265359, 0.00000000000 }, { 0.03854667576, 5.88780608961, 52175.80628314840 }, @@ -4908,10 +4914,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_MERCURY[] = { 0.00000000008, 0.16231496773, 207114.15223730978 }, { 0.00000000008, 0.71218709319, 32808.61712091560 }, { 0.00000000008, 2.15142736957, 49.17873590170 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_MERCURY[] = -{ +constexpr array g_VSOP87E_Y1_MERCURY +{ { { 0.00107803834, 4.34964793883, 52175.80628314840 }, { 0.00080645427, 3.14159265359, 0.00000000000 }, { 0.00032715349, 1.11763734425, 78263.70942472259 }, @@ -5858,10 +5864,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_MERCURY[] = { 0.00000000004, 0.15780189015, 130435.63437251298 }, { 0.00000000004, 0.06711300408, 26575.53789282839 }, { 0.00000000004, 2.45491937354, 25600.26839032000 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_MERCURY[] = -{ +constexpr array g_VSOP87E_Y2_MERCURY +{ { { 0.00004556343, 0.00000000000, 0.00000000000 }, { 0.00001575670, 2.81172733349, 52175.80628314840 }, { 0.00000927896, 5.85368769122, 78263.70942472259 }, @@ -6340,10 +6346,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_MERCURY[] = { 0.00000000002, 6.14579824758, 78149.27013603736 }, { 0.00000000002, 3.99712167326, 114.13847448250 }, { 0.00000000002, 5.22194829628, 107794.18751126219 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_MERCURY[] = -{ +constexpr array g_VSOP87E_Y3_MERCURY +{ { { 0.00000022088, 4.54598360855, 206.18554843720 }, { 0.00000021546, 3.46116671016, 220.41264243880 }, { 0.00000018231, 4.35141183918, 78263.70942472259 }, @@ -6530,10 +6536,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_MERCURY[] = { 0.00000000001, 2.34179341386, 824.74219374880 }, { 0.00000000001, 1.98918668419, 2097.42321937600 }, { 0.00000000001, 3.14828548619, 1884.12412393800 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_MERCURY[] = -{ +constexpr array g_VSOP87E_Y4_MERCURY +{ { { 0.00000002278, 6.27388903010, 206.18554843720 }, { 0.00000002245, 1.70782913671, 220.41264243880 }, { 0.00000001682, 2.89988955370, 522.57741809380 }, @@ -6632,10 +6638,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_MERCURY[] = { 0.00000000000, 2.96705876683, 611.44309831080 }, { 0.00000000001, 0.96127473040, 1361.54670584420 }, { 0.00000000000, 2.18676531283, 1471.75302706360 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_MERCURY[] = -{ +constexpr array g_VSOP87E_Y5_MERCURY +{ { { 0.00000000168, 1.70751121627, 206.18554843720 }, { 0.00000000168, 6.23113008656, 220.41264243880 }, { 0.00000000126, 4.78360062168, 522.57741809380 }, @@ -6679,10 +6685,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_MERCURY[] = { 0.00000000001, 5.15758520752, 447.93883187840 }, { 0.00000000000, 3.53521969532, 302.16477565500 }, { 0.00000000001, 3.91898663672, 208703.22513259359 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_MERCURY[] = -{ +constexpr array g_VSOP87E_Z0_MERCURY +{ { { 0.04607664562, 1.99295081967, 26087.90314157420 }, { 0.00709887021, 3.14159265359, 0.00000000000 }, { 0.00469171540, 5.04215742764, 52175.80628314840 }, @@ -7308,10 +7314,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_MERCURY[] = { 0.00000000007, 0.23049597733, 72.33391801250 }, { 0.00000000009, 5.00034866965, 102132.85546210999 }, { 0.00000000008, 1.66471235682, 52290.24557183361 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_MERCURY[] = -{ +constexpr array g_VSOP87E_Z1_MERCURY +{ { { 0.00108722159, 3.91134750825, 26087.90314157420 }, { 0.00057693223, 3.14159265359, 0.00000000000 }, { 0.00004297352, 2.56373047177, 52175.80628314840 }, @@ -7675,10 +7681,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_MERCURY[] = { 0.00000000003, 5.36514246733, 52099.54021187280 }, { 0.00000000003, 4.57090150345, 103299.34418310839 }, { 0.00000000004, 4.07559367157, 130969.20667296558 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_MERCURY[] = -{ +constexpr array g_VSOP87E_Z2_MERCURY +{ { { 0.00001053118, 5.37979214357, 26087.90314157420 }, { 0.00001183345, 0.00000000000, 0.00000000000 }, { 0.00000087113, 0.42206932430, 52175.80628314840 }, @@ -7857,10 +7863,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_MERCURY[] = { 0.00000000002, 5.59153557926, 23754.70674870219 }, { 0.00000000002, 3.65769145122, 3.18139373770 }, { 0.00000000002, 0.11046591263, 13655.86049117640 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_MERCURY[] = -{ +constexpr array g_VSOP87E_Z3_MERCURY +{ { { 0.00000021392, 2.12804278460, 26087.90314157420 }, { 0.00000016634, 0.00000000000, 0.00000000000 }, { 0.00000002919, 5.41085836184, 52175.80628314840 }, @@ -7924,10 +7930,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_MERCURY[] = { 0.00000000001, 5.14951363778, 1073.60902419080 }, { 0.00000000001, 2.94450371786, 191.95845443560 }, { 0.00000000001, 4.98822441421, 860.30992875280 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_MERCURY[] = -{ +constexpr array g_VSOP87E_Z4_MERCURY +{ { { 0.00000000587, 4.86442699315, 26087.90314157420 }, { 0.00000000273, 3.14159265359, 0.00000000000 }, { 0.00000000164, 4.10546661445, 206.18554843720 }, @@ -7962,10 +7968,10 @@ const VSOP87Coefficient g_VSOP87E_Z4_MERCURY[] = { 0.00000000001, 1.63696733565, 117.31986822020 }, { 0.00000000001, 3.60628665626, 853.19638175200 }, { 0.00000000000, 2.65796643505, 110.20632121940 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_MERCURY[] = -{ +constexpr array g_VSOP87E_Z5_MERCURY +{ { { 0.00000000015, 5.75563126750, 206.18554843720 }, { 0.00000000007, 0.00000000000, 0.00000000000 }, { 0.00000000005, 4.29978807671, 220.41264243880 }, @@ -7980,68 +7986,67 @@ const VSOP87Coefficient g_VSOP87E_Z5_MERCURY[] = { 0.00000000001, 4.84147977903, 78263.70942472259 }, { 0.00000000000, 2.14343331955, 104351.61256629678 }, { 0.00000000000, 5.61950230485, 130439.51570787099 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_MERCURY[] = -{ - { g_VSOP87E_X0_MERCURY, sizeof(g_VSOP87E_X0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_MERCURY, sizeof(g_VSOP87E_X1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_MERCURY, sizeof(g_VSOP87E_X2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_MERCURY, sizeof(g_VSOP87E_X3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_MERCURY, sizeof(g_VSOP87E_X4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_MERCURY, sizeof(g_VSOP87E_X5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_MERCURY +{ { + { g_VSOP87E_X0_MERCURY.data(), g_VSOP87E_X0_MERCURY.size() }, + { g_VSOP87E_X1_MERCURY.data(), g_VSOP87E_X1_MERCURY.size() }, + { g_VSOP87E_X2_MERCURY.data(), g_VSOP87E_X2_MERCURY.size() }, + { g_VSOP87E_X3_MERCURY.data(), g_VSOP87E_X3_MERCURY.size() }, + { g_VSOP87E_X4_MERCURY.data(), g_VSOP87E_X4_MERCURY.size() }, + { g_VSOP87E_X5_MERCURY.data(), g_VSOP87E_X5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_MERCURY[] = -{ - { g_VSOP87E_Y0_MERCURY, sizeof(g_VSOP87E_Y0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_MERCURY, sizeof(g_VSOP87E_Y1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_MERCURY, sizeof(g_VSOP87E_Y2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_MERCURY, sizeof(g_VSOP87E_Y3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_MERCURY, sizeof(g_VSOP87E_Y4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_MERCURY, sizeof(g_VSOP87E_Y5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_MERCURY +{ { + { g_VSOP87E_Y0_MERCURY.data(), g_VSOP87E_Y0_MERCURY.size() }, + { g_VSOP87E_Y1_MERCURY.data(), g_VSOP87E_Y1_MERCURY.size() }, + { g_VSOP87E_Y2_MERCURY.data(), g_VSOP87E_Y2_MERCURY.size() }, + { g_VSOP87E_Y3_MERCURY.data(), g_VSOP87E_Y3_MERCURY.size() }, + { g_VSOP87E_Y4_MERCURY.data(), g_VSOP87E_Y4_MERCURY.size() }, + { g_VSOP87E_Y5_MERCURY.data(), g_VSOP87E_Y5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_MERCURY[] = -{ - { g_VSOP87E_Z0_MERCURY, sizeof(g_VSOP87E_Z0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_MERCURY, sizeof(g_VSOP87E_Z1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_MERCURY, sizeof(g_VSOP87E_Z2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_MERCURY, sizeof(g_VSOP87E_Z3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_MERCURY, sizeof(g_VSOP87E_Z4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_MERCURY, sizeof(g_VSOP87E_Z5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_MERCURY +{ { + { g_VSOP87E_Z0_MERCURY.data(), g_VSOP87E_Z0_MERCURY.size() }, + { g_VSOP87E_Z1_MERCURY.data(), g_VSOP87E_Z1_MERCURY.size() }, + { g_VSOP87E_Z2_MERCURY.data(), g_VSOP87E_Z2_MERCURY.size() }, + { g_VSOP87E_Z3_MERCURY.data(), g_VSOP87E_Z3_MERCURY.size() }, + { g_VSOP87E_Z4_MERCURY.data(), g_VSOP87E_Z4_MERCURY.size() }, + { g_VSOP87E_Z5_MERCURY.data(), g_VSOP87E_Z5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Mercury::X(double JD) +double CAAVSOP87E_Mercury::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_MERCURY, sizeof(g_VSOP87E_X_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_MERCURY.data(), g_VSOP87E_X_MERCURY.size(), false); } -double CAAVSOP87E_Mercury::X_DASH(double JD) +double CAAVSOP87E_Mercury::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_MERCURY, sizeof(g_VSOP87E_X_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_MERCURY.data(), g_VSOP87E_X_MERCURY.size()); } -double CAAVSOP87E_Mercury::Y(double JD) +double CAAVSOP87E_Mercury::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_MERCURY, sizeof(g_VSOP87E_Y_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_MERCURY.data(), g_VSOP87E_Y_MERCURY.size(), false); } -double CAAVSOP87E_Mercury::Y_DASH(double JD) +double CAAVSOP87E_Mercury::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_MERCURY, sizeof(g_VSOP87E_Y_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_MERCURY.data(), g_VSOP87E_Y_MERCURY.size()); } -double CAAVSOP87E_Mercury::Z(double JD) +double CAAVSOP87E_Mercury::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_MERCURY, sizeof(g_VSOP87E_Z_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_MERCURY.data(), g_VSOP87E_Z_MERCURY.size(), false); } -double CAAVSOP87E_Mercury::Z_DASH(double JD) +double CAAVSOP87E_Mercury::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_MERCURY, sizeof(g_VSOP87E_Z_MERCURY)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_MERCURY.data(), g_VSOP87E_Z_MERCURY.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_NEP.cpp b/Sources/AAPlus/AAVSOP87E_NEP.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87E_NEP.cpp rename to Sources/AAPlus/AAVSOP87E_NEP.cpp index 0ba6b66..8f82ad3 --- a/Vendor/AA+/1.6.3/AAVSOP87E_NEP.cpp +++ b/Sources/AAPlus/AAVSOP87E_NEP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_NEPTUNE +{ { { 30.05734568801, 5.31211340030, 38.13303563780 }, { 0.27050789973, 3.14159265359, 0.00000000000 }, { 0.13504578270, 3.50075407055, 76.26607127560 }, @@ -752,10 +758,10 @@ const VSOP87Coefficient g_VSOP87E_X0_NEPTUNE[] = { 0.00000002336, 4.17366212174, 495.49008271990 }, { 0.00000002232, 2.42169508541, 158.37366516480 }, { 0.00000002471, 3.93681150847, 658.18966002270 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_NEPTUNE[] = -{ +constexpr array g_VSOP87E_X1_NEPTUNE +{ { { 0.00255827017, 2.01935687782, 36.64856292950 }, { 0.00243112812, 5.46214905602, 39.61750834610 }, { 0.00118382753, 2.88255085978, 76.26607127560 }, @@ -1047,10 +1053,10 @@ const VSOP87Coefficient g_VSOP87E_X1_NEPTUNE[] = { 0.00000002160, 0.97578185075, 666.72398925700 }, { 0.00000002601, 2.58714323338, 363.51668387840 }, { 0.00000002510, 3.00871814837, 411.14725659700 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_NEPTUNE[] = -{ +constexpr array g_VSOP87E_X2_NEPTUNE +{ { { 0.00005415923, 0.00000000000, 0.00000000000 }, { 0.00004536283, 5.02700751836, 36.64856292950 }, { 0.00004350766, 2.45420254304, 39.61750834610 }, @@ -1134,10 +1140,10 @@ const VSOP87Coefficient g_VSOP87E_X2_NEPTUNE[] = { 0.00000002569, 4.22624598741, 464.73122651380 }, { 0.00000002273, 5.59760233612, 491.55792945680 }, { 0.00000002790, 1.90430778774, 487.36514376280 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_NEPTUNE[] = -{ +constexpr array g_VSOP87E_X3_NEPTUNE +{ { { 0.00000192703, 0.83849647680, 36.64856292950 }, { 0.00000182218, 0.36067577276, 39.61750834610 }, { 0.00000182887, 0.00000000000, 0.00000000000 }, @@ -1165,19 +1171,19 @@ const VSOP87Coefficient g_VSOP87E_X3_NEPTUNE[] = { 0.00000002279, 4.63710471266, 459.05396811150 }, { 0.00000003062, 3.11781513902, 484.44438245600 }, { 0.00000002147, 2.63610173419, 175.16605980020 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_NEPTUNE[] = -{ +constexpr array g_VSOP87E_X4_NEPTUNE +{ { { 0.00000004229, 1.43244844928, 515.46387109300 }, { 0.00000004334, 5.41647101628, 433.71173787680 }, { 0.00000003547, 5.75562173057, 990.22940591440 }, { 0.00000003155, 4.85323856001, 467.65198782060 }, { 0.00000002587, 0.06465867421, 227.52618943960 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Y0_NEPTUNE +{ { { 30.05900907352, 3.74086294715, 38.13303563780 }, { 0.30171988148, 3.14159265359, 0.00000000000 }, { 0.13505308635, 1.92949466968, 76.26607127560 }, @@ -1871,10 +1877,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_NEPTUNE[] = { 0.00000002319, 2.81891636177, 26011.63707029860 }, { 0.00000002378, 2.89965220331, 952.09637027660 }, { 0.00000002232, 3.99247109324, 158.37366516480 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Y1_NEPTUNE +{ { { 0.00352941377, 3.14159265359, 0.00000000000 }, { 0.00256112241, 0.44757496381, 36.64856292950 }, { 0.00243135236, 3.89099801420, 39.61750834610 }, @@ -2162,10 +2168,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_NEPTUNE[] = { 0.00000002300, 2.19835194508, 986.29725265130 }, { 0.00000002198, 1.21301903023, 605.95703637020 }, { 0.00000002643, 4.92601181391, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Y2_NEPTUNE +{ { { 0.00004539421, 3.45613207922, 36.64856292950 }, { 0.00004347956, 0.88317230351, 39.61750834610 }, { 0.00003651208, 3.14159265359, 0.00000000000 }, @@ -2245,10 +2251,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_NEPTUNE[] = { 0.00000003029, 4.41598697999, 129.91947716160 }, { 0.00000002469, 5.36564537139, 952.09637027660 }, { 0.00000002911, 1.43497141751, 312.19908396260 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Y3_NEPTUNE +{ { { 0.00000192703, 5.55088601013, 36.64856292950 }, { 0.00000182218, 5.07306416874, 39.61750834610 }, { 0.00000178702, 0.00000000000, 0.00000000000 }, @@ -2277,19 +2283,19 @@ const VSOP87Coefficient g_VSOP87E_Y3_NEPTUNE[] = { 0.00000002876, 3.65434826122, 853.19638175200 }, { 0.00000002279, 6.20788162950, 459.05396811150 }, { 0.00000002147, 1.06532572636, 175.16605980020 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Y4_NEPTUNE +{ { { 0.00000004229, 6.14485774863, 515.46387109300 }, { 0.00000004334, 3.84569500845, 433.71173787680 }, { 0.00000003547, 1.04321243122, 990.22940591440 }, { 0.00000003155, 0.14082926066, 467.65198782060 }, { 0.00000002586, 4.77727956483, 227.52618943960 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Z0_NEPTUNE +{ { { 0.92861252357, 1.44103930199, 38.13303563780 }, { 0.01244825806, 0.00000000000, 0.00000000000 }, { 0.00474309033, 2.52218768352, 36.64856292950 }, @@ -2416,10 +2422,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_NEPTUNE[] = { 0.00000005064, 1.68192340688, 419.48464387520 }, { 0.00000002610, 5.41057398526, 632.78373931320 }, { 0.00000002750, 3.06858398648, 10213.28554621100 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Z1_NEPTUNE +{ { { 0.00154877961, 2.14239038882, 38.13303563780 }, { 0.00007783708, 4.40146905905, 36.64856292950 }, { 0.00009597674, 0.00000000000, 0.00000000000 }, @@ -2453,10 +2459,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_NEPTUNE[] = { 0.00000006008, 0.92667374096, 70.32818044240 }, { 0.00000004388, 6.14545946311, 7.11354700080 }, { 0.00000002586, 3.01944725018, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Z2_NEPTUNE +{ { { 0.00001264840, 1.91401498992, 38.13303563780 }, { 0.00000130346, 1.12728833394, 36.64856292950 }, { 0.00000127993, 4.77241139328, 39.61750834610 }, @@ -2467,70 +2473,69 @@ const VSOP87Coefficient g_VSOP87E_Z2_NEPTUNE[] = { 0.00000004160, 1.77543920837, 220.41264243880 }, { 0.00000004161, 0.18246750825, 206.18554843720 }, { 0.00000002969, 6.27419756063, 536.80451209540 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_NEPTUNE[] = -{ +constexpr array g_VSOP87E_Z3_NEPTUNE +{ { { 0.00000124222, 3.06928911462, 38.13303563780 }, { 0.00000004438, 3.98008913039, 36.64856292950 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_NEPTUNE[] = -{ - { g_VSOP87E_X0_NEPTUNE, sizeof(g_VSOP87E_X0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_NEPTUNE, sizeof(g_VSOP87E_X1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_NEPTUNE, sizeof(g_VSOP87E_X2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_NEPTUNE, sizeof(g_VSOP87E_X3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_NEPTUNE, sizeof(g_VSOP87E_X4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_NEPTUNE +{ { + { g_VSOP87E_X0_NEPTUNE.data(), g_VSOP87E_X0_NEPTUNE.size() }, + { g_VSOP87E_X1_NEPTUNE.data(), g_VSOP87E_X1_NEPTUNE.size() }, + { g_VSOP87E_X2_NEPTUNE.data(), g_VSOP87E_X2_NEPTUNE.size() }, + { g_VSOP87E_X3_NEPTUNE.data(), g_VSOP87E_X3_NEPTUNE.size() }, + { g_VSOP87E_X4_NEPTUNE.data(), g_VSOP87E_X4_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_NEPTUNE[] = -{ - { g_VSOP87E_Y0_NEPTUNE, sizeof(g_VSOP87E_Y0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_NEPTUNE, sizeof(g_VSOP87E_Y1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_NEPTUNE, sizeof(g_VSOP87E_Y2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_NEPTUNE, sizeof(g_VSOP87E_Y3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_NEPTUNE, sizeof(g_VSOP87E_Y4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_NEPTUNE +{ { + { g_VSOP87E_Y0_NEPTUNE.data(), g_VSOP87E_Y0_NEPTUNE.size() }, + { g_VSOP87E_Y1_NEPTUNE.data(), g_VSOP87E_Y1_NEPTUNE.size() }, + { g_VSOP87E_Y2_NEPTUNE.data(), g_VSOP87E_Y2_NEPTUNE.size() }, + { g_VSOP87E_Y3_NEPTUNE.data(), g_VSOP87E_Y3_NEPTUNE.size() }, + { g_VSOP87E_Y4_NEPTUNE.data(), g_VSOP87E_Y4_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_NEPTUNE[] = -{ - { g_VSOP87E_Z0_NEPTUNE, sizeof(g_VSOP87E_Z0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_NEPTUNE, sizeof(g_VSOP87E_Z1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_NEPTUNE, sizeof(g_VSOP87E_Z2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_NEPTUNE, sizeof(g_VSOP87E_Z3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_NEPTUNE +{ { + { g_VSOP87E_Z0_NEPTUNE.data(), g_VSOP87E_Z0_NEPTUNE.size() }, + { g_VSOP87E_Z1_NEPTUNE.data(), g_VSOP87E_Z1_NEPTUNE.size() }, + { g_VSOP87E_Z2_NEPTUNE.data(), g_VSOP87E_Z2_NEPTUNE.size() }, + { g_VSOP87E_Z3_NEPTUNE.data(), g_VSOP87E_Z3_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Neptune::X(double JD) +double CAAVSOP87E_Neptune::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_NEPTUNE, sizeof(g_VSOP87E_X_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_NEPTUNE.data(), g_VSOP87E_X_NEPTUNE.size(), false); } -double CAAVSOP87E_Neptune::X_DASH(double JD) +double CAAVSOP87E_Neptune::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_NEPTUNE, sizeof(g_VSOP87E_X_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_NEPTUNE.data(), g_VSOP87E_X_NEPTUNE.size()); } -double CAAVSOP87E_Neptune::Y(double JD) +double CAAVSOP87E_Neptune::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_NEPTUNE, sizeof(g_VSOP87E_Y_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_NEPTUNE.data(), g_VSOP87E_Y_NEPTUNE.size(), false); } -double CAAVSOP87E_Neptune::Y_DASH(double JD) +double CAAVSOP87E_Neptune::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_NEPTUNE, sizeof(g_VSOP87E_Y_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_NEPTUNE.data(), g_VSOP87E_Y_NEPTUNE.size()); } -double CAAVSOP87E_Neptune::Z(double JD) +double CAAVSOP87E_Neptune::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_NEPTUNE, sizeof(g_VSOP87E_Z_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_NEPTUNE.data(), g_VSOP87E_Z_NEPTUNE.size(), false); } -double CAAVSOP87E_Neptune::Z_DASH(double JD) +double CAAVSOP87E_Neptune::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_NEPTUNE, sizeof(g_VSOP87E_Z_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_NEPTUNE.data(), g_VSOP87E_Z_NEPTUNE.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_SAT.cpp b/Sources/AAPlus/AAVSOP87E_SAT.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_SAT.cpp rename to Sources/AAPlus/AAVSOP87E_SAT.cpp index f5c481a..f953dd1 --- a/Vendor/AA+/1.6.3/AAVSOP87E_SAT.cpp +++ b/Sources/AAPlus/AAVSOP87E_SAT.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_SATURN +{ { { 9.51366533422, 0.87441380650, 213.29909543800 }, { 0.26404799161, 0.12391580771, 426.59819087600 }, { 0.06758489145, 4.16767544586, 206.18554843720 }, @@ -1683,10 +1689,10 @@ const VSOP87Coefficient g_VSOP87E_X0_SATURN[] = { 0.00000000687, 4.40962225159, 1563.80010101830 }, { 0.00000000883, 0.11492592605, 378.64329525170 }, { 0.00000000740, 3.78883452039, 1016.09290101090 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_SATURN[] = -{ +constexpr array g_VSOP87E_X1_SATURN +{ { { 0.07573807889, 0.00000000000, 0.00000000000 }, { 0.03084144308, 4.27565898829, 426.59819087600 }, { 0.02714141496, 5.85229546861, 206.18554843720 }, @@ -2583,10 +2589,10 @@ const VSOP87Coefficient g_VSOP87E_X1_SATURN[] = { 0.00000000953, 0.59117119093, 2826.18618590700 }, { 0.00000000826, 1.27188705580, 284.89930026760 }, { 0.00000000695, 4.58296836233, 3171.03224356680 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_SATURN[] = -{ +constexpr array g_VSOP87E_X2_SATURN +{ { { 0.00560586041, 1.26401676555, 206.18554843720 }, { 0.00545678885, 3.62343709789, 220.41264243880 }, { 0.00443297401, 3.14159265359, 0.00000000000 }, @@ -3068,10 +3074,10 @@ const VSOP87Coefficient g_VSOP87E_X2_SATURN[] = { 0.00000000785, 0.63645876992, 4436.59972219320 }, { 0.00000000716, 0.31353354367, 3796.70243587920 }, { 0.00000000714, 4.03037145569, 3171.03224356680 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_SATURN[] = -{ +constexpr array g_VSOP87E_X3_SATURN +{ { { 0.00077093916, 2.97714400003, 206.18554843720 }, { 0.00075318954, 1.89208004954, 220.41264243880 }, { 0.00018448888, 3.14159265359, 0.00000000000 }, @@ -3286,10 +3292,10 @@ const VSOP87Coefficient g_VSOP87E_X3_SATURN[] = { 0.00000000699, 4.19500442256, 10220.39909321180 }, { 0.00000000712, 0.83128225610, 3149.69160256440 }, { 0.00000000943, 4.37865824380, 1457.52593306200 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_SATURN[] = -{ +constexpr array g_VSOP87E_X4_SATURN +{ { { 0.00007957649, 4.70523623227, 206.18554843720 }, { 0.00007834416, 0.13981692944, 220.41264243880 }, { 0.00001510766, 0.06561562614, 227.52618943960 }, @@ -3377,10 +3383,10 @@ const VSOP87Coefficient g_VSOP87E_X4_SATURN[] = { 0.00000000699, 6.11938930504, 1272.68102562720 }, { 0.00000000711, 3.95347589074, 838.96928775040 }, { 0.00000000684, 5.09702256485, 661.23792731640 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_SATURN[] = -{ +constexpr array g_VSOP87E_X5_SATURN +{ { { 0.00000589081, 0.13910544483, 206.18554843720 }, { 0.00000585706, 4.66559223624, 220.41264243880 }, { 0.00000225585, 4.60652710308, 227.52618943960 }, @@ -3412,10 +3418,10 @@ const VSOP87Coefficient g_VSOP87E_X5_SATURN[] = { 0.00000000984, 4.07542657925, 223.59403617650 }, { 0.00000000779, 2.12929707069, 330.61896365820 }, { 0.00000000783, 3.19520562324, 522.57741809380 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_SATURN[] = -{ +constexpr array g_VSOP87E_Y0_SATURN +{ { { 9.52714696877, 5.58600556072, 213.29909543800 }, { 0.79354119271, 3.14159265359, 0.00000000000 }, { 0.26434197609, 4.83528742856, 426.59819087600 }, @@ -5073,10 +5079,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_SATURN[] = { 0.00000000702, 1.24544695479, 598.84348936940 }, { 0.00000000810, 3.81368284008, 614.83694036960 }, { 0.00000000681, 1.84015126699, 2954.55175439110 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_SATURN[] = -{ +constexpr array g_VSOP87E_Y1_SATURN +{ { { 0.05373895252, 0.00000000000, 0.00000000000 }, { 0.03089676414, 2.70347020059, 426.59819087600 }, { 0.02740812928, 4.26667506460, 206.18554843720 }, @@ -5998,10 +6004,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_SATURN[] = { 0.00000000687, 1.26279091079, 1261.63532536330 }, { 0.00000000695, 1.75702964176, 812.94573395950 }, { 0.00000000826, 5.98430782385, 284.89930026760 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_SATURN[] = -{ +constexpr array g_VSOP87E_Y2_SATURN +{ { { 0.00563545688, 5.97115835983, 206.18554843720 }, { 0.00546856143, 2.05154974712, 220.41264243880 }, { 0.00458462799, 0.00000000000, 0.00000000000 }, @@ -6466,10 +6472,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_SATURN[] = { 0.00000000732, 2.85362187541, 254.35289238260 }, { 0.00000000945, 5.83450274601, 388.46515523820 }, { 0.00000000813, 3.83625059019, 2420.92863603340 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_SATURN[] = -{ +constexpr array g_VSOP87E_Y3_SATURN +{ { { 0.00077354527, 1.40391035241, 206.18554843720 }, { 0.00075542804, 0.31962897945, 220.41264243880 }, { 0.00022841198, 3.14159265359, 0.00000000000 }, @@ -6670,10 +6676,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_SATURN[] = { 0.00000000701, 1.98280933247, 9779.57380833420 }, { 0.00000000701, 2.62299327327, 10220.39909321180 }, { 0.00000000709, 5.45403624686, 1457.52593306200 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_SATURN[] = -{ +constexpr array g_VSOP87E_Y4_SATURN +{ { { 0.00007976609, 3.13229267905, 206.18554843720 }, { 0.00007866134, 4.84940259473, 220.41264243880 }, { 0.00001514404, 4.77675736118, 227.52618943960 }, @@ -6763,10 +6769,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_SATURN[] = { 0.00000000738, 4.25590020164, 10.29494073850 }, { 0.00000000728, 3.57279637901, 1802.37199072180 }, { 0.00000000684, 3.52622623805, 661.23792731640 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_SATURN[] = -{ +constexpr array g_VSOP87E_Y5_SATURN +{ { { 0.00000588911, 4.84910386986, 206.18554843720 }, { 0.00000589946, 3.08953743297, 220.41264243880 }, { 0.00000226448, 3.03832080293, 227.52618943960 }, @@ -6799,10 +6805,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_SATURN[] = { 0.00000000984, 2.50463025246, 223.59403617650 }, { 0.00000000780, 0.55796214439, 330.61896365820 }, { 0.00000000786, 1.61541856004, 522.57741809380 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_SATURN[] = -{ +constexpr array g_VSOP87E_Z0_SATURN +{ { { 0.41345140292, 3.60234141893, 213.29909543800 }, { 0.01147953788, 2.85128771957, 426.59819087600 }, { 0.01213097211, 0.00000000000, 0.00000000000 }, @@ -7227,10 +7233,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_SATURN[] = { 0.00000001540, 2.97773040595, 10213.28554621100 }, { 0.00000000862, 5.26762490934, 41.10198105440 }, { 0.00000000764, 5.13454347326, 26087.90314157420 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_SATURN[] = -{ +constexpr array g_VSOP87E_Z1_SATURN +{ { { 0.01905958940, 4.94544746619, 213.29909543800 }, { 0.00528167867, 3.14159265359, 0.00000000000 }, { 0.00130224990, 2.26141028606, 206.18554843720 }, @@ -7449,10 +7455,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_SATURN[] = { 0.00000001458, 5.37055128984, 148.07872442630 }, { 0.00000001464, 6.11985601662, 206.13736432740 }, { 0.00000001173, 0.00063234885, 1589.07289528380 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_SATURN[] = -{ +constexpr array g_VSOP87E_Z2_SATURN +{ { { 0.00131237677, 0.08868998014, 213.29909543800 }, { 0.00030139033, 3.91396211806, 206.18554843720 }, { 0.00019316662, 0.09228751610, 220.41264243880 }, @@ -7540,10 +7546,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_SATURN[] = { 0.00000001874, 0.84722174143, 1375.77379984580 }, { 0.00000001596, 0.64727508404, 618.55664531160 }, { 0.00000001504, 2.13190551837, 1368.66025284500 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_SATURN[] = -{ +constexpr array g_VSOP87E_Z3_SATURN +{ { { 0.00004558118, 1.70646871501, 213.29909543800 }, { 0.00004777710, 5.57723756330, 206.18554843720 }, { 0.00003964164, 0.00000000000, 0.00000000000 }, @@ -7589,10 +7595,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_SATURN[] = { 0.00000001460, 5.32768614058, 302.16477565500 }, { 0.00000001460, 3.94562330747, 447.93883187840 }, { 0.00000000920, 1.65069146673, 529.69096509460 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_SATURN[] = -{ +constexpr array g_VSOP87E_Z4_SATURN +{ { { 0.00000574306, 0.96387396086, 206.18554843720 }, { 0.00000252516, 2.90188946355, 220.41264243880 }, { 0.00000244875, 2.96492296609, 213.29909543800 }, @@ -7612,78 +7618,77 @@ const VSOP87Coefficient g_VSOP87E_Z4_SATURN[] = { 0.00000002105, 0.46469400267, 853.19638175200 }, { 0.00000001586, 5.79955908864, 110.20632121940 }, { 0.00000001592, 0.49445731602, 412.37109687440 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_SATURN[] = -{ +constexpr array g_VSOP87E_Z5_SATURN +{ { { 0.00000053400, 2.61403861391, 206.18554843720 }, { 0.00000018015, 1.15819542312, 220.41264243880 }, { 0.00000010802, 3.14159265359, 0.00000000000 }, { 0.00000007783, 1.07953666846, 227.52618943960 }, { 0.00000006016, 2.88267666200, 199.07200143640 }, { 0.00000004424, 0.11691197681, 433.71173787680 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_SATURN[] = -{ - { g_VSOP87E_X0_SATURN, sizeof(g_VSOP87E_X0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_SATURN, sizeof(g_VSOP87E_X1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_SATURN, sizeof(g_VSOP87E_X2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_SATURN, sizeof(g_VSOP87E_X3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_SATURN, sizeof(g_VSOP87E_X4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_SATURN, sizeof(g_VSOP87E_X5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_SATURN +{ { + { g_VSOP87E_X0_SATURN.data(), g_VSOP87E_X0_SATURN.size() }, + { g_VSOP87E_X1_SATURN.data(), g_VSOP87E_X1_SATURN.size() }, + { g_VSOP87E_X2_SATURN.data(), g_VSOP87E_X2_SATURN.size() }, + { g_VSOP87E_X3_SATURN.data(), g_VSOP87E_X3_SATURN.size() }, + { g_VSOP87E_X4_SATURN.data(), g_VSOP87E_X4_SATURN.size() }, + { g_VSOP87E_X5_SATURN.data(), g_VSOP87E_X5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_SATURN[] = -{ - { g_VSOP87E_Y0_SATURN, sizeof(g_VSOP87E_Y0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_SATURN, sizeof(g_VSOP87E_Y1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_SATURN, sizeof(g_VSOP87E_Y2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_SATURN, sizeof(g_VSOP87E_Y3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_SATURN, sizeof(g_VSOP87E_Y4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_SATURN, sizeof(g_VSOP87E_Y5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_SATURN +{ { + { g_VSOP87E_Y0_SATURN.data(), g_VSOP87E_Y0_SATURN.size() }, + { g_VSOP87E_Y1_SATURN.data(), g_VSOP87E_Y1_SATURN.size() }, + { g_VSOP87E_Y2_SATURN.data(), g_VSOP87E_Y2_SATURN.size() }, + { g_VSOP87E_Y3_SATURN.data(), g_VSOP87E_Y3_SATURN.size() }, + { g_VSOP87E_Y4_SATURN.data(), g_VSOP87E_Y4_SATURN.size() }, + { g_VSOP87E_Y5_SATURN.data(), g_VSOP87E_Y5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_SATURN[] = -{ - { g_VSOP87E_Z0_SATURN, sizeof(g_VSOP87E_Z0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_SATURN, sizeof(g_VSOP87E_Z1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_SATURN, sizeof(g_VSOP87E_Z2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_SATURN, sizeof(g_VSOP87E_Z3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_SATURN, sizeof(g_VSOP87E_Z4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_SATURN, sizeof(g_VSOP87E_Z5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_SATURN +{ { + { g_VSOP87E_Z0_SATURN.data(), g_VSOP87E_Z0_SATURN.size() }, + { g_VSOP87E_Z1_SATURN.data(), g_VSOP87E_Z1_SATURN.size() }, + { g_VSOP87E_Z2_SATURN.data(), g_VSOP87E_Z2_SATURN.size() }, + { g_VSOP87E_Z3_SATURN.data(), g_VSOP87E_Z3_SATURN.size() }, + { g_VSOP87E_Z4_SATURN.data(), g_VSOP87E_Z4_SATURN.size() }, + { g_VSOP87E_Z5_SATURN.data(), g_VSOP87E_Z5_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Saturn::X(double JD) +double CAAVSOP87E_Saturn::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_SATURN, sizeof(g_VSOP87E_X_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_SATURN.data(), g_VSOP87E_X_SATURN.size(), false); } -double CAAVSOP87E_Saturn::X_DASH(double JD) +double CAAVSOP87E_Saturn::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_SATURN, sizeof(g_VSOP87E_X_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_SATURN.data(), g_VSOP87E_X_SATURN.size()); } -double CAAVSOP87E_Saturn::Y(double JD) +double CAAVSOP87E_Saturn::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_SATURN, sizeof(g_VSOP87E_Y_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_SATURN.data(), g_VSOP87E_Y_SATURN.size(), false); } -double CAAVSOP87E_Saturn::Y_DASH(double JD) +double CAAVSOP87E_Saturn::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_SATURN, sizeof(g_VSOP87E_Y_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_SATURN.data(), g_VSOP87E_Y_SATURN.size()); } -double CAAVSOP87E_Saturn::Z(double JD) +double CAAVSOP87E_Saturn::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_SATURN, sizeof(g_VSOP87E_Z_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_SATURN.data(), g_VSOP87E_Z_SATURN.size(), false); } -double CAAVSOP87E_Saturn::Z_DASH(double JD) +double CAAVSOP87E_Saturn::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_SATURN, sizeof(g_VSOP87E_Z_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_SATURN.data(), g_VSOP87E_Z_SATURN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_URA.cpp b/Sources/AAPlus/AAVSOP87E_URA.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_URA.cpp rename to Sources/AAPlus/AAVSOP87E_URA.cpp index 25a9c8f..fecdcfc --- a/Vendor/AA+/1.6.3/AAVSOP87E_URA.cpp +++ b/Sources/AAPlus/AAVSOP87E_URA.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_URANUS +{ { { 19.17286937362, 5.48133416758, 74.78159856730 }, { 1.32301898121, 0.00000000000, 0.00000000000 }, { 0.44400556159, 1.65967535182, 149.56319713460 }, @@ -1464,10 +1470,10 @@ const VSOP87Coefficient g_VSOP87E_X0_URANUS[] = { 0.00000002261, 0.44102163363, 817.09033554370 }, { 0.00000002950, 5.76859185743, 653.23060843830 }, { 0.00000002185, 2.44586598369, 246.97871295090 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_URANUS[] = -{ +constexpr array g_VSOP87E_X1_URANUS +{ { { 0.00739697937, 6.01067921255, 149.56319713460 }, { 0.00528174379, 3.14159265359, 0.00000000000 }, { 0.00239830578, 5.33657752107, 73.29712585900 }, @@ -2096,10 +2102,10 @@ const VSOP87Coefficient g_VSOP87E_X1_URANUS[] = { 0.00000002330, 3.20850507386, 821.54375366860 }, { 0.00000002648, 3.95978520157, 460.53844081980 }, { 0.00000002459, 2.05612285306, 634.48066034260 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_URANUS[] = -{ +constexpr array g_VSOP87E_X2_URANUS +{ { { 0.00016015031, 3.83700030134, 74.78159856730 }, { 0.00010915299, 3.02987776270, 149.56319713460 }, { 0.00007497619, 3.83429136661, 11.04570026390 }, @@ -2334,10 +2340,10 @@ const VSOP87Coefficient g_VSOP87E_X2_URANUS[] = { 0.00000002330, 3.64055170939, 227.31374111850 }, { 0.00000002749, 2.28150388150, 92.04707395470 }, { 0.00000002576, 3.89651804361, 343.21857259960 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_URANUS[] = -{ +constexpr array g_VSOP87E_X3_URANUS +{ { { 0.00001309056, 0.00000000000, 0.00000000000 }, { 0.00000679651, 2.93375081556, 70.84944530420 }, { 0.00000631782, 4.88998230611, 78.71375183040 }, @@ -2417,10 +2423,10 @@ const VSOP87Coefficient g_VSOP87E_X3_URANUS[] = { 0.00000002563, 1.54843699395, 216.48048917570 }, { 0.00000002358, 0.87971471502, 624.91943278700 }, { 0.00000002219, 3.00732305327, 391.17346822390 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_URANUS[] = -{ +constexpr array g_VSOP87E_X4_URANUS +{ { { 0.00000062987, 3.14159265359, 0.00000000000 }, { 0.00000034199, 0.42702885820, 63.73589830340 }, { 0.00000026702, 5.34493737706, 149.56319713460 }, @@ -2431,10 +2437,10 @@ const VSOP87Coefficient g_VSOP87E_X4_URANUS[] = { 0.00000005227, 5.41079816474, 92.94084583200 }, { 0.00000002362, 0.90248563878, 284.14854074220 }, { 0.00000002295, 3.03607980943, 365.90067395840 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_URANUS[] = -{ +constexpr array g_VSOP87E_Y0_URANUS +{ { { 19.16434475791, 3.91045677275, 74.78159856730 }, { 0.44388525091, 0.08884126943, 149.56319713460 }, { 0.16222255941, 3.14159265359, 0.00000000000 }, @@ -3846,10 +3852,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_URANUS[] = { 0.00000002847, 0.89078483426, 219.51887056150 }, { 0.00000002458, 2.25842855808, 1448.91086701040 }, { 0.00000002627, 1.91388837247, 768.85355562910 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_URANUS[] = -{ +constexpr array g_VSOP87E_Y1_URANUS +{ { { 0.02157902502, 0.00000000000, 0.00000000000 }, { 0.00739195286, 4.43963987365, 149.56319713460 }, { 0.00238535521, 3.76882481679, 73.29712585900 }, @@ -4484,10 +4490,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_URANUS[] = { 0.00000002729, 1.32506308123, 520.12973753900 }, { 0.00000002230, 4.49028913350, 417.03696332040 }, { 0.00000002227, 3.79362555076, 6144.55835312070 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_URANUS[] = -{ +constexpr array g_VSOP87E_Y2_URANUS +{ { { 0.00034868461, 3.14159265359, 0.00000000000 }, { 0.00016588468, 2.29556740317, 74.78159856730 }, { 0.00010905147, 1.45737963668, 149.56319713460 }, @@ -4726,10 +4732,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_URANUS[] = { 0.00000002330, 2.06975538259, 227.31374111850 }, { 0.00000002192, 3.13720960527, 267.47376618580 }, { 0.00000002721, 1.30292847611, 735.87651353180 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_URANUS[] = -{ +constexpr array g_VSOP87E_Y3_URANUS +{ { { 0.00001214019, 0.00000000000, 0.00000000000 }, { 0.00000668539, 1.35719575778, 70.84944530420 }, { 0.00000634232, 3.31949833714, 78.71375183040 }, @@ -4805,10 +4811,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_URANUS[] = { 0.00000002998, 2.39309465855, 73.08467753790 }, { 0.00000002998, 5.42790043104, 76.47851959670 }, { 0.00000002218, 4.57446080069, 391.17346822390 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_URANUS[] = -{ +constexpr array g_VSOP87E_Y4_URANUS +{ { { 0.00000049430, 0.00000000000, 0.00000000000 }, { 0.00000034198, 5.13940292251, 63.73589830340 }, { 0.00000026702, 3.77414105026, 149.56319713460 }, @@ -4819,10 +4825,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_URANUS[] = { 0.00000005228, 3.84002419343, 92.94084583200 }, { 0.00000002294, 4.60700787690, 365.90067395840 }, { 0.00000002483, 2.14187723981, 284.14854074220 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_URANUS[] = -{ +constexpr array g_VSOP87E_Z0_URANUS +{ { { 0.25876996652, 2.61861278845, 74.78159856730 }, { 0.01775471434, 3.14159265359, 0.00000000000 }, { 0.00599290075, 5.08119534568, 149.56319713460 }, @@ -5055,10 +5061,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_URANUS[] = { 0.00000004220, 3.52810428208, 10213.28554621100 }, { 0.00000004070, 0.58328613274, 103.09277421860 }, { 0.00000002610, 5.41057398526, 632.78373931320 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_URANUS[] = -{ +constexpr array g_VSOP87E_Z1_URANUS +{ { { 0.00655887992, 0.01271946942, 74.78159856730 }, { 0.00049782349, 0.00000000000, 0.00000000000 }, { 0.00023873149, 2.73870549601, 149.56319713460 }, @@ -5156,10 +5162,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_URANUS[] = { 0.00000003270, 1.75799271188, 536.80451209540 }, { 0.00000003003, 5.68771752375, 426.59819087600 }, { 0.00000002586, 3.01944725018, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_URANUS[] = -{ +constexpr array g_VSOP87E_Z2_URANUS +{ { { 0.00014697217, 1.75149164608, 74.78159856730 }, { 0.00001601722, 3.14159265359, 0.00000000000 }, { 0.00000257139, 5.91766895295, 73.29712585900 }, @@ -5193,10 +5199,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_URANUS[] = { 0.00000006205, 2.26614295646, 56.62235130260 }, { 0.00000006094, 4.96640467601, 3.18139373770 }, { 0.00000002969, 6.27419756063, 536.80451209540 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_URANUS[] = -{ +constexpr array g_VSOP87E_Z3_URANUS +{ { { 0.00000406961, 3.16314034460, 74.78159856730 }, { 0.00000034199, 3.14159265359, 0.00000000000 }, { 0.00000011311, 4.44380758422, 149.56319713460 }, @@ -5209,64 +5215,63 @@ const VSOP87Coefficient g_VSOP87E_Z3_URANUS[] = { 0.00000005797, 1.86650914141, 71.60020482960 }, { 0.00000005504, 5.95485140431, 77.96299230500 }, { 0.00000004869, 4.99593945023, 11.04570026390 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_URANUS[] = -{ - { g_VSOP87E_X0_URANUS, sizeof(g_VSOP87E_X0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_URANUS, sizeof(g_VSOP87E_X1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_URANUS, sizeof(g_VSOP87E_X2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_URANUS, sizeof(g_VSOP87E_X3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_URANUS, sizeof(g_VSOP87E_X4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_URANUS +{ { + { g_VSOP87E_X0_URANUS.data(), g_VSOP87E_X0_URANUS.size() }, + { g_VSOP87E_X1_URANUS.data(), g_VSOP87E_X1_URANUS.size() }, + { g_VSOP87E_X2_URANUS.data(), g_VSOP87E_X2_URANUS.size() }, + { g_VSOP87E_X3_URANUS.data(), g_VSOP87E_X3_URANUS.size() }, + { g_VSOP87E_X4_URANUS.data(), g_VSOP87E_X4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_URANUS[] = -{ - { g_VSOP87E_Y0_URANUS, sizeof(g_VSOP87E_Y0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_URANUS, sizeof(g_VSOP87E_Y1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_URANUS, sizeof(g_VSOP87E_Y2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_URANUS, sizeof(g_VSOP87E_Y3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_URANUS, sizeof(g_VSOP87E_Y4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_URANUS +{ { + { g_VSOP87E_Y0_URANUS.data(), g_VSOP87E_Y0_URANUS.size() }, + { g_VSOP87E_Y1_URANUS.data(), g_VSOP87E_Y1_URANUS.size() }, + { g_VSOP87E_Y2_URANUS.data(), g_VSOP87E_Y2_URANUS.size() }, + { g_VSOP87E_Y3_URANUS.data(), g_VSOP87E_Y3_URANUS.size() }, + { g_VSOP87E_Y4_URANUS.data(), g_VSOP87E_Y4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_URANUS[] = -{ - { g_VSOP87E_Z0_URANUS, sizeof(g_VSOP87E_Z0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_URANUS, sizeof(g_VSOP87E_Z1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_URANUS, sizeof(g_VSOP87E_Z2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_URANUS, sizeof(g_VSOP87E_Z3_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_URANUS +{ { + { g_VSOP87E_Z0_URANUS.data(), g_VSOP87E_Z0_URANUS.size() }, + { g_VSOP87E_Z1_URANUS.data(), g_VSOP87E_Z1_URANUS.size() }, + { g_VSOP87E_Z2_URANUS.data(), g_VSOP87E_Z2_URANUS.size() }, + { g_VSOP87E_Z3_URANUS.data(), g_VSOP87E_Z3_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Uranus::X(double JD) +double CAAVSOP87E_Uranus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_URANUS, sizeof(g_VSOP87E_X_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_URANUS.data(), g_VSOP87E_X_URANUS.size(), false); } -double CAAVSOP87E_Uranus::X_DASH(double JD) +double CAAVSOP87E_Uranus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_URANUS, sizeof(g_VSOP87E_X_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_URANUS.data(), g_VSOP87E_X_URANUS.size()); } -double CAAVSOP87E_Uranus::Y(double JD) +double CAAVSOP87E_Uranus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_URANUS, sizeof(g_VSOP87E_Y_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_URANUS.data(), g_VSOP87E_Y_URANUS.size(), false); } -double CAAVSOP87E_Uranus::Y_DASH(double JD) +double CAAVSOP87E_Uranus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_URANUS, sizeof(g_VSOP87E_Y_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_URANUS.data(), g_VSOP87E_Y_URANUS.size()); } -double CAAVSOP87E_Uranus::Z(double JD) +double CAAVSOP87E_Uranus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_URANUS, sizeof(g_VSOP87E_Z_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_URANUS.data(), g_VSOP87E_Z_URANUS.size(), false); } -double CAAVSOP87E_Uranus::Z_DASH(double JD) +double CAAVSOP87E_Uranus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_URANUS, sizeof(g_VSOP87E_Z_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_URANUS.data(), g_VSOP87E_Z_URANUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_EMB.cpp b/Sources/AAPlus/AAVSOP87_EMB.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87_EMB.cpp rename to Sources/AAPlus/AAVSOP87_EMB.cpp index 21ab198..9bb2958 --- a/Vendor/AA+/1.6.3/AAVSOP87_EMB.cpp +++ b/Sources/AAPlus/AAVSOP87_EMB.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_EMB.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_EMB.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_EMB[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_EMB +{ { { 1.00000101778, 0.00000000000, 0.00000000000 }, { 0.00001120473, 2.30855131827, 11506.76976979360 }, { 0.00000760929, 1.42260407149, 3930.20969621960 }, @@ -470,10 +480,10 @@ const VSOP87Coefficient g_VSOP87_A0_EMB[] = { 0.00000000038, 5.33626563318, 150244.34299945380 }, { 0.00000000040, 2.80540842671, 35309.56107949920 }, { 0.00000000048, 3.15413327757, 17576.54652434700 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_EMB[] = -{ +constexpr array g_VSOP87_A1_EMB +{ { { 0.00000013321, 1.40119028360, 1577.34354244780 }, { 0.00000010803, 2.77156683086, 10977.07880469900 }, { 0.00000004663, 1.28775121854, 5223.69391980220 }, @@ -732,10 +742,10 @@ const VSOP87Coefficient g_VSOP87_A1_EMB[] = { 0.00000000021, 3.89809321202, 28774.03797148480 }, { 0.00000000019, 4.18378730347, 16840.67001081519 }, { 0.00000000019, 4.22274694347, 4701.11650170840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_EMB[] = -{ +constexpr array g_VSOP87_A2_EMB +{ { { 0.00000000615, 3.09674638010, 1577.34354244780 }, { 0.00000000650, 5.56221532891, 775.52261132400 }, { 0.00000000445, 4.03738261123, 10977.07880469900 }, @@ -836,10 +846,10 @@ const VSOP87Coefficient g_VSOP87_A2_EMB[] = { 0.00000000013, 6.21889991907, 9380.95967271720 }, { 0.00000000010, 1.68382745113, 22743.40937951640 }, { 0.00000000009, 5.78653918203, 6040.34724601740 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_EMB[] = -{ +constexpr array g_VSOP87_L0_EMB +{ { { 1.75347045953, 0.00000000000, 0.00000000000 }, { 0.00003417568, 2.82887613695, 3.52311834900 }, { 0.00002056367, 3.87949142209, 11506.76976979360 }, @@ -1528,10 +1538,10 @@ const VSOP87Coefficient g_VSOP87_L0_EMB[] = { 0.00000000040, 2.50449584378, 7863.94251078820 }, { 0.00000000037, 4.21056379703, 2675.85638156980 }, { 0.00000000036, 4.59450271611, 1603.64186224760 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_EMB[] = -{ +constexpr array g_VSOP87_L1_EMB +{ { { 6283.07584999140, 0.00000000000, 0.00000000000 }, { 0.00000425257, 1.59049255748, 3.52311834900 }, { 0.00000099545, 2.96295877144, 1577.34354244780 }, @@ -1845,10 +1855,10 @@ const VSOP87Coefficient g_VSOP87_L1_EMB[] = { 0.00000000037, 5.51214360399, 12043.57428188900 }, { 0.00000000048, 6.13744492783, 57375.80190084620 }, { 0.00000000037, 0.87176889717, 16522.65971600220 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_EMB[] = -{ +constexpr array g_VSOP87_L2_EMB +{ { { 0.00000991013, 3.14159265359, 0.00000000000 }, { 0.00000027348, 0.05276844178, 3.52311834900 }, { 0.00000016337, 5.18822233349, 26.29831979980 }, @@ -1929,30 +1939,30 @@ const VSOP87Coefficient g_VSOP87_L2_EMB[] = { 0.00000000042, 0.63481258912, 2699.73481931760 }, { 0.00000000041, 0.65439000362, 25158.60171976540 }, { 0.00000000038, 0.33673983694, 24356.78078864160 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_EMB[] = -{ +constexpr array g_VSOP87_L3_EMB +{ { { 0.00000002962, 5.19564087320, 155.42039943420 }, { 0.00000002537, 3.14159265359, 0.00000000000 }, { 0.00000001288, 4.72177304571, 3.52311834900 }, { 0.00000000635, 5.96904899168, 242.72860397400 }, { 0.00000000402, 3.78606612895, 553.56940284240 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_EMB[] = -{ +constexpr array g_VSOP87_L4_EMB +{ { { 0.00000000420, 0.41892851415, 155.42039943420 }, { 0.00000000041, 3.14032562331, 3.52311834900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_EMB[] = -{ +constexpr array g_VSOP87_L5_EMB +{ { { 0.00000000050, 2.01352986713, 155.42039943420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_EMB[] = -{ +constexpr array g_VSOP87_K0_EMB +{ { { 0.00374081650, 3.14159265359, 0.00000000000 }, { 0.00001988852, 4.23374621009, 1577.34354244780 }, { 0.00001859231, 0.55463591479, 5223.69391980220 }, @@ -2550,10 +2560,10 @@ const VSOP87Coefficient g_VSOP87_K0_EMB[] = { 0.00000000036, 4.23699175298, 33318.81606245820 }, { 0.00000000039, 5.54442185218, 32992.72279240479 }, { 0.00000000046, 2.74913926743, 8671.96987044060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_EMB[] = -{ +constexpr array g_VSOP87_K1_EMB +{ { { 0.00082267418, 3.14159265359, 0.00000000000 }, { 0.00000026605, 2.07229275260, 775.52261132400 }, { 0.00000021081, 3.57698980914, 1059.38193018920 }, @@ -2808,10 +2818,10 @@ const VSOP87Coefficient g_VSOP87_K1_EMB[] = { 0.00000000035, 2.59158426347, 35371.88726597640 }, { 0.00000000036, 1.18614470426, 16207.88627150200 }, { 0.00000000036, 5.46350036510, 65697.55772473979 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_EMB[] = -{ +constexpr array g_VSOP87_K2_EMB +{ { { 0.00002762465, 0.00000000000, 0.00000000000 }, { 0.00000001225, 0.37517058299, 775.52261132400 }, { 0.00000000847, 2.08995893115, 1059.38193018920 }, @@ -2867,25 +2877,25 @@ const VSOP87Coefficient g_VSOP87_K2_EMB[] = { 0.00000000039, 3.44440136521, 6836.64525283380 }, { 0.00000000048, 2.03009764611, 7234.79425624200 }, { 0.00000000038, 1.57041207320, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_EMB[] = -{ +constexpr array g_VSOP87_K3_EMB +{ { { 0.00000116955, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_EMB[] = -{ +constexpr array g_VSOP87_K4_EMB +{ { { 0.00000002696, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_EMB[] = -{ +constexpr array g_VSOP87_K5_EMB +{ { { 0.00000000071, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_EMB[] = -{ +constexpr array g_VSOP87_H0_EMB +{ { { 0.01628447663, 0.00000000000, 0.00000000000 }, { 0.00001986929, 5.80464886318, 1577.34354244780 }, { 0.00001864029, 2.12650300196, 5223.69391980220 }, @@ -3470,10 +3480,10 @@ const VSOP87Coefficient g_VSOP87_H0_EMB[] = { 0.00000000036, 3.91012961105, 18312.42303787879 }, { 0.00000000040, 2.07287807099, 3215.13638064320 }, { 0.00000000046, 1.16988162456, 8671.96987044060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_EMB[] = -{ +constexpr array g_VSOP87_H1_EMB +{ { { 0.00062029655, 3.14159265359, 0.00000000000 }, { 0.00000026631, 0.50260243452, 775.52261132400 }, { 0.00000021214, 2.00566682331, 1059.38193018920 }, @@ -3725,10 +3735,10 @@ const VSOP87Coefficient g_VSOP87_H1_EMB[] = { 0.00000000036, 4.46924826013, 4797.09572892620 }, { 0.00000000038, 0.27763473613, 21548.96236929180 }, { 0.00000000036, 0.75399979841, 65697.55772473979 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_EMB[] = -{ +constexpr array g_VSOP87_H2_EMB +{ { { 0.00003382631, 3.14159265359, 0.00000000000 }, { 0.00000001224, 5.08758285720, 775.52261132400 }, { 0.00000000855, 0.52056023144, 1059.38193018920 }, @@ -3782,25 +3792,25 @@ const VSOP87Coefficient g_VSOP87_H2_EMB[] = { 0.00000000038, 0.00002877847, 639.89728631400 }, { 0.00000000046, 4.01493531872, 11506.76976979360 }, { 0.00000000037, 5.12896326235, 6836.64525283380 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_EMB[] = -{ +constexpr array g_VSOP87_H3_EMB +{ { { 0.00000085101, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_EMB[] = -{ +constexpr array g_VSOP87_H4_EMB +{ { { 0.00000002770, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_EMB[] = -{ +constexpr array g_VSOP87_H5_EMB +{ { { 0.00000000047, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_EMB[] = -{ +constexpr array g_VSOP87_Q0_EMB +{ { { 0.00000046990, 1.03836320801, 775.52261132400 }, { 0.00000037030, 2.58501310328, 1059.38193018920 }, { 0.00000023828, 2.93938256767, 3930.20969621960 }, @@ -3998,10 +4008,10 @@ const VSOP87Coefficient g_VSOP87_Q0_EMB[] = { 0.00000000042, 0.28632764759, 7234.79425624200 }, { 0.00000000037, 1.10347772788, 17256.63153634140 }, { 0.00000000043, 0.78089021121, 24383.07910844140 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_EMB[] = -{ +constexpr array g_VSOP87_Q1_EMB +{ { { 0.00113468869, 3.14159265359, 0.00000000000 }, { 0.00000004145, 2.55097496137, 775.52261132400 }, { 0.00000002820, 4.73650705023, 1059.38193018920 }, @@ -4060,10 +4070,10 @@ const VSOP87Coefficient g_VSOP87_Q1_EMB[] = { 0.00000000040, 1.90218522808, 18319.53658487960 }, { 0.00000000036, 3.26798472580, 19804.82729158280 }, { 0.00000000035, 1.18909598733, 27511.46787353720 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_EMB[] = -{ +constexpr array g_VSOP87_Q2_EMB +{ { { 0.00001237314, 0.00000000000, 0.00000000000 }, { 0.00000000156, 4.17827791124, 775.52261132400 }, { 0.00000000131, 0.45576966890, 1059.38193018920 }, @@ -4072,25 +4082,25 @@ const VSOP87Coefficient g_VSOP87_Q2_EMB[] = { 0.00000000042, 1.47220974568, 1577.34354244780 }, { 0.00000000053, 1.31246818908, 7860.41939243920 }, { 0.00000000015, 5.67119610168, 337.81426319640 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_EMB[] = -{ +constexpr array g_VSOP87_Q3_EMB +{ { { 0.00000126542, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q4_EMB[] = -{ +constexpr array g_VSOP87_Q4_EMB +{ { { 0.00000001372, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q5_EMB[] = -{ +constexpr array g_VSOP87_Q5_EMB +{ { { 0.00000000032, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_EMB[] = -{ +constexpr array g_VSOP87_P0_EMB +{ { { 0.00000048408, 5.76054381234, 775.52261132400 }, { 0.00000036656, 1.01572916759, 1059.38193018920 }, { 0.00000010147, 0.89874990533, 4705.73230754360 }, @@ -4274,10 +4284,10 @@ const VSOP87Coefficient g_VSOP87_P0_EMB[] = { 0.00000000048, 1.03654093101, 15110.46611986620 }, { 0.00000000038, 2.94419417948, 21202.09370374600 }, { 0.00000000051, 3.22403140905, 14314.16811304980 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_EMB[] = -{ +constexpr array g_VSOP87_P1_EMB +{ { { 0.00010180375, 0.00000000000, 0.00000000000 }, { 0.00000004328, 1.01402968363, 775.52261132400 }, { 0.00000002841, 3.16321928690, 1059.38193018920 }, @@ -4335,120 +4345,119 @@ const VSOP87Coefficient g_VSOP87_P1_EMB[] = { 0.00000000050, 5.01551531980, 35371.88726597640 }, { 0.00000000040, 0.33115659422, 18319.53658487960 }, { 0.00000000035, 4.90821231573, 19804.82729158280 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_EMB[] = -{ +constexpr array g_VSOP87_P2_EMB +{ { { 0.00004701998, 0.00000000000, 0.00000000000 }, { 0.00000000189, 2.68775678259, 775.52261132400 }, { 0.00000000127, 5.17311759672, 1059.38193018920 }, { 0.00000000044, 3.11484228078, 1577.34354244780 }, { 0.00000000040, 4.08880680053, 4705.73230754360 }, { 0.00000000015, 0.95917101569, 337.81426319640 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_EMB[] = -{ +constexpr array g_VSOP87_P3_EMB +{ { { 0.00000054174, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P4_EMB[] = -{ +constexpr array g_VSOP87_P4_EMB +{ { { 0.00000002508, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P5_EMB[] = -{ +constexpr array g_VSOP87_P5_EMB +{ { { 0.00000000046, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_EMB[] = -{ - { g_VSOP87_A0_EMB, sizeof(g_VSOP87_A0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_EMB, sizeof(g_VSOP87_A1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_EMB, sizeof(g_VSOP87_A2_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_EMB +{ { + { g_VSOP87_A0_EMB.data(), g_VSOP87_A0_EMB.size() }, + { g_VSOP87_A1_EMB.data(), g_VSOP87_A1_EMB.size() }, + { g_VSOP87_A2_EMB.data(), g_VSOP87_A2_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_EMB[] = -{ - { g_VSOP87_L0_EMB, sizeof(g_VSOP87_L0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_EMB, sizeof(g_VSOP87_L1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_EMB, sizeof(g_VSOP87_L2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_EMB, sizeof(g_VSOP87_L3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_EMB, sizeof(g_VSOP87_L4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_EMB, sizeof(g_VSOP87_L5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_EMB +{ { + { g_VSOP87_L0_EMB.data(), g_VSOP87_L0_EMB.size() }, + { g_VSOP87_L1_EMB.data(), g_VSOP87_L1_EMB.size() }, + { g_VSOP87_L2_EMB.data(), g_VSOP87_L2_EMB.size() }, + { g_VSOP87_L3_EMB.data(), g_VSOP87_L3_EMB.size() }, + { g_VSOP87_L4_EMB.data(), g_VSOP87_L4_EMB.size() }, + { g_VSOP87_L5_EMB.data(), g_VSOP87_L5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_EMB[] = -{ - { g_VSOP87_K0_EMB, sizeof(g_VSOP87_K0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_EMB, sizeof(g_VSOP87_K1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_EMB, sizeof(g_VSOP87_K2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_EMB, sizeof(g_VSOP87_K3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_EMB, sizeof(g_VSOP87_K4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_EMB, sizeof(g_VSOP87_K5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_EMB +{ { + { g_VSOP87_K0_EMB.data(), g_VSOP87_K0_EMB.size() }, + { g_VSOP87_K1_EMB.data(), g_VSOP87_K1_EMB.size() }, + { g_VSOP87_K2_EMB.data(), g_VSOP87_K2_EMB.size() }, + { g_VSOP87_K3_EMB.data(), g_VSOP87_K3_EMB.size() }, + { g_VSOP87_K4_EMB.data(), g_VSOP87_K4_EMB.size() }, + { g_VSOP87_K5_EMB.data(), g_VSOP87_K5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_EMB[] = -{ - { g_VSOP87_H0_EMB, sizeof(g_VSOP87_H0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_EMB, sizeof(g_VSOP87_H1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_EMB, sizeof(g_VSOP87_H2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_EMB, sizeof(g_VSOP87_H3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_EMB, sizeof(g_VSOP87_H4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_EMB, sizeof(g_VSOP87_H5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_EMB +{ { + { g_VSOP87_H0_EMB.data(), g_VSOP87_H0_EMB.size() }, + { g_VSOP87_H1_EMB.data(), g_VSOP87_H1_EMB.size() }, + { g_VSOP87_H2_EMB.data(), g_VSOP87_H2_EMB.size() }, + { g_VSOP87_H3_EMB.data(), g_VSOP87_H3_EMB.size() }, + { g_VSOP87_H4_EMB.data(), g_VSOP87_H4_EMB.size() }, + { g_VSOP87_H5_EMB.data(), g_VSOP87_H5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_EMB[] = -{ - { g_VSOP87_Q0_EMB, sizeof(g_VSOP87_Q0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_EMB, sizeof(g_VSOP87_Q1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_EMB, sizeof(g_VSOP87_Q2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_EMB, sizeof(g_VSOP87_Q3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q4_EMB, sizeof(g_VSOP87_Q4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q5_EMB, sizeof(g_VSOP87_Q5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_EMB +{ { + { g_VSOP87_Q0_EMB.data(), g_VSOP87_Q0_EMB.size() }, + { g_VSOP87_Q1_EMB.data(), g_VSOP87_Q1_EMB.size() }, + { g_VSOP87_Q2_EMB.data(), g_VSOP87_Q2_EMB.size() }, + { g_VSOP87_Q3_EMB.data(), g_VSOP87_Q3_EMB.size() }, + { g_VSOP87_Q4_EMB.data(), g_VSOP87_Q4_EMB.size() }, + { g_VSOP87_Q5_EMB.data(), g_VSOP87_Q5_EMB.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_EMB[] = -{ - { g_VSOP87_P0_EMB, sizeof(g_VSOP87_P0_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_EMB, sizeof(g_VSOP87_P1_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_EMB, sizeof(g_VSOP87_P2_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_EMB, sizeof(g_VSOP87_P3_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P4_EMB, sizeof(g_VSOP87_P4_EMB)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P5_EMB, sizeof(g_VSOP87_P5_EMB)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_EMB +{ { + { g_VSOP87_P0_EMB.data(), g_VSOP87_P0_EMB.size() }, + { g_VSOP87_P1_EMB.data(), g_VSOP87_P1_EMB.size() }, + { g_VSOP87_P2_EMB.data(), g_VSOP87_P2_EMB.size() }, + { g_VSOP87_P3_EMB.data(), g_VSOP87_P3_EMB.size() }, + { g_VSOP87_P4_EMB.data(), g_VSOP87_P4_EMB.size() }, + { g_VSOP87_P5_EMB.data(), g_VSOP87_P5_EMB.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_EMB::A(double JD) +double CAAVSOP87_EMB::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_EMB, sizeof(g_VSOP87_A_EMB)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_EMB.data(), g_VSOP87_A_EMB.size(), false); } -double CAAVSOP87_EMB::L(double JD) +double CAAVSOP87_EMB::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_EMB, sizeof(g_VSOP87_L_EMB)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_EMB.data(), g_VSOP87_L_EMB.size(), true); } -double CAAVSOP87_EMB::K(double JD) +double CAAVSOP87_EMB::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_EMB, sizeof(g_VSOP87_K_EMB)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_EMB.data(), g_VSOP87_K_EMB.size(), false); } -double CAAVSOP87_EMB::H(double JD) +double CAAVSOP87_EMB::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_EMB, sizeof(g_VSOP87_H_EMB)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_EMB.data(), g_VSOP87_H_EMB.size(), false); } -double CAAVSOP87_EMB::Q(double JD) +double CAAVSOP87_EMB::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_EMB, sizeof(g_VSOP87_Q_EMB)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_EMB.data(), g_VSOP87_Q_EMB.size(), false); } -double CAAVSOP87_EMB::P(double JD) +double CAAVSOP87_EMB::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_EMB, sizeof(g_VSOP87_P_EMB)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_EMB.data(), g_VSOP87_P_EMB.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_MER.cpp b/Sources/AAPlus/AAVSOP87_MER.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87_MER.cpp rename to Sources/AAPlus/AAVSOP87_MER.cpp index b204225..380696e --- a/Vendor/AA+/1.6.3/AAVSOP87_MER.cpp +++ b/Sources/AAPlus/AAVSOP87_MER.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_MER.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_MER.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_MERCURY[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_MERCURY +{ { { 0.38709830982, 0.00000000000, 0.00000000000 }, { 0.00000073228, 2.53513583698, 5661.33204915220 }, { 0.00000036456, 6.22386583494, 1109.37855209340 }, @@ -528,10 +538,10 @@ const VSOP87Coefficient g_VSOP87_A0_MERCURY[] = { 0.00000000001, 2.51341863129, 30639.85663863300 }, { 0.00000000002, 3.90363937031, 113501.48764111398 }, { 0.00000000001, 4.92022626292, 230419.25190739357 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_MERCURY[] = -{ +constexpr array g_VSOP87_A1_MERCURY +{ { { 0.00000003609, 1.48075596278, 1109.37855209340 }, { 0.00000002094, 4.05591451700, 5661.33204915220 }, { 0.00000001295, 4.14267090122, 4551.95349705880 }, @@ -757,10 +767,10 @@ const VSOP87Coefficient g_VSOP87_A1_MERCURY[] = { 0.00000000001, 1.30987336666, 159855.55450572536 }, { 0.00000000001, 6.14761463041, 221135.26778299137 }, { 0.00000000001, 6.08343849338, 163766.09444104519 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_MERCURY[] = -{ +constexpr array g_VSOP87_A2_MERCURY +{ { { 0.00000000153, 3.06141740719, 1109.37855209340 }, { 0.00000000036, 2.53025682332, 4551.95349705880 }, { 0.00000000026, 1.82404928219, 11322.66409830440 }, @@ -803,10 +813,10 @@ const VSOP87Coefficient g_VSOP87_A2_MERCURY[] = { 0.00000000002, 4.20220409276, 18093.37469954999 }, { 0.00000000002, 4.17794310826, 70269.18098269838 }, { 0.00000000002, 3.48822883012, 33326.57873317420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_MERCURY[] = -{ +constexpr array g_VSOP87_L0_MERCURY +{ { { 4.40260884240, 0.00000000000, 0.00000000000 }, { 0.00003557754, 1.51229384945, 1109.37855209340 }, { 0.00001732389, 4.10404056787, 5661.33204915220 }, @@ -1617,10 +1627,10 @@ const VSOP87Coefficient g_VSOP87_L0_MERCURY[] = { 0.00000000004, 1.26899736976, 213140.73934096715 }, { 0.00000000004, 0.10914707748, 26727.80042788820 }, { 0.00000000004, 5.32376467784, 26507.38778544939 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_MERCURY[] = -{ +constexpr array g_VSOP87_L1_MERCURY +{ { { 26087.90314157420, 0.00000000000, 0.00000000000 }, { 0.00000352015, 3.05256012304, 1109.37855209340 }, { 0.00000049849, 5.62136983203, 5661.33204915220 }, @@ -1991,10 +2001,10 @@ const VSOP87Coefficient g_VSOP87_L1_MERCURY[] = { 0.00000000004, 2.05548961851, 215473.93573383917 }, { 0.00000000004, 2.71144440911, 4083.98850670440 }, { 0.00000000004, 1.69504271974, 742.99006053260 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_MERCURY[] = -{ +constexpr array g_VSOP87_L2_MERCURY +{ { { 0.00000934669, 3.14159265359, 0.00000000000 }, { 0.00000014892, 4.63351650097, 1109.37855209340 }, { 0.00000000975, 1.80597471013, 955.59974160860 }, @@ -2075,15 +2085,15 @@ const VSOP87Coefficient g_VSOP87_L2_MERCURY[] = { 0.00000000004, 3.51112426941, 36301.18868778519 }, { 0.00000000004, 5.48577502525, 73711.75592766379 }, { 0.00000000004, 5.65003840556, 9384.84100807520 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_MERCURY[] = -{ +constexpr array g_VSOP87_L3_MERCURY +{ { { 0.00000003100, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_MERCURY[] = -{ +constexpr array g_VSOP87_K0_MERCURY +{ { { 0.04466059760, 0.00000000000, 0.00000000000 }, { 0.00000720897, 6.12043541204, 1059.38193018920 }, { 0.00000337364, 1.81571365587, 1109.37855209340 }, @@ -2743,10 +2753,10 @@ const VSOP87Coefficient g_VSOP87_K0_MERCURY[] = { 0.00000000004, 5.04413001840, 307.55762096960 }, { 0.00000000004, 3.23869565179, 5039.58824831300 }, { 0.00000000005, 3.31843202423, 23549.65463732060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_MERCURY[] = -{ +constexpr array g_VSOP87_K1_MERCURY +{ { { 0.00552114624, 3.14159265359, 0.00000000000 }, { 0.00000021558, 3.34591864678, 1109.37855209340 }, { 0.00000020129, 4.54206853137, 1059.38193018920 }, @@ -3041,10 +3051,10 @@ const VSOP87Coefficient g_VSOP87_K1_MERCURY[] = { 0.00000000004, 4.65240113580, 123554.36581794015 }, { 0.00000000004, 1.95173348710, 32132.13172294960 }, { 0.00000000003, 3.17825905751, 154194.22245657316 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_MERCURY[] = -{ +constexpr array g_VSOP87_K2_MERCURY +{ { { 0.00001860568, 3.14159265359, 0.00000000000 }, { 0.00000000602, 4.97746499073, 1109.37855209340 }, { 0.00000000276, 4.26650039944, 1589.07289528380 }, @@ -3102,25 +3112,25 @@ const VSOP87Coefficient g_VSOP87_K2_MERCURY[] = { 0.00000000004, 3.63293184265, 6283.07584999140 }, { 0.00000000004, 3.28792065738, 35191.81013569180 }, { 0.00000000005, 3.92181441712, 25558.21217647960 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_MERCURY[] = -{ +constexpr array g_VSOP87_K3_MERCURY +{ { { 0.00000079123, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_MERCURY[] = -{ +constexpr array g_VSOP87_K4_MERCURY +{ { { 0.00000000590, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_MERCURY[] = -{ +constexpr array g_VSOP87_K5_MERCURY +{ { { 0.00000000016, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_MERCURY[] = -{ +constexpr array g_VSOP87_H0_MERCURY +{ { { 0.20072331368, 0.00000000000, 0.00000000000 }, { 0.00000722616, 4.54448156539, 1059.38193018920 }, { 0.00000352827, 3.36811061870, 1109.37855209340 }, @@ -3779,10 +3789,10 @@ const VSOP87Coefficient g_VSOP87_H0_MERCURY[] = { 0.00000000005, 4.21258944152, 50689.82616208319 }, { 0.00000000004, 3.33769868366, 952.07662325960 }, { 0.00000000004, 5.97898489020, 77307.42026875199 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_MERCURY[] = -{ +constexpr array g_VSOP87_H1_MERCURY +{ { { 0.00143750118, 0.00000000000, 0.00000000000 }, { 0.00000023360, 4.87920447378, 1109.37855209340 }, { 0.00000020286, 2.97846425427, 1059.38193018920 }, @@ -4095,10 +4105,10 @@ const VSOP87Coefficient g_VSOP87_H1_MERCURY[] = { 0.00000000004, 5.92356063138, 193937.98608932379 }, { 0.00000000004, 5.75245592611, 25565.32572348040 }, { 0.00000000004, 6.24760854180, 42153.96900304900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_MERCURY[] = -{ +constexpr array g_VSOP87_H2_MERCURY +{ { { 0.00007974120, 3.14159265359, 0.00000000000 }, { 0.00000000698, 0.17787712508, 1109.37855209340 }, { 0.00000000277, 2.69491825454, 1589.07289528380 }, @@ -4155,25 +4165,25 @@ const VSOP87Coefficient g_VSOP87_H2_MERCURY[] = { 0.00000000004, 2.28429847640, 58946.51688439399 }, { 0.00000000004, 4.85211083171, 64607.84893354619 }, { 0.00000000004, 5.32887096884, 6283.07584999140 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_MERCURY[] = -{ +constexpr array g_VSOP87_H3_MERCURY +{ { { 0.00000030459, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_MERCURY[] = -{ +constexpr array g_VSOP87_H4_MERCURY +{ { { 0.00000000812, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_MERCURY[] = -{ +constexpr array g_VSOP87_H5_MERCURY +{ { { 0.00000000008, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_MERCURY[] = -{ +constexpr array g_VSOP87_Q0_MERCURY +{ { { 0.04061563384, 0.00000000000, 0.00000000000 }, { 0.00000039690, 0.46319933125, 1059.38193018920 }, { 0.00000011437, 0.98979614735, 1109.37855209340 }, @@ -4423,10 +4433,10 @@ const VSOP87Coefficient g_VSOP87_Q0_MERCURY[] = { 0.00000000004, 1.76857972555, 148.07872442630 }, { 0.00000000004, 2.76172520488, 151.04766984290 }, { 0.00000000004, 3.74527545853, 64741.95798313119 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_MERCURY[] = -{ +constexpr array g_VSOP87_Q1_MERCURY +{ { { 0.00065433117, 0.00000000000, 0.00000000000 }, { 0.00000001195, 2.07670556346, 1059.38193018920 }, { 0.00000000520, 4.62766248273, 529.69096509460 }, @@ -4516,10 +4526,10 @@ const VSOP87Coefficient g_VSOP87_Q1_MERCURY[] = { 0.00000000004, 1.99442363755, 63498.47038145279 }, { 0.00000000004, 3.61451356627, 79373.08797681599 }, { 0.00000000004, 5.73664975621, 53285.18483524180 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_MERCURY[] = -{ +constexpr array g_VSOP87_Q2_MERCURY +{ { { 0.00001071215, 3.14159265359, 0.00000000000 }, { 0.00000000019, 2.61398582704, 1059.38193018920 }, { 0.00000000012, 1.79194943615, 1109.37855209340 }, @@ -4531,25 +4541,25 @@ const VSOP87Coefficient g_VSOP87_Q2_MERCURY[] = { 0.00000000007, 6.04802515391, 15874.61759536320 }, { 0.00000000004, 4.77980101228, 213.29909543800 }, { 0.00000000004, 2.48909458036, 955.59974160860 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_MERCURY[] = -{ +constexpr array g_VSOP87_Q3_MERCURY +{ { { 0.00000022459, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q4_MERCURY[] = -{ +constexpr array g_VSOP87_Q4_MERCURY +{ { { 0.00000000377, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q5_MERCURY[] = -{ +constexpr array g_VSOP87_Q5_MERCURY +{ { { 0.00000000003, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_MERCURY[] = -{ +constexpr array g_VSOP87_P0_MERCURY +{ { { 0.04563550461, 0.00000000000, 0.00000000000 }, { 0.00000047057, 5.25384066589, 1059.38193018920 }, { 0.00000020015, 2.26523219459, 1109.37855209340 }, @@ -4822,10 +4832,10 @@ const VSOP87Coefficient g_VSOP87_P0_MERCURY[] = { 0.00000000004, 0.78778915215, 77154.33087262919 }, { 0.00000000004, 3.30678561069, 55618.38122811380 }, { 0.00000000004, 3.51563071546, 1223.81784077861 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_MERCURY[] = -{ +constexpr array g_VSOP87_P1_MERCURY +{ { { 0.00127633657, 3.14159265359, 0.00000000000 }, { 0.00000000979, 0.42387819908, 1059.38193018920 }, { 0.00000000797, 4.00846677420, 1109.37855209340 }, @@ -4932,10 +4942,10 @@ const VSOP87Coefficient g_VSOP87_P1_MERCURY[] = { 0.00000000004, 2.63418497115, 79373.08797681599 }, { 0.00000000004, 5.23206517730, 51066.42773105500 }, { 0.00000000004, 5.50117809360, 85034.42002596818 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_MERCURY[] = -{ +constexpr array g_VSOP87_P2_MERCURY +{ { { 0.00000913350, 3.14159265359, 0.00000000000 }, { 0.00000000028, 4.75017710758, 1109.37855209340 }, { 0.00000000024, 0.12982469259, 529.69096509460 }, @@ -4949,108 +4959,107 @@ const VSOP87Coefficient g_VSOP87_P2_MERCURY[] = { 0.00000000005, 2.77824145697, 11322.66409830440 }, { 0.00000000005, 2.96710637555, 20426.57109242200 }, { 0.00000000004, 1.68602074393, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_MERCURY[] = -{ +constexpr array g_VSOP87_P3_MERCURY +{ { { 0.00000018993, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P4_MERCURY[] = -{ +constexpr array g_VSOP87_P4_MERCURY +{ { { 0.00000000640, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P5_MERCURY[] = -{ +constexpr array g_VSOP87_P5_MERCURY +{ { { 0.00000000002, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_MERCURY[] = -{ - { g_VSOP87_A0_MERCURY, sizeof(g_VSOP87_A0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_MERCURY, sizeof(g_VSOP87_A1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_MERCURY, sizeof(g_VSOP87_A2_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_MERCURY +{ { + { g_VSOP87_A0_MERCURY.data(), g_VSOP87_A0_MERCURY.size() }, + { g_VSOP87_A1_MERCURY.data(), g_VSOP87_A1_MERCURY.size() }, + { g_VSOP87_A2_MERCURY.data(), g_VSOP87_A2_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_MERCURY[] = -{ - { g_VSOP87_L0_MERCURY, sizeof(g_VSOP87_L0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_MERCURY, sizeof(g_VSOP87_L1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_MERCURY, sizeof(g_VSOP87_L2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_MERCURY, sizeof(g_VSOP87_L3_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_MERCURY +{ { + { g_VSOP87_L0_MERCURY.data(), g_VSOP87_L0_MERCURY.size() }, + { g_VSOP87_L1_MERCURY.data(), g_VSOP87_L1_MERCURY.size() }, + { g_VSOP87_L2_MERCURY.data(), g_VSOP87_L2_MERCURY.size() }, + { g_VSOP87_L3_MERCURY.data(), g_VSOP87_L3_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_MERCURY[] = -{ - { g_VSOP87_K0_MERCURY, sizeof(g_VSOP87_K0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_MERCURY, sizeof(g_VSOP87_K1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_MERCURY, sizeof(g_VSOP87_K2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_MERCURY, sizeof(g_VSOP87_K3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_MERCURY, sizeof(g_VSOP87_K4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_MERCURY, sizeof(g_VSOP87_K5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_MERCURY +{ { + { g_VSOP87_K0_MERCURY.data(), g_VSOP87_K0_MERCURY.size() }, + { g_VSOP87_K1_MERCURY.data(), g_VSOP87_K1_MERCURY.size() }, + { g_VSOP87_K2_MERCURY.data(), g_VSOP87_K2_MERCURY.size() }, + { g_VSOP87_K3_MERCURY.data(), g_VSOP87_K3_MERCURY.size() }, + { g_VSOP87_K4_MERCURY.data(), g_VSOP87_K4_MERCURY.size() }, + { g_VSOP87_K5_MERCURY.data(), g_VSOP87_K5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_MERCURY[] = -{ - { g_VSOP87_H0_MERCURY, sizeof(g_VSOP87_H0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_MERCURY, sizeof(g_VSOP87_H1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_MERCURY, sizeof(g_VSOP87_H2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_MERCURY, sizeof(g_VSOP87_H3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_MERCURY, sizeof(g_VSOP87_H4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_MERCURY, sizeof(g_VSOP87_H5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_MERCURY +{ { + { g_VSOP87_H0_MERCURY.data(), g_VSOP87_H0_MERCURY.size() }, + { g_VSOP87_H1_MERCURY.data(), g_VSOP87_H1_MERCURY.size() }, + { g_VSOP87_H2_MERCURY.data(), g_VSOP87_H2_MERCURY.size() }, + { g_VSOP87_H3_MERCURY.data(), g_VSOP87_H3_MERCURY.size() }, + { g_VSOP87_H4_MERCURY.data(), g_VSOP87_H4_MERCURY.size() }, + { g_VSOP87_H5_MERCURY.data(), g_VSOP87_H5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_MERCURY[] = -{ - { g_VSOP87_Q0_MERCURY, sizeof(g_VSOP87_Q0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_MERCURY, sizeof(g_VSOP87_Q1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_MERCURY, sizeof(g_VSOP87_Q2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_MERCURY, sizeof(g_VSOP87_Q3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q4_MERCURY, sizeof(g_VSOP87_Q4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q5_MERCURY, sizeof(g_VSOP87_Q5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_MERCURY +{ { + { g_VSOP87_Q0_MERCURY.data(), g_VSOP87_Q0_MERCURY.size() }, + { g_VSOP87_Q1_MERCURY.data(), g_VSOP87_Q1_MERCURY.size() }, + { g_VSOP87_Q2_MERCURY.data(), g_VSOP87_Q2_MERCURY.size() }, + { g_VSOP87_Q3_MERCURY.data(), g_VSOP87_Q3_MERCURY.size() }, + { g_VSOP87_Q4_MERCURY.data(), g_VSOP87_Q4_MERCURY.size() }, + { g_VSOP87_Q5_MERCURY.data(), g_VSOP87_Q5_MERCURY.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_MERCURY[] = -{ - { g_VSOP87_P0_MERCURY, sizeof(g_VSOP87_P0_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_MERCURY, sizeof(g_VSOP87_P1_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_MERCURY, sizeof(g_VSOP87_P2_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_MERCURY, sizeof(g_VSOP87_P3_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P4_MERCURY, sizeof(g_VSOP87_P4_MERCURY)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P5_MERCURY, sizeof(g_VSOP87_P5_MERCURY)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_MERCURY +{ { + { g_VSOP87_P0_MERCURY.data(), g_VSOP87_P0_MERCURY.size() }, + { g_VSOP87_P1_MERCURY.data(), g_VSOP87_P1_MERCURY.size() }, + { g_VSOP87_P2_MERCURY.data(), g_VSOP87_P2_MERCURY.size() }, + { g_VSOP87_P3_MERCURY.data(), g_VSOP87_P3_MERCURY.size() }, + { g_VSOP87_P4_MERCURY.data(), g_VSOP87_P4_MERCURY.size() }, + { g_VSOP87_P5_MERCURY.data(), g_VSOP87_P5_MERCURY.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Mercury::A(double JD) +double CAAVSOP87_Mercury::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_MERCURY, sizeof(g_VSOP87_A_MERCURY)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_MERCURY.data(), g_VSOP87_A_MERCURY.size(), false); } -double CAAVSOP87_Mercury::L(double JD) +double CAAVSOP87_Mercury::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_MERCURY, sizeof(g_VSOP87_L_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_MERCURY.data(), g_VSOP87_L_MERCURY.size(), true); } -double CAAVSOP87_Mercury::K(double JD) +double CAAVSOP87_Mercury::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_MERCURY, sizeof(g_VSOP87_K_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_MERCURY.data(), g_VSOP87_K_MERCURY.size(), false); } -double CAAVSOP87_Mercury::H(double JD) +double CAAVSOP87_Mercury::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_MERCURY, sizeof(g_VSOP87_H_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_MERCURY.data(), g_VSOP87_H_MERCURY.size(), false); } -double CAAVSOP87_Mercury::Q(double JD) +double CAAVSOP87_Mercury::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_MERCURY, sizeof(g_VSOP87_Q_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_MERCURY.data(), g_VSOP87_Q_MERCURY.size(), false); } -double CAAVSOP87_Mercury::P(double JD) +double CAAVSOP87_Mercury::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_MERCURY, sizeof(g_VSOP87_P_MERCURY)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_MERCURY.data(), g_VSOP87_P_MERCURY.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_SAT.cpp b/Sources/AAPlus/AAVSOP87_SAT.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87_SAT.cpp rename to Sources/AAPlus/AAVSOP87_SAT.cpp index 165d658..6002357 --- a/Vendor/AA+/1.6.3/AAVSOP87_SAT.cpp +++ b/Sources/AAPlus/AAVSOP87_SAT.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_SATURN +{ { { 9.55490959574, 0.00000000000, 0.00000000000 }, { 0.03363448736, 6.00973673460, 316.39186965660 }, { 0.00354492417, 5.81482665415, 103.09277421860 }, @@ -1524,10 +1534,10 @@ const VSOP87Coefficient g_VSOP87_A0_SATURN[] = { 0.00000000697, 5.36093793912, 1334.72000290120 }, { 0.00000000947, 6.01385229937, 407.47573576480 }, { 0.00000000677, 0.17788353235, 944.98282327580 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_SATURN[] = -{ +constexpr array g_VSOP87_A1_SATURN +{ { { 0.00115108584, 1.31913907888, 7.11354700080 }, { 0.00020477409, 5.54887034001, 419.48464387520 }, { 0.00019395929, 3.30487092881, 213.29909543800 }, @@ -2255,10 +2265,10 @@ const VSOP87Coefficient g_VSOP87_A1_SATURN[] = { 0.00000000763, 0.26536481382, 706.81457835510 }, { 0.00000000696, 1.79592462336, 7.86430652620 }, { 0.00000000696, 1.78329975397, 5282.68255694440 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_SATURN[] = -{ +constexpr array g_VSOP87_A2_SATURN +{ { { 0.00023754277, 5.89931397638, 7.11354700080 }, { 0.00003334839, 3.25589178410, 309.27832265580 }, { 0.00003067531, 5.60883291989, 323.50541665740 }, @@ -2613,10 +2623,10 @@ const VSOP87Coefficient g_VSOP87_A2_SATURN[] = { 0.00000000741, 3.08180158302, 273.10284047830 }, { 0.00000000694, 1.01399199280, 429.77958461370 }, { 0.00000000803, 4.67164503476, 4532.57894941100 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A3_SATURN[] = -{ +constexpr array g_VSOP87_A3_SATURN +{ { { 0.00003271907, 4.17756548130, 7.11354700080 }, { 0.00000477556, 4.05190593975, 14.22709400160 }, { 0.00000461023, 4.99147561075, 309.27832265580 }, @@ -2779,10 +2789,10 @@ const VSOP87Coefficient g_VSOP87_A3_SATURN[] = { 0.00000000705, 1.64686239997, 202.25339517410 }, { 0.00000000690, 3.98348347662, 1560.61870728060 }, { 0.00000000876, 4.02027540120, 195.13984817330 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A4_SATURN[] = -{ +constexpr array g_VSOP87_A4_SATURN +{ { { 0.00000341473, 2.43564629006, 7.11354700080 }, { 0.00000098116, 2.33594379968, 14.22709400160 }, { 0.00000048086, 0.47013326634, 309.27832265580 }, @@ -2845,10 +2855,10 @@ const VSOP87Coefficient g_VSOP87_A4_SATURN[] = { 0.00000000985, 4.76283360737, 405.25754987360 }, { 0.00000000927, 3.14399512005, 2310.72231481400 }, { 0.00000000688, 4.67541214829, 1368.66025284500 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A5_SATURN[] = -{ +constexpr array g_VSOP87_A5_SATURN +{ { { 0.00000026257, 0.68792247974, 7.11354700080 }, { 0.00000015363, 0.58720885583, 14.22709400160 }, { 0.00000003717, 2.28971221289, 309.27832265580 }, @@ -2862,10 +2872,10 @@ const VSOP87Coefficient g_VSOP87_A5_SATURN[] = { 0.00000001283, 0.03915543315, 412.37109687440 }, { 0.00000000826, 0.82426716419, 831.85574074960 }, { 0.00000000747, 1.39473916181, 206.18554843720 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_SATURN[] = -{ +constexpr array g_VSOP87_L0_SATURN +{ { { 0.87401675650, 0.00000000000, 0.00000000000 }, { 0.01411655077, 4.58553469006, 7.11354700080 }, { 0.00259784547, 4.43343036691, 316.39186965660 }, @@ -4597,10 +4607,10 @@ const VSOP87Coefficient g_VSOP87_L0_SATURN[] = { 0.00000000087, 5.22250544750, 845.33207522580 }, { 0.00000000094, 4.14863682094, 96.94243506430 }, { 0.00000000078, 3.83339165178, 954.80468326230 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_SATURN[] = -{ +constexpr array g_VSOP87_L1_SATURN +{ { { 213.29909543800, 0.00000000000, 0.00000000000 }, { 0.00563352798, 2.88478561660, 7.11354700080 }, { 0.00014171331, 1.28319722079, 103.09277421860 }, @@ -5467,10 +5477,10 @@ const VSOP87Coefficient g_VSOP87_L1_SATURN[] = { 0.00000000074, 0.92740688567, 1310.39337013970 }, { 0.00000000081, 5.86478038163, 376.19561469690 }, { 0.00000000072, 3.51033531848, 18635.92845453620 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_SATURN[] = -{ +constexpr array g_VSOP87_L2_SATURN +{ { { 0.00116235667, 1.17971682406, 7.11354700080 }, { 0.00036659741, 0.00000000000, 0.00000000000 }, { 0.00004235353, 1.04508642603, 14.22709400160 }, @@ -5860,10 +5870,10 @@ const VSOP87Coefficient g_VSOP87_L2_SATURN[] = { 0.00000000078, 5.41599829049, 707.77778620160 }, { 0.00000000083, 1.31118112848, 901.95442652840 }, { 0.00000000081, 5.82899593787, 913.00012679230 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_SATURN[] = -{ +constexpr array g_VSOP87_L3_SATURN +{ { { 0.00016010484, 5.73932776276, 7.11354700080 }, { 0.00001153866, 5.61897587419, 14.22709400160 }, { 0.00000165370, 5.11701152226, 3.18139373770 }, @@ -6021,10 +6031,10 @@ const VSOP87Coefficient g_VSOP87_L3_SATURN[] = { 0.00000000095, 6.27266844593, 357.44566660120 }, { 0.00000000087, 4.74909528813, 340.77089204480 }, { 0.00000000076, 4.05746311103, 265.98929347750 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_SATURN[] = -{ +constexpr array g_VSOP87_L4_SATURN +{ { { 0.00001658821, 3.99816906699, 7.11354700080 }, { 0.00000234793, 3.90186602545, 14.22709400160 }, { 0.00000009502, 3.71411588596, 21.34064100240 }, @@ -6076,10 +6086,10 @@ const VSOP87Coefficient g_VSOP87_L4_SATURN[] = { 0.00000000212, 2.61283379230, 213.29909543800 }, { 0.00000000217, 0.00000000000, 0.00000000000 }, { 0.00000000079, 0.31907618210, 56.62235130260 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_SATURN[] = -{ +constexpr array g_VSOP87_L5_SATURN +{ { { 0.00000123289, 2.25871880597, 7.11354700080 }, { 0.00000033974, 2.16303127621, 14.22709400160 }, { 0.00000000676, 2.85055191626, 199.07200143640 }, @@ -6087,10 +6097,10 @@ const VSOP87Coefficient g_VSOP87_L5_SATURN[] = { 0.00000000307, 1.66011233102, 412.37109687440 }, { 0.00000000227, 2.59576596190, 515.46387109300 }, { 0.00000000216, 5.16278730743, 323.50541665740 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_SATURN[] = -{ +constexpr array g_VSOP87_K0_SATURN +{ { { 0.00296003595, 3.14159265359, 0.00000000000 }, { 0.00155326496, 5.16402515606, 7.11354700080 }, { 0.00197268763, 0.59616692002, 529.69096509460 }, @@ -7606,10 +7616,10 @@ const VSOP87Coefficient g_VSOP87_K0_SATURN[] = { 0.00000000078, 2.98215725214, 817.62864674800 }, { 0.00000000072, 1.71855848503, 736.62727305720 }, { 0.00000000081, 3.41439036369, 983.11585891360 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_SATURN[] = -{ +constexpr array g_VSOP87_K1_SATURN +{ { { 0.00529602626, 3.14159265359, 0.00000000000 }, { 0.00041825363, 3.46891617076, 7.11354700080 }, { 0.00003861305, 4.51435630426, 110.20632121940 }, @@ -8333,10 +8343,10 @@ const VSOP87Coefficient g_VSOP87_K1_SATURN[] = { 0.00000000076, 5.89649382857, 51962.50718771040 }, { 0.00000000072, 5.97655692566, 5959.57043333400 }, { 0.00000000072, 2.86287052750, 289.56516671360 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_SATURN[] = -{ +constexpr array g_VSOP87_K2_SATURN +{ { { 0.00030928405, 0.00000000000, 0.00000000000 }, { 0.00005845583, 1.74297057661, 7.11354700080 }, { 0.00000659964, 1.62806088279, 14.22709400160 }, @@ -8665,10 +8675,10 @@ const VSOP87Coefficient g_VSOP87_K2_SATURN[] = { 0.00000000079, 5.29055594799, 114.39910691340 }, { 0.00000000078, 0.80098841030, 561.18353448360 }, { 0.00000000071, 6.17263463975, 543.02428721890 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_SATURN[] = -{ +constexpr array g_VSOP87_K3_SATURN +{ { { 0.00001296215, 0.00000000000, 0.00000000000 }, { 0.00000545551, 6.25563367048, 7.11354700080 }, { 0.00000149861, 6.20191648890, 14.22709400160 }, @@ -8798,10 +8808,10 @@ const VSOP87Coefficient g_VSOP87_K3_SATURN[] = { 0.00000000077, 2.40226447331, 127.47179660680 }, { 0.00000000077, 1.61858837248, 333.65734504400 }, { 0.00000000074, 0.57109261078, 347.88443904560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_SATURN[] = -{ +constexpr array g_VSOP87_K4_SATURN +{ { { 0.00000059959, 3.14159265359, 0.00000000000 }, { 0.00000038035, 4.48314609111, 7.11354700080 }, { 0.00000024716, 4.47552473928, 14.22709400160 }, @@ -8843,17 +8853,17 @@ const VSOP87Coefficient g_VSOP87_K4_SATURN[] = { 0.00000000185, 2.80722892545, 543.91805909620 }, { 0.00000000197, 3.62426552747, 1567.73225428140 }, { 0.00000000181, 3.56757213854, 1375.77379984580 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_SATURN[] = -{ +constexpr array g_VSOP87_K5_SATURN +{ { { 0.00000002440, 2.74821614407, 14.22709400160 }, { 0.00000000498, 1.31514855858, 88.86568021700 }, { 0.00000000266, 1.08717956670, 95.97922721780 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_SATURN[] = -{ +constexpr array g_VSOP87_H0_SATURN +{ { { 0.05542964254, 0.00000000000, 0.00000000000 }, { 0.00154553684, 3.59447132230, 7.11354700080 }, { 0.00196887619, 5.31528897782, 529.69096509460 }, @@ -10357,10 +10367,10 @@ const VSOP87Coefficient g_VSOP87_H0_SATURN[] = { 0.00000000078, 4.56834492241, 817.62864674800 }, { 0.00000000087, 1.41311071795, 200.55647414470 }, { 0.00000000090, 0.05069302876, 3494.53766022420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_SATURN[] = -{ +constexpr array g_VSOP87_H1_SATURN +{ { { 0.00375593887, 3.14159265359, 0.00000000000 }, { 0.00041501368, 1.90158625579, 7.11354700080 }, { 0.00004266149, 2.73559155724, 110.20632121940 }, @@ -11074,10 +11084,10 @@ const VSOP87Coefficient g_VSOP87_H1_SATURN[] = { 0.00000000077, 2.57417183392, 563.63121503840 }, { 0.00000000072, 1.29133781308, 289.56516671360 }, { 0.00000000074, 2.16544102998, 295.19424100610 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_SATURN[] = -{ +constexpr array g_VSOP87_H2_SATURN +{ { { 0.00031990236, 3.14159265359, 0.00000000000 }, { 0.00005775783, 0.17981518193, 7.11354700080 }, { 0.00000657289, 0.05011130497, 14.22709400160 }, @@ -11392,10 +11402,10 @@ const VSOP87Coefficient g_VSOP87_H2_SATURN[] = { 0.00000000081, 3.38267007904, 556.51766803760 }, { 0.00000000079, 5.74769967396, 570.74476203920 }, { 0.00000000079, 3.71984180278, 114.39910691340 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_SATURN[] = -{ +constexpr array g_VSOP87_H3_SATURN +{ { { 0.00001598633, 0.00000000000, 0.00000000000 }, { 0.00000535978, 4.69648491816, 7.11354700080 }, { 0.00000149460, 4.61547942713, 14.22709400160 }, @@ -11522,10 +11532,10 @@ const VSOP87Coefficient g_VSOP87_H3_SATURN[] = { 0.00000000077, 4.27481663992, 134.58534360760 }, { 0.00000000074, 4.14284791130, 127.47179660680 }, { 0.00000000075, 3.16818620262, 333.65734504400 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_SATURN[] = -{ +constexpr array g_VSOP87_H4_SATURN +{ { { 0.00000038337, 2.87536293355, 7.11354700080 }, { 0.00000032451, 0.00000000000, 0.00000000000 }, { 0.00000023823, 2.87705110474, 14.22709400160 }, @@ -11569,17 +11579,17 @@ const VSOP87Coefficient g_VSOP87_H4_SATURN[] = { 0.00000000197, 5.71444324108, 942.06206196900 }, { 0.00000000176, 1.25800631418, 543.91805909620 }, { 0.00000000191, 5.15392216094, 1567.73225428140 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_SATURN[] = -{ +constexpr array g_VSOP87_H5_SATURN +{ { { 0.00000002360, 1.21537636736, 14.22709400160 }, { 0.00000000529, 3.09025869729, 88.86568021700 }, { 0.00000000371, 3.26777015540, 95.97922721780 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_SATURN[] = -{ +constexpr array g_VSOP87_Q0_SATURN +{ { { 0.00871747436, 3.14159265359, 0.00000000000 }, { 0.00002058688, 5.23320611640, 7.11354700080 }, { 0.00000728561, 0.38737907630, 316.39186965660 }, @@ -11842,10 +11852,10 @@ const VSOP87Coefficient g_VSOP87_Q0_SATURN[] = { 0.00000000083, 3.35118443808, 124.43341522100 }, { 0.00000000082, 2.15819072849, 3899.79521009780 }, { 0.00000000073, 0.61482974412, 264.50482076920 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_SATURN[] = -{ +constexpr array g_VSOP87_Q1_SATURN +{ { { 0.00080171499, 0.00000000000, 0.00000000000 }, { 0.00000105708, 2.50888031392, 316.39186965660 }, { 0.00000088141, 1.31325699145, 110.20632121940 }, @@ -11973,10 +11983,10 @@ const VSOP87Coefficient g_VSOP87_Q1_SATURN[] = { 0.00000000087, 1.30617652367, 350.33211960040 }, { 0.00000000081, 4.43094666261, 703.63318461740 }, { 0.00000000087, 2.09544681905, 362.86229257260 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_SATURN[] = -{ +constexpr array g_VSOP87_Q2_SATURN +{ { { 0.00004142282, 0.00000000000, 0.00000000000 }, { 0.00000011362, 4.90853994849, 7.11354700080 }, { 0.00000006318, 3.66391514250, 316.39186965660 }, @@ -12022,10 +12032,10 @@ const VSOP87Coefficient g_VSOP87_Q2_SATURN[] = { 0.00000000130, 3.70748326888, 956.28915597060 }, { 0.00000000116, 0.78240517816, 2001.44399215820 }, { 0.00000000112, 3.08142228167, 117.31986822020 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_SATURN[] = -{ +constexpr array g_VSOP87_Q3_SATURN +{ { { 0.00000196049, 3.14159265359, 0.00000000000 }, { 0.00000000620, 3.01125455599, 103.09277421860 }, { 0.00000000602, 4.22569324461, 110.20632121940 }, @@ -12036,15 +12046,15 @@ const VSOP87Coefficient g_VSOP87_Q3_SATURN[] = { 0.00000000256, 5.82865184398, 309.27832265580 }, { 0.00000000193, 2.93857886922, 419.48464387520 }, { 0.00000000136, 3.95726117181, 426.59819087600 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q4_SATURN[] = -{ +constexpr array g_VSOP87_Q4_SATURN +{ { { 0.00000009439, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_SATURN[] = -{ +constexpr array g_VSOP87_P0_SATURN +{ { { 0.01989147301, 0.00000000000, 0.00000000000 }, { 0.00002063161, 3.60620665217, 7.11354700080 }, { 0.00000844341, 2.43897824481, 316.39186965660 }, @@ -12305,10 +12315,10 @@ const VSOP87Coefficient g_VSOP87_P0_SATURN[] = { 0.00000000073, 3.94449988688, 606.76018552230 }, { 0.00000000072, 2.50629743599, 731.94436026870 }, { 0.00000000088, 1.38962847916, 894.84087952760 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_SATURN[] = -{ +constexpr array g_VSOP87_P1_SATURN +{ { { 0.00059439766, 0.00000000000, 0.00000000000 }, { 0.00000092546, 3.49987224415, 316.39186965660 }, { 0.00000084966, 6.09753966996, 110.20632121940 }, @@ -12438,10 +12448,10 @@ const VSOP87Coefficient g_VSOP87_P1_SATURN[] = { 0.00000000088, 0.04537584860, 479.28838891550 }, { 0.00000000080, 2.85349348791, 703.63318461740 }, { 0.00000000086, 0.54331530295, 362.86229257260 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_SATURN[] = -{ +constexpr array g_VSOP87_P2_SATURN +{ { { 0.00005235117, 3.14159265359, 0.00000000000 }, { 0.00000011219, 3.58695503002, 7.11354700080 }, { 0.00000007374, 5.52116818674, 316.39186965660 }, @@ -12487,10 +12497,10 @@ const VSOP87Coefficient g_VSOP87_P2_SATURN[] = { 0.00000000146, 3.01677003850, 1045.15483618760 }, { 0.00000000160, 2.06485570415, 1685.05212250160 }, { 0.00000000150, 0.55769819330, 117.31986822020 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_SATURN[] = -{ +constexpr array g_VSOP87_P3_SATURN +{ { { 0.00000127219, 3.14159265359, 0.00000000000 }, { 0.00000000737, 5.81270349442, 103.09277421860 }, { 0.00000000576, 2.59727358859, 110.20632121940 }, @@ -12500,101 +12510,100 @@ const VSOP87Coefficient g_VSOP87_P3_SATURN[] = { 0.00000000228, 5.43795259009, 419.48464387520 }, { 0.00000000255, 1.12141675976, 309.27832265580 }, { 0.00000000202, 0.33687928347, 316.39186965660 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P4_SATURN[] = -{ +constexpr array g_VSOP87_P4_SATURN +{ { { 0.00000008295, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_SATURN[] = -{ - { g_VSOP87_A0_SATURN, sizeof(g_VSOP87_A0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_SATURN, sizeof(g_VSOP87_A1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_SATURN, sizeof(g_VSOP87_A2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A3_SATURN, sizeof(g_VSOP87_A3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A4_SATURN, sizeof(g_VSOP87_A4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A5_SATURN, sizeof(g_VSOP87_A5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_SATURN +{ { + { g_VSOP87_A0_SATURN.data(), g_VSOP87_A0_SATURN.size() }, + { g_VSOP87_A1_SATURN.data(), g_VSOP87_A1_SATURN.size() }, + { g_VSOP87_A2_SATURN.data(), g_VSOP87_A2_SATURN.size() }, + { g_VSOP87_A3_SATURN.data(), g_VSOP87_A3_SATURN.size() }, + { g_VSOP87_A4_SATURN.data(), g_VSOP87_A4_SATURN.size() }, + { g_VSOP87_A5_SATURN.data(), g_VSOP87_A5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_SATURN[] = -{ - { g_VSOP87_L0_SATURN, sizeof(g_VSOP87_L0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_SATURN, sizeof(g_VSOP87_L1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_SATURN, sizeof(g_VSOP87_L2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_SATURN, sizeof(g_VSOP87_L3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_SATURN, sizeof(g_VSOP87_L4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_SATURN, sizeof(g_VSOP87_L5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_SATURN +{ { + { g_VSOP87_L0_SATURN.data(), g_VSOP87_L0_SATURN.size() }, + { g_VSOP87_L1_SATURN.data(), g_VSOP87_L1_SATURN.size() }, + { g_VSOP87_L2_SATURN.data(), g_VSOP87_L2_SATURN.size() }, + { g_VSOP87_L3_SATURN.data(), g_VSOP87_L3_SATURN.size() }, + { g_VSOP87_L4_SATURN.data(), g_VSOP87_L4_SATURN.size() }, + { g_VSOP87_L5_SATURN.data(), g_VSOP87_L5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_SATURN[] = -{ - { g_VSOP87_K0_SATURN, sizeof(g_VSOP87_K0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_SATURN, sizeof(g_VSOP87_K1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_SATURN, sizeof(g_VSOP87_K2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_SATURN, sizeof(g_VSOP87_K3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_SATURN, sizeof(g_VSOP87_K4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_SATURN, sizeof(g_VSOP87_K5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_SATURN +{ { + { g_VSOP87_K0_SATURN.data(), g_VSOP87_K0_SATURN.size() }, + { g_VSOP87_K1_SATURN.data(), g_VSOP87_K1_SATURN.size() }, + { g_VSOP87_K2_SATURN.data(), g_VSOP87_K2_SATURN.size() }, + { g_VSOP87_K3_SATURN.data(), g_VSOP87_K3_SATURN.size() }, + { g_VSOP87_K4_SATURN.data(), g_VSOP87_K4_SATURN.size() }, + { g_VSOP87_K5_SATURN.data(), g_VSOP87_K5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_SATURN[] = -{ - { g_VSOP87_H0_SATURN, sizeof(g_VSOP87_H0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_SATURN, sizeof(g_VSOP87_H1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_SATURN, sizeof(g_VSOP87_H2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_SATURN, sizeof(g_VSOP87_H3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_SATURN, sizeof(g_VSOP87_H4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_SATURN, sizeof(g_VSOP87_H5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_SATURN +{ { + { g_VSOP87_H0_SATURN.data(), g_VSOP87_H0_SATURN.size() }, + { g_VSOP87_H1_SATURN.data(), g_VSOP87_H1_SATURN.size() }, + { g_VSOP87_H2_SATURN.data(), g_VSOP87_H2_SATURN.size() }, + { g_VSOP87_H3_SATURN.data(), g_VSOP87_H3_SATURN.size() }, + { g_VSOP87_H4_SATURN.data(), g_VSOP87_H4_SATURN.size() }, + { g_VSOP87_H5_SATURN.data(), g_VSOP87_H5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_SATURN[] = -{ - { g_VSOP87_Q0_SATURN, sizeof(g_VSOP87_Q0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_SATURN, sizeof(g_VSOP87_Q1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_SATURN, sizeof(g_VSOP87_Q2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_SATURN, sizeof(g_VSOP87_Q3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q4_SATURN, sizeof(g_VSOP87_Q4_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_SATURN +{ { + { g_VSOP87_Q0_SATURN.data(), g_VSOP87_Q0_SATURN.size() }, + { g_VSOP87_Q1_SATURN.data(), g_VSOP87_Q1_SATURN.size() }, + { g_VSOP87_Q2_SATURN.data(), g_VSOP87_Q2_SATURN.size() }, + { g_VSOP87_Q3_SATURN.data(), g_VSOP87_Q3_SATURN.size() }, + { g_VSOP87_Q4_SATURN.data(), g_VSOP87_Q4_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_SATURN[] = -{ - { g_VSOP87_P0_SATURN, sizeof(g_VSOP87_P0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_SATURN, sizeof(g_VSOP87_P1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_SATURN, sizeof(g_VSOP87_P2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_SATURN, sizeof(g_VSOP87_P3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P4_SATURN, sizeof(g_VSOP87_P4_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_SATURN +{ { + { g_VSOP87_P0_SATURN.data(), g_VSOP87_P0_SATURN.size() }, + { g_VSOP87_P1_SATURN.data(), g_VSOP87_P1_SATURN.size() }, + { g_VSOP87_P2_SATURN.data(), g_VSOP87_P2_SATURN.size() }, + { g_VSOP87_P3_SATURN.data(), g_VSOP87_P3_SATURN.size() }, + { g_VSOP87_P4_SATURN.data(), g_VSOP87_P4_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Saturn::A(double JD) +double CAAVSOP87_Saturn::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_SATURN, sizeof(g_VSOP87_A_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_SATURN.data(), g_VSOP87_A_SATURN.size(), false); } -double CAAVSOP87_Saturn::L(double JD) +double CAAVSOP87_Saturn::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_SATURN, sizeof(g_VSOP87_L_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_SATURN.data(), g_VSOP87_L_SATURN.size(), true); } -double CAAVSOP87_Saturn::K(double JD) +double CAAVSOP87_Saturn::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_SATURN, sizeof(g_VSOP87_K_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_SATURN.data(), g_VSOP87_K_SATURN.size(), false); } -double CAAVSOP87_Saturn::H(double JD) +double CAAVSOP87_Saturn::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_SATURN, sizeof(g_VSOP87_H_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_SATURN.data(), g_VSOP87_H_SATURN.size(), false); } -double CAAVSOP87_Saturn::Q(double JD) +double CAAVSOP87_Saturn::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_SATURN, sizeof(g_VSOP87_Q_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_SATURN.data(), g_VSOP87_Q_SATURN.size(), false); } -double CAAVSOP87_Saturn::P(double JD) +double CAAVSOP87_Saturn::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_SATURN, sizeof(g_VSOP87_P_SATURN)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_SATURN.data(), g_VSOP87_P_SATURN.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_VEN.cpp b/Sources/AAPlus/AAVSOP87_VEN.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87_VEN.cpp rename to Sources/AAPlus/AAVSOP87_VEN.cpp index b88b85d..2a29fe6 --- a/Vendor/AA+/1.6.3/AAVSOP87_VEN.cpp +++ b/Sources/AAPlus/AAVSOP87_VEN.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_VENUS +{ { { 0.72332981996, 0.00000000000, 0.00000000000 }, { 0.00000432219, 2.84552760786, 7860.41939243920 }, { 0.00000293981, 5.15392250791, 19367.18916223280 }, @@ -340,10 +350,10 @@ const VSOP87Coefficient g_VSOP87_A0_VENUS[] = { 0.00000000028, 4.97657046942, 9411.46461508720 }, { 0.00000000027, 1.31410802785, 83309.92623193559 }, { 0.00000000036, 0.69878245136, 106115.66179792916 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_VENUS[] = -{ +constexpr array g_VSOP87_A1_VENUS +{ { { 0.00000009383, 4.54283615945, 1577.34354244780 }, { 0.00000003422, 5.97031203836, 5507.55323866740 }, { 0.00000002602, 5.68115989357, 18837.49819713819 }, @@ -512,10 +522,10 @@ const VSOP87Coefficient g_VSOP87_A1_VENUS[] = { 0.00000000014, 2.30497466623, 17085.95866572220 }, { 0.00000000014, 5.38161097951, 23958.63178523340 }, { 0.00000000014, 2.84542811749, 574.34479833480 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_VENUS[] = -{ +constexpr array g_VSOP87_A2_VENUS +{ { { 0.00000000434, 6.23902557676, 1577.34354244780 }, { 0.00000000412, 2.42062289972, 775.52261132400 }, { 0.00000000157, 1.38147987773, 5507.55323866740 }, @@ -568,10 +578,10 @@ const VSOP87Coefficient g_VSOP87_A2_VENUS[] = { 0.00000000007, 3.79410387668, 19573.37471066999 }, { 0.00000000009, 5.87731459817, 11790.62908865880 }, { 0.00000000007, 0.38058017226, 25934.12433108940 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_VENUS[] = -{ +constexpr array g_VSOP87_L0_VENUS +{ { { 3.17614669689, 0.00000000000, 0.00000000000 }, { 0.00002003673, 4.41634412285, 7860.41939243920 }, { 0.00001974219, 2.99373531667, 3930.20969621960 }, @@ -1071,10 +1081,10 @@ const VSOP87Coefficient g_VSOP87_L0_VENUS[] = { 0.00000000038, 2.74498790436, 51449.32426327820 }, { 0.00000000038, 5.86060916971, 625.62513619720 }, { 0.00000000045, 5.44920090134, 2.96894541660 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_VENUS[] = -{ +constexpr array g_VSOP87_L1_VENUS +{ { { 10213.28554621100, 0.00000000000, 0.00000000000 }, { 0.00000147221, 6.10436974053, 1577.34354244780 }, { 0.00000173922, 2.65539758046, 26.29831979980 }, @@ -1276,10 +1286,10 @@ const VSOP87Coefficient g_VSOP87_L1_VENUS[] = { 0.00000000035, 2.97358065883, 14919.01785375460 }, { 0.00000000047, 2.83305128960, 27461.71084806540 }, { 0.00000000042, 5.78140349359, 37674.99639427640 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_VENUS[] = -{ +constexpr array g_VSOP87_L2_VENUS +{ { { 0.00000287889, 0.00000000000, 0.00000000000 }, { 0.00000023840, 2.04592287750, 26.29831979980 }, { 0.00000009926, 3.96998987471, 775.52261132400 }, @@ -1323,15 +1333,15 @@ const VSOP87Coefficient g_VSOP87_L2_VENUS[] = { 0.00000000043, 4.89773557933, 28286.99048486120 }, { 0.00000000037, 4.74267238088, 28521.09277825460 }, { 0.00000000038, 0.51768730374, 1551.04522264800 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_VENUS[] = -{ +constexpr array g_VSOP87_L3_VENUS +{ { { 0.00000003038, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_VENUS[] = -{ +constexpr array g_VSOP87_K0_VENUS +{ { { 0.00449282133, 3.14159265359, 0.00000000000 }, { 0.00002247401, 1.09074471887, 1577.34354244780 }, { 0.00001705727, 3.47431815156, 2352.86615377180 }, @@ -1774,10 +1784,10 @@ const VSOP87Coefficient g_VSOP87_K0_VENUS[] = { 0.00000000038, 1.66827071207, 85034.42002596818 }, { 0.00000000043, 2.23521917336, 28418.00000403600 }, { 0.00000000036, 3.21465119311, 48108.71183657840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_VENUS[] = -{ +constexpr array g_VSOP87_K1_VENUS +{ { { 0.00031259019, 0.00000000000, 0.00000000000 }, { 0.00000029898, 5.20863208298, 775.52261132400 }, { 0.00000012622, 4.48811780661, 191.44826611160 }, @@ -1936,10 +1946,10 @@ const VSOP87Coefficient g_VSOP87_K1_VENUS[] = { 0.00000000036, 2.26314199065, 9050.81084180320 }, { 0.00000000035, 6.11210760796, 32243.49850088060 }, { 0.00000000037, 0.66400423819, 3532.06069281140 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_VENUS[] = -{ +constexpr array g_VSOP87_K2_VENUS +{ { { 0.00000604065, 0.00000000000, 0.00000000000 }, { 0.00000001386, 3.51906424408, 775.52261132400 }, { 0.00000000494, 6.07393164435, 191.44826611160 }, @@ -1968,25 +1978,25 @@ const VSOP87Coefficient g_VSOP87_K2_VENUS[] = { 0.00000000046, 4.84564953792, 8662.24032356300 }, { 0.00000000037, 4.62949248708, 5507.55323866740 }, { 0.00000000045, 5.69096597731, 10988.80815753500 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_VENUS[] = -{ +constexpr array g_VSOP87_K3_VENUS +{ { { 0.00000068351, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_VENUS[] = -{ +constexpr array g_VSOP87_K4_VENUS +{ { { 0.00000000494, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_VENUS[] = -{ +constexpr array g_VSOP87_K5_VENUS +{ { { 0.00000000060, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_VENUS[] = -{ +constexpr array g_VSOP87_H0_VENUS +{ { { 0.00506684726, 0.00000000000, 0.00000000000 }, { 0.00002230653, 2.66432207509, 1577.34354244780 }, { 0.00001690127, 1.89924451370, 2352.86615377180 }, @@ -2426,10 +2436,10 @@ const VSOP87Coefficient g_VSOP87_H0_VENUS[] = { 0.00000000042, 5.43176864862, 41427.48698317880 }, { 0.00000000036, 2.56592879100, 86143.79857806159 }, { 0.00000000036, 4.96639815151, 38086.87455647900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_VENUS[] = -{ +constexpr array g_VSOP87_H1_VENUS +{ { { 0.00036121239, 3.14159265359, 0.00000000000 }, { 0.00000030055, 3.64543939483, 775.52261132400 }, { 0.00000012811, 6.04301367201, 191.44826611160 }, @@ -2597,10 +2607,10 @@ const VSOP87Coefficient g_VSOP87_H1_VENUS[] = { 0.00000000047, 6.11836706074, 5481.25491886760 }, { 0.00000000036, 1.84716742290, 19573.37471066999 }, { 0.00000000049, 1.34156861940, 28286.99048486120 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_VENUS[] = -{ +constexpr array g_VSOP87_H2_VENUS +{ { { 0.00001846764, 0.00000000000, 0.00000000000 }, { 0.00000001380, 1.93823239419, 775.52261132400 }, { 0.00000000514, 1.30312465089, 191.44826611160 }, @@ -2626,25 +2636,25 @@ const VSOP87Coefficient g_VSOP87_H2_VENUS[] = { 0.00000000067, 5.11428836342, 9153.90361602180 }, { 0.00000000046, 0.62519044795, 14945.31617355440 }, { 0.00000000046, 0.14008732870, 8662.24032356300 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_VENUS[] = -{ +constexpr array g_VSOP87_H3_VENUS +{ { { 0.00000003281, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_VENUS[] = -{ +constexpr array g_VSOP87_H4_VENUS +{ { { 0.00000000614, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_VENUS[] = -{ +constexpr array g_VSOP87_H5_VENUS +{ { { 0.00000000017, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_VENUS[] = -{ +constexpr array g_VSOP87_Q0_VENUS +{ { { 0.00682410142, 0.00000000000, 0.00000000000 }, { 0.00000068669, 4.17788909303, 775.52261132400 }, { 0.00000038043, 0.08593496588, 1059.38193018920 }, @@ -2808,10 +2818,10 @@ const VSOP87Coefficient g_VSOP87_Q0_VENUS[] = { 0.00000000043, 0.37119553579, 68050.42387851159 }, { 0.00000000040, 0.09087085230, 6770.71060124560 }, { 0.00000000043, 5.35234008369, 28313.28880466100 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_VENUS[] = -{ +constexpr array g_VSOP87_Q1_VENUS +{ { { 0.00138133826, 0.00000000000, 0.00000000000 }, { 0.00000006004, 5.68914736726, 775.52261132400 }, { 0.00000003214, 1.30088159339, 1059.38193018920 }, @@ -2864,10 +2874,10 @@ const VSOP87Coefficient g_VSOP87_Q1_VENUS[] = { 0.00000000048, 2.50540091263, 44007.82926973960 }, { 0.00000000044, 2.94064992792, 22003.91463486980 }, { 0.00000000037, 1.36554646187, 31441.67756975680 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_VENUS[] = -{ +constexpr array g_VSOP87_Q2_VENUS +{ { { 0.00001090942, 3.14159265359, 0.00000000000 }, { 0.00000000223, 1.02858748170, 775.52261132400 }, { 0.00000000167, 2.98104573330, 3930.20969621960 }, @@ -2878,25 +2888,25 @@ const VSOP87Coefficient g_VSOP87_Q2_VENUS[] = { 0.00000000043, 2.23755424860, 26.29831979980 }, { 0.00000000053, 2.21417479830, 529.69096509460 }, { 0.00000000042, 3.52522950509, 3154.68708489560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_VENUS[] = -{ +constexpr array g_VSOP87_Q3_VENUS +{ { { 0.00000186418, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q4_VENUS[] = -{ +constexpr array g_VSOP87_Q4_VENUS +{ { { 0.00000000602, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q5_VENUS[] = -{ +constexpr array g_VSOP87_Q5_VENUS +{ { { 0.00000000075, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_VENUS[] = -{ +constexpr array g_VSOP87_P0_VENUS +{ { { 0.02882285775, 0.00000000000, 0.00000000000 }, { 0.00000071320, 2.62014485879, 775.52261132400 }, { 0.00000037630, 4.80305842460, 1059.38193018920 }, @@ -3052,10 +3062,10 @@ const VSOP87Coefficient g_VSOP87_P0_VENUS[] = { 0.00000000038, 4.37098795582, 1581.95934828300 }, { 0.00000000041, 4.99767352460, 46386.99374331120 }, { 0.00000000050, 4.43864904072, 316.39186965660 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_VENUS[] = -{ +constexpr array g_VSOP87_P1_VENUS +{ { { 0.00040384791, 3.14159265359, 0.00000000000 }, { 0.00000006353, 4.16194991617, 775.52261132400 }, { 0.00000003895, 2.98553634266, 3930.20969621960 }, @@ -3112,10 +3122,10 @@ const VSOP87Coefficient g_VSOP87_P1_VENUS[] = { 0.00000000047, 4.16229296574, 3128.38876509580 }, { 0.00000000044, 1.23848408809, 22805.73556599360 }, { 0.00000000049, 3.19162512474, 39302.09696219600 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_VENUS[] = -{ +constexpr array g_VSOP87_P2_VENUS +{ { { 0.00006232891, 3.14159265359, 0.00000000000 }, { 0.00000000287, 5.82597885387, 775.52261132400 }, { 0.00000000160, 1.16342113482, 1059.38193018920 }, @@ -3124,108 +3134,107 @@ const VSOP87Coefficient g_VSOP87_P2_VENUS[] = { 0.00000000048, 0.00441648853, 1577.34354244780 }, { 0.00000000045, 3.76783130715, 26.29831979980 }, { 0.00000000040, 2.35649429882, 8635.94200376320 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_VENUS[] = -{ +constexpr array g_VSOP87_P3_VENUS +{ { { 0.00000024731, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P4_VENUS[] = -{ +constexpr array g_VSOP87_P4_VENUS +{ { { 0.00000004229, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P5_VENUS[] = -{ +constexpr array g_VSOP87_P5_VENUS +{ { { 0.00000000006, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_VENUS[] = -{ - { g_VSOP87_A0_VENUS, sizeof(g_VSOP87_A0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_VENUS, sizeof(g_VSOP87_A1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_VENUS, sizeof(g_VSOP87_A2_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_VENUS +{ { + { g_VSOP87_A0_VENUS.data(), g_VSOP87_A0_VENUS.size() }, + { g_VSOP87_A1_VENUS.data(), g_VSOP87_A1_VENUS.size() }, + { g_VSOP87_A2_VENUS.data(), g_VSOP87_A2_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_VENUS[] = -{ - { g_VSOP87_L0_VENUS, sizeof(g_VSOP87_L0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_VENUS, sizeof(g_VSOP87_L1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_VENUS, sizeof(g_VSOP87_L2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_VENUS, sizeof(g_VSOP87_L3_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_VENUS +{ { + { g_VSOP87_L0_VENUS.data(), g_VSOP87_L0_VENUS.size() }, + { g_VSOP87_L1_VENUS.data(), g_VSOP87_L1_VENUS.size() }, + { g_VSOP87_L2_VENUS.data(), g_VSOP87_L2_VENUS.size() }, + { g_VSOP87_L3_VENUS.data(), g_VSOP87_L3_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_VENUS[] = -{ - { g_VSOP87_K0_VENUS, sizeof(g_VSOP87_K0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_VENUS, sizeof(g_VSOP87_K1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_VENUS, sizeof(g_VSOP87_K2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_VENUS, sizeof(g_VSOP87_K3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_VENUS, sizeof(g_VSOP87_K4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_VENUS, sizeof(g_VSOP87_K5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_VENUS +{ { + { g_VSOP87_K0_VENUS.data(), g_VSOP87_K0_VENUS.size() }, + { g_VSOP87_K1_VENUS.data(), g_VSOP87_K1_VENUS.size() }, + { g_VSOP87_K2_VENUS.data(), g_VSOP87_K2_VENUS.size() }, + { g_VSOP87_K3_VENUS.data(), g_VSOP87_K3_VENUS.size() }, + { g_VSOP87_K4_VENUS.data(), g_VSOP87_K4_VENUS.size() }, + { g_VSOP87_K5_VENUS.data(), g_VSOP87_K5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_VENUS[] = -{ - { g_VSOP87_H0_VENUS, sizeof(g_VSOP87_H0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_VENUS, sizeof(g_VSOP87_H1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_VENUS, sizeof(g_VSOP87_H2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_VENUS, sizeof(g_VSOP87_H3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_VENUS, sizeof(g_VSOP87_H4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_VENUS, sizeof(g_VSOP87_H5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_VENUS +{ { + { g_VSOP87_H0_VENUS.data(), g_VSOP87_H0_VENUS.size() }, + { g_VSOP87_H1_VENUS.data(), g_VSOP87_H1_VENUS.size() }, + { g_VSOP87_H2_VENUS.data(), g_VSOP87_H2_VENUS.size() }, + { g_VSOP87_H3_VENUS.data(), g_VSOP87_H3_VENUS.size() }, + { g_VSOP87_H4_VENUS.data(), g_VSOP87_H4_VENUS.size() }, + { g_VSOP87_H5_VENUS.data(), g_VSOP87_H5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_VENUS[] = -{ - { g_VSOP87_Q0_VENUS, sizeof(g_VSOP87_Q0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_VENUS, sizeof(g_VSOP87_Q1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_VENUS, sizeof(g_VSOP87_Q2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_VENUS, sizeof(g_VSOP87_Q3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q4_VENUS, sizeof(g_VSOP87_Q4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q5_VENUS, sizeof(g_VSOP87_Q5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_VENUS +{ { + { g_VSOP87_Q0_VENUS.data(), g_VSOP87_Q0_VENUS.size() }, + { g_VSOP87_Q1_VENUS.data(), g_VSOP87_Q1_VENUS.size() }, + { g_VSOP87_Q2_VENUS.data(), g_VSOP87_Q2_VENUS.size() }, + { g_VSOP87_Q3_VENUS.data(), g_VSOP87_Q3_VENUS.size() }, + { g_VSOP87_Q4_VENUS.data(), g_VSOP87_Q4_VENUS.size() }, + { g_VSOP87_Q5_VENUS.data(), g_VSOP87_Q5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_VENUS[] = -{ - { g_VSOP87_P0_VENUS, sizeof(g_VSOP87_P0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_VENUS, sizeof(g_VSOP87_P1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_VENUS, sizeof(g_VSOP87_P2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_VENUS, sizeof(g_VSOP87_P3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P4_VENUS, sizeof(g_VSOP87_P4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P5_VENUS, sizeof(g_VSOP87_P5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_VENUS +{ { + { g_VSOP87_P0_VENUS.data(), g_VSOP87_P0_VENUS.size() }, + { g_VSOP87_P1_VENUS.data(), g_VSOP87_P1_VENUS.size() }, + { g_VSOP87_P2_VENUS.data(), g_VSOP87_P2_VENUS.size() }, + { g_VSOP87_P3_VENUS.data(), g_VSOP87_P3_VENUS.size() }, + { g_VSOP87_P4_VENUS.data(), g_VSOP87_P4_VENUS.size() }, + { g_VSOP87_P5_VENUS.data(), g_VSOP87_P5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Venus::A(double JD) +double CAAVSOP87_Venus::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_VENUS, sizeof(g_VSOP87_A_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_VENUS.data(), g_VSOP87_A_VENUS.size(), false); } -double CAAVSOP87_Venus::L(double JD) +double CAAVSOP87_Venus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_VENUS, sizeof(g_VSOP87_L_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_VENUS.data(), g_VSOP87_L_VENUS.size(), true); } -double CAAVSOP87_Venus::K(double JD) +double CAAVSOP87_Venus::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_VENUS, sizeof(g_VSOP87_K_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_VENUS.data(), g_VSOP87_K_VENUS.size(), false); } -double CAAVSOP87_Venus::H(double JD) +double CAAVSOP87_Venus::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_VENUS, sizeof(g_VSOP87_H_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_VENUS.data(), g_VSOP87_H_VENUS.size(), false); } -double CAAVSOP87_Venus::Q(double JD) +double CAAVSOP87_Venus::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_VENUS, sizeof(g_VSOP87_Q_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_VENUS.data(), g_VSOP87_Q_VENUS.size(), false); } -double CAAVSOP87_Venus::P(double JD) +double CAAVSOP87_Venus::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_VENUS, sizeof(g_VSOP87_P_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_VENUS.data(), g_VSOP87_P_VENUS.size(), false); } - diff --git a/Sources/AAPlus/AAVenus.cpp b/Sources/AAPlus/AAVenus.cpp new file mode 100644 index 0000000..b21d48a --- /dev/null +++ b/Sources/AAPlus/AAVenus.cpp @@ -0,0 +1,360 @@ +/* +Module : AAVenus.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Venus +Created: PJN / 29-12-2003 +History: PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the third coefficient used to calculate + the B0 term for the ecliptic latitude of Venus. Thanks to Isaac Clark for + reporting this issue. Spot tests indicate that this change only affected the + ecliptic latitude in the sixth decimal place. + 3. Updated copyright details + PJN / 16-09-2015 1. CAAVenus::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAVenus.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + PJN / 01-06-2020 1. Optimized the code in CAAVenus::EclipticLongitude. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////////// Includes ///////////////////////////////////////////////// + +#include "stdafx.h" +#include "AAVenus.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_VEN.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +//////////////////////////////// Macros / Defines ///////////////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26481 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0VenusCoefficients +{ { + { 317614667, 0, 0 }, + { 1353968, 5.5931332, 10213.2855462 }, + { 89892, 5.30650, 20426.57109 }, + { 5477, 4.4163, 7860.4194 }, + { 3456, 2.6996, 11790.6291 }, + { 2372, 2.9938, 3930.2097 }, + { 1664, 4.2502, 1577.3435 }, + { 1438, 4.1575, 9683.5946 }, + { 1317, 5.1867, 26.2983 }, + { 1201, 6.1536, 30639.8566 }, + { 769, 0.816, 9437.763 }, + { 761, 1.950, 529.691 }, + { 708, 1.065, 775.523 }, + { 585, 3.998, 191.448 }, + { 500, 4.123, 15720.839 }, + { 429, 3.586, 19367.189 }, + { 327, 5.677, 5507.553 }, + { 326, 4.591, 10404.734 }, + { 232, 3.163, 9153.904 }, + { 180, 4.653, 1109.379 }, + { 155, 5.570, 19651.048 }, + { 128, 4.226, 20.775 }, + { 128, 0.962, 5661.332 }, + { 106, 1.537, 801.821 } +} }; + +constexpr array g_L1VenusCoefficients +{ { + { 1021352943053.0, 0, 0 }, + { 95708, 2.46424, 10213.28555 }, + { 14445, 0.51625, 20426.57109 }, + { 213, 1.795, 30639.857 }, + { 174, 2.655, 26.298 }, + { 152, 6.106, 1577.344 }, + { 82, 5.70, 191.45 }, + { 70, 2.68, 9437.76 }, + { 52, 3.60, 775.52 }, + { 38, 1.03, 529.69 }, + { 30, 1.25, 5507.55 }, + { 25, 6.11, 10404.73 } +} }; + +constexpr array g_L2VenusCoefficients +{ { + { 54127, 0, 0 }, + { 3891, 0.3451, 10213.2855 }, + { 1338, 2.0201, 20426.5711 }, + { 24, 2.05, 26.30 }, + { 19, 3.54, 30639.86 }, + { 10, 3.97, 775.52 }, + { 7, 1.52, 1577.34 }, + { 6, 1.00, 191.45 } +} }; + +constexpr array g_L3VenusCoefficients +{ { + { 136, 4.804, 10213.286 }, + { 78, 3.67, 20426.57 }, + { 26, 0, 0 } +} }; + +constexpr array g_L4VenusCoefficients +{ { + { 114, 3.1416, 0 }, + { 3, 5.21, 20426.57 }, + { 2, 2.51, 10213.29 } +} }; + +constexpr array g_L5VenusCoefficients +{ { + { 1, 3.14, 0 } +} }; + +constexpr array g_B0VenusCoefficients +{ { + { 5923638, 0.2670278, 10213.2855462 }, + { 40108, 1.14737, 20426.57109 }, + { 32815, 3.14159, 0 }, + { 1011, 1.0895, 30639.8566 }, + { 149, 6.254, 18073.705 }, + { 138, 0.860, 1577.344 }, + { 130, 3.672, 9437.763 }, + { 120, 3.705, 2352.866 }, + { 108, 4.539, 22003.915 } +} }; + +constexpr array g_B1VenusCoefficients +{ { + { 513348, 1.803643, 10213.285546 }, + { 4380, 3.3862, 20426.5711 }, + { 199, 0, 0 }, + { 197, 2.530, 30639.857 } +} }; + +constexpr array g_B2VenusCoefficients +{ { + { 22378, 3.38509, 10213.28555 }, + { 282, 0, 0 }, + { 173, 5.256, 20426.571 }, + { 27, 3.87, 30639.86 } +} }; + +constexpr array g_B3VenusCoefficients +{ { + { 647, 4.992, 10213.286 }, + { 20, 3.14, 0 }, + { 6, 0.77, 20426.57 }, + { 3, 5.44, 30639.86 } +} }; + +constexpr array g_B4VenusCoefficients +{ { + { 14, 0.32, 10213.29 } +} }; + +constexpr array g_R0VenusCoefficients +{ { + { 72334821, 0, 0 }, + { 489824, 4.021518, 10213.285546 }, + { 1658, 4.9021, 20426.5711 }, + { 1632, 2.8455, 7860.4194 }, + { 1378, 1.1285, 11790.6291 }, + { 498, 2.587, 9683.595 }, + { 374, 1.423, 3930.210 }, + { 264, 5.529, 9437.763 }, + { 237, 2.551, 15720.839 }, + { 222, 2.013, 19367.189 }, + { 126, 2.728, 1577.344 }, + { 119, 3.020, 10404.734 } +} }; + +constexpr array g_R1VenusCoefficients +{ { + { 34551, 0.89199, 10213.28555 }, + { 234, 1.772, 20426.571 }, + { 234, 3.142, 0 } +} }; + +constexpr array g_R2VenusCoefficients +{ { + { 1407, 5.0637, 10213.2855 }, + { 16, 5.47, 20426.57 }, + { 13, 0, 0 } +} }; + +constexpr array g_R3VenusCoefficients +{ { + { 50, 3.22, 10213.29 } +} }; + +constexpr array g_R4VenusCoefficients +{ { + { 1, 0.92, 10213.29 } +} }; + + +//////////////////////////////// Implementation /////////////////////////////////////////// + +double CAAVenus::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Venus::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0VenusCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1VenusCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2VenusCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3VenusCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4VenusCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5VenusCoefficients) + L5 += (L5Coefficient.A * cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAVenus::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Venus::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0VenusCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1VenusCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2VenusCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3VenusCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4VenusCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + B1*rho + B2*rhosquared + B3*rhocubed + B4*rho4) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAVenus::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Venus::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0VenusCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1VenusCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2VenusCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3VenusCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4VenusCoefficients) + R4 += (R4Coefficient.A * cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + return (R0 + R1*rho + R2*rhosquared + R3*rhocubed + R4*rho4) / 100000000; +} diff --git a/Vendor/AA+/1.6.3/CMakeLists.txt b/Sources/AAPlus/CMakeLists.txt old mode 100755 new mode 100644 similarity index 88% rename from Vendor/AA+/1.6.3/CMakeLists.txt rename to Sources/AAPlus/CMakeLists.txt index c63e2bc..7dd9f06 --- a/Vendor/AA+/1.6.3/CMakeLists.txt +++ b/Sources/AAPlus/CMakeLists.txt @@ -1,74 +1,87 @@ -PROJECT (AstronomicalAlgorithms) - -cmake_minimum_required(VERSION 2.6) - -#----------------------------------------------------------------------------- -# Output directories. -SET(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}/bin CACHE PATH - "Single output directory for building all executables.") -SET(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}/lib CACHE PATH - "Single output directory for building all libraries.") - - -#----------------------------------------------------------------------------- -SET ( SRCS_LIB - AAAberration.cpp - AAAngularSeparation.cpp - AABinaryStar.cpp - AACoordinateTransformation.cpp - AADate.cpp - AADiameters.cpp - AADynamicalTime.cpp - AAEarth.cpp - AAEaster.cpp - AAEclipses.cpp - AAEclipticalElements.cpp - AAElementsPlanetaryOrbit.cpp - AAElliptical.cpp - AAEquationOfTime.cpp - AAEquinoxesAndSolstices.cpp - AAFK5.cpp - AAGalileanMoons.cpp - AAGlobe.cpp - AAIlluminatedFraction.cpp - AAInterpolate.cpp - AAJewishCalendar.cpp - AAJupiter.cpp - AAKepler.cpp - AAMars.cpp - AAMercury.cpp - AAMoon.cpp - AAMoonIlluminatedFraction.cpp - AAMoonMaxDeclinations.cpp - AAMoonNodes.cpp - AAMoonPerigeeApogee.cpp - AAMoonPhases.cpp - AAMoslemCalendar.cpp - AANearParabolic.cpp - AANeptune.cpp - AANodes.cpp - AANutation.cpp - AAParabolic.cpp - AAParallactic.cpp - AAParallax.cpp - AAPhysicalJupiter.cpp - AAPhysicalMars.cpp - AAPhysicalMoon.cpp - AAPhysicalSun.cpp - AAPlanetPerihelionAphelion.cpp - AAPlanetaryPhenomena.cpp - AAPluto.cpp - AAPrecession.cpp - AARefraction.cpp - AARiseTransitSet.cpp - AASaturn.cpp - AASaturnMoons.cpp - AASaturnRings.cpp - AASidereal.cpp - AAStellarMagnitudes.cpp - AASun.cpp - AAUranus.cpp - AAVenus.cpp +PROJECT (AstronomicalAlgorithms) + +cmake_minimum_required(VERSION 3.8) + +SET(CMAKE_CXX_STANDARD 17) +SET(CMAKE_CXX_STANDARD_REQUIRED ON) + +#----------------------------------------------------------------------------- +# Output directories. +SET(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}/bin CACHE PATH + "Single output directory for building all executables.") +SET(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}/lib CACHE PATH + "Single output directory for building all libraries.") + + +#----------------------------------------------------------------------------- +SET ( SRCS_LIB + AAAberration.cpp + AAAngularSeparation.cpp + AABinaryStar.cpp + AACoordinateTransformation.cpp + AADate.cpp + AADiameters.cpp + AADynamicalTime.cpp + AAEarth.cpp + AAEclipses.cpp + AAEclipticalElements.cpp + AAElementsPlanetaryOrbit.cpp + AAElliptical.cpp + AAELP2000.cpp + AAELPMPP02.cpp + AAEquationOfTime.cpp + AAEquinoxesAndSolstices.cpp + AAEquinoxesAndSolstices2.cpp + AAFK5.cpp + AAGalileanMoons.cpp + AAGlobe.cpp + AAIlluminatedFraction.cpp + AAInterpolate.cpp + AAJewishCalendar.cpp + AAJupiter.cpp + AAKepler.cpp + AAMars.cpp + AAMercury.cpp + AAMoon.cpp + AAMoonIlluminatedFraction.cpp + AAMoonMaxDeclinations.cpp + AAMoonMaxDeclinations2.cpp + AAMoonNodes.cpp + AAMoonNodes2.cpp + AAMoonPerigeeApogee.cpp + AAMoonPerigeeApogee2.cpp + AAMoonPhases.cpp + AAMoonPhases2.cpp + AAMoslemCalendar.cpp + AANearParabolic.cpp + AANeptune.cpp + AANodes.cpp + AANutation.cpp + AAParabolic.cpp + AAParallactic.cpp + AAParallax.cpp + AAPhysicalJupiter.cpp + AAPhysicalMars.cpp + AAPhysicalMoon.cpp + AAPhysicalSun.cpp + AAPlanetPerihelionAphelion.cpp + AAPlanetPerihelionAphelion2.cpp + AAPlanetaryPhenomena.cpp + AAPlanetaryPhenomena2.cpp + AAPluto.cpp + AAPrecession.cpp + AARefraction.cpp + AARiseTransitSet.cpp + AARiseTransitSet2.cpp + AASaturn.cpp + AASaturnMoons.cpp + AASaturnRings.cpp + AASidereal.cpp + AAStellarMagnitudes.cpp + AASun.cpp + AAUranus.cpp + AAVenus.cpp + AAVSOP2013.cpp AAVSOP87.cpp AAVSOP87A_EAR.cpp AAVSOP87A_EMB.cpp @@ -120,70 +133,74 @@ SET ( SRCS_LIB AAVSOP87_SAT.cpp AAVSOP87_URA.cpp AAVSOP87_VEN.cpp - stdafx.cpp -) - -#----------------------------------------------------------------------------- -SET ( INCS -# AA+.h - AA2DCoordinate.h - AA3DCoordinate.h - AAAberration.h - AAAngularSeparation.h - AABinaryStar.h - AACoordinateTransformation.h - AADate.h - AADiameters.h - AADynamicalTime.h - AAEarth.h - AAEaster.h - AAEclipses.h - AAEclipticalElements.h - AAElementsPlanetaryOrbit.h - AAElliptical.h - AAEquationOfTime.h - AAEquinoxesAndSolstices.h - AAFK5.h - AAGalileanMoons.h - AAGlobe.h - AAIlluminatedFraction.h - AAInterpolate.h - AAJewishCalendar.h - AAJupiter.h - AAKepler.h - AAMars.h - AAMercury.h - AAMoon.h - AAMoonIlluminatedFraction.h - AAMoonMaxDeclinations.h - AAMoonNodes.h - AAMoonPerigeeApogee.h - AAMoonPhases.h - AAMoslemCalendar.h - AANeptune.h - AANodes.h - AANutation.h - AAParabolic.h - AAParallactic.h - AAParallax.h - AAPhysicalJupiter.h - AAPhysicalMars.h - AAPhysicalMoon.h - AAPhysicalSun.h - AAPlanetPerihelionAphelion.h - AAPlanetaryPhenomena.h - AAPluto.h - AAPrecession.h - AARefraction.h - AARiseTransitSet.h - AASaturn.h - AASaturnMoons.h - AASaturnRings.h - AASidereal.h - AAStellarMagnitudes.h - AASun.h - AAUranus.h - AAVenus.h + stdafx.cpp +) + +#----------------------------------------------------------------------------- +SET ( INCS +# AA+.h + AA2DCoordinate.h + AA3DCoordinate.h + AAAberration.h + AAAngularSeparation.h + AABinaryStar.h + AACoordinateTransformation.h + AADate.h + AADefines.h + AADiameters.h + AADynamicalTime.h + AAEarth.h + AAEaster.h + AAEclipses.h + AAEclipticalElements.h + AAElementsPlanetaryOrbit.h + AAElliptical.h + AAEquationOfTime.h + AAEquinoxesAndSolstices.h + AAFK5.h + AAGalileanMoons.h + AAGlobe.h + AAIlluminatedFraction.h + AAInterpolate.h + AAJewishCalendar.h + AAJupiter.h + AAKepler.h + AAMars.h + AAMercury.h + AAMoon.h + AAMoonIlluminatedFraction.h + AAMoonMaxDeclinations.h + AAMoonNodes.h + AAMoonPerigeeApogee.h + AAMoonPhases.h + AAMoslemCalendar.h + AANeptune.h + AANodes.h + AANutation.h + AAParabolic.h + AAParallactic.h + AAParallax.h + AAPhysicalJupiter.h + AAPhysicalMars.h + AAPhysicalMoon.h + AAPhysicalSun.h + AAPlanetPerihelionAphelion.h + AAPlanetPerihelionAphelion2.h + AAPlanetaryPhenomena.h + AAPlanetaryPhenomena2.h + AAPluto.h + AAPrecession.h + AARefraction.h + AARiseTransitSet.h + AASaturn.h + AASaturnMoons.h + AASaturnRings.h + AASidereal.h + AAStellarMagnitudes.h + AASun.h + AAUranus.h + AAVenus.h + AAVSOP2013.h AAVSOP87.h AAVSOP87A_EAR.h AAVSOP87A_EMB.h @@ -235,28 +252,28 @@ SET ( INCS AAVSOP87_SAT.h AAVSOP87_URA.h AAVSOP87_VEN.h - stdafx.h -) - -SET ( SRCS - AATest.cpp -) - -#----------------------------------------------------------------------------- -# Executables. -#----------------------------------------------------------------------------- -ADD_EXECUTABLE(AATest ${SRCS} ) - -#----------------------------------------------------------------------------- -# Libraries. -ADD_LIBRARY(aaplus-static STATIC ${SRCS_LIB} ${INCS}) -SET_TARGET_PROPERTIES(aaplus-static PROPERTIES OUTPUT_NAME "aaplus") - -ADD_LIBRARY(aaplus-shared SHARED ${SRCS_LIB} ${INCS}) -SET_TARGET_PROPERTIES(aaplus-shared PROPERTIES OUTPUT_NAME "aaplus") - -install(TARGETS aaplus-shared aaplus-static - DESTINATION "${CMAKE_INSTALL_PREFIX}/lib" ) - -TARGET_LINK_LIBRARIES(AATest aaplus-static) - + stdafx.h +) + +SET ( SRCS + AATest.cpp +) + +#----------------------------------------------------------------------------- +# Executables. +#----------------------------------------------------------------------------- +ADD_EXECUTABLE(AATest ${SRCS} ) + +#----------------------------------------------------------------------------- +# Libraries. +ADD_LIBRARY(aaplus-static STATIC ${SRCS_LIB} ${INCS}) +SET_TARGET_PROPERTIES(aaplus-static PROPERTIES OUTPUT_NAME "aaplus") + +ADD_LIBRARY(aaplus-shared SHARED ${SRCS_LIB} ${INCS}) +SET_TARGET_PROPERTIES(aaplus-shared PROPERTIES OUTPUT_NAME "aaplus") + +install(TARGETS aaplus-shared aaplus-static + DESTINATION "${CMAKE_INSTALL_PREFIX}/lib" ) + +TARGET_LINK_LIBRARIES(AATest aaplus-static) + diff --git a/Vendor/AA+/1.6.3/AA+.h b/Sources/AAPlus/include/AA.h old mode 100755 new mode 100644 similarity index 81% rename from Vendor/AA+/1.6.3/AA+.h rename to Sources/AAPlus/include/AA.h index af76419..84121fb --- a/Vendor/AA+/1.6.3/AA+.h +++ b/Sources/AAPlus/include/AA.h @@ -1,9 +1,9 @@ /* -Module : AA+.H +Module : AA+.h Purpose: Main include file for AA+ framework Created: PJN / 30-1-2005 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -13,7 +13,7 @@ You are allowed to include the source code in any product (commercial, shareware when your product is released in binary form. You are allowed to modify the source code in any way you want except you cannot modify the copyright details at the top of each module. If you want to distribute source code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +to maintain a single distribution point for the source code. */ @@ -49,8 +49,15 @@ to maintain a single distribution point for the source code. #include "AAEclipticalElements.h" #include "AAElementsPlanetaryOrbit.h" #include "AAElliptical.h" +#ifndef AAPLUS_NO_ELP2000 +#include "AAELP2000.h" +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 +#include "AAELPMPP02.h" +#endif //#ifndef AAPLUS_NO_ELPMPP02 #include "AAEquationOfTime.h" #include "AAEquinoxesAndSolstices.h" +#include "AAEquinoxesAndSolstices2.h" #include "AAFK5.h" #include "AAGalileanMoons.h" #include "AAGlobe.h" @@ -64,9 +71,13 @@ to maintain a single distribution point for the source code. #include "AAMoon.h" #include "AAMoonIlluminatedFraction.h" #include "AAMoonMaxDeclinations.h" +#include "AAMoonMaxDeclinations2.h" #include "AAMoonNodes.h" +#include "AAMoonNodes2.h" #include "AAMoonPerigeeApogee.h" +#include "AAMoonPerigeeApogee2.h" #include "AAMoonPhases.h" +#include "AAMoonPhases2.h" #include "AAMoslemCalendar.h" #include "AANearParabolic.h" #include "AANeptune.h" @@ -80,11 +91,14 @@ to maintain a single distribution point for the source code. #include "AAPhysicalMoon.h" #include "AAPhysicalSun.h" #include "AAPlanetaryPhenomena.h" +#include "AAPlanetaryPhenomena2.h" #include "AAPlanetPerihelionAphelion.h" +#include "AAPlanetPerihelionAphelion2.h" #include "AAPluto.h" #include "AAPrecession.h" #include "AARefraction.h" #include "AARiseTransitSet.h" +#include "AARiseTransitSet2.h" #include "AASaturn.h" #include "AASaturnMoons.h" #include "AASaturnRings.h" @@ -93,7 +107,10 @@ to maintain a single distribution point for the source code. #include "AASun.h" #include "AAUranus.h" #include "AAVenus.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION +#ifndef AAPLUS_NO_VSOP2013 +#include "AAVSOP2013.h" +#endif //#ifndef AAPLUS_NO_VSOP2013 +#ifndef AAPLUS_NO_VSOP87 #include "AAVSOP87.h" #include "AAVSOP87_EMB.h" #include "AAVSOP87_JUP.h" @@ -145,6 +162,6 @@ to maintain a single distribution point for the source code. #include "AAVSOP87E_SUN.h" #include "AAVSOP87E_URA.h" #include "AAVSOP87E_VEN.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION +#endif //#ifndef AAPLUS_NO_VSOP87 #endif //#ifndef __AAPLUS_H__ diff --git a/Vendor/AA+/1.6.3/AA2DCoordinate.h b/Sources/AAPlus/include/AA2DCoordinate.h old mode 100755 new mode 100644 similarity index 81% rename from Vendor/AA+/1.6.3/AA2DCoordinate.h rename to Sources/AAPlus/include/AA2DCoordinate.h index 944e8a4..32592b4 --- a/Vendor/AA+/1.6.3/AA2DCoordinate.h +++ b/Sources/AAPlus/include/AA2DCoordinate.h @@ -1,9 +1,9 @@ /* -Module : AA2DCOORDINATE.H +Module : AA2DCoordinate.h Purpose: Implementation for the simple class to encapsulate a two dimensional coordinate Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,15 +37,9 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAA2DCoordinate { public: -//Constructors / Destructors - CAA2DCoordinate(): X(0), - Y(0) - { - }; - //Member variables - double X; - double Y; + double X = 0; + double Y = 0; }; diff --git a/Vendor/AA+/1.6.3/AA3DCoordinate.h b/Sources/AAPlus/include/AA3DCoordinate.h old mode 100755 new mode 100644 similarity index 78% rename from Vendor/AA+/1.6.3/AA3DCoordinate.h rename to Sources/AAPlus/include/AA3DCoordinate.h index 50081b6..d390ea9 --- a/Vendor/AA+/1.6.3/AA3DCoordinate.h +++ b/Sources/AAPlus/include/AA3DCoordinate.h @@ -1,9 +1,9 @@ /* -Module : AA3DCOORDINATE.H +Module : AA3DCoordinate.h Purpose: Implementation for the simple class to encapsulate a three dimensional coordinate Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,17 +37,10 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAA3DCoordinate { public: -//Constructors / Destructors - CAA3DCoordinate() : X(0), - Y(0), - Z(0) - { - }; - -//member variables - double X; - double Y; - double Z; +//Member variables + double X = 0; + double Y = 0; + double Z = 0; }; diff --git a/Sources/AAPlus/include/AAAberration.cpp b/Sources/AAPlus/include/AAAberration.cpp new file mode 100644 index 0000000..340b0b6 --- /dev/null +++ b/Sources/AAPlus/include/AAAberration.cpp @@ -0,0 +1,221 @@ +/* +Module : AAAberration.cpp +Purpose: Implementation for the algorithms for Aberration +Created: PJN / 29-12-2003 +History: PJN / 21-04-2005 1. Renamed "AAAberation.cpp" to "AAAberration.cpp" so that all source code filenames + match their corresponding header files. Thanks to Jürgen Schuck for suggesting this + update. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 16-09-2015 1. CAAAberration::EclipticAberration, EarthVelocity and EquatorialAberration now + include a "bool bHighPrecision" parameter which if set to true means the code uses + the full VSOP87 theory rather than the truncated theory as presented in Meeus's + book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 14-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////// Includes ////////////////////////////////////// + +#include "stdafx.h" +#include "AAAberration.h" +#include "AACoordinateTransformation.h" +#include "AAEarth.h" +#include "AASun.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87A_EAR.h" +#include "AAFK5.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +////////////////////////////// Macros / Defines /////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482) +#endif //#ifdef _MSC_VER + +struct AberrationCoefficient +{ + int L2; + int L3; + int L4; + int L5; + int L6; + int L7; + int L8; + int Ldash; + int D; + int Mdash; + int F; + int xsin; + int xsint; + int xcos; + int xcost; + int ysin; + int ysint; + int ycos; + int ycost; + int zsin; + int zsint; + int zcos; + int zcost; +}; + +constexpr array g_AberrationCoefficients +{ { + //L2 L3 L4 L5 L6 L7 L8 Ldash D Mdash F xsin xsint xcos xcost ysin ysint ycos ycost zsin zsint zcos zcost + { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1719914, -2, -25, 0, 25, -13, 1578089, 156, 10, 32, 684185, -358 }, + { 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6434, 141, 28007, -107, 25697, -95, -5904, -130, 11141, -48, -2559, -55 }, + { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 715, 0, 0, 0, 6, 0, -657, 0, -15, 0, -282, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 715, 0, 0, 0, 0, 0, -656, 0, 0, 0, -285, 0 }, + { 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 486, -5, -236, -4, -216, -4, -446, 5, -94, 0, -193, 0 }, + { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 159, 0, 0, 0, 2, 0, -147, 0, -6, 0, -61, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, -59, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 39, 0, 0, 0, 0, 0, -36, 0, 0, 0, -16, 0 }, + { 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 33, 0, -10, 0, -9, 0, -30, 0, -5, 0, -13, 0 }, + { 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 31, 0, 1, 0, 1, 0, -28, 0, 0, 0, -12, 0 }, + { 0, 3, -8, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, 25, 0, 8, 0, 11, 0, 3, 0 }, + { 0, 5, -8, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, -25, 0, -8, 0, -11, 0, -3, 0 }, + { 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, -19, 0, 0, 0, -8, 0 }, + { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 17, 0, 0, 0, 8, 0 }, + { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, -16, 0, 0, 0, -7, 0 }, + { 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 15, 0, 1, 0, 7, 0 }, + { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 16, 0, 0, 0, 1, 0, -15, 0, -3, 0, -6, 0 }, + { 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 11, 0, -1, 0, -1, 0, -10, 0, -1, 0, -5, 0 }, + { 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, -10, 0, 0, 0, -4, 0, 0, 0 }, + { 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -11, 0, -2, 0, -2, 0, 9, 0, -1, 0, 4, 0 }, + { 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -8, 0, -8, 0, 6, 0, -3, 0, 3, 0 }, + { 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 0 }, + { 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -9, 0, 0, 0, -4, 0 }, + { 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0 }, + { 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, -8, 0, 0, 0, -3, 0, 0, 0 }, + { 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 8, 0, 0, 0, 3, 0, 0, 0 }, + { 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -3, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 8, 0, 0, 0, 0, 0, -7, 0, 0, 0, -3, 0 }, + { 8, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -7, 0, -6, 0, 4, 0, -3, 0, 2, 0 }, + { 8, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -7, 0, 6, 0, -4, 0, 3, 0, -2, 0 }, + { 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -5, 0, -4, 0, 5, 0, -2, 0, 2, 0 }, + { 3, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -7, 0, 1, 0, -4, 0 }, + { 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, -5, 0, -4, 0, -2, 0, -2, 0 }, + { 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -6, 0, 0, 0, -3, 0, 0, 0 }, + { 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, -5, 0, -4, 0, -5, 0, -2, 0, -2, 0 }, + { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 5, 0, 0, 0, 0, 0, -5, 0, 0, 0, -2, 0 }, +} }; + + +//////////////////////////////// Implementation /////////////////////////////// + +CAA3DCoordinate CAAAberration::EarthVelocity(double JD, bool bHighPrecision) noexcept +{ + CAA3DCoordinate velocity; + +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + { + velocity.X = CAAVSOP87A_Earth::X_DASH(JD); + velocity.Y = CAAVSOP87A_Earth::Y_DASH(JD); + velocity.Z = CAAVSOP87A_Earth::Z_DASH(JD); + velocity = CAAFK5::ConvertVSOPToFK5J2000(velocity); + velocity.X *= 100000000; + velocity.Y *= 100000000; + velocity.Z *= 100000000; + return velocity; + } +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double T = (JD - 2451545) / 36525; + const double L2 = 3.1761467 + 1021.3285546 * T; + const double L3 = 1.7534703 + 628.3075849 * T; + const double L4 = 6.2034809 + 334.0612431 * T; + const double L5 = 0.5995465 + 52.9690965 * T; + const double L6 = 0.8740168 + 21.3299095 * T; + const double L7 = 5.4812939 + 7.4781599 * T; + const double L8 = 5.3118863 + 3.8133036 * T; + const double Ldash = 3.8103444 + 8399.6847337 * T; + const double D = 5.1984667 + 7771.3771486 * T; + const double Mdash = 2.3555559 + 8328.6914289 * T; + const double F = 1.6279052 + 8433.4661601 * T; + + for (const auto& coeff : g_AberrationCoefficients) + { + const double Argument = (coeff.L2*L2) + (coeff.L3*L3) + (coeff.L4*L4) + (coeff.L5*L5) + + (coeff.L6*L6) + (coeff.L7*L7) + (coeff.L8*L8) + (coeff.Ldash*Ldash) + + (coeff.D*D) + (coeff.Mdash*Mdash) + (coeff.F*F); + velocity.X += (coeff.xsin + coeff.xsint * T) * sin(Argument); + velocity.X += (coeff.xcos + coeff.xcost * T) * cos(Argument); + + velocity.Y += (coeff.ysin + coeff.ysint * T) * sin(Argument); + velocity.Y += (coeff.ycos + coeff.ycost * T) * cos(Argument); + + velocity.Z += (coeff.zsin + coeff.zsint * T) * sin(Argument); + velocity.Z += (coeff.zcos + coeff.zcost * T) * cos(Argument); + } + + return velocity; +} + +CAA2DCoordinate CAAAberration::EquatorialAberration(double Alpha, double Delta, double JD, bool bHighPrecision) noexcept +{ + //Convert to radians + Alpha = CAACoordinateTransformation::DegreesToRadians(Alpha*15); + Delta = CAACoordinateTransformation::DegreesToRadians(Delta); + + const double cosAlpha = cos(Alpha); + const double sinAlpha = sin(Alpha); + const double cosDelta = cos(Delta); + const double sinDelta = sin(Delta); + + const CAA3DCoordinate velocity = EarthVelocity(JD, bHighPrecision); + + //What is the return value + CAA2DCoordinate aberration; + + aberration.X = CAACoordinateTransformation::RadiansToHours((velocity.Y * cosAlpha - velocity.X * sinAlpha) / ( 17314463350.0 * cosDelta)); + aberration.Y = CAACoordinateTransformation::RadiansToDegrees(- (((velocity.X * cosAlpha + velocity.Y * sinAlpha) * sinDelta - velocity.Z * cosDelta) / 17314463350.0)); + + return aberration; +} + +CAA2DCoordinate CAAAberration::EclipticAberration(double Lambda, double Beta, double JD, bool bHighPrecision) noexcept +{ + //What is the return value + CAA2DCoordinate aberration; + + const double T = (JD - 2451545) / 36525; + const double Tsquared = T*T; + const double e = 0.016708634 - 0.000042037*T - 0.0000001267*Tsquared; + double pi = 102.93735 + 1.71946*T + 0.00046*Tsquared; + constexpr double k = 20.49552; + double SunLongitude = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); + + //Convert to radians + pi = CAACoordinateTransformation::DegreesToRadians(pi); + Lambda = CAACoordinateTransformation::DegreesToRadians(Lambda); + Beta = CAACoordinateTransformation::DegreesToRadians(Beta); + SunLongitude = CAACoordinateTransformation::DegreesToRadians(SunLongitude); + + aberration.X = (-k*cos(SunLongitude - Lambda) + e*k*cos(pi - Lambda)) / cos(Beta) / 3600; + aberration.Y = -k*sin(Beta)*(sin(SunLongitude - Lambda) - e*sin(pi - Lambda)) / 3600; + + return aberration; +} diff --git a/Vendor/AA+/1.6.3/AAAberration.h b/Sources/AAPlus/include/AAAberration.h old mode 100755 new mode 100644 similarity index 84% rename from Vendor/AA+/1.6.3/AAAberration.h rename to Sources/AAPlus/include/AAAberration.h index d4df807..c30aed9 --- a/Vendor/AA+/1.6.3/AAAberration.h +++ b/Sources/AAPlus/include/AAAberration.h @@ -1,9 +1,9 @@ /* -Module : AAABERRATION.H +Module : AAAberration.h Purpose: Implementation for the algorithms for Aberration Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -44,9 +44,9 @@ class AAPLUS_EXT_CLASS CAAAberration { public: //Static methods - static CAA3DCoordinate EarthVelocity(double JD, bool bHighPrecision); - static CAA2DCoordinate EclipticAberration(double Alpha, double Delta, double JD, bool bHighPrecision); - static CAA2DCoordinate EquatorialAberration(double Lambda, double Beta, double JD, bool bHighPrecision); + static CAA3DCoordinate EarthVelocity(double JD, bool bHighPrecision) noexcept; + static CAA2DCoordinate EclipticAberration(double Alpha, double Delta, double JD, bool bHighPrecision) noexcept; + static CAA2DCoordinate EquatorialAberration(double Lambda, double Beta, double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAAngularSeparation.h b/Sources/AAPlus/include/AAAngularSeparation.h old mode 100755 new mode 100644 similarity index 83% rename from Vendor/AA+/1.6.3/AAAngularSeparation.h rename to Sources/AAPlus/include/AAAngularSeparation.h index 251ac05..11d4d60 --- a/Vendor/AA+/1.6.3/AAAngularSeparation.h +++ b/Sources/AAPlus/include/AAAngularSeparation.h @@ -1,9 +1,9 @@ /* -Module : AAANGULARSEPARATION.H +Module : AAAngularSeparation.h Purpose: Implementation for the algorithms which obtain various separation distances between celestial objects Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,10 +38,10 @@ class AAPLUS_EXT_CLASS CAAAngularSeparation { public: //Static methods - static double Separation(double Alpha1, double Delta1, double Alpha2, double Delta2); - static double PositionAngle(double Alpha1, double Delta1, double Alpha2, double Delta2); - static double DistanceFromGreatArc(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3); - static double SmallestCircle(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, bool& bType1); + static double Separation(double Alpha1, double Delta1, double Alpha2, double Delta2) noexcept; + static double PositionAngle(double Alpha1, double Delta1, double Alpha2, double Delta2) noexcept; + static double DistanceFromGreatArc(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3) noexcept; + static double SmallestCircle(double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, bool& bType1) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AABinaryStar.h b/Sources/AAPlus/include/AABinaryStar.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AABinaryStar.h rename to Sources/AAPlus/include/AABinaryStar.h index 5ad081c..495c0e9 --- a/Vendor/AA+/1.6.3/AABinaryStar.h +++ b/Sources/AAPlus/include/AABinaryStar.h @@ -1,9 +1,9 @@ /* -Module : AABINARYSTAR.H -Purpose: Implementation for the algorithms for an binary stars system +Module : AABinaryStar.h +Purpose: Implementation for the algorithms for a binary star system Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,25 +37,20 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAABinaryStarDetails { public: -//Constructors / Destructors - CAABinaryStarDetails() : r(0), - Theta(0), - Rho(0) - { - }; - //Member variables - double r; - double Theta; - double Rho; + double r = 0; + double Theta = 0; + double Rho = 0; + double x = 0; + double y = 0; }; class AAPLUS_EXT_CLASS CAABinaryStar { public: //Static methods - static CAABinaryStarDetails Calculate(double t, double P, double T, double e, double a, double i, double omega, double w); - static double ApparentEccentricity(double e, double i, double w); + static CAABinaryStarDetails Calculate(double t, double P, double T, double e, double a, double i, double omega, double w) noexcept; + static double ApparentEccentricity(double e, double i, double w) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AACoordinateTransformation.h b/Sources/AAPlus/include/AACoordinateTransformation.h old mode 100755 new mode 100644 similarity index 67% rename from Vendor/AA+/1.6.3/AACoordinateTransformation.h rename to Sources/AAPlus/include/AACoordinateTransformation.h index 5903235..27e7290 --- a/Vendor/AA+/1.6.3/AACoordinateTransformation.h +++ b/Sources/AAPlus/include/AACoordinateTransformation.h @@ -1,9 +1,9 @@ /* -Module : AACOORDINATETRANSFORMATION.H +Module : AACoordinateTransformation.h Purpose: Implementation for the algorithms which convert between the various celestial coordinate systems Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -44,58 +44,61 @@ class AAPLUS_EXT_CLASS CAACoordinateTransformation { public: //Conversion functions - static CAA2DCoordinate Equatorial2Ecliptic(double Alpha, double Delta, double Epsilon); - static CAA2DCoordinate Ecliptic2Equatorial(double Lambda, double Beta, double Epsilon); - static CAA2DCoordinate Equatorial2Horizontal(double LocalHourAngle, double Delta, double Latitude); - static CAA2DCoordinate Horizontal2Equatorial(double A, double h, double Latitude); - static CAA2DCoordinate Equatorial2Galactic(double Alpha, double Delta); - static CAA2DCoordinate Galactic2Equatorial(double l, double b); + static CAA2DCoordinate Equatorial2Ecliptic(double Alpha, double Delta, double Epsilon) noexcept; + static CAA2DCoordinate Ecliptic2Equatorial(double Lambda, double Beta, double Epsilon) noexcept; + static CAA2DCoordinate Equatorial2Horizontal(double LocalHourAngle, double Delta, double Latitude) noexcept; + static CAA2DCoordinate Horizontal2Equatorial(double A, double h, double Latitude) noexcept; + static CAA2DCoordinate Equatorial2Galactic(double Alpha, double Delta) noexcept; + static CAA2DCoordinate Galactic2Equatorial(double l, double b) noexcept; //Inlined functions - static inline double DegreesToRadians(double Degrees) + constexpr static inline double DegreesToRadians(double Degrees) noexcept { return Degrees * 0.017453292519943295769236907684886; } - static inline double RadiansToDegrees(double Radians) + constexpr static inline double RadiansToDegrees(double Radians) noexcept { return Radians * 57.295779513082320876798154814105; } - static inline double RadiansToHours(double Radians) + constexpr static inline double RadiansToHours(double Radians) noexcept { return Radians * 3.8197186342054880584532103209403; } - static inline double HoursToRadians(double Hours) + constexpr static inline double HoursToRadians(double Hours) noexcept { return Hours * 0.26179938779914943653855361527329; } - static inline double HoursToDegrees(double Hours) + constexpr static inline double HoursToDegrees(double Hours) noexcept { return Hours * 15; } - static inline double DegreesToHours(double Degrees) + constexpr static inline double DegreesToHours(double Degrees) noexcept { return Degrees / 15; } - static inline double PI() + constexpr static inline double PI() noexcept { return 3.1415926535897932384626433832795; } - static inline double MapTo0To360Range(double Degrees) + static inline double MapTo0To360Range(double Degrees) noexcept { +#ifdef _MSC_VER + #pragma warning(suppress : 26447) +#endif //#ifdef _MSC_VER double fResult = fmod(Degrees, 360); if (fResult < 0) fResult += 360; return fResult; } - static inline double MapToMinus90To90Range(double Degrees) + static inline double MapToMinus90To90Range(double Degrees) noexcept { double fResult = MapTo0To360Range(Degrees); @@ -109,15 +112,18 @@ class AAPLUS_EXT_CLASS CAACoordinateTransformation return fResult; } - static inline double MapTo0To24Range(double HourAngle) + static inline double MapTo0To24Range(double HourAngle) noexcept { +#ifdef _MSC_VER + #pragma warning(suppress : 26447) +#endif //#ifdef _MSC_VER double fResult = fmod(HourAngle, 24); if (fResult < 0) fResult += 24; return fResult; } - static inline double MapTo0To2PIRange(double Angle) + static inline double MapTo0To2PIRange(double Angle) noexcept { double fResult = fmod(Angle, 2 * PI()); if (fResult < 0) @@ -125,7 +131,7 @@ class AAPLUS_EXT_CLASS CAACoordinateTransformation return fResult; } - static double DMSToDegrees(double Degrees, double Minutes, double Seconds, bool bPositive = true); + static double DMSToDegrees(double Degrees, double Minutes, double Seconds, bool bPositive = true) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AADate.cpp b/Sources/AAPlus/include/AADate.cpp old mode 100755 new mode 100644 similarity index 72% rename from Vendor/AA+/1.6.3/AADate.cpp rename to Sources/AAPlus/include/AADate.cpp index 4766e80..4670e02 --- a/Vendor/AA+/1.6.3/AADate.cpp +++ b/Sources/AAPlus/include/AADate.cpp @@ -1,5 +1,5 @@ /* -Module : AADATE.CPP +Module : AADate.cpp Purpose: Implementation for the algorithms which convert between the Gregorian and Julian calendars and the Julian Day Created: PJN / 29-12-2003 History: PJN / 10-11-2004 1. Fix for CAADate::Get so that it works correctly for propalactive calendar dates @@ -42,8 +42,13 @@ History: PJN / 10-11-2004 1. Fix for CAADate::Get so that it works correctly for PJN / 07-02-2009 1. Updated the static version of CAADate::DaysInMonth to compile cleanly using code analysis PJN / 29-03-2015 1. Fixed up some variable initializations around the use of modf. Thanks to Arnaud Cueille for reporting this issue. + PJN / 18-02-2017 1. Reworked the CAADate::SetInGregorianCalendar method to use the AfterPapalReform method. + PJN / 18-04-2020 1. Made a number of the CAADate methods [[nodiscard]] when compiled as C++ 17 + PJN / 29-04-2020 1. Fixed a compilation issue on GCC where size_t was undefined in various modules. Thanks to + Bert Devlieghe for reporting this bug. + PJN / 03-10-2021 1. enamed CAADate::DAY_OF_WEEK type to DOW. -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -64,42 +69,37 @@ to maintain a single distribution point for the source code. #include "AADate.h" #include #include +#include +#include using namespace std; //////////////////////////// Implementation /////////////////////////////////// -CAADate::CAADate() : m_dblJulian(0), - m_bGregorianCalendar(false) +CAADate::CAADate() noexcept : m_dblJulian(0), + m_bGregorianCalendar(false) { } -CAADate::CAADate(long Year, long Month, double Day, bool bGregorianCalendar) +CAADate::CAADate(long Year, long Month, double Day, bool bGregorianCalendar) noexcept : m_dblJulian(0), + m_bGregorianCalendar(false) { Set(Year, Month, Day, 0, 0, 0, bGregorianCalendar); } -CAADate::CAADate(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) +CAADate::CAADate(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) noexcept : m_dblJulian(0), + m_bGregorianCalendar(false) { Set(Year, Month, Day, Hour, Minute, Second, bGregorianCalendar); } -CAADate::CAADate(double JD, bool bGregorianCalendar) +CAADate::CAADate(double JD, bool bGregorianCalendar) noexcept : m_dblJulian(0), + m_bGregorianCalendar(false) { Set(JD, bGregorianCalendar); } -bool CAADate::AfterPapalReform(long Year, long Month, double Day) -{ - return ((Year > 1582) || ((Year == 1582) && (Month > 10)) || ((Year == 1582) && (Month == 10) && (Day >= 15))); -} - -bool CAADate::AfterPapalReform(double JD) -{ - return (JD >= 2299160.5); -} - -double CAADate::DateToJD(long Year, long Month, double Day, bool bGregorianCalendar) +double CAADate::DateToJD(long Year, long Month, double Day, bool bGregorianCalendar) noexcept { long Y = Year; long M = Month; @@ -112,40 +112,40 @@ double CAADate::DateToJD(long Year, long Month, double Day, bool bGregorianCalen long B = 0; if (bGregorianCalendar) { - long A = INT(Y / 100.0); + const long A = INT(Y / 100.0); B = 2 - A + INT(A / 4.0); } - return INT(365.25 * (Y + 4716)) + INT(30.6001 * (M + 1)) + Day + B - 1524.5; + return 0.0 + INT(365.25 * (Y + 4716.0)) + INT(30.6001 * (M + 1.0)) + Day + B - 1524.5; } -bool CAADate::IsLeap(long Year, bool bGregorianCalendar) -{ - if (bGregorianCalendar) - { - if ((Year % 100) == 0) +bool CAADate::IsLeap(long Year, bool bGregorianCalendar) noexcept +{ + if (bGregorianCalendar) + { + if ((Year % 100) == 0) return ((Year % 400) == 0) ? true : false; else return ((Year % 4) == 0) ? true : false; } - else + else return ((Year % 4) == 0) ? true : false; } -void CAADate::Set(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) +void CAADate::Set(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) noexcept { - double dblDay = Day + (Hour/24) + (Minute/1440) + (Second / 86400); + const double dblDay = Day + (Hour/24) + (Minute/1440) + (Second / 86400); Set(DateToJD(Year, Month, dblDay, bGregorianCalendar), bGregorianCalendar); } -void CAADate::Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, double& Second) const +void CAADate::Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, double& Second) const noexcept { - double JD = m_dblJulian + 0.5; + const double JD = m_dblJulian + 0.5; double tempZ = 0; double F = modf(JD, &tempZ); - long Z = static_cast(tempZ); - long A; - + const long Z = static_cast(tempZ); + long A = 0; + if (m_bGregorianCalendar) //There is a difference here between the Meeus implementation and this one //if (Z >= 2299161) //The Meeus implementation automatically assumes the Gregorian Calendar //came into effect on 15 October 1582 (JD: 2299161), while the CAADate @@ -156,18 +156,18 @@ void CAADate::Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, //reform in 1582. This is useful if you want to construct dates in countries //which did not immediately adapt the Gregorian calendar { - long alpha = INT((Z - 1867216.25) / 36524.25); + const long alpha = INT((Z - 1867216.25) / 36524.25); A = Z + 1 + alpha - INT(INT(alpha)/4.0); } else A = Z; - long B = A + 1524; + const long B = A + 1524; long C = INT((B - 122.1) / 365.25); - long D = INT(365.25 * C); - long E = INT((B - D) / 30.6001); + const long D = INT(365.25 * C); + long E = INT((0.0 + B - D) / 30.6001); - double dblDay = B - D - INT(30.6001 * E) + F; + double dblDay = 0.0 + B - D - INT(30.6001 * E) + F; Day = static_cast(dblDay); if (E < 14) @@ -186,25 +186,25 @@ void CAADate::Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, Second = (F - (Hour / 24.0) - (Minute / 1440.0)) * 86400.0; } -void CAADate::Set(double JD, bool bGregorianCalendar) +void CAADate::Set(double JD, bool bGregorianCalendar) noexcept { m_dblJulian = JD; SetInGregorianCalendar(bGregorianCalendar); } -void CAADate::SetInGregorianCalendar(bool bGregorianCalendar) +void CAADate::SetInGregorianCalendar(bool bGregorianCalendar) noexcept { - bool bAfterPapalReform = (m_dblJulian >= 2299160.5); + const bool bAfterPapalReform = AfterPapalReform(m_dblJulian); #ifdef _DEBUG - if (bGregorianCalendar) //We do not allow storage of propalatic Gregorian dates + if (bGregorianCalendar) //We do not allow storage of proleptic Gregorian dates assert(bAfterPapalReform); #endif //#ifdef _DEBUG m_bGregorianCalendar = bGregorianCalendar && bAfterPapalReform; } -long CAADate::Day() const +long CAADate::Day() const noexcept { long Year = 0; long Month = 0; @@ -216,7 +216,7 @@ long CAADate::Day() const return Day; } -long CAADate::Month() const +long CAADate::Month() const noexcept { long Year = 0; long Month = 0; @@ -228,7 +228,7 @@ long CAADate::Month() const return Month; } -long CAADate::Year() const +long CAADate::Year() const noexcept { long Year = 0; long Month = 0; @@ -240,7 +240,7 @@ long CAADate::Year() const return Year; } -long CAADate::Hour() const +long CAADate::Hour() const noexcept { long Year = 0; long Month = 0; @@ -252,7 +252,7 @@ long CAADate::Hour() const return Hour; } -long CAADate::Minute() const +long CAADate::Minute() const noexcept { long Year = 0; long Month = 0; @@ -264,7 +264,7 @@ long CAADate::Minute() const return Minute; } -double CAADate::Second() const +double CAADate::Second() const noexcept { long Year = 0; long Month = 0; @@ -276,31 +276,39 @@ double CAADate::Second() const return Second; } -CAADate::DAY_OF_WEEK CAADate::DayOfWeek() const +CAADate::DOW CAADate::DayOfWeek() const noexcept { - return static_cast((static_cast(m_dblJulian + 1.5) % 7)); + return static_cast((static_cast(m_dblJulian + 1.5) % 7)); } -long CAADate::DaysInMonth(long Month, bool bLeap) +long CAADate::DaysInMonth(long Month, bool bLeap) noexcept { //Validate our parameters assert(Month >= 1 && Month <= 12); #ifdef _MSC_VER __analysis_assume(Month >= 1 && Month <= 12); #endif //#ifdef _MSC_VER - - int MonthLength[] = - { - 31, 28, 31, 30, 31, 30, - 31, 31, 30, 31, 30, 31 - }; + + static constexpr array g_NonLeapMonths{ 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }; + static constexpr array g_LeapMonths{ 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }; + if (bLeap) - MonthLength[1]++; - - return MonthLength[Month-1]; + { + #ifdef _MSC_VER + #pragma warning(suppress : 26446 26472 26482) + #endif //#ifdef _MSC_VER + return g_LeapMonths[static_cast(Month) - 1]; + } + else + { + #ifdef _MSC_VER + #pragma warning(suppress : 26446 26472 26482) + #endif //#ifdef _MSC_VER + return g_NonLeapMonths[static_cast(Month) - 1]; + } } -long CAADate::DaysInMonth() const +long CAADate::DaysInMonth() const noexcept { long Year = 0; long Month = 0; @@ -313,7 +321,7 @@ long CAADate::DaysInMonth() const return DaysInMonth(Month, IsLeap(Year, m_bGregorianCalendar)); } -long CAADate::DaysInYear() const +long CAADate::DaysInYear() const noexcept { long Year = 0; long Month = 0; @@ -329,7 +337,7 @@ long CAADate::DaysInYear() const return 365; } -double CAADate::DayOfYear() const +double CAADate::DayOfYear() const noexcept { long Year = 0; long Month = 0; @@ -342,12 +350,12 @@ double CAADate::DayOfYear() const return DayOfYear(m_dblJulian, Year, AfterPapalReform(Year, 1, 1)); } -double CAADate::DayOfYear(double JD, long Year, bool bGregorianCalendar) +double CAADate::DayOfYear(double JD, long Year, bool bGregorianCalendar) noexcept { return JD - DateToJD(Year, 1, 1, bGregorianCalendar) + 1; } -double CAADate::FractionalYear() const +double CAADate::FractionalYear() const noexcept { long Year = 0; long Month = 0; @@ -357,7 +365,7 @@ double CAADate::FractionalYear() const double Second = 0; Get(Year, Month, Day, Hour, Minute, Second); - long DaysInYear; + long DaysInYear = 0; if (IsLeap(Year, m_bGregorianCalendar)) DaysInYear = 366; else @@ -366,23 +374,23 @@ double CAADate::FractionalYear() const return Year + ((m_dblJulian - DateToJD(Year, 1, 1, AfterPapalReform(Year, 1, 1))) / DaysInYear); } -bool CAADate::Leap() const +bool CAADate::Leap() const noexcept { return IsLeap(Year(), m_bGregorianCalendar); } -void CAADate::DayOfYearToDayAndMonth(long DayOfYear, bool bLeap, long& DayOfMonth, long& Month) +void CAADate::DayOfYearToDayAndMonth(long DayOfYear, bool bLeap, long& DayOfMonth, long& Month) noexcept { long K = bLeap ? 1 : 2; - Month = INT(9*(K + DayOfYear)/275.0 + 0.98); + Month = INT(9 * (0.0 + K + DayOfYear) / 275.0 + 0.98); if (DayOfYear < 32) Month = 1; - DayOfMonth = DayOfYear - INT((275*Month)/9.0) + (K*INT((Month + 9)/12.0)) + 30; + DayOfMonth = DayOfYear - INT((275.0 * Month) / 9.0) + (K * INT((Month + 9.0) / 12.0)) + 30; } -long CAADate::INT(double value) +long CAADate::INT(double value) noexcept { if (value >= 0) return static_cast(value); @@ -390,12 +398,12 @@ long CAADate::INT(double value) return static_cast(value - 1); } -CAACalendarDate CAADate::JulianToGregorian(long Year, long Month, long Day) +CAACalendarDate CAADate::JulianToGregorian(long Year, long Month, long Day) noexcept { CAADate date(Year, Month, Day, false); date.SetInGregorianCalendar(true); - CAACalendarDate GregorianDate; + CAACalendarDate GregorianDate; long Hour = 0; long Minute = 0; double Second = 0; @@ -404,12 +412,12 @@ CAACalendarDate CAADate::JulianToGregorian(long Year, long Month, long Day) return GregorianDate; } -CAACalendarDate CAADate::GregorianToJulian(long Year, long Month, long Day) +CAACalendarDate CAADate::GregorianToJulian(long Year, long Month, long Day) noexcept { CAADate date(Year, Month, Day, true); date.SetInGregorianCalendar(false); - CAACalendarDate JulianDate; + CAACalendarDate JulianDate; long Hour = 0; long Minute = 0; double Second = 0; diff --git a/Sources/AAPlus/include/AADate.h b/Sources/AAPlus/include/AADate.h new file mode 100644 index 0000000..a0503cc --- /dev/null +++ b/Sources/AAPlus/include/AADate.h @@ -0,0 +1,121 @@ +/* +Module : AADate.h +Purpose: Implementation for the algorithms which convert between the Gregorian and Julian calendars and the Julian Day +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AADATE_H__ +#define __AADATE_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AADefines.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAACalendarDate +{ +public: +//Member variables + long Year = 0; + long Month = 0; + long Day = 0; +}; + +class AAPLUS_EXT_CLASS CAADate +{ +public: +//Enums + enum class DOW + { + SUNDAY = 0, + MONDAY = 1, + TUESDAY = 2, + WEDNESDAY = 3, + THURSDAY = 4, + FRIDAY = 5, + SATURDAY = 6 + }; + +//Constructors / Destructors + CAADate() noexcept; + CAADate(long Year, long Month, double Day, bool bGregorianCalendar) noexcept; + CAADate(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) noexcept; + CAADate(double JD, bool bGregorianCalendar) noexcept; + +//Static Methods + static double DateToJD(long Year, long Month, double Day, bool bGregorianCalendar) noexcept; + static bool IsLeap(long Year, bool bGregorianCalendar) noexcept; + static void DayOfYearToDayAndMonth(long DayOfYear, bool bLeap, long& DayOfMonth, long& Month) noexcept; + static CAACalendarDate JulianToGregorian(long Year, long Month, long Day) noexcept; + static CAACalendarDate GregorianToJulian(long Year, long Month, long Day) noexcept; + static long INT(double value) noexcept; + + constexpr static bool AfterPapalReform(long Year, long Month, double Day) + { + return ((Year > 1582) || ((Year == 1582) && (Month > 10)) || ((Year == 1582) && (Month == 10) && (Day >= 15))); + } + + constexpr static bool AfterPapalReform(double JD) + { + return (JD >= 2299160.5); + } + + static double DayOfYear(double JD, long Year, bool bGregorianCalendar) noexcept; + static long DaysInMonth(long Month, bool bLeap) noexcept; + +//Non Static methods + [[nodiscard]] double Julian() const noexcept { return m_dblJulian; }; + operator double() const noexcept { return m_dblJulian; }; + [[nodiscard]] long Day() const noexcept; + [[nodiscard]] long Month() const noexcept; + [[nodiscard]] long Year() const noexcept; + [[nodiscard]] long Hour() const noexcept; + [[nodiscard]] long Minute() const noexcept; + [[nodiscard]] double Second() const noexcept; + void Set(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar) noexcept; + void Set(double JD, bool bGregorianCalendar) noexcept; + void SetInGregorianCalendar(bool bGregorianCalendar) noexcept; + void Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, double& Second) const noexcept; + [[nodiscard]] DOW DayOfWeek() const noexcept; + [[nodiscard]] double DayOfYear() const noexcept; + [[nodiscard]] long DaysInMonth() const noexcept; + [[nodiscard]] long DaysInYear() const noexcept; + [[nodiscard]] bool Leap() const noexcept; + [[nodiscard]] bool InGregorianCalendar() const noexcept { return m_bGregorianCalendar; }; + [[nodiscard]] double FractionalYear() const noexcept; + +protected: +//Member variables + double m_dblJulian; //Julian Day number for this date + bool m_bGregorianCalendar; //Is this date in the Gregorian calendar +}; + + +#endif //#ifndef __AADATE_H__ diff --git a/Sources/AAPlus/include/AADefines.h b/Sources/AAPlus/include/AADefines.h new file mode 100644 index 0000000..e9961c1 --- /dev/null +++ b/Sources/AAPlus/include/AADefines.h @@ -0,0 +1,37 @@ +/* +Module : AADefines.h +Purpose: include file for AA+ framework for defines +Created: PJN / 30-1-2005 + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////// Macros / Defines ////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + + +#ifndef __AADEFINES_H__ +#define __AADEFINES_H__ + + +#ifndef UNREFERENCED_PARAMETER +#define UNREFERENCED_PARAMETER(x) ((void)(x)) +#endif //#ifndef UNREFERENCED_PARAMETER + + +#endif //__AADEFINES_H__ diff --git a/Sources/AAPlus/include/AADiameters.h b/Sources/AAPlus/include/AADiameters.h new file mode 100644 index 0000000..205d3d3 --- /dev/null +++ b/Sources/AAPlus/include/AADiameters.h @@ -0,0 +1,163 @@ +/* +Module : AADiameters.h +Purpose: Implementation for the algorithms for the semi diameters of the Sun, Moon, Planets, and Asteroids +Created: PJN / 15-01-2004 + +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AADIAMETERS_H__ +#define __AADIAMETERS_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AACoordinateTransformation.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAADiameters +{ +public: +//Static methods + constexpr static double SunSemidiameterA(double Delta) + { + return 959.63 / Delta; + } + + constexpr static double MercurySemidiameterA(double Delta) + { + return 3.34 / Delta; + } + + constexpr static double VenusSemidiameterA(double Delta) + { + return 8.41 / Delta; + } + + constexpr static double MarsSemidiameterA(double Delta) + { + return 4.68 / Delta; + } + + constexpr static double JupiterEquatorialSemidiameterA(double Delta) + { + return 98.47 / Delta; + } + + constexpr static double JupiterPolarSemidiameterA(double Delta) + { + return 91.91 / Delta; + } + + constexpr static double SaturnEquatorialSemidiameterA(double Delta) + { + return 83.33 / Delta; + } + + constexpr static double SaturnPolarSemidiameterA(double Delta) + { + return 74.57 / Delta; + } + + constexpr static double UranusSemidiameterA(double Delta) + { + return 34.28/Delta; + } + + constexpr static double NeptuneSemidiameterA(double Delta) + { + return 36.56/Delta; + } + + constexpr static double MercurySemidiameterB(double Delta) + { + return 3.36/Delta; + } + + constexpr static double VenusSemidiameterB(double Delta) + { + return 8.34/Delta; + } + + constexpr static double MarsSemidiameterB(double Delta) + { + return 4.68/Delta; + } + + constexpr static double JupiterEquatorialSemidiameterB(double Delta) + { + return 98.44/Delta; + } + + constexpr static double JupiterPolarSemidiameterB(double Delta) + { + return 92.06/Delta; + } + + constexpr static double SaturnEquatorialSemidiameterB(double Delta) + { + return 82.73/Delta; + } + + constexpr static double SaturnPolarSemidiameterB(double Delta) + { + return 73.82/Delta; + } + + constexpr static double UranusSemidiameterB(double Delta) + { + return 35.02 / Delta; + } + + constexpr static double NeptuneSemidiameterB(double Delta) + { + return 33.50 / Delta; + } + + constexpr static double PlutoSemidiameterB(double Delta) + { + return 2.07 / Delta; + } + + constexpr static double GeocentricMoonSemidiameter(double Delta) + { + return CAACoordinateTransformation::RadiansToDegrees(0.272481 * 6378.14 / Delta) * 3600; + } + + constexpr static double ApparentAsteroidDiameter(double Delta, double d) + { + return 0.0013788*d / Delta; + } + + static double ApparentSaturnPolarSemidiameterA(double Delta, double B) noexcept; + static double ApparentSaturnPolarSemidiameterB(double Delta, double B) noexcept; + static double TopocentricMoonSemidiameter(double DistanceDelta, double Delta, double H, double Latitude, double Height) noexcept; + static double AsteroidDiameter(double H, double A) noexcept; +}; + + +#endif //#ifndef __AADIAMETERS_H__ diff --git a/Sources/AAPlus/include/AADynamicalTime.cpp b/Sources/AAPlus/include/AADynamicalTime.cpp new file mode 100644 index 0000000..a68994b --- /dev/null +++ b/Sources/AAPlus/include/AADynamicalTime.cpp @@ -0,0 +1,19519 @@ +/* +Module : AADynamicalTime.cpp +Purpose: Implementation for the algorithms which provides for conversion between Universal Time (both UT1 and UTC) and Terrestrial Time (TT) aka Terrestrial Dynamical Time (TDT) + aka Ephemeris Time (ET) +Created: PJN / 29-12-2003 +History: PJN / 01-02-2005 1. Fixed a problem with the declaration of the variable "Index" in the function + CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen for reporting this problem. + PJN / 26-01-2007 1. Update to fit in with new layout of CAADate class + PJN / 28-01-2007 1. Further updates to fit in with new layout of CAADate class + PJN / 08-05-2011 1. Fixed a compilation issue on GCC where size_t was undefined in various methods. Thanks to + Carsten A. Arnholm and Andrew Hammond for reporting this bug. + PJN / 01-05-2012 1. Updated CAADynamicalTime::DeltaT to use new polynomical expressions from Espenak & Meeus 2006. + References used: http://eclipse.gsfc.nasa.gov/SEcat5/deltatpoly.html and + http://www.staff.science.uu.nl/~gent0113/deltat/deltat_old.htm (Espenak & Meeus 2006 section). + Thanks to Murphy Chesney for prompting this update. + PJN / 02-05-2012 1. To further improve the accuracy of the CAADynamicalTime::DeltaT method, the code now uses a + lookup table between the dates of 1 February 1973 to 1 April 2012 (for observed values) and predicted + values from April 2012 till April 2015. These values are as provided by IERS Rapid + Service/Prediction Center at http://maia.usno.navy.mil/ser7/deltat.data and + http://maia.usno.navy.mil/ser7/deltat.preds. This lookup table will of course need to be kept up to + date as IERS update this information. As currently coded there is a single discontinuity of c. one second + in early April 2015. At this point http://maia.usno.navy.mil/ser7/deltat.preds indicates an error value + for DeltaT of about 0.9 seconds anyway. + 2. A new CAADynamicalTime::CumulativeLeapSeconds has been provided. This method takes as input the Julian + Day value and returns the cumulative total of Leap seconds which have been applied to this point. For more + information about leap seconds please see http://en.wikipedia.org/wiki/Leap_second. Using this method you + can now implement code which converts from Terrestial Time to Coordinated Universal time as follows: + + double TerrestialTime = some calculation using AA+ algorithms(JD); + double DeltaT = CAADynamicalTime::DeltaT(JD); + double UniversalTime1 = TerrestialTime - DeltaT/86400.0; //The time of the event using the UT1 time scale + double TerrestialAtomicTime = TerrestialTime - (32.184/86400.0); //The time of the event using the TAI time scale + double CumulativeLeapSeconds = CAADynamicalTime::CumulativeLeapSeconds(JD); + double CoordinatedUniversalTime = (DeltaT - CumulativeLeapSeconds - 32.184)/86400.0 + UniversalTime1; //The time of the event using the UTC time scale + PJN / 13-10-2012 1. Fixed a typo in the spelling of Coefficient throughout the AADynamicalTime.cpp module + PJN / 04-08-2013 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2013 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2023 + PJN / 28-10-2013 1. Addition of a TT2UTC method which converts from TT to UTC. + 2. Addition of a UTC2TT method which converts from UTC to TT. + 3. Addition of a TT2TAI method which converts from TT to TAI. + 4. Addition of a TAI2TT method which converts from TAI to TT. + 5. Addition of a TT2UT1 method which converts from TT to UT1. + 6. Addition of a UT12TT method which converts from UT1 to TT. + 7. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st September 2013 + 8. Addition of a UT1MinusUTC method which returns UT1 - UTC. + PJN / 12-11-2014 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2014 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024 + PJN / 15-02-2015 1. Updated copyright details. + 2. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st January 2015 + 3. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024 + 4. Updated the CumulativeLeapSeconds table from http://maia.usno.navy.mil/ser7/tai-utc.dat to 1st July 2015 + PJN / 05-07-2015 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2015 + PJN / 01-09-2015 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st July 2015 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2025 + PJN / 31-12-2015 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2015 + 2. Verified the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds are up to date + PJN / 09-03-2016 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st February 2016 + 2. Verified the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds are up to date + PJN / 07-07-2016 1. Updated the CAADynamicalTime::CumulativeLeapSeconds method as taken from + http://maia.usno.navy.mil/ser7/tai-utc.dat to include the leap second which will occur on 1 January 2017. + 2. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st July 2016 + 3. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to July 2026 + PJN / 05-02-2017 1. Updated copyright details. + 2. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st January 2017 + 3. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to Jan 2026 + PJN / 18-02-2017 1. Fixed a transcription error on the DeltaT value for 1 May 2015. The correct value is 67.8012 instead + of 67.8011. Thanks to Luigi Candurro for reporting this error. + 2. Fixed a number of transcription errors on the predicted DeltaT values from 2019.75 to 2025.75. Thanks + to Luigi Candurro for reporting these errors. + 3. CAADynamicalTime::TT2UTC is now implemented as TT2UT1 for date ranges prior to 1 January 1961 and 500 + days after the last leap second (which is currently 1 January 2017). Also CAADynamicalTime::UTC2TT is + now implemented as UT12TT for date ranges prior to 1 January 1961 and 500 days after the last leap + second. These changes address problems where these two methods would end up using a constant offset + between UTC and TT for dates away from the current epoch. This problem was discovered while calculating + rise, transit and set times for the Moon in B.C.E years. Thanks to Luigi Candurro for prompting this + update. + PJN / 19-02-2017 1. Fixed a bug in the CAADynamicalTime::UTC2TT & CAADynamicalTime::TT2UTC methods where the code would + incorrectly use BaseMJD instead of JD when determining if the date is in the valid range of UTC. Thanks + to Luigi Candurro for reporting this bug. + PJN / 30-07-2017 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st June 2017 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to Jan 2026 + PJN / 20-01-2018 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st January 2018 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to Jan 2026 + PJN / 22-09-2018 1. Updated the observed DeltaT values from http://toshi.nofs.navy.mil/ser7/deltat.data to 1st April 2018 + PJN / 03-01-2019 1. Updated copyright details. + 2. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2018 + PJN / 03-01-2019 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st January 2019 + PJN / 08-06-2019 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2019 + 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to October 2027 + PJN / 23-06-2019 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st June 2019 + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 28-09-2019 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st September 2019 + PJN / 22-04-2020 1. Updated the observed DeltaT values from ftp://cddis.gsfc.nasa.gov/pub/products/iers/deltat.data to 1st February 2020 + 2. Reworked C arrays to use std::array + 3. Fixed more Clang-Tidy static code analysis warnings in the code. + PJN / 22-11-2020 1. Updated the observed DeltaT values from https://datacenter.iers.org/eop.php to 1st November 2020. The IERS web site + is the definitive source for these values as the USNO websites which I have previously used are offline at the moment for + modernization efforts (See https://www.usno.navy.mil/ for the details). To obtain values for DeltaT to add to the + g_DeltaTValues table below, the value "UT1-UTC" was taken from Bulletin A and the formula: + DeltaT = AccumulatedLeapsSeconds + 32.184 - (UT1-UTC) was used. The "AccumulatedLeapsSeconds" for 2020 is currently 37 + seconds. If you plot the values for DeltaT for 2020 you will see that around June 2020 the value for DeltaT has started to + decrease instead of the long term increasing trend for DeltaT. If this trend continues we may see the first negative leap + second occur in the next few years. + PJN / 23-11-2020 1. Reworked CAADynamicalTime::TT2UTC & CAADynamicalTime::UTC2TT methods to use std::array::size instead of sizeof. + PJN / 04-12-2020 1. Updated the observed DeltaT values from https://datacenter.iers.org/eop.php to 1st December 2020. + PJN / 09-01-2021 1. Updated the observed DeltaT values from https://datacenter.iers.org/eop.php to 1st January 2021. + PJN / 05-02-2021 1. Updated the observed DeltaT values from https://datacenter.iers.org/eop.php to 1st February 2021. + PJN / 07-03-2021 1. Updated the observed DeltaT values from https://datacenter.iers.org/eop.php to 1st March 2021. + PJN / 12-03-2021 1. Reworked CAADynamicalTime::DeltaT to use std::upper_bound to speed up logic to find correct entry in the g_DeltaTValues + lookup table. + 2. Reworked CAADynamicalTime::CumulativeLeapSeconds to use std::upper_bound to speed up logic to find correct entry in the + g_LeapSecondCoefficients lookup table. + 3. Updated the g_DeltaTValues lookup table to use values from the year 1657 to 1972.50 to use data from + https://cddis.nasa.gov/archive/products/iers/historic_deltat.data which provides a granularity of 0.5 of a year. Also + updated the same array to use values from 2 January 1973 to 19 March 2022 from + https://cddis.nasa.gov/archive/products/iers/finals2000A.all which provides a granularity of 1 day. Also updated the same + array to use values from the year 2022.25 to 2027.75 from https://cddis.nasa.gov/archive/products/iers/deltat.preds which + provides a granularity of 0.25 of a year. All of this was implemented using a program which machine generates the lookup + table using custom code. This new lookup table now includes > 18k elements and provides 1 - 1 precision with all the data + released by IERS. The machine generated code will also make it easier to update this data as new data is published by + IERS going forward. Using this new lookup array we now have a discontinuity of c. 3.7 seconds in January 1657 and a + discontinuity of c. 2.5 seconds in October 2027 for the CAADynamicalTime::DeltaT method. With these updates AA+ is now + 29.7 Megabytes and 416 thousand lines of C++ source code. + 4. Implemented a CAADynamicalTime::SetUserDefinedDeltaT method which allows a user provided DeltaT function to be + provided. By default the CAADynamicalTime::DeltaT function uses its own lookup tables and polynomials to calculate + DeltaT, but if CAADynamicalTime::SetUserDefinedDeltaT has been called to provide a custom DeltaT function then the + callback function provided to this method will be used instead. + PJN / 02-04-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 1 April 2021 and predicted values to + 9 April 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 20-04-2021 1. Added a preprocessor directive "AAPLUS_DELTAT_NO_HIGH_PRECISION" which if defined will only use the polynomial + equations instead of lookup tables from IERS for calculating DeltaT in the method CAADynamicalTime::DeltaT. By defining + this value you reduce the memory requirements needed for the lookup table "g_DeltaTValues" by 300 KB. + PJN / 01-05-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 29 April 2021 and predicted values to + 7 May 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 05-06-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 3 June 2021 and predicted values to + 11 June 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 08-07-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 8 July 2021 and predicted values to + 16 July 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 09-08-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 5 August 2021 and predicted values to + 13 August 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 12-09-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 9 September 2021 and predicted values to + 17 September 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 23-10-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 21 October 2021 and predicted values to + 29 October 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 06-11-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 4 November 2021 and predicted values to + 12 November 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 22-12-2021 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 16 December 2021 and predicted values to + 24 December 2022 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 24-01-2022 1. Updated copyright details. + 2. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 20 January 2022 and predicted values to + 28 January 2023 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all. + PJN / 20-03-2022 1. Updated the g_DeltaTValues lookup table to use observed DeltaT values to 17 March 2022 and predicted values to + 25 March 2023 from https://cddis.nasa.gov/archive/products/iers/finals2000A.all and long term predicted values to + 1 January 2032 from https://cddis.nasa.gov/archive/products/iers/deltat.preds. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +////////////////////////////////// Includes /////////////////////////////////// + +#include "stdafx.h" +#include "AADynamicalTime.h" +#include "AADate.h" +#include +#include +#include +#include +using namespace std; + + +////////////////////////////////// Macros / Defines /////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482) +#endif //#ifdef _MSC_VER + + +#ifndef AAPLUS_DELTAT_NO_HIGH_PRECISION + +struct DeltaTValue +{ + double JD; + double DeltaT; +}; + +constexpr array g_DeltaTValues +{ { +//Values from https://cddis.nasa.gov/archive/products/iers/historic_deltat.data + { 2326267.50, 44.000 }, //1657.00 + { 2326450.00, 43.000 }, //1657.50 + { 2326632.50, 43.000 }, //1658.00 + { 2326815.00, 41.000 }, //1658.50 + { 2326997.50, 40.000 }, //1659.00 + { 2327180.00, 39.000 }, //1659.50 + { 2327362.50, 38.000 }, //1660.00 + { 2327545.50, 37.000 }, //1660.50 + { 2327728.50, 37.000 }, //1661.00 + { 2327911.00, 36.000 }, //1661.50 + { 2328093.50, 36.000 }, //1662.00 + { 2328276.00, 36.000 }, //1662.50 + { 2328458.50, 37.000 }, //1663.00 + { 2328641.00, 37.000 }, //1663.50 + { 2328823.50, 38.000 }, //1664.00 + { 2329006.50, 37.000 }, //1664.50 + { 2329189.50, 36.000 }, //1665.00 + { 2329372.00, 36.000 }, //1665.50 + { 2329554.50, 35.000 }, //1666.00 + { 2329737.00, 35.000 }, //1666.50 + { 2329919.50, 34.000 }, //1667.00 + { 2330102.00, 33.000 }, //1667.50 + { 2330284.50, 33.000 }, //1668.00 + { 2330467.50, 32.000 }, //1668.50 + { 2330650.50, 32.000 }, //1669.00 + { 2330833.00, 31.000 }, //1669.50 + { 2331015.50, 31.000 }, //1670.00 + { 2331198.00, 30.000 }, //1670.50 + { 2331380.50, 30.000 }, //1671.00 + { 2331563.00, 29.000 }, //1671.50 + { 2331745.50, 29.000 }, //1672.00 + { 2331928.50, 29.000 }, //1672.50 + { 2332111.50, 29.000 }, //1673.00 + { 2332294.00, 29.000 }, //1673.50 + { 2332476.50, 28.000 }, //1674.00 + { 2332659.00, 28.000 }, //1674.50 + { 2332841.50, 27.000 }, //1675.00 + { 2333024.00, 27.000 }, //1675.50 + { 2333206.50, 26.000 }, //1676.00 + { 2333389.50, 26.000 }, //1676.50 + { 2333572.50, 25.000 }, //1677.00 + { 2333755.00, 25.000 }, //1677.50 + { 2333937.50, 25.000 }, //1678.00 + { 2334120.00, 26.000 }, //1678.50 + { 2334302.50, 26.000 }, //1679.00 + { 2334485.00, 26.000 }, //1679.50 + { 2334667.50, 26.000 }, //1680.00 + { 2334850.50, 25.000 }, //1680.50 + { 2335033.50, 25.000 }, //1681.00 + { 2335216.00, 25.000 }, //1681.50 + { 2335398.50, 24.000 }, //1682.00 + { 2335581.00, 24.000 }, //1682.50 + { 2335763.50, 24.000 }, //1683.00 + { 2335946.00, 24.000 }, //1683.50 + { 2336128.50, 24.000 }, //1684.00 + { 2336311.50, 24.000 }, //1684.50 + { 2336494.50, 24.000 }, //1685.00 + { 2336677.00, 24.000 }, //1685.50 + { 2336859.50, 24.000 }, //1686.00 + { 2337042.00, 24.000 }, //1686.50 + { 2337224.50, 23.000 }, //1687.00 + { 2337407.00, 23.000 }, //1687.50 + { 2337589.50, 23.000 }, //1688.00 + { 2337772.50, 23.000 }, //1688.50 + { 2337955.50, 22.000 }, //1689.00 + { 2338138.00, 22.000 }, //1689.50 + { 2338320.50, 22.000 }, //1690.00 + { 2338503.00, 22.000 }, //1690.50 + { 2338685.50, 22.000 }, //1691.00 + { 2338868.00, 21.000 }, //1691.50 + { 2339050.50, 21.000 }, //1692.00 + { 2339233.50, 21.000 }, //1692.50 + { 2339416.50, 21.000 }, //1693.00 + { 2339599.00, 21.000 }, //1693.50 + { 2339781.50, 21.000 }, //1694.00 + { 2339964.00, 21.000 }, //1694.50 + { 2340146.50, 21.000 }, //1695.00 + { 2340329.00, 20.000 }, //1695.50 + { 2340511.50, 20.000 }, //1696.00 + { 2340694.50, 20.000 }, //1696.50 + { 2340877.50, 20.000 }, //1697.00 + { 2341060.00, 20.000 }, //1697.50 + { 2341242.50, 20.000 }, //1698.00 + { 2341425.00, 20.000 }, //1698.50 + { 2341607.50, 20.000 }, //1699.00 + { 2341790.00, 20.000 }, //1699.50 + { 2341972.50, 21.000 }, //1700.00 + { 2342155.00, 21.000 }, //1700.50 + { 2342337.50, 21.000 }, //1701.00 + { 2342520.00, 20.000 }, //1701.50 + { 2342702.50, 20.000 }, //1702.00 + { 2342885.00, 20.000 }, //1702.50 + { 2343067.50, 20.000 }, //1703.00 + { 2343250.00, 20.000 }, //1703.50 + { 2343432.50, 19.000 }, //1704.00 + { 2343615.50, 19.000 }, //1704.50 + { 2343798.50, 19.000 }, //1705.00 + { 2343981.00, 19.000 }, //1705.50 + { 2344163.50, 19.000 }, //1706.00 + { 2344346.00, 20.000 }, //1706.50 + { 2344528.50, 20.000 }, //1707.00 + { 2344711.00, 20.000 }, //1707.50 + { 2344893.50, 20.000 }, //1708.00 + { 2345076.50, 19.000 }, //1708.50 + { 2345259.50, 20.000 }, //1709.00 + { 2345442.00, 20.000 }, //1709.50 + { 2345624.50, 20.000 }, //1710.00 + { 2345807.00, 20.000 }, //1710.50 + { 2345989.50, 20.000 }, //1711.00 + { 2346172.00, 20.000 }, //1711.50 + { 2346354.50, 21.000 }, //1712.00 + { 2346537.50, 21.000 }, //1712.50 + { 2346720.50, 21.000 }, //1713.00 + { 2346903.00, 21.000 }, //1713.50 + { 2347085.50, 21.000 }, //1714.00 + { 2347268.00, 21.000 }, //1714.50 + { 2347450.50, 21.000 }, //1715.00 + { 2347633.00, 21.000 }, //1715.50 + { 2347815.50, 21.000 }, //1716.00 + { 2347998.50, 21.000 }, //1716.50 + { 2348181.50, 21.000 }, //1717.00 + { 2348364.00, 21.000 }, //1717.50 + { 2348546.50, 21.000 }, //1718.00 + { 2348729.00, 21.000 }, //1718.50 + { 2348911.50, 21.000 }, //1719.00 + { 2349094.00, 21.000 }, //1719.50 + { 2349276.50, 21.100 }, //1720.00 + { 2349459.50, 21.000 }, //1720.50 + { 2349642.50, 21.000 }, //1721.00 + { 2349825.00, 21.000 }, //1721.50 + { 2350007.50, 20.900 }, //1722.00 + { 2350190.00, 20.800 }, //1722.50 + { 2350372.50, 20.700 }, //1723.00 + { 2350555.00, 20.600 }, //1723.50 + { 2350737.50, 20.400 }, //1724.00 + { 2350920.50, 20.200 }, //1724.50 + { 2351103.50, 20.000 }, //1725.00 + { 2351286.00, 19.700 }, //1725.50 + { 2351468.50, 19.400 }, //1726.00 + { 2351651.00, 19.100 }, //1726.50 + { 2351833.50, 18.700 }, //1727.00 + { 2352016.00, 18.300 }, //1727.50 + { 2352198.50, 17.800 }, //1728.00 + { 2352381.50, 17.400 }, //1728.50 + { 2352564.50, 17.000 }, //1729.00 + { 2352747.00, 16.800 }, //1729.50 + { 2352929.50, 16.600 }, //1730.00 + { 2353112.00, 16.400 }, //1730.50 + { 2353294.50, 16.100 }, //1731.00 + { 2353477.00, 15.900 }, //1731.50 + { 2353659.50, 15.700 }, //1732.00 + { 2353842.50, 15.500 }, //1732.50 + { 2354025.50, 15.300 }, //1733.00 + { 2354208.00, 15.000 }, //1733.50 + { 2354390.50, 14.700 }, //1734.00 + { 2354573.00, 14.500 }, //1734.50 + { 2354755.50, 14.300 }, //1735.00 + { 2354938.00, 14.200 }, //1735.50 + { 2355120.50, 14.100 }, //1736.00 + { 2355303.50, 14.100 }, //1736.50 + { 2355486.50, 14.100 }, //1737.00 + { 2355669.00, 13.900 }, //1737.50 + { 2355851.50, 13.700 }, //1738.00 + { 2356034.00, 13.600 }, //1738.50 + { 2356216.50, 13.500 }, //1739.00 + { 2356399.00, 13.500 }, //1739.50 + { 2356581.50, 13.500 }, //1740.00 + { 2356764.50, 13.500 }, //1740.50 + { 2356947.50, 13.400 }, //1741.00 + { 2357130.00, 13.400 }, //1741.50 + { 2357312.50, 13.400 }, //1742.00 + { 2357495.00, 13.400 }, //1742.50 + { 2357677.50, 13.300 }, //1743.00 + { 2357860.00, 13.300 }, //1743.50 + { 2358042.50, 13.200 }, //1744.00 + { 2358225.50, 13.200 }, //1744.50 + { 2358408.50, 13.200 }, //1745.00 + { 2358591.00, 13.100 }, //1745.50 + { 2358773.50, 13.100 }, //1746.00 + { 2358956.00, 13.100 }, //1746.50 + { 2359138.50, 13.000 }, //1747.00 + { 2359321.00, 13.200 }, //1747.50 + { 2359503.50, 13.300 }, //1748.00 + { 2359686.50, 13.400 }, //1748.50 + { 2359869.50, 13.500 }, //1749.00 + { 2360052.00, 13.600 }, //1749.50 + { 2360234.50, 13.700 }, //1750.00 + { 2360417.00, 13.800 }, //1750.50 + { 2360599.50, 13.900 }, //1751.00 + { 2360782.00, 14.000 }, //1751.50 + { 2360964.50, 14.000 }, //1752.00 + { 2361147.50, 14.100 }, //1752.50 + { 2361330.50, 14.100 }, //1753.00 + { 2361513.00, 14.100 }, //1753.50 + { 2361695.50, 14.100 }, //1754.00 + { 2361878.00, 14.200 }, //1754.50 + { 2362060.50, 14.300 }, //1755.00 + { 2362243.00, 14.400 }, //1755.50 + { 2362425.50, 14.400 }, //1756.00 + { 2362608.50, 14.500 }, //1756.50 + { 2362791.50, 14.600 }, //1757.00 + { 2362974.00, 14.600 }, //1757.50 + { 2363156.50, 14.700 }, //1758.00 + { 2363339.00, 14.700 }, //1758.50 + { 2363521.50, 14.700 }, //1759.00 + { 2363704.00, 14.800 }, //1759.50 + { 2363886.50, 14.800 }, //1760.00 + { 2364069.50, 14.900 }, //1760.50 + { 2364252.50, 14.900 }, //1761.00 + { 2364435.00, 15.000 }, //1761.50 + { 2364617.50, 15.000 }, //1762.00 + { 2364800.00, 15.100 }, //1762.50 + { 2364982.50, 15.200 }, //1763.00 + { 2365165.00, 15.300 }, //1763.50 + { 2365347.50, 15.400 }, //1764.00 + { 2365530.50, 15.500 }, //1764.50 + { 2365713.50, 15.600 }, //1765.00 + { 2365896.00, 15.600 }, //1765.50 + { 2366078.50, 15.600 }, //1766.00 + { 2366261.00, 15.800 }, //1766.50 + { 2366443.50, 15.900 }, //1767.00 + { 2366626.00, 15.900 }, //1767.50 + { 2366808.50, 15.900 }, //1768.00 + { 2366991.50, 15.800 }, //1768.50 + { 2367174.50, 15.700 }, //1769.00 + { 2367357.00, 15.800 }, //1769.50 + { 2367539.50, 15.700 }, //1770.00 + { 2367722.00, 15.700 }, //1770.50 + { 2367904.50, 15.700 }, //1771.00 + { 2368087.00, 15.800 }, 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14.400 }, //1785.50 + { 2373383.50, 14.300 }, //1786.00 + { 2373566.00, 14.200 }, //1786.50 + { 2373748.50, 14.100 }, //1787.00 + { 2373931.00, 14.200 }, //1787.50 + { 2374113.50, 14.200 }, //1788.00 + { 2374296.50, 13.900 }, //1788.50 + { 2374479.50, 13.700 }, //1789.00 + { 2374662.00, 13.500 }, //1789.50 + { 2374844.50, 13.300 }, //1790.00 + { 2375027.00, 13.100 }, //1790.50 + { 2375209.50, 13.000 }, //1791.00 + { 2375392.00, 13.200 }, //1791.50 + { 2375574.50, 13.200 }, //1792.00 + { 2375757.50, 13.100 }, //1792.50 + { 2375940.50, 13.100 }, //1793.00 + { 2376123.00, 13.200 }, //1793.50 + { 2376305.50, 13.300 }, //1794.00 + { 2376488.00, 13.500 }, //1794.50 + { 2376670.50, 13.500 }, //1795.00 + { 2376853.00, 13.400 }, //1795.50 + { 2377035.50, 13.200 }, //1796.00 + { 2377218.50, 13.200 }, //1796.50 + { 2377401.50, 13.100 }, //1797.00 + { 2377584.00, 13.100 }, //1797.50 + { 2377766.50, 13.000 }, //1798.00 + { 2377949.00, 12.800 }, //1798.50 + { 2378131.50, 12.600 }, //1799.00 + { 2378314.00, 12.700 }, //1799.50 + { 2378496.50, 12.600 }, //1800.00 + { 2378679.00, 12.300 }, //1800.50 + { 2378861.50, 12.000 }, //1801.00 + { 2379044.00, 11.900 }, //1801.50 + { 2379226.50, 11.800 }, //1802.00 + { 2379409.00, 11.600 }, //1802.50 + { 2379591.50, 11.400 }, //1803.00 + { 2379774.00, 11.200 }, //1803.50 + { 2379956.50, 11.100 }, //1804.00 + { 2380139.50, 11.100 }, //1804.50 + { 2380322.50, 11.100 }, //1805.00 + { 2380505.00, 11.100 }, //1805.50 + { 2380687.50, 11.100 }, //1806.00 + { 2380870.00, 11.200 }, //1806.50 + { 2381052.50, 11.100 }, //1807.00 + { 2381235.00, 11.100 }, //1807.50 + { 2381417.50, 11.200 }, //1808.00 + { 2381600.50, 11.400 }, //1808.50 + { 2381783.50, 11.500 }, //1809.00 + { 2381966.00, 11.300 }, //1809.50 + { 2382148.50, 11.200 }, //1810.00 + { 2382331.00, 11.400 }, //1810.50 + { 2382513.50, 11.700 }, //1811.00 + { 2382696.00, 11.900 }, //1811.50 + { 2382878.50, 11.900 }, //1812.00 + { 2383061.50, 11.900 }, //1812.50 + { 2383244.50, 11.800 }, //1813.00 + { 2383427.00, 11.700 }, //1813.50 + { 2383609.50, 11.800 }, //1814.00 + { 2383792.00, 11.800 }, //1814.50 + { 2383974.50, 11.800 }, //1815.00 + { 2384157.00, 11.700 }, //1815.50 + { 2384339.50, 11.600 }, //1816.00 + { 2384522.50, 11.600 }, //1816.50 + { 2384705.50, 11.500 }, //1817.00 + { 2384888.00, 11.500 }, //1817.50 + { 2385070.50, 11.400 }, //1818.00 + { 2385253.00, 11.400 }, //1818.50 + { 2385435.50, 11.300 }, //1819.00 + { 2385618.00, 11.300 }, //1819.50 + { 2385800.50, 11.130 }, //1820.00 + { 2385983.50, 11.160 }, //1820.50 + { 2386166.50, 10.940 }, //1821.00 + { 2386349.00, 10.720 }, //1821.50 + { 2386531.50, 10.290 }, //1822.00 + { 2386714.00, 10.040 }, //1822.50 + { 2386896.50, 9.940 }, //1823.00 + { 2387079.00, 9.910 }, //1823.50 + { 2387261.50, 9.880 }, //1824.00 + { 2387444.50, 9.860 }, //1824.50 + { 2387627.50, 9.720 }, //1825.00 + { 2387810.00, 9.670 }, //1825.50 + { 2387992.50, 9.660 }, //1826.00 + { 2388175.00, 9.640 }, //1826.50 + { 2388357.50, 9.510 }, //1827.00 + { 2388540.00, 9.400 }, //1827.50 + { 2388722.50, 9.210 }, //1828.00 + { 2388905.50, 9.000 }, //1828.50 + { 2389088.50, 8.600 }, //1829.00 + { 2389271.00, 8.290 }, //1829.50 + { 2389453.50, 7.950 }, //1830.00 + { 2389636.00, 7.730 }, //1830.50 + { 2389818.50, 7.590 }, //1831.00 + { 2390001.00, 7.490 }, //1831.50 + { 2390183.50, 7.360 }, //1832.00 + { 2390366.50, 7.260 }, //1832.50 + { 2390549.50, 7.100 }, //1833.00 + { 2390732.00, 7.000 }, //1833.50 + { 2390914.50, 6.890 }, //1834.00 + { 2391097.00, 6.820 }, //1834.50 + { 2391279.50, 6.730 }, //1835.00 + { 2391462.00, 6.640 }, //1835.50 + { 2391644.50, 6.390 }, //1836.00 + { 2391827.50, 6.280 }, //1836.50 + { 2392010.50, 6.250 }, //1837.00 + { 2392193.00, 6.270 }, //1837.50 + { 2392375.50, 6.250 }, //1838.00 + { 2392558.00, 6.270 }, //1838.50 + { 2392740.50, 6.220 }, //1839.00 + { 2392923.00, 6.240 }, //1839.50 + { 2393105.50, 6.220 }, //1840.00 + { 2393288.50, 6.270 }, //1840.50 + { 2393471.50, 6.300 }, //1841.00 + { 2393654.00, 6.360 }, //1841.50 + { 2393836.50, 6.350 }, //1842.00 + { 2394019.00, 6.370 }, //1842.50 + { 2394201.50, 6.320 }, //1843.00 + { 2394384.00, 6.330 }, //1843.50 + { 2394566.50, 6.330 }, //1844.00 + { 2394749.50, 6.370 }, //1844.50 + { 2394932.50, 6.370 }, //1845.00 + { 2395115.00, 6.410 }, //1845.50 + { 2395297.50, 6.400 }, //1846.00 + { 2395480.00, 6.440 }, //1846.50 + { 2395662.50, 6.460 }, //1847.00 + { 2395845.00, 6.510 }, //1847.50 + { 2396027.50, 6.480 }, //1848.00 + { 2396210.50, 6.510 }, //1848.50 + { 2396393.50, 6.530 }, //1849.00 + { 2396576.00, 6.580 }, //1849.50 + { 2396758.50, 6.550 }, //1850.00 + { 2396941.00, 6.610 }, //1850.50 + { 2397123.50, 6.690 }, //1851.00 + { 2397306.00, 6.800 }, //1851.50 + { 2397488.50, 6.840 }, //1852.00 + { 2397671.50, 6.940 }, //1852.50 + { 2397854.50, 7.030 }, //1853.00 + { 2398037.00, 7.130 }, //1853.50 + { 2398219.50, 7.150 }, //1854.00 + { 2398402.00, 7.220 }, //1854.50 + { 2398584.50, 7.260 }, //1855.00 + { 2398767.00, 7.300 }, //1855.50 + { 2398949.50, 7.230 }, //1856.00 + { 2399132.50, 7.220 }, //1856.50 + { 2399315.50, 7.210 }, //1857.00 + { 2399498.00, 7.200 }, //1857.50 + { 2399680.50, 6.990 }, //1858.00 + { 2399863.00, 6.980 }, //1858.50 + { 2400045.50, 7.190 }, //1859.00 + { 2400228.00, 7.360 }, //1859.50 + { 2400410.50, 7.350 }, //1860.00 + { 2400593.50, 7.390 }, //1860.50 + { 2400776.50, 7.410 }, //1861.00 + { 2400959.00, 7.450 }, //1861.50 + { 2401141.50, 7.360 }, //1862.00 + { 2401324.00, 7.180 }, //1862.50 + { 2401506.50, 6.950 }, //1863.00 + { 2401689.00, 6.720 }, //1863.50 + { 2401871.50, 6.450 }, //1864.00 + { 2402054.50, 6.240 }, //1864.50 + { 2402237.50, 5.920 }, //1865.00 + { 2402420.00, 5.590 }, //1865.50 + { 2402602.50, 5.150 }, //1866.00 + { 2402785.00, 4.670 }, //1866.50 + { 2402967.50, 4.110 }, //1867.00 + { 2403150.00, 3.520 }, //1867.50 + { 2403332.50, 2.940 }, //1868.00 + { 2403515.50, 2.470 }, //1868.50 + { 2403698.50, 1.970 }, //1869.00 + { 2403881.00, 1.520 }, //1869.50 + { 2404063.50, 1.040 }, //1870.00 + { 2404246.00, 0.600 }, //1870.50 + { 2404428.50, 0.110 }, //1871.00 + { 2404611.00, -0.340 }, //1871.50 + { 2404793.50, -0.820 }, //1872.00 + { 2404976.50, -1.250 }, //1872.50 + { 2405159.50, -1.700 }, //1873.00 + { 2405342.00, -2.080 }, //1873.50 + { 2405524.50, -2.480 }, //1874.00 + { 2405707.00, -2.820 }, //1874.50 + { 2405889.50, -3.190 }, //1875.00 + { 2406072.00, -3.500 }, //1875.50 + { 2406254.50, -3.840 }, //1876.00 + { 2406437.50, -4.140 }, //1876.50 + { 2406620.50, -4.430 }, //1877.00 + { 2406803.00, -4.590 }, //1877.50 + { 2406985.50, -4.790 }, //1878.00 + { 2407168.00, -4.920 }, //1878.50 + { 2407350.50, -5.090 }, //1879.00 + { 2407533.00, -5.240 }, //1879.50 + { 2407715.50, -5.360 }, //1880.00 + { 2407898.50, -5.340 }, //1880.50 + { 2408081.50, -5.370 }, //1881.00 + { 2408264.00, -5.320 }, //1881.50 + { 2408446.50, -5.340 }, //1882.00 + { 2408629.00, -5.330 }, //1882.50 + { 2408811.50, -5.400 }, //1883.00 + { 2408994.00, -5.470 }, //1883.50 + { 2409176.50, -5.580 }, //1884.00 + { 2409359.50, -5.660 }, //1884.50 + { 2409542.50, -5.740 }, //1885.00 + { 2409725.00, -5.680 }, //1885.50 + { 2409907.50, -5.690 }, //1886.00 + { 2410090.00, -5.650 }, //1886.50 + { 2410272.50, -5.670 }, //1887.00 + { 2410455.00, -5.680 }, //1887.50 + { 2410637.50, -5.730 }, //1888.00 + { 2410820.50, -5.720 }, //1888.50 + { 2411003.50, -5.780 }, //1889.00 + { 2411186.00, -5.790 }, //1889.50 + { 2411368.50, -5.860 }, //1890.00 + { 2411551.00, -5.890 }, //1890.50 + { 2411733.50, -6.010 }, //1891.00 + { 2411916.00, -6.130 }, //1891.50 + { 2412098.50, -6.280 }, //1892.00 + { 2412281.50, -6.410 }, //1892.50 + { 2412464.50, -6.530 }, //1893.00 + { 2412647.00, -6.490 }, //1893.50 + { 2412829.50, -6.500 }, //1894.00 + { 2413012.00, -6.450 }, //1894.50 + { 2413194.50, -6.410 }, //1895.00 + { 2413377.00, -6.260 }, //1895.50 + { 2413559.50, -6.110 }, //1896.00 + { 2413742.50, -5.900 }, //1896.50 + { 2413925.50, -5.630 }, //1897.00 + { 2414108.00, -5.130 }, //1897.50 + { 2414290.50, -4.680 }, //1898.00 + { 2414473.00, -4.190 }, //1898.50 + { 2414655.50, -3.720 }, //1899.00 + { 2414838.00, -3.210 }, //1899.50 + { 2415020.50, -2.700 }, //1900.00 + { 2415203.00, -2.090 }, //1900.50 + { 2415385.50, -1.480 }, //1901.00 + { 2415568.00, -0.750 }, //1901.50 + { 2415750.50, -0.080 }, //1902.00 + { 2415933.00, 0.620 }, //1902.50 + { 2416115.50, 1.260 }, //1903.00 + { 2416298.00, 1.950 }, //1903.50 + { 2416480.50, 2.590 }, //1904.00 + { 2416663.50, 3.280 }, //1904.50 + { 2416846.50, 3.920 }, //1905.00 + { 2417029.00, 4.610 }, //1905.50 + { 2417211.50, 5.200 }, //1906.00 + { 2417394.00, 5.730 }, //1906.50 + { 2417576.50, 6.290 }, //1907.00 + { 2417759.00, 7.000 }, //1907.50 + { 2417941.50, 7.680 }, //1908.00 + { 2418124.50, 8.450 }, //1908.50 + { 2418307.50, 9.130 }, //1909.00 + { 2418490.00, 9.780 }, //1909.50 + { 2418672.50, 10.380 }, //1910.00 + { 2418855.00, 10.990 }, //1910.50 + { 2419037.50, 11.640 }, //1911.00 + { 2419220.00, 12.470 }, //1911.50 + { 2419402.50, 13.230 }, //1912.00 + { 2419585.50, 14.000 }, //1912.50 + { 2419768.50, 14.690 }, //1913.00 + { 2419951.00, 15.380 }, //1913.50 + { 2420133.50, 16.000 }, //1914.00 + { 2420316.00, 16.640 }, //1914.50 + { 2420498.50, 17.190 }, //1915.00 + { 2420681.00, 17.720 }, //1915.50 + { 2420863.50, 18.190 }, //1916.00 + { 2421046.50, 18.670 }, //1916.50 + { 2421229.50, 19.130 }, //1917.00 + { 2421412.00, 19.690 }, //1917.50 + { 2421594.50, 20.140 }, //1918.00 + { 2421777.00, 20.540 }, //1918.50 + { 2421959.50, 20.860 }, //1919.00 + { 2422142.00, 21.140 }, //1919.50 + { 2422324.50, 21.410 }, //1920.00 + { 2422507.50, 21.780 }, //1920.50 + { 2422690.50, 22.060 }, //1921.00 + { 2422873.00, 22.300 }, //1921.50 + { 2423055.50, 22.510 }, //1922.00 + { 2423238.00, 22.790 }, //1922.50 + { 2423420.50, 23.010 }, //1923.00 + { 2423603.00, 23.290 }, //1923.50 + { 2423785.50, 23.460 }, //1924.00 + { 2423968.50, 23.550 }, //1924.50 + { 2424151.50, 23.630 }, //1925.00 + { 2424334.00, 23.800 }, //1925.50 + { 2424516.50, 23.950 }, //1926.00 + { 2424699.00, 24.250 }, //1926.50 + { 2424881.50, 24.390 }, //1927.00 + { 2425064.00, 24.420 }, //1927.50 + { 2425246.50, 24.340 }, //1928.00 + { 2425429.50, 24.220 }, //1928.50 + { 2425612.50, 24.100 }, //1929.00 + { 2425795.00, 24.080 }, //1929.50 + { 2425977.50, 24.020 }, //1930.00 + { 2426160.00, 24.040 }, //1930.50 + { 2426342.50, 23.980 }, //1931.00 + { 2426525.00, 23.910 }, //1931.50 + { 2426707.50, 23.890 }, //1932.00 + { 2426890.50, 23.950 }, //1932.50 + { 2427073.50, 23.930 }, //1933.00 + { 2427256.00, 23.920 }, //1933.50 + { 2427438.50, 23.880 }, //1934.00 + { 2427621.00, 23.940 }, //1934.50 + { 2427803.50, 23.910 }, //1935.00 + { 2427986.00, 23.820 }, //1935.50 + { 2428168.50, 23.760 }, //1936.00 + { 2428351.50, 23.870 }, //1936.50 + { 2428534.50, 23.910 }, //1937.00 + { 2428717.00, 23.950 }, //1937.50 + { 2428899.50, 23.960 }, //1938.00 + { 2429082.00, 24.000 }, //1938.50 + { 2429264.50, 24.040 }, //1939.00 + { 2429447.00, 24.200 }, //1939.50 + { 2429629.50, 24.350 }, //1940.00 + { 2429812.50, 24.610 }, //1940.50 + { 2429995.50, 24.820 }, //1941.00 + { 2430178.00, 25.090 }, //1941.50 + { 2430360.50, 25.300 }, //1942.00 + { 2430543.00, 25.560 }, //1942.50 + { 2430725.50, 25.770 }, //1943.00 + { 2430908.00, 26.050 }, //1943.50 + { 2431090.50, 26.270 }, //1944.00 + { 2431273.50, 26.540 }, //1944.50 + { 2431456.50, 26.760 }, //1945.00 + { 2431639.00, 27.040 }, //1945.50 + { 2431821.50, 27.270 }, //1946.00 + { 2432004.00, 27.550 }, //1946.50 + { 2432186.50, 27.770 }, //1947.00 + { 2432369.00, 28.030 }, //1947.50 + { 2432551.50, 28.250 }, //1948.00 + { 2432734.50, 28.500 }, //1948.50 + { 2432917.50, 28.700 }, //1949.00 + { 2433100.00, 28.950 }, //1949.50 + { 2433282.50, 29.150 }, //1950.00 + { 2433465.00, 29.380 }, //1950.50 + { 2433647.50, 29.570 }, //1951.00 + { 2433830.00, 29.800 }, //1951.50 + { 2434012.50, 29.970 }, //1952.00 + { 2434195.50, 30.190 }, //1952.50 + { 2434378.50, 30.360 }, //1953.00 + { 2434561.00, 30.570 }, //1953.50 + { 2434743.50, 30.720 }, //1954.00 + { 2434926.00, 30.930 }, //1954.50 + { 2435108.50, 31.070 }, //1955.00 + { 2435291.00, 31.240 }, //1955.50 + { 2435473.50, 31.349 }, //1956.00 + { 2435656.50, 31.516 }, //1956.50 + { 2435839.50, 31.677 }, //1957.00 + { 2436022.00, 31.923 }, //1957.50 + { 2436204.50, 32.166 }, //1958.00 + { 2436387.00, 32.449 }, //1958.50 + { 2436569.50, 32.671 }, //1959.00 + { 2436752.00, 32.919 }, //1959.50 + { 2436934.50, 33.150 }, //1960.00 + { 2437117.50, 33.397 }, //1960.50 + { 2437300.50, 33.584 }, //1961.00 + { 2437483.00, 33.804 }, //1961.50 + { 2437665.50, 33.992 }, //1962.00 + { 2437848.00, 34.240 }, //1962.50 + { 2438030.50, 34.466 }, //1963.00 + { 2438213.00, 34.731 }, //1963.50 + { 2438395.50, 35.030 }, //1964.00 + { 2438578.50, 35.400 }, //1964.50 + { 2438761.50, 35.738 }, //1965.00 + { 2438944.00, 36.147 }, //1965.50 + { 2439126.50, 36.546 }, //1966.00 + { 2439309.00, 36.995 }, //1966.50 + { 2439491.50, 37.429 }, //1967.00 + { 2439674.00, 37.879 }, //1967.50 + { 2439856.50, 38.291 }, //1968.00 + { 2440039.50, 38.753 }, //1968.50 + { 2440222.50, 39.204 }, //1969.00 + { 2440405.00, 39.707 }, //1969.50 + { 2440587.50, 40.182 }, //1970.00 + { 2440770.00, 40.706 }, //1970.50 + { 2440952.50, 41.170 }, //1971.00 + { 2441135.00, 41.686 }, //1971.50 + { 2441317.50, 42.227 }, //1972.00 + { 2441500.50, 42.825 }, //1972.50 + +//Values from https://cddis.nasa.gov/archive/products/iers/finals2000A.all + { 2441684.50, 43.375582 }, //02 January 1973, UT1-UTC= 0.8084178, Accumulated Leap Seconds=12 + { 2441685.50, 43.378384 }, //03 January 1973, UT1-UTC= 0.8056163, Accumulated Leap Seconds=12 + { 2441686.50, 43.381210 }, //04 January 1973, UT1-UTC= 0.8027895, Accumulated Leap Seconds=12 + { 2441687.50, 43.384127 }, //05 January 1973, UT1-UTC= 0.7998729, Accumulated Leap Seconds=12 + { 2441688.50, 43.387186 }, //06 January 1973, UT1-UTC= 0.7968144, Accumulated Leap Seconds=12 + { 2441689.50, 43.390418 }, //07 January 1973, UT1-UTC= 0.7935822, Accumulated Leap Seconds=12 + { 2441690.50, 43.393829 }, //08 January 1973, UT1-UTC= 0.7901710, Accumulated Leap Seconds=12 + { 2441691.50, 43.397395 }, //09 January 1973, UT1-UTC= 0.7866053, Accumulated Leap Seconds=12 + { 2441692.50, 43.401061 }, //10 January 1973, UT1-UTC= 0.7829389, Accumulated Leap Seconds=12 + { 2441693.50, 43.404751 }, //11 January 1973, UT1-UTC= 0.7792487, Accumulated Leap Seconds=12 + { 2441694.50, 43.408378 }, //12 January 1973, UT1-UTC= 0.7756218, Accumulated Leap Seconds=12 + { 2441695.50, 43.411864 }, //13 January 1973, UT1-UTC= 0.7721359, Accumulated Leap Seconds=12 + { 2441696.50, 43.415162 }, //14 January 1973, UT1-UTC= 0.7688378, Accumulated Leap Seconds=12 + { 2441697.50, 43.418276 }, //15 January 1973, UT1-UTC= 0.7657235, Accumulated Leap Seconds=12 + { 2441698.50, 43.421267 }, //16 January 1973, UT1-UTC= 0.7627325, Accumulated Leap Seconds=12 + { 2441699.50, 43.424239 }, //17 January 1973, UT1-UTC= 0.7597608, Accumulated Leap Seconds=12 + { 2441700.50, 43.427307 }, //18 January 1973, UT1-UTC= 0.7566931, Accumulated Leap Seconds=12 + { 2441701.50, 43.430556 }, //19 January 1973, UT1-UTC= 0.7534441, Accumulated Leap Seconds=12 + { 2441702.50, 43.434012 }, //20 January 1973, UT1-UTC= 0.7499880, Accumulated Leap Seconds=12 + { 2441703.50, 43.437635 }, //21 January 1973, UT1-UTC= 0.7463651, Accumulated Leap Seconds=12 + { 2441704.50, 43.441338 }, //22 January 1973, UT1-UTC= 0.7426621, Accumulated Leap Seconds=12 + { 2441705.50, 43.445021 }, //23 January 1973, UT1-UTC= 0.7389789, Accumulated Leap Seconds=12 + { 2441706.50, 43.448600 }, //24 January 1973, UT1-UTC= 0.7353998, Accumulated Leap Seconds=12 + { 2441707.50, 43.452022 }, //25 January 1973, UT1-UTC= 0.7319778, Accumulated Leap Seconds=12 + { 2441708.50, 43.455265 }, //26 January 1973, UT1-UTC= 0.7287348, Accumulated Leap Seconds=12 + { 2441709.50, 43.458333 }, //27 January 1973, UT1-UTC= 0.7256670, Accumulated Leap Seconds=12 + { 2441710.50, 43.461250 }, //28 January 1973, UT1-UTC= 0.7227502, Accumulated Leap Seconds=12 + { 2441711.50, 43.464057 }, //29 January 1973, UT1-UTC= 0.7199427, Accumulated Leap Seconds=12 + { 2441712.50, 43.466813 }, //30 January 1973, UT1-UTC= 0.7171871, Accumulated Leap Seconds=12 + { 2441713.50, 43.469583 }, //31 January 1973, UT1-UTC= 0.7144166, Accumulated Leap Seconds=12 + { 2441714.50, 43.472437 }, //01 February 1973, UT1-UTC= 0.7115628, Accumulated Leap Seconds=12 + { 2441715.50, 43.475434 }, //02 February 1973, UT1-UTC= 0.7085656, Accumulated Leap Seconds=12 + { 2441716.50, 43.478617 }, //03 February 1973, UT1-UTC= 0.7053831, Accumulated Leap Seconds=12 + { 2441717.50, 43.482000 }, //04 February 1973, UT1-UTC= 0.7020005, Accumulated Leap Seconds=12 + { 2441718.50, 43.485563 }, //05 February 1973, UT1-UTC= 0.6984370, Accumulated Leap Seconds=12 + { 2441719.50, 43.489253 }, //06 February 1973, UT1-UTC= 0.6947473, Accumulated Leap Seconds=12 + { 2441720.50, 43.492985 }, //07 February 1973, UT1-UTC= 0.6910149, Accumulated Leap Seconds=12 + { 2441721.50, 43.496665 }, //08 February 1973, UT1-UTC= 0.6873348, Accumulated Leap Seconds=12 + { 2441722.50, 43.500209 }, //09 February 1973, UT1-UTC= 0.6837911, Accumulated Leap Seconds=12 + { 2441723.50, 43.503565 }, //10 February 1973, UT1-UTC= 0.6804349, Accumulated Leap Seconds=12 + { 2441724.50, 43.506731 }, //11 February 1973, UT1-UTC= 0.6772686, Accumulated Leap Seconds=12 + { 2441725.50, 43.509757 }, //12 February 1973, UT1-UTC= 0.6742427, Accumulated Leap Seconds=12 + { 2441726.50, 43.512733 }, //13 February 1973, UT1-UTC= 0.6712667, Accumulated Leap Seconds=12 + { 2441727.50, 43.515767 }, //14 February 1973, UT1-UTC= 0.6682328, Accumulated Leap Seconds=12 + { 2441728.50, 43.518953 }, //15 February 1973, UT1-UTC= 0.6650466, Accumulated Leap Seconds=12 + { 2441729.50, 43.522343 }, //16 February 1973, UT1-UTC= 0.6616571, Accumulated Leap Seconds=12 + { 2441730.50, 43.525928 }, //17 February 1973, UT1-UTC= 0.6580719, Accumulated Leap Seconds=12 + { 2441731.50, 43.529646 }, //18 February 1973, UT1-UTC= 0.6543535, Accumulated Leap Seconds=12 + { 2441732.50, 43.533403 }, //19 February 1973, UT1-UTC= 0.6505970, Accumulated Leap Seconds=12 + { 2441733.50, 43.537100 }, //20 February 1973, UT1-UTC= 0.6468995, Accumulated Leap Seconds=12 + { 2441734.50, 43.540664 }, //21 February 1973, UT1-UTC= 0.6433358, Accumulated Leap Seconds=12 + { 2441735.50, 43.544053 }, //22 February 1973, UT1-UTC= 0.6399465, Accumulated Leap Seconds=12 + { 2441736.50, 43.547261 }, //23 February 1973, UT1-UTC= 0.6367394, Accumulated Leap Seconds=12 + { 2441737.50, 43.550304 }, //24 February 1973, UT1-UTC= 0.6336961, Accumulated Leap Seconds=12 + { 2441738.50, 43.553222 }, //25 February 1973, UT1-UTC= 0.6307782, Accumulated Leap Seconds=12 + { 2441739.50, 43.556068 }, //26 February 1973, UT1-UTC= 0.6279321, Accumulated Leap Seconds=12 + { 2441740.50, 43.558907 }, //27 February 1973, UT1-UTC= 0.6250933, Accumulated Leap Seconds=12 + { 2441741.50, 43.561807 }, //28 February 1973, UT1-UTC= 0.6221928, Accumulated Leap Seconds=12 + { 2441742.50, 43.564835 }, //01 March 1973, UT1-UTC= 0.6191649, Accumulated Leap Seconds=12 + { 2441743.50, 43.568043 }, //02 March 1973, UT1-UTC= 0.6159565, Accumulated Leap Seconds=12 + { 2441744.50, 43.571464 }, //03 March 1973, UT1-UTC= 0.6125364, Accumulated Leap Seconds=12 + { 2441745.50, 43.575094 }, //04 March 1973, UT1-UTC= 0.6089055, Accumulated Leap Seconds=12 + { 2441746.50, 43.578896 }, //05 March 1973, UT1-UTC= 0.6051039, Accumulated Leap Seconds=12 + { 2441747.50, 43.582790 }, //06 March 1973, UT1-UTC= 0.6012100, Accumulated Leap Seconds=12 + { 2441748.50, 43.586673 }, //07 March 1973, UT1-UTC= 0.5973269, Accumulated Leap Seconds=12 + { 2441749.50, 43.590443 }, //08 March 1973, UT1-UTC= 0.5935565, Accumulated Leap Seconds=12 + { 2441750.50, 43.594031 }, //09 March 1973, UT1-UTC= 0.5899692, Accumulated Leap Seconds=12 + { 2441751.50, 43.597418 }, //10 March 1973, UT1-UTC= 0.5865821, Accumulated Leap Seconds=12 + { 2441752.50, 43.600646 }, //11 March 1973, UT1-UTC= 0.5833541, Accumulated Leap Seconds=12 + { 2441753.50, 43.603801 }, //12 March 1973, UT1-UTC= 0.5801992, Accumulated Leap Seconds=12 + { 2441754.50, 43.606988 }, //13 March 1973, UT1-UTC= 0.5770120, Accumulated Leap Seconds=12 + { 2441755.50, 43.610303 }, //14 March 1973, UT1-UTC= 0.5736970, Accumulated Leap Seconds=12 + { 2441756.50, 43.613807 }, //15 March 1973, UT1-UTC= 0.5701931, Accumulated Leap Seconds=12 + { 2441757.50, 43.617511 }, //16 March 1973, UT1-UTC= 0.5664886, Accumulated Leap Seconds=12 + { 2441758.50, 43.621378 }, //17 March 1973, UT1-UTC= 0.5626220, Accumulated Leap Seconds=12 + { 2441759.50, 43.625330 }, //18 March 1973, UT1-UTC= 0.5586697, Accumulated Leap Seconds=12 + { 2441760.50, 43.629275 }, //19 March 1973, UT1-UTC= 0.5547245, Accumulated Leap Seconds=12 + { 2441761.50, 43.633128 }, //20 March 1973, UT1-UTC= 0.5508716, Accumulated Leap Seconds=12 + { 2441762.50, 43.636829 }, //21 March 1973, UT1-UTC= 0.5471712, Accumulated Leap Seconds=12 + { 2441763.50, 43.640350 }, //22 March 1973, UT1-UTC= 0.5436500, Accumulated Leap Seconds=12 + { 2441764.50, 43.643696 }, //23 March 1973, UT1-UTC= 0.5403039, Accumulated Leap Seconds=12 + { 2441765.50, 43.646897 }, //24 March 1973, UT1-UTC= 0.5371033, Accumulated Leap Seconds=12 + { 2441766.50, 43.649999 }, //25 March 1973, UT1-UTC= 0.5340013, Accumulated Leap Seconds=12 + { 2441767.50, 43.653060 }, //26 March 1973, UT1-UTC= 0.5309397, Accumulated Leap Seconds=12 + { 2441768.50, 43.656145 }, //27 March 1973, UT1-UTC= 0.5278547, Accumulated Leap Seconds=12 + { 2441769.50, 43.659316 }, //28 March 1973, UT1-UTC= 0.5246836, Accumulated Leap Seconds=12 + { 2441770.50, 43.662628 }, //29 March 1973, UT1-UTC= 0.5213715, Accumulated Leap Seconds=12 + { 2441771.50, 43.666122 }, //30 March 1973, UT1-UTC= 0.5178783, Accumulated Leap Seconds=12 + { 2441772.50, 43.669813 }, //31 March 1973, UT1-UTC= 0.5141868, Accumulated Leap Seconds=12 + { 2441773.50, 43.673686 }, //01 April 1973, UT1-UTC= 0.5103137, Accumulated Leap Seconds=12 + { 2441774.50, 43.677684 }, //02 April 1973, UT1-UTC= 0.5063163, Accumulated Leap Seconds=12 + { 2441775.50, 43.681711 }, //03 April 1973, UT1-UTC= 0.5022885, Accumulated Leap Seconds=12 + { 2441776.50, 43.685659 }, //04 April 1973, UT1-UTC= 0.4983412, Accumulated Leap Seconds=12 + { 2441777.50, 43.689430 }, //05 April 1973, UT1-UTC= 0.4945702, Accumulated Leap Seconds=12 + { 2441778.50, 43.692977 }, //06 April 1973, UT1-UTC= 0.4910225, Accumulated Leap Seconds=12 + { 2441779.50, 43.696320 }, //07 April 1973, UT1-UTC= 0.4876799, Accumulated Leap Seconds=12 + { 2441780.50, 43.699535 }, //08 April 1973, UT1-UTC= 0.4844647, Accumulated Leap Seconds=12 + { 2441781.50, 43.702730 }, //09 April 1973, UT1-UTC= 0.4812696, Accumulated Leap Seconds=12 + { 2441782.50, 43.706007 }, //10 April 1973, UT1-UTC= 0.4779933, Accumulated Leap Seconds=12 + { 2441783.50, 43.709431 }, //11 April 1973, UT1-UTC= 0.4745689, Accumulated Leap Seconds=12 + { 2441784.50, 43.713022 }, //12 April 1973, UT1-UTC= 0.4709778, Accumulated Leap Seconds=12 + { 2441785.50, 43.716753 }, //13 April 1973, UT1-UTC= 0.4672468, Accumulated Leap Seconds=12 + { 2441786.50, 43.720564 }, //14 April 1973, UT1-UTC= 0.4634359, Accumulated Leap Seconds=12 + { 2441787.50, 43.724378 }, //15 April 1973, UT1-UTC= 0.4596221, Accumulated Leap Seconds=12 + { 2441788.50, 43.728118 }, //16 April 1973, UT1-UTC= 0.4558821, Accumulated Leap Seconds=12 + { 2441789.50, 43.731722 }, //17 April 1973, UT1-UTC= 0.4522776, Accumulated Leap Seconds=12 + { 2441790.50, 43.735155 }, //18 April 1973, UT1-UTC= 0.4488449, Accumulated Leap Seconds=12 + { 2441791.50, 43.738409 }, //19 April 1973, UT1-UTC= 0.4455907, Accumulated Leap Seconds=12 + { 2441792.50, 43.741506 }, //20 April 1973, UT1-UTC= 0.4424939, Accumulated Leap Seconds=12 + { 2441793.50, 43.744488 }, //21 April 1973, UT1-UTC= 0.4395122, Accumulated Leap Seconds=12 + { 2441794.50, 43.747410 }, //22 April 1973, UT1-UTC= 0.4365897, Accumulated Leap Seconds=12 + { 2441795.50, 43.750335 }, //23 April 1973, UT1-UTC= 0.4336648, Accumulated Leap Seconds=12 + { 2441796.50, 43.753323 }, //24 April 1973, UT1-UTC= 0.4306768, Accumulated Leap Seconds=12 + { 2441797.50, 43.756427 }, //25 April 1973, UT1-UTC= 0.4275726, Accumulated Leap Seconds=12 + { 2441798.50, 43.759689 }, //26 April 1973, UT1-UTC= 0.4243110, Accumulated Leap Seconds=12 + { 2441799.50, 43.763132 }, //27 April 1973, UT1-UTC= 0.4208678, Accumulated Leap Seconds=12 + { 2441800.50, 43.766757 }, //28 April 1973, UT1-UTC= 0.4172431, Accumulated Leap Seconds=12 + { 2441801.50, 43.770530 }, //29 April 1973, UT1-UTC= 0.4134697, Accumulated Leap Seconds=12 + { 2441802.50, 43.774383 }, //30 April 1973, UT1-UTC= 0.4096171, Accumulated Leap Seconds=12 + { 2441803.50, 43.778216 }, //01 May 1973, UT1-UTC= 0.4057844, Accumulated Leap Seconds=12 + { 2441804.50, 43.781924 }, //02 May 1973, UT1-UTC= 0.4020762, Accumulated Leap Seconds=12 + { 2441805.50, 43.785431 }, //03 May 1973, UT1-UTC= 0.3985685, Accumulated Leap Seconds=12 + { 2441806.50, 43.788722 }, //04 May 1973, UT1-UTC= 0.3952777, Accumulated Leap Seconds=12 + { 2441807.50, 43.791849 }, //05 May 1973, UT1-UTC= 0.3921511, Accumulated Leap Seconds=12 + { 2441808.50, 43.794914 }, //06 May 1973, UT1-UTC= 0.3890860, Accumulated Leap Seconds=12 + { 2441809.50, 43.798030 }, //07 May 1973, UT1-UTC= 0.3859701, Accumulated Leap Seconds=12 + { 2441810.50, 43.801278 }, //08 May 1973, UT1-UTC= 0.3827218, Accumulated Leap Seconds=12 + { 2441811.50, 43.804686 }, //09 May 1973, UT1-UTC= 0.3793140, Accumulated Leap Seconds=12 + { 2441812.50, 43.808226 }, //10 May 1973, UT1-UTC= 0.3757735, Accumulated Leap Seconds=12 + { 2441813.50, 43.811837 }, //11 May 1973, UT1-UTC= 0.3721634, Accumulated Leap Seconds=12 + { 2441814.50, 43.815440 }, //12 May 1973, UT1-UTC= 0.3685599, Accumulated Leap Seconds=12 + { 2441815.50, 43.818965 }, //13 May 1973, UT1-UTC= 0.3650348, Accumulated Leap Seconds=12 + { 2441816.50, 43.822355 }, //14 May 1973, UT1-UTC= 0.3616450, Accumulated Leap Seconds=12 + { 2441817.50, 43.825573 }, //15 May 1973, UT1-UTC= 0.3584266, Accumulated Leap Seconds=12 + { 2441818.50, 43.828608 }, //16 May 1973, UT1-UTC= 0.3553922, Accumulated Leap Seconds=12 + { 2441819.50, 43.831470 }, //17 May 1973, UT1-UTC= 0.3525297, Accumulated Leap Seconds=12 + { 2441820.50, 43.834196 }, //18 May 1973, UT1-UTC= 0.3498042, Accumulated Leap Seconds=12 + { 2441821.50, 43.836836 }, //19 May 1973, UT1-UTC= 0.3471638, Accumulated Leap Seconds=12 + { 2441822.50, 43.839452 }, //20 May 1973, UT1-UTC= 0.3445481, Accumulated Leap Seconds=12 + { 2441823.50, 43.842103 }, //21 May 1973, UT1-UTC= 0.3418967, Accumulated Leap Seconds=12 + { 2441824.50, 43.844843 }, //22 May 1973, UT1-UTC= 0.3391570, Accumulated Leap Seconds=12 + { 2441825.50, 43.847711 }, //23 May 1973, UT1-UTC= 0.3362893, Accumulated Leap Seconds=12 + { 2441826.50, 43.850730 }, //24 May 1973, UT1-UTC= 0.3332699, Accumulated Leap Seconds=12 + { 2441827.50, 43.853906 }, //25 May 1973, UT1-UTC= 0.3300944, Accumulated Leap Seconds=12 + { 2441828.50, 43.857218 }, //26 May 1973, UT1-UTC= 0.3267817, Accumulated Leap Seconds=12 + { 2441829.50, 43.860621 }, //27 May 1973, UT1-UTC= 0.3233789, Accumulated Leap Seconds=12 + { 2441830.50, 43.864039 }, //28 May 1973, UT1-UTC= 0.3199611, Accumulated Leap Seconds=12 + { 2441831.50, 43.867380 }, //29 May 1973, UT1-UTC= 0.3166201, Accumulated Leap Seconds=12 + { 2441832.50, 43.870560 }, //30 May 1973, UT1-UTC= 0.3134398, Accumulated Leap Seconds=12 + { 2441833.50, 43.873536 }, //31 May 1973, UT1-UTC= 0.3104640, Accumulated Leap Seconds=12 + { 2441834.50, 43.876327 }, //01 June 1973, UT1-UTC= 0.3076727, Accumulated Leap Seconds=12 + { 2441835.50, 43.879016 }, //02 June 1973, UT1-UTC= 0.3049837, Accumulated Leap Seconds=12 + { 2441836.50, 43.881719 }, //03 June 1973, UT1-UTC= 0.3022809, Accumulated Leap Seconds=12 + { 2441837.50, 43.884539 }, //04 June 1973, UT1-UTC= 0.2994605, Accumulated Leap Seconds=12 + { 2441838.50, 43.887529 }, //05 June 1973, UT1-UTC= 0.2964705, Accumulated Leap Seconds=12 + { 2441839.50, 43.890675 }, //06 June 1973, UT1-UTC= 0.2933252, Accumulated Leap Seconds=12 + { 2441840.50, 43.893909 }, //07 June 1973, UT1-UTC= 0.2900913, Accumulated Leap Seconds=12 + { 2441841.50, 43.897142 }, //08 June 1973, UT1-UTC= 0.2868582, Accumulated Leap Seconds=12 + { 2441842.50, 43.900291 }, //09 June 1973, UT1-UTC= 0.2837086, Accumulated Leap Seconds=12 + { 2441843.50, 43.903298 }, //10 June 1973, UT1-UTC= 0.2807024, Accumulated Leap Seconds=12 + { 2441844.50, 43.906127 }, //11 June 1973, UT1-UTC= 0.2778733, Accumulated Leap Seconds=12 + { 2441845.50, 43.908768 }, //12 June 1973, UT1-UTC= 0.2752317, Accumulated Leap Seconds=12 + { 2441846.50, 43.911233 }, //13 June 1973, UT1-UTC= 0.2727668, Accumulated Leap Seconds=12 + { 2441847.50, 43.913552 }, //14 June 1973, UT1-UTC= 0.2704483, Accumulated Leap Seconds=12 + { 2441848.50, 43.915771 }, //15 June 1973, UT1-UTC= 0.2682287, Accumulated Leap Seconds=12 + { 2441849.50, 43.917951 }, //16 June 1973, UT1-UTC= 0.2660491, Accumulated Leap Seconds=12 + { 2441850.50, 43.920152 }, //17 June 1973, UT1-UTC= 0.2638477, Accumulated Leap Seconds=12 + { 2441851.50, 43.922430 }, //18 June 1973, UT1-UTC= 0.2615698, Accumulated Leap Seconds=12 + { 2441852.50, 43.924826 }, //19 June 1973, UT1-UTC= 0.2591741, Accumulated Leap Seconds=12 + { 2441853.50, 43.927363 }, //20 June 1973, UT1-UTC= 0.2566369, Accumulated Leap Seconds=12 + { 2441854.50, 43.930045 }, //21 June 1973, UT1-UTC= 0.2539551, Accumulated Leap Seconds=12 + { 2441855.50, 43.932854 }, //22 June 1973, UT1-UTC= 0.2511461, Accumulated Leap Seconds=12 + { 2441856.50, 43.935751 }, //23 June 1973, UT1-UTC= 0.2482491, Accumulated Leap Seconds=12 + { 2441857.50, 43.938677 }, //24 June 1973, UT1-UTC= 0.2453232, Accumulated Leap Seconds=12 + { 2441858.50, 43.941557 }, //25 June 1973, UT1-UTC= 0.2424429, Accumulated Leap Seconds=12 + { 2441859.50, 43.944317 }, //26 June 1973, UT1-UTC= 0.2396828, Accumulated Leap Seconds=12 + { 2441860.50, 43.946906 }, //27 June 1973, UT1-UTC= 0.2370944, Accumulated Leap Seconds=12 + { 2441861.50, 43.949318 }, //28 June 1973, UT1-UTC= 0.2346823, Accumulated Leap Seconds=12 + { 2441862.50, 43.951608 }, //29 June 1973, UT1-UTC= 0.2323922, Accumulated Leap Seconds=12 + { 2441863.50, 43.953878 }, //30 June 1973, UT1-UTC= 0.2301216, Accumulated Leap Seconds=12 + { 2441864.50, 43.956244 }, //01 July 1973, UT1-UTC= 0.2277557, Accumulated Leap Seconds=12 + { 2441865.50, 43.958788 }, //02 July 1973, UT1-UTC= 0.2252119, Accumulated Leap Seconds=12 + { 2441866.50, 43.961527 }, //03 July 1973, UT1-UTC= 0.2224729, Accumulated Leap Seconds=12 + { 2441867.50, 43.964410 }, //04 July 1973, UT1-UTC= 0.2195902, Accumulated Leap Seconds=12 + { 2441868.50, 43.967339 }, //05 July 1973, UT1-UTC= 0.2166607, Accumulated Leap Seconds=12 + { 2441869.50, 43.970211 }, //06 July 1973, UT1-UTC= 0.2137885, Accumulated Leap Seconds=12 + { 2441870.50, 43.972945 }, //07 July 1973, UT1-UTC= 0.2110549, Accumulated Leap Seconds=12 + { 2441871.50, 43.975495 }, //08 July 1973, UT1-UTC= 0.2085047, Accumulated Leap Seconds=12 + { 2441872.50, 43.977851 }, //09 July 1973, UT1-UTC= 0.2061493, Accumulated Leap Seconds=12 + { 2441873.50, 43.980025 }, //10 July 1973, UT1-UTC= 0.2039750, Accumulated Leap Seconds=12 + { 2441874.50, 43.982050 }, //11 July 1973, UT1-UTC= 0.2019501, Accumulated Leap Seconds=12 + { 2441875.50, 43.983971 }, //12 July 1973, UT1-UTC= 0.2000285, Accumulated Leap Seconds=12 + { 2441876.50, 43.985848 }, //13 July 1973, UT1-UTC= 0.1981521, Accumulated Leap Seconds=12 + { 2441877.50, 43.987742 }, //14 July 1973, UT1-UTC= 0.1962575, Accumulated Leap Seconds=12 + { 2441878.50, 43.989716 }, //15 July 1973, UT1-UTC= 0.1942844, Accumulated Leap Seconds=12 + { 2441879.50, 43.991815 }, //16 July 1973, UT1-UTC= 0.1921851, Accumulated Leap Seconds=12 + { 2441880.50, 43.994069 }, //17 July 1973, UT1-UTC= 0.1899311, Accumulated Leap Seconds=12 + { 2441881.50, 43.996483 }, //18 July 1973, UT1-UTC= 0.1875170, Accumulated Leap Seconds=12 + { 2441882.50, 43.999039 }, //19 July 1973, UT1-UTC= 0.1849610, Accumulated Leap Seconds=12 + { 2441883.50, 44.001696 }, //20 July 1973, UT1-UTC= 0.1823037, Accumulated Leap Seconds=12 + { 2441884.50, 44.004396 }, //21 July 1973, UT1-UTC= 0.1796035, Accumulated Leap Seconds=12 + { 2441885.50, 44.007071 }, //22 July 1973, UT1-UTC= 0.1769293, Accumulated Leap Seconds=12 + { 2441886.50, 44.009652 }, //23 July 1973, UT1-UTC= 0.1743483, Accumulated Leap Seconds=12 + { 2441887.50, 44.012090 }, //24 July 1973, UT1-UTC= 0.1719096, Accumulated Leap Seconds=12 + { 2441888.50, 44.014373 }, //25 July 1973, UT1-UTC= 0.1696270, Accumulated Leap Seconds=12 + { 2441889.50, 44.016534 }, //26 July 1973, UT1-UTC= 0.1674656, Accumulated Leap Seconds=12 + { 2441890.50, 44.018657 }, //27 July 1973, UT1-UTC= 0.1653434, Accumulated Leap Seconds=12 + { 2441891.50, 44.020849 }, //28 July 1973, UT1-UTC= 0.1631514, Accumulated Leap Seconds=12 + { 2441892.50, 44.023210 }, //29 July 1973, UT1-UTC= 0.1607898, Accumulated Leap Seconds=12 + { 2441893.50, 44.025793 }, //30 July 1973, UT1-UTC= 0.1582066, Accumulated Leap Seconds=12 + { 2441894.50, 44.028582 }, //31 July 1973, UT1-UTC= 0.1554181, Accumulated Leap Seconds=12 + { 2441895.50, 44.031496 }, //01 August 1973, UT1-UTC= 0.1525044, Accumulated Leap Seconds=12 + { 2441896.50, 44.034422 }, //02 August 1973, UT1-UTC= 0.1495778, Accumulated Leap Seconds=12 + { 2441897.50, 44.037255 }, //03 August 1973, UT1-UTC= 0.1467448, Accumulated Leap Seconds=12 + { 2441898.50, 44.039922 }, //04 August 1973, UT1-UTC= 0.1440777, Accumulated Leap Seconds=12 + { 2441899.50, 44.042395 }, //05 August 1973, UT1-UTC= 0.1416050, Accumulated Leap Seconds=12 + { 2441900.50, 44.044681 }, //06 August 1973, UT1-UTC= 0.1393192, Accumulated Leap Seconds=12 + { 2441901.50, 44.046812 }, //07 August 1973, UT1-UTC= 0.1371881, Accumulated Leap Seconds=12 + { 2441902.50, 44.048835 }, //08 August 1973, UT1-UTC= 0.1351648, Accumulated Leap Seconds=12 + { 2441903.50, 44.050808 }, //09 August 1973, UT1-UTC= 0.1331923, Accumulated Leap Seconds=12 + { 2441904.50, 44.052793 }, //10 August 1973, UT1-UTC= 0.1312073, Accumulated Leap Seconds=12 + { 2441905.50, 44.054853 }, //11 August 1973, UT1-UTC= 0.1291470, Accumulated Leap Seconds=12 + { 2441906.50, 44.057043 }, //12 August 1973, UT1-UTC= 0.1269571, Accumulated Leap Seconds=12 + { 2441907.50, 44.059400 }, //13 August 1973, UT1-UTC= 0.1246002, Accumulated Leap Seconds=12 + { 2441908.50, 44.061938 }, //14 August 1973, UT1-UTC= 0.1220622, Accumulated Leap Seconds=12 + { 2441909.50, 44.064645 }, //15 August 1973, UT1-UTC= 0.1193548, Accumulated Leap Seconds=12 + { 2441910.50, 44.067484 }, //16 August 1973, UT1-UTC= 0.1165163, Accumulated Leap Seconds=12 + { 2441911.50, 44.070393 }, //17 August 1973, UT1-UTC= 0.1136071, Accumulated Leap Seconds=12 + { 2441912.50, 44.073299 }, //18 August 1973, UT1-UTC= 0.1107006, Accumulated Leap Seconds=12 + { 2441913.50, 44.076132 }, //19 August 1973, UT1-UTC= 0.1078680, Accumulated Leap Seconds=12 + { 2441914.50, 44.078839 }, //20 August 1973, UT1-UTC= 0.1051613, Accumulated Leap Seconds=12 + { 2441915.50, 44.081403 }, //21 August 1973, UT1-UTC= 0.1025971, Accumulated Leap Seconds=12 + { 2441916.50, 44.083852 }, //22 August 1973, UT1-UTC= 0.1001482, Accumulated Leap Seconds=12 + { 2441917.50, 44.086255 }, //23 August 1973, UT1-UTC= 0.0977447, Accumulated Leap Seconds=12 + { 2441918.50, 44.088710 }, //24 August 1973, UT1-UTC= 0.0952896, Accumulated Leap Seconds=12 + { 2441919.50, 44.091315 }, //25 August 1973, UT1-UTC= 0.0926851, Accumulated Leap Seconds=12 + { 2441920.50, 44.094137 }, //26 August 1973, UT1-UTC= 0.0898626, Accumulated Leap Seconds=12 + { 2441921.50, 44.097192 }, //27 August 1973, UT1-UTC= 0.0868080, Accumulated Leap Seconds=12 + { 2441922.50, 44.100430 }, //28 August 1973, UT1-UTC= 0.0835702, Accumulated Leap Seconds=12 + { 2441923.50, 44.103753 }, //29 August 1973, UT1-UTC= 0.0802474, Accumulated Leap Seconds=12 + { 2441924.50, 44.107045 }, //30 August 1973, UT1-UTC= 0.0769554, Accumulated Leap Seconds=12 + { 2441925.50, 44.110206 }, //31 August 1973, UT1-UTC= 0.0737935, Accumulated Leap Seconds=12 + { 2441926.50, 44.113179 }, //01 September 1973, UT1-UTC= 0.0708212, Accumulated Leap Seconds=12 + { 2441927.50, 44.115947 }, //02 September 1973, UT1-UTC= 0.0680534, Accumulated Leap Seconds=12 + { 2441928.50, 44.118530 }, //03 September 1973, UT1-UTC= 0.0654699, Accumulated Leap Seconds=12 + { 2441929.50, 44.120972 }, //04 September 1973, UT1-UTC= 0.0630280, Accumulated Leap Seconds=12 + { 2441930.50, 44.123327 }, //05 September 1973, UT1-UTC= 0.0606731, Accumulated Leap Seconds=12 + { 2441931.50, 44.125656 }, //06 September 1973, UT1-UTC= 0.0583445, Accumulated Leap Seconds=12 + { 2441932.50, 44.128020 }, //07 September 1973, UT1-UTC= 0.0559804, Accumulated Leap Seconds=12 + { 2441933.50, 44.130476 }, //08 September 1973, UT1-UTC= 0.0535242, Accumulated Leap Seconds=12 + { 2441934.50, 44.133068 }, //09 September 1973, UT1-UTC= 0.0509322, Accumulated Leap Seconds=12 + { 2441935.50, 44.135821 }, //10 September 1973, UT1-UTC= 0.0481788, Accumulated Leap Seconds=12 + { 2441936.50, 44.138738 }, //11 September 1973, UT1-UTC= 0.0452619, Accumulated Leap Seconds=12 + { 2441937.50, 44.141793 }, //12 September 1973, UT1-UTC= 0.0422068, Accumulated Leap Seconds=12 + { 2441938.50, 44.144934 }, //13 September 1973, UT1-UTC= 0.0390659, Accumulated Leap Seconds=12 + { 2441939.50, 44.148087 }, //14 September 1973, UT1-UTC= 0.0359132, Accumulated Leap Seconds=12 + { 2441940.50, 44.151171 }, //15 September 1973, UT1-UTC= 0.0328289, Accumulated Leap Seconds=12 + { 2441941.50, 44.154121 }, //16 September 1973, UT1-UTC= 0.0298786, Accumulated Leap Seconds=12 + { 2441942.50, 44.156907 }, //17 September 1973, UT1-UTC= 0.0270925, Accumulated Leap Seconds=12 + { 2441943.50, 44.159547 }, //18 September 1973, UT1-UTC= 0.0244530, Accumulated Leap Seconds=12 + { 2441944.50, 44.162102 }, //19 September 1973, UT1-UTC= 0.0218975, Accumulated Leap Seconds=12 + { 2441945.50, 44.164665 }, //20 September 1973, UT1-UTC= 0.0193345, Accumulated Leap Seconds=12 + { 2441946.50, 44.167333 }, //21 September 1973, UT1-UTC= 0.0166675, Accumulated Leap Seconds=12 + { 2441947.50, 44.170178 }, //22 September 1973, UT1-UTC= 0.0138216, Accumulated Leap Seconds=12 + { 2441948.50, 44.173236 }, //23 September 1973, UT1-UTC= 0.0107642, Accumulated Leap Seconds=12 + { 2441949.50, 44.176485 }, //24 September 1973, UT1-UTC= 0.0075152, Accumulated Leap Seconds=12 + { 2441950.50, 44.179857 }, //25 September 1973, UT1-UTC= 0.0041426, Accumulated Leap Seconds=12 + { 2441951.50, 44.183256 }, //26 September 1973, UT1-UTC= 0.0007438, Accumulated Leap Seconds=12 + { 2441952.50, 44.186582 }, //27 September 1973, UT1-UTC=-0.0025816, Accumulated Leap Seconds=12 + { 2441953.50, 44.189758 }, //28 September 1973, UT1-UTC=-0.0057578, Accumulated Leap Seconds=12 + { 2441954.50, 44.192748 }, //29 September 1973, UT1-UTC=-0.0087481, Accumulated Leap Seconds=12 + { 2441955.50, 44.195557 }, //30 September 1973, UT1-UTC=-0.0115567, Accumulated Leap Seconds=12 + { 2441956.50, 44.198219 }, //01 October 1973, UT1-UTC=-0.0142187, Accumulated Leap Seconds=12 + { 2441957.50, 44.200788 }, //02 October 1973, UT1-UTC=-0.0167878, Accumulated Leap Seconds=12 + { 2441958.50, 44.203326 }, //03 October 1973, UT1-UTC=-0.0193259, Accumulated Leap Seconds=12 + { 2441959.50, 44.205896 }, //04 October 1973, UT1-UTC=-0.0218957, Accumulated Leap Seconds=12 + { 2441960.50, 44.208555 }, //05 October 1973, UT1-UTC=-0.0245553, Accumulated Leap Seconds=12 + { 2441961.50, 44.211352 }, //06 October 1973, UT1-UTC=-0.0273522, Accumulated Leap Seconds=12 + { 2441962.50, 44.214318 }, //07 October 1973, UT1-UTC=-0.0303185, Accumulated Leap Seconds=12 + { 2441963.50, 44.217465 }, //08 October 1973, UT1-UTC=-0.0334655, Accumulated Leap Seconds=12 + { 2441964.50, 44.220780 }, //09 October 1973, UT1-UTC=-0.0367801, Accumulated Leap Seconds=12 + { 2441965.50, 44.224223 }, //10 October 1973, UT1-UTC=-0.0402230, Accumulated Leap Seconds=12 + { 2441966.50, 44.227729 }, //11 October 1973, UT1-UTC=-0.0437289, Accumulated Leap Seconds=12 + { 2441967.50, 44.231215 }, //12 October 1973, UT1-UTC=-0.0472151, Accumulated Leap Seconds=12 + { 2441968.50, 44.234601 }, //13 October 1973, UT1-UTC=-0.0506007, Accumulated Leap Seconds=12 + { 2441969.50, 44.237831 }, //14 October 1973, UT1-UTC=-0.0538311, Accumulated Leap Seconds=12 + { 2441970.50, 44.240899 }, //15 October 1973, UT1-UTC=-0.0568993, Accumulated Leap Seconds=12 + { 2441971.50, 44.243852 }, //16 October 1973, UT1-UTC=-0.0598522, Accumulated Leap Seconds=12 + { 2441972.50, 44.246777 }, //17 October 1973, UT1-UTC=-0.0627770, Accumulated Leap Seconds=12 + { 2441973.50, 44.249772 }, //18 October 1973, UT1-UTC=-0.0657721, Accumulated Leap Seconds=12 + { 2441974.50, 44.252916 }, //19 October 1973, UT1-UTC=-0.0689162, Accumulated Leap Seconds=12 + { 2441975.50, 44.256247 }, //20 October 1973, UT1-UTC=-0.0722474, Accumulated Leap Seconds=12 + { 2441976.50, 44.259755 }, //21 October 1973, UT1-UTC=-0.0757549, Accumulated Leap Seconds=12 + { 2441977.50, 44.263385 }, //22 October 1973, UT1-UTC=-0.0793851, Accumulated Leap Seconds=12 + { 2441978.50, 44.267057 }, //23 October 1973, UT1-UTC=-0.0830574, Accumulated Leap Seconds=12 + { 2441979.50, 44.270685 }, //24 October 1973, UT1-UTC=-0.0866852, Accumulated Leap Seconds=12 + { 2441980.50, 44.274194 }, //25 October 1973, UT1-UTC=-0.0901937, Accumulated Leap Seconds=12 + { 2441981.50, 44.277536 }, //26 October 1973, UT1-UTC=-0.0935357, Accumulated Leap Seconds=12 + { 2441982.50, 44.280699 }, //27 October 1973, UT1-UTC=-0.0966987, Accumulated Leap Seconds=12 + { 2441983.50, 44.283703 }, //28 October 1973, UT1-UTC=-0.0997029, Accumulated Leap Seconds=12 + { 2441984.50, 44.286593 }, //29 October 1973, UT1-UTC=-0.1025932, Accumulated Leap Seconds=12 + { 2441985.50, 44.289428 }, //30 October 1973, UT1-UTC=-0.1054279, Accumulated Leap Seconds=12 + { 2441986.50, 44.292269 }, //31 October 1973, UT1-UTC=-0.1082691, Accumulated Leap Seconds=12 + { 2441987.50, 44.295175 }, //01 November 1973, UT1-UTC=-0.1111747, Accumulated Leap Seconds=12 + { 2441988.50, 44.298193 }, //02 November 1973, UT1-UTC=-0.1141927, Accumulated Leap Seconds=12 + { 2441989.50, 44.301357 }, //03 November 1973, UT1-UTC=-0.1173573, Accumulated Leap Seconds=12 + { 2441990.50, 44.304685 }, //04 November 1973, UT1-UTC=-0.1206852, Accumulated Leap Seconds=12 + { 2441991.50, 44.308174 }, //05 November 1973, UT1-UTC=-0.1241736, Accumulated Leap Seconds=12 + { 2441992.50, 44.311798 }, //06 November 1973, UT1-UTC=-0.1277982, Accumulated Leap Seconds=12 + { 2441993.50, 44.315511 }, //07 November 1973, UT1-UTC=-0.1315113, Accumulated Leap Seconds=12 + { 2441994.50, 44.319244 }, //08 November 1973, UT1-UTC=-0.1352436, Accumulated Leap Seconds=12 + { 2441995.50, 44.322914 }, //09 November 1973, UT1-UTC=-0.1389145, Accumulated Leap Seconds=12 + { 2441996.50, 44.326454 }, //10 November 1973, UT1-UTC=-0.1424540, Accumulated Leap Seconds=12 + { 2441997.50, 44.329827 }, //11 November 1973, UT1-UTC=-0.1458272, Accumulated Leap Seconds=12 + { 2441998.50, 44.333054 }, //12 November 1973, UT1-UTC=-0.1490537, Accumulated Leap Seconds=12 + { 2441999.50, 44.336205 }, //13 November 1973, UT1-UTC=-0.1522051, Accumulated Leap Seconds=12 + { 2442000.50, 44.339381 }, //14 November 1973, UT1-UTC=-0.1553812, Accumulated Leap Seconds=12 + { 2442001.50, 44.342672 }, //15 November 1973, UT1-UTC=-0.1586718, Accumulated Leap Seconds=12 + { 2442002.50, 44.346124 }, //16 November 1973, UT1-UTC=-0.1621245, Accumulated Leap Seconds=12 + { 2442003.50, 44.349731 }, //17 November 1973, UT1-UTC=-0.1657309, Accumulated Leap Seconds=12 + { 2442004.50, 44.353436 }, //18 November 1973, UT1-UTC=-0.1694358, Accumulated Leap Seconds=12 + { 2442005.50, 44.357158 }, //19 November 1973, UT1-UTC=-0.1731585, Accumulated Leap Seconds=12 + { 2442006.50, 44.360816 }, //20 November 1973, UT1-UTC=-0.1768161, Accumulated Leap Seconds=12 + { 2442007.50, 44.364341 }, //21 November 1973, UT1-UTC=-0.1803414, Accumulated Leap Seconds=12 + { 2442008.50, 44.367691 }, //22 November 1973, UT1-UTC=-0.1836911, Accumulated Leap Seconds=12 + { 2442009.50, 44.370850 }, //23 November 1973, UT1-UTC=-0.1868497, Accumulated Leap Seconds=12 + { 2442010.50, 44.373829 }, //24 November 1973, UT1-UTC=-0.1898289, Accumulated Leap Seconds=12 + { 2442011.50, 44.376664 }, //25 November 1973, UT1-UTC=-0.1926643, Accumulated Leap Seconds=12 + { 2442012.50, 44.379408 }, //26 November 1973, UT1-UTC=-0.1954080, Accumulated Leap Seconds=12 + { 2442013.50, 44.382120 }, //27 November 1973, UT1-UTC=-0.1981199, Accumulated Leap Seconds=12 + { 2442014.50, 44.384858 }, //28 November 1973, UT1-UTC=-0.2008582, Accumulated Leap Seconds=12 + { 2442015.50, 44.387672 }, //29 November 1973, UT1-UTC=-0.2036719, Accumulated Leap Seconds=12 + { 2442016.50, 44.390596 }, //30 November 1973, UT1-UTC=-0.2065957, Accumulated Leap Seconds=12 + { 2442017.50, 44.393647 }, //01 December 1973, UT1-UTC=-0.2096471, Accumulated Leap Seconds=12 + { 2442018.50, 44.396826 }, //02 December 1973, UT1-UTC=-0.2128261, Accumulated Leap Seconds=12 + { 2442019.50, 44.400115 }, //03 December 1973, UT1-UTC=-0.2161153, Accumulated Leap Seconds=12 + { 2442020.50, 44.403480 }, //04 December 1973, UT1-UTC=-0.2194796, Accumulated Leap Seconds=12 + { 2442021.50, 44.406867 }, //05 December 1973, UT1-UTC=-0.2228670, Accumulated Leap Seconds=12 + { 2442022.50, 44.410212 }, //06 December 1973, UT1-UTC=-0.2262122, Accumulated Leap Seconds=12 + { 2442023.50, 44.413450 }, //07 December 1973, UT1-UTC=-0.2294497, Accumulated Leap Seconds=12 + { 2442024.50, 44.416534 }, //08 December 1973, UT1-UTC=-0.2325339, Accumulated Leap Seconds=12 + { 2442025.50, 44.419462 }, //09 December 1973, UT1-UTC=-0.2354623, Accumulated Leap Seconds=12 + { 2442026.50, 44.422287 }, //10 December 1973, UT1-UTC=-0.2382872, Accumulated Leap Seconds=12 + { 2442027.50, 44.425104 }, //11 December 1973, UT1-UTC=-0.2411036, Accumulated Leap Seconds=12 + { 2442028.50, 44.428015 }, //12 December 1973, UT1-UTC=-0.2440146, Accumulated Leap Seconds=12 + { 2442029.50, 44.431091 }, //13 December 1973, UT1-UTC=-0.2470908, Accumulated Leap Seconds=12 + { 2442030.50, 44.434342 }, //14 December 1973, UT1-UTC=-0.2503419, Accumulated Leap Seconds=12 + { 2442031.50, 44.437714 }, //15 December 1973, UT1-UTC=-0.2537141, Accumulated Leap Seconds=12 + { 2442032.50, 44.441114 }, //16 December 1973, UT1-UTC=-0.2571138, Accumulated Leap Seconds=12 + { 2442033.50, 44.444442 }, //17 December 1973, UT1-UTC=-0.2604418, Accumulated Leap Seconds=12 + { 2442034.50, 44.447621 }, //18 December 1973, UT1-UTC=-0.2636212, Accumulated Leap Seconds=12 + { 2442035.50, 44.450608 }, //19 December 1973, UT1-UTC=-0.2666082, Accumulated Leap Seconds=12 + { 2442036.50, 44.453392 }, //20 December 1973, UT1-UTC=-0.2693916, Accumulated Leap Seconds=12 + { 2442037.50, 44.455986 }, //21 December 1973, UT1-UTC=-0.2719860, Accumulated Leap Seconds=12 + { 2442038.50, 44.458426 }, //22 December 1973, UT1-UTC=-0.2744256, Accumulated Leap Seconds=12 + { 2442039.50, 44.460759 }, //23 December 1973, UT1-UTC=-0.2767591, Accumulated Leap Seconds=12 + { 2442040.50, 44.463044 }, //24 December 1973, UT1-UTC=-0.2790441, Accumulated Leap Seconds=12 + { 2442041.50, 44.465340 }, //25 December 1973, UT1-UTC=-0.2813401, Accumulated Leap Seconds=12 + { 2442042.50, 44.467699 }, //26 December 1973, UT1-UTC=-0.2836993, Accumulated Leap Seconds=12 + { 2442043.50, 44.470160 }, //27 December 1973, UT1-UTC=-0.2861602, Accumulated Leap Seconds=12 + { 2442044.50, 44.472743 }, //28 December 1973, UT1-UTC=-0.2887427, Accumulated Leap Seconds=12 + { 2442045.50, 44.475448 }, //29 December 1973, UT1-UTC=-0.2914476, Accumulated Leap Seconds=12 + { 2442046.50, 44.478258 }, //30 December 1973, UT1-UTC=-0.2942581, Accumulated Leap Seconds=12 + { 2442047.50, 44.481142 }, //31 December 1973, UT1-UTC=-0.2971424, Accumulated Leap Seconds=12 + { 2442048.50, 44.484056 }, //01 January 1974, UT1-UTC= 0.6999438, Accumulated Leap Seconds=13 + { 2442049.50, 44.486946 }, //02 January 1974, UT1-UTC= 0.6970539, Accumulated Leap Seconds=13 + { 2442050.50, 44.489756 }, //03 January 1974, UT1-UTC= 0.6942436, Accumulated Leap Seconds=13 + { 2442051.50, 44.492442 }, //04 January 1974, UT1-UTC= 0.6915576, Accumulated Leap Seconds=13 + { 2442052.50, 44.494988 }, //05 January 1974, UT1-UTC= 0.6890115, Accumulated Leap Seconds=13 + { 2442053.50, 44.497424 }, //06 January 1974, UT1-UTC= 0.6865758, Accumulated Leap Seconds=13 + { 2442054.50, 44.499826 }, //07 January 1974, UT1-UTC= 0.6841739, Accumulated Leap Seconds=13 + { 2442055.50, 44.502299 }, //08 January 1974, UT1-UTC= 0.6817011, Accumulated Leap Seconds=13 + { 2442056.50, 44.504937 }, //09 January 1974, UT1-UTC= 0.6790627, Accumulated Leap Seconds=13 + { 2442057.50, 44.507787 }, //10 January 1974, UT1-UTC= 0.6762134, Accumulated Leap Seconds=13 + { 2442058.50, 44.510821 }, //11 January 1974, UT1-UTC= 0.6731788, Accumulated Leap Seconds=13 + { 2442059.50, 44.513953 }, //12 January 1974, UT1-UTC= 0.6700467, Accumulated Leap Seconds=13 + { 2442060.50, 44.517066 }, //13 January 1974, UT1-UTC= 0.6669336, Accumulated Leap Seconds=13 + { 2442061.50, 44.520055 }, //14 January 1974, UT1-UTC= 0.6639450, Accumulated Leap Seconds=13 + { 2442062.50, 44.522853 }, //15 January 1974, UT1-UTC= 0.6611472, Accumulated Leap Seconds=13 + { 2442063.50, 44.525439 }, //16 January 1974, UT1-UTC= 0.6585612, Accumulated Leap Seconds=13 + { 2442064.50, 44.527828 }, //17 January 1974, UT1-UTC= 0.6561715, Accumulated Leap Seconds=13 + { 2442065.50, 44.530060 }, //18 January 1974, UT1-UTC= 0.6539399, Accumulated Leap Seconds=13 + { 2442066.50, 44.532184 }, //19 January 1974, UT1-UTC= 0.6518159, Accumulated Leap Seconds=13 + { 2442067.50, 44.534258 }, //20 January 1974, UT1-UTC= 0.6497421, Accumulated Leap Seconds=13 + { 2442068.50, 44.536341 }, //21 January 1974, UT1-UTC= 0.6476585, Accumulated Leap Seconds=13 + { 2442069.50, 44.538491 }, //22 January 1974, UT1-UTC= 0.6455090, Accumulated Leap Seconds=13 + { 2442070.50, 44.540751 }, //23 January 1974, UT1-UTC= 0.6432493, Accumulated Leap Seconds=13 + { 2442071.50, 44.543147 }, //24 January 1974, UT1-UTC= 0.6408530, Accumulated Leap Seconds=13 + { 2442072.50, 44.545685 }, //25 January 1974, UT1-UTC= 0.6383150, Accumulated Leap Seconds=13 + { 2442073.50, 44.548350 }, //26 January 1974, UT1-UTC= 0.6356505, Accumulated Leap Seconds=13 + { 2442074.50, 44.551108 }, //27 January 1974, UT1-UTC= 0.6328924, Accumulated Leap Seconds=13 + { 2442075.50, 44.553914 }, //28 January 1974, UT1-UTC= 0.6300862, Accumulated Leap Seconds=13 + { 2442076.50, 44.556715 }, //29 January 1974, UT1-UTC= 0.6272847, Accumulated Leap Seconds=13 + { 2442077.50, 44.559460 }, //30 January 1974, UT1-UTC= 0.6245402, Accumulated Leap Seconds=13 + { 2442078.50, 44.562105 }, //31 January 1974, UT1-UTC= 0.6218946, Accumulated Leap Seconds=13 + { 2442079.50, 44.564633 }, //01 February 1974, UT1-UTC= 0.6193665, Accumulated Leap Seconds=13 + { 2442080.50, 44.567061 }, //02 February 1974, UT1-UTC= 0.6169393, Accumulated Leap Seconds=13 + { 2442081.50, 44.569446 }, //03 February 1974, UT1-UTC= 0.6145544, Accumulated Leap Seconds=13 + { 2442082.50, 44.571881 }, //04 February 1974, UT1-UTC= 0.6121192, Accumulated Leap Seconds=13 + { 2442083.50, 44.574468 }, //05 February 1974, UT1-UTC= 0.6095322, Accumulated Leap Seconds=13 + { 2442084.50, 44.577281 }, //06 February 1974, UT1-UTC= 0.6067194, Accumulated Leap Seconds=13 + { 2442085.50, 44.580334 }, //07 February 1974, UT1-UTC= 0.6036662, Accumulated Leap Seconds=13 + { 2442086.50, 44.583571 }, //08 February 1974, UT1-UTC= 0.6004295, Accumulated Leap Seconds=13 + { 2442087.50, 44.586880 }, //09 February 1974, UT1-UTC= 0.5971202, Accumulated Leap Seconds=13 + { 2442088.50, 44.590136 }, //10 February 1974, UT1-UTC= 0.5938641, Accumulated Leap Seconds=13 + { 2442089.50, 44.593237 }, //11 February 1974, UT1-UTC= 0.5907626, Accumulated Leap Seconds=13 + { 2442090.50, 44.596132 }, //12 February 1974, UT1-UTC= 0.5878679, Accumulated Leap Seconds=13 + { 2442091.50, 44.598818 }, //13 February 1974, UT1-UTC= 0.5851819, Accumulated Leap Seconds=13 + { 2442092.50, 44.601330 }, //14 February 1974, UT1-UTC= 0.5826700, Accumulated Leap Seconds=13 + { 2442093.50, 44.603720 }, //15 February 1974, UT1-UTC= 0.5802797, Accumulated Leap Seconds=13 + { 2442094.50, 44.606049 }, //16 February 1974, UT1-UTC= 0.5779513, Accumulated Leap Seconds=13 + { 2442095.50, 44.608376 }, //17 February 1974, UT1-UTC= 0.5756244, Accumulated Leap Seconds=13 + { 2442096.50, 44.610759 }, //18 February 1974, UT1-UTC= 0.5732413, Accumulated Leap Seconds=13 + { 2442097.50, 44.613247 }, //19 February 1974, UT1-UTC= 0.5707527, Accumulated Leap Seconds=13 + { 2442098.50, 44.615876 }, //20 February 1974, UT1-UTC= 0.5681244, Accumulated Leap Seconds=13 + { 2442099.50, 44.618657 }, //21 February 1974, UT1-UTC= 0.5653429, Accumulated Leap Seconds=13 + { 2442100.50, 44.621583 }, //22 February 1974, UT1-UTC= 0.5624169, Accumulated Leap Seconds=13 + { 2442101.50, 44.624624 }, //23 February 1974, UT1-UTC= 0.5593762, Accumulated Leap Seconds=13 + { 2442102.50, 44.627733 }, //24 February 1974, UT1-UTC= 0.5562673, Accumulated Leap Seconds=13 + { 2442103.50, 44.630853 }, //25 February 1974, UT1-UTC= 0.5531474, Accumulated Leap Seconds=13 + { 2442104.50, 44.633925 }, //26 February 1974, UT1-UTC= 0.5500745, Accumulated Leap Seconds=13 + { 2442105.50, 44.636903 }, //27 February 1974, UT1-UTC= 0.5470965, Accumulated Leap Seconds=13 + { 2442106.50, 44.639762 }, //28 February 1974, UT1-UTC= 0.5442380, Accumulated Leap Seconds=13 + { 2442107.50, 44.642510 }, //01 March 1974, UT1-UTC= 0.5414901, Accumulated Leap Seconds=13 + { 2442108.50, 44.645193 }, //02 March 1974, UT1-UTC= 0.5388066, Accumulated Leap Seconds=13 + { 2442109.50, 44.647891 }, //03 March 1974, UT1-UTC= 0.5361088, Accumulated Leap Seconds=13 + { 2442110.50, 44.650698 }, //04 March 1974, UT1-UTC= 0.5333018, Accumulated Leap Seconds=13 + { 2442111.50, 44.653698 }, //05 March 1974, UT1-UTC= 0.5303016, Accumulated Leap Seconds=13 + { 2442112.50, 44.656936 }, //06 March 1974, UT1-UTC= 0.5270642, Accumulated Leap Seconds=13 + { 2442113.50, 44.660393 }, //07 March 1974, UT1-UTC= 0.5236066, Accumulated Leap Seconds=13 + { 2442114.50, 44.663993 }, //08 March 1974, UT1-UTC= 0.5200074, Accumulated Leap Seconds=13 + { 2442115.50, 44.667616 }, //09 March 1974, UT1-UTC= 0.5163838, Accumulated Leap Seconds=13 + { 2442116.50, 44.671145 }, //10 March 1974, UT1-UTC= 0.5128546, Accumulated Leap Seconds=13 + { 2442117.50, 44.674495 }, //11 March 1974, UT1-UTC= 0.5095052, Accumulated Leap Seconds=13 + { 2442118.50, 44.677631 }, //12 March 1974, UT1-UTC= 0.5063690, Accumulated Leap Seconds=13 + { 2442119.50, 44.680569 }, //13 March 1974, UT1-UTC= 0.5034312, Accumulated Leap Seconds=13 + { 2442120.50, 44.683355 }, //14 March 1974, UT1-UTC= 0.5006447, Accumulated Leap Seconds=13 + { 2442121.50, 44.686051 }, //15 March 1974, UT1-UTC= 0.4979486, Accumulated Leap Seconds=13 + { 2442122.50, 44.688720 }, //16 March 1974, UT1-UTC= 0.4952804, Accumulated Leap Seconds=13 + { 2442123.50, 44.691419 }, //17 March 1974, UT1-UTC= 0.4925811, Accumulated Leap Seconds=13 + { 2442124.50, 44.694201 }, //18 March 1974, UT1-UTC= 0.4897991, Accumulated Leap Seconds=13 + { 2442125.50, 44.697105 }, //19 March 1974, UT1-UTC= 0.4868946, Accumulated Leap Seconds=13 + { 2442126.50, 44.700155 }, //20 March 1974, UT1-UTC= 0.4838452, Accumulated Leap Seconds=13 + { 2442127.50, 44.703350 }, //21 March 1974, UT1-UTC= 0.4806495, Accumulated Leap Seconds=13 + { 2442128.50, 44.706672 }, //22 March 1974, UT1-UTC= 0.4773279, Accumulated Leap Seconds=13 + { 2442129.50, 44.710079 }, //23 March 1974, UT1-UTC= 0.4739205, Accumulated Leap Seconds=13 + { 2442130.50, 44.713517 }, //24 March 1974, UT1-UTC= 0.4704827, Accumulated Leap Seconds=13 + { 2442131.50, 44.716923 }, //25 March 1974, UT1-UTC= 0.4670769, Accumulated Leap Seconds=13 + { 2442132.50, 44.720239 }, //26 March 1974, UT1-UTC= 0.4637605, Accumulated Leap Seconds=13 + { 2442133.50, 44.723430 }, //27 March 1974, UT1-UTC= 0.4605702, Accumulated Leap Seconds=13 + { 2442134.50, 44.726491 }, //28 March 1974, UT1-UTC= 0.4575087, Accumulated Leap Seconds=13 + { 2442135.50, 44.729460 }, //29 March 1974, UT1-UTC= 0.4545396, Accumulated Leap Seconds=13 + { 2442136.50, 44.732407 }, //30 March 1974, UT1-UTC= 0.4515928, Accumulated Leap Seconds=13 + { 2442137.50, 44.735419 }, //31 March 1974, UT1-UTC= 0.4485812, Accumulated Leap Seconds=13 + { 2442138.50, 44.738577 }, //01 April 1974, UT1-UTC= 0.4454233, Accumulated Leap Seconds=13 + { 2442139.50, 44.741933 }, //02 April 1974, UT1-UTC= 0.4420667, Accumulated Leap Seconds=13 + { 2442140.50, 44.745495 }, //03 April 1974, UT1-UTC= 0.4385054, Accumulated Leap Seconds=13 + { 2442141.50, 44.749214 }, //04 April 1974, UT1-UTC= 0.4347858, Accumulated Leap Seconds=13 + { 2442142.50, 44.753003 }, //05 April 1974, UT1-UTC= 0.4309973, Accumulated Leap Seconds=13 + { 2442143.50, 44.756752 }, //06 April 1974, UT1-UTC= 0.4272484, Accumulated Leap Seconds=13 + { 2442144.50, 44.760364 }, //07 April 1974, UT1-UTC= 0.4236357, Accumulated Leap Seconds=13 + { 2442145.50, 44.763781 }, //08 April 1974, UT1-UTC= 0.4202190, Accumulated Leap Seconds=13 + { 2442146.50, 44.766990 }, //09 April 1974, UT1-UTC= 0.4170100, Accumulated Leap Seconds=13 + { 2442147.50, 44.770021 }, //10 April 1974, UT1-UTC= 0.4139793, Accumulated Leap Seconds=13 + { 2442148.50, 44.772928 }, //11 April 1974, UT1-UTC= 0.4110721, Accumulated Leap Seconds=13 + { 2442149.50, 44.775775 }, //12 April 1974, UT1-UTC= 0.4082249, Accumulated Leap Seconds=13 + { 2442150.50, 44.778623 }, //13 April 1974, UT1-UTC= 0.4053770, Accumulated Leap Seconds=13 + { 2442151.50, 44.781524 }, //14 April 1974, UT1-UTC= 0.4024755, Accumulated Leap Seconds=13 + { 2442152.50, 44.784521 }, //15 April 1974, UT1-UTC= 0.3994786, Accumulated Leap Seconds=13 + { 2442153.50, 44.787641 }, //16 April 1974, UT1-UTC= 0.3963591, Accumulated Leap Seconds=13 + { 2442154.50, 44.790892 }, //17 April 1974, UT1-UTC= 0.3931082, Accumulated Leap Seconds=13 + { 2442155.50, 44.794264 }, //18 April 1974, UT1-UTC= 0.3897363, Accumulated Leap Seconds=13 + { 2442156.50, 44.797727 }, //19 April 1974, UT1-UTC= 0.3862732, Accumulated Leap Seconds=13 + { 2442157.50, 44.801234 }, //20 April 1974, UT1-UTC= 0.3827656, Accumulated Leap Seconds=13 + { 2442158.50, 44.804728 }, //21 April 1974, UT1-UTC= 0.3792718, Accumulated Leap Seconds=13 + { 2442159.50, 44.808147 }, //22 April 1974, UT1-UTC= 0.3758526, Accumulated Leap Seconds=13 + { 2442160.50, 44.811443 }, //23 April 1974, UT1-UTC= 0.3725566, Accumulated Leap Seconds=13 + { 2442161.50, 44.814597 }, //24 April 1974, UT1-UTC= 0.3694030, Accumulated Leap Seconds=13 + { 2442162.50, 44.817630 }, //25 April 1974, UT1-UTC= 0.3663697, Accumulated Leap Seconds=13 + { 2442163.50, 44.820605 }, //26 April 1974, UT1-UTC= 0.3633949, Accumulated Leap Seconds=13 + { 2442164.50, 44.823606 }, //27 April 1974, UT1-UTC= 0.3603935, Accumulated Leap Seconds=13 + { 2442165.50, 44.826716 }, //28 April 1974, UT1-UTC= 0.3572837, Accumulated Leap Seconds=13 + { 2442166.50, 44.829988 }, //29 April 1974, UT1-UTC= 0.3540118, Accumulated Leap Seconds=13 + { 2442167.50, 44.833433 }, //30 April 1974, UT1-UTC= 0.3505675, Accumulated Leap Seconds=13 + { 2442168.50, 44.837013 }, //01 May 1974, UT1-UTC= 0.3469865, Accumulated Leap Seconds=13 + { 2442169.50, 44.840660 }, //02 May 1974, UT1-UTC= 0.3433401, Accumulated Leap Seconds=13 + { 2442170.50, 44.844282 }, //03 May 1974, UT1-UTC= 0.3397183, Accumulated Leap Seconds=13 + { 2442171.50, 44.847791 }, //04 May 1974, UT1-UTC= 0.3362085, Accumulated Leap Seconds=13 + { 2442172.50, 44.851125 }, //05 May 1974, UT1-UTC= 0.3328749, Accumulated Leap Seconds=13 + { 2442173.50, 44.854254 }, //06 May 1974, UT1-UTC= 0.3297456, Accumulated Leap Seconds=13 + { 2442174.50, 44.857190 }, //07 May 1974, UT1-UTC= 0.3268099, Accumulated Leap Seconds=13 + { 2442175.50, 44.859974 }, //08 May 1974, UT1-UTC= 0.3240255, Accumulated Leap Seconds=13 + { 2442176.50, 44.862666 }, //09 May 1974, UT1-UTC= 0.3213335, Accumulated Leap Seconds=13 + { 2442177.50, 44.865328 }, //10 May 1974, UT1-UTC= 0.3186717, Accumulated Leap Seconds=13 + { 2442178.50, 44.868015 }, //11 May 1974, UT1-UTC= 0.3159848, Accumulated Leap Seconds=13 + { 2442179.50, 44.870771 }, //12 May 1974, UT1-UTC= 0.3132294, Accumulated Leap Seconds=13 + { 2442180.50, 44.873623 }, //13 May 1974, UT1-UTC= 0.3103768, Accumulated Leap Seconds=13 + { 2442181.50, 44.876585 }, //14 May 1974, UT1-UTC= 0.3074146, Accumulated Leap Seconds=13 + { 2442182.50, 44.879652 }, //15 May 1974, UT1-UTC= 0.3043480, Accumulated Leap Seconds=13 + { 2442183.50, 44.882801 }, //16 May 1974, UT1-UTC= 0.3011990, Accumulated Leap Seconds=13 + { 2442184.50, 44.885996 }, //17 May 1974, UT1-UTC= 0.2980043, Accumulated Leap Seconds=13 + { 2442185.50, 44.889187 }, //18 May 1974, UT1-UTC= 0.2948130, Accumulated Leap Seconds=13 + { 2442186.50, 44.892319 }, //19 May 1974, UT1-UTC= 0.2916807, Accumulated Leap Seconds=13 + { 2442187.50, 44.895341 }, //20 May 1974, UT1-UTC= 0.2886593, Accumulated Leap Seconds=13 + { 2442188.50, 44.898219 }, //21 May 1974, UT1-UTC= 0.2857812, Accumulated Leap Seconds=13 + { 2442189.50, 44.900957 }, //22 May 1974, UT1-UTC= 0.2830427, Accumulated Leap Seconds=13 + { 2442190.50, 44.903604 }, //23 May 1974, UT1-UTC= 0.2803960, Accumulated Leap Seconds=13 + { 2442191.50, 44.906240 }, //24 May 1974, UT1-UTC= 0.2777595, Accumulated Leap Seconds=13 + { 2442192.50, 44.908956 }, //25 May 1974, UT1-UTC= 0.2750436, Accumulated Leap Seconds=13 + { 2442193.50, 44.911816 }, //26 May 1974, UT1-UTC= 0.2721837, Accumulated Leap Seconds=13 + { 2442194.50, 44.914837 }, //27 May 1974, UT1-UTC= 0.2691634, Accumulated Leap Seconds=13 + { 2442195.50, 44.917981 }, //28 May 1974, UT1-UTC= 0.2660190, Accumulated Leap Seconds=13 + { 2442196.50, 44.921175 }, //29 May 1974, UT1-UTC= 0.2628251, Accumulated Leap Seconds=13 + { 2442197.50, 44.924329 }, //30 May 1974, UT1-UTC= 0.2596711, Accumulated Leap Seconds=13 + { 2442198.50, 44.927361 }, //31 May 1974, UT1-UTC= 0.2566387, Accumulated Leap Seconds=13 + { 2442199.50, 44.930214 }, //01 June 1974, UT1-UTC= 0.2537862, Accumulated Leap Seconds=13 + { 2442200.50, 44.932859 }, //02 June 1974, UT1-UTC= 0.2511410, Accumulated Leap Seconds=13 + { 2442201.50, 44.935301 }, //03 June 1974, UT1-UTC= 0.2486987, Accumulated Leap Seconds=13 + { 2442202.50, 44.937573 }, //04 June 1974, UT1-UTC= 0.2464268, Accumulated Leap Seconds=13 + { 2442203.50, 44.939727 }, //05 June 1974, UT1-UTC= 0.2442733, Accumulated Leap Seconds=13 + { 2442204.50, 44.941822 }, //06 June 1974, UT1-UTC= 0.2421779, Accumulated Leap Seconds=13 + { 2442205.50, 44.943917 }, //07 June 1974, UT1-UTC= 0.2400825, Accumulated Leap Seconds=13 + { 2442206.50, 44.946060 }, //08 June 1974, UT1-UTC= 0.2379399, Accumulated Leap Seconds=13 + { 2442207.50, 44.948282 }, //09 June 1974, UT1-UTC= 0.2357183, Accumulated Leap Seconds=13 + { 2442208.50, 44.950597 }, //10 June 1974, UT1-UTC= 0.2334032, Accumulated Leap Seconds=13 + { 2442209.50, 44.953002 }, //11 June 1974, UT1-UTC= 0.2309975, Accumulated Leap Seconds=13 + { 2442210.50, 44.955480 }, //12 June 1974, UT1-UTC= 0.2285200, Accumulated Leap Seconds=13 + { 2442211.50, 44.957998 }, //13 June 1974, UT1-UTC= 0.2260020, Accumulated Leap Seconds=13 + { 2442212.50, 44.960516 }, //14 June 1974, UT1-UTC= 0.2234839, Accumulated Leap Seconds=13 + { 2442213.50, 44.962988 }, //15 June 1974, UT1-UTC= 0.2210118, Accumulated Leap Seconds=13 + { 2442214.50, 44.965368 }, //16 June 1974, UT1-UTC= 0.2186316, Accumulated Leap Seconds=13 + { 2442215.50, 44.967621 }, //17 June 1974, UT1-UTC= 0.2163787, Accumulated Leap Seconds=13 + { 2442216.50, 44.969738 }, //18 June 1974, UT1-UTC= 0.2142621, Accumulated Leap Seconds=13 + { 2442217.50, 44.971749 }, //19 June 1974, UT1-UTC= 0.2122513, Accumulated Leap Seconds=13 + { 2442218.50, 44.973725 }, //20 June 1974, UT1-UTC= 0.2102747, Accumulated Leap Seconds=13 + { 2442219.50, 44.975763 }, //21 June 1974, UT1-UTC= 0.2082374, Accumulated Leap Seconds=13 + { 2442220.50, 44.977946 }, //22 June 1974, UT1-UTC= 0.2060541, Accumulated Leap Seconds=13 + { 2442221.50, 44.980315 }, //23 June 1974, UT1-UTC= 0.2036846, Accumulated Leap Seconds=13 + { 2442222.50, 44.982848 }, //24 June 1974, UT1-UTC= 0.2011517, Accumulated Leap Seconds=13 + { 2442223.50, 44.985467 }, //25 June 1974, UT1-UTC= 0.1985326, Accumulated Leap Seconds=13 + { 2442224.50, 44.988069 }, //26 June 1974, UT1-UTC= 0.1959314, Accumulated Leap Seconds=13 + { 2442225.50, 44.990555 }, //27 June 1974, UT1-UTC= 0.1934446, Accumulated Leap Seconds=13 + { 2442226.50, 44.992863 }, //28 June 1974, UT1-UTC= 0.1911372, Accumulated Leap Seconds=13 + { 2442227.50, 44.994965 }, //29 June 1974, UT1-UTC= 0.1890351, Accumulated Leap Seconds=13 + { 2442228.50, 44.996871 }, //30 June 1974, UT1-UTC= 0.1871290, Accumulated Leap Seconds=13 + { 2442229.50, 44.998615 }, //01 July 1974, UT1-UTC= 0.1853854, Accumulated Leap Seconds=13 + { 2442230.50, 45.000246 }, //02 July 1974, UT1-UTC= 0.1837541, Accumulated Leap Seconds=13 + { 2442231.50, 45.001822 }, //03 July 1974, UT1-UTC= 0.1821775, Accumulated Leap Seconds=13 + { 2442232.50, 45.003403 }, //04 July 1974, UT1-UTC= 0.1805972, Accumulated Leap Seconds=13 + { 2442233.50, 45.005038 }, //05 July 1974, UT1-UTC= 0.1789623, Accumulated Leap Seconds=13 + { 2442234.50, 45.006764 }, //06 July 1974, UT1-UTC= 0.1772358, Accumulated Leap Seconds=13 + { 2442235.50, 45.008601 }, //07 July 1974, UT1-UTC= 0.1753992, Accumulated Leap Seconds=13 + { 2442236.50, 45.010547 }, //08 July 1974, UT1-UTC= 0.1734528, Accumulated Leap Seconds=13 + { 2442237.50, 45.012586 }, //09 July 1974, UT1-UTC= 0.1714139, Accumulated Leap Seconds=13 + { 2442238.50, 45.014687 }, //10 July 1974, UT1-UTC= 0.1693126, Accumulated Leap Seconds=13 + { 2442239.50, 45.016812 }, //11 July 1974, UT1-UTC= 0.1671878, Accumulated Leap Seconds=13 + { 2442240.50, 45.018918 }, //12 July 1974, UT1-UTC= 0.1650821, Accumulated Leap Seconds=13 + { 2442241.50, 45.020963 }, //13 July 1974, UT1-UTC= 0.1630370, Accumulated Leap Seconds=13 + { 2442242.50, 45.022914 }, //14 July 1974, UT1-UTC= 0.1610859, Accumulated Leap Seconds=13 + { 2442243.50, 45.024756 }, //15 July 1974, UT1-UTC= 0.1592442, Accumulated Leap Seconds=13 + { 2442244.50, 45.026504 }, //16 July 1974, UT1-UTC= 0.1574964, Accumulated Leap Seconds=13 + { 2442245.50, 45.028212 }, //17 July 1974, UT1-UTC= 0.1557884, Accumulated Leap Seconds=13 + { 2442246.50, 45.029967 }, //18 July 1974, UT1-UTC= 0.1540328, Accumulated Leap Seconds=13 + { 2442247.50, 45.031867 }, //19 July 1974, UT1-UTC= 0.1521334, Accumulated Leap Seconds=13 + { 2442248.50, 45.033979 }, //20 July 1974, UT1-UTC= 0.1500210, Accumulated Leap Seconds=13 + { 2442249.50, 45.036314 }, //21 July 1974, UT1-UTC= 0.1476858, Accumulated Leap Seconds=13 + { 2442250.50, 45.038813 }, //22 July 1974, UT1-UTC= 0.1451868, Accumulated Leap Seconds=13 + { 2442251.50, 45.041366 }, //23 July 1974, UT1-UTC= 0.1426340, Accumulated Leap Seconds=13 + { 2442252.50, 45.043851 }, //24 July 1974, UT1-UTC= 0.1401491, Accumulated Leap Seconds=13 + { 2442253.50, 45.046173 }, //25 July 1974, UT1-UTC= 0.1378273, Accumulated Leap Seconds=13 + { 2442254.50, 45.048286 }, //26 July 1974, UT1-UTC= 0.1357144, Accumulated Leap Seconds=13 + { 2442255.50, 45.050193 }, //27 July 1974, UT1-UTC= 0.1338074, Accumulated Leap Seconds=13 + { 2442256.50, 45.051931 }, //28 July 1974, UT1-UTC= 0.1320688, Accumulated Leap Seconds=13 + { 2442257.50, 45.053557 }, //29 July 1974, UT1-UTC= 0.1304431, Accumulated Leap Seconds=13 + { 2442258.50, 45.055130 }, //30 July 1974, UT1-UTC= 0.1288695, Accumulated Leap Seconds=13 + { 2442259.50, 45.056712 }, //31 July 1974, UT1-UTC= 0.1272882, Accumulated Leap Seconds=13 + { 2442260.50, 45.058355 }, //01 August 1974, UT1-UTC= 0.1256451, Accumulated Leap Seconds=13 + { 2442261.50, 45.060102 }, //02 August 1974, UT1-UTC= 0.1238975, Accumulated Leap Seconds=13 + { 2442262.50, 45.061981 }, //03 August 1974, UT1-UTC= 0.1220194, Accumulated Leap Seconds=13 + { 2442263.50, 45.063995 }, //04 August 1974, UT1-UTC= 0.1200048, Accumulated Leap Seconds=13 + { 2442264.50, 45.066133 }, //05 August 1974, UT1-UTC= 0.1178673, Accumulated Leap Seconds=13 + { 2442265.50, 45.068363 }, //06 August 1974, UT1-UTC= 0.1156365, Accumulated Leap Seconds=13 + { 2442266.50, 45.070648 }, //07 August 1974, UT1-UTC= 0.1133517, Accumulated Leap Seconds=13 + { 2442267.50, 45.072943 }, //08 August 1974, UT1-UTC= 0.1110567, Accumulated Leap Seconds=13 + { 2442268.50, 45.075207 }, //09 August 1974, UT1-UTC= 0.1087935, Accumulated Leap Seconds=13 + { 2442269.50, 45.077404 }, //10 August 1974, UT1-UTC= 0.1065964, Accumulated Leap Seconds=13 + { 2442270.50, 45.079516 }, //11 August 1974, UT1-UTC= 0.1044843, Accumulated Leap Seconds=13 + { 2442271.50, 45.081549 }, //12 August 1974, UT1-UTC= 0.1024513, Accumulated Leap Seconds=13 + { 2442272.50, 45.083540 }, //13 August 1974, UT1-UTC= 0.1004595, Accumulated Leap Seconds=13 + { 2442273.50, 45.085562 }, //14 August 1974, UT1-UTC= 0.0984382, Accumulated Leap Seconds=13 + { 2442274.50, 45.087703 }, //15 August 1974, UT1-UTC= 0.0962965, Accumulated Leap Seconds=13 + { 2442275.50, 45.090050 }, //16 August 1974, UT1-UTC= 0.0939503, Accumulated Leap Seconds=13 + { 2442276.50, 45.092644 }, //17 August 1974, UT1-UTC= 0.0913562, Accumulated Leap Seconds=13 + { 2442277.50, 45.095464 }, //18 August 1974, UT1-UTC= 0.0885363, Accumulated Leap Seconds=13 + { 2442278.50, 45.098421 }, //19 August 1974, UT1-UTC= 0.0855791, Accumulated Leap Seconds=13 + { 2442279.50, 45.101387 }, //20 August 1974, UT1-UTC= 0.0826134, Accumulated Leap Seconds=13 + { 2442280.50, 45.104235 }, //21 August 1974, UT1-UTC= 0.0797654, Accumulated Leap Seconds=13 + { 2442281.50, 45.106879 }, //22 August 1974, UT1-UTC= 0.0771206, Accumulated Leap Seconds=13 + { 2442282.50, 45.109294 }, //23 August 1974, UT1-UTC= 0.0747058, Accumulated Leap Seconds=13 + { 2442283.50, 45.111503 }, //24 August 1974, UT1-UTC= 0.0724966, Accumulated Leap Seconds=13 + { 2442284.50, 45.113563 }, //25 August 1974, UT1-UTC= 0.0704374, Accumulated Leap Seconds=13 + { 2442285.50, 45.115537 }, //26 August 1974, UT1-UTC= 0.0684627, Accumulated Leap Seconds=13 + { 2442286.50, 45.117490 }, //27 August 1974, UT1-UTC= 0.0665101, Accumulated Leap Seconds=13 + { 2442287.50, 45.119475 }, //28 August 1974, UT1-UTC= 0.0645249, Accumulated Leap Seconds=13 + { 2442288.50, 45.121537 }, //29 August 1974, UT1-UTC= 0.0624629, Accumulated Leap Seconds=13 + { 2442289.50, 45.123706 }, //30 August 1974, UT1-UTC= 0.0602943, Accumulated Leap Seconds=13 + { 2442290.50, 45.125992 }, //31 August 1974, UT1-UTC= 0.0580075, Accumulated Leap Seconds=13 + { 2442291.50, 45.128391 }, //01 September 1974, UT1-UTC= 0.0556089, Accumulated Leap Seconds=13 + { 2442292.50, 45.130877 }, //02 September 1974, UT1-UTC= 0.0531226, Accumulated Leap Seconds=13 + { 2442293.50, 45.133415 }, //03 September 1974, UT1-UTC= 0.0505851, Accumulated Leap Seconds=13 + { 2442294.50, 45.135960 }, //04 September 1974, UT1-UTC= 0.0480399, Accumulated Leap Seconds=13 + { 2442295.50, 45.138470 }, //05 September 1974, UT1-UTC= 0.0455299, Accumulated Leap Seconds=13 + { 2442296.50, 45.140909 }, //06 September 1974, UT1-UTC= 0.0430908, Accumulated Leap Seconds=13 + { 2442297.50, 45.143257 }, //07 September 1974, UT1-UTC= 0.0407426, Accumulated Leap Seconds=13 + { 2442298.50, 45.145517 }, //08 September 1974, UT1-UTC= 0.0384828, Accumulated Leap Seconds=13 + { 2442299.50, 45.147720 }, //09 September 1974, UT1-UTC= 0.0362799, Accumulated Leap Seconds=13 + { 2442300.50, 45.149926 }, //10 September 1974, UT1-UTC= 0.0340742, Accumulated Leap Seconds=13 + { 2442301.50, 45.152215 }, //11 September 1974, UT1-UTC= 0.0317851, Accumulated Leap Seconds=13 + { 2442302.50, 45.154672 }, //12 September 1974, UT1-UTC= 0.0293283, Accumulated Leap Seconds=13 + { 2442303.50, 45.157359 }, //13 September 1974, UT1-UTC= 0.0266415, Accumulated Leap Seconds=13 + { 2442304.50, 45.160289 }, //14 September 1974, UT1-UTC= 0.0237106, Accumulated Leap Seconds=13 + { 2442305.50, 45.163416 }, //15 September 1974, UT1-UTC= 0.0205839, Accumulated Leap Seconds=13 + { 2442306.50, 45.166635 }, //16 September 1974, UT1-UTC= 0.0173645, Accumulated Leap Seconds=13 + { 2442307.50, 45.169820 }, //17 September 1974, UT1-UTC= 0.0141804, Accumulated Leap Seconds=13 + { 2442308.50, 45.172856 }, //18 September 1974, UT1-UTC= 0.0111442, Accumulated Leap Seconds=13 + { 2442309.50, 45.175679 }, //19 September 1974, UT1-UTC= 0.0083205, Accumulated Leap Seconds=13 + { 2442310.50, 45.178285 }, //20 September 1974, UT1-UTC= 0.0057149, Accumulated Leap Seconds=13 + { 2442311.50, 45.180715 }, //21 September 1974, UT1-UTC= 0.0032855, Accumulated Leap Seconds=13 + { 2442312.50, 45.183034 }, //22 September 1974, UT1-UTC= 0.0009657, Accumulated Leap Seconds=13 + { 2442313.50, 45.185314 }, //23 September 1974, UT1-UTC=-0.0013138, Accumulated Leap Seconds=13 + { 2442314.50, 45.187614 }, //24 September 1974, UT1-UTC=-0.0036138, Accumulated Leap Seconds=13 + { 2442315.50, 45.189982 }, //25 September 1974, UT1-UTC=-0.0059825, Accumulated Leap Seconds=13 + { 2442316.50, 45.192454 }, //26 September 1974, UT1-UTC=-0.0084542, Accumulated Leap Seconds=13 + { 2442317.50, 45.195047 }, //27 September 1974, UT1-UTC=-0.0110472, Accumulated Leap Seconds=13 + { 2442318.50, 45.197762 }, //28 September 1974, UT1-UTC=-0.0137616, Accumulated Leap Seconds=13 + { 2442319.50, 45.200580 }, //29 September 1974, UT1-UTC=-0.0165796, Accumulated Leap Seconds=13 + { 2442320.50, 45.203468 }, //30 September 1974, UT1-UTC=-0.0194678, Accumulated Leap Seconds=13 + { 2442321.50, 45.206383 }, //01 October 1974, UT1-UTC=-0.0223835, Accumulated Leap Seconds=13 + { 2442322.50, 45.209280 }, //02 October 1974, UT1-UTC=-0.0252801, Accumulated Leap Seconds=13 + { 2442323.50, 45.212115 }, //03 October 1974, UT1-UTC=-0.0281155, Accumulated Leap Seconds=13 + { 2442324.50, 45.214861 }, //04 October 1974, UT1-UTC=-0.0308605, Accumulated Leap Seconds=13 + { 2442325.50, 45.217508 }, //05 October 1974, UT1-UTC=-0.0335083, Accumulated Leap Seconds=13 + { 2442326.50, 45.220081 }, //06 October 1974, UT1-UTC=-0.0360812, Accumulated Leap Seconds=13 + { 2442327.50, 45.222630 }, //07 October 1974, UT1-UTC=-0.0386305, Accumulated Leap Seconds=13 + { 2442328.50, 45.225229 }, //08 October 1974, UT1-UTC=-0.0412288, Accumulated Leap Seconds=13 + { 2442329.50, 45.227954 }, //09 October 1974, UT1-UTC=-0.0439543, Accumulated Leap Seconds=13 + { 2442330.50, 45.230870 }, //10 October 1974, UT1-UTC=-0.0468704, Accumulated Leap Seconds=13 + { 2442331.50, 45.234006 }, //11 October 1974, UT1-UTC=-0.0500056, Accumulated Leap Seconds=13 + { 2442332.50, 45.237340 }, //12 October 1974, UT1-UTC=-0.0533405, Accumulated Leap Seconds=13 + { 2442333.50, 45.240806 }, //13 October 1974, UT1-UTC=-0.0568059, Accumulated Leap Seconds=13 + { 2442334.50, 45.244298 }, //14 October 1974, UT1-UTC=-0.0602980, Accumulated Leap Seconds=13 + { 2442335.50, 45.247706 }, //15 October 1974, UT1-UTC=-0.0637056, Accumulated Leap Seconds=13 + { 2442336.50, 45.250943 }, //16 October 1974, UT1-UTC=-0.0669432, Accumulated Leap Seconds=13 + { 2442337.50, 45.253974 }, //17 October 1974, UT1-UTC=-0.0699736, Accumulated Leap Seconds=13 + { 2442338.50, 45.256811 }, //18 October 1974, UT1-UTC=-0.0728115, Accumulated Leap Seconds=13 + { 2442339.50, 45.259510 }, //19 October 1974, UT1-UTC=-0.0755102, Accumulated Leap Seconds=13 + { 2442340.50, 45.262139 }, //20 October 1974, UT1-UTC=-0.0781390, Accumulated Leap Seconds=13 + { 2442341.50, 45.264764 }, //21 October 1974, UT1-UTC=-0.0807645, Accumulated Leap Seconds=13 + { 2442342.50, 45.267440 }, //22 October 1974, UT1-UTC=-0.0834400, Accumulated Leap Seconds=13 + { 2442343.50, 45.270204 }, //23 October 1974, UT1-UTC=-0.0862039, Accumulated Leap Seconds=13 + { 2442344.50, 45.273078 }, //24 October 1974, UT1-UTC=-0.0890785, Accumulated Leap Seconds=13 + { 2442345.50, 45.276070 }, //25 October 1974, UT1-UTC=-0.0920700, Accumulated Leap Seconds=13 + { 2442346.50, 45.279167 }, //26 October 1974, UT1-UTC=-0.0951674, Accumulated Leap Seconds=13 + { 2442347.50, 45.282344 }, //27 October 1974, UT1-UTC=-0.0983442, Accumulated Leap Seconds=13 + { 2442348.50, 45.285562 }, //28 October 1974, UT1-UTC=-0.1015618, Accumulated Leap Seconds=13 + { 2442349.50, 45.288776 }, //29 October 1974, UT1-UTC=-0.1047759, Accumulated Leap Seconds=13 + { 2442350.50, 45.291942 }, //30 October 1974, UT1-UTC=-0.1079424, Accumulated Leap Seconds=13 + { 2442351.50, 45.295025 }, //31 October 1974, UT1-UTC=-0.1110253, Accumulated Leap Seconds=13 + { 2442352.50, 45.298007 }, //01 November 1974, UT1-UTC=-0.1140068, Accumulated Leap Seconds=13 + { 2442353.50, 45.300897 }, //02 November 1974, UT1-UTC=-0.1168966, Accumulated Leap Seconds=13 + { 2442354.50, 45.303736 }, //03 November 1974, UT1-UTC=-0.1197360, Accumulated Leap Seconds=13 + { 2442355.50, 45.306592 }, //04 November 1974, UT1-UTC=-0.1225924, Accumulated Leap Seconds=13 + { 2442356.50, 45.309541 }, //05 November 1974, UT1-UTC=-0.1255415, Accumulated Leap Seconds=13 + { 2442357.50, 45.312646 }, //06 November 1974, UT1-UTC=-0.1286461, Accumulated Leap Seconds=13 + { 2442358.50, 45.315936 }, //07 November 1974, UT1-UTC=-0.1319364, Accumulated Leap Seconds=13 + { 2442359.50, 45.319400 }, //08 November 1974, UT1-UTC=-0.1354003, Accumulated Leap Seconds=13 + { 2442360.50, 45.322984 }, //09 November 1974, UT1-UTC=-0.1389844, Accumulated Leap Seconds=13 + { 2442361.50, 45.326605 }, //10 November 1974, UT1-UTC=-0.1426054, Accumulated Leap Seconds=13 + { 2442362.50, 45.330169 }, //11 November 1974, UT1-UTC=-0.1461694, Accumulated Leap Seconds=13 + { 2442363.50, 45.333595 }, //12 November 1974, UT1-UTC=-0.1495947, Accumulated Leap Seconds=13 + { 2442364.50, 45.336831 }, //13 November 1974, UT1-UTC=-0.1528314, Accumulated Leap Seconds=13 + { 2442365.50, 45.339872 }, //14 November 1974, UT1-UTC=-0.1558721, Accumulated Leap Seconds=13 + { 2442366.50, 45.342750 }, //15 November 1974, UT1-UTC=-0.1587500, Accumulated Leap Seconds=13 + { 2442367.50, 45.345524 }, //16 November 1974, UT1-UTC=-0.1615237, Accumulated Leap Seconds=13 + { 2442368.50, 45.348259 }, //17 November 1974, UT1-UTC=-0.1642589, Accumulated Leap Seconds=13 + { 2442369.50, 45.351013 }, //18 November 1974, UT1-UTC=-0.1670133, Accumulated Leap Seconds=13 + { 2442370.50, 45.353829 }, //19 November 1974, UT1-UTC=-0.1698291, Accumulated Leap Seconds=13 + { 2442371.50, 45.356731 }, //20 November 1974, UT1-UTC=-0.1727309, Accumulated Leap Seconds=13 + { 2442372.50, 45.359727 }, //21 November 1974, UT1-UTC=-0.1757270, Accumulated Leap Seconds=13 + { 2442373.50, 45.362810 }, //22 November 1974, UT1-UTC=-0.1788103, Accumulated Leap Seconds=13 + { 2442374.50, 45.365959 }, //23 November 1974, UT1-UTC=-0.1819591, Accumulated Leap Seconds=13 + { 2442375.50, 45.369141 }, //24 November 1974, UT1-UTC=-0.1851408, Accumulated Leap Seconds=13 + { 2442376.50, 45.372316 }, //25 November 1974, UT1-UTC=-0.1883156, Accumulated Leap Seconds=13 + { 2442377.50, 45.375442 }, //26 November 1974, UT1-UTC=-0.1914423, Accumulated Leap Seconds=13 + { 2442378.50, 45.378484 }, //27 November 1974, UT1-UTC=-0.1944842, Accumulated Leap Seconds=13 + { 2442379.50, 45.381417 }, //28 November 1974, UT1-UTC=-0.1974171, Accumulated Leap Seconds=13 + { 2442380.50, 45.384239 }, //29 November 1974, UT1-UTC=-0.2002394, Accumulated Leap Seconds=13 + { 2442381.50, 45.386981 }, //30 November 1974, UT1-UTC=-0.2029809, Accumulated Leap Seconds=13 + { 2442382.50, 45.389702 }, //01 December 1974, UT1-UTC=-0.2057017, Accumulated Leap Seconds=13 + { 2442383.50, 45.392480 }, //02 December 1974, UT1-UTC=-0.2084797, Accumulated Leap Seconds=13 + { 2442384.50, 45.395386 }, //03 December 1974, UT1-UTC=-0.2113859, Accumulated Leap Seconds=13 + { 2442385.50, 45.398459 }, //04 December 1974, UT1-UTC=-0.2144586, Accumulated Leap Seconds=13 + { 2442386.50, 45.401689 }, //05 December 1974, UT1-UTC=-0.2176890, Accumulated Leap Seconds=13 + { 2442387.50, 45.405023 }, //06 December 1974, UT1-UTC=-0.2210227, Accumulated Leap Seconds=13 + { 2442388.50, 45.408377 }, //07 December 1974, UT1-UTC=-0.2243769, Accumulated Leap Seconds=13 + { 2442389.50, 45.411663 }, //08 December 1974, UT1-UTC=-0.2276635, Accumulated Leap Seconds=13 + { 2442390.50, 45.414809 }, //09 December 1974, UT1-UTC=-0.2308093, Accumulated Leap Seconds=13 + { 2442391.50, 45.417770 }, //10 December 1974, UT1-UTC=-0.2337703, Accumulated Leap Seconds=13 + { 2442392.50, 45.420537 }, //11 December 1974, UT1-UTC=-0.2365371, Accumulated Leap Seconds=13 + { 2442393.50, 45.423134 }, //12 December 1974, UT1-UTC=-0.2391339, Accumulated Leap Seconds=13 + { 2442394.50, 45.425610 }, //13 December 1974, UT1-UTC=-0.2416100, Accumulated Leap Seconds=13 + { 2442395.50, 45.428027 }, //14 December 1974, UT1-UTC=-0.2440273, Accumulated Leap Seconds=13 + { 2442396.50, 45.430446 }, //15 December 1974, UT1-UTC=-0.2464465, Accumulated Leap Seconds=13 + { 2442397.50, 45.432916 }, //16 December 1974, UT1-UTC=-0.2489155, Accumulated Leap Seconds=13 + { 2442398.50, 45.435465 }, //17 December 1974, UT1-UTC=-0.2514648, Accumulated Leap Seconds=13 + { 2442399.50, 45.438106 }, //18 December 1974, UT1-UTC=-0.2541065, Accumulated Leap Seconds=13 + { 2442400.50, 45.440836 }, //19 December 1974, UT1-UTC=-0.2568362, Accumulated Leap Seconds=13 + { 2442401.50, 45.443636 }, //20 December 1974, UT1-UTC=-0.2596358, Accumulated Leap Seconds=13 + { 2442402.50, 45.446477 }, //21 December 1974, UT1-UTC=-0.2624767, Accumulated Leap Seconds=13 + { 2442403.50, 45.449324 }, //22 December 1974, UT1-UTC=-0.2653240, Accumulated Leap Seconds=13 + { 2442404.50, 45.452141 }, //23 December 1974, UT1-UTC=-0.2681412, Accumulated Leap Seconds=13 + { 2442405.50, 45.454895 }, //24 December 1974, UT1-UTC=-0.2708955, Accumulated Leap Seconds=13 + { 2442406.50, 45.457563 }, //25 December 1974, UT1-UTC=-0.2735629, Accumulated Leap Seconds=13 + { 2442407.50, 45.460136 }, //26 December 1974, UT1-UTC=-0.2761359, Accumulated Leap Seconds=13 + { 2442408.50, 45.462633 }, //27 December 1974, UT1-UTC=-0.2786327, Accumulated Leap Seconds=13 + { 2442409.50, 45.465103 }, //28 December 1974, UT1-UTC=-0.2811029, Accumulated Leap Seconds=13 + { 2442410.50, 45.467622 }, //29 December 1974, UT1-UTC=-0.2836216, Accumulated Leap Seconds=13 + { 2442411.50, 45.470270 }, //30 December 1974, UT1-UTC=-0.2862702, Accumulated Leap Seconds=13 + { 2442412.50, 45.473106 }, //31 December 1974, UT1-UTC=-0.2891063, Accumulated Leap Seconds=13 + { 2442413.50, 45.476138 }, //01 January 1975, UT1-UTC= 0.7078620, Accumulated Leap Seconds=14 + { 2442414.50, 45.479316 }, //02 January 1975, UT1-UTC= 0.7046843, Accumulated Leap Seconds=14 + { 2442415.50, 45.482546 }, //03 January 1975, UT1-UTC= 0.7014537, Accumulated Leap Seconds=14 + { 2442416.50, 45.485725 }, //04 January 1975, UT1-UTC= 0.6982754, Accumulated Leap Seconds=14 + { 2442417.50, 45.488764 }, //05 January 1975, UT1-UTC= 0.6952360, Accumulated Leap Seconds=14 + { 2442418.50, 45.491615 }, //06 January 1975, UT1-UTC= 0.6923847, Accumulated Leap Seconds=14 + { 2442419.50, 45.494271 }, //07 January 1975, UT1-UTC= 0.6897288, Accumulated Leap Seconds=14 + { 2442420.50, 45.496758 }, //08 January 1975, UT1-UTC= 0.6872419, Accumulated Leap Seconds=14 + { 2442421.50, 45.499125 }, //09 January 1975, UT1-UTC= 0.6848751, Accumulated Leap Seconds=14 + { 2442422.50, 45.501431 }, //10 January 1975, UT1-UTC= 0.6825688, Accumulated Leap Seconds=14 + { 2442423.50, 45.503737 }, //11 January 1975, UT1-UTC= 0.6802626, Accumulated Leap Seconds=14 + { 2442424.50, 45.506095 }, //12 January 1975, UT1-UTC= 0.6779046, Accumulated Leap Seconds=14 + { 2442425.50, 45.508542 }, //13 January 1975, UT1-UTC= 0.6754580, Accumulated Leap Seconds=14 + { 2442426.50, 45.511095 }, //14 January 1975, UT1-UTC= 0.6729050, Accumulated Leap Seconds=14 + { 2442427.50, 45.513754 }, //15 January 1975, UT1-UTC= 0.6702462, Accumulated Leap Seconds=14 + { 2442428.50, 45.516502 }, //16 January 1975, UT1-UTC= 0.6674983, Accumulated Leap Seconds=14 + { 2442429.50, 45.519311 }, //17 January 1975, UT1-UTC= 0.6646893, Accumulated Leap Seconds=14 + { 2442430.50, 45.522146 }, //18 January 1975, UT1-UTC= 0.6618535, Accumulated Leap Seconds=14 + { 2442431.50, 45.524973 }, //19 January 1975, UT1-UTC= 0.6590266, Accumulated Leap Seconds=14 + { 2442432.50, 45.527759 }, //20 January 1975, UT1-UTC= 0.6562407, Accumulated Leap Seconds=14 + { 2442433.50, 45.530480 }, //21 January 1975, UT1-UTC= 0.6535197, Accumulated Leap Seconds=14 + { 2442434.50, 45.533126 }, //22 January 1975, UT1-UTC= 0.6508739, Accumulated Leap Seconds=14 + { 2442435.50, 45.535706 }, //23 January 1975, UT1-UTC= 0.6482936, Accumulated Leap Seconds=14 + { 2442436.50, 45.538258 }, //24 January 1975, UT1-UTC= 0.6457422, Accumulated Leap Seconds=14 + { 2442437.50, 45.540845 }, //25 January 1975, UT1-UTC= 0.6431545, Accumulated Leap Seconds=14 + { 2442438.50, 45.543552 }, //26 January 1975, UT1-UTC= 0.6404476, Accumulated Leap Seconds=14 + { 2442439.50, 45.546455 }, //27 January 1975, UT1-UTC= 0.6375449, Accumulated Leap Seconds=14 + { 2442440.50, 45.549591 }, //28 January 1975, UT1-UTC= 0.6344086, Accumulated Leap Seconds=14 + { 2442441.50, 45.552938 }, //29 January 1975, UT1-UTC= 0.6310622, Accumulated Leap Seconds=14 + { 2442442.50, 45.556410 }, //30 January 1975, UT1-UTC= 0.6275904, Accumulated Leap Seconds=14 + { 2442443.50, 45.559886 }, //31 January 1975, UT1-UTC= 0.6241144, Accumulated Leap Seconds=14 + { 2442444.50, 45.563249 }, //01 February 1975, UT1-UTC= 0.6207515, Accumulated Leap Seconds=14 + { 2442445.50, 45.566419 }, //02 February 1975, UT1-UTC= 0.6175812, Accumulated Leap Seconds=14 + { 2442446.50, 45.569371 }, //03 February 1975, UT1-UTC= 0.6146292, Accumulated Leap Seconds=14 + { 2442447.50, 45.572127 }, //04 February 1975, UT1-UTC= 0.6118733, Accumulated Leap Seconds=14 + { 2442448.50, 45.574738 }, //05 February 1975, UT1-UTC= 0.6092617, Accumulated Leap Seconds=14 + { 2442449.50, 45.577269 }, //06 February 1975, UT1-UTC= 0.6067312, Accumulated Leap Seconds=14 + { 2442450.50, 45.579780 }, //07 February 1975, UT1-UTC= 0.6042198, Accumulated Leap Seconds=14 + { 2442451.50, 45.582326 }, //08 February 1975, UT1-UTC= 0.6016743, Accumulated Leap Seconds=14 + { 2442452.50, 45.584946 }, //09 February 1975, UT1-UTC= 0.5990538, Accumulated Leap Seconds=14 + { 2442453.50, 45.587666 }, //10 February 1975, UT1-UTC= 0.5963343, Accumulated Leap Seconds=14 + { 2442454.50, 45.590489 }, //11 February 1975, UT1-UTC= 0.5935105, Accumulated Leap Seconds=14 + { 2442455.50, 45.593405 }, //12 February 1975, UT1-UTC= 0.5905952, Accumulated Leap Seconds=14 + { 2442456.50, 45.596384 }, //13 February 1975, UT1-UTC= 0.5876157, Accumulated Leap Seconds=14 + { 2442457.50, 45.599392 }, //14 February 1975, UT1-UTC= 0.5846077, Accumulated Leap Seconds=14 + { 2442458.50, 45.602390 }, //15 February 1975, UT1-UTC= 0.5816096, Accumulated Leap Seconds=14 + { 2442459.50, 45.605343 }, //16 February 1975, UT1-UTC= 0.5786568, Accumulated Leap Seconds=14 + { 2442460.50, 45.608223 }, //17 February 1975, UT1-UTC= 0.5757765, Accumulated Leap Seconds=14 + { 2442461.50, 45.611016 }, //18 February 1975, UT1-UTC= 0.5729835, Accumulated Leap Seconds=14 + { 2442462.50, 45.613726 }, //19 February 1975, UT1-UTC= 0.5702742, Accumulated Leap Seconds=14 + { 2442463.50, 45.616378 }, //20 February 1975, UT1-UTC= 0.5676221, Accumulated Leap Seconds=14 + { 2442464.50, 45.619026 }, //21 February 1975, UT1-UTC= 0.5649742, Accumulated Leap Seconds=14 + { 2442465.50, 45.621745 }, //22 February 1975, UT1-UTC= 0.5622551, Accumulated Leap Seconds=14 + { 2442466.50, 45.624618 }, //23 February 1975, UT1-UTC= 0.5593821, Accumulated Leap Seconds=14 + { 2442467.50, 45.627708 }, //24 February 1975, UT1-UTC= 0.5562918, Accumulated Leap Seconds=14 + { 2442468.50, 45.631031 }, //25 February 1975, UT1-UTC= 0.5529687, Accumulated Leap Seconds=14 + { 2442469.50, 45.634538 }, //26 February 1975, UT1-UTC= 0.5494621, Accumulated Leap Seconds=14 + { 2442470.50, 45.638122 }, //27 February 1975, UT1-UTC= 0.5458778, Accumulated Leap Seconds=14 + { 2442471.50, 45.641654 }, //28 February 1975, UT1-UTC= 0.5423464, Accumulated Leap Seconds=14 + { 2442472.50, 45.645019 }, //01 March 1975, UT1-UTC= 0.5389811, Accumulated Leap Seconds=14 + { 2442473.50, 45.648156 }, //02 March 1975, UT1-UTC= 0.5358444, Accumulated Leap Seconds=14 + { 2442474.50, 45.651062 }, //03 March 1975, UT1-UTC= 0.5329378, Accumulated Leap Seconds=14 + { 2442475.50, 45.653784 }, //04 March 1975, UT1-UTC= 0.5302157, Accumulated Leap Seconds=14 + { 2442476.50, 45.656390 }, //05 March 1975, UT1-UTC= 0.5276097, Accumulated Leap Seconds=14 + { 2442477.50, 45.658950 }, //06 March 1975, UT1-UTC= 0.5250500, Accumulated Leap Seconds=14 + { 2442478.50, 45.661523 }, //07 March 1975, UT1-UTC= 0.5224774, Accumulated Leap Seconds=14 + { 2442479.50, 45.664153 }, //08 March 1975, UT1-UTC= 0.5198474, Accumulated Leap Seconds=14 + { 2442480.50, 45.666870 }, //09 March 1975, UT1-UTC= 0.5171301, Accumulated Leap Seconds=14 + { 2442481.50, 45.669688 }, //10 March 1975, UT1-UTC= 0.5143123, Accumulated Leap Seconds=14 + { 2442482.50, 45.672602 }, //11 March 1975, UT1-UTC= 0.5113982, Accumulated Leap Seconds=14 + { 2442483.50, 45.675591 }, //12 March 1975, UT1-UTC= 0.5084088, Accumulated Leap Seconds=14 + { 2442484.50, 45.678623 }, //13 March 1975, UT1-UTC= 0.5053768, Accumulated Leap Seconds=14 + { 2442485.50, 45.681660 }, //14 March 1975, UT1-UTC= 0.5023401, Accumulated Leap Seconds=14 + { 2442486.50, 45.684664 }, //15 March 1975, UT1-UTC= 0.4993360, Accumulated Leap Seconds=14 + { 2442487.50, 45.687605 }, //16 March 1975, UT1-UTC= 0.4963947, Accumulated Leap Seconds=14 + { 2442488.50, 45.690465 }, //17 March 1975, UT1-UTC= 0.4935350, Accumulated Leap Seconds=14 + { 2442489.50, 45.693241 }, //18 March 1975, UT1-UTC= 0.4907588, Accumulated Leap Seconds=14 + { 2442490.50, 45.695953 }, //19 March 1975, UT1-UTC= 0.4880470, Accumulated Leap Seconds=14 + { 2442491.50, 45.698643 }, //20 March 1975, UT1-UTC= 0.4853569, Accumulated Leap Seconds=14 + { 2442492.50, 45.701376 }, //21 March 1975, UT1-UTC= 0.4826241, Accumulated Leap Seconds=14 + { 2442493.50, 45.704228 }, //22 March 1975, UT1-UTC= 0.4797722, Accumulated Leap Seconds=14 + { 2442494.50, 45.707270 }, //23 March 1975, UT1-UTC= 0.4767299, Accumulated Leap Seconds=14 + { 2442495.50, 45.710545 }, //24 March 1975, UT1-UTC= 0.4734549, Accumulated Leap Seconds=14 + { 2442496.50, 45.714043 }, //25 March 1975, UT1-UTC= 0.4699565, Accumulated Leap Seconds=14 + { 2442497.50, 45.717697 }, //26 March 1975, UT1-UTC= 0.4663029, Accumulated Leap Seconds=14 + { 2442498.50, 45.721392 }, //27 March 1975, UT1-UTC= 0.4626084, Accumulated Leap Seconds=14 + { 2442499.50, 45.725001 }, //28 March 1975, UT1-UTC= 0.4589992, Accumulated Leap Seconds=14 + { 2442500.50, 45.728427 }, //29 March 1975, UT1-UTC= 0.4555732, Accumulated Leap Seconds=14 + { 2442501.50, 45.731627 }, //30 March 1975, UT1-UTC= 0.4523729, Accumulated Leap Seconds=14 + { 2442502.50, 45.734619 }, //31 March 1975, UT1-UTC= 0.4493813, Accumulated Leap Seconds=14 + { 2442503.50, 45.737459 }, //01 April 1975, UT1-UTC= 0.4465407, Accumulated Leap Seconds=14 + { 2442504.50, 45.740221 }, //02 April 1975, UT1-UTC= 0.4437788, Accumulated Leap Seconds=14 + { 2442505.50, 45.742970 }, //03 April 1975, UT1-UTC= 0.4410300, Accumulated Leap Seconds=14 + { 2442506.50, 45.745755 }, //04 April 1975, UT1-UTC= 0.4382447, Accumulated Leap Seconds=14 + { 2442507.50, 45.748609 }, //05 April 1975, UT1-UTC= 0.4353906, Accumulated Leap Seconds=14 + { 2442508.50, 45.751549 }, //06 April 1975, UT1-UTC= 0.4324509, Accumulated Leap Seconds=14 + { 2442509.50, 45.754576 }, //07 April 1975, UT1-UTC= 0.4294241, Accumulated Leap Seconds=14 + { 2442510.50, 45.757676 }, //08 April 1975, UT1-UTC= 0.4263244, Accumulated Leap Seconds=14 + { 2442511.50, 45.760821 }, //09 April 1975, UT1-UTC= 0.4231794, Accumulated Leap Seconds=14 + { 2442512.50, 45.763975 }, //10 April 1975, UT1-UTC= 0.4200251, Accumulated Leap Seconds=14 + { 2442513.50, 45.767101 }, //11 April 1975, UT1-UTC= 0.4168989, Accumulated Leap Seconds=14 + { 2442514.50, 45.770166 }, //12 April 1975, UT1-UTC= 0.4138340, Accumulated Leap Seconds=14 + { 2442515.50, 45.773147 }, //13 April 1975, UT1-UTC= 0.4108533, Accumulated Leap Seconds=14 + { 2442516.50, 45.776035 }, //14 April 1975, UT1-UTC= 0.4079649, Accumulated Leap Seconds=14 + { 2442517.50, 45.778843 }, //15 April 1975, UT1-UTC= 0.4051570, Accumulated Leap Seconds=14 + { 2442518.50, 45.781605 }, //16 April 1975, UT1-UTC= 0.4023952, Accumulated Leap Seconds=14 + { 2442519.50, 45.784375 }, //17 April 1975, UT1-UTC= 0.3996246, Accumulated Leap Seconds=14 + { 2442520.50, 45.787222 }, //18 April 1975, UT1-UTC= 0.3967781, Accumulated Leap Seconds=14 + { 2442521.50, 45.790210 }, //19 April 1975, UT1-UTC= 0.3937899, Accumulated Leap Seconds=14 + { 2442522.50, 45.793387 }, //20 April 1975, UT1-UTC= 0.3906134, Accumulated Leap Seconds=14 + { 2442523.50, 45.796762 }, //21 April 1975, UT1-UTC= 0.3872379, Accumulated Leap Seconds=14 + { 2442524.50, 45.800300 }, //22 April 1975, UT1-UTC= 0.3836997, Accumulated Leap Seconds=14 + { 2442525.50, 45.803921 }, //23 April 1975, UT1-UTC= 0.3800794, Accumulated Leap Seconds=14 + { 2442526.50, 45.807516 }, //24 April 1975, UT1-UTC= 0.3764845, Accumulated Leap Seconds=14 + { 2442527.50, 45.810981 }, //25 April 1975, UT1-UTC= 0.3730187, Accumulated Leap Seconds=14 + { 2442528.50, 45.814249 }, //26 April 1975, UT1-UTC= 0.3697510, Accumulated Leap Seconds=14 + { 2442529.50, 45.817302 }, //27 April 1975, UT1-UTC= 0.3666976, Accumulated Leap Seconds=14 + { 2442530.50, 45.820176 }, //28 April 1975, UT1-UTC= 0.3638240, Accumulated Leap Seconds=14 + { 2442531.50, 45.822934 }, //29 April 1975, UT1-UTC= 0.3610656, Accumulated Leap Seconds=14 + { 2442532.50, 45.825648 }, //30 April 1975, UT1-UTC= 0.3583524, Accumulated Leap Seconds=14 + { 2442533.50, 45.828372 }, //01 May 1975, UT1-UTC= 0.3556279, Accumulated Leap Seconds=14 + { 2442534.50, 45.831144 }, //02 May 1975, UT1-UTC= 0.3528558, Accumulated Leap Seconds=14 + { 2442535.50, 45.833982 }, //03 May 1975, UT1-UTC= 0.3500183, Accumulated Leap Seconds=14 + { 2442536.50, 45.836887 }, //04 May 1975, UT1-UTC= 0.3471131, Accumulated Leap Seconds=14 + { 2442537.50, 45.839849 }, //05 May 1975, UT1-UTC= 0.3441513, Accumulated Leap Seconds=14 + { 2442538.50, 45.842844 }, //06 May 1975, UT1-UTC= 0.3411564, Accumulated Leap Seconds=14 + { 2442539.50, 45.845839 }, //07 May 1975, UT1-UTC= 0.3381611, Accumulated Leap Seconds=14 + { 2442540.50, 45.848799 }, //08 May 1975, UT1-UTC= 0.3352008, Accumulated Leap Seconds=14 + { 2442541.50, 45.851691 }, //09 May 1975, UT1-UTC= 0.3323086, Accumulated Leap Seconds=14 + { 2442542.50, 45.854491 }, //10 May 1975, UT1-UTC= 0.3295094, Accumulated Leap Seconds=14 + { 2442543.50, 45.857185 }, //11 May 1975, UT1-UTC= 0.3268149, Accumulated Leap Seconds=14 + { 2442544.50, 45.859781 }, //12 May 1975, UT1-UTC= 0.3242189, Accumulated Leap Seconds=14 + { 2442545.50, 45.862307 }, //13 May 1975, UT1-UTC= 0.3216932, Accumulated Leap Seconds=14 + { 2442546.50, 45.864812 }, //14 May 1975, UT1-UTC= 0.3191880, Accumulated Leap Seconds=14 + { 2442547.50, 45.867361 }, //15 May 1975, UT1-UTC= 0.3166393, Accumulated Leap Seconds=14 + { 2442548.50, 45.870016 }, //16 May 1975, UT1-UTC= 0.3139843, Accumulated Leap Seconds=14 + { 2442549.50, 45.872822 }, //17 May 1975, UT1-UTC= 0.3111779, Accumulated Leap Seconds=14 + { 2442550.50, 45.875793 }, //18 May 1975, UT1-UTC= 0.3082074, Accumulated Leap Seconds=14 + { 2442551.50, 45.878901 }, //19 May 1975, UT1-UTC= 0.3050988, Accumulated Leap Seconds=14 + { 2442552.50, 45.882086 }, //20 May 1975, UT1-UTC= 0.3019142, Accumulated Leap Seconds=14 + { 2442553.50, 45.885261 }, //21 May 1975, UT1-UTC= 0.2987388, Accumulated Leap Seconds=14 + { 2442554.50, 45.888338 }, //22 May 1975, UT1-UTC= 0.2956617, Accumulated Leap Seconds=14 + { 2442555.50, 45.891247 }, //23 May 1975, UT1-UTC= 0.2927525, Accumulated Leap Seconds=14 + { 2442556.50, 45.893957 }, //24 May 1975, UT1-UTC= 0.2900434, Accumulated Leap Seconds=14 + { 2442557.50, 45.896479 }, //25 May 1975, UT1-UTC= 0.2875213, Accumulated Leap Seconds=14 + { 2442558.50, 45.898864 }, //26 May 1975, UT1-UTC= 0.2851360, Accumulated Leap Seconds=14 + { 2442559.50, 45.901180 }, //27 May 1975, UT1-UTC= 0.2828200, Accumulated Leap Seconds=14 + { 2442560.50, 45.903491 }, //28 May 1975, UT1-UTC= 0.2805093, Accumulated Leap Seconds=14 + { 2442561.50, 45.905842 }, //29 May 1975, UT1-UTC= 0.2781577, Accumulated Leap Seconds=14 + { 2442562.50, 45.908259 }, //30 May 1975, UT1-UTC= 0.2757407, Accumulated Leap Seconds=14 + { 2442563.50, 45.910747 }, //31 May 1975, UT1-UTC= 0.2732527, Accumulated Leap Seconds=14 + { 2442564.50, 45.913298 }, //01 June 1975, UT1-UTC= 0.2707024, Accumulated Leap Seconds=14 + { 2442565.50, 45.915890 }, //02 June 1975, UT1-UTC= 0.2681096, Accumulated Leap Seconds=14 + { 2442566.50, 45.918497 }, //03 June 1975, UT1-UTC= 0.2655034, Accumulated Leap Seconds=14 + { 2442567.50, 45.921081 }, //04 June 1975, UT1-UTC= 0.2629185, Accumulated Leap Seconds=14 + { 2442568.50, 45.923611 }, //05 June 1975, UT1-UTC= 0.2603892, Accumulated Leap Seconds=14 + { 2442569.50, 45.926057 }, //06 June 1975, UT1-UTC= 0.2579426, Accumulated Leap Seconds=14 + { 2442570.50, 45.928406 }, //07 June 1975, UT1-UTC= 0.2555943, Accumulated Leap Seconds=14 + { 2442571.50, 45.930656 }, //08 June 1975, UT1-UTC= 0.2533436, Accumulated Leap Seconds=14 + { 2442572.50, 45.932830 }, //09 June 1975, UT1-UTC= 0.2511698, Accumulated Leap Seconds=14 + { 2442573.50, 45.934971 }, //10 June 1975, UT1-UTC= 0.2490292, Accumulated Leap Seconds=14 + { 2442574.50, 45.937140 }, //11 June 1975, UT1-UTC= 0.2468600, Accumulated Leap Seconds=14 + { 2442575.50, 45.939404 }, //12 June 1975, UT1-UTC= 0.2445960, Accumulated Leap Seconds=14 + { 2442576.50, 45.941813 }, //13 June 1975, UT1-UTC= 0.2421869, Accumulated Leap Seconds=14 + { 2442577.50, 45.944383 }, //14 June 1975, UT1-UTC= 0.2396174, Accumulated Leap Seconds=14 + { 2442578.50, 45.947085 }, //15 June 1975, UT1-UTC= 0.2369150, Accumulated Leap Seconds=14 + { 2442579.50, 45.949855 }, //16 June 1975, UT1-UTC= 0.2341448, Accumulated Leap Seconds=14 + { 2442580.50, 45.952608 }, //17 June 1975, UT1-UTC= 0.2313915, Accumulated Leap Seconds=14 + { 2442581.50, 45.955261 }, //18 June 1975, UT1-UTC= 0.2287388, Accumulated Leap Seconds=14 + { 2442582.50, 45.957751 }, //19 June 1975, UT1-UTC= 0.2262494, Accumulated Leap Seconds=14 + { 2442583.50, 45.960046 }, //20 June 1975, UT1-UTC= 0.2239539, Accumulated Leap Seconds=14 + { 2442584.50, 45.962153 }, //21 June 1975, UT1-UTC= 0.2218465, Accumulated Leap Seconds=14 + { 2442585.50, 45.964111 }, //22 June 1975, UT1-UTC= 0.2198887, Accumulated Leap Seconds=14 + { 2442586.50, 45.965979 }, //23 June 1975, UT1-UTC= 0.2180206, Accumulated Leap Seconds=14 + { 2442587.50, 45.967821 }, //24 June 1975, UT1-UTC= 0.2161786, Accumulated Leap Seconds=14 + { 2442588.50, 45.969690 }, //25 June 1975, UT1-UTC= 0.2143102, Accumulated Leap Seconds=14 + { 2442589.50, 45.971617 }, //26 June 1975, UT1-UTC= 0.2123831, Accumulated Leap Seconds=14 + { 2442590.50, 45.973613 }, //27 June 1975, UT1-UTC= 0.2103870, Accumulated Leap Seconds=14 + { 2442591.50, 45.975670 }, //28 June 1975, UT1-UTC= 0.2083295, Accumulated Leap Seconds=14 + { 2442592.50, 45.977769 }, //29 June 1975, UT1-UTC= 0.2062314, Accumulated Leap Seconds=14 + { 2442593.50, 45.979879 }, //30 June 1975, UT1-UTC= 0.2041206, Accumulated Leap Seconds=14 + { 2442594.50, 45.981970 }, //01 July 1975, UT1-UTC= 0.2020295, Accumulated Leap Seconds=14 + { 2442595.50, 45.984010 }, //02 July 1975, UT1-UTC= 0.1999898, Accumulated Leap Seconds=14 + { 2442596.50, 45.985972 }, //03 July 1975, UT1-UTC= 0.1980282, Accumulated Leap Seconds=14 + { 2442597.50, 45.987839 }, //04 July 1975, UT1-UTC= 0.1961611, Accumulated Leap Seconds=14 + { 2442598.50, 45.989610 }, //05 July 1975, UT1-UTC= 0.1943904, Accumulated Leap Seconds=14 + { 2442599.50, 45.991300 }, //06 July 1975, UT1-UTC= 0.1926999, Accumulated Leap Seconds=14 + { 2442600.50, 45.992948 }, //07 July 1975, UT1-UTC= 0.1910515, Accumulated Leap Seconds=14 + { 2442601.50, 45.994614 }, //08 July 1975, UT1-UTC= 0.1893860, Accumulated Leap Seconds=14 + { 2442602.50, 45.996369 }, //09 July 1975, UT1-UTC= 0.1876314, Accumulated Leap Seconds=14 + { 2442603.50, 45.998278 }, //10 July 1975, UT1-UTC= 0.1857224, Accumulated Leap Seconds=14 + { 2442604.50, 46.000375 }, //11 July 1975, UT1-UTC= 0.1836248, Accumulated Leap Seconds=14 + { 2442605.50, 46.002647 }, //12 July 1975, UT1-UTC= 0.1813529, Accumulated Leap Seconds=14 + { 2442606.50, 46.005029 }, //13 July 1975, UT1-UTC= 0.1789710, Accumulated Leap Seconds=14 + { 2442607.50, 46.007425 }, //14 July 1975, UT1-UTC= 0.1765746, Accumulated Leap Seconds=14 + { 2442608.50, 46.009739 }, //15 July 1975, UT1-UTC= 0.1742613, Accumulated Leap Seconds=14 + { 2442609.50, 46.011896 }, //16 July 1975, UT1-UTC= 0.1721038, Accumulated Leap Seconds=14 + { 2442610.50, 46.013865 }, //17 July 1975, UT1-UTC= 0.1701352, Accumulated Leap Seconds=14 + { 2442611.50, 46.015652 }, //18 July 1975, UT1-UTC= 0.1683480, Accumulated Leap Seconds=14 + { 2442612.50, 46.017297 }, //19 July 1975, UT1-UTC= 0.1667032, Accumulated Leap Seconds=14 + { 2442613.50, 46.018857 }, //20 July 1975, UT1-UTC= 0.1651432, Accumulated Leap Seconds=14 + { 2442614.50, 46.020395 }, //21 July 1975, UT1-UTC= 0.1636046, Accumulated Leap Seconds=14 + { 2442615.50, 46.021969 }, //22 July 1975, UT1-UTC= 0.1620306, Accumulated Leap Seconds=14 + { 2442616.50, 46.023620 }, //23 July 1975, UT1-UTC= 0.1603799, Accumulated Leap Seconds=14 + { 2442617.50, 46.025368 }, //24 July 1975, UT1-UTC= 0.1586320, Accumulated Leap Seconds=14 + { 2442618.50, 46.027213 }, //25 July 1975, UT1-UTC= 0.1567872, Accumulated Leap Seconds=14 + { 2442619.50, 46.029138 }, //26 July 1975, UT1-UTC= 0.1548623, Accumulated Leap Seconds=14 + { 2442620.50, 46.031115 }, //27 July 1975, UT1-UTC= 0.1528845, Accumulated Leap Seconds=14 + { 2442621.50, 46.033114 }, //28 July 1975, UT1-UTC= 0.1508862, Accumulated Leap Seconds=14 + { 2442622.50, 46.035100 }, //29 July 1975, UT1-UTC= 0.1488999, Accumulated Leap Seconds=14 + { 2442623.50, 46.037046 }, //30 July 1975, UT1-UTC= 0.1469542, Accumulated Leap Seconds=14 + { 2442624.50, 46.038931 }, //31 July 1975, UT1-UTC= 0.1450691, Accumulated Leap Seconds=14 + { 2442625.50, 46.040748 }, //01 August 1975, UT1-UTC= 0.1432516, Accumulated Leap Seconds=14 + { 2442626.50, 46.042507 }, //02 August 1975, UT1-UTC= 0.1414926, Accumulated Leap Seconds=14 + { 2442627.50, 46.044236 }, //03 August 1975, UT1-UTC= 0.1397635, Accumulated Leap Seconds=14 + { 2442628.50, 46.045986 }, //04 August 1975, UT1-UTC= 0.1380145, Accumulated Leap Seconds=14 + { 2442629.50, 46.047822 }, //05 August 1975, UT1-UTC= 0.1361780, Accumulated Leap Seconds=14 + { 2442630.50, 46.049819 }, //06 August 1975, UT1-UTC= 0.1341813, Accumulated Leap Seconds=14 + { 2442631.50, 46.052031 }, //07 August 1975, UT1-UTC= 0.1319693, Accumulated Leap Seconds=14 + { 2442632.50, 46.054470 }, //08 August 1975, UT1-UTC= 0.1295300, Accumulated Leap Seconds=14 + { 2442633.50, 46.057091 }, //09 August 1975, UT1-UTC= 0.1269087, Accumulated Leap Seconds=14 + { 2442634.50, 46.059799 }, //10 August 1975, UT1-UTC= 0.1242014, Accumulated Leap Seconds=14 + { 2442635.50, 46.062474 }, //11 August 1975, UT1-UTC= 0.1215261, Accumulated Leap Seconds=14 + { 2442636.50, 46.065014 }, //12 August 1975, UT1-UTC= 0.1189857, Accumulated Leap Seconds=14 + { 2442637.50, 46.067361 }, //13 August 1975, UT1-UTC= 0.1166393, Accumulated Leap Seconds=14 + { 2442638.50, 46.069507 }, //14 August 1975, UT1-UTC= 0.1144927, Accumulated Leap Seconds=14 + { 2442639.50, 46.071491 }, //15 August 1975, UT1-UTC= 0.1125086, Accumulated Leap Seconds=14 + { 2442640.50, 46.073374 }, //16 August 1975, UT1-UTC= 0.1106264, Accumulated Leap Seconds=14 + { 2442641.50, 46.075220 }, //17 August 1975, UT1-UTC= 0.1087804, Accumulated Leap Seconds=14 + { 2442642.50, 46.077087 }, //18 August 1975, UT1-UTC= 0.1069126, Accumulated Leap Seconds=14 + { 2442643.50, 46.079021 }, //19 August 1975, UT1-UTC= 0.1049793, Accumulated Leap Seconds=14 + { 2442644.50, 46.081045 }, //20 August 1975, UT1-UTC= 0.1029550, Accumulated Leap Seconds=14 + { 2442645.50, 46.083167 }, //21 August 1975, UT1-UTC= 0.1008334, Accumulated Leap Seconds=14 + { 2442646.50, 46.085373 }, //22 August 1975, UT1-UTC= 0.0986271, Accumulated Leap Seconds=14 + { 2442647.50, 46.087638 }, //23 August 1975, UT1-UTC= 0.0963623, Accumulated Leap Seconds=14 + { 2442648.50, 46.089927 }, //24 August 1975, UT1-UTC= 0.0940731, Accumulated Leap Seconds=14 + { 2442649.50, 46.092205 }, //25 August 1975, UT1-UTC= 0.0917951, Accumulated Leap Seconds=14 + { 2442650.50, 46.094441 }, //26 August 1975, UT1-UTC= 0.0895594, Accumulated Leap Seconds=14 + { 2442651.50, 46.096611 }, //27 August 1975, UT1-UTC= 0.0873887, Accumulated Leap Seconds=14 + { 2442652.50, 46.098707 }, //28 August 1975, UT1-UTC= 0.0852931, Accumulated Leap Seconds=14 + { 2442653.50, 46.100733 }, //29 August 1975, UT1-UTC= 0.0832673, Accumulated Leap Seconds=14 + { 2442654.50, 46.102711 }, //30 August 1975, UT1-UTC= 0.0812891, Accumulated Leap Seconds=14 + { 2442655.50, 46.104683 }, //31 August 1975, UT1-UTC= 0.0793170, Accumulated Leap Seconds=14 + { 2442656.50, 46.106708 }, //01 September 1975, UT1-UTC= 0.0772916, Accumulated Leap Seconds=14 + { 2442657.50, 46.108859 }, //02 September 1975, UT1-UTC= 0.0751413, Accumulated Leap Seconds=14 + { 2442658.50, 46.111202 }, //03 September 1975, UT1-UTC= 0.0727981, Accumulated Leap Seconds=14 + { 2442659.50, 46.113779 }, //04 September 1975, UT1-UTC= 0.0702207, Accumulated Leap Seconds=14 + { 2442660.50, 46.116582 }, //05 September 1975, UT1-UTC= 0.0674183, Accumulated Leap Seconds=14 + { 2442661.50, 46.119542 }, //06 September 1975, UT1-UTC= 0.0644583, Accumulated Leap Seconds=14 + { 2442662.50, 46.122546 }, //07 September 1975, UT1-UTC= 0.0614537, Accumulated Leap Seconds=14 + { 2442663.50, 46.125472 }, //08 September 1975, UT1-UTC= 0.0585280, Accumulated Leap Seconds=14 + { 2442664.50, 46.128224 }, //09 September 1975, UT1-UTC= 0.0557757, Accumulated Leap Seconds=14 + { 2442665.50, 46.130764 }, //10 September 1975, UT1-UTC= 0.0532356, Accumulated Leap Seconds=14 + { 2442666.50, 46.133112 }, //11 September 1975, UT1-UTC= 0.0508883, Accumulated Leap Seconds=14 + { 2442667.50, 46.135326 }, //12 September 1975, UT1-UTC= 0.0486743, Accumulated Leap Seconds=14 + { 2442668.50, 46.137480 }, //13 September 1975, UT1-UTC= 0.0465203, Accumulated Leap Seconds=14 + { 2442669.50, 46.139640 }, //14 September 1975, UT1-UTC= 0.0443600, Accumulated Leap Seconds=14 + { 2442670.50, 46.141856 }, //15 September 1975, UT1-UTC= 0.0421439, Accumulated Leap Seconds=14 + { 2442671.50, 46.144158 }, //16 September 1975, UT1-UTC= 0.0398415, Accumulated Leap Seconds=14 + { 2442672.50, 46.146560 }, //17 September 1975, UT1-UTC= 0.0374400, Accumulated Leap Seconds=14 + { 2442673.50, 46.149056 }, //18 September 1975, UT1-UTC= 0.0349439, Accumulated Leap Seconds=14 + { 2442674.50, 46.151628 }, //19 September 1975, UT1-UTC= 0.0323719, Accumulated Leap Seconds=14 + { 2442675.50, 46.154246 }, //20 September 1975, UT1-UTC= 0.0297541, Accumulated Leap Seconds=14 + { 2442676.50, 46.156875 }, //21 September 1975, UT1-UTC= 0.0271247, Accumulated Leap Seconds=14 + { 2442677.50, 46.159484 }, //22 September 1975, UT1-UTC= 0.0245156, Accumulated Leap Seconds=14 + { 2442678.50, 46.162049 }, //23 September 1975, UT1-UTC= 0.0219512, Accumulated Leap Seconds=14 + { 2442679.50, 46.164556 }, //24 September 1975, UT1-UTC= 0.0194443, Accumulated Leap Seconds=14 + { 2442680.50, 46.167006 }, //25 September 1975, UT1-UTC= 0.0169938, Accumulated Leap Seconds=14 + { 2442681.50, 46.169417 }, //26 September 1975, UT1-UTC= 0.0145829, Accumulated Leap Seconds=14 + { 2442682.50, 46.171822 }, //27 September 1975, UT1-UTC= 0.0121777, Accumulated Leap Seconds=14 + { 2442683.50, 46.174272 }, //28 September 1975, UT1-UTC= 0.0097282, Accumulated Leap Seconds=14 + { 2442684.50, 46.176828 }, //29 September 1975, UT1-UTC= 0.0071724, Accumulated Leap Seconds=14 + { 2442685.50, 46.179554 }, //30 September 1975, UT1-UTC= 0.0044456, Accumulated Leap Seconds=14 + { 2442686.50, 46.182504 }, //01 October 1975, UT1-UTC= 0.0014959, Accumulated Leap Seconds=14 + { 2442687.50, 46.185695 }, //02 October 1975, UT1-UTC=-0.0016954, Accumulated Leap Seconds=14 + { 2442688.50, 46.189097 }, //03 October 1975, UT1-UTC=-0.0050966, Accumulated Leap Seconds=14 + { 2442689.50, 46.192624 }, //04 October 1975, UT1-UTC=-0.0086242, Accumulated Leap Seconds=14 + { 2442690.50, 46.196161 }, //05 October 1975, UT1-UTC=-0.0121610, Accumulated Leap Seconds=14 + { 2442691.50, 46.199591 }, //06 October 1975, UT1-UTC=-0.0155912, Accumulated Leap Seconds=14 + { 2442692.50, 46.202837 }, //07 October 1975, UT1-UTC=-0.0188373, Accumulated Leap Seconds=14 + { 2442693.50, 46.205881 }, //08 October 1975, UT1-UTC=-0.0218807, Accumulated Leap Seconds=14 + { 2442694.50, 46.208758 }, //09 October 1975, UT1-UTC=-0.0247580, Accumulated Leap Seconds=14 + { 2442695.50, 46.211538 }, //10 October 1975, UT1-UTC=-0.0275378, Accumulated Leap Seconds=14 + { 2442696.50, 46.214293 }, //11 October 1975, UT1-UTC=-0.0302926, Accumulated Leap Seconds=14 + { 2442697.50, 46.217079 }, //12 October 1975, UT1-UTC=-0.0330788, Accumulated Leap Seconds=14 + { 2442698.50, 46.219930 }, //13 October 1975, UT1-UTC=-0.0359304, Accumulated Leap Seconds=14 + { 2442699.50, 46.222862 }, //14 October 1975, UT1-UTC=-0.0388617, Accumulated Leap Seconds=14 + { 2442700.50, 46.225872 }, //15 October 1975, UT1-UTC=-0.0418719, Accumulated Leap Seconds=14 + { 2442701.50, 46.228947 }, //16 October 1975, UT1-UTC=-0.0449471, Accumulated Leap Seconds=14 + { 2442702.50, 46.232062 }, //17 October 1975, UT1-UTC=-0.0480620, Accumulated Leap Seconds=14 + { 2442703.50, 46.235184 }, //18 October 1975, UT1-UTC=-0.0511839, Accumulated Leap Seconds=14 + { 2442704.50, 46.238279 }, //19 October 1975, UT1-UTC=-0.0542794, Accumulated Leap Seconds=14 + { 2442705.50, 46.241321 }, //20 October 1975, UT1-UTC=-0.0573205, Accumulated Leap Seconds=14 + { 2442706.50, 46.244290 }, //21 October 1975, UT1-UTC=-0.0602901, Accumulated Leap Seconds=14 + { 2442707.50, 46.247184 }, //22 October 1975, UT1-UTC=-0.0631842, Accumulated Leap Seconds=14 + { 2442708.50, 46.250014 }, //23 October 1975, UT1-UTC=-0.0660136, Accumulated Leap Seconds=14 + { 2442709.50, 46.252805 }, //24 October 1975, UT1-UTC=-0.0688051, Accumulated Leap Seconds=14 + { 2442710.50, 46.255601 }, //25 October 1975, UT1-UTC=-0.0716014, Accumulated Leap Seconds=14 + { 2442711.50, 46.258457 }, //26 October 1975, UT1-UTC=-0.0744569, Accumulated Leap Seconds=14 + { 2442712.50, 46.261431 }, //27 October 1975, UT1-UTC=-0.0774306, Accumulated Leap Seconds=14 + { 2442713.50, 46.264574 }, //28 October 1975, UT1-UTC=-0.0805737, Accumulated Leap Seconds=14 + { 2442714.50, 46.267916 }, //29 October 1975, UT1-UTC=-0.0839158, Accumulated Leap Seconds=14 + { 2442715.50, 46.271450 }, //30 October 1975, UT1-UTC=-0.0874502, Accumulated Leap Seconds=14 + { 2442716.50, 46.275126 }, //31 October 1975, UT1-UTC=-0.0911263, Accumulated Leap Seconds=14 + { 2442717.50, 46.278856 }, //01 November 1975, UT1-UTC=-0.0948561, Accumulated Leap Seconds=14 + { 2442718.50, 46.282534 }, //02 November 1975, UT1-UTC=-0.0985343, Accumulated Leap Seconds=14 + { 2442719.50, 46.286070 }, //03 November 1975, UT1-UTC=-0.1020696, Accumulated Leap Seconds=14 + { 2442720.50, 46.289412 }, //04 November 1975, UT1-UTC=-0.1054123, Accumulated Leap Seconds=14 + { 2442721.50, 46.292567 }, //05 November 1975, UT1-UTC=-0.1085673, Accumulated Leap Seconds=14 + { 2442722.50, 46.295585 }, //06 November 1975, UT1-UTC=-0.1115847, Accumulated Leap Seconds=14 + { 2442723.50, 46.298535 }, //07 November 1975, UT1-UTC=-0.1145351, Accumulated Leap Seconds=14 + { 2442724.50, 46.301483 }, //08 November 1975, UT1-UTC=-0.1174833, Accumulated Leap Seconds=14 + { 2442725.50, 46.304472 }, //09 November 1975, UT1-UTC=-0.1204725, Accumulated Leap Seconds=14 + { 2442726.50, 46.307521 }, //10 November 1975, UT1-UTC=-0.1235210, Accumulated Leap Seconds=14 + { 2442727.50, 46.310628 }, //11 November 1975, UT1-UTC=-0.1266285, Accumulated Leap Seconds=14 + { 2442728.50, 46.313782 }, //12 November 1975, UT1-UTC=-0.1297818, Accumulated Leap Seconds=14 + { 2442729.50, 46.316958 }, //13 November 1975, UT1-UTC=-0.1329585, Accumulated Leap Seconds=14 + { 2442730.50, 46.320129 }, //14 November 1975, UT1-UTC=-0.1361291, Accumulated Leap Seconds=14 + { 2442731.50, 46.323261 }, //15 November 1975, UT1-UTC=-0.1392609, Accumulated Leap Seconds=14 + { 2442732.50, 46.326325 }, //16 November 1975, UT1-UTC=-0.1423246, Accumulated Leap Seconds=14 + { 2442733.50, 46.329299 }, //17 November 1975, UT1-UTC=-0.1452995, Accumulated Leap Seconds=14 + { 2442734.50, 46.332178 }, //18 November 1975, UT1-UTC=-0.1481779, Accumulated Leap Seconds=14 + { 2442735.50, 46.334966 }, //19 November 1975, UT1-UTC=-0.1509664, Accumulated Leap Seconds=14 + { 2442736.50, 46.337687 }, //20 November 1975, UT1-UTC=-0.1536873, Accumulated Leap Seconds=14 + { 2442737.50, 46.340378 }, //21 November 1975, UT1-UTC=-0.1563780, Accumulated Leap Seconds=14 + { 2442738.50, 46.343088 }, //22 November 1975, UT1-UTC=-0.1590882, Accumulated Leap Seconds=14 + { 2442739.50, 46.345873 }, //23 November 1975, UT1-UTC=-0.1618727, Accumulated Leap Seconds=14 + { 2442740.50, 46.348779 }, //24 November 1975, UT1-UTC=-0.1647790, Accumulated Leap Seconds=14 + { 2442741.50, 46.351835 }, //25 November 1975, UT1-UTC=-0.1678355, Accumulated Leap Seconds=14 + { 2442742.50, 46.355041 }, //26 November 1975, UT1-UTC=-0.1710407, Accumulated Leap Seconds=14 + { 2442743.50, 46.358360 }, //27 November 1975, UT1-UTC=-0.1743596, Accumulated Leap Seconds=14 + { 2442744.50, 46.361727 }, //28 November 1975, UT1-UTC=-0.1777271, Accumulated Leap Seconds=14 + { 2442745.50, 46.365061 }, //29 November 1975, UT1-UTC=-0.1810612, Accumulated Leap Seconds=14 + { 2442746.50, 46.368282 }, //30 November 1975, UT1-UTC=-0.1842822, Accumulated Leap Seconds=14 + { 2442747.50, 46.371335 }, //01 December 1975, UT1-UTC=-0.1873351, Accumulated Leap Seconds=14 + { 2442748.50, 46.374206 }, //02 December 1975, UT1-UTC=-0.1902060, Accumulated Leap Seconds=14 + { 2442749.50, 46.376924 }, //03 December 1975, UT1-UTC=-0.1929245, Accumulated Leap Seconds=14 + { 2442750.50, 46.379551 }, //04 December 1975, UT1-UTC=-0.1955510, Accumulated Leap Seconds=14 + { 2442751.50, 46.382154 }, //05 December 1975, UT1-UTC=-0.1981536, Accumulated Leap Seconds=14 + { 2442752.50, 46.384787 }, //06 December 1975, UT1-UTC=-0.2007866, Accumulated Leap Seconds=14 + { 2442753.50, 46.387479 }, //07 December 1975, UT1-UTC=-0.2034792, Accumulated Leap Seconds=14 + { 2442754.50, 46.390236 }, //08 December 1975, UT1-UTC=-0.2062362, Accumulated Leap Seconds=14 + { 2442755.50, 46.393046 }, //09 December 1975, UT1-UTC=-0.2090458, Accumulated Leap Seconds=14 + { 2442756.50, 46.395886 }, //10 December 1975, UT1-UTC=-0.2118865, Accumulated Leap Seconds=14 + { 2442757.50, 46.398732 }, //11 December 1975, UT1-UTC=-0.2147317, Accumulated Leap Seconds=14 + { 2442758.50, 46.401552 }, //12 December 1975, UT1-UTC=-0.2175525, Accumulated Leap Seconds=14 + { 2442759.50, 46.404321 }, //13 December 1975, UT1-UTC=-0.2203215, Accumulated Leap Seconds=14 + { 2442760.50, 46.407018 }, //14 December 1975, UT1-UTC=-0.2230177, Accumulated Leap Seconds=14 + { 2442761.50, 46.409631 }, //15 December 1975, UT1-UTC=-0.2256313, Accumulated Leap Seconds=14 + { 2442762.50, 46.412167 }, //16 December 1975, UT1-UTC=-0.2281667, Accumulated Leap Seconds=14 + { 2442763.50, 46.414643 }, //17 December 1975, UT1-UTC=-0.2306432, Accumulated Leap Seconds=14 + { 2442764.50, 46.417096 }, //18 December 1975, UT1-UTC=-0.2330956, Accumulated Leap Seconds=14 + { 2442765.50, 46.419572 }, //19 December 1975, UT1-UTC=-0.2355722, Accumulated Leap Seconds=14 + { 2442766.50, 46.422129 }, //20 December 1975, UT1-UTC=-0.2381288, Accumulated Leap Seconds=14 + { 2442767.50, 46.424817 }, //21 December 1975, UT1-UTC=-0.2408168, Accumulated Leap Seconds=14 + { 2442768.50, 46.427668 }, //22 December 1975, UT1-UTC=-0.2436677, Accumulated Leap Seconds=14 + { 2442769.50, 46.430680 }, //23 December 1975, UT1-UTC=-0.2466803, Accumulated Leap Seconds=14 + { 2442770.50, 46.433817 }, //24 December 1975, UT1-UTC=-0.2498172, Accumulated Leap Seconds=14 + { 2442771.50, 46.437012 }, //25 December 1975, UT1-UTC=-0.2530125, Accumulated Leap Seconds=14 + { 2442772.50, 46.440188 }, //26 December 1975, UT1-UTC=-0.2561882, Accumulated Leap Seconds=14 + { 2442773.50, 46.443272 }, //27 December 1975, UT1-UTC=-0.2592722, Accumulated Leap Seconds=14 + { 2442774.50, 46.446214 }, //28 December 1975, UT1-UTC=-0.2622145, Accumulated Leap Seconds=14 + { 2442775.50, 46.448998 }, //29 December 1975, UT1-UTC=-0.2649982, Accumulated Leap Seconds=14 + { 2442776.50, 46.451642 }, //30 December 1975, UT1-UTC=-0.2676425, Accumulated Leap Seconds=14 + { 2442777.50, 46.454196 }, //31 December 1975, UT1-UTC=-0.2701957, Accumulated Leap Seconds=14 + { 2442778.50, 46.456721 }, //01 January 1976, UT1-UTC= 0.7272793, Accumulated Leap Seconds=15 + { 2442779.50, 46.459276 }, //02 January 1976, UT1-UTC= 0.7247235, Accumulated Leap Seconds=15 + { 2442780.50, 46.461902 }, //03 January 1976, UT1-UTC= 0.7220977, Accumulated Leap Seconds=15 + { 2442781.50, 46.464612 }, //04 January 1976, UT1-UTC= 0.7193884, Accumulated Leap Seconds=15 + { 2442782.50, 46.467395 }, //05 January 1976, UT1-UTC= 0.7166048, Accumulated Leap Seconds=15 + { 2442783.50, 46.470230 }, //06 January 1976, UT1-UTC= 0.7137704, Accumulated Leap Seconds=15 + { 2442784.50, 46.473085 }, //07 January 1976, UT1-UTC= 0.7109152, Accumulated Leap Seconds=15 + { 2442785.50, 46.475930 }, //08 January 1976, UT1-UTC= 0.7080704, Accumulated Leap Seconds=15 + { 2442786.50, 46.478735 }, //09 January 1976, UT1-UTC= 0.7052651, Accumulated Leap Seconds=15 + { 2442787.50, 46.481477 }, //10 January 1976, UT1-UTC= 0.7025227, Accumulated Leap Seconds=15 + { 2442788.50, 46.484144 }, //11 January 1976, UT1-UTC= 0.6998561, Accumulated Leap Seconds=15 + { 2442789.50, 46.486735 }, //12 January 1976, UT1-UTC= 0.6972650, Accumulated Leap Seconds=15 + { 2442790.50, 46.489267 }, //13 January 1976, UT1-UTC= 0.6947333, Accumulated Leap Seconds=15 + { 2442791.50, 46.491770 }, //14 January 1976, UT1-UTC= 0.6922296, Accumulated Leap Seconds=15 + { 2442792.50, 46.494293 }, //15 January 1976, UT1-UTC= 0.6897067, Accumulated Leap Seconds=15 + { 2442793.50, 46.496894 }, //16 January 1976, UT1-UTC= 0.6871063, Accumulated Leap Seconds=15 + { 2442794.50, 46.499632 }, //17 January 1976, UT1-UTC= 0.6843682, Accumulated Leap Seconds=15 + { 2442795.50, 46.502553 }, //18 January 1976, UT1-UTC= 0.6814470, Accumulated Leap Seconds=15 + { 2442796.50, 46.505670 }, //19 January 1976, UT1-UTC= 0.6783304, Accumulated Leap Seconds=15 + { 2442797.50, 46.508949 }, //20 January 1976, UT1-UTC= 0.6750506, Accumulated Leap Seconds=15 + { 2442798.50, 46.512320 }, //21 January 1976, UT1-UTC= 0.6716801, Accumulated Leap Seconds=15 + { 2442799.50, 46.515689 }, //22 January 1976, UT1-UTC= 0.6683108, Accumulated Leap Seconds=15 + { 2442800.50, 46.518971 }, //23 January 1976, UT1-UTC= 0.6650293, Accumulated Leap Seconds=15 + { 2442801.50, 46.522106 }, //24 January 1976, UT1-UTC= 0.6618941, Accumulated Leap Seconds=15 + { 2442802.50, 46.525075 }, //25 January 1976, UT1-UTC= 0.6589248, Accumulated Leap Seconds=15 + { 2442803.50, 46.527896 }, //26 January 1976, UT1-UTC= 0.6561040, Accumulated Leap Seconds=15 + { 2442804.50, 46.530614 }, //27 January 1976, UT1-UTC= 0.6533864, Accumulated Leap Seconds=15 + { 2442805.50, 46.533288 }, //28 January 1976, UT1-UTC= 0.6507125, Accumulated Leap Seconds=15 + { 2442806.50, 46.535977 }, //29 January 1976, UT1-UTC= 0.6480234, Accumulated Leap Seconds=15 + { 2442807.50, 46.538727 }, //30 January 1976, UT1-UTC= 0.6452727, Accumulated Leap Seconds=15 + { 2442808.50, 46.541564 }, //31 January 1976, UT1-UTC= 0.6424362, Accumulated Leap Seconds=15 + { 2442809.50, 46.544486 }, //01 February 1976, UT1-UTC= 0.6395140, Accumulated Leap Seconds=15 + { 2442810.50, 46.547474 }, //02 February 1976, UT1-UTC= 0.6365256, Accumulated Leap Seconds=15 + { 2442811.50, 46.550497 }, //03 February 1976, UT1-UTC= 0.6335025, Accumulated Leap Seconds=15 + { 2442812.50, 46.553520 }, //04 February 1976, UT1-UTC= 0.6304796, Accumulated Leap Seconds=15 + { 2442813.50, 46.556510 }, //05 February 1976, UT1-UTC= 0.6274900, Accumulated Leap Seconds=15 + { 2442814.50, 46.559439 }, //06 February 1976, UT1-UTC= 0.6245606, Accumulated Leap Seconds=15 + { 2442815.50, 46.562291 }, //07 February 1976, UT1-UTC= 0.6217091, Accumulated Leap Seconds=15 + { 2442816.50, 46.565059 }, //08 February 1976, UT1-UTC= 0.6189407, Accumulated Leap Seconds=15 + { 2442817.50, 46.567754 }, //09 February 1976, UT1-UTC= 0.6162458, Accumulated Leap Seconds=15 + { 2442818.50, 46.570401 }, //10 February 1976, UT1-UTC= 0.6135993, Accumulated Leap Seconds=15 + { 2442819.50, 46.573039 }, //11 February 1976, UT1-UTC= 0.6109607, Accumulated Leap Seconds=15 + { 2442820.50, 46.575724 }, //12 February 1976, UT1-UTC= 0.6082763, Accumulated Leap Seconds=15 + { 2442821.50, 46.578516 }, //13 February 1976, UT1-UTC= 0.6054842, Accumulated Leap Seconds=15 + { 2442822.50, 46.581474 }, //14 February 1976, UT1-UTC= 0.6025261, Accumulated Leap Seconds=15 + { 2442823.50, 46.584633 }, //15 February 1976, UT1-UTC= 0.5993671, Accumulated Leap Seconds=15 + { 2442824.50, 46.587985 }, //16 February 1976, UT1-UTC= 0.5960145, Accumulated Leap Seconds=15 + { 2442825.50, 46.591475 }, //17 February 1976, UT1-UTC= 0.5925249, Accumulated Leap Seconds=15 + { 2442826.50, 46.595007 }, //18 February 1976, UT1-UTC= 0.5889930, Accumulated Leap Seconds=15 + { 2442827.50, 46.598476 }, //19 February 1976, UT1-UTC= 0.5855239, Accumulated Leap Seconds=15 + { 2442828.50, 46.601799 }, //20 February 1976, UT1-UTC= 0.5822010, Accumulated Leap Seconds=15 + { 2442829.50, 46.604937 }, //21 February 1976, UT1-UTC= 0.5790631, Accumulated Leap Seconds=15 + { 2442830.50, 46.607899 }, //22 February 1976, UT1-UTC= 0.5761012, Accumulated Leap Seconds=15 + { 2442831.50, 46.610731 }, //23 February 1976, UT1-UTC= 0.5732693, Accumulated Leap Seconds=15 + { 2442832.50, 46.613496 }, //24 February 1976, UT1-UTC= 0.5705043, Accumulated Leap Seconds=15 + { 2442833.50, 46.616257 }, //25 February 1976, UT1-UTC= 0.5677434, Accumulated Leap Seconds=15 + { 2442834.50, 46.619064 }, //26 February 1976, UT1-UTC= 0.5649360, Accumulated Leap Seconds=15 + { 2442835.50, 46.621950 }, //27 February 1976, UT1-UTC= 0.5620501, Accumulated Leap Seconds=15 + { 2442836.50, 46.624925 }, //28 February 1976, UT1-UTC= 0.5590749, Accumulated Leap Seconds=15 + { 2442837.50, 46.627980 }, //29 February 1976, UT1-UTC= 0.5560198, Accumulated Leap Seconds=15 + { 2442838.50, 46.631090 }, //01 March 1976, UT1-UTC= 0.5529101, Accumulated Leap Seconds=15 + { 2442839.50, 46.634220 }, //02 March 1976, UT1-UTC= 0.5497798, Accumulated Leap Seconds=15 + { 2442840.50, 46.637336 }, //03 March 1976, UT1-UTC= 0.5466638, Accumulated Leap Seconds=15 + { 2442841.50, 46.640408 }, //04 March 1976, UT1-UTC= 0.5435922, Accumulated Leap Seconds=15 + { 2442842.50, 46.643414 }, //05 March 1976, UT1-UTC= 0.5405861, Accumulated Leap Seconds=15 + { 2442843.50, 46.646345 }, //06 March 1976, UT1-UTC= 0.5376552, Accumulated Leap Seconds=15 + { 2442844.50, 46.649204 }, //07 March 1976, UT1-UTC= 0.5347955, Accumulated Leap Seconds=15 + { 2442845.50, 46.652012 }, //08 March 1976, UT1-UTC= 0.5319882, Accumulated Leap Seconds=15 + { 2442846.50, 46.654800 }, //09 March 1976, UT1-UTC= 0.5292000, Accumulated Leap Seconds=15 + { 2442847.50, 46.657617 }, //10 March 1976, UT1-UTC= 0.5263832, Accumulated Leap Seconds=15 + { 2442848.50, 46.660520 }, //11 March 1976, UT1-UTC= 0.5234797, Accumulated Leap Seconds=15 + { 2442849.50, 46.663573 }, //12 March 1976, UT1-UTC= 0.5204274, Accumulated Leap Seconds=15 + { 2442850.50, 46.666824 }, //13 March 1976, UT1-UTC= 0.5171755, Accumulated Leap Seconds=15 + { 2442851.50, 46.670297 }, //14 March 1976, UT1-UTC= 0.5137031, Accumulated Leap Seconds=15 + { 2442852.50, 46.673964 }, //15 March 1976, UT1-UTC= 0.5100364, Accumulated Leap Seconds=15 + { 2442853.50, 46.677748 }, //16 March 1976, UT1-UTC= 0.5062517, Accumulated Leap Seconds=15 + { 2442854.50, 46.681541 }, //17 March 1976, UT1-UTC= 0.5024587, Accumulated Leap Seconds=15 + { 2442855.50, 46.685233 }, //18 March 1976, UT1-UTC= 0.4987669, Accumulated Leap Seconds=15 + { 2442856.50, 46.688749 }, //19 March 1976, UT1-UTC= 0.4952510, Accumulated Leap Seconds=15 + { 2442857.50, 46.692069 }, //20 March 1976, UT1-UTC= 0.4919312, Accumulated Leap Seconds=15 + { 2442858.50, 46.695224 }, //21 March 1976, UT1-UTC= 0.4887763, Accumulated Leap Seconds=15 + { 2442859.50, 46.698276 }, //22 March 1976, UT1-UTC= 0.4857239, Accumulated Leap Seconds=15 + { 2442860.50, 46.701294 }, //23 March 1976, UT1-UTC= 0.4827058, Accumulated Leap Seconds=15 + { 2442861.50, 46.704333 }, //24 March 1976, UT1-UTC= 0.4796666, Accumulated Leap Seconds=15 + { 2442862.50, 46.707430 }, //25 March 1976, UT1-UTC= 0.4765704, Accumulated Leap Seconds=15 + { 2442863.50, 46.710598 }, //26 March 1976, UT1-UTC= 0.4734018, Accumulated Leap Seconds=15 + { 2442864.50, 46.713837 }, //27 March 1976, UT1-UTC= 0.4701631, Accumulated Leap Seconds=15 + { 2442865.50, 46.717129 }, //28 March 1976, UT1-UTC= 0.4668712, Accumulated Leap Seconds=15 + { 2442866.50, 46.720445 }, //29 March 1976, UT1-UTC= 0.4635546, Accumulated Leap Seconds=15 + { 2442867.50, 46.723753 }, //30 March 1976, UT1-UTC= 0.4602468, Accumulated Leap Seconds=15 + { 2442868.50, 46.727021 }, //31 March 1976, UT1-UTC= 0.4569794, Accumulated Leap Seconds=15 + { 2442869.50, 46.730223 }, //01 April 1976, UT1-UTC= 0.4537769, Accumulated Leap Seconds=15 + { 2442870.50, 46.733348 }, //02 April 1976, UT1-UTC= 0.4506523, Accumulated Leap Seconds=15 + { 2442871.50, 46.736394 }, //03 April 1976, UT1-UTC= 0.4476063, Accumulated Leap Seconds=15 + { 2442872.50, 46.739374 }, //04 April 1976, UT1-UTC= 0.4446260, Accumulated Leap Seconds=15 + { 2442873.50, 46.742315 }, //05 April 1976, UT1-UTC= 0.4416849, Accumulated Leap Seconds=15 + { 2442874.50, 46.745256 }, //06 April 1976, UT1-UTC= 0.4387441, Accumulated Leap Seconds=15 + { 2442875.50, 46.748247 }, //07 April 1976, UT1-UTC= 0.4357534, Accumulated Leap Seconds=15 + { 2442876.50, 46.751343 }, //08 April 1976, UT1-UTC= 0.4326566, Accumulated Leap Seconds=15 + { 2442877.50, 46.754600 }, //09 April 1976, UT1-UTC= 0.4294003, Accumulated Leap Seconds=15 + { 2442878.50, 46.758052 }, //10 April 1976, UT1-UTC= 0.4259475, Accumulated Leap Seconds=15 + { 2442879.50, 46.761705 }, //11 April 1976, UT1-UTC= 0.4222945, Accumulated Leap Seconds=15 + { 2442880.50, 46.765517 }, //12 April 1976, UT1-UTC= 0.4184833, Accumulated Leap Seconds=15 + { 2442881.50, 46.769401 }, //13 April 1976, UT1-UTC= 0.4145990, Accumulated Leap Seconds=15 + { 2442882.50, 46.773250 }, //14 April 1976, UT1-UTC= 0.4107499, Accumulated Leap Seconds=15 + { 2442883.50, 46.776966 }, //15 April 1976, UT1-UTC= 0.4070336, Accumulated Leap Seconds=15 + { 2442884.50, 46.780494 }, //16 April 1976, UT1-UTC= 0.4035056, Accumulated Leap Seconds=15 + { 2442885.50, 46.783835 }, //17 April 1976, UT1-UTC= 0.4001653, Accumulated Leap Seconds=15 + { 2442886.50, 46.787035 }, //18 April 1976, UT1-UTC= 0.3969651, Accumulated Leap Seconds=15 + { 2442887.50, 46.790164 }, //19 April 1976, UT1-UTC= 0.3938361, Accumulated Leap Seconds=15 + { 2442888.50, 46.793285 }, //20 April 1976, UT1-UTC= 0.3907146, Accumulated Leap Seconds=15 + { 2442889.50, 46.796442 }, //21 April 1976, UT1-UTC= 0.3875584, Accumulated Leap Seconds=15 + { 2442890.50, 46.799650 }, //22 April 1976, UT1-UTC= 0.3843495, Accumulated Leap Seconds=15 + { 2442891.50, 46.802912 }, //23 April 1976, UT1-UTC= 0.3810883, Accumulated Leap Seconds=15 + { 2442892.50, 46.806211 }, //24 April 1976, UT1-UTC= 0.3777885, Accumulated Leap Seconds=15 + { 2442893.50, 46.809527 }, //25 April 1976, UT1-UTC= 0.3744727, Accumulated Leap Seconds=15 + { 2442894.50, 46.812830 }, //26 April 1976, UT1-UTC= 0.3711696, Accumulated Leap Seconds=15 + { 2442895.50, 46.816091 }, //27 April 1976, UT1-UTC= 0.3679092, Accumulated Leap Seconds=15 + { 2442896.50, 46.819283 }, //28 April 1976, UT1-UTC= 0.3647171, Accumulated Leap Seconds=15 + { 2442897.50, 46.822391 }, //29 April 1976, UT1-UTC= 0.3616088, Accumulated Leap Seconds=15 + { 2442898.50, 46.825413 }, //30 April 1976, UT1-UTC= 0.3585869, Accumulated Leap Seconds=15 + { 2442899.50, 46.828359 }, //01 May 1976, UT1-UTC= 0.3556412, Accumulated Leap Seconds=15 + { 2442900.50, 46.831251 }, //02 May 1976, UT1-UTC= 0.3527487, Accumulated Leap Seconds=15 + { 2442901.50, 46.834125 }, //03 May 1976, UT1-UTC= 0.3498753, Accumulated Leap Seconds=15 + { 2442902.50, 46.837023 }, //04 May 1976, UT1-UTC= 0.3469771, Accumulated Leap Seconds=15 + { 2442903.50, 46.839995 }, //05 May 1976, UT1-UTC= 0.3440048, Accumulated Leap Seconds=15 + { 2442904.50, 46.843090 }, //06 May 1976, UT1-UTC= 0.3409099, Accumulated Leap Seconds=15 + { 2442905.50, 46.846345 }, //07 May 1976, UT1-UTC= 0.3376548, Accumulated Leap Seconds=15 + { 2442906.50, 46.849776 }, //08 May 1976, UT1-UTC= 0.3342237, Accumulated Leap Seconds=15 + { 2442907.50, 46.853366 }, //09 May 1976, UT1-UTC= 0.3306338, Accumulated Leap Seconds=15 + { 2442908.50, 46.857060 }, //10 May 1976, UT1-UTC= 0.3269395, Accumulated Leap Seconds=15 + { 2442909.50, 46.860775 }, //11 May 1976, UT1-UTC= 0.3232252, Accumulated Leap Seconds=15 + { 2442910.50, 46.864416 }, //12 May 1976, UT1-UTC= 0.3195839, Accumulated Leap Seconds=15 + { 2442911.50, 46.867912 }, //13 May 1976, UT1-UTC= 0.3160883, Accumulated Leap Seconds=15 + { 2442912.50, 46.871233 }, //14 May 1976, UT1-UTC= 0.3127673, Accumulated Leap Seconds=15 + { 2442913.50, 46.874401 }, //15 May 1976, UT1-UTC= 0.3095987, Accumulated Leap Seconds=15 + { 2442914.50, 46.877476 }, //16 May 1976, UT1-UTC= 0.3065239, Accumulated Leap Seconds=15 + { 2442915.50, 46.880525 }, //17 May 1976, UT1-UTC= 0.3034746, Accumulated Leap Seconds=15 + { 2442916.50, 46.883602 }, //18 May 1976, UT1-UTC= 0.3003976, Accumulated Leap Seconds=15 + { 2442917.50, 46.886733 }, //19 May 1976, UT1-UTC= 0.2972669, Accumulated Leap Seconds=15 + { 2442918.50, 46.889918 }, //20 May 1976, UT1-UTC= 0.2940822, Accumulated Leap Seconds=15 + { 2442919.50, 46.893138 }, //21 May 1976, UT1-UTC= 0.2908622, Accumulated Leap Seconds=15 + { 2442920.50, 46.896365 }, //22 May 1976, UT1-UTC= 0.2876346, Accumulated Leap Seconds=15 + { 2442921.50, 46.899569 }, //23 May 1976, UT1-UTC= 0.2844308, Accumulated Leap Seconds=15 + { 2442922.50, 46.902717 }, //24 May 1976, UT1-UTC= 0.2812826, Accumulated Leap Seconds=15 + { 2442923.50, 46.905782 }, //25 May 1976, UT1-UTC= 0.2782184, Accumulated Leap Seconds=15 + { 2442924.50, 46.908741 }, //26 May 1976, UT1-UTC= 0.2752588, Accumulated Leap Seconds=15 + { 2442925.50, 46.911588 }, //27 May 1976, UT1-UTC= 0.2724120, Accumulated Leap Seconds=15 + { 2442926.50, 46.914327 }, //28 May 1976, UT1-UTC= 0.2696726, Accumulated Leap Seconds=15 + { 2442927.50, 46.916978 }, //29 May 1976, UT1-UTC= 0.2670220, Accumulated Leap Seconds=15 + { 2442928.50, 46.919570 }, //30 May 1976, UT1-UTC= 0.2644299, Accumulated Leap Seconds=15 + { 2442929.50, 46.922144 }, //31 May 1976, UT1-UTC= 0.2618564, Accumulated Leap Seconds=15 + { 2442930.50, 46.924744 }, //01 June 1976, UT1-UTC= 0.2592557, Accumulated Leap Seconds=15 + { 2442931.50, 46.927417 }, //02 June 1976, UT1-UTC= 0.2565833, Accumulated Leap Seconds=15 + { 2442932.50, 46.930195 }, //03 June 1976, UT1-UTC= 0.2538051, Accumulated Leap Seconds=15 + { 2442933.50, 46.933093 }, //04 June 1976, UT1-UTC= 0.2509074, Accumulated Leap Seconds=15 + { 2442934.50, 46.936097 }, //05 June 1976, UT1-UTC= 0.2479026, Accumulated Leap Seconds=15 + { 2442935.50, 46.939168 }, //06 June 1976, UT1-UTC= 0.2448319, Accumulated Leap Seconds=15 + { 2442936.50, 46.942240 }, //07 June 1976, UT1-UTC= 0.2417603, Accumulated Leap Seconds=15 + { 2442937.50, 46.945236 }, //08 June 1976, UT1-UTC= 0.2387643, Accumulated Leap Seconds=15 + { 2442938.50, 46.948089 }, //09 June 1976, UT1-UTC= 0.2359114, Accumulated Leap Seconds=15 + { 2442939.50, 46.950759 }, //10 June 1976, UT1-UTC= 0.2332408, Accumulated Leap Seconds=15 + { 2442940.50, 46.953250 }, //11 June 1976, UT1-UTC= 0.2307498, Accumulated Leap Seconds=15 + { 2442941.50, 46.955604 }, //12 June 1976, UT1-UTC= 0.2283957, Accumulated Leap Seconds=15 + { 2442942.50, 46.957887 }, //13 June 1976, UT1-UTC= 0.2261128, Accumulated Leap Seconds=15 + { 2442943.50, 46.960162 }, //14 June 1976, UT1-UTC= 0.2238375, Accumulated Leap Seconds=15 + { 2442944.50, 46.962471 }, //15 June 1976, UT1-UTC= 0.2215288, Accumulated Leap Seconds=15 + { 2442945.50, 46.964825 }, //16 June 1976, UT1-UTC= 0.2191751, Accumulated Leap Seconds=15 + { 2442946.50, 46.967211 }, //17 June 1976, UT1-UTC= 0.2167889, Accumulated Leap Seconds=15 + { 2442947.50, 46.969605 }, //18 June 1976, UT1-UTC= 0.2143953, Accumulated Leap Seconds=15 + { 2442948.50, 46.971977 }, //19 June 1976, UT1-UTC= 0.2120227, Accumulated Leap Seconds=15 + { 2442949.50, 46.974302 }, //20 June 1976, UT1-UTC= 0.2096983, Accumulated Leap Seconds=15 + { 2442950.50, 46.976554 }, //21 June 1976, UT1-UTC= 0.2074462, Accumulated Leap Seconds=15 + { 2442951.50, 46.978716 }, //22 June 1976, UT1-UTC= 0.2052841, Accumulated Leap Seconds=15 + { 2442952.50, 46.980781 }, //23 June 1976, UT1-UTC= 0.2032185, Accumulated Leap Seconds=15 + { 2442953.50, 46.982757 }, //24 June 1976, UT1-UTC= 0.2012426, Accumulated Leap Seconds=15 + { 2442954.50, 46.984665 }, //25 June 1976, UT1-UTC= 0.1993349, Accumulated Leap Seconds=15 + { 2442955.50, 46.986539 }, //26 June 1976, UT1-UTC= 0.1974614, Accumulated Leap Seconds=15 + { 2442956.50, 46.988422 }, //27 June 1976, UT1-UTC= 0.1955782, Accumulated Leap Seconds=15 + { 2442957.50, 46.990364 }, //28 June 1976, UT1-UTC= 0.1936356, Accumulated Leap Seconds=15 + { 2442958.50, 46.992416 }, //29 June 1976, UT1-UTC= 0.1915842, Accumulated Leap Seconds=15 + { 2442959.50, 46.994614 }, //30 June 1976, UT1-UTC= 0.1893860, Accumulated Leap Seconds=15 + { 2442960.50, 46.996976 }, //01 July 1976, UT1-UTC= 0.1870243, Accumulated Leap Seconds=15 + { 2442961.50, 46.999488 }, //02 July 1976, UT1-UTC= 0.1845115, Accumulated Leap Seconds=15 + { 2442962.50, 47.002111 }, //03 July 1976, UT1-UTC= 0.1818895, Accumulated Leap Seconds=15 + { 2442963.50, 47.004779 }, //04 July 1976, UT1-UTC= 0.1792212, Accumulated Leap Seconds=15 + { 2442964.50, 47.007423 }, //05 July 1976, UT1-UTC= 0.1765765, Accumulated Leap Seconds=15 + { 2442965.50, 47.009984 }, //06 July 1976, UT1-UTC= 0.1740161, Accumulated Leap Seconds=15 + { 2442966.50, 47.012422 }, //07 July 1976, UT1-UTC= 0.1715776, Accumulated Leap Seconds=15 + { 2442967.50, 47.014734 }, //08 July 1976, UT1-UTC= 0.1692657, Accumulated Leap Seconds=15 + { 2442968.50, 47.016949 }, //09 July 1976, UT1-UTC= 0.1670512, Accumulated Leap Seconds=15 + { 2442969.50, 47.019120 }, //10 July 1976, UT1-UTC= 0.1648797, Accumulated Leap Seconds=15 + { 2442970.50, 47.021310 }, //11 July 1976, UT1-UTC= 0.1626904, Accumulated Leap Seconds=15 + { 2442971.50, 47.023565 }, //12 July 1976, UT1-UTC= 0.1604353, Accumulated Leap Seconds=15 + { 2442972.50, 47.025907 }, //13 July 1976, UT1-UTC= 0.1580926, Accumulated Leap Seconds=15 + { 2442973.50, 47.028330 }, //14 July 1976, UT1-UTC= 0.1556695, Accumulated Leap Seconds=15 + { 2442974.50, 47.030806 }, //15 July 1976, UT1-UTC= 0.1531943, Accumulated Leap Seconds=15 + { 2442975.50, 47.033296 }, //16 July 1976, UT1-UTC= 0.1507039, Accumulated Leap Seconds=15 + { 2442976.50, 47.035765 }, //17 July 1976, UT1-UTC= 0.1482349, Accumulated Leap Seconds=15 + { 2442977.50, 47.038182 }, //18 July 1976, UT1-UTC= 0.1458182, Accumulated Leap Seconds=15 + { 2442978.50, 47.040523 }, //19 July 1976, UT1-UTC= 0.1434774, Accumulated Leap Seconds=15 + { 2442979.50, 47.042774 }, //20 July 1976, UT1-UTC= 0.1412263, Accumulated Leap Seconds=15 + { 2442980.50, 47.044934 }, //21 July 1976, UT1-UTC= 0.1390659, Accumulated Leap Seconds=15 + { 2442981.50, 47.047017 }, //22 July 1976, UT1-UTC= 0.1369828, Accumulated Leap Seconds=15 + { 2442982.50, 47.049051 }, //23 July 1976, UT1-UTC= 0.1349489, Accumulated Leap Seconds=15 + { 2442983.50, 47.051076 }, //24 July 1976, UT1-UTC= 0.1329242, Accumulated Leap Seconds=15 + { 2442984.50, 47.053140 }, //25 July 1976, UT1-UTC= 0.1308603, Accumulated Leap Seconds=15 + { 2442985.50, 47.055294 }, //26 July 1976, UT1-UTC= 0.1287061, Accumulated Leap Seconds=15 + { 2442986.50, 47.057584 }, //27 July 1976, UT1-UTC= 0.1264160, Accumulated Leap Seconds=15 + { 2442987.50, 47.060037 }, //28 July 1976, UT1-UTC= 0.1239628, Accumulated Leap Seconds=15 + { 2442988.50, 47.062650 }, //29 July 1976, UT1-UTC= 0.1213501, Accumulated Leap Seconds=15 + { 2442989.50, 47.065382 }, //30 July 1976, UT1-UTC= 0.1186180, Accumulated Leap Seconds=15 + { 2442990.50, 47.068164 }, //31 July 1976, UT1-UTC= 0.1158360, Accumulated Leap Seconds=15 + { 2442991.50, 47.070915 }, //01 August 1976, UT1-UTC= 0.1130852, Accumulated Leap Seconds=15 + { 2442992.50, 47.073564 }, //02 August 1976, UT1-UTC= 0.1104361, Accumulated Leap Seconds=15 + { 2442993.50, 47.076069 }, //03 August 1976, UT1-UTC= 0.1079306, Accumulated Leap Seconds=15 + { 2442994.50, 47.078425 }, //04 August 1976, UT1-UTC= 0.1055750, Accumulated Leap Seconds=15 + { 2442995.50, 47.080658 }, //05 August 1976, UT1-UTC= 0.1033424, Accumulated Leap Seconds=15 + { 2442996.50, 47.082817 }, //06 August 1976, UT1-UTC= 0.1011825, Accumulated Leap Seconds=15 + { 2442997.50, 47.084963 }, //07 August 1976, UT1-UTC= 0.0990371, Accumulated Leap Seconds=15 + { 2442998.50, 47.087145 }, //08 August 1976, UT1-UTC= 0.0968547, Accumulated Leap Seconds=15 + { 2442999.50, 47.089397 }, //09 August 1976, UT1-UTC= 0.0946034, Accumulated Leap Seconds=15 + { 2443000.50, 47.091723 }, //10 August 1976, UT1-UTC= 0.0922767, Accumulated Leap Seconds=15 + { 2443001.50, 47.094109 }, //11 August 1976, UT1-UTC= 0.0898910, Accumulated Leap Seconds=15 + { 2443002.50, 47.096521 }, //12 August 1976, UT1-UTC= 0.0874785, Accumulated Leap Seconds=15 + { 2443003.50, 47.098923 }, //13 August 1976, UT1-UTC= 0.0850769, Accumulated Leap Seconds=15 + { 2443004.50, 47.101280 }, //14 August 1976, UT1-UTC= 0.0827199, Accumulated Leap Seconds=15 + { 2443005.50, 47.103568 }, //15 August 1976, UT1-UTC= 0.0804324, Accumulated Leap Seconds=15 + { 2443006.50, 47.105772 }, //16 August 1976, UT1-UTC= 0.0782283, Accumulated Leap Seconds=15 + { 2443007.50, 47.107890 }, //17 August 1976, UT1-UTC= 0.0761102, Accumulated Leap Seconds=15 + { 2443008.50, 47.109933 }, //18 August 1976, UT1-UTC= 0.0740671, Accumulated Leap Seconds=15 + { 2443009.50, 47.111927 }, //19 August 1976, UT1-UTC= 0.0720730, Accumulated Leap Seconds=15 + { 2443010.50, 47.113911 }, //20 August 1976, UT1-UTC= 0.0700887, Accumulated Leap Seconds=15 + { 2443011.50, 47.115934 }, //21 August 1976, UT1-UTC= 0.0680656, Accumulated Leap Seconds=15 + { 2443012.50, 47.118050 }, //22 August 1976, UT1-UTC= 0.0659503, Accumulated Leap Seconds=15 + { 2443013.50, 47.120310 }, //23 August 1976, UT1-UTC= 0.0636903, Accumulated Leap Seconds=15 + { 2443014.50, 47.122756 }, //24 August 1976, UT1-UTC= 0.0612441, Accumulated Leap Seconds=15 + { 2443015.50, 47.125404 }, //25 August 1976, UT1-UTC= 0.0585955, Accumulated Leap Seconds=15 + { 2443016.50, 47.128234 }, //26 August 1976, UT1-UTC= 0.0557664, Accumulated Leap Seconds=15 + { 2443017.50, 47.131181 }, //27 August 1976, UT1-UTC= 0.0528187, Accumulated Leap Seconds=15 + { 2443018.50, 47.134159 }, //28 August 1976, UT1-UTC= 0.0498411, Accumulated Leap Seconds=15 + { 2443019.50, 47.137076 }, //29 August 1976, UT1-UTC= 0.0469235, Accumulated Leap Seconds=15 + { 2443020.50, 47.139871 }, //30 August 1976, UT1-UTC= 0.0441290, Accumulated Leap Seconds=15 + { 2443021.50, 47.142522 }, //31 August 1976, UT1-UTC= 0.0414781, Accumulated Leap Seconds=15 + { 2443022.50, 47.145052 }, //01 September 1976, UT1-UTC= 0.0389485, Accumulated Leap Seconds=15 + { 2443023.50, 47.147512 }, //02 September 1976, UT1-UTC= 0.0364884, Accumulated Leap Seconds=15 + { 2443024.50, 47.149965 }, //03 September 1976, UT1-UTC= 0.0340349, Accumulated Leap Seconds=15 + { 2443025.50, 47.152469 }, //04 September 1976, UT1-UTC= 0.0315307, Accumulated Leap Seconds=15 + { 2443026.50, 47.155065 }, //05 September 1976, UT1-UTC= 0.0289351, Accumulated Leap Seconds=15 + { 2443027.50, 47.157770 }, //06 September 1976, UT1-UTC= 0.0262297, Accumulated Leap Seconds=15 + { 2443028.50, 47.160580 }, //07 September 1976, UT1-UTC= 0.0234196, Accumulated Leap Seconds=15 + { 2443029.50, 47.163470 }, //08 September 1976, UT1-UTC= 0.0205296, Accumulated Leap Seconds=15 + { 2443030.50, 47.166404 }, //09 September 1976, UT1-UTC= 0.0175962, Accumulated Leap Seconds=15 + { 2443031.50, 47.169341 }, //10 September 1976, UT1-UTC= 0.0146585, Accumulated Leap Seconds=15 + { 2443032.50, 47.172250 }, //11 September 1976, UT1-UTC= 0.0117497, Accumulated Leap Seconds=15 + { 2443033.50, 47.175108 }, //12 September 1976, UT1-UTC= 0.0088917, Accumulated Leap Seconds=15 + { 2443034.50, 47.177906 }, //13 September 1976, UT1-UTC= 0.0060937, Accumulated Leap Seconds=15 + { 2443035.50, 47.180648 }, //14 September 1976, UT1-UTC= 0.0033520, Accumulated Leap Seconds=15 + { 2443036.50, 47.183351 }, //15 September 1976, UT1-UTC= 0.0006492, Accumulated Leap Seconds=15 + { 2443037.50, 47.186045 }, //16 September 1976, UT1-UTC=-0.0020446, Accumulated Leap Seconds=15 + { 2443038.50, 47.188770 }, //17 September 1976, UT1-UTC=-0.0047701, Accumulated Leap Seconds=15 + { 2443039.50, 47.191575 }, //18 September 1976, UT1-UTC=-0.0075751, Accumulated Leap Seconds=15 + { 2443040.50, 47.194510 }, //19 September 1976, UT1-UTC=-0.0105104, Accumulated Leap Seconds=15 + { 2443041.50, 47.197623 }, //20 September 1976, UT1-UTC=-0.0136229, Accumulated Leap Seconds=15 + { 2443042.50, 47.200944 }, //21 September 1976, UT1-UTC=-0.0169440, Accumulated Leap Seconds=15 + { 2443043.50, 47.204476 }, //22 September 1976, UT1-UTC=-0.0204755, Accumulated Leap Seconds=15 + { 2443044.50, 47.208178 }, //23 September 1976, UT1-UTC=-0.0241782, Accumulated Leap Seconds=15 + { 2443045.50, 47.211974 }, //24 September 1976, UT1-UTC=-0.0279738, Accumulated Leap Seconds=15 + { 2443046.50, 47.215763 }, //25 September 1976, UT1-UTC=-0.0317629, Accumulated Leap Seconds=15 + { 2443047.50, 47.219455 }, //26 September 1976, UT1-UTC=-0.0354553, Accumulated Leap Seconds=15 + { 2443048.50, 47.222998 }, //27 September 1976, UT1-UTC=-0.0389984, Accumulated Leap Seconds=15 + { 2443049.50, 47.226391 }, //28 September 1976, UT1-UTC=-0.0423905, Accumulated Leap Seconds=15 + { 2443050.50, 47.229673 }, //29 September 1976, UT1-UTC=-0.0456728, Accumulated Leap Seconds=15 + { 2443051.50, 47.232907 }, //30 September 1976, UT1-UTC=-0.0489075, Accumulated Leap Seconds=15 + { 2443052.50, 47.236154 }, //01 October 1976, UT1-UTC=-0.0521542, Accumulated Leap Seconds=15 + { 2443053.50, 47.239455 }, //02 October 1976, UT1-UTC=-0.0554553, Accumulated Leap Seconds=15 + { 2443054.50, 47.242830 }, //03 October 1976, UT1-UTC=-0.0588305, Accumulated Leap Seconds=15 + { 2443055.50, 47.246278 }, //04 October 1976, UT1-UTC=-0.0622778, Accumulated Leap Seconds=15 + { 2443056.50, 47.249778 }, //05 October 1976, UT1-UTC=-0.0657781, Accumulated Leap Seconds=15 + { 2443057.50, 47.253300 }, //06 October 1976, UT1-UTC=-0.0692999, Accumulated Leap Seconds=15 + { 2443058.50, 47.256806 }, //07 October 1976, UT1-UTC=-0.0728058, Accumulated Leap Seconds=15 + { 2443059.50, 47.260262 }, //08 October 1976, UT1-UTC=-0.0762616, Accumulated Leap Seconds=15 + { 2443060.50, 47.263642 }, //09 October 1976, UT1-UTC=-0.0796421, Accumulated Leap Seconds=15 + { 2443061.50, 47.266933 }, //10 October 1976, UT1-UTC=-0.0829332, Accumulated Leap Seconds=15 + { 2443062.50, 47.270135 }, //11 October 1976, UT1-UTC=-0.0861346, Accumulated Leap Seconds=15 + { 2443063.50, 47.273259 }, //12 October 1976, UT1-UTC=-0.0892595, Accumulated Leap Seconds=15 + { 2443064.50, 47.276333 }, //13 October 1976, UT1-UTC=-0.0923330, Accumulated Leap Seconds=15 + { 2443065.50, 47.279389 }, //14 October 1976, UT1-UTC=-0.0953893, Accumulated Leap Seconds=15 + { 2443066.50, 47.282470 }, //15 October 1976, UT1-UTC=-0.0984704, Accumulated Leap Seconds=15 + { 2443067.50, 47.285622 }, //16 October 1976, UT1-UTC=-0.1016220, Accumulated Leap Seconds=15 + { 2443068.50, 47.288890 }, //17 October 1976, UT1-UTC=-0.1048897, Accumulated Leap Seconds=15 + { 2443069.50, 47.292311 }, //18 October 1976, UT1-UTC=-0.1083106, Accumulated Leap Seconds=15 + { 2443070.50, 47.295904 }, //19 October 1976, UT1-UTC=-0.1119040, Accumulated Leap Seconds=15 + { 2443071.50, 47.299659 }, //20 October 1976, UT1-UTC=-0.1156586, Accumulated Leap Seconds=15 + { 2443072.50, 47.303525 }, //21 October 1976, UT1-UTC=-0.1195251, Accumulated Leap Seconds=15 + { 2443073.50, 47.307421 }, //22 October 1976, UT1-UTC=-0.1234210, Accumulated Leap Seconds=15 + { 2443074.50, 47.311252 }, //23 October 1976, UT1-UTC=-0.1272516, Accumulated Leap Seconds=15 + { 2443075.50, 47.314940 }, //24 October 1976, UT1-UTC=-0.1309398, Accumulated Leap Seconds=15 + { 2443076.50, 47.318452 }, //25 October 1976, UT1-UTC=-0.1344522, Accumulated Leap Seconds=15 + { 2443077.50, 47.321805 }, //26 October 1976, UT1-UTC=-0.1378055, Accumulated Leap Seconds=15 + { 2443078.50, 47.325053 }, //27 October 1976, UT1-UTC=-0.1410532, Accumulated Leap Seconds=15 + { 2443079.50, 47.328259 }, //28 October 1976, UT1-UTC=-0.1442595, Accumulated Leap Seconds=15 + { 2443080.50, 47.331475 }, //29 October 1976, UT1-UTC=-0.1474754, Accumulated Leap Seconds=15 + { 2443081.50, 47.334726 }, //30 October 1976, UT1-UTC=-0.1507262, Accumulated Leap Seconds=15 + { 2443082.50, 47.338014 }, //31 October 1976, UT1-UTC=-0.1540137, Accumulated Leap Seconds=15 + { 2443083.50, 47.341324 }, //01 November 1976, UT1-UTC=-0.1573241, Accumulated Leap Seconds=15 + { 2443084.50, 47.344634 }, //02 November 1976, UT1-UTC=-0.1606338, Accumulated Leap Seconds=15 + { 2443085.50, 47.347912 }, //03 November 1976, UT1-UTC=-0.1639125, Accumulated Leap Seconds=15 + { 2443086.50, 47.351129 }, //04 November 1976, UT1-UTC=-0.1671292, Accumulated Leap Seconds=15 + { 2443087.50, 47.354257 }, //05 November 1976, UT1-UTC=-0.1702568, Accumulated Leap Seconds=15 + { 2443088.50, 47.357277 }, //06 November 1976, UT1-UTC=-0.1732772, Accumulated Leap Seconds=15 + { 2443089.50, 47.360185 }, //07 November 1976, UT1-UTC=-0.1761852, Accumulated Leap Seconds=15 + { 2443090.50, 47.362990 }, //08 November 1976, UT1-UTC=-0.1789899, Accumulated Leap Seconds=15 + { 2443091.50, 47.365714 }, //09 November 1976, UT1-UTC=-0.1817139, Accumulated Leap Seconds=15 + { 2443092.50, 47.368390 }, //10 November 1976, UT1-UTC=-0.1843896, Accumulated Leap Seconds=15 + { 2443093.50, 47.371056 }, //11 November 1976, UT1-UTC=-0.1870564, Accumulated Leap Seconds=15 + { 2443094.50, 47.373758 }, //12 November 1976, UT1-UTC=-0.1897580, Accumulated Leap Seconds=15 + { 2443095.50, 47.376538 }, //13 November 1976, UT1-UTC=-0.1925376, Accumulated Leap Seconds=15 + { 2443096.50, 47.379433 }, //14 November 1976, UT1-UTC=-0.1954333, Accumulated Leap Seconds=15 + { 2443097.50, 47.382470 }, //15 November 1976, UT1-UTC=-0.1984697, Accumulated Leap Seconds=15 + { 2443098.50, 47.385650 }, //16 November 1976, UT1-UTC=-0.2016502, Accumulated Leap Seconds=15 + { 2443099.50, 47.388949 }, //17 November 1976, UT1-UTC=-0.2049494, Accumulated Leap Seconds=15 + { 2443100.50, 47.392314 }, //18 November 1976, UT1-UTC=-0.2083144, Accumulated Leap Seconds=15 + { 2443101.50, 47.395673 }, //19 November 1976, UT1-UTC=-0.2116730, Accumulated Leap Seconds=15 + { 2443102.50, 47.398952 }, //20 November 1976, UT1-UTC=-0.2149518, Accumulated Leap Seconds=15 + { 2443103.50, 47.402100 }, //21 November 1976, UT1-UTC=-0.2180999, Accumulated Leap Seconds=15 + { 2443104.50, 47.405109 }, //22 November 1976, UT1-UTC=-0.2211095, Accumulated Leap Seconds=15 + { 2443105.50, 47.408017 }, //23 November 1976, UT1-UTC=-0.2240172, Accumulated Leap Seconds=15 + { 2443106.50, 47.410885 }, //24 November 1976, UT1-UTC=-0.2268848, Accumulated Leap Seconds=15 + { 2443107.50, 47.413772 }, //25 November 1976, UT1-UTC=-0.2297720, Accumulated Leap Seconds=15 + { 2443108.50, 47.416716 }, //26 November 1976, UT1-UTC=-0.2327159, Accumulated Leap Seconds=15 + { 2443109.50, 47.419724 }, //27 November 1976, UT1-UTC=-0.2357238, Accumulated Leap Seconds=15 + { 2443110.50, 47.422779 }, //28 November 1976, UT1-UTC=-0.2387789, Accumulated Leap Seconds=15 + { 2443111.50, 47.425853 }, //29 November 1976, UT1-UTC=-0.2418531, Accumulated Leap Seconds=15 + { 2443112.50, 47.428915 }, //30 November 1976, UT1-UTC=-0.2449153, Accumulated Leap Seconds=15 + { 2443113.50, 47.431936 }, //01 December 1976, UT1-UTC=-0.2479364, Accumulated Leap Seconds=15 + { 2443114.50, 47.434892 }, //02 December 1976, UT1-UTC=-0.2508917, Accumulated Leap Seconds=15 + { 2443115.50, 47.437763 }, //03 December 1976, UT1-UTC=-0.2537633, Accumulated Leap Seconds=15 + { 2443116.50, 47.440544 }, //04 December 1976, UT1-UTC=-0.2565442, Accumulated Leap Seconds=15 + { 2443117.50, 47.443241 }, //05 December 1976, UT1-UTC=-0.2592407, Accumulated Leap Seconds=15 + { 2443118.50, 47.445873 }, //06 December 1976, UT1-UTC=-0.2618727, Accumulated Leap Seconds=15 + { 2443119.50, 47.448470 }, //07 December 1976, UT1-UTC=-0.2644700, Accumulated Leap Seconds=15 + { 2443120.50, 47.451069 }, //08 December 1976, UT1-UTC=-0.2670691, Accumulated Leap Seconds=15 + { 2443121.50, 47.453709 }, //09 December 1976, UT1-UTC=-0.2697089, Accumulated Leap Seconds=15 + { 2443122.50, 47.456427 }, //10 December 1976, UT1-UTC=-0.2724274, Accumulated Leap Seconds=15 + { 2443123.50, 47.459257 }, //11 December 1976, UT1-UTC=-0.2752571, Accumulated Leap Seconds=15 + { 2443124.50, 47.462219 }, //12 December 1976, UT1-UTC=-0.2782186, Accumulated Leap Seconds=15 + { 2443125.50, 47.465315 }, //13 December 1976, UT1-UTC=-0.2813151, Accumulated Leap Seconds=15 + { 2443126.50, 47.468528 }, //14 December 1976, UT1-UTC=-0.2845277, Accumulated Leap Seconds=15 + { 2443127.50, 47.471815 }, //15 December 1976, UT1-UTC=-0.2878148, Accumulated Leap Seconds=15 + { 2443128.50, 47.475116 }, //16 December 1976, UT1-UTC=-0.2911165, Accumulated Leap Seconds=15 + { 2443129.50, 47.478367 }, //17 December 1976, UT1-UTC=-0.2943671, Accumulated Leap Seconds=15 + { 2443130.50, 47.481512 }, //18 December 1976, UT1-UTC=-0.2975122, Accumulated Leap Seconds=15 + { 2443131.50, 47.484526 }, //19 December 1976, UT1-UTC=-0.3005265, Accumulated Leap Seconds=15 + { 2443132.50, 47.487423 }, //20 December 1976, UT1-UTC=-0.3034234, Accumulated Leap Seconds=15 + { 2443133.50, 47.490250 }, //21 December 1976, UT1-UTC=-0.3062498, Accumulated Leap Seconds=15 + { 2443134.50, 47.493065 }, //22 December 1976, UT1-UTC=-0.3090653, Accumulated Leap Seconds=15 + { 2443135.50, 47.495918 }, //23 December 1976, UT1-UTC=-0.3119181, Accumulated Leap Seconds=15 + { 2443136.50, 47.498829 }, //24 December 1976, UT1-UTC=-0.3148291, Accumulated Leap Seconds=15 + { 2443137.50, 47.501789 }, //25 December 1976, UT1-UTC=-0.3177886, Accumulated Leap Seconds=15 + { 2443138.50, 47.504766 }, //26 December 1976, UT1-UTC=-0.3207663, Accumulated Leap Seconds=15 + { 2443139.50, 47.507726 }, //27 December 1976, UT1-UTC=-0.3237258, Accumulated Leap Seconds=15 + { 2443140.50, 47.510634 }, //28 December 1976, UT1-UTC=-0.3266345, Accumulated Leap Seconds=15 + { 2443141.50, 47.513467 }, //29 December 1976, UT1-UTC=-0.3294667, Accumulated Leap Seconds=15 + { 2443142.50, 47.516205 }, //30 December 1976, UT1-UTC=-0.3322049, Accumulated Leap Seconds=15 + { 2443143.50, 47.518842 }, //31 December 1976, UT1-UTC=-0.3348417, Accumulated Leap Seconds=15 + { 2443144.50, 47.521381 }, //01 January 1977, UT1-UTC= 0.6626185, Accumulated Leap Seconds=16 + { 2443145.50, 47.523842 }, //02 January 1977, UT1-UTC= 0.6601581, Accumulated Leap Seconds=16 + { 2443146.50, 47.526252 }, //03 January 1977, UT1-UTC= 0.6577476, Accumulated Leap Seconds=16 + { 2443147.50, 47.528651 }, //04 January 1977, UT1-UTC= 0.6553493, Accumulated Leap Seconds=16 + { 2443148.50, 47.531078 }, //05 January 1977, UT1-UTC= 0.6529220, Accumulated Leap Seconds=16 + { 2443149.50, 47.533576 }, //06 January 1977, UT1-UTC= 0.6504243, Accumulated Leap Seconds=16 + { 2443150.50, 47.536180 }, //07 January 1977, UT1-UTC= 0.6478203, Accumulated Leap Seconds=16 + { 2443151.50, 47.538914 }, //08 January 1977, UT1-UTC= 0.6450864, Accumulated Leap Seconds=16 + { 2443152.50, 47.541781 }, //09 January 1977, UT1-UTC= 0.6422189, Accumulated Leap Seconds=16 + { 2443153.50, 47.544762 }, //10 January 1977, UT1-UTC= 0.6392375, Accumulated Leap Seconds=16 + { 2443154.50, 47.547816 }, //11 January 1977, UT1-UTC= 0.6361842, Accumulated Leap Seconds=16 + { 2443155.50, 47.550885 }, //12 January 1977, UT1-UTC= 0.6331152, Accumulated Leap Seconds=16 + { 2443156.50, 47.553912 }, //13 January 1977, UT1-UTC= 0.6300883, Accumulated Leap Seconds=16 + { 2443157.50, 47.556849 }, //14 January 1977, UT1-UTC= 0.6271505, Accumulated Leap Seconds=16 + { 2443158.50, 47.559675 }, //15 January 1977, UT1-UTC= 0.6243251, Accumulated Leap Seconds=16 + { 2443159.50, 47.562395 }, //16 January 1977, UT1-UTC= 0.6216051, Accumulated Leap Seconds=16 + { 2443160.50, 47.565047 }, //17 January 1977, UT1-UTC= 0.6189530, Accumulated Leap Seconds=16 + { 2443161.50, 47.567687 }, //18 January 1977, UT1-UTC= 0.6163126, Accumulated Leap Seconds=16 + { 2443162.50, 47.570372 }, //19 January 1977, UT1-UTC= 0.6136280, Accumulated Leap Seconds=16 + { 2443163.50, 47.573136 }, //20 January 1977, UT1-UTC= 0.6108637, Accumulated Leap Seconds=16 + { 2443164.50, 47.575984 }, //21 January 1977, UT1-UTC= 0.6080158, Accumulated Leap Seconds=16 + { 2443165.50, 47.578890 }, //22 January 1977, UT1-UTC= 0.6051100, Accumulated Leap Seconds=16 + { 2443166.50, 47.581811 }, //23 January 1977, UT1-UTC= 0.6021892, Accumulated Leap Seconds=16 + { 2443167.50, 47.584702 }, //24 January 1977, UT1-UTC= 0.5992982, Accumulated Leap Seconds=16 + { 2443168.50, 47.587526 }, //25 January 1977, UT1-UTC= 0.5964735, Accumulated Leap Seconds=16 + { 2443169.50, 47.590261 }, //26 January 1977, UT1-UTC= 0.5937394, Accumulated Leap Seconds=16 + { 2443170.50, 47.592892 }, //27 January 1977, UT1-UTC= 0.5911085, Accumulated Leap Seconds=16 + { 2443171.50, 47.595419 }, //28 January 1977, UT1-UTC= 0.5885810, Accumulated Leap Seconds=16 + { 2443172.50, 47.597856 }, //29 January 1977, UT1-UTC= 0.5861440, Accumulated Leap Seconds=16 + { 2443173.50, 47.600228 }, //30 January 1977, UT1-UTC= 0.5837720, Accumulated Leap Seconds=16 + { 2443174.50, 47.602572 }, //31 January 1977, UT1-UTC= 0.5814283, Accumulated Leap Seconds=16 + { 2443175.50, 47.604931 }, //01 February 1977, UT1-UTC= 0.5790687, Accumulated Leap Seconds=16 + { 2443176.50, 47.607353 }, //02 February 1977, UT1-UTC= 0.5766468, Accumulated Leap Seconds=16 + { 2443177.50, 47.609881 }, //03 February 1977, UT1-UTC= 0.5741194, Accumulated Leap Seconds=16 + { 2443178.50, 47.612547 }, //04 February 1977, UT1-UTC= 0.5714534, Accumulated Leap Seconds=16 + { 2443179.50, 47.615365 }, //05 February 1977, UT1-UTC= 0.5686346, Accumulated Leap Seconds=16 + { 2443180.50, 47.618324 }, //06 February 1977, UT1-UTC= 0.5656757, Accumulated Leap Seconds=16 + { 2443181.50, 47.621382 }, //07 February 1977, UT1-UTC= 0.5626180, Accumulated Leap Seconds=16 + { 2443182.50, 47.624476 }, //08 February 1977, UT1-UTC= 0.5595238, Accumulated Leap Seconds=16 + { 2443183.50, 47.627540 }, //09 February 1977, UT1-UTC= 0.5564602, Accumulated Leap Seconds=16 + { 2443184.50, 47.630519 }, //10 February 1977, UT1-UTC= 0.5534807, Accumulated Leap Seconds=16 + { 2443185.50, 47.633388 }, //11 February 1977, UT1-UTC= 0.5506118, Accumulated Leap Seconds=16 + { 2443186.50, 47.636152 }, //12 February 1977, UT1-UTC= 0.5478478, Accumulated Leap Seconds=16 + { 2443187.50, 47.638846 }, //13 February 1977, UT1-UTC= 0.5451542, Accumulated Leap Seconds=16 + { 2443188.50, 47.641523 }, //14 February 1977, UT1-UTC= 0.5424775, Accumulated Leap Seconds=16 + { 2443189.50, 47.644240 }, //15 February 1977, UT1-UTC= 0.5397602, Accumulated Leap Seconds=16 + { 2443190.50, 47.647043 }, //16 February 1977, UT1-UTC= 0.5369573, Accumulated Leap Seconds=16 + { 2443191.50, 47.649950 }, //17 February 1977, UT1-UTC= 0.5340500, Accumulated Leap Seconds=16 + { 2443192.50, 47.652951 }, //18 February 1977, UT1-UTC= 0.5310492, Accumulated Leap Seconds=16 + { 2443193.50, 47.656009 }, //19 February 1977, UT1-UTC= 0.5279908, Accumulated Leap Seconds=16 + { 2443194.50, 47.659077 }, //20 February 1977, UT1-UTC= 0.5249227, Accumulated Leap Seconds=16 + { 2443195.50, 47.662109 }, //21 February 1977, UT1-UTC= 0.5218909, Accumulated Leap Seconds=16 + { 2443196.50, 47.665070 }, //22 February 1977, UT1-UTC= 0.5189301, Accumulated Leap Seconds=16 + { 2443197.50, 47.667939 }, //23 February 1977, UT1-UTC= 0.5160611, Accumulated Leap Seconds=16 + { 2443198.50, 47.670709 }, //24 February 1977, UT1-UTC= 0.5132906, Accumulated Leap Seconds=16 + { 2443199.50, 47.673388 }, //25 February 1977, UT1-UTC= 0.5106119, Accumulated Leap Seconds=16 + { 2443200.50, 47.675994 }, //26 February 1977, UT1-UTC= 0.5080055, Accumulated Leap Seconds=16 + { 2443201.50, 47.678560 }, //27 February 1977, UT1-UTC= 0.5054395, Accumulated Leap Seconds=16 + { 2443202.50, 47.681126 }, //28 February 1977, UT1-UTC= 0.5028736, Accumulated Leap Seconds=16 + { 2443203.50, 47.683739 }, //01 March 1977, UT1-UTC= 0.5002612, Accumulated Leap Seconds=16 + { 2443204.50, 47.686444 }, //02 March 1977, UT1-UTC= 0.4975561, Accumulated Leap Seconds=16 + { 2443205.50, 47.689282 }, //03 March 1977, UT1-UTC= 0.4947180, Accumulated Leap Seconds=16 + { 2443206.50, 47.692279 }, //04 March 1977, UT1-UTC= 0.4917208, Accumulated Leap Seconds=16 + { 2443207.50, 47.695437 }, //05 March 1977, UT1-UTC= 0.4885627, Accumulated Leap Seconds=16 + { 2443208.50, 47.698726 }, //06 March 1977, UT1-UTC= 0.4852740, Accumulated Leap Seconds=16 + { 2443209.50, 47.702084 }, //07 March 1977, UT1-UTC= 0.4819160, Accumulated Leap Seconds=16 + { 2443210.50, 47.705432 }, //08 March 1977, UT1-UTC= 0.4785676, Accumulated Leap Seconds=16 + { 2443211.50, 47.708698 }, //09 March 1977, UT1-UTC= 0.4753023, Accumulated Leap Seconds=16 + { 2443212.50, 47.711833 }, //10 March 1977, UT1-UTC= 0.4721665, Accumulated Leap Seconds=16 + { 2443213.50, 47.714832 }, //11 March 1977, UT1-UTC= 0.4691678, Accumulated Leap Seconds=16 + { 2443214.50, 47.717723 }, //12 March 1977, UT1-UTC= 0.4662772, Accumulated Leap Seconds=16 + { 2443215.50, 47.720559 }, //13 March 1977, UT1-UTC= 0.4634414, Accumulated Leap Seconds=16 + { 2443216.50, 47.723399 }, //14 March 1977, UT1-UTC= 0.4606005, Accumulated Leap Seconds=16 + { 2443217.50, 47.726297 }, //15 March 1977, UT1-UTC= 0.4577033, Accumulated Leap Seconds=16 + { 2443218.50, 47.729281 }, //16 March 1977, UT1-UTC= 0.4547186, Accumulated Leap Seconds=16 + { 2443219.50, 47.732360 }, //17 March 1977, UT1-UTC= 0.4516395, Accumulated Leap Seconds=16 + { 2443220.50, 47.735516 }, //18 March 1977, UT1-UTC= 0.4484838, Accumulated Leap Seconds=16 + { 2443221.50, 47.738713 }, //19 March 1977, UT1-UTC= 0.4452868, Accumulated Leap Seconds=16 + { 2443222.50, 47.741910 }, //20 March 1977, UT1-UTC= 0.4420902, Accumulated Leap Seconds=16 + { 2443223.50, 47.745068 }, //21 March 1977, UT1-UTC= 0.4389315, Accumulated Leap Seconds=16 + { 2443224.50, 47.748163 }, //22 March 1977, UT1-UTC= 0.4358371, Accumulated Leap Seconds=16 + { 2443225.50, 47.751179 }, //23 March 1977, UT1-UTC= 0.4328211, Accumulated Leap Seconds=16 + { 2443226.50, 47.754116 }, //24 March 1977, UT1-UTC= 0.4298835, Accumulated Leap Seconds=16 + { 2443227.50, 47.756989 }, //25 March 1977, UT1-UTC= 0.4270109, Accumulated Leap Seconds=16 + { 2443228.50, 47.759822 }, //26 March 1977, UT1-UTC= 0.4241782, Accumulated Leap Seconds=16 + { 2443229.50, 47.762649 }, //27 March 1977, UT1-UTC= 0.4213506, Accumulated Leap Seconds=16 + { 2443230.50, 47.765513 }, //28 March 1977, UT1-UTC= 0.4184867, Accumulated Leap Seconds=16 + { 2443231.50, 47.768457 }, //29 March 1977, UT1-UTC= 0.4155428, Accumulated Leap Seconds=16 + { 2443232.50, 47.771522 }, //30 March 1977, UT1-UTC= 0.4124775, Accumulated Leap Seconds=16 + { 2443233.50, 47.774744 }, //31 March 1977, UT1-UTC= 0.4092564, Accumulated Leap Seconds=16 + { 2443234.50, 47.778138 }, //01 April 1977, UT1-UTC= 0.4058619, Accumulated Leap Seconds=16 + { 2443235.50, 47.781697 }, //02 April 1977, UT1-UTC= 0.4023032, Accumulated Leap Seconds=16 + { 2443236.50, 47.785377 }, //03 April 1977, UT1-UTC= 0.3986232, Accumulated Leap Seconds=16 + { 2443237.50, 47.789106 }, //04 April 1977, UT1-UTC= 0.3948942, Accumulated Leap Seconds=16 + { 2443238.50, 47.792799 }, //05 April 1977, UT1-UTC= 0.3912009, Accumulated Leap Seconds=16 + { 2443239.50, 47.796386 }, //06 April 1977, UT1-UTC= 0.3876139, Accumulated Leap Seconds=16 + { 2443240.50, 47.799833 }, //07 April 1977, UT1-UTC= 0.3841665, Accumulated Leap Seconds=16 + { 2443241.50, 47.803152 }, //08 April 1977, UT1-UTC= 0.3808477, Accumulated Leap Seconds=16 + { 2443242.50, 47.806387 }, //09 April 1977, UT1-UTC= 0.3776128, Accumulated Leap Seconds=16 + { 2443243.50, 47.809596 }, //10 April 1977, UT1-UTC= 0.3744038, Accumulated Leap Seconds=16 + { 2443244.50, 47.812830 }, //11 April 1977, UT1-UTC= 0.3711700, Accumulated Leap Seconds=16 + { 2443245.50, 47.816120 }, //12 April 1977, UT1-UTC= 0.3678802, Accumulated Leap Seconds=16 + { 2443246.50, 47.819473 }, //13 April 1977, UT1-UTC= 0.3645267, Accumulated Leap Seconds=16 + { 2443247.50, 47.822877 }, //14 April 1977, UT1-UTC= 0.3611225, Accumulated Leap Seconds=16 + { 2443248.50, 47.826304 }, //15 April 1977, UT1-UTC= 0.3576961, Accumulated Leap Seconds=16 + { 2443249.50, 47.829716 }, //16 April 1977, UT1-UTC= 0.3542844, Accumulated Leap Seconds=16 + { 2443250.50, 47.833075 }, //17 April 1977, UT1-UTC= 0.3509252, Accumulated Leap Seconds=16 + { 2443251.50, 47.836351 }, //18 April 1977, UT1-UTC= 0.3476494, Accumulated Leap Seconds=16 + { 2443252.50, 47.839524 }, //19 April 1977, UT1-UTC= 0.3444757, Accumulated Leap Seconds=16 + { 2443253.50, 47.842592 }, //20 April 1977, UT1-UTC= 0.3414078, Accumulated Leap Seconds=16 + { 2443254.50, 47.845564 }, //21 April 1977, UT1-UTC= 0.3384355, Accumulated Leap Seconds=16 + { 2443255.50, 47.848465 }, //22 April 1977, UT1-UTC= 0.3355354, Accumulated Leap Seconds=16 + { 2443256.50, 47.851326 }, //23 April 1977, UT1-UTC= 0.3326741, Accumulated Leap Seconds=16 + { 2443257.50, 47.854188 }, //24 April 1977, UT1-UTC= 0.3298116, Accumulated Leap Seconds=16 + { 2443258.50, 47.857095 }, //25 April 1977, UT1-UTC= 0.3269046, Accumulated Leap Seconds=16 + { 2443259.50, 47.860088 }, //26 April 1977, UT1-UTC= 0.3239115, Accumulated Leap Seconds=16 + { 2443260.50, 47.863204 }, //27 April 1977, UT1-UTC= 0.3207960, Accumulated Leap Seconds=16 + { 2443261.50, 47.866467 }, //28 April 1977, UT1-UTC= 0.3175325, Accumulated Leap Seconds=16 + { 2443262.50, 47.869886 }, //29 April 1977, UT1-UTC= 0.3141144, Accumulated Leap Seconds=16 + { 2443263.50, 47.873438 }, //30 April 1977, UT1-UTC= 0.3105615, Accumulated Leap Seconds=16 + { 2443264.50, 47.877076 }, //01 May 1977, UT1-UTC= 0.3069244, Accumulated Leap Seconds=16 + { 2443265.50, 47.880721 }, //02 May 1977, UT1-UTC= 0.3032788, Accumulated Leap Seconds=16 + { 2443266.50, 47.884295 }, //03 May 1977, UT1-UTC= 0.2997048, Accumulated Leap Seconds=16 + { 2443267.50, 47.887739 }, //04 May 1977, UT1-UTC= 0.2962607, Accumulated Leap Seconds=16 + { 2443268.50, 47.891038 }, //05 May 1977, UT1-UTC= 0.2929619, Accumulated Leap Seconds=16 + { 2443269.50, 47.894220 }, //06 May 1977, UT1-UTC= 0.2897801, Accumulated Leap Seconds=16 + { 2443270.50, 47.897340 }, //07 May 1977, UT1-UTC= 0.2866596, Accumulated Leap Seconds=16 + { 2443271.50, 47.900457 }, //08 May 1977, UT1-UTC= 0.2835434, Accumulated Leap Seconds=16 + { 2443272.50, 47.903606 }, //09 May 1977, UT1-UTC= 0.2803938, Accumulated Leap Seconds=16 + { 2443273.50, 47.906799 }, //10 May 1977, UT1-UTC= 0.2772006, Accumulated Leap Seconds=16 + { 2443274.50, 47.910022 }, //11 May 1977, UT1-UTC= 0.2739783, Accumulated Leap Seconds=16 + { 2443275.50, 47.913244 }, //12 May 1977, UT1-UTC= 0.2707555, Accumulated Leap Seconds=16 + { 2443276.50, 47.916433 }, //13 May 1977, UT1-UTC= 0.2675670, Accumulated Leap Seconds=16 + { 2443277.50, 47.919553 }, //14 May 1977, UT1-UTC= 0.2644468, Accumulated Leap Seconds=16 + { 2443278.50, 47.922576 }, //15 May 1977, UT1-UTC= 0.2614238, Accumulated Leap Seconds=16 + { 2443279.50, 47.925482 }, //16 May 1977, UT1-UTC= 0.2585176, Accumulated Leap Seconds=16 + { 2443280.50, 47.928265 }, //17 May 1977, UT1-UTC= 0.2557354, Accumulated Leap Seconds=16 + { 2443281.50, 47.930929 }, //18 May 1977, UT1-UTC= 0.2530705, Accumulated Leap Seconds=16 + { 2443282.50, 47.933496 }, //19 May 1977, UT1-UTC= 0.2505039, Accumulated Leap Seconds=16 + { 2443283.50, 47.935993 }, //20 May 1977, UT1-UTC= 0.2480069, Accumulated Leap Seconds=16 + { 2443284.50, 47.938455 }, //21 May 1977, UT1-UTC= 0.2455448, Accumulated Leap Seconds=16 + { 2443285.50, 47.940920 }, //22 May 1977, UT1-UTC= 0.2430797, Accumulated Leap Seconds=16 + { 2443286.50, 47.943425 }, //23 May 1977, UT1-UTC= 0.2405745, Accumulated Leap Seconds=16 + { 2443287.50, 47.946004 }, //24 May 1977, UT1-UTC= 0.2379961, Accumulated Leap Seconds=16 + { 2443288.50, 47.948680 }, //25 May 1977, UT1-UTC= 0.2353201, Accumulated Leap Seconds=16 + { 2443289.50, 47.951465 }, //26 May 1977, UT1-UTC= 0.2325353, Accumulated Leap Seconds=16 + { 2443290.50, 47.954351 }, //27 May 1977, UT1-UTC= 0.2296489, Accumulated Leap Seconds=16 + { 2443291.50, 47.957309 }, //28 May 1977, UT1-UTC= 0.2266911, Accumulated Leap Seconds=16 + { 2443292.50, 47.960285 }, //29 May 1977, UT1-UTC= 0.2237150, Accumulated Leap Seconds=16 + { 2443293.50, 47.963213 }, //30 May 1977, UT1-UTC= 0.2207873, Accumulated Leap Seconds=16 + { 2443294.50, 47.966032 }, //31 May 1977, UT1-UTC= 0.2179679, Accumulated Leap Seconds=16 + { 2443295.50, 47.968710 }, //01 June 1977, UT1-UTC= 0.2152896, Accumulated Leap Seconds=16 + { 2443296.50, 47.971255 }, //02 June 1977, UT1-UTC= 0.2127446, Accumulated Leap Seconds=16 + { 2443297.50, 47.973712 }, //03 June 1977, UT1-UTC= 0.2102882, Accumulated Leap Seconds=16 + { 2443298.50, 47.976141 }, //04 June 1977, UT1-UTC= 0.2078594, Accumulated Leap Seconds=16 + { 2443299.50, 47.978593 }, //05 June 1977, UT1-UTC= 0.2054067, Accumulated Leap Seconds=16 + { 2443300.50, 47.981093 }, //06 June 1977, UT1-UTC= 0.2029074, Accumulated Leap Seconds=16 + { 2443301.50, 47.983630 }, //07 June 1977, UT1-UTC= 0.2003697, Accumulated Leap Seconds=16 + { 2443302.50, 47.986177 }, //08 June 1977, UT1-UTC= 0.1978232, Accumulated Leap Seconds=16 + { 2443303.50, 47.988694 }, //09 June 1977, UT1-UTC= 0.1953057, Accumulated Leap Seconds=16 + { 2443304.50, 47.991147 }, //10 June 1977, UT1-UTC= 0.1928528, Accumulated Leap Seconds=16 + { 2443305.50, 47.993508 }, //11 June 1977, UT1-UTC= 0.1904918, Accumulated Leap Seconds=16 + { 2443306.50, 47.995760 }, //12 June 1977, UT1-UTC= 0.1882404, Accumulated Leap Seconds=16 + { 2443307.50, 47.997894 }, //13 June 1977, UT1-UTC= 0.1861060, Accumulated Leap Seconds=16 + { 2443308.50, 47.999917 }, //14 June 1977, UT1-UTC= 0.1840834, Accumulated Leap Seconds=16 + { 2443309.50, 48.001845 }, //15 June 1977, UT1-UTC= 0.1821549, Accumulated Leap Seconds=16 + { 2443310.50, 48.003706 }, //16 June 1977, UT1-UTC= 0.1802937, Accumulated Leap Seconds=16 + { 2443311.50, 48.005534 }, //17 June 1977, UT1-UTC= 0.1784663, Accumulated Leap Seconds=16 + { 2443312.50, 48.007363 }, //18 June 1977, UT1-UTC= 0.1766367, Accumulated Leap Seconds=16 + { 2443313.50, 48.009230 }, //19 June 1977, UT1-UTC= 0.1747697, Accumulated Leap Seconds=16 + { 2443314.50, 48.011166 }, //20 June 1977, UT1-UTC= 0.1728340, Accumulated Leap Seconds=16 + { 2443315.50, 48.013194 }, //21 June 1977, UT1-UTC= 0.1708059, Accumulated Leap Seconds=16 + { 2443316.50, 48.015326 }, //22 June 1977, UT1-UTC= 0.1686738, Accumulated Leap Seconds=16 + { 2443317.50, 48.017557 }, //23 June 1977, UT1-UTC= 0.1664431, Accumulated Leap Seconds=16 + { 2443318.50, 48.019863 }, //24 June 1977, UT1-UTC= 0.1641366, Accumulated Leap Seconds=16 + { 2443319.50, 48.022205 }, //25 June 1977, UT1-UTC= 0.1617951, Accumulated Leap Seconds=16 + { 2443320.50, 48.024529 }, //26 June 1977, UT1-UTC= 0.1594713, Accumulated Leap Seconds=16 + { 2443321.50, 48.026782 }, //27 June 1977, UT1-UTC= 0.1572181, Accumulated Leap Seconds=16 + { 2443322.50, 48.028928 }, //28 June 1977, UT1-UTC= 0.1550723, Accumulated Leap Seconds=16 + { 2443323.50, 48.030960 }, //29 June 1977, UT1-UTC= 0.1530401, Accumulated Leap Seconds=16 + { 2443324.50, 48.032908 }, //30 June 1977, UT1-UTC= 0.1510924, Accumulated Leap Seconds=16 + { 2443325.50, 48.034826 }, //01 July 1977, UT1-UTC= 0.1491743, Accumulated Leap Seconds=16 + { 2443326.50, 48.036773 }, //02 July 1977, UT1-UTC= 0.1472272, Accumulated Leap Seconds=16 + { 2443327.50, 48.038786 }, //03 July 1977, UT1-UTC= 0.1452138, Accumulated Leap Seconds=16 + { 2443328.50, 48.040868 }, //04 July 1977, UT1-UTC= 0.1431315, Accumulated Leap Seconds=16 + { 2443329.50, 48.042990 }, //05 July 1977, UT1-UTC= 0.1410102, Accumulated Leap Seconds=16 + { 2443330.50, 48.045103 }, //06 July 1977, UT1-UTC= 0.1388972, Accumulated Leap Seconds=16 + { 2443331.50, 48.047162 }, //07 July 1977, UT1-UTC= 0.1368378, Accumulated Leap Seconds=16 + { 2443332.50, 48.049134 }, //08 July 1977, UT1-UTC= 0.1348656, Accumulated Leap Seconds=16 + { 2443333.50, 48.051000 }, //09 July 1977, UT1-UTC= 0.1330001, Accumulated Leap Seconds=16 + { 2443334.50, 48.052751 }, //10 July 1977, UT1-UTC= 0.1312487, Accumulated Leap Seconds=16 + { 2443335.50, 48.054393 }, //11 July 1977, UT1-UTC= 0.1296067, Accumulated Leap Seconds=16 + { 2443336.50, 48.055943 }, //12 July 1977, UT1-UTC= 0.1280574, Accumulated Leap Seconds=16 + { 2443337.50, 48.057428 }, //13 July 1977, UT1-UTC= 0.1265717, Accumulated Leap Seconds=16 + { 2443338.50, 48.058888 }, //14 July 1977, UT1-UTC= 0.1251116, Accumulated Leap Seconds=16 + { 2443339.50, 48.060365 }, //15 July 1977, UT1-UTC= 0.1236351, Accumulated Leap Seconds=16 + { 2443340.50, 48.061899 }, //16 July 1977, UT1-UTC= 0.1221012, Accumulated Leap Seconds=16 + { 2443341.50, 48.063527 }, //17 July 1977, UT1-UTC= 0.1204734, Accumulated Leap Seconds=16 + { 2443342.50, 48.065276 }, //18 July 1977, UT1-UTC= 0.1187243, Accumulated Leap Seconds=16 + { 2443343.50, 48.067160 }, //19 July 1977, UT1-UTC= 0.1168399, Accumulated Leap Seconds=16 + { 2443344.50, 48.069176 }, //20 July 1977, UT1-UTC= 0.1148243, Accumulated Leap Seconds=16 + { 2443345.50, 48.071299 }, //21 July 1977, UT1-UTC= 0.1127012, Accumulated Leap Seconds=16 + { 2443346.50, 48.073488 }, //22 July 1977, UT1-UTC= 0.1105123, Accumulated Leap Seconds=16 + { 2443347.50, 48.075692 }, //23 July 1977, UT1-UTC= 0.1083077, Accumulated Leap Seconds=16 + { 2443348.50, 48.077864 }, //24 July 1977, UT1-UTC= 0.1061359, Accumulated Leap Seconds=16 + { 2443349.50, 48.079968 }, //25 July 1977, UT1-UTC= 0.1040324, Accumulated Leap Seconds=16 + { 2443350.50, 48.081990 }, //26 July 1977, UT1-UTC= 0.1020104, Accumulated Leap Seconds=16 + { 2443351.50, 48.083945 }, //27 July 1977, UT1-UTC= 0.1000546, Accumulated Leap Seconds=16 + { 2443352.50, 48.085876 }, //28 July 1977, UT1-UTC= 0.0981241, Accumulated Leap Seconds=16 + { 2443353.50, 48.087835 }, //29 July 1977, UT1-UTC= 0.0961651, Accumulated Leap Seconds=16 + { 2443354.50, 48.089868 }, //30 July 1977, UT1-UTC= 0.0941317, Accumulated Leap Seconds=16 + { 2443355.50, 48.091996 }, //31 July 1977, UT1-UTC= 0.0920042, Accumulated Leap Seconds=16 + { 2443356.50, 48.094202 }, //01 August 1977, UT1-UTC= 0.0897979, Accumulated Leap Seconds=16 + { 2443357.50, 48.096443 }, //02 August 1977, UT1-UTC= 0.0875573, Accumulated Leap Seconds=16 + { 2443358.50, 48.098663 }, //03 August 1977, UT1-UTC= 0.0853374, Accumulated Leap Seconds=16 + { 2443359.50, 48.100814 }, //04 August 1977, UT1-UTC= 0.0831856, Accumulated Leap Seconds=16 + { 2443360.50, 48.102867 }, //05 August 1977, UT1-UTC= 0.0811332, Accumulated Leap Seconds=16 + { 2443361.50, 48.104806 }, //06 August 1977, UT1-UTC= 0.0791938, Accumulated Leap Seconds=16 + { 2443362.50, 48.106634 }, //07 August 1977, UT1-UTC= 0.0773662, Accumulated Leap Seconds=16 + { 2443363.50, 48.108364 }, //08 August 1977, UT1-UTC= 0.0756364, Accumulated Leap Seconds=16 + { 2443364.50, 48.110022 }, //09 August 1977, UT1-UTC= 0.0739781, Accumulated Leap Seconds=16 + { 2443365.50, 48.111646 }, //10 August 1977, UT1-UTC= 0.0723543, Accumulated Leap Seconds=16 + { 2443366.50, 48.113278 }, //11 August 1977, UT1-UTC= 0.0707221, Accumulated Leap Seconds=16 + { 2443367.50, 48.114961 }, //12 August 1977, UT1-UTC= 0.0690390, Accumulated Leap Seconds=16 + { 2443368.50, 48.116733 }, //13 August 1977, UT1-UTC= 0.0672667, Accumulated Leap Seconds=16 + { 2443369.50, 48.118625 }, //14 August 1977, UT1-UTC= 0.0653746, Accumulated Leap Seconds=16 + { 2443370.50, 48.120656 }, //15 August 1977, UT1-UTC= 0.0633441, Accumulated Leap Seconds=16 + { 2443371.50, 48.122826 }, //16 August 1977, UT1-UTC= 0.0611742, Accumulated Leap Seconds=16 + { 2443372.50, 48.125115 }, //17 August 1977, UT1-UTC= 0.0588849, Accumulated Leap Seconds=16 + { 2443373.50, 48.127482 }, //18 August 1977, UT1-UTC= 0.0565178, Accumulated Leap Seconds=16 + { 2443374.50, 48.129873 }, //19 August 1977, UT1-UTC= 0.0541272, Accumulated Leap Seconds=16 + { 2443375.50, 48.132234 }, //20 August 1977, UT1-UTC= 0.0517664, Accumulated Leap Seconds=16 + { 2443376.50, 48.134527 }, //21 August 1977, UT1-UTC= 0.0494732, Accumulated Leap Seconds=16 + { 2443377.50, 48.136740 }, //22 August 1977, UT1-UTC= 0.0472599, Accumulated Leap Seconds=16 + { 2443378.50, 48.138890 }, //23 August 1977, UT1-UTC= 0.0451103, Accumulated Leap Seconds=16 + { 2443379.50, 48.141016 }, //24 August 1977, UT1-UTC= 0.0429836, Accumulated Leap Seconds=16 + { 2443380.50, 48.143175 }, //25 August 1977, UT1-UTC= 0.0408246, Accumulated Leap Seconds=16 + { 2443381.50, 48.145421 }, //26 August 1977, UT1-UTC= 0.0385791, Accumulated Leap Seconds=16 + { 2443382.50, 48.147790 }, //27 August 1977, UT1-UTC= 0.0362104, Accumulated Leap Seconds=16 + { 2443383.50, 48.150288 }, //28 August 1977, UT1-UTC= 0.0337119, Accumulated Leap Seconds=16 + { 2443384.50, 48.152891 }, //29 August 1977, UT1-UTC= 0.0311093, Accumulated Leap Seconds=16 + { 2443385.50, 48.155549 }, //30 August 1977, UT1-UTC= 0.0284512, Accumulated Leap Seconds=16 + { 2443386.50, 48.158208 }, //31 August 1977, UT1-UTC= 0.0257924, Accumulated Leap Seconds=16 + { 2443387.50, 48.160820 }, //01 September 1977, UT1-UTC= 0.0231795, Accumulated Leap Seconds=16 + { 2443388.50, 48.163360 }, //02 September 1977, UT1-UTC= 0.0206401, Accumulated Leap Seconds=16 + { 2443389.50, 48.165817 }, //03 September 1977, UT1-UTC= 0.0181826, Accumulated Leap Seconds=16 + { 2443390.50, 48.168201 }, //04 September 1977, UT1-UTC= 0.0157992, Accumulated Leap Seconds=16 + { 2443391.50, 48.170530 }, //05 September 1977, UT1-UTC= 0.0134699, Accumulated Leap Seconds=16 + { 2443392.50, 48.172835 }, //06 September 1977, UT1-UTC= 0.0111649, Accumulated Leap Seconds=16 + { 2443393.50, 48.175153 }, //07 September 1977, UT1-UTC= 0.0088469, Accumulated Leap Seconds=16 + { 2443394.50, 48.177525 }, //08 September 1977, UT1-UTC= 0.0064745, Accumulated Leap Seconds=16 + { 2443395.50, 48.179992 }, //09 September 1977, UT1-UTC= 0.0040079, Accumulated Leap Seconds=16 + { 2443396.50, 48.182587 }, //10 September 1977, UT1-UTC= 0.0014130, Accumulated Leap Seconds=16 + { 2443397.50, 48.185334 }, //11 September 1977, UT1-UTC=-0.0013344, Accumulated Leap Seconds=16 + { 2443398.50, 48.188244 }, //12 September 1977, UT1-UTC=-0.0042437, Accumulated Leap Seconds=16 + { 2443399.50, 48.191302 }, //13 September 1977, UT1-UTC=-0.0073023, Accumulated Leap Seconds=16 + { 2443400.50, 48.194472 }, //14 September 1977, UT1-UTC=-0.0104725, Accumulated Leap Seconds=16 + { 2443401.50, 48.197695 }, //15 September 1977, UT1-UTC=-0.0136949, Accumulated Leap Seconds=16 + { 2443402.50, 48.200901 }, //16 September 1977, UT1-UTC=-0.0169013, Accumulated Leap Seconds=16 + { 2443403.50, 48.204034 }, //17 September 1977, UT1-UTC=-0.0200341, Accumulated Leap Seconds=16 + { 2443404.50, 48.207063 }, //18 September 1977, UT1-UTC=-0.0230626, Accumulated Leap Seconds=16 + { 2443405.50, 48.209991 }, //19 September 1977, UT1-UTC=-0.0259907, Accumulated Leap Seconds=16 + { 2443406.50, 48.212852 }, //20 September 1977, UT1-UTC=-0.0288518, Accumulated Leap Seconds=16 + { 2443407.50, 48.215697 }, //21 September 1977, UT1-UTC=-0.0316966, Accumulated Leap Seconds=16 + { 2443408.50, 48.218578 }, //22 September 1977, UT1-UTC=-0.0345779, Accumulated Leap Seconds=16 + { 2443409.50, 48.221536 }, //23 September 1977, UT1-UTC=-0.0375362, Accumulated Leap Seconds=16 + { 2443410.50, 48.224588 }, //24 September 1977, UT1-UTC=-0.0405881, Accumulated Leap Seconds=16 + { 2443411.50, 48.227723 }, //25 September 1977, UT1-UTC=-0.0437228, Accumulated Leap Seconds=16 + { 2443412.50, 48.230905 }, //26 September 1977, UT1-UTC=-0.0469046, Accumulated Leap Seconds=16 + { 2443413.50, 48.234084 }, //27 September 1977, UT1-UTC=-0.0500839, Accumulated Leap Seconds=16 + { 2443414.50, 48.237211 }, //28 September 1977, UT1-UTC=-0.0532112, Accumulated Leap Seconds=16 + { 2443415.50, 48.240249 }, //29 September 1977, UT1-UTC=-0.0562493, Accumulated Leap Seconds=16 + { 2443416.50, 48.243180 }, //30 September 1977, UT1-UTC=-0.0591797, Accumulated Leap Seconds=16 + { 2443417.50, 48.246003 }, //01 October 1977, UT1-UTC=-0.0620028, Accumulated Leap Seconds=16 + { 2443418.50, 48.248734 }, //02 October 1977, UT1-UTC=-0.0647341, Accumulated Leap Seconds=16 + { 2443419.50, 48.251402 }, //03 October 1977, UT1-UTC=-0.0674021, Accumulated Leap Seconds=16 + { 2443420.50, 48.254045 }, //04 October 1977, UT1-UTC=-0.0700452, Accumulated Leap Seconds=16 + { 2443421.50, 48.256706 }, //05 October 1977, UT1-UTC=-0.0727063, Accumulated Leap Seconds=16 + { 2443422.50, 48.259430 }, //06 October 1977, UT1-UTC=-0.0754298, Accumulated Leap Seconds=16 + { 2443423.50, 48.262256 }, //07 October 1977, UT1-UTC=-0.0782563, Accumulated Leap Seconds=16 + { 2443424.50, 48.265219 }, //08 October 1977, UT1-UTC=-0.0812191, Accumulated Leap Seconds=16 + { 2443425.50, 48.268341 }, //09 October 1977, UT1-UTC=-0.0843411, Accumulated Leap Seconds=16 + { 2443426.50, 48.271629 }, //10 October 1977, UT1-UTC=-0.0876288, Accumulated Leap Seconds=16 + { 2443427.50, 48.275063 }, //11 October 1977, UT1-UTC=-0.0910627, Accumulated Leap Seconds=16 + { 2443428.50, 48.278596 }, //12 October 1977, UT1-UTC=-0.0945959, Accumulated Leap Seconds=16 + { 2443429.50, 48.282162 }, //13 October 1977, UT1-UTC=-0.0981618, Accumulated Leap Seconds=16 + { 2443430.50, 48.285690 }, //14 October 1977, UT1-UTC=-0.1016902, Accumulated Leap Seconds=16 + { 2443431.50, 48.289129 }, //15 October 1977, UT1-UTC=-0.1051289, Accumulated Leap Seconds=16 + { 2443432.50, 48.292460 }, //16 October 1977, UT1-UTC=-0.1084605, Accumulated Leap Seconds=16 + { 2443433.50, 48.295705 }, //17 October 1977, UT1-UTC=-0.1117055, Accumulated Leap Seconds=16 + { 2443434.50, 48.298910 }, //18 October 1977, UT1-UTC=-0.1149104, Accumulated Leap Seconds=16 + { 2443435.50, 48.302128 }, //19 October 1977, UT1-UTC=-0.1181282, Accumulated Leap Seconds=16 + { 2443436.50, 48.305401 }, //20 October 1977, UT1-UTC=-0.1214013, Accumulated Leap Seconds=16 + { 2443437.50, 48.308749 }, //21 October 1977, UT1-UTC=-0.1247493, Accumulated Leap Seconds=16 + { 2443438.50, 48.312167 }, //22 October 1977, UT1-UTC=-0.1281672, Accumulated Leap Seconds=16 + { 2443439.50, 48.315629 }, //23 October 1977, UT1-UTC=-0.1316292, Accumulated Leap Seconds=16 + { 2443440.50, 48.319096 }, //24 October 1977, UT1-UTC=-0.1350957, Accumulated Leap Seconds=16 + { 2443441.50, 48.322522 }, //25 October 1977, UT1-UTC=-0.1385223, Accumulated Leap Seconds=16 + { 2443442.50, 48.325869 }, //26 October 1977, UT1-UTC=-0.1418689, Accumulated Leap Seconds=16 + { 2443443.50, 48.329108 }, //27 October 1977, UT1-UTC=-0.1451081, Accumulated Leap Seconds=16 + { 2443444.50, 48.332230 }, //28 October 1977, UT1-UTC=-0.1482296, Accumulated Leap Seconds=16 + { 2443445.50, 48.335240 }, //29 October 1977, UT1-UTC=-0.1512403, Accumulated Leap Seconds=16 + { 2443446.50, 48.338160 }, //30 October 1977, UT1-UTC=-0.1541601, Accumulated Leap Seconds=16 + { 2443447.50, 48.341019 }, //31 October 1977, UT1-UTC=-0.1570190, Accumulated Leap Seconds=16 + { 2443448.50, 48.343853 }, //01 November 1977, UT1-UTC=-0.1598529, Accumulated Leap Seconds=16 + { 2443449.50, 48.346701 }, //02 November 1977, UT1-UTC=-0.1627007, Accumulated Leap Seconds=16 + { 2443450.50, 48.349600 }, //03 November 1977, UT1-UTC=-0.1656005, Accumulated Leap Seconds=16 + { 2443451.50, 48.352585 }, //04 November 1977, UT1-UTC=-0.1685848, Accumulated Leap Seconds=16 + { 2443452.50, 48.355677 }, //05 November 1977, UT1-UTC=-0.1716771, Accumulated Leap Seconds=16 + { 2443453.50, 48.358889 }, //06 November 1977, UT1-UTC=-0.1748889, Accumulated Leap Seconds=16 + { 2443454.50, 48.362216 }, //07 November 1977, UT1-UTC=-0.1782163, Accumulated Leap Seconds=16 + { 2443455.50, 48.365635 }, //08 November 1977, UT1-UTC=-0.1816348, Accumulated Leap Seconds=16 + { 2443456.50, 48.369098 }, //09 November 1977, UT1-UTC=-0.1850976, Accumulated Leap Seconds=16 + { 2443457.50, 48.372543 }, //10 November 1977, UT1-UTC=-0.1885430, Accumulated Leap Seconds=16 + { 2443458.50, 48.375912 }, //11 November 1977, UT1-UTC=-0.1919116, Accumulated Leap Seconds=16 + { 2443459.50, 48.379168 }, //12 November 1977, UT1-UTC=-0.1951680, Accumulated Leap Seconds=16 + { 2443460.50, 48.382314 }, //13 November 1977, UT1-UTC=-0.1983145, Accumulated Leap Seconds=16 + { 2443461.50, 48.385389 }, //14 November 1977, UT1-UTC=-0.2013892, Accumulated Leap Seconds=16 + { 2443462.50, 48.388448 }, //15 November 1977, UT1-UTC=-0.2044481, Accumulated Leap Seconds=16 + { 2443463.50, 48.391541 }, //16 November 1977, UT1-UTC=-0.2075413, Accumulated Leap Seconds=16 + { 2443464.50, 48.394695 }, //17 November 1977, UT1-UTC=-0.2106952, Accumulated Leap Seconds=16 + { 2443465.50, 48.397907 }, //18 November 1977, UT1-UTC=-0.2139069, Accumulated Leap Seconds=16 + { 2443466.50, 48.401151 }, //19 November 1977, UT1-UTC=-0.2171508, Accumulated Leap Seconds=16 + { 2443467.50, 48.404390 }, //20 November 1977, UT1-UTC=-0.2203904, Accumulated Leap Seconds=16 + { 2443468.50, 48.407587 }, //21 November 1977, UT1-UTC=-0.2235871, Accumulated Leap Seconds=16 + { 2443469.50, 48.410708 }, //22 November 1977, UT1-UTC=-0.2267076, Accumulated Leap Seconds=16 + { 2443470.50, 48.413728 }, //23 November 1977, UT1-UTC=-0.2297285, Accumulated Leap Seconds=16 + { 2443471.50, 48.416639 }, //24 November 1977, UT1-UTC=-0.2326390, Accumulated Leap Seconds=16 + { 2443472.50, 48.419443 }, //25 November 1977, UT1-UTC=-0.2354430, Accumulated Leap Seconds=16 + { 2443473.50, 48.422158 }, //26 November 1977, UT1-UTC=-0.2381579, Accumulated Leap Seconds=16 + { 2443474.50, 48.424811 }, //27 November 1977, UT1-UTC=-0.2408114, Accumulated Leap Seconds=16 + { 2443475.50, 48.427438 }, //28 November 1977, UT1-UTC=-0.2434384, Accumulated Leap Seconds=16 + { 2443476.50, 48.430078 }, //29 November 1977, UT1-UTC=-0.2460776, Accumulated Leap Seconds=16 + { 2443477.50, 48.432767 }, //30 November 1977, UT1-UTC=-0.2487671, Accumulated Leap Seconds=16 + { 2443478.50, 48.435540 }, //01 December 1977, UT1-UTC=-0.2515405, Accumulated Leap Seconds=16 + { 2443479.50, 48.438424 }, //02 December 1977, UT1-UTC=-0.2544239, Accumulated Leap Seconds=16 + { 2443480.50, 48.441433 }, //03 December 1977, UT1-UTC=-0.2574326, Accumulated Leap Seconds=16 + { 2443481.50, 48.444569 }, //04 December 1977, UT1-UTC=-0.2605691, Accumulated Leap Seconds=16 + { 2443482.50, 48.447821 }, //05 December 1977, UT1-UTC=-0.2638210, Accumulated Leap Seconds=16 + { 2443483.50, 48.451159 }, //06 December 1977, UT1-UTC=-0.2671588, Accumulated Leap Seconds=16 + { 2443484.50, 48.454537 }, //07 December 1977, UT1-UTC=-0.2705366, Accumulated Leap Seconds=16 + { 2443485.50, 48.457901 }, //08 December 1977, UT1-UTC=-0.2739012, Accumulated Leap Seconds=16 + { 2443486.50, 48.461209 }, //09 December 1977, UT1-UTC=-0.2772087, Accumulated Leap Seconds=16 + { 2443487.50, 48.464444 }, //10 December 1977, UT1-UTC=-0.2804441, Accumulated Leap Seconds=16 + { 2443488.50, 48.467629 }, //11 December 1977, UT1-UTC=-0.2836291, Accumulated Leap Seconds=16 + { 2443489.50, 48.470813 }, //12 December 1977, UT1-UTC=-0.2868129, Accumulated Leap Seconds=16 + { 2443490.50, 48.474048 }, //13 December 1977, UT1-UTC=-0.2900484, Accumulated Leap Seconds=16 + { 2443491.50, 48.477370 }, //14 December 1977, UT1-UTC=-0.2933703, Accumulated Leap Seconds=16 + { 2443492.50, 48.480781 }, //15 December 1977, UT1-UTC=-0.2967807, Accumulated Leap Seconds=16 + { 2443493.50, 48.484251 }, //16 December 1977, UT1-UTC=-0.3002507, Accumulated Leap Seconds=16 + { 2443494.50, 48.487734 }, //17 December 1977, UT1-UTC=-0.3037341, Accumulated Leap Seconds=16 + { 2443495.50, 48.491183 }, //18 December 1977, UT1-UTC=-0.3071833, Accumulated Leap Seconds=16 + { 2443496.50, 48.494560 }, //19 December 1977, UT1-UTC=-0.3105604, Accumulated Leap Seconds=16 + { 2443497.50, 48.497841 }, //20 December 1977, UT1-UTC=-0.3138409, Accumulated Leap Seconds=16 + { 2443498.50, 48.501014 }, //21 December 1977, UT1-UTC=-0.3170136, Accumulated Leap Seconds=16 + { 2443499.50, 48.504080 }, //22 December 1977, UT1-UTC=-0.3200801, Accumulated Leap Seconds=16 + { 2443500.50, 48.507054 }, //23 December 1977, UT1-UTC=-0.3230544, Accumulated Leap Seconds=16 + { 2443501.50, 48.509961 }, //24 December 1977, UT1-UTC=-0.3259612, Accumulated Leap Seconds=16 + { 2443502.50, 48.512832 }, //25 December 1977, UT1-UTC=-0.3288325, Accumulated Leap Seconds=16 + { 2443503.50, 48.515704 }, //26 December 1977, UT1-UTC=-0.3317040, Accumulated Leap Seconds=16 + { 2443504.50, 48.518610 }, //27 December 1977, UT1-UTC=-0.3346102, Accumulated Leap Seconds=16 + { 2443505.50, 48.521582 }, //28 December 1977, UT1-UTC=-0.3375816, Accumulated Leap Seconds=16 + { 2443506.50, 48.524641 }, //29 December 1977, UT1-UTC=-0.3406413, Accumulated Leap Seconds=16 + { 2443507.50, 48.527802 }, //30 December 1977, UT1-UTC=-0.3438023, Accumulated Leap Seconds=16 + { 2443508.50, 48.531065 }, //31 December 1977, UT1-UTC=-0.3470650, Accumulated Leap Seconds=16 + { 2443509.50, 48.534416 }, //01 January 1978, UT1-UTC= 0.6495837, Accumulated Leap Seconds=17 + { 2443510.50, 48.537830 }, //02 January 1978, UT1-UTC= 0.6461695, Accumulated Leap Seconds=17 + { 2443511.50, 48.541271 }, //03 January 1978, UT1-UTC= 0.6427289, Accumulated Leap Seconds=17 + { 2443512.50, 48.544695 }, //04 January 1978, UT1-UTC= 0.6393046, Accumulated Leap Seconds=17 + { 2443513.50, 48.548064 }, //05 January 1978, UT1-UTC= 0.6359360, Accumulated Leap Seconds=17 + { 2443514.50, 48.551353 }, //06 January 1978, UT1-UTC= 0.6326465, Accumulated Leap Seconds=17 + { 2443515.50, 48.554568 }, //07 January 1978, UT1-UTC= 0.6294315, Accumulated Leap Seconds=17 + { 2443516.50, 48.557744 }, //08 January 1978, UT1-UTC= 0.6262563, Accumulated Leap Seconds=17 + { 2443517.50, 48.560932 }, //09 January 1978, UT1-UTC= 0.6230682, Accumulated Leap Seconds=17 + { 2443518.50, 48.564180 }, //10 January 1978, UT1-UTC= 0.6198196, Accumulated Leap Seconds=17 + { 2443519.50, 48.567511 }, //11 January 1978, UT1-UTC= 0.6164887, Accumulated Leap Seconds=17 + { 2443520.50, 48.570909 }, //12 January 1978, UT1-UTC= 0.6130910, Accumulated Leap Seconds=17 + { 2443521.50, 48.574328 }, //13 January 1978, UT1-UTC= 0.6096721, Accumulated Leap Seconds=17 + { 2443522.50, 48.577710 }, //14 January 1978, UT1-UTC= 0.6062895, Accumulated Leap Seconds=17 + { 2443523.50, 48.581007 }, //15 January 1978, UT1-UTC= 0.6029926, Accumulated Leap Seconds=17 + { 2443524.50, 48.584187 }, //16 January 1978, UT1-UTC= 0.5998129, Accumulated Leap Seconds=17 + { 2443525.50, 48.587238 }, //17 January 1978, UT1-UTC= 0.5967623, Accumulated Leap Seconds=17 + { 2443526.50, 48.590164 }, //18 January 1978, UT1-UTC= 0.5938363, Accumulated Leap Seconds=17 + { 2443527.50, 48.592982 }, //19 January 1978, UT1-UTC= 0.5910181, Accumulated Leap Seconds=17 + { 2443528.50, 48.595720 }, //20 January 1978, UT1-UTC= 0.5882799, Accumulated Leap Seconds=17 + { 2443529.50, 48.598414 }, //21 January 1978, UT1-UTC= 0.5855859, Accumulated Leap Seconds=17 + { 2443530.50, 48.601104 }, //22 January 1978, UT1-UTC= 0.5828958, Accumulated Leap Seconds=17 + { 2443531.50, 48.603830 }, //23 January 1978, UT1-UTC= 0.5801696, Accumulated Leap Seconds=17 + { 2443532.50, 48.606628 }, //24 January 1978, UT1-UTC= 0.5773717, Accumulated Leap Seconds=17 + { 2443533.50, 48.609526 }, //25 January 1978, UT1-UTC= 0.5744735, Accumulated Leap Seconds=17 + { 2443534.50, 48.612543 }, //26 January 1978, UT1-UTC= 0.5714572, Accumulated Leap Seconds=17 + { 2443535.50, 48.615682 }, //27 January 1978, UT1-UTC= 0.5683182, Accumulated Leap Seconds=17 + { 2443536.50, 48.618933 }, //28 January 1978, UT1-UTC= 0.5650671, Accumulated Leap Seconds=17 + { 2443537.50, 48.622271 }, //29 January 1978, UT1-UTC= 0.5617291, Accumulated Leap Seconds=17 + { 2443538.50, 48.625661 }, //30 January 1978, UT1-UTC= 0.5583390, Accumulated Leap Seconds=17 + { 2443539.50, 48.629065 }, //31 January 1978, UT1-UTC= 0.5549349, Accumulated Leap Seconds=17 + { 2443540.50, 48.632451 }, //01 February 1978, UT1-UTC= 0.5515494, Accumulated Leap Seconds=17 + { 2443541.50, 48.635797 }, //02 February 1978, UT1-UTC= 0.5482029, Accumulated Leap Seconds=17 + { 2443542.50, 48.639105 }, //03 February 1978, UT1-UTC= 0.5448952, Accumulated Leap Seconds=17 + { 2443543.50, 48.642399 }, //04 February 1978, UT1-UTC= 0.5416005, Accumulated Leap Seconds=17 + { 2443544.50, 48.645728 }, //05 February 1978, UT1-UTC= 0.5382717, Accumulated Leap Seconds=17 + { 2443545.50, 48.649144 }, //06 February 1978, UT1-UTC= 0.5348558, Accumulated Leap Seconds=17 + { 2443546.50, 48.652684 }, //07 February 1978, UT1-UTC= 0.5313156, Accumulated Leap Seconds=17 + { 2443547.50, 48.656352 }, //08 February 1978, UT1-UTC= 0.5276480, Accumulated Leap Seconds=17 + { 2443548.50, 48.660112 }, //09 February 1978, UT1-UTC= 0.5238881, Accumulated Leap Seconds=17 + { 2443549.50, 48.663902 }, //10 February 1978, UT1-UTC= 0.5200979, Accumulated Leap Seconds=17 + { 2443550.50, 48.667655 }, //11 February 1978, UT1-UTC= 0.5163453, Accumulated Leap Seconds=17 + { 2443551.50, 48.671316 }, //12 February 1978, UT1-UTC= 0.5126843, Accumulated Leap Seconds=17 + { 2443552.50, 48.674855 }, //13 February 1978, UT1-UTC= 0.5091454, Accumulated Leap Seconds=17 + { 2443553.50, 48.678265 }, //14 February 1978, UT1-UTC= 0.5057354, Accumulated Leap Seconds=17 + { 2443554.50, 48.681557 }, //15 February 1978, UT1-UTC= 0.5024432, Accumulated Leap Seconds=17 + { 2443555.50, 48.684754 }, //16 February 1978, UT1-UTC= 0.4992455, Accumulated Leap Seconds=17 + { 2443556.50, 48.687891 }, //17 February 1978, UT1-UTC= 0.4961093, Accumulated Leap Seconds=17 + { 2443557.50, 48.691005 }, //18 February 1978, UT1-UTC= 0.4929954, Accumulated Leap Seconds=17 + { 2443558.50, 48.694137 }, //19 February 1978, UT1-UTC= 0.4898629, Accumulated Leap Seconds=17 + { 2443559.50, 48.697327 }, //20 February 1978, UT1-UTC= 0.4866734, Accumulated Leap Seconds=17 + { 2443560.50, 48.700604 }, //21 February 1978, UT1-UTC= 0.4833960, Accumulated Leap Seconds=17 + { 2443561.50, 48.703990 }, //22 February 1978, UT1-UTC= 0.4800104, Accumulated Leap Seconds=17 + { 2443562.50, 48.707489 }, //23 February 1978, UT1-UTC= 0.4765106, Accumulated Leap Seconds=17 + { 2443563.50, 48.711093 }, //24 February 1978, UT1-UTC= 0.4729070, Accumulated Leap Seconds=17 + { 2443564.50, 48.714772 }, //25 February 1978, UT1-UTC= 0.4692277, Accumulated Leap Seconds=17 + { 2443565.50, 48.718484 }, //26 February 1978, UT1-UTC= 0.4655161, Accumulated Leap Seconds=17 + { 2443566.50, 48.722179 }, //27 February 1978, UT1-UTC= 0.4618208, Accumulated Leap Seconds=17 + { 2443567.50, 48.725817 }, //28 February 1978, UT1-UTC= 0.4581833, Accumulated Leap Seconds=17 + { 2443568.50, 48.729372 }, //01 March 1978, UT1-UTC= 0.4546282, Accumulated Leap Seconds=17 + { 2443569.50, 48.732844 }, //02 March 1978, UT1-UTC= 0.4511561, Accumulated Leap Seconds=17 + { 2443570.50, 48.736258 }, //03 March 1978, UT1-UTC= 0.4477425, Accumulated Leap Seconds=17 + { 2443571.50, 48.739658 }, //04 March 1978, UT1-UTC= 0.4443420, Accumulated Leap Seconds=17 + { 2443572.50, 48.743101 }, //05 March 1978, UT1-UTC= 0.4408993, Accumulated Leap Seconds=17 + { 2443573.50, 48.746634 }, //06 March 1978, UT1-UTC= 0.4373656, Accumulated Leap Seconds=17 + { 2443574.50, 48.750285 }, //07 March 1978, UT1-UTC= 0.4337146, Accumulated Leap Seconds=17 + { 2443575.50, 48.754044 }, //08 March 1978, UT1-UTC= 0.4299562, Accumulated Leap Seconds=17 + { 2443576.50, 48.757865 }, //09 March 1978, UT1-UTC= 0.4261347, Accumulated Leap Seconds=17 + { 2443577.50, 48.761684 }, //10 March 1978, UT1-UTC= 0.4223156, Accumulated Leap Seconds=17 + { 2443578.50, 48.765436 }, //11 March 1978, UT1-UTC= 0.4185641, Accumulated Leap Seconds=17 + { 2443579.50, 48.769072 }, //12 March 1978, UT1-UTC= 0.4149282, Accumulated Leap Seconds=17 + { 2443580.50, 48.772569 }, //13 March 1978, UT1-UTC= 0.4114311, Accumulated Leap Seconds=17 + { 2443581.50, 48.775927 }, //14 March 1978, UT1-UTC= 0.4080726, Accumulated Leap Seconds=17 + { 2443582.50, 48.779164 }, //15 March 1978, UT1-UTC= 0.4048358, Accumulated Leap Seconds=17 + { 2443583.50, 48.782308 }, //16 March 1978, UT1-UTC= 0.4016919, Accumulated Leap Seconds=17 + { 2443584.50, 48.785395 }, //17 March 1978, UT1-UTC= 0.3986047, Accumulated Leap Seconds=17 + { 2443585.50, 48.788467 }, //18 March 1978, UT1-UTC= 0.3955330, Accumulated Leap Seconds=17 + { 2443586.50, 48.791567 }, //19 March 1978, UT1-UTC= 0.3924333, Accumulated Leap Seconds=17 + { 2443587.50, 48.794733 }, //20 March 1978, UT1-UTC= 0.3892666, Accumulated Leap Seconds=17 + { 2443588.50, 48.797997 }, //21 March 1978, UT1-UTC= 0.3860030, Accumulated Leap Seconds=17 + { 2443589.50, 48.801375 }, //22 March 1978, UT1-UTC= 0.3826246, Accumulated Leap Seconds=17 + { 2443590.50, 48.804872 }, //23 March 1978, UT1-UTC= 0.3791281, Accumulated Leap Seconds=17 + { 2443591.50, 48.808471 }, //24 March 1978, UT1-UTC= 0.3755294, Accumulated Leap Seconds=17 + { 2443592.50, 48.812135 }, //25 March 1978, UT1-UTC= 0.3718651, Accumulated Leap Seconds=17 + { 2443593.50, 48.815813 }, //26 March 1978, UT1-UTC= 0.3681869, Accumulated Leap Seconds=17 + { 2443594.50, 48.819451 }, //27 March 1978, UT1-UTC= 0.3645485, Accumulated Leap Seconds=17 + { 2443595.50, 48.823009 }, //28 March 1978, UT1-UTC= 0.3609908, Accumulated Leap Seconds=17 + { 2443596.50, 48.826472 }, //29 March 1978, UT1-UTC= 0.3575284, Accumulated Leap Seconds=17 + { 2443597.50, 48.829853 }, //30 March 1978, UT1-UTC= 0.3541465, Accumulated Leap Seconds=17 + { 2443598.50, 48.833193 }, //31 March 1978, UT1-UTC= 0.3508067, Accumulated Leap Seconds=17 + { 2443599.50, 48.836541 }, //01 April 1978, UT1-UTC= 0.3474586, Accumulated Leap Seconds=17 + { 2443600.50, 48.839946 }, //02 April 1978, UT1-UTC= 0.3440540, Accumulated Leap Seconds=17 + { 2443601.50, 48.843440 }, //03 April 1978, UT1-UTC= 0.3405596, Accumulated Leap Seconds=17 + { 2443602.50, 48.847031 }, //04 April 1978, UT1-UTC= 0.3369688, Accumulated Leap Seconds=17 + { 2443603.50, 48.850695 }, //05 April 1978, UT1-UTC= 0.3333051, Accumulated Leap Seconds=17 + { 2443604.50, 48.854382 }, //06 April 1978, UT1-UTC= 0.3296181, Accumulated Leap Seconds=17 + { 2443605.50, 48.858031 }, //07 April 1978, UT1-UTC= 0.3259694, Accumulated Leap Seconds=17 + { 2443606.50, 48.861585 }, //08 April 1978, UT1-UTC= 0.3224153, Accumulated Leap Seconds=17 + { 2443607.50, 48.865008 }, //09 April 1978, UT1-UTC= 0.3189922, Accumulated Leap Seconds=17 + { 2443608.50, 48.868288 }, //10 April 1978, UT1-UTC= 0.3157120, Accumulated Leap Seconds=17 + { 2443609.50, 48.871434 }, //11 April 1978, UT1-UTC= 0.3125655, Accumulated Leap Seconds=17 + { 2443610.50, 48.874472 }, //12 April 1978, UT1-UTC= 0.3095284, Accumulated Leap Seconds=17 + { 2443611.50, 48.877433 }, //13 April 1978, UT1-UTC= 0.3065667, Accumulated Leap Seconds=17 + { 2443612.50, 48.880360 }, //14 April 1978, UT1-UTC= 0.3036402, Accumulated Leap Seconds=17 + { 2443613.50, 48.883295 }, //15 April 1978, UT1-UTC= 0.3007051, Accumulated Leap Seconds=17 + { 2443614.50, 48.886280 }, //16 April 1978, UT1-UTC= 0.2977200, Accumulated Leap Seconds=17 + { 2443615.50, 48.889348 }, //17 April 1978, UT1-UTC= 0.2946518, Accumulated Leap Seconds=17 + { 2443616.50, 48.892520 }, //18 April 1978, UT1-UTC= 0.2914803, Accumulated Leap Seconds=17 + { 2443617.50, 48.895802 }, //19 April 1978, UT1-UTC= 0.2881979, Accumulated Leap Seconds=17 + { 2443618.50, 48.899188 }, //20 April 1978, UT1-UTC= 0.2848121, Accumulated Leap Seconds=17 + { 2443619.50, 48.902652 }, //21 April 1978, UT1-UTC= 0.2813478, Accumulated Leap Seconds=17 + { 2443620.50, 48.906151 }, //22 April 1978, UT1-UTC= 0.2778487, Accumulated Leap Seconds=17 + { 2443621.50, 48.909630 }, //23 April 1978, UT1-UTC= 0.2743702, Accumulated Leap Seconds=17 + { 2443622.50, 48.913034 }, //24 April 1978, UT1-UTC= 0.2709660, Accumulated Leap Seconds=17 + { 2443623.50, 48.916332 }, //25 April 1978, UT1-UTC= 0.2676683, Accumulated Leap Seconds=17 + { 2443624.50, 48.919523 }, //26 April 1978, UT1-UTC= 0.2644766, Accumulated Leap Seconds=17 + { 2443625.50, 48.922642 }, //27 April 1978, UT1-UTC= 0.2613583, Accumulated Leap Seconds=17 + { 2443626.50, 48.925738 }, //28 April 1978, UT1-UTC= 0.2582621, Accumulated Leap Seconds=17 + { 2443627.50, 48.928864 }, //29 April 1978, UT1-UTC= 0.2551362, Accumulated Leap Seconds=17 + { 2443628.50, 48.932055 }, //30 April 1978, UT1-UTC= 0.2519451, Accumulated Leap Seconds=17 + { 2443629.50, 48.935323 }, //01 May 1978, UT1-UTC= 0.2486768, Accumulated Leap Seconds=17 + { 2443630.50, 48.938655 }, //02 May 1978, UT1-UTC= 0.2453449, Accumulated Leap Seconds=17 + { 2443631.50, 48.942016 }, //03 May 1978, UT1-UTC= 0.2419836, Accumulated Leap Seconds=17 + { 2443632.50, 48.945361 }, //04 May 1978, UT1-UTC= 0.2386393, Accumulated Leap Seconds=17 + { 2443633.50, 48.948641 }, //05 May 1978, UT1-UTC= 0.2353591, Accumulated Leap Seconds=17 + { 2443634.50, 48.951820 }, //06 May 1978, UT1-UTC= 0.2321799, Accumulated Leap Seconds=17 + { 2443635.50, 48.954880 }, //07 May 1978, UT1-UTC= 0.2291195, Accumulated Leap Seconds=17 + { 2443636.50, 48.957824 }, //08 May 1978, UT1-UTC= 0.2261756, Accumulated Leap Seconds=17 + { 2443637.50, 48.960672 }, //09 May 1978, UT1-UTC= 0.2233282, Accumulated Leap Seconds=17 + { 2443638.50, 48.963454 }, //10 May 1978, UT1-UTC= 0.2205458, Accumulated Leap Seconds=17 + { 2443639.50, 48.966207 }, //11 May 1978, UT1-UTC= 0.2177930, Accumulated Leap Seconds=17 + { 2443640.50, 48.968968 }, //12 May 1978, UT1-UTC= 0.2150318, Accumulated Leap Seconds=17 + { 2443641.50, 48.971775 }, //13 May 1978, UT1-UTC= 0.2122252, Accumulated Leap Seconds=17 + { 2443642.50, 48.974659 }, //14 May 1978, UT1-UTC= 0.2093413, Accumulated Leap Seconds=17 + { 2443643.50, 48.977642 }, //15 May 1978, UT1-UTC= 0.2063578, Accumulated Leap Seconds=17 + { 2443644.50, 48.980736 }, //16 May 1978, UT1-UTC= 0.2032638, Accumulated Leap Seconds=17 + { 2443645.50, 48.983939 }, //17 May 1978, UT1-UTC= 0.2000605, Accumulated Leap Seconds=17 + { 2443646.50, 48.987238 }, //18 May 1978, UT1-UTC= 0.1967624, Accumulated Leap Seconds=17 + { 2443647.50, 48.990601 }, //19 May 1978, UT1-UTC= 0.1933993, Accumulated Leap Seconds=17 + { 2443648.50, 48.993984 }, //20 May 1978, UT1-UTC= 0.1900161, Accumulated Leap Seconds=17 + { 2443649.50, 48.997335 }, //21 May 1978, UT1-UTC= 0.1866651, Accumulated Leap Seconds=17 + { 2443650.50, 49.000609 }, //22 May 1978, UT1-UTC= 0.1833913, Accumulated Leap Seconds=17 + { 2443651.50, 49.003785 }, //23 May 1978, UT1-UTC= 0.1802152, Accumulated Leap Seconds=17 + { 2443652.50, 49.006877 }, //24 May 1978, UT1-UTC= 0.1771234, Accumulated Leap Seconds=17 + { 2443653.50, 49.009926 }, //25 May 1978, UT1-UTC= 0.1740744, Accumulated Leap Seconds=17 + { 2443654.50, 49.012983 }, //26 May 1978, UT1-UTC= 0.1710172, Accumulated Leap Seconds=17 + { 2443655.50, 49.016087 }, //27 May 1978, UT1-UTC= 0.1679135, Accumulated Leap Seconds=17 + { 2443656.50, 49.019247 }, //28 May 1978, UT1-UTC= 0.1647525, Accumulated Leap Seconds=17 + { 2443657.50, 49.022448 }, //29 May 1978, UT1-UTC= 0.1615517, Accumulated Leap Seconds=17 + { 2443658.50, 49.025651 }, //30 May 1978, UT1-UTC= 0.1583492, Accumulated Leap Seconds=17 + { 2443659.50, 49.028809 }, //31 May 1978, UT1-UTC= 0.1551910, Accumulated Leap Seconds=17 + { 2443660.50, 49.031878 }, //01 June 1978, UT1-UTC= 0.1521219, Accumulated Leap Seconds=17 + { 2443661.50, 49.034820 }, //02 June 1978, UT1-UTC= 0.1491796, Accumulated Leap Seconds=17 + { 2443662.50, 49.037612 }, //03 June 1978, UT1-UTC= 0.1463881, Accumulated Leap Seconds=17 + { 2443663.50, 49.040245 }, //04 June 1978, UT1-UTC= 0.1437546, Accumulated Leap Seconds=17 + { 2443664.50, 49.042730 }, //05 June 1978, UT1-UTC= 0.1412696, Accumulated Leap Seconds=17 + { 2443665.50, 49.045089 }, //06 June 1978, UT1-UTC= 0.1389108, Accumulated Leap Seconds=17 + { 2443666.50, 49.047352 }, //07 June 1978, UT1-UTC= 0.1366481, Accumulated Leap Seconds=17 + { 2443667.50, 49.049553 }, //08 June 1978, UT1-UTC= 0.1344472, Accumulated Leap Seconds=17 + { 2443668.50, 49.051730 }, //09 June 1978, UT1-UTC= 0.1322703, Accumulated Leap Seconds=17 + { 2443669.50, 49.053917 }, //10 June 1978, UT1-UTC= 0.1300826, Accumulated Leap Seconds=17 + { 2443670.50, 49.056143 }, //11 June 1978, UT1-UTC= 0.1278566, Accumulated Leap Seconds=17 + { 2443671.50, 49.058425 }, //12 June 1978, UT1-UTC= 0.1255754, Accumulated Leap Seconds=17 + { 2443672.50, 49.060766 }, //13 June 1978, UT1-UTC= 0.1232336, Accumulated Leap Seconds=17 + { 2443673.50, 49.063163 }, //14 June 1978, UT1-UTC= 0.1208370, Accumulated Leap Seconds=17 + { 2443674.50, 49.065597 }, //15 June 1978, UT1-UTC= 0.1184027, Accumulated Leap Seconds=17 + { 2443675.50, 49.068041 }, //16 June 1978, UT1-UTC= 0.1159589, Accumulated Leap Seconds=17 + { 2443676.50, 49.070457 }, //17 June 1978, UT1-UTC= 0.1135425, Accumulated Leap Seconds=17 + { 2443677.50, 49.072809 }, //18 June 1978, UT1-UTC= 0.1111914, Accumulated Leap Seconds=17 + { 2443678.50, 49.075070 }, //19 June 1978, UT1-UTC= 0.1089300, Accumulated Leap Seconds=17 + { 2443679.50, 49.077244 }, //20 June 1978, UT1-UTC= 0.1067559, Accumulated Leap Seconds=17 + { 2443680.50, 49.079365 }, //21 June 1978, UT1-UTC= 0.1046347, Accumulated Leap Seconds=17 + { 2443681.50, 49.081488 }, //22 June 1978, UT1-UTC= 0.1025116, Accumulated Leap Seconds=17 + { 2443682.50, 49.083666 }, //23 June 1978, UT1-UTC= 0.1003337, Accumulated Leap Seconds=17 + { 2443683.50, 49.085926 }, //24 June 1978, UT1-UTC= 0.0980735, Accumulated Leap Seconds=17 + { 2443684.50, 49.088260 }, //25 June 1978, UT1-UTC= 0.0957399, Accumulated Leap Seconds=17 + { 2443685.50, 49.090627 }, //26 June 1978, UT1-UTC= 0.0933732, Accumulated Leap Seconds=17 + { 2443686.50, 49.092971 }, //27 June 1978, UT1-UTC= 0.0910285, Accumulated Leap Seconds=17 + { 2443687.50, 49.095242 }, //28 June 1978, UT1-UTC= 0.0887581, Accumulated Leap Seconds=17 + { 2443688.50, 49.097400 }, //29 June 1978, UT1-UTC= 0.0865997, Accumulated Leap Seconds=17 + { 2443689.50, 49.099427 }, //30 June 1978, UT1-UTC= 0.0845729, Accumulated Leap Seconds=17 + { 2443690.50, 49.101320 }, //01 July 1978, UT1-UTC= 0.0826795, Accumulated Leap Seconds=17 + { 2443691.50, 49.103094 }, //02 July 1978, UT1-UTC= 0.0809063, Accumulated Leap Seconds=17 + { 2443692.50, 49.104772 }, //03 July 1978, UT1-UTC= 0.0792280, Accumulated Leap Seconds=17 + { 2443693.50, 49.106389 }, //04 July 1978, UT1-UTC= 0.0776105, Accumulated Leap Seconds=17 + { 2443694.50, 49.107984 }, //05 July 1978, UT1-UTC= 0.0760160, Accumulated Leap Seconds=17 + { 2443695.50, 49.109593 }, //06 July 1978, UT1-UTC= 0.0744070, Accumulated Leap Seconds=17 + { 2443696.50, 49.111250 }, //07 July 1978, UT1-UTC= 0.0727501, Accumulated Leap Seconds=17 + { 2443697.50, 49.112980 }, //08 July 1978, UT1-UTC= 0.0710202, Accumulated Leap Seconds=17 + { 2443698.50, 49.114798 }, //09 July 1978, UT1-UTC= 0.0692022, Accumulated Leap Seconds=17 + { 2443699.50, 49.116707 }, //10 July 1978, UT1-UTC= 0.0672930, Accumulated Leap Seconds=17 + { 2443700.50, 49.118698 }, //11 July 1978, UT1-UTC= 0.0653022, Accumulated Leap Seconds=17 + { 2443701.50, 49.120750 }, //12 July 1978, UT1-UTC= 0.0632501, Accumulated Leap Seconds=17 + { 2443702.50, 49.122834 }, //13 July 1978, UT1-UTC= 0.0611657, Accumulated Leap Seconds=17 + { 2443703.50, 49.124918 }, //14 July 1978, UT1-UTC= 0.0590820, Accumulated Leap Seconds=17 + { 2443704.50, 49.126967 }, //15 July 1978, UT1-UTC= 0.0570327, Accumulated Leap Seconds=17 + { 2443705.50, 49.128956 }, //16 July 1978, UT1-UTC= 0.0550440, Accumulated Leap Seconds=17 + { 2443706.50, 49.130876 }, //17 July 1978, UT1-UTC= 0.0531236, Accumulated Leap Seconds=17 + { 2443707.50, 49.132748 }, //18 July 1978, UT1-UTC= 0.0512523, Accumulated Leap Seconds=17 + { 2443708.50, 49.134615 }, //19 July 1978, UT1-UTC= 0.0493852, Accumulated Leap Seconds=17 + { 2443709.50, 49.136533 }, //20 July 1978, UT1-UTC= 0.0474668, Accumulated Leap Seconds=17 + { 2443710.50, 49.138545 }, //21 July 1978, UT1-UTC= 0.0454547, Accumulated Leap Seconds=17 + { 2443711.50, 49.140660 }, //22 July 1978, UT1-UTC= 0.0433395, Accumulated Leap Seconds=17 + { 2443712.50, 49.142847 }, //23 July 1978, UT1-UTC= 0.0411526, Accumulated Leap Seconds=17 + { 2443713.50, 49.145046 }, //24 July 1978, UT1-UTC= 0.0389542, Accumulated Leap Seconds=17 + { 2443714.50, 49.147189 }, //25 July 1978, UT1-UTC= 0.0368111, Accumulated Leap Seconds=17 + { 2443715.50, 49.149225 }, //26 July 1978, UT1-UTC= 0.0347747, Accumulated Leap Seconds=17 + { 2443716.50, 49.151128 }, //27 July 1978, UT1-UTC= 0.0328718, Accumulated Leap Seconds=17 + { 2443717.50, 49.152895 }, //28 July 1978, UT1-UTC= 0.0311050, Accumulated Leap Seconds=17 + { 2443718.50, 49.154542 }, //29 July 1978, UT1-UTC= 0.0294582, Accumulated Leap Seconds=17 + { 2443719.50, 49.156097 }, //30 July 1978, UT1-UTC= 0.0279029, Accumulated Leap Seconds=17 + { 2443720.50, 49.157598 }, //31 July 1978, UT1-UTC= 0.0264023, Accumulated Leap Seconds=17 + { 2443721.50, 49.159084 }, //01 August 1978, UT1-UTC= 0.0249156, Accumulated Leap Seconds=17 + { 2443722.50, 49.160598 }, //02 August 1978, UT1-UTC= 0.0234018, Accumulated Leap Seconds=17 + { 2443723.50, 49.162176 }, //03 August 1978, UT1-UTC= 0.0218238, Accumulated Leap Seconds=17 + { 2443724.50, 49.163847 }, //04 August 1978, UT1-UTC= 0.0201525, Accumulated Leap Seconds=17 + { 2443725.50, 49.165632 }, //05 August 1978, UT1-UTC= 0.0183683, Accumulated Leap Seconds=17 + { 2443726.50, 49.167537 }, //06 August 1978, UT1-UTC= 0.0164629, Accumulated Leap Seconds=17 + { 2443727.50, 49.169559 }, //07 August 1978, UT1-UTC= 0.0144413, Accumulated Leap Seconds=17 + { 2443728.50, 49.171679 }, //08 August 1978, UT1-UTC= 0.0123208, Accumulated Leap Seconds=17 + { 2443729.50, 49.173871 }, //09 August 1978, UT1-UTC= 0.0101289, Accumulated Leap Seconds=17 + { 2443730.50, 49.176102 }, //10 August 1978, UT1-UTC= 0.0078977, Accumulated Leap Seconds=17 + { 2443731.50, 49.178342 }, //11 August 1978, UT1-UTC= 0.0056578, Accumulated Leap Seconds=17 + { 2443732.50, 49.180567 }, //12 August 1978, UT1-UTC= 0.0034327, Accumulated Leap Seconds=17 + { 2443733.50, 49.182769 }, //13 August 1978, UT1-UTC= 0.0012305, Accumulated Leap Seconds=17 + { 2443734.50, 49.184962 }, //14 August 1978, UT1-UTC=-0.0009617, Accumulated Leap Seconds=17 + { 2443735.50, 49.187180 }, //15 August 1978, UT1-UTC=-0.0031802, Accumulated Leap Seconds=17 + { 2443736.50, 49.189477 }, //16 August 1978, UT1-UTC=-0.0054772, Accumulated Leap Seconds=17 + { 2443737.50, 49.191904 }, //17 August 1978, UT1-UTC=-0.0079042, Accumulated Leap Seconds=17 + { 2443738.50, 49.194489 }, //18 August 1978, UT1-UTC=-0.0104891, Accumulated Leap Seconds=17 + { 2443739.50, 49.197220 }, //19 August 1978, UT1-UTC=-0.0132203, Accumulated Leap Seconds=17 + { 2443740.50, 49.200046 }, //20 August 1978, UT1-UTC=-0.0160459, Accumulated Leap Seconds=17 + { 2443741.50, 49.202889 }, //21 August 1978, UT1-UTC=-0.0188891, Accumulated Leap Seconds=17 + { 2443742.50, 49.205673 }, //22 August 1978, UT1-UTC=-0.0216734, Accumulated Leap Seconds=17 + { 2443743.50, 49.208343 }, //23 August 1978, UT1-UTC=-0.0243430, Accumulated Leap Seconds=17 + { 2443744.50, 49.210871 }, //24 August 1978, UT1-UTC=-0.0268715, Accumulated Leap Seconds=17 + { 2443745.50, 49.213260 }, //25 August 1978, UT1-UTC=-0.0292597, Accumulated Leap Seconds=17 + { 2443746.50, 49.215528 }, //26 August 1978, UT1-UTC=-0.0315276, Accumulated Leap Seconds=17 + { 2443747.50, 49.217706 }, //27 August 1978, UT1-UTC=-0.0337064, Accumulated Leap Seconds=17 + { 2443748.50, 49.219834 }, //28 August 1978, UT1-UTC=-0.0358339, Accumulated Leap Seconds=17 + { 2443749.50, 49.221949 }, //29 August 1978, UT1-UTC=-0.0379492, Accumulated Leap Seconds=17 + { 2443750.50, 49.224089 }, //30 August 1978, UT1-UTC=-0.0400888, Accumulated Leap Seconds=17 + { 2443751.50, 49.226283 }, //31 August 1978, UT1-UTC=-0.0422832, Accumulated Leap Seconds=17 + { 2443752.50, 49.228553 }, //01 September 1978, UT1-UTC=-0.0445534, Accumulated Leap Seconds=17 + { 2443753.50, 49.230909 }, //02 September 1978, UT1-UTC=-0.0469087, Accumulated Leap Seconds=17 + { 2443754.50, 49.233346 }, //03 September 1978, UT1-UTC=-0.0493461, Accumulated Leap Seconds=17 + { 2443755.50, 49.235851 }, //04 September 1978, UT1-UTC=-0.0518512, Accumulated Leap Seconds=17 + { 2443756.50, 49.238399 }, //05 September 1978, UT1-UTC=-0.0543988, Accumulated Leap Seconds=17 + { 2443757.50, 49.240955 }, //06 September 1978, UT1-UTC=-0.0569553, Accumulated Leap Seconds=17 + { 2443758.50, 49.243486 }, //07 September 1978, UT1-UTC=-0.0594862, Accumulated Leap Seconds=17 + { 2443759.50, 49.245966 }, //08 September 1978, UT1-UTC=-0.0619664, Accumulated Leap Seconds=17 + { 2443760.50, 49.248387 }, //09 September 1978, UT1-UTC=-0.0643867, Accumulated Leap Seconds=17 + { 2443761.50, 49.250759 }, //10 September 1978, UT1-UTC=-0.0667587, Accumulated Leap Seconds=17 + { 2443762.50, 49.253116 }, //11 September 1978, UT1-UTC=-0.0691163, Accumulated Leap Seconds=17 + { 2443763.50, 49.255510 }, //12 September 1978, UT1-UTC=-0.0715105, Accumulated Leap Seconds=17 + { 2443764.50, 49.257997 }, //13 September 1978, UT1-UTC=-0.0739971, Accumulated Leap Seconds=17 + { 2443765.50, 49.260620 }, //14 September 1978, UT1-UTC=-0.0766204, Accumulated Leap Seconds=17 + { 2443766.50, 49.263396 }, //15 September 1978, UT1-UTC=-0.0793961, Accumulated Leap Seconds=17 + { 2443767.50, 49.266301 }, //16 September 1978, UT1-UTC=-0.0823006, Accumulated Leap Seconds=17 + { 2443768.50, 49.269275 }, //17 September 1978, UT1-UTC=-0.0852752, Accumulated Leap Seconds=17 + { 2443769.50, 49.272244 }, //18 September 1978, UT1-UTC=-0.0882444, Accumulated Leap Seconds=17 + { 2443770.50, 49.275140 }, //19 September 1978, UT1-UTC=-0.0911401, Accumulated Leap Seconds=17 + { 2443771.50, 49.277920 }, //20 September 1978, UT1-UTC=-0.0939198, Accumulated Leap Seconds=17 + { 2443772.50, 49.280573 }, //21 September 1978, UT1-UTC=-0.0965733, Accumulated Leap Seconds=17 + { 2443773.50, 49.283117 }, //22 September 1978, UT1-UTC=-0.0991171, Accumulated Leap Seconds=17 + { 2443774.50, 49.285584 }, //23 September 1978, UT1-UTC=-0.1015837, Accumulated Leap Seconds=17 + { 2443775.50, 49.288013 }, //24 September 1978, UT1-UTC=-0.1040132, Accumulated Leap Seconds=17 + { 2443776.50, 49.290449 }, //25 September 1978, UT1-UTC=-0.1064490, Accumulated Leap Seconds=17 + { 2443777.50, 49.292933 }, //26 September 1978, UT1-UTC=-0.1089332, Accumulated Leap Seconds=17 + { 2443778.50, 49.295502 }, //27 September 1978, UT1-UTC=-0.1115022, Accumulated Leap Seconds=17 + { 2443779.50, 49.298182 }, //28 September 1978, UT1-UTC=-0.1141821, Accumulated Leap Seconds=17 + { 2443780.50, 49.300987 }, //29 September 1978, UT1-UTC=-0.1169875, Accumulated Leap Seconds=17 + { 2443781.50, 49.303920 }, //30 September 1978, UT1-UTC=-0.1199202, Accumulated Leap Seconds=17 + { 2443782.50, 49.306968 }, //01 October 1978, UT1-UTC=-0.1229683, Accumulated Leap Seconds=17 + { 2443783.50, 49.310106 }, //02 October 1978, UT1-UTC=-0.1261057, Accumulated Leap Seconds=17 + { 2443784.50, 49.313294 }, //03 October 1978, UT1-UTC=-0.1292935, Accumulated Leap Seconds=17 + { 2443785.50, 49.316486 }, //04 October 1978, UT1-UTC=-0.1324859, Accumulated Leap Seconds=17 + { 2443786.50, 49.319641 }, //05 October 1978, UT1-UTC=-0.1356407, Accumulated Leap Seconds=17 + { 2443787.50, 49.322731 }, //06 October 1978, UT1-UTC=-0.1387315, Accumulated Leap Seconds=17 + { 2443788.50, 49.325757 }, //07 October 1978, UT1-UTC=-0.1417569, Accumulated Leap Seconds=17 + { 2443789.50, 49.328741 }, //08 October 1978, UT1-UTC=-0.1447412, Accumulated Leap Seconds=17 + { 2443790.50, 49.331727 }, //09 October 1978, UT1-UTC=-0.1477273, Accumulated Leap Seconds=17 + { 2443791.50, 49.334766 }, //10 October 1978, UT1-UTC=-0.1507659, Accumulated Leap Seconds=17 + { 2443792.50, 49.337901 }, //11 October 1978, UT1-UTC=-0.1539010, Accumulated Leap Seconds=17 + { 2443793.50, 49.341156 }, //12 October 1978, UT1-UTC=-0.1571565, Accumulated Leap Seconds=17 + { 2443794.50, 49.344525 }, //13 October 1978, UT1-UTC=-0.1605252, Accumulated Leap Seconds=17 + { 2443795.50, 49.347967 }, //14 October 1978, UT1-UTC=-0.1639674, Accumulated Leap Seconds=17 + { 2443796.50, 49.351420 }, //15 October 1978, UT1-UTC=-0.1674204, Accumulated Leap Seconds=17 + { 2443797.50, 49.354814 }, //16 October 1978, UT1-UTC=-0.1708141, Accumulated Leap Seconds=17 + { 2443798.50, 49.358091 }, //17 October 1978, UT1-UTC=-0.1740909, Accumulated Leap Seconds=17 + { 2443799.50, 49.361217 }, //18 October 1978, UT1-UTC=-0.1772174, Accumulated Leap Seconds=17 + { 2443800.50, 49.364189 }, //19 October 1978, UT1-UTC=-0.1801891, Accumulated Leap Seconds=17 + { 2443801.50, 49.367025 }, //20 October 1978, UT1-UTC=-0.1830246, Accumulated Leap Seconds=17 + { 2443802.50, 49.369759 }, //21 October 1978, UT1-UTC=-0.1857591, Accumulated Leap Seconds=17 + { 2443803.50, 49.372434 }, //22 October 1978, UT1-UTC=-0.1884340, Accumulated Leap Seconds=17 + { 2443804.50, 49.375091 }, //23 October 1978, UT1-UTC=-0.1910914, Accumulated Leap Seconds=17 + { 2443805.50, 49.377771 }, //24 October 1978, UT1-UTC=-0.1937706, Accumulated Leap Seconds=17 + { 2443806.50, 49.380505 }, //25 October 1978, UT1-UTC=-0.1965053, Accumulated Leap Seconds=17 + { 2443807.50, 49.383321 }, //26 October 1978, UT1-UTC=-0.1993213, Accumulated Leap Seconds=17 + { 2443808.50, 49.386232 }, //27 October 1978, UT1-UTC=-0.2022321, Accumulated Leap Seconds=17 + { 2443809.50, 49.389239 }, //28 October 1978, UT1-UTC=-0.2052389, Accumulated Leap Seconds=17 + { 2443810.50, 49.392330 }, //29 October 1978, UT1-UTC=-0.2083301, Accumulated Leap Seconds=17 + { 2443811.50, 49.395479 }, //30 October 1978, UT1-UTC=-0.2114792, Accumulated Leap Seconds=17 + { 2443812.50, 49.398648 }, //31 October 1978, UT1-UTC=-0.2146480, Accumulated Leap Seconds=17 + { 2443813.50, 49.401794 }, //01 November 1978, UT1-UTC=-0.2177939, Accumulated Leap Seconds=17 + { 2443814.50, 49.404882 }, //02 November 1978, UT1-UTC=-0.2208821, Accumulated Leap Seconds=17 + { 2443815.50, 49.407898 }, //03 November 1978, UT1-UTC=-0.2238985, Accumulated Leap Seconds=17 + { 2443816.50, 49.410858 }, //04 November 1978, UT1-UTC=-0.2268581, Accumulated Leap Seconds=17 + { 2443817.50, 49.413801 }, //05 November 1978, UT1-UTC=-0.2298014, Accumulated Leap Seconds=17 + { 2443818.50, 49.416781 }, //06 November 1978, UT1-UTC=-0.2327809, Accumulated Leap Seconds=17 + { 2443819.50, 49.419844 }, //07 November 1978, UT1-UTC=-0.2358440, Accumulated Leap Seconds=17 + { 2443820.50, 49.423018 }, //08 November 1978, UT1-UTC=-0.2390181, Accumulated Leap Seconds=17 + { 2443821.50, 49.426304 }, //09 November 1978, UT1-UTC=-0.2423041, Accumulated Leap Seconds=17 + { 2443822.50, 49.429675 }, //10 November 1978, UT1-UTC=-0.2456753, Accumulated Leap Seconds=17 + { 2443823.50, 49.433084 }, //11 November 1978, UT1-UTC=-0.2490841, Accumulated Leap Seconds=17 + { 2443824.50, 49.436473 }, //12 November 1978, UT1-UTC=-0.2524725, Accumulated Leap Seconds=17 + { 2443825.50, 49.439786 }, //13 November 1978, UT1-UTC=-0.2557861, Accumulated Leap Seconds=17 + { 2443826.50, 49.442986 }, //14 November 1978, UT1-UTC=-0.2589864, Accumulated Leap Seconds=17 + { 2443827.50, 49.446058 }, //15 November 1978, UT1-UTC=-0.2620583, Accumulated Leap Seconds=17 + { 2443828.50, 49.449011 }, //16 November 1978, UT1-UTC=-0.2650110, Accumulated Leap Seconds=17 + { 2443829.50, 49.451871 }, //17 November 1978, UT1-UTC=-0.2678712, Accumulated Leap Seconds=17 + { 2443830.50, 49.454675 }, //18 November 1978, UT1-UTC=-0.2706751, Accumulated Leap Seconds=17 + { 2443831.50, 49.457462 }, //19 November 1978, UT1-UTC=-0.2734620, Accumulated Leap Seconds=17 + { 2443832.50, 49.460269 }, //20 November 1978, UT1-UTC=-0.2762690, Accumulated Leap Seconds=17 + { 2443833.50, 49.463128 }, //21 November 1978, UT1-UTC=-0.2791284, Accumulated Leap Seconds=17 + { 2443834.50, 49.466064 }, //22 November 1978, UT1-UTC=-0.2820636, Accumulated Leap Seconds=17 + { 2443835.50, 49.469087 }, //23 November 1978, UT1-UTC=-0.2850868, Accumulated Leap Seconds=17 + { 2443836.50, 49.472198 }, //24 November 1978, UT1-UTC=-0.2881979, Accumulated Leap Seconds=17 + { 2443837.50, 49.475386 }, //25 November 1978, UT1-UTC=-0.2913857, Accumulated Leap Seconds=17 + { 2443838.50, 49.478629 }, //26 November 1978, UT1-UTC=-0.2946290, Accumulated Leap Seconds=17 + { 2443839.50, 49.481897 }, //27 November 1978, UT1-UTC=-0.2978967, Accumulated Leap Seconds=17 + { 2443840.50, 49.485150 }, //28 November 1978, UT1-UTC=-0.3011505, Accumulated Leap Seconds=17 + { 2443841.50, 49.488353 }, //29 November 1978, UT1-UTC=-0.3043527, Accumulated Leap Seconds=17 + { 2443842.50, 49.491478 }, //30 November 1978, UT1-UTC=-0.3074782, Accumulated Leap Seconds=17 + { 2443843.50, 49.494526 }, //01 December 1978, UT1-UTC=-0.3105263, Accumulated Leap Seconds=17 + { 2443844.50, 49.497526 }, //02 December 1978, UT1-UTC=-0.3135263, Accumulated Leap Seconds=17 + { 2443845.50, 49.500529 }, //03 December 1978, UT1-UTC=-0.3165286, Accumulated Leap Seconds=17 + { 2443846.50, 49.503585 }, //04 December 1978, UT1-UTC=-0.3195849, Accumulated Leap Seconds=17 + { 2443847.50, 49.506729 }, //05 December 1978, UT1-UTC=-0.3227288, Accumulated Leap Seconds=17 + { 2443848.50, 49.509963 }, //06 December 1978, UT1-UTC=-0.3259629, Accumulated Leap Seconds=17 + { 2443849.50, 49.513260 }, //07 December 1978, UT1-UTC=-0.3292599, Accumulated Leap Seconds=17 + { 2443850.50, 49.516572 }, //08 December 1978, UT1-UTC=-0.3325722, Accumulated Leap Seconds=17 + { 2443851.50, 49.519846 }, //09 December 1978, UT1-UTC=-0.3358459, Accumulated Leap Seconds=17 + { 2443852.50, 49.523032 }, //10 December 1978, UT1-UTC=-0.3390324, Accumulated Leap Seconds=17 + { 2443853.50, 49.526098 }, //11 December 1978, UT1-UTC=-0.3420976, Accumulated Leap Seconds=17 + { 2443854.50, 49.529027 }, //12 December 1978, UT1-UTC=-0.3450266, Accumulated Leap Seconds=17 + { 2443855.50, 49.531825 }, //13 December 1978, UT1-UTC=-0.3478253, Accumulated Leap Seconds=17 + { 2443856.50, 49.534516 }, //14 December 1978, UT1-UTC=-0.3505161, Accumulated Leap Seconds=17 + { 2443857.50, 49.537132 }, //15 December 1978, UT1-UTC=-0.3531320, Accumulated Leap Seconds=17 + { 2443858.50, 49.539710 }, //16 December 1978, UT1-UTC=-0.3557104, Accumulated Leap Seconds=17 + { 2443859.50, 49.542288 }, //17 December 1978, UT1-UTC=-0.3582879, Accumulated Leap Seconds=17 + { 2443860.50, 49.544897 }, //18 December 1978, UT1-UTC=-0.3608971, Accumulated Leap Seconds=17 + { 2443861.50, 49.547564 }, //19 December 1978, UT1-UTC=-0.3635638, Accumulated Leap Seconds=17 + { 2443862.50, 49.550306 }, //20 December 1978, UT1-UTC=-0.3663063, Accumulated Leap Seconds=17 + { 2443863.50, 49.553132 }, //21 December 1978, UT1-UTC=-0.3691321, Accumulated Leap Seconds=17 + { 2443864.50, 49.556037 }, //22 December 1978, UT1-UTC=-0.3720375, Accumulated Leap Seconds=17 + { 2443865.50, 49.559010 }, //23 December 1978, UT1-UTC=-0.3750097, Accumulated Leap Seconds=17 + { 2443866.50, 49.562029 }, //24 December 1978, UT1-UTC=-0.3780288, Accumulated Leap Seconds=17 + { 2443867.50, 49.565069 }, //25 December 1978, UT1-UTC=-0.3810693, Accumulated Leap Seconds=17 + { 2443868.50, 49.568103 }, //26 December 1978, UT1-UTC=-0.3841026, Accumulated Leap Seconds=17 + { 2443869.50, 49.571105 }, //27 December 1978, UT1-UTC=-0.3871046, Accumulated Leap Seconds=17 + { 2443870.50, 49.574067 }, //28 December 1978, UT1-UTC=-0.3900665, Accumulated Leap Seconds=17 + { 2443871.50, 49.577006 }, //29 December 1978, UT1-UTC=-0.3930058, Accumulated Leap Seconds=17 + { 2443872.50, 49.579966 }, //30 December 1978, UT1-UTC=-0.3959657, Accumulated Leap Seconds=17 + { 2443873.50, 49.583000 }, //31 December 1978, UT1-UTC=-0.3989996, Accumulated Leap Seconds=17 + { 2443874.50, 49.586149 }, //01 January 1979, UT1-UTC= 0.5978505, Accumulated Leap Seconds=18 + { 2443875.50, 49.589426 }, //02 January 1979, UT1-UTC= 0.5945735, Accumulated Leap Seconds=18 + { 2443876.50, 49.592803 }, //03 January 1979, UT1-UTC= 0.5911970, Accumulated Leap Seconds=18 + { 2443877.50, 49.596222 }, //04 January 1979, UT1-UTC= 0.5877782, Accumulated Leap Seconds=18 + { 2443878.50, 49.599615 }, //05 January 1979, UT1-UTC= 0.5843848, Accumulated Leap Seconds=18 + { 2443879.50, 49.602924 }, //06 January 1979, UT1-UTC= 0.5810764, Accumulated Leap Seconds=18 + { 2443880.50, 49.606108 }, //07 January 1979, UT1-UTC= 0.5778920, Accumulated Leap Seconds=18 + { 2443881.50, 49.609152 }, //08 January 1979, UT1-UTC= 0.5748479, Accumulated Leap Seconds=18 + { 2443882.50, 49.612061 }, //09 January 1979, UT1-UTC= 0.5719391, Accumulated Leap Seconds=18 + { 2443883.50, 49.614856 }, //10 January 1979, UT1-UTC= 0.5691435, Accumulated Leap Seconds=18 + { 2443884.50, 49.617572 }, //11 January 1979, UT1-UTC= 0.5664281, Accumulated Leap Seconds=18 + { 2443885.50, 49.620245 }, //12 January 1979, UT1-UTC= 0.5637548, Accumulated Leap Seconds=18 + { 2443886.50, 49.622914 }, //13 January 1979, UT1-UTC= 0.5610860, Accumulated Leap Seconds=18 + { 2443887.50, 49.625611 }, //14 January 1979, UT1-UTC= 0.5583886, Accumulated Leap Seconds=18 + { 2443888.50, 49.628364 }, //15 January 1979, UT1-UTC= 0.5556363, Accumulated Leap Seconds=18 + { 2443889.50, 49.631188 }, //16 January 1979, UT1-UTC= 0.5528117, Accumulated Leap Seconds=18 + { 2443890.50, 49.634092 }, //17 January 1979, UT1-UTC= 0.5499081, Accumulated Leap Seconds=18 + { 2443891.50, 49.637070 }, //18 January 1979, UT1-UTC= 0.5469302, Accumulated Leap Seconds=18 + { 2443892.50, 49.640107 }, //19 January 1979, UT1-UTC= 0.5438931, Accumulated Leap Seconds=18 + { 2443893.50, 49.643181 }, //20 January 1979, UT1-UTC= 0.5408193, Accumulated Leap Seconds=18 + { 2443894.50, 49.646265 }, //21 January 1979, UT1-UTC= 0.5377346, Accumulated Leap Seconds=18 + { 2443895.50, 49.649335 }, //22 January 1979, UT1-UTC= 0.5346649, Accumulated Leap Seconds=18 + { 2443896.50, 49.652367 }, //23 January 1979, UT1-UTC= 0.5316326, Accumulated Leap Seconds=18 + { 2443897.50, 49.655350 }, //24 January 1979, UT1-UTC= 0.5286500, Accumulated Leap Seconds=18 + { 2443898.50, 49.658289 }, //25 January 1979, UT1-UTC= 0.5257105, Accumulated Leap Seconds=18 + { 2443899.50, 49.661217 }, //26 January 1979, UT1-UTC= 0.5227828, Accumulated Leap Seconds=18 + { 2443900.50, 49.664185 }, //27 January 1979, UT1-UTC= 0.5198154, Accumulated Leap Seconds=18 + { 2443901.50, 49.667246 }, //28 January 1979, UT1-UTC= 0.5167535, Accumulated Leap Seconds=18 + { 2443902.50, 49.670436 }, //29 January 1979, UT1-UTC= 0.5135643, Accumulated Leap Seconds=18 + { 2443903.50, 49.673744 }, //30 January 1979, UT1-UTC= 0.5102556, Accumulated Leap Seconds=18 + { 2443904.50, 49.677122 }, //31 January 1979, UT1-UTC= 0.5068781, Accumulated Leap Seconds=18 + { 2443905.50, 49.680491 }, //01 February 1979, UT1-UTC= 0.5035093, Accumulated Leap Seconds=18 + { 2443906.50, 49.683772 }, //02 February 1979, UT1-UTC= 0.5002283, Accumulated Leap Seconds=18 + { 2443907.50, 49.686907 }, //03 February 1979, UT1-UTC= 0.4970926, Accumulated Leap Seconds=18 + { 2443908.50, 49.689872 }, //04 February 1979, UT1-UTC= 0.4941278, Accumulated Leap Seconds=18 + { 2443909.50, 49.692670 }, //05 February 1979, UT1-UTC= 0.4913303, Accumulated Leap Seconds=18 + { 2443910.50, 49.695324 }, //06 February 1979, UT1-UTC= 0.4886756, Accumulated Leap Seconds=18 + { 2443911.50, 49.697873 }, //07 February 1979, UT1-UTC= 0.4861267, Accumulated Leap Seconds=18 + { 2443912.50, 49.700359 }, //08 February 1979, UT1-UTC= 0.4836415, Accumulated Leap Seconds=18 + { 2443913.50, 49.702822 }, //09 February 1979, UT1-UTC= 0.4811778, Accumulated Leap Seconds=18 + { 2443914.50, 49.705302 }, //10 February 1979, UT1-UTC= 0.4786975, Accumulated Leap Seconds=18 + { 2443915.50, 49.707830 }, //11 February 1979, UT1-UTC= 0.4761702, Accumulated Leap Seconds=18 + { 2443916.50, 49.710425 }, //12 February 1979, UT1-UTC= 0.4735748, Accumulated Leap Seconds=18 + { 2443917.50, 49.713099 }, //13 February 1979, UT1-UTC= 0.4709008, Accumulated Leap Seconds=18 + { 2443918.50, 49.715851 }, //14 February 1979, UT1-UTC= 0.4681491, Accumulated Leap Seconds=18 + { 2443919.50, 49.718668 }, //15 February 1979, UT1-UTC= 0.4653319, Accumulated Leap Seconds=18 + { 2443920.50, 49.721529 }, //16 February 1979, UT1-UTC= 0.4624714, Accumulated Leap Seconds=18 + { 2443921.50, 49.724405 }, //17 February 1979, UT1-UTC= 0.4595950, Accumulated Leap Seconds=18 + { 2443922.50, 49.727270 }, //18 February 1979, UT1-UTC= 0.4567298, Accumulated Leap Seconds=18 + { 2443923.50, 49.730103 }, //19 February 1979, UT1-UTC= 0.4538972, Accumulated Leap Seconds=18 + { 2443924.50, 49.732893 }, //20 February 1979, UT1-UTC= 0.4511072, Accumulated Leap Seconds=18 + { 2443925.50, 49.735645 }, //21 February 1979, UT1-UTC= 0.4483545, Accumulated Leap Seconds=18 + { 2443926.50, 49.738386 }, //22 February 1979, UT1-UTC= 0.4456141, Accumulated Leap Seconds=18 + { 2443927.50, 49.741160 }, //23 February 1979, UT1-UTC= 0.4428400, Accumulated Leap Seconds=18 + { 2443928.50, 49.744025 }, //24 February 1979, UT1-UTC= 0.4399747, Accumulated Leap Seconds=18 + { 2443929.50, 49.747032 }, //25 February 1979, UT1-UTC= 0.4369679, Accumulated Leap Seconds=18 + { 2443930.50, 49.750200 }, //26 February 1979, UT1-UTC= 0.4337999, Accumulated Leap Seconds=18 + { 2443931.50, 49.753504 }, //27 February 1979, UT1-UTC= 0.4304964, Accumulated Leap Seconds=18 + { 2443932.50, 49.756875 }, //28 February 1979, UT1-UTC= 0.4271250, Accumulated Leap Seconds=18 + { 2443933.50, 49.760226 }, //01 March 1979, UT1-UTC= 0.4237736, Accumulated Leap Seconds=18 + { 2443934.50, 49.763477 }, //02 March 1979, UT1-UTC= 0.4205228, Accumulated Leap Seconds=18 + { 2443935.50, 49.766576 }, //03 March 1979, UT1-UTC= 0.4174241, Accumulated Leap Seconds=18 + { 2443936.50, 49.769508 }, //04 March 1979, UT1-UTC= 0.4144918, Accumulated Leap Seconds=18 + { 2443937.50, 49.772291 }, //05 March 1979, UT1-UTC= 0.4117092, Accumulated Leap Seconds=18 + { 2443938.50, 49.774960 }, //06 March 1979, UT1-UTC= 0.4090396, Accumulated Leap Seconds=18 + { 2443939.50, 49.777561 }, //07 March 1979, UT1-UTC= 0.4064385, Accumulated Leap Seconds=18 + { 2443940.50, 49.780140 }, //08 March 1979, UT1-UTC= 0.4038600, Accumulated Leap Seconds=18 + { 2443941.50, 49.782739 }, //09 March 1979, UT1-UTC= 0.4012614, Accumulated Leap Seconds=18 + { 2443942.50, 49.785394 }, //10 March 1979, UT1-UTC= 0.3986063, Accumulated Leap Seconds=18 + { 2443943.50, 49.788132 }, //11 March 1979, UT1-UTC= 0.3958675, Accumulated Leap Seconds=18 + { 2443944.50, 49.790971 }, //12 March 1979, UT1-UTC= 0.3930293, Accumulated Leap Seconds=18 + { 2443945.50, 49.793912 }, //13 March 1979, UT1-UTC= 0.3900882, Accumulated Leap Seconds=18 + { 2443946.50, 49.796948 }, //14 March 1979, UT1-UTC= 0.3870522, Accumulated Leap Seconds=18 + { 2443947.50, 49.800059 }, //15 March 1979, UT1-UTC= 0.3839407, Accumulated Leap Seconds=18 + { 2443948.50, 49.803217 }, //16 March 1979, UT1-UTC= 0.3807828, Accumulated Leap Seconds=18 + { 2443949.50, 49.806386 }, //17 March 1979, UT1-UTC= 0.3776143, Accumulated Leap Seconds=18 + { 2443950.50, 49.809532 }, //18 March 1979, UT1-UTC= 0.3744683, Accumulated Leap Seconds=18 + { 2443951.50, 49.812634 }, //19 March 1979, UT1-UTC= 0.3713660, Accumulated Leap Seconds=18 + { 2443952.50, 49.815690 }, //20 March 1979, UT1-UTC= 0.3683102, Accumulated Leap Seconds=18 + { 2443953.50, 49.818717 }, //21 March 1979, UT1-UTC= 0.3652833, Accumulated Leap Seconds=18 + { 2443954.50, 49.821752 }, //22 March 1979, UT1-UTC= 0.3622478, Accumulated Leap Seconds=18 + { 2443955.50, 49.824848 }, //23 March 1979, UT1-UTC= 0.3591522, Accumulated Leap Seconds=18 + { 2443956.50, 49.828057 }, //24 March 1979, UT1-UTC= 0.3559428, Accumulated Leap Seconds=18 + { 2443957.50, 49.831416 }, //25 March 1979, UT1-UTC= 0.3525835, Accumulated Leap Seconds=18 + { 2443958.50, 49.834927 }, //26 March 1979, UT1-UTC= 0.3490732, Accumulated Leap Seconds=18 + { 2443959.50, 49.838545 }, //27 March 1979, UT1-UTC= 0.3454547, Accumulated Leap Seconds=18 + { 2443960.50, 49.842193 }, //28 March 1979, UT1-UTC= 0.3418067, Accumulated Leap Seconds=18 + { 2443961.50, 49.845778 }, //29 March 1979, UT1-UTC= 0.3382216, Accumulated Leap Seconds=18 + { 2443962.50, 49.849226 }, //30 March 1979, UT1-UTC= 0.3347743, Accumulated Leap Seconds=18 + { 2443963.50, 49.852494 }, //31 March 1979, UT1-UTC= 0.3315058, Accumulated Leap Seconds=18 + { 2443964.50, 49.855580 }, //01 April 1979, UT1-UTC= 0.3284195, Accumulated Leap Seconds=18 + { 2443965.50, 49.858511 }, //02 April 1979, UT1-UTC= 0.3254888, Accumulated Leap Seconds=18 + { 2443966.50, 49.861329 }, //03 April 1979, UT1-UTC= 0.3226711, Accumulated Leap Seconds=18 + { 2443967.50, 49.864082 }, //04 April 1979, UT1-UTC= 0.3199182, Accumulated Leap Seconds=18 + { 2443968.50, 49.866817 }, //05 April 1979, UT1-UTC= 0.3171834, Accumulated Leap Seconds=18 + { 2443969.50, 49.869575 }, //06 April 1979, UT1-UTC= 0.3144246, Accumulated Leap Seconds=18 + { 2443970.50, 49.872392 }, //07 April 1979, UT1-UTC= 0.3116080, Accumulated Leap Seconds=18 + { 2443971.50, 49.875288 }, //08 April 1979, UT1-UTC= 0.3087115, Accumulated Leap Seconds=18 + { 2443972.50, 49.878274 }, //09 April 1979, UT1-UTC= 0.3057255, Accumulated Leap Seconds=18 + { 2443973.50, 49.881347 }, //10 April 1979, UT1-UTC= 0.3026528, Accumulated Leap Seconds=18 + { 2443974.50, 49.884493 }, //11 April 1979, UT1-UTC= 0.2995074, Accumulated Leap Seconds=18 + { 2443975.50, 49.887686 }, //12 April 1979, UT1-UTC= 0.2963140, Accumulated Leap Seconds=18 + { 2443976.50, 49.890894 }, //13 April 1979, UT1-UTC= 0.2931056, Accumulated Leap Seconds=18 + { 2443977.50, 49.894084 }, //14 April 1979, UT1-UTC= 0.2899163, Accumulated Leap Seconds=18 + { 2443978.50, 49.897228 }, //15 April 1979, UT1-UTC= 0.2867723, Accumulated Leap Seconds=18 + { 2443979.50, 49.900317 }, //16 April 1979, UT1-UTC= 0.2836831, Accumulated Leap Seconds=18 + { 2443980.50, 49.903364 }, //17 April 1979, UT1-UTC= 0.2806363, Accumulated Leap Seconds=18 + { 2443981.50, 49.906402 }, //18 April 1979, UT1-UTC= 0.2775983, Accumulated Leap Seconds=18 + { 2443982.50, 49.909478 }, //19 April 1979, UT1-UTC= 0.2745222, Accumulated Leap Seconds=18 + { 2443983.50, 49.912642 }, //20 April 1979, UT1-UTC= 0.2713580, Accumulated Leap Seconds=18 + { 2443984.50, 49.915933 }, //21 April 1979, UT1-UTC= 0.2680666, Accumulated Leap Seconds=18 + { 2443985.50, 49.919367 }, //22 April 1979, UT1-UTC= 0.2646328, Accumulated Leap Seconds=18 + { 2443986.50, 49.922924 }, //23 April 1979, UT1-UTC= 0.2610759, Accumulated Leap Seconds=18 + { 2443987.50, 49.926550 }, //24 April 1979, UT1-UTC= 0.2574504, Accumulated Leap Seconds=18 + { 2443988.50, 49.930165 }, //25 April 1979, UT1-UTC= 0.2538348, Accumulated Leap Seconds=18 + { 2443989.50, 49.933689 }, //26 April 1979, UT1-UTC= 0.2503110, Accumulated Leap Seconds=18 + { 2443990.50, 49.937059 }, //27 April 1979, UT1-UTC= 0.2469414, Accumulated Leap Seconds=18 + { 2443991.50, 49.940247 }, //28 April 1979, UT1-UTC= 0.2437528, Accumulated Leap Seconds=18 + { 2443992.50, 49.943263 }, //29 April 1979, UT1-UTC= 0.2407366, Accumulated Leap Seconds=18 + { 2443993.50, 49.946140 }, //30 April 1979, UT1-UTC= 0.2378598, Accumulated Leap Seconds=18 + { 2443994.50, 49.948922 }, //01 May 1979, UT1-UTC= 0.2350776, Accumulated Leap Seconds=18 + { 2443995.50, 49.951656 }, //02 May 1979, UT1-UTC= 0.2323435, Accumulated Leap Seconds=18 + { 2443996.50, 49.954385 }, //03 May 1979, UT1-UTC= 0.2296149, Accumulated Leap Seconds=18 + { 2443997.50, 49.957143 }, //04 May 1979, UT1-UTC= 0.2268568, Accumulated Leap Seconds=18 + { 2443998.50, 49.959956 }, //05 May 1979, UT1-UTC= 0.2240443, Accumulated Leap Seconds=18 + { 2443999.50, 49.962834 }, //06 May 1979, UT1-UTC= 0.2211655, Accumulated Leap Seconds=18 + { 2444000.50, 49.965779 }, //07 May 1979, UT1-UTC= 0.2182209, Accumulated Leap Seconds=18 + { 2444001.50, 49.968778 }, //08 May 1979, UT1-UTC= 0.2152219, Accumulated Leap Seconds=18 + { 2444002.50, 49.971810 }, //09 May 1979, UT1-UTC= 0.2121896, Accumulated Leap Seconds=18 + { 2444003.50, 49.974847 }, //10 May 1979, UT1-UTC= 0.2091528, Accumulated Leap Seconds=18 + { 2444004.50, 49.977856 }, //11 May 1979, UT1-UTC= 0.2061444, Accumulated Leap Seconds=18 + { 2444005.50, 49.980804 }, //12 May 1979, UT1-UTC= 0.2031958, Accumulated Leap Seconds=18 + { 2444006.50, 49.983674 }, //13 May 1979, UT1-UTC= 0.2003263, Accumulated Leap Seconds=18 + { 2444007.50, 49.986467 }, //14 May 1979, UT1-UTC= 0.1975334, Accumulated Leap Seconds=18 + { 2444008.50, 49.989210 }, //15 May 1979, UT1-UTC= 0.1947898, Accumulated Leap Seconds=18 + { 2444009.50, 49.991950 }, //16 May 1979, UT1-UTC= 0.1920500, Accumulated Leap Seconds=18 + { 2444010.50, 49.994738 }, //17 May 1979, UT1-UTC= 0.1892624, Accumulated Leap Seconds=18 + { 2444011.50, 49.997615 }, //18 May 1979, UT1-UTC= 0.1863851, Accumulated Leap Seconds=18 + { 2444012.50, 50.000600 }, //19 May 1979, UT1-UTC= 0.1833995, Accumulated Leap Seconds=18 + { 2444013.50, 50.003684 }, //20 May 1979, UT1-UTC= 0.1803163, Accumulated Leap Seconds=18 + { 2444014.50, 50.006825 }, //21 May 1979, UT1-UTC= 0.1771746, Accumulated Leap Seconds=18 + { 2444015.50, 50.009964 }, //22 May 1979, UT1-UTC= 0.1740361, Accumulated Leap Seconds=18 + { 2444016.50, 50.013029 }, //23 May 1979, UT1-UTC= 0.1709710, Accumulated Leap Seconds=18 + { 2444017.50, 50.015959 }, //24 May 1979, UT1-UTC= 0.1680411, Accumulated Leap Seconds=18 + { 2444018.50, 50.018715 }, //25 May 1979, UT1-UTC= 0.1652848, Accumulated Leap Seconds=18 + { 2444019.50, 50.021290 }, //26 May 1979, UT1-UTC= 0.1627103, Accumulated Leap Seconds=18 + { 2444020.50, 50.023701 }, //27 May 1979, UT1-UTC= 0.1602988, Accumulated Leap Seconds=18 + { 2444021.50, 50.025986 }, //28 May 1979, UT1-UTC= 0.1580143, Accumulated Leap Seconds=18 + { 2444022.50, 50.028186 }, //29 May 1979, UT1-UTC= 0.1558142, Accumulated Leap Seconds=18 + { 2444023.50, 50.030344 }, //30 May 1979, UT1-UTC= 0.1536557, Accumulated Leap Seconds=18 + { 2444024.50, 50.032499 }, //31 May 1979, UT1-UTC= 0.1515013, Accumulated Leap Seconds=18 + { 2444025.50, 50.034678 }, //01 June 1979, UT1-UTC= 0.1493223, Accumulated Leap Seconds=18 + { 2444026.50, 50.036900 }, //02 June 1979, UT1-UTC= 0.1471003, Accumulated Leap Seconds=18 + { 2444027.50, 50.039172 }, //03 June 1979, UT1-UTC= 0.1448280, Accumulated Leap Seconds=18 + { 2444028.50, 50.041490 }, //04 June 1979, UT1-UTC= 0.1425098, Accumulated Leap Seconds=18 + { 2444029.50, 50.043841 }, //05 June 1979, UT1-UTC= 0.1401591, Accumulated Leap Seconds=18 + { 2444030.50, 50.046204 }, //06 June 1979, UT1-UTC= 0.1377958, Accumulated Leap Seconds=18 + { 2444031.50, 50.048556 }, //07 June 1979, UT1-UTC= 0.1354436, Accumulated Leap Seconds=18 + { 2444032.50, 50.050872 }, //08 June 1979, UT1-UTC= 0.1331280, Accumulated Leap Seconds=18 + { 2444033.50, 50.053130 }, //09 June 1979, UT1-UTC= 0.1308701, Accumulated Leap Seconds=18 + { 2444034.50, 50.055323 }, //10 June 1979, UT1-UTC= 0.1286773, Accumulated Leap Seconds=18 + { 2444035.50, 50.057467 }, //11 June 1979, UT1-UTC= 0.1265333, Accumulated Leap Seconds=18 + { 2444036.50, 50.059604 }, //12 June 1979, UT1-UTC= 0.1243962, Accumulated Leap Seconds=18 + { 2444037.50, 50.061789 }, //13 June 1979, UT1-UTC= 0.1222107, Accumulated Leap Seconds=18 + { 2444038.50, 50.064073 }, //14 June 1979, UT1-UTC= 0.1199266, Accumulated Leap Seconds=18 + { 2444039.50, 50.066482 }, //15 June 1979, UT1-UTC= 0.1175181, Accumulated Leap Seconds=18 + { 2444040.50, 50.069007 }, //16 June 1979, UT1-UTC= 0.1149927, Accumulated Leap Seconds=18 + { 2444041.50, 50.071610 }, //17 June 1979, UT1-UTC= 0.1123900, Accumulated Leap Seconds=18 + { 2444042.50, 50.074231 }, //18 June 1979, UT1-UTC= 0.1097687, Accumulated Leap Seconds=18 + { 2444043.50, 50.076808 }, //19 June 1979, UT1-UTC= 0.1071922, Accumulated Leap Seconds=18 + { 2444044.50, 50.079285 }, //20 June 1979, UT1-UTC= 0.1047145, Accumulated Leap Seconds=18 + { 2444045.50, 50.081629 }, //21 June 1979, UT1-UTC= 0.1023711, Accumulated Leap Seconds=18 + { 2444046.50, 50.083828 }, //22 June 1979, UT1-UTC= 0.1001723, Accumulated Leap Seconds=18 + { 2444047.50, 50.085896 }, //23 June 1979, UT1-UTC= 0.0981042, Accumulated Leap Seconds=18 + { 2444048.50, 50.087865 }, //24 June 1979, UT1-UTC= 0.0961347, Accumulated Leap Seconds=18 + { 2444049.50, 50.089777 }, //25 June 1979, UT1-UTC= 0.0942227, Accumulated Leap Seconds=18 + { 2444050.50, 50.091673 }, //26 June 1979, UT1-UTC= 0.0923267, Accumulated Leap Seconds=18 + { 2444051.50, 50.093590 }, //27 June 1979, UT1-UTC= 0.0904105, Accumulated Leap Seconds=18 + { 2444052.50, 50.095554 }, //28 June 1979, UT1-UTC= 0.0884461, Accumulated Leap Seconds=18 + { 2444053.50, 50.097584 }, //29 June 1979, UT1-UTC= 0.0864157, Accumulated Leap Seconds=18 + { 2444054.50, 50.099686 }, //30 June 1979, UT1-UTC= 0.0843137, Accumulated Leap Seconds=18 + { 2444055.50, 50.101853 }, //01 July 1979, UT1-UTC= 0.0821469, Accumulated Leap Seconds=18 + { 2444056.50, 50.104067 }, //02 July 1979, UT1-UTC= 0.0799326, Accumulated Leap Seconds=18 + { 2444057.50, 50.106306 }, //03 July 1979, UT1-UTC= 0.0776942, Accumulated Leap Seconds=18 + { 2444058.50, 50.108542 }, //04 July 1979, UT1-UTC= 0.0754580, Accumulated Leap Seconds=18 + { 2444059.50, 50.110750 }, //05 July 1979, UT1-UTC= 0.0732501, Accumulated Leap Seconds=18 + { 2444060.50, 50.112906 }, //06 July 1979, UT1-UTC= 0.0710943, Accumulated Leap Seconds=18 + { 2444061.50, 50.114995 }, //07 July 1979, UT1-UTC= 0.0690048, Accumulated Leap Seconds=18 + { 2444062.50, 50.117022 }, //08 July 1979, UT1-UTC= 0.0669781, Accumulated Leap Seconds=18 + { 2444063.50, 50.119014 }, //09 July 1979, UT1-UTC= 0.0649857, Accumulated Leap Seconds=18 + { 2444064.50, 50.121022 }, //10 July 1979, UT1-UTC= 0.0629778, Accumulated Leap Seconds=18 + { 2444065.50, 50.123101 }, //11 July 1979, UT1-UTC= 0.0608988, Accumulated Leap Seconds=18 + { 2444066.50, 50.125288 }, //12 July 1979, UT1-UTC= 0.0587116, Accumulated Leap Seconds=18 + { 2444067.50, 50.127585 }, //13 July 1979, UT1-UTC= 0.0564154, Accumulated Leap Seconds=18 + { 2444068.50, 50.129950 }, //14 July 1979, UT1-UTC= 0.0540501, Accumulated Leap Seconds=18 + { 2444069.50, 50.132318 }, //15 July 1979, UT1-UTC= 0.0516816, Accumulated Leap Seconds=18 + { 2444070.50, 50.134617 }, //16 July 1979, UT1-UTC= 0.0493827, Accumulated Leap Seconds=18 + { 2444071.50, 50.136787 }, //17 July 1979, UT1-UTC= 0.0472132, Accumulated Leap Seconds=18 + { 2444072.50, 50.138792 }, //18 July 1979, UT1-UTC= 0.0452079, Accumulated Leap Seconds=18 + { 2444073.50, 50.140626 }, //19 July 1979, UT1-UTC= 0.0433739, Accumulated Leap Seconds=18 + { 2444074.50, 50.142306 }, //20 July 1979, UT1-UTC= 0.0416942, Accumulated Leap Seconds=18 + { 2444075.50, 50.143866 }, //21 July 1979, UT1-UTC= 0.0401338, Accumulated Leap Seconds=18 + { 2444076.50, 50.145352 }, //22 July 1979, UT1-UTC= 0.0386482, Accumulated Leap Seconds=18 + { 2444077.50, 50.146808 }, //23 July 1979, UT1-UTC= 0.0371918, Accumulated Leap Seconds=18 + { 2444078.50, 50.148276 }, //24 July 1979, UT1-UTC= 0.0357240, Accumulated Leap Seconds=18 + { 2444079.50, 50.149787 }, //25 July 1979, UT1-UTC= 0.0342126, Accumulated Leap Seconds=18 + { 2444080.50, 50.151365 }, //26 July 1979, UT1-UTC= 0.0326352, Accumulated Leap Seconds=18 + { 2444081.50, 50.153020 }, //27 July 1979, UT1-UTC= 0.0309802, Accumulated Leap Seconds=18 + { 2444082.50, 50.154753 }, //28 July 1979, UT1-UTC= 0.0292468, Accumulated Leap Seconds=18 + { 2444083.50, 50.156555 }, //29 July 1979, UT1-UTC= 0.0274452, Accumulated Leap Seconds=18 + { 2444084.50, 50.158406 }, //30 July 1979, UT1-UTC= 0.0255938, Accumulated Leap Seconds=18 + { 2444085.50, 50.160286 }, //31 July 1979, UT1-UTC= 0.0237142, Accumulated Leap Seconds=18 + { 2444086.50, 50.162172 }, //01 August 1979, UT1-UTC= 0.0218277, Accumulated Leap Seconds=18 + { 2444087.50, 50.164049 }, //02 August 1979, UT1-UTC= 0.0199512, Accumulated Leap Seconds=18 + { 2444088.50, 50.165906 }, //03 August 1979, UT1-UTC= 0.0180939, Accumulated Leap Seconds=18 + { 2444089.50, 50.167747 }, //04 August 1979, UT1-UTC= 0.0162528, Accumulated Leap Seconds=18 + { 2444090.50, 50.169593 }, //05 August 1979, UT1-UTC= 0.0144074, Accumulated Leap Seconds=18 + { 2444091.50, 50.171486 }, //06 August 1979, UT1-UTC= 0.0125144, Accumulated Leap Seconds=18 + { 2444092.50, 50.173484 }, //07 August 1979, UT1-UTC= 0.0105159, Accumulated Leap Seconds=18 + { 2444093.50, 50.175641 }, //08 August 1979, UT1-UTC= 0.0083593, Accumulated Leap Seconds=18 + { 2444094.50, 50.177980 }, //09 August 1979, UT1-UTC= 0.0060201, Accumulated Leap Seconds=18 + { 2444095.50, 50.180481 }, //10 August 1979, UT1-UTC= 0.0035194, Accumulated Leap Seconds=18 + { 2444096.50, 50.183076 }, //11 August 1979, UT1-UTC= 0.0009244, Accumulated Leap Seconds=18 + { 2444097.50, 50.185672 }, //12 August 1979, UT1-UTC=-0.0016716, Accumulated Leap Seconds=18 + { 2444098.50, 50.188180 }, //13 August 1979, UT1-UTC=-0.0041799, Accumulated Leap Seconds=18 + { 2444099.50, 50.190539 }, //14 August 1979, UT1-UTC=-0.0065394, Accumulated Leap Seconds=18 + { 2444100.50, 50.192726 }, //15 August 1979, UT1-UTC=-0.0087259, Accumulated Leap Seconds=18 + { 2444101.50, 50.194748 }, //16 August 1979, UT1-UTC=-0.0107483, Accumulated Leap Seconds=18 + { 2444102.50, 50.196640 }, //17 August 1979, UT1-UTC=-0.0126402, Accumulated Leap Seconds=18 + { 2444103.50, 50.198447 }, //18 August 1979, UT1-UTC=-0.0144473, Accumulated Leap Seconds=18 + { 2444104.50, 50.200216 }, //19 August 1979, UT1-UTC=-0.0162163, Accumulated Leap Seconds=18 + { 2444105.50, 50.201989 }, //20 August 1979, UT1-UTC=-0.0179894, Accumulated Leap Seconds=18 + { 2444106.50, 50.203799 }, //21 August 1979, UT1-UTC=-0.0197992, Accumulated Leap Seconds=18 + { 2444107.50, 50.205668 }, //22 August 1979, UT1-UTC=-0.0216679, Accumulated Leap Seconds=18 + { 2444108.50, 50.207606 }, //23 August 1979, UT1-UTC=-0.0236058, Accumulated Leap Seconds=18 + { 2444109.50, 50.209612 }, //24 August 1979, UT1-UTC=-0.0256121, Accumulated Leap Seconds=18 + { 2444110.50, 50.211675 }, //25 August 1979, UT1-UTC=-0.0276754, Accumulated Leap Seconds=18 + { 2444111.50, 50.213775 }, //26 August 1979, UT1-UTC=-0.0297751, Accumulated Leap Seconds=18 + { 2444112.50, 50.215885 }, //27 August 1979, UT1-UTC=-0.0318847, Accumulated Leap Seconds=18 + { 2444113.50, 50.217979 }, //28 August 1979, UT1-UTC=-0.0339794, Accumulated Leap Seconds=18 + { 2444114.50, 50.220041 }, //29 August 1979, UT1-UTC=-0.0360406, Accumulated Leap Seconds=18 + { 2444115.50, 50.222059 }, //30 August 1979, UT1-UTC=-0.0380593, Accumulated Leap Seconds=18 + { 2444116.50, 50.224039 }, //31 August 1979, UT1-UTC=-0.0400395, Accumulated Leap Seconds=18 + { 2444117.50, 50.226001 }, //01 September 1979, UT1-UTC=-0.0420014, Accumulated Leap Seconds=18 + { 2444118.50, 50.227984 }, //02 September 1979, UT1-UTC=-0.0439842, Accumulated Leap Seconds=18 + { 2444119.50, 50.230045 }, //03 September 1979, UT1-UTC=-0.0460449, Accumulated Leap Seconds=18 + { 2444120.50, 50.232246 }, //04 September 1979, UT1-UTC=-0.0482458, Accumulated Leap Seconds=18 + { 2444121.50, 50.234635 }, //05 September 1979, UT1-UTC=-0.0506350, Accumulated Leap Seconds=18 + { 2444122.50, 50.237222 }, //06 September 1979, UT1-UTC=-0.0532225, Accumulated Leap Seconds=18 + { 2444123.50, 50.239967 }, //07 September 1979, UT1-UTC=-0.0559672, Accumulated Leap Seconds=18 + { 2444124.50, 50.242785 }, //08 September 1979, UT1-UTC=-0.0587853, Accumulated Leap Seconds=18 + { 2444125.50, 50.245575 }, //09 September 1979, UT1-UTC=-0.0615751, Accumulated Leap Seconds=18 + { 2444126.50, 50.248249 }, //10 September 1979, UT1-UTC=-0.0642492, Accumulated Leap Seconds=18 + { 2444127.50, 50.250758 }, //11 September 1979, UT1-UTC=-0.0667581, Accumulated Leap Seconds=18 + { 2444128.50, 50.253096 }, //12 September 1979, UT1-UTC=-0.0690955, Accumulated Leap Seconds=18 + { 2444129.50, 50.255289 }, //13 September 1979, UT1-UTC=-0.0712894, Accumulated Leap Seconds=18 + { 2444130.50, 50.257387 }, //14 September 1979, UT1-UTC=-0.0733870, Accumulated Leap Seconds=18 + { 2444131.50, 50.259440 }, //15 September 1979, UT1-UTC=-0.0754396, Accumulated Leap Seconds=18 + { 2444132.50, 50.261493 }, //16 September 1979, UT1-UTC=-0.0774934, Accumulated Leap Seconds=18 + { 2444133.50, 50.263585 }, //17 September 1979, UT1-UTC=-0.0795852, Accumulated Leap Seconds=18 + { 2444134.50, 50.265740 }, //18 September 1979, UT1-UTC=-0.0817400, Accumulated Leap Seconds=18 + { 2444135.50, 50.267971 }, //19 September 1979, UT1-UTC=-0.0839707, Accumulated Leap Seconds=18 + { 2444136.50, 50.270280 }, //20 September 1979, UT1-UTC=-0.0862795, Accumulated Leap Seconds=18 + { 2444137.50, 50.272658 }, //21 September 1979, UT1-UTC=-0.0886578, Accumulated Leap Seconds=18 + { 2444138.50, 50.275088 }, //22 September 1979, UT1-UTC=-0.0910883, Accumulated Leap Seconds=18 + { 2444139.50, 50.277547 }, //23 September 1979, UT1-UTC=-0.0935467, Accumulated Leap Seconds=18 + { 2444140.50, 50.280005 }, //24 September 1979, UT1-UTC=-0.0960055, Accumulated Leap Seconds=18 + { 2444141.50, 50.282439 }, //25 September 1979, UT1-UTC=-0.0984395, Accumulated Leap Seconds=18 + { 2444142.50, 50.284834 }, //26 September 1979, UT1-UTC=-0.1008341, Accumulated Leap Seconds=18 + { 2444143.50, 50.287189 }, //27 September 1979, UT1-UTC=-0.1031889, Accumulated Leap Seconds=18 + { 2444144.50, 50.289521 }, //28 September 1979, UT1-UTC=-0.1055210, Accumulated Leap Seconds=18 + { 2444145.50, 50.291864 }, //29 September 1979, UT1-UTC=-0.1078645, Accumulated Leap Seconds=18 + { 2444146.50, 50.294268 }, //30 September 1979, UT1-UTC=-0.1102684, Accumulated Leap Seconds=18 + { 2444147.50, 50.296791 }, //01 October 1979, UT1-UTC=-0.1127905, Accumulated Leap Seconds=18 + { 2444148.50, 50.299485 }, //02 October 1979, UT1-UTC=-0.1154848, Accumulated Leap Seconds=18 + { 2444149.50, 50.302382 }, //03 October 1979, UT1-UTC=-0.1183824, Accumulated Leap Seconds=18 + { 2444150.50, 50.305474 }, //04 October 1979, UT1-UTC=-0.1214737, Accumulated Leap Seconds=18 + { 2444151.50, 50.308702 }, //05 October 1979, UT1-UTC=-0.1247019, Accumulated Leap Seconds=18 + { 2444152.50, 50.311975 }, //06 October 1979, UT1-UTC=-0.1279750, Accumulated Leap Seconds=18 + { 2444153.50, 50.315193 }, //07 October 1979, UT1-UTC=-0.1311935, Accumulated Leap Seconds=18 + { 2444154.50, 50.318280 }, //08 October 1979, UT1-UTC=-0.1342802, Accumulated Leap Seconds=18 + { 2444155.50, 50.321200 }, //09 October 1979, UT1-UTC=-0.1372001, Accumulated Leap Seconds=18 + { 2444156.50, 50.323961 }, //10 October 1979, UT1-UTC=-0.1399606, Accumulated Leap Seconds=18 + { 2444157.50, 50.326599 }, //11 October 1979, UT1-UTC=-0.1425989, Accumulated Leap Seconds=18 + { 2444158.50, 50.329166 }, //12 October 1979, UT1-UTC=-0.1451656, Accumulated Leap Seconds=18 + { 2444159.50, 50.331711 }, //13 October 1979, UT1-UTC=-0.1477108, Accumulated Leap Seconds=18 + { 2444160.50, 50.334277 }, //14 October 1979, UT1-UTC=-0.1502768, Accumulated Leap Seconds=18 + { 2444161.50, 50.336894 }, //15 October 1979, UT1-UTC=-0.1528938, Accumulated Leap Seconds=18 + { 2444162.50, 50.339579 }, //16 October 1979, UT1-UTC=-0.1555792, Accumulated Leap Seconds=18 + { 2444163.50, 50.342336 }, //17 October 1979, UT1-UTC=-0.1583361, Accumulated Leap Seconds=18 + { 2444164.50, 50.345155 }, //18 October 1979, UT1-UTC=-0.1611553, Accumulated Leap Seconds=18 + { 2444165.50, 50.348016 }, //19 October 1979, UT1-UTC=-0.1640163, Accumulated Leap Seconds=18 + { 2444166.50, 50.350891 }, //20 October 1979, UT1-UTC=-0.1668910, Accumulated Leap Seconds=18 + { 2444167.50, 50.353748 }, //21 October 1979, UT1-UTC=-0.1697481, Accumulated Leap Seconds=18 + { 2444168.50, 50.356555 }, //22 October 1979, UT1-UTC=-0.1725555, Accumulated Leap Seconds=18 + { 2444169.50, 50.359286 }, //23 October 1979, UT1-UTC=-0.1752861, Accumulated Leap Seconds=18 + { 2444170.50, 50.361925 }, //24 October 1979, UT1-UTC=-0.1779250, Accumulated Leap Seconds=18 + { 2444171.50, 50.364476 }, //25 October 1979, UT1-UTC=-0.1804765, Accumulated Leap Seconds=18 + { 2444172.50, 50.366966 }, //26 October 1979, UT1-UTC=-0.1829659, Accumulated Leap Seconds=18 + { 2444173.50, 50.369436 }, //27 October 1979, UT1-UTC=-0.1854364, Accumulated Leap Seconds=18 + { 2444174.50, 50.371943 }, //28 October 1979, UT1-UTC=-0.1879431, Accumulated Leap Seconds=18 + { 2444175.50, 50.374540 }, //29 October 1979, UT1-UTC=-0.1905405, Accumulated Leap Seconds=18 + { 2444176.50, 50.377268 }, //30 October 1979, UT1-UTC=-0.1932684, Accumulated Leap Seconds=18 + { 2444177.50, 50.380139 }, //31 October 1979, UT1-UTC=-0.1961386, Accumulated Leap Seconds=18 + { 2444178.50, 50.383125 }, //01 November 1979, UT1-UTC=-0.1991254, Accumulated Leap Seconds=18 + { 2444179.50, 50.386166 }, //02 November 1979, UT1-UTC=-0.2021660, Accumulated Leap Seconds=18 + { 2444180.50, 50.389175 }, //03 November 1979, UT1-UTC=-0.2051749, Accumulated Leap Seconds=18 + { 2444181.50, 50.392069 }, //04 November 1979, UT1-UTC=-0.2080693, Accumulated Leap Seconds=18 + { 2444182.50, 50.394793 }, //05 November 1979, UT1-UTC=-0.2107935, Accumulated Leap Seconds=18 + { 2444183.50, 50.397333 }, //06 November 1979, UT1-UTC=-0.2133327, Accumulated Leap Seconds=18 + { 2444184.50, 50.399710 }, //07 November 1979, UT1-UTC=-0.2157097, Accumulated Leap Seconds=18 + { 2444185.50, 50.401972 }, //08 November 1979, UT1-UTC=-0.2179716, Accumulated Leap Seconds=18 + { 2444186.50, 50.404173 }, //09 November 1979, UT1-UTC=-0.2201728, Accumulated Leap Seconds=18 + { 2444187.50, 50.406363 }, //10 November 1979, UT1-UTC=-0.2223635, Accumulated Leap Seconds=18 + { 2444188.50, 50.408584 }, //11 November 1979, UT1-UTC=-0.2245837, Accumulated Leap Seconds=18 + { 2444189.50, 50.410861 }, //12 November 1979, UT1-UTC=-0.2268610, Accumulated Leap Seconds=18 + { 2444190.50, 50.413210 }, //13 November 1979, UT1-UTC=-0.2292099, Accumulated Leap Seconds=18 + { 2444191.50, 50.415631 }, //14 November 1979, UT1-UTC=-0.2316314, Accumulated Leap Seconds=18 + { 2444192.50, 50.418115 }, //15 November 1979, UT1-UTC=-0.2341150, Accumulated Leap Seconds=18 + { 2444193.50, 50.420642 }, //16 November 1979, UT1-UTC=-0.2366418, Accumulated Leap Seconds=18 + { 2444194.50, 50.423186 }, //17 November 1979, UT1-UTC=-0.2391864, Accumulated Leap Seconds=18 + { 2444195.50, 50.425721 }, //18 November 1979, UT1-UTC=-0.2417206, Accumulated Leap Seconds=18 + { 2444196.50, 50.428217 }, //19 November 1979, UT1-UTC=-0.2442172, Accumulated Leap Seconds=18 + { 2444197.50, 50.430656 }, //20 November 1979, UT1-UTC=-0.2466563, Accumulated Leap Seconds=18 + { 2444198.50, 50.433033 }, //21 November 1979, UT1-UTC=-0.2490333, Accumulated Leap Seconds=18 + { 2444199.50, 50.435366 }, //22 November 1979, UT1-UTC=-0.2513657, Accumulated Leap Seconds=18 + { 2444200.50, 50.437693 }, //23 November 1979, UT1-UTC=-0.2536929, Accumulated Leap Seconds=18 + { 2444201.50, 50.440068 }, //24 November 1979, UT1-UTC=-0.2560683, Accumulated Leap Seconds=18 + { 2444202.50, 50.442546 }, //25 November 1979, UT1-UTC=-0.2585460, Accumulated Leap Seconds=18 + { 2444203.50, 50.445166 }, //26 November 1979, UT1-UTC=-0.2611662, Accumulated Leap Seconds=18 + { 2444204.50, 50.447944 }, //27 November 1979, UT1-UTC=-0.2639437, Accumulated Leap Seconds=18 + { 2444205.50, 50.450861 }, //28 November 1979, UT1-UTC=-0.2668609, Accumulated Leap Seconds=18 + { 2444206.50, 50.453870 }, //29 November 1979, UT1-UTC=-0.2698698, Accumulated Leap Seconds=18 + { 2444207.50, 50.456901 }, //30 November 1979, UT1-UTC=-0.2729006, Accumulated Leap Seconds=18 + { 2444208.50, 50.459877 }, //01 December 1979, UT1-UTC=-0.2758772, Accumulated Leap Seconds=18 + { 2444209.50, 50.462737 }, //02 December 1979, UT1-UTC=-0.2787369, Accumulated Leap Seconds=18 + { 2444210.50, 50.465445 }, //03 December 1979, UT1-UTC=-0.2814455, Accumulated Leap Seconds=18 + { 2444211.50, 50.468004 }, //04 December 1979, UT1-UTC=-0.2840045, Accumulated Leap Seconds=18 + { 2444212.50, 50.470444 }, //05 December 1979, UT1-UTC=-0.2864441, Accumulated Leap Seconds=18 + { 2444213.50, 50.472811 }, //06 December 1979, UT1-UTC=-0.2888107, Accumulated Leap Seconds=18 + { 2444214.50, 50.475152 }, //07 December 1979, UT1-UTC=-0.2911522, Accumulated Leap Seconds=18 + { 2444215.50, 50.477509 }, //08 December 1979, UT1-UTC=-0.2935087, Accumulated Leap Seconds=18 + { 2444216.50, 50.479910 }, //09 December 1979, UT1-UTC=-0.2959096, Accumulated Leap Seconds=18 + { 2444217.50, 50.482372 }, //10 December 1979, UT1-UTC=-0.2983721, Accumulated Leap Seconds=18 + { 2444218.50, 50.484901 }, //11 December 1979, UT1-UTC=-0.3009008, Accumulated Leap Seconds=18 + { 2444219.50, 50.487487 }, //12 December 1979, UT1-UTC=-0.3034874, Accumulated Leap Seconds=18 + { 2444220.50, 50.490114 }, //13 December 1979, UT1-UTC=-0.3061136, Accumulated Leap Seconds=18 + { 2444221.50, 50.492755 }, //14 December 1979, UT1-UTC=-0.3087547, Accumulated Leap Seconds=18 + { 2444222.50, 50.495383 }, //15 December 1979, UT1-UTC=-0.3113834, Accumulated Leap Seconds=18 + { 2444223.50, 50.497973 }, //16 December 1979, UT1-UTC=-0.3139733, Accumulated Leap Seconds=18 + { 2444224.50, 50.500502 }, //17 December 1979, UT1-UTC=-0.3165021, Accumulated Leap Seconds=18 + { 2444225.50, 50.502957 }, //18 December 1979, UT1-UTC=-0.3189573, Accumulated Leap Seconds=18 + { 2444226.50, 50.505343 }, //19 December 1979, UT1-UTC=-0.3213431, Accumulated Leap Seconds=18 + { 2444227.50, 50.507687 }, //20 December 1979, UT1-UTC=-0.3236869, Accumulated Leap Seconds=18 + { 2444228.50, 50.510036 }, //21 December 1979, UT1-UTC=-0.3260360, Accumulated Leap Seconds=18 + { 2444229.50, 50.512446 }, //22 December 1979, UT1-UTC=-0.3284461, Accumulated Leap Seconds=18 + { 2444230.50, 50.514963 }, //23 December 1979, UT1-UTC=-0.3309628, Accumulated Leap Seconds=18 + { 2444231.50, 50.517606 }, //24 December 1979, UT1-UTC=-0.3336061, Accumulated Leap Seconds=18 + { 2444232.50, 50.520362 }, //25 December 1979, UT1-UTC=-0.3363620, Accumulated Leap Seconds=18 + { 2444233.50, 50.523187 }, //26 December 1979, UT1-UTC=-0.3391870, Accumulated Leap Seconds=18 + { 2444234.50, 50.526020 }, //27 December 1979, UT1-UTC=-0.3420202, Accumulated Leap Seconds=18 + { 2444235.50, 50.528799 }, //28 December 1979, UT1-UTC=-0.3447989, Accumulated Leap Seconds=18 + { 2444236.50, 50.531472 }, //29 December 1979, UT1-UTC=-0.3474720, Accumulated Leap Seconds=18 + { 2444237.50, 50.534010 }, //30 December 1979, UT1-UTC=-0.3500104, Accumulated Leap Seconds=18 + { 2444238.50, 50.536413 }, //31 December 1979, UT1-UTC=-0.3524133, Accumulated Leap Seconds=18 + { 2444239.50, 50.538707 }, //01 January 1980, UT1-UTC= 0.6452932, Accumulated Leap Seconds=19 + { 2444240.50, 50.540934 }, //02 January 1980, UT1-UTC= 0.6430658, Accumulated Leap Seconds=19 + { 2444241.50, 50.543143 }, //03 January 1980, UT1-UTC= 0.6408565, Accumulated Leap Seconds=19 + { 2444242.50, 50.545377 }, //04 January 1980, UT1-UTC= 0.6386226, Accumulated Leap Seconds=19 + { 2444243.50, 50.547667 }, //05 January 1980, UT1-UTC= 0.6363331, Accumulated Leap Seconds=19 + { 2444244.50, 50.550031 }, //06 January 1980, UT1-UTC= 0.6339692, Accumulated Leap Seconds=19 + { 2444245.50, 50.552475 }, //07 January 1980, UT1-UTC= 0.6315248, Accumulated Leap Seconds=19 + { 2444246.50, 50.554994 }, //08 January 1980, UT1-UTC= 0.6290058, Accumulated Leap Seconds=19 + { 2444247.50, 50.557571 }, //09 January 1980, UT1-UTC= 0.6264286, Accumulated Leap Seconds=19 + { 2444248.50, 50.560183 }, //10 January 1980, UT1-UTC= 0.6238168, Accumulated Leap Seconds=19 + { 2444249.50, 50.562804 }, //11 January 1980, UT1-UTC= 0.6211960, Accumulated Leap Seconds=19 + { 2444250.50, 50.565411 }, //12 January 1980, UT1-UTC= 0.6185894, Accumulated Leap Seconds=19 + { 2444251.50, 50.567984 }, //13 January 1980, UT1-UTC= 0.6160163, Accumulated Leap Seconds=19 + { 2444252.50, 50.570511 }, //14 January 1980, UT1-UTC= 0.6134892, Accumulated Leap Seconds=19 + { 2444253.50, 50.572992 }, //15 January 1980, UT1-UTC= 0.6110084, Accumulated Leap Seconds=19 + { 2444254.50, 50.575444 }, //16 January 1980, UT1-UTC= 0.6085557, Accumulated Leap Seconds=19 + { 2444255.50, 50.577909 }, //17 January 1980, UT1-UTC= 0.6060913, Accumulated Leap Seconds=19 + { 2444256.50, 50.580440 }, //18 January 1980, UT1-UTC= 0.6035604, Accumulated Leap Seconds=19 + { 2444257.50, 50.583089 }, //19 January 1980, UT1-UTC= 0.6009113, Accumulated Leap Seconds=19 + { 2444258.50, 50.585883 }, //20 January 1980, UT1-UTC= 0.5981171, Accumulated Leap Seconds=19 + { 2444259.50, 50.588808 }, //21 January 1980, UT1-UTC= 0.5951917, Accumulated Leap Seconds=19 + { 2444260.50, 50.591810 }, //22 January 1980, UT1-UTC= 0.5921897, Accumulated Leap Seconds=19 + { 2444261.50, 50.594809 }, //23 January 1980, UT1-UTC= 0.5891907, Accumulated Leap Seconds=19 + { 2444262.50, 50.597724 }, //24 January 1980, UT1-UTC= 0.5862760, Accumulated Leap Seconds=19 + { 2444263.50, 50.600491 }, //25 January 1980, UT1-UTC= 0.5835088, Accumulated Leap Seconds=19 + { 2444264.50, 50.603077 }, //26 January 1980, UT1-UTC= 0.5809226, Accumulated Leap Seconds=19 + { 2444265.50, 50.605481 }, //27 January 1980, UT1-UTC= 0.5785193, Accumulated Leap Seconds=19 + { 2444266.50, 50.607726 }, //28 January 1980, UT1-UTC= 0.5762735, Accumulated Leap Seconds=19 + { 2444267.50, 50.609858 }, //29 January 1980, UT1-UTC= 0.5741419, Accumulated Leap Seconds=19 + { 2444268.50, 50.611926 }, //30 January 1980, UT1-UTC= 0.5720739, Accumulated Leap Seconds=19 + { 2444269.50, 50.613977 }, //31 January 1980, UT1-UTC= 0.5700229, Accumulated Leap Seconds=19 + { 2444270.50, 50.616048 }, //01 February 1980, UT1-UTC= 0.5679516, Accumulated Leap Seconds=19 + { 2444271.50, 50.618163 }, //02 February 1980, UT1-UTC= 0.5658367, Accumulated Leap Seconds=19 + { 2444272.50, 50.620333 }, //03 February 1980, UT1-UTC= 0.5636671, Accumulated Leap Seconds=19 + { 2444273.50, 50.622556 }, //04 February 1980, UT1-UTC= 0.5614440, Accumulated Leap Seconds=19 + { 2444274.50, 50.624822 }, //05 February 1980, UT1-UTC= 0.5591784, Accumulated Leap Seconds=19 + { 2444275.50, 50.627111 }, //06 February 1980, UT1-UTC= 0.5568893, Accumulated Leap Seconds=19 + { 2444276.50, 50.629401 }, //07 February 1980, UT1-UTC= 0.5545991, Accumulated Leap Seconds=19 + { 2444277.50, 50.631671 }, //08 February 1980, UT1-UTC= 0.5523286, Accumulated Leap Seconds=19 + { 2444278.50, 50.633907 }, //09 February 1980, UT1-UTC= 0.5500926, Accumulated Leap Seconds=19 + { 2444279.50, 50.636103 }, //10 February 1980, UT1-UTC= 0.5478967, Accumulated Leap Seconds=19 + { 2444280.50, 50.638265 }, //11 February 1980, UT1-UTC= 0.5457353, Accumulated Leap Seconds=19 + { 2444281.50, 50.640412 }, //12 February 1980, UT1-UTC= 0.5435882, Accumulated Leap Seconds=19 + { 2444282.50, 50.642584 }, //13 February 1980, UT1-UTC= 0.5414157, Accumulated Leap Seconds=19 + { 2444283.50, 50.644842 }, //14 February 1980, UT1-UTC= 0.5391578, Accumulated Leap Seconds=19 + { 2444284.50, 50.647253 }, //15 February 1980, UT1-UTC= 0.5367465, Accumulated Leap Seconds=19 + { 2444285.50, 50.649868 }, //16 February 1980, UT1-UTC= 0.5341320, Accumulated Leap Seconds=19 + { 2444286.50, 50.652696 }, //17 February 1980, UT1-UTC= 0.5313039, Accumulated Leap Seconds=19 + { 2444287.50, 50.655698 }, //18 February 1980, UT1-UTC= 0.5283020, Accumulated Leap Seconds=19 + { 2444288.50, 50.658790 }, //19 February 1980, UT1-UTC= 0.5252095, Accumulated Leap Seconds=19 + { 2444289.50, 50.661871 }, //20 February 1980, UT1-UTC= 0.5221292, Accumulated Leap Seconds=19 + { 2444290.50, 50.664847 }, //21 February 1980, UT1-UTC= 0.5191531, Accumulated Leap Seconds=19 + { 2444291.50, 50.667660 }, //22 February 1980, UT1-UTC= 0.5163397, Accumulated Leap Seconds=19 + { 2444292.50, 50.670294 }, //23 February 1980, UT1-UTC= 0.5137060, Accumulated Leap Seconds=19 + { 2444293.50, 50.672767 }, //24 February 1980, UT1-UTC= 0.5112333, Accumulated Leap Seconds=19 + { 2444294.50, 50.675118 }, //25 February 1980, UT1-UTC= 0.5088817, Accumulated Leap Seconds=19 + { 2444295.50, 50.677398 }, //26 February 1980, UT1-UTC= 0.5066019, Accumulated Leap Seconds=19 + { 2444296.50, 50.679654 }, //27 February 1980, UT1-UTC= 0.5043462, Accumulated Leap Seconds=19 + { 2444297.50, 50.681924 }, //28 February 1980, UT1-UTC= 0.5020762, Accumulated Leap Seconds=19 + { 2444298.50, 50.684233 }, //29 February 1980, UT1-UTC= 0.4997665, Accumulated Leap Seconds=19 + { 2444299.50, 50.686594 }, //01 March 1980, UT1-UTC= 0.4974059, Accumulated Leap Seconds=19 + { 2444300.50, 50.689005 }, //02 March 1980, UT1-UTC= 0.4949949, Accumulated Leap Seconds=19 + { 2444301.50, 50.691456 }, //03 March 1980, UT1-UTC= 0.4925444, Accumulated Leap Seconds=19 + { 2444302.50, 50.693925 }, //04 March 1980, UT1-UTC= 0.4900745, Accumulated Leap Seconds=19 + { 2444303.50, 50.696389 }, //05 March 1980, UT1-UTC= 0.4876114, Accumulated Leap Seconds=19 + { 2444304.50, 50.698817 }, //06 March 1980, UT1-UTC= 0.4851831, Accumulated Leap Seconds=19 + { 2444305.50, 50.701187 }, //07 March 1980, UT1-UTC= 0.4828125, Accumulated Leap Seconds=19 + { 2444306.50, 50.703488 }, //08 March 1980, UT1-UTC= 0.4805115, Accumulated Leap Seconds=19 + { 2444307.50, 50.705722 }, //09 March 1980, UT1-UTC= 0.4782783, Accumulated Leap Seconds=19 + { 2444308.50, 50.707903 }, //10 March 1980, UT1-UTC= 0.4760968, Accumulated Leap Seconds=19 + { 2444309.50, 50.710066 }, //11 March 1980, UT1-UTC= 0.4739335, Accumulated Leap Seconds=19 + { 2444310.50, 50.712264 }, //12 March 1980, UT1-UTC= 0.4717359, Accumulated Leap Seconds=19 + { 2444311.50, 50.714563 }, //13 March 1980, UT1-UTC= 0.4694373, Accumulated Leap Seconds=19 + { 2444312.50, 50.717029 }, //14 March 1980, UT1-UTC= 0.4669708, Accumulated Leap Seconds=19 + { 2444313.50, 50.719708 }, //15 March 1980, UT1-UTC= 0.4642916, Accumulated Leap Seconds=19 + { 2444314.50, 50.722601 }, //16 March 1980, UT1-UTC= 0.4613989, Accumulated Leap Seconds=19 + { 2444315.50, 50.725653 }, //17 March 1980, UT1-UTC= 0.4583468, Accumulated Leap Seconds=19 + { 2444316.50, 50.728769 }, //18 March 1980, UT1-UTC= 0.4552311, Accumulated Leap Seconds=19 + { 2444317.50, 50.731841 }, //19 March 1980, UT1-UTC= 0.4521590, Accumulated Leap Seconds=19 + { 2444318.50, 50.734784 }, //20 March 1980, UT1-UTC= 0.4492160, Accumulated Leap Seconds=19 + { 2444319.50, 50.737556 }, //21 March 1980, UT1-UTC= 0.4464437, Accumulated Leap Seconds=19 + { 2444320.50, 50.740163 }, //22 March 1980, UT1-UTC= 0.4438365, Accumulated Leap Seconds=19 + { 2444321.50, 50.742645 }, //23 March 1980, UT1-UTC= 0.4413547, Accumulated Leap Seconds=19 + { 2444322.50, 50.745057 }, //24 March 1980, UT1-UTC= 0.4389426, Accumulated Leap Seconds=19 + { 2444323.50, 50.747456 }, //25 March 1980, UT1-UTC= 0.4365445, Accumulated Leap Seconds=19 + { 2444324.50, 50.749885 }, //26 March 1980, UT1-UTC= 0.4341151, Accumulated Leap Seconds=19 + { 2444325.50, 50.752376 }, //27 March 1980, UT1-UTC= 0.4316235, Accumulated Leap Seconds=19 + { 2444326.50, 50.754946 }, //28 March 1980, UT1-UTC= 0.4290541, Accumulated Leap Seconds=19 + { 2444327.50, 50.757593 }, //29 March 1980, UT1-UTC= 0.4264066, Accumulated Leap Seconds=19 + { 2444328.50, 50.760307 }, //30 March 1980, UT1-UTC= 0.4236932, Accumulated Leap Seconds=19 + { 2444329.50, 50.763064 }, //31 March 1980, UT1-UTC= 0.4209361, Accumulated Leap Seconds=19 + { 2444330.50, 50.765836 }, //01 April 1980, UT1-UTC= 0.4181638, Accumulated Leap Seconds=19 + { 2444331.50, 50.768592 }, //02 April 1980, UT1-UTC= 0.4154084, Accumulated Leap Seconds=19 + { 2444332.50, 50.771299 }, //03 April 1980, UT1-UTC= 0.4127006, Accumulated Leap Seconds=19 + { 2444333.50, 50.773937 }, //04 April 1980, UT1-UTC= 0.4100631, Accumulated Leap Seconds=19 + { 2444334.50, 50.776494 }, //05 April 1980, UT1-UTC= 0.4075055, Accumulated Leap Seconds=19 + { 2444335.50, 50.778979 }, //06 April 1980, UT1-UTC= 0.4050213, Accumulated Leap Seconds=19 + { 2444336.50, 50.781414 }, //07 April 1980, UT1-UTC= 0.4025860, Accumulated Leap Seconds=19 + { 2444337.50, 50.783841 }, //08 April 1980, UT1-UTC= 0.4001589, Accumulated Leap Seconds=19 + { 2444338.50, 50.786314 }, //09 April 1980, UT1-UTC= 0.3976860, Accumulated Leap Seconds=19 + { 2444339.50, 50.788894 }, //10 April 1980, UT1-UTC= 0.3951058, Accumulated Leap Seconds=19 + { 2444340.50, 50.791636 }, //11 April 1980, UT1-UTC= 0.3923640, Accumulated Leap Seconds=19 + { 2444341.50, 50.794566 }, //12 April 1980, UT1-UTC= 0.3894342, Accumulated Leap Seconds=19 + { 2444342.50, 50.797664 }, //13 April 1980, UT1-UTC= 0.3863356, Accumulated Leap Seconds=19 + { 2444343.50, 50.800863 }, //14 April 1980, UT1-UTC= 0.3831366, Accumulated Leap Seconds=19 + { 2444344.50, 50.804061 }, //15 April 1980, UT1-UTC= 0.3799394, Accumulated Leap Seconds=19 + { 2444345.50, 50.807152 }, //16 April 1980, UT1-UTC= 0.3768477, Accumulated Leap Seconds=19 + { 2444346.50, 50.810066 }, //17 April 1980, UT1-UTC= 0.3739345, Accumulated Leap Seconds=19 + { 2444347.50, 50.812777 }, //18 April 1980, UT1-UTC= 0.3712231, Accumulated Leap Seconds=19 + { 2444348.50, 50.815311 }, //19 April 1980, UT1-UTC= 0.3686894, Accumulated Leap Seconds=19 + { 2444349.50, 50.817721 }, //20 April 1980, UT1-UTC= 0.3662792, Accumulated Leap Seconds=19 + { 2444350.50, 50.820070 }, //21 April 1980, UT1-UTC= 0.3639295, Accumulated Leap Seconds=19 + { 2444351.50, 50.822415 }, //22 April 1980, UT1-UTC= 0.3615854, Accumulated Leap Seconds=19 + { 2444352.50, 50.824794 }, //23 April 1980, UT1-UTC= 0.3592064, Accumulated Leap Seconds=19 + { 2444353.50, 50.827232 }, //24 April 1980, UT1-UTC= 0.3567678, Accumulated Leap Seconds=19 + { 2444354.50, 50.829740 }, //25 April 1980, UT1-UTC= 0.3542602, Accumulated Leap Seconds=19 + { 2444355.50, 50.832312 }, //26 April 1980, UT1-UTC= 0.3516879, Accumulated Leap Seconds=19 + { 2444356.50, 50.834933 }, //27 April 1980, UT1-UTC= 0.3490669, Accumulated Leap Seconds=19 + { 2444357.50, 50.837578 }, //28 April 1980, UT1-UTC= 0.3464219, Accumulated Leap Seconds=19 + { 2444358.50, 50.840218 }, //29 April 1980, UT1-UTC= 0.3437821, Accumulated Leap Seconds=19 + { 2444359.50, 50.842823 }, //30 April 1980, UT1-UTC= 0.3411765, Accumulated Leap Seconds=19 + { 2444360.50, 50.845370 }, //01 May 1980, UT1-UTC= 0.3386302, Accumulated Leap Seconds=19 + { 2444361.50, 50.847841 }, //02 May 1980, UT1-UTC= 0.3361585, Accumulated Leap Seconds=19 + { 2444362.50, 50.850238 }, //03 May 1980, UT1-UTC= 0.3337620, Accumulated Leap Seconds=19 + { 2444363.50, 50.852577 }, //04 May 1980, UT1-UTC= 0.3314229, Accumulated Leap Seconds=19 + { 2444364.50, 50.854894 }, //05 May 1980, UT1-UTC= 0.3291059, Accumulated Leap Seconds=19 + { 2444365.50, 50.857238 }, //06 May 1980, UT1-UTC= 0.3267622, Accumulated Leap Seconds=19 + { 2444366.50, 50.859663 }, //07 May 1980, UT1-UTC= 0.3243374, Accumulated Leap Seconds=19 + { 2444367.50, 50.862218 }, //08 May 1980, UT1-UTC= 0.3217821, Accumulated Leap Seconds=19 + { 2444368.50, 50.864935 }, //09 May 1980, UT1-UTC= 0.3190645, Accumulated Leap Seconds=19 + { 2444369.50, 50.867815 }, //10 May 1980, UT1-UTC= 0.3161854, Accumulated Leap Seconds=19 + { 2444370.50, 50.870813 }, //11 May 1980, UT1-UTC= 0.3131870, Accumulated Leap Seconds=19 + { 2444371.50, 50.873851 }, //12 May 1980, UT1-UTC= 0.3101489, Accumulated Leap Seconds=19 + { 2444372.50, 50.876831 }, //13 May 1980, UT1-UTC= 0.3071692, Accumulated Leap Seconds=19 + { 2444373.50, 50.879664 }, //14 May 1980, UT1-UTC= 0.3043362, Accumulated Leap Seconds=19 + { 2444374.50, 50.882298 }, //15 May 1980, UT1-UTC= 0.3017021, Accumulated Leap Seconds=19 + { 2444375.50, 50.884729 }, //16 May 1980, UT1-UTC= 0.2992708, Accumulated Leap Seconds=19 + { 2444376.50, 50.886995 }, //17 May 1980, UT1-UTC= 0.2970052, Accumulated Leap Seconds=19 + { 2444377.50, 50.889153 }, //18 May 1980, UT1-UTC= 0.2948472, Accumulated Leap Seconds=19 + { 2444378.50, 50.891262 }, //19 May 1980, UT1-UTC= 0.2927380, Accumulated Leap Seconds=19 + { 2444379.50, 50.893369 }, //20 May 1980, UT1-UTC= 0.2906307, Accumulated Leap Seconds=19 + { 2444380.50, 50.895505 }, //21 May 1980, UT1-UTC= 0.2884949, Accumulated Leap Seconds=19 + { 2444381.50, 50.897683 }, //22 May 1980, UT1-UTC= 0.2863167, Accumulated Leap Seconds=19 + { 2444382.50, 50.899904 }, //23 May 1980, UT1-UTC= 0.2840964, Accumulated Leap Seconds=19 + { 2444383.50, 50.902153 }, //24 May 1980, UT1-UTC= 0.2818466, Accumulated Leap Seconds=19 + { 2444384.50, 50.904411 }, //25 May 1980, UT1-UTC= 0.2795889, Accumulated Leap Seconds=19 + { 2444385.50, 50.906650 }, //26 May 1980, UT1-UTC= 0.2773499, Accumulated Leap Seconds=19 + { 2444386.50, 50.908844 }, //27 May 1980, UT1-UTC= 0.2751562, Accumulated Leap Seconds=19 + { 2444387.50, 50.910969 }, //28 May 1980, UT1-UTC= 0.2730310, Accumulated Leap Seconds=19 + { 2444388.50, 50.913010 }, //29 May 1980, UT1-UTC= 0.2709900, Accumulated Leap Seconds=19 + { 2444389.50, 50.914962 }, //30 May 1980, UT1-UTC= 0.2690376, Accumulated Leap Seconds=19 + { 2444390.50, 50.916839 }, //31 May 1980, UT1-UTC= 0.2671610, Accumulated Leap Seconds=19 + { 2444391.50, 50.918672 }, //01 June 1980, UT1-UTC= 0.2653280, Accumulated Leap Seconds=19 + { 2444392.50, 50.920510 }, //02 June 1980, UT1-UTC= 0.2634902, Accumulated Leap Seconds=19 + { 2444393.50, 50.922408 }, //03 June 1980, UT1-UTC= 0.2615918, Accumulated Leap Seconds=19 + { 2444394.50, 50.924417 }, //04 June 1980, UT1-UTC= 0.2595828, Accumulated Leap Seconds=19 + { 2444395.50, 50.926569 }, //05 June 1980, UT1-UTC= 0.2574306, Accumulated Leap Seconds=19 + { 2444396.50, 50.928870 }, //06 June 1980, UT1-UTC= 0.2551297, Accumulated Leap Seconds=19 + { 2444397.50, 50.931294 }, //07 June 1980, UT1-UTC= 0.2527062, Accumulated Leap Seconds=19 + { 2444398.50, 50.933783 }, //08 June 1980, UT1-UTC= 0.2502166, Accumulated Leap Seconds=19 + { 2444399.50, 50.936262 }, //09 June 1980, UT1-UTC= 0.2477381, Accumulated Leap Seconds=19 + { 2444400.50, 50.938650 }, //10 June 1980, UT1-UTC= 0.2453499, Accumulated Leap Seconds=19 + { 2444401.50, 50.940889 }, //11 June 1980, UT1-UTC= 0.2431111, Accumulated Leap Seconds=19 + { 2444402.50, 50.942955 }, //12 June 1980, UT1-UTC= 0.2410453, Accumulated Leap Seconds=19 + { 2444403.50, 50.944864 }, //13 June 1980, UT1-UTC= 0.2391361, Accumulated Leap Seconds=19 + { 2444404.50, 50.946662 }, //14 June 1980, UT1-UTC= 0.2373381, Accumulated Leap Seconds=19 + { 2444405.50, 50.948405 }, //15 June 1980, UT1-UTC= 0.2355946, Accumulated Leap Seconds=19 + { 2444406.50, 50.950145 }, //16 June 1980, UT1-UTC= 0.2338555, Accumulated Leap Seconds=19 + { 2444407.50, 50.951913 }, //17 June 1980, UT1-UTC= 0.2320865, Accumulated Leap Seconds=19 + { 2444408.50, 50.953730 }, //18 June 1980, UT1-UTC= 0.2302704, Accumulated Leap Seconds=19 + { 2444409.50, 50.955595 }, //19 June 1980, UT1-UTC= 0.2284052, Accumulated Leap Seconds=19 + { 2444410.50, 50.957498 }, //20 June 1980, UT1-UTC= 0.2265019, Accumulated Leap Seconds=19 + { 2444411.50, 50.959419 }, //21 June 1980, UT1-UTC= 0.2245812, Accumulated Leap Seconds=19 + { 2444412.50, 50.961329 }, //22 June 1980, UT1-UTC= 0.2226707, Accumulated Leap Seconds=19 + { 2444413.50, 50.963202 }, //23 June 1980, UT1-UTC= 0.2207984, Accumulated Leap Seconds=19 + { 2444414.50, 50.965012 }, //24 June 1980, UT1-UTC= 0.2189880, Accumulated Leap Seconds=19 + { 2444415.50, 50.966743 }, //25 June 1980, UT1-UTC= 0.2172565, Accumulated Leap Seconds=19 + { 2444416.50, 50.968389 }, //26 June 1980, UT1-UTC= 0.2156113, Accumulated Leap Seconds=19 + { 2444417.50, 50.969953 }, //27 June 1980, UT1-UTC= 0.2140471, Accumulated Leap Seconds=19 + { 2444418.50, 50.971459 }, //28 June 1980, UT1-UTC= 0.2125405, Accumulated Leap Seconds=19 + { 2444419.50, 50.972951 }, //29 June 1980, UT1-UTC= 0.2110491, Accumulated Leap Seconds=19 + { 2444420.50, 50.974484 }, //30 June 1980, UT1-UTC= 0.2095162, Accumulated Leap Seconds=19 + { 2444421.50, 50.976115 }, //01 July 1980, UT1-UTC= 0.2078852, Accumulated Leap Seconds=19 + { 2444422.50, 50.977883 }, //02 July 1980, UT1-UTC= 0.2061174, Accumulated Leap Seconds=19 + { 2444423.50, 50.979795 }, //03 July 1980, UT1-UTC= 0.2042045, Accumulated Leap Seconds=19 + { 2444424.50, 50.981827 }, //04 July 1980, UT1-UTC= 0.2021725, Accumulated Leap Seconds=19 + { 2444425.50, 50.983924 }, //05 July 1980, UT1-UTC= 0.2000763, Accumulated Leap Seconds=19 + { 2444426.50, 50.986012 }, //06 July 1980, UT1-UTC= 0.1979878, Accumulated Leap Seconds=19 + { 2444427.50, 50.988022 }, //07 July 1980, UT1-UTC= 0.1959782, Accumulated Leap Seconds=19 + { 2444428.50, 50.989897 }, //08 July 1980, UT1-UTC= 0.1941025, Accumulated Leap Seconds=19 + { 2444429.50, 50.991612 }, //09 July 1980, UT1-UTC= 0.1923876, Accumulated Leap Seconds=19 + { 2444430.50, 50.993173 }, //10 July 1980, UT1-UTC= 0.1908268, Accumulated Leap Seconds=19 + { 2444431.50, 50.994617 }, //11 July 1980, UT1-UTC= 0.1893832, Accumulated Leap Seconds=19 + { 2444432.50, 50.995998 }, //12 July 1980, UT1-UTC= 0.1880024, Accumulated Leap Seconds=19 + { 2444433.50, 50.997370 }, //13 July 1980, UT1-UTC= 0.1866302, Accumulated Leap Seconds=19 + { 2444434.50, 50.998775 }, //14 July 1980, UT1-UTC= 0.1852252, Accumulated Leap Seconds=19 + { 2444435.50, 51.000237 }, //15 July 1980, UT1-UTC= 0.1837628, Accumulated Leap Seconds=19 + { 2444436.50, 51.001766 }, //16 July 1980, UT1-UTC= 0.1822344, Accumulated Leap Seconds=19 + { 2444437.50, 51.003355 }, //17 July 1980, UT1-UTC= 0.1806451, Accumulated Leap Seconds=19 + { 2444438.50, 51.004989 }, //18 July 1980, UT1-UTC= 0.1790106, Accumulated Leap Seconds=19 + { 2444439.50, 51.006645 }, //19 July 1980, UT1-UTC= 0.1773545, Accumulated Leap Seconds=19 + { 2444440.50, 51.008297 }, //20 July 1980, UT1-UTC= 0.1757029, Accumulated Leap Seconds=19 + { 2444441.50, 51.009919 }, //21 July 1980, UT1-UTC= 0.1740805, Accumulated Leap Seconds=19 + { 2444442.50, 51.011493 }, //22 July 1980, UT1-UTC= 0.1725069, Accumulated Leap Seconds=19 + { 2444443.50, 51.013007 }, //23 July 1980, UT1-UTC= 0.1709927, Accumulated Leap Seconds=19 + { 2444444.50, 51.014463 }, //24 July 1980, UT1-UTC= 0.1695374, Accumulated Leap Seconds=19 + { 2444445.50, 51.015874 }, //25 July 1980, UT1-UTC= 0.1681259, Accumulated Leap Seconds=19 + { 2444446.50, 51.017274 }, //26 July 1980, UT1-UTC= 0.1667259, Accumulated Leap Seconds=19 + { 2444447.50, 51.018712 }, //27 July 1980, UT1-UTC= 0.1652882, Accumulated Leap Seconds=19 + { 2444448.50, 51.020244 }, //28 July 1980, UT1-UTC= 0.1637564, Accumulated Leap Seconds=19 + { 2444449.50, 51.021918 }, //29 July 1980, UT1-UTC= 0.1620816, Accumulated Leap Seconds=19 + { 2444450.50, 51.023757 }, //30 July 1980, UT1-UTC= 0.1602432, Accumulated Leap Seconds=19 + { 2444451.50, 51.025738 }, //31 July 1980, UT1-UTC= 0.1582620, Accumulated Leap Seconds=19 + { 2444452.50, 51.027802 }, //01 August 1980, UT1-UTC= 0.1561983, Accumulated Leap Seconds=19 + { 2444453.50, 51.029866 }, //02 August 1980, UT1-UTC= 0.1541336, Accumulated Leap Seconds=19 + { 2444454.50, 51.031852 }, //03 August 1980, UT1-UTC= 0.1521480, Accumulated Leap Seconds=19 + { 2444455.50, 51.033700 }, //04 August 1980, UT1-UTC= 0.1503001, Accumulated Leap Seconds=19 + { 2444456.50, 51.035384 }, //05 August 1980, UT1-UTC= 0.1486155, Accumulated Leap Seconds=19 + { 2444457.50, 51.036915 }, //06 August 1980, UT1-UTC= 0.1470852, Accumulated Leap Seconds=19 + { 2444458.50, 51.038328 }, //07 August 1980, UT1-UTC= 0.1456720, Accumulated Leap Seconds=19 + { 2444459.50, 51.039679 }, //08 August 1980, UT1-UTC= 0.1443215, Accumulated Leap Seconds=19 + { 2444460.50, 51.041023 }, //09 August 1980, UT1-UTC= 0.1429769, Accumulated Leap Seconds=19 + { 2444461.50, 51.042409 }, //10 August 1980, UT1-UTC= 0.1415911, Accumulated Leap Seconds=19 + { 2444462.50, 51.043866 }, //11 August 1980, UT1-UTC= 0.1401338, Accumulated Leap Seconds=19 + { 2444463.50, 51.045407 }, //12 August 1980, UT1-UTC= 0.1385931, Accumulated Leap Seconds=19 + { 2444464.50, 51.047028 }, //13 August 1980, UT1-UTC= 0.1369724, Accumulated Leap Seconds=19 + { 2444465.50, 51.048713 }, //14 August 1980, UT1-UTC= 0.1352866, Accumulated Leap Seconds=19 + { 2444466.50, 51.050441 }, //15 August 1980, UT1-UTC= 0.1335591, Accumulated Leap Seconds=19 + { 2444467.50, 51.052183 }, //16 August 1980, UT1-UTC= 0.1318170, Accumulated Leap Seconds=19 + { 2444468.50, 51.053913 }, //17 August 1980, UT1-UTC= 0.1300871, Accumulated Leap Seconds=19 + { 2444469.50, 51.055610 }, //18 August 1980, UT1-UTC= 0.1283896, Accumulated Leap Seconds=19 + { 2444470.50, 51.057266 }, //19 August 1980, UT1-UTC= 0.1267338, Accumulated Leap Seconds=19 + { 2444471.50, 51.058883 }, //20 August 1980, UT1-UTC= 0.1251170, Accumulated Leap Seconds=19 + { 2444472.50, 51.060476 }, //21 August 1980, UT1-UTC= 0.1235244, Accumulated Leap Seconds=19 + { 2444473.50, 51.062074 }, //22 August 1980, UT1-UTC= 0.1219262, Accumulated Leap Seconds=19 + { 2444474.50, 51.063724 }, //23 August 1980, UT1-UTC= 0.1202764, Accumulated Leap Seconds=19 + { 2444475.50, 51.065485 }, //24 August 1980, UT1-UTC= 0.1185148, Accumulated Leap Seconds=19 + { 2444476.50, 51.067420 }, //25 August 1980, UT1-UTC= 0.1165802, Accumulated Leap Seconds=19 + { 2444477.50, 51.069568 }, //26 August 1980, UT1-UTC= 0.1144316, Accumulated Leap Seconds=19 + { 2444478.50, 51.071930 }, //27 August 1980, UT1-UTC= 0.1120698, Accumulated Leap Seconds=19 + { 2444479.50, 51.074454 }, //28 August 1980, UT1-UTC= 0.1095462, Accumulated Leap Seconds=19 + { 2444480.50, 51.077047 }, //29 August 1980, UT1-UTC= 0.1069525, Accumulated Leap Seconds=19 + { 2444481.50, 51.079607 }, //30 August 1980, UT1-UTC= 0.1043928, Accumulated Leap Seconds=19 + { 2444482.50, 51.082047 }, //31 August 1980, UT1-UTC= 0.1019525, Accumulated Leap Seconds=19 + { 2444483.50, 51.084323 }, //01 September 1980, UT1-UTC= 0.0996770, Accumulated Leap Seconds=19 + { 2444484.50, 51.086434 }, //02 September 1980, UT1-UTC= 0.0975662, Accumulated Leap Seconds=19 + { 2444485.50, 51.088416 }, //03 September 1980, UT1-UTC= 0.0955840, Accumulated Leap Seconds=19 + { 2444486.50, 51.090325 }, //04 September 1980, UT1-UTC= 0.0936746, Accumulated Leap Seconds=19 + { 2444487.50, 51.092222 }, //05 September 1980, UT1-UTC= 0.0917784, Accumulated Leap Seconds=19 + { 2444488.50, 51.094155 }, //06 September 1980, UT1-UTC= 0.0898453, Accumulated Leap Seconds=19 + { 2444489.50, 51.096158 }, //07 September 1980, UT1-UTC= 0.0878418, Accumulated Leap Seconds=19 + { 2444490.50, 51.098247 }, //08 September 1980, UT1-UTC= 0.0857530, Accumulated Leap Seconds=19 + { 2444491.50, 51.100418 }, //09 September 1980, UT1-UTC= 0.0835816, Accumulated Leap Seconds=19 + { 2444492.50, 51.102656 }, //10 September 1980, UT1-UTC= 0.0813438, Accumulated Leap Seconds=19 + { 2444493.50, 51.104935 }, //11 September 1980, UT1-UTC= 0.0790647, Accumulated Leap Seconds=19 + { 2444494.50, 51.107225 }, //12 September 1980, UT1-UTC= 0.0767746, Accumulated Leap Seconds=19 + { 2444495.50, 51.109496 }, //13 September 1980, UT1-UTC= 0.0745041, Accumulated Leap Seconds=19 + { 2444496.50, 51.111720 }, //14 September 1980, UT1-UTC= 0.0722798, Accumulated Leap Seconds=19 + { 2444497.50, 51.113882 }, //15 September 1980, UT1-UTC= 0.0701176, Accumulated Leap Seconds=19 + { 2444498.50, 51.115981 }, //16 September 1980, UT1-UTC= 0.0680194, Accumulated Leap Seconds=19 + { 2444499.50, 51.118027 }, //17 September 1980, UT1-UTC= 0.0659725, Accumulated Leap Seconds=19 + { 2444500.50, 51.120050 }, //18 September 1980, UT1-UTC= 0.0639502, Accumulated Leap Seconds=19 + { 2444501.50, 51.122089 }, //19 September 1980, UT1-UTC= 0.0619105, Accumulated Leap Seconds=19 + { 2444502.50, 51.124203 }, //20 September 1980, UT1-UTC= 0.0597970, Accumulated Leap Seconds=19 + { 2444503.50, 51.126456 }, //21 September 1980, UT1-UTC= 0.0575444, Accumulated Leap Seconds=19 + { 2444504.50, 51.128907 }, //22 September 1980, UT1-UTC= 0.0550927, Accumulated Leap Seconds=19 + { 2444505.50, 51.131590 }, //23 September 1980, UT1-UTC= 0.0524103, Accumulated Leap Seconds=19 + { 2444506.50, 51.134486 }, //24 September 1980, UT1-UTC= 0.0495143, Accumulated Leap Seconds=19 + { 2444507.50, 51.137524 }, //25 September 1980, UT1-UTC= 0.0464761, Accumulated Leap Seconds=19 + { 2444508.50, 51.140597 }, //26 September 1980, UT1-UTC= 0.0434028, Accumulated Leap Seconds=19 + { 2444509.50, 51.143596 }, //27 September 1980, UT1-UTC= 0.0404041, Accumulated Leap Seconds=19 + { 2444510.50, 51.146439 }, //28 September 1980, UT1-UTC= 0.0375614, Accumulated Leap Seconds=19 + { 2444511.50, 51.149078 }, //29 September 1980, UT1-UTC= 0.0349219, Accumulated Leap Seconds=19 + { 2444512.50, 51.151513 }, //30 September 1980, UT1-UTC= 0.0324871, Accumulated Leap Seconds=19 + { 2444513.50, 51.153793 }, //01 October 1980, UT1-UTC= 0.0302072, Accumulated Leap Seconds=19 + { 2444514.50, 51.155990 }, //02 October 1980, UT1-UTC= 0.0280100, Accumulated Leap Seconds=19 + { 2444515.50, 51.158173 }, //03 October 1980, UT1-UTC= 0.0258271, Accumulated Leap Seconds=19 + { 2444516.50, 51.160392 }, //04 October 1980, UT1-UTC= 0.0236077, Accumulated Leap Seconds=19 + { 2444517.50, 51.162676 }, //05 October 1980, UT1-UTC= 0.0213242, Accumulated Leap Seconds=19 + { 2444518.50, 51.165031 }, //06 October 1980, UT1-UTC= 0.0189688, Accumulated Leap Seconds=19 + { 2444519.50, 51.167451 }, //07 October 1980, UT1-UTC= 0.0165489, Accumulated Leap Seconds=19 + { 2444520.50, 51.169916 }, //08 October 1980, UT1-UTC= 0.0140836, Accumulated Leap Seconds=19 + { 2444521.50, 51.172401 }, //09 October 1980, UT1-UTC= 0.0115985, Accumulated Leap Seconds=19 + { 2444522.50, 51.174877 }, //10 October 1980, UT1-UTC= 0.0091226, Accumulated Leap Seconds=19 + { 2444523.50, 51.177317 }, //11 October 1980, UT1-UTC= 0.0066830, Accumulated Leap Seconds=19 + { 2444524.50, 51.179700 }, //12 October 1980, UT1-UTC= 0.0043002, Accumulated Leap Seconds=19 + { 2444525.50, 51.182016 }, //13 October 1980, UT1-UTC= 0.0019836, Accumulated Leap Seconds=19 + { 2444526.50, 51.184273 }, //14 October 1980, UT1-UTC=-0.0002728, Accumulated Leap Seconds=19 + { 2444527.50, 51.186490 }, //15 October 1980, UT1-UTC=-0.0024905, Accumulated Leap Seconds=19 + { 2444528.50, 51.188704 }, //16 October 1980, UT1-UTC=-0.0047041, Accumulated Leap Seconds=19 + { 2444529.50, 51.190960 }, //17 October 1980, UT1-UTC=-0.0069601, Accumulated Leap Seconds=19 + { 2444530.50, 51.193313 }, //18 October 1980, UT1-UTC=-0.0093133, Accumulated Leap Seconds=19 + { 2444531.50, 51.195818 }, //19 October 1980, UT1-UTC=-0.0118184, Accumulated Leap Seconds=19 + { 2444532.50, 51.198527 }, //20 October 1980, UT1-UTC=-0.0145267, Accumulated Leap Seconds=19 + { 2444533.50, 51.201457 }, //21 October 1980, UT1-UTC=-0.0174568, Accumulated Leap Seconds=19 + { 2444534.50, 51.204579 }, //22 October 1980, UT1-UTC=-0.0205794, Accumulated Leap Seconds=19 + { 2444535.50, 51.207807 }, //23 October 1980, UT1-UTC=-0.0238069, Accumulated Leap Seconds=19 + { 2444536.50, 51.211017 }, //24 October 1980, UT1-UTC=-0.0270174, Accumulated Leap Seconds=19 + { 2444537.50, 51.214101 }, //25 October 1980, UT1-UTC=-0.0301012, Accumulated Leap Seconds=19 + { 2444538.50, 51.216991 }, //26 October 1980, UT1-UTC=-0.0329912, Accumulated Leap Seconds=19 + { 2444539.50, 51.219677 }, //27 October 1980, UT1-UTC=-0.0356769, Accumulated Leap Seconds=19 + { 2444540.50, 51.222198 }, //28 October 1980, UT1-UTC=-0.0381975, Accumulated Leap Seconds=19 + { 2444541.50, 51.224618 }, //29 October 1980, UT1-UTC=-0.0406183, Accumulated Leap Seconds=19 + { 2444542.50, 51.227006 }, //30 October 1980, UT1-UTC=-0.0430060, Accumulated Leap Seconds=19 + { 2444543.50, 51.229412 }, //31 October 1980, UT1-UTC=-0.0454116, Accumulated Leap Seconds=19 + { 2444544.50, 51.231865 }, //01 November 1980, UT1-UTC=-0.0478645, Accumulated Leap Seconds=19 + { 2444545.50, 51.234374 }, //02 November 1980, UT1-UTC=-0.0503741, Accumulated Leap Seconds=19 + { 2444546.50, 51.236933 }, //03 November 1980, UT1-UTC=-0.0529330, Accumulated Leap Seconds=19 + { 2444547.50, 51.239522 }, //04 November 1980, UT1-UTC=-0.0555216, Accumulated Leap Seconds=19 + { 2444548.50, 51.242113 }, //05 November 1980, UT1-UTC=-0.0581126, Accumulated Leap Seconds=19 + { 2444549.50, 51.244675 }, //06 November 1980, UT1-UTC=-0.0606753, Accumulated Leap Seconds=19 + { 2444550.50, 51.247180 }, //07 November 1980, UT1-UTC=-0.0631800, Accumulated Leap Seconds=19 + { 2444551.50, 51.249603 }, //08 November 1980, UT1-UTC=-0.0656032, Accumulated Leap Seconds=19 + { 2444552.50, 51.251932 }, //09 November 1980, UT1-UTC=-0.0679318, Accumulated Leap Seconds=19 + { 2444553.50, 51.254166 }, //10 November 1980, UT1-UTC=-0.0701665, Accumulated Leap Seconds=19 + { 2444554.50, 51.256324 }, //11 November 1980, UT1-UTC=-0.0723244, Accumulated Leap Seconds=19 + { 2444555.50, 51.258439 }, //12 November 1980, UT1-UTC=-0.0744394, Accumulated Leap Seconds=19 + { 2444556.50, 51.260559 }, //13 November 1980, UT1-UTC=-0.0765590, Accumulated Leap Seconds=19 + { 2444557.50, 51.262738 }, //14 November 1980, UT1-UTC=-0.0787384, Accumulated Leap Seconds=19 + { 2444558.50, 51.265034 }, //15 November 1980, UT1-UTC=-0.0810339, Accumulated Leap Seconds=19 + { 2444559.50, 51.267493 }, //16 November 1980, UT1-UTC=-0.0834934, Accumulated Leap Seconds=19 + { 2444560.50, 51.270144 }, //17 November 1980, UT1-UTC=-0.0861438, Accumulated Leap Seconds=19 + { 2444561.50, 51.272977 }, //18 November 1980, UT1-UTC=-0.0889769, Accumulated Leap Seconds=19 + { 2444562.50, 51.275941 }, //19 November 1980, UT1-UTC=-0.0919406, Accumulated Leap Seconds=19 + { 2444563.50, 51.278947 }, //20 November 1980, UT1-UTC=-0.0949470, Accumulated Leap Seconds=19 + { 2444564.50, 51.281893 }, //21 November 1980, UT1-UTC=-0.0978933, Accumulated Leap Seconds=19 + { 2444565.50, 51.284695 }, //22 November 1980, UT1-UTC=-0.1006952, Accumulated Leap Seconds=19 + { 2444566.50, 51.287313 }, //23 November 1980, UT1-UTC=-0.1033130, Accumulated Leap Seconds=19 + { 2444567.50, 51.289759 }, //24 November 1980, UT1-UTC=-0.1057592, Accumulated Leap Seconds=19 + { 2444568.50, 51.292086 }, //25 November 1980, UT1-UTC=-0.1080864, Accumulated Leap Seconds=19 + { 2444569.50, 51.294362 }, //26 November 1980, UT1-UTC=-0.1103624, Accumulated Leap Seconds=19 + { 2444570.50, 51.296646 }, //27 November 1980, UT1-UTC=-0.1126465, Accumulated Leap Seconds=19 + { 2444571.50, 51.298977 }, //28 November 1980, UT1-UTC=-0.1149769, Accumulated Leap Seconds=19 + { 2444572.50, 51.301369 }, //29 November 1980, UT1-UTC=-0.1173687, Accumulated Leap Seconds=19 + { 2444573.50, 51.303818 }, //30 November 1980, UT1-UTC=-0.1198180, Accumulated Leap Seconds=19 + { 2444574.50, 51.306308 }, //01 December 1980, UT1-UTC=-0.1223080, Accumulated Leap Seconds=19 + { 2444575.50, 51.308813 }, //02 December 1980, UT1-UTC=-0.1248129, Accumulated Leap Seconds=19 + { 2444576.50, 51.311303 }, //03 December 1980, UT1-UTC=-0.1273031, Accumulated Leap Seconds=19 + { 2444577.50, 51.313750 }, //04 December 1980, UT1-UTC=-0.1297503, Accumulated Leap Seconds=19 + { 2444578.50, 51.316131 }, //05 December 1980, UT1-UTC=-0.1321314, Accumulated Leap Seconds=19 + { 2444579.50, 51.318431 }, //06 December 1980, UT1-UTC=-0.1344309, Accumulated Leap Seconds=19 + { 2444580.50, 51.320645 }, //07 December 1980, UT1-UTC=-0.1366445, Accumulated Leap Seconds=19 + { 2444581.50, 51.322782 }, //08 December 1980, UT1-UTC=-0.1387825, Accumulated Leap Seconds=19 + { 2444582.50, 51.324871 }, //09 December 1980, UT1-UTC=-0.1408711, Accumulated Leap Seconds=19 + { 2444583.50, 51.326951 }, //10 December 1980, UT1-UTC=-0.1429511, Accumulated Leap Seconds=19 + { 2444584.50, 51.329074 }, //11 December 1980, UT1-UTC=-0.1450737, Accumulated Leap Seconds=19 + { 2444585.50, 51.331292 }, //12 December 1980, UT1-UTC=-0.1472916, Accumulated Leap Seconds=19 + { 2444586.50, 51.333648 }, //13 December 1980, UT1-UTC=-0.1496479, Accumulated Leap Seconds=19 + { 2444587.50, 51.336167 }, //14 December 1980, UT1-UTC=-0.1521666, Accumulated Leap Seconds=19 + { 2444588.50, 51.338844 }, //15 December 1980, UT1-UTC=-0.1548444, Accumulated Leap Seconds=19 + { 2444589.50, 51.341646 }, //16 December 1980, UT1-UTC=-0.1576463, Accumulated Leap Seconds=19 + { 2444590.50, 51.344507 }, //17 December 1980, UT1-UTC=-0.1605071, Accumulated Leap Seconds=19 + { 2444591.50, 51.347344 }, //18 December 1980, UT1-UTC=-0.1633439, Accumulated Leap Seconds=19 + { 2444592.50, 51.350077 }, //19 December 1980, UT1-UTC=-0.1660767, Accumulated Leap Seconds=19 + { 2444593.50, 51.352653 }, //20 December 1980, UT1-UTC=-0.1686533, Accumulated Leap Seconds=19 + { 2444594.50, 51.355064 }, //21 December 1980, UT1-UTC=-0.1710645, Accumulated Leap Seconds=19 + { 2444595.50, 51.357344 }, //22 December 1980, UT1-UTC=-0.1733442, Accumulated Leap Seconds=19 + { 2444596.50, 51.359553 }, //23 December 1980, UT1-UTC=-0.1755530, Accumulated Leap Seconds=19 + { 2444597.50, 51.361755 }, //24 December 1980, UT1-UTC=-0.1777547, Accumulated Leap Seconds=19 + { 2444598.50, 51.363997 }, //25 December 1980, UT1-UTC=-0.1799971, Accumulated Leap Seconds=19 + { 2444599.50, 51.366304 }, //26 December 1980, UT1-UTC=-0.1823038, Accumulated Leap Seconds=19 + { 2444600.50, 51.368676 }, //27 December 1980, UT1-UTC=-0.1846761, Accumulated Leap Seconds=19 + { 2444601.50, 51.371100 }, //28 December 1980, UT1-UTC=-0.1870997, Accumulated Leap Seconds=19 + { 2444602.50, 51.373551 }, //29 December 1980, UT1-UTC=-0.1895509, Accumulated Leap Seconds=19 + { 2444603.50, 51.376001 }, //30 December 1980, UT1-UTC=-0.1920009, Accumulated Leap Seconds=19 + { 2444604.50, 51.378421 }, //31 December 1980, UT1-UTC=-0.1944207, Accumulated Leap Seconds=19 + { 2444605.50, 51.380785 }, //01 January 1981, UT1-UTC=-0.1967849, Accumulated Leap Seconds=19 + { 2444606.50, 51.383077 }, //02 January 1981, UT1-UTC=-0.1990768, Accumulated Leap Seconds=19 + { 2444607.50, 51.385290 }, //03 January 1981, UT1-UTC=-0.2012902, Accumulated Leap Seconds=19 + { 2444608.50, 51.387432 }, //04 January 1981, UT1-UTC=-0.2034317, Accumulated Leap Seconds=19 + { 2444609.50, 51.389522 }, //05 January 1981, UT1-UTC=-0.2055222, Accumulated Leap Seconds=19 + { 2444610.50, 51.391598 }, //06 January 1981, UT1-UTC=-0.2075984, Accumulated Leap Seconds=19 + { 2444611.50, 51.393711 }, //07 January 1981, UT1-UTC=-0.2097110, Accumulated Leap Seconds=19 + { 2444612.50, 51.395916 }, //08 January 1981, UT1-UTC=-0.2119158, Accumulated Leap Seconds=19 + { 2444613.50, 51.398261 }, //09 January 1981, UT1-UTC=-0.2142612, Accumulated Leap Seconds=19 + { 2444614.50, 51.400773 }, //10 January 1981, UT1-UTC=-0.2167729, Accumulated Leap Seconds=19 + { 2444615.50, 51.403445 }, //11 January 1981, UT1-UTC=-0.2194455, Accumulated Leap Seconds=19 + { 2444616.50, 51.406240 }, //12 January 1981, UT1-UTC=-0.2222400, Accumulated Leap Seconds=19 + { 2444617.50, 51.409092 }, //13 January 1981, UT1-UTC=-0.2250916, Accumulated Leap Seconds=19 + { 2444618.50, 51.411924 }, //14 January 1981, UT1-UTC=-0.2279239, Accumulated Leap Seconds=19 + { 2444619.50, 51.414665 }, //15 January 1981, UT1-UTC=-0.2306646, Accumulated Leap Seconds=19 + { 2444620.50, 51.417262 }, //16 January 1981, UT1-UTC=-0.2332625, Accumulated Leap Seconds=19 + { 2444621.50, 51.419700 }, //17 January 1981, UT1-UTC=-0.2356997, Accumulated Leap Seconds=19 + { 2444622.50, 51.421996 }, //18 January 1981, UT1-UTC=-0.2379958, Accumulated Leap Seconds=19 + { 2444623.50, 51.424200 }, //19 January 1981, UT1-UTC=-0.2401999, Accumulated Leap Seconds=19 + { 2444624.50, 51.426372 }, //20 January 1981, UT1-UTC=-0.2423722, Accumulated Leap Seconds=19 + { 2444625.50, 51.428564 }, //21 January 1981, UT1-UTC=-0.2445643, Accumulated Leap Seconds=19 + { 2444626.50, 51.430806 }, //22 January 1981, UT1-UTC=-0.2468059, Accumulated Leap Seconds=19 + { 2444627.50, 51.433102 }, //23 January 1981, UT1-UTC=-0.2491021, Accumulated Leap Seconds=19 + { 2444628.50, 51.435438 }, //24 January 1981, UT1-UTC=-0.2514384, Accumulated Leap Seconds=19 + { 2444629.50, 51.437790 }, //25 January 1981, UT1-UTC=-0.2537904, Accumulated Leap Seconds=19 + { 2444630.50, 51.440129 }, //26 January 1981, UT1-UTC=-0.2561285, Accumulated Leap Seconds=19 + { 2444631.50, 51.442422 }, //27 January 1981, UT1-UTC=-0.2584219, Accumulated Leap Seconds=19 + { 2444632.50, 51.444643 }, //28 January 1981, UT1-UTC=-0.2606435, Accumulated Leap Seconds=19 + { 2444633.50, 51.446775 }, //29 January 1981, UT1-UTC=-0.2627747, Accumulated Leap Seconds=19 + { 2444634.50, 51.448809 }, //30 January 1981, UT1-UTC=-0.2648091, Accumulated Leap Seconds=19 + { 2444635.50, 51.450754 }, //31 January 1981, UT1-UTC=-0.2667537, Accumulated Leap Seconds=19 + { 2444636.50, 51.452629 }, //01 February 1981, UT1-UTC=-0.2686292, Accumulated Leap Seconds=19 + { 2444637.50, 51.454470 }, //02 February 1981, UT1-UTC=-0.2704700, Accumulated Leap Seconds=19 + { 2444638.50, 51.456325 }, //03 February 1981, UT1-UTC=-0.2723251, Accumulated Leap Seconds=19 + { 2444639.50, 51.458254 }, //04 February 1981, UT1-UTC=-0.2742544, Accumulated Leap Seconds=19 + { 2444640.50, 51.460317 }, //05 February 1981, UT1-UTC=-0.2763172, Accumulated Leap Seconds=19 + { 2444641.50, 51.462554 }, //06 February 1981, UT1-UTC=-0.2785542, Accumulated Leap Seconds=19 + { 2444642.50, 51.464970 }, //07 February 1981, UT1-UTC=-0.2809702, Accumulated Leap Seconds=19 + { 2444643.50, 51.467528 }, //08 February 1981, UT1-UTC=-0.2835277, Accumulated Leap Seconds=19 + { 2444644.50, 51.470155 }, //09 February 1981, UT1-UTC=-0.2861550, Accumulated Leap Seconds=19 + { 2444645.50, 51.472765 }, //10 February 1981, UT1-UTC=-0.2887649, Accumulated Leap Seconds=19 + { 2444646.50, 51.475278 }, //11 February 1981, UT1-UTC=-0.2912784, Accumulated Leap Seconds=19 + { 2444647.50, 51.477644 }, //12 February 1981, UT1-UTC=-0.2936444, Accumulated Leap Seconds=19 + { 2444648.50, 51.479850 }, //13 February 1981, UT1-UTC=-0.2958499, Accumulated Leap Seconds=19 + { 2444649.50, 51.481919 }, //14 February 1981, UT1-UTC=-0.2979186, Accumulated Leap Seconds=19 + { 2444650.50, 51.483903 }, //15 February 1981, UT1-UTC=-0.2999027, Accumulated Leap Seconds=19 + { 2444651.50, 51.485868 }, //16 February 1981, UT1-UTC=-0.3018679, Accumulated Leap Seconds=19 + { 2444652.50, 51.487876 }, //17 February 1981, UT1-UTC=-0.3038764, Accumulated Leap Seconds=19 + { 2444653.50, 51.489972 }, //18 February 1981, UT1-UTC=-0.3059724, Accumulated Leap Seconds=19 + { 2444654.50, 51.492175 }, //19 February 1981, UT1-UTC=-0.3081755, Accumulated Leap Seconds=19 + { 2444655.50, 51.494482 }, //20 February 1981, UT1-UTC=-0.3104817, Accumulated Leap Seconds=19 + { 2444656.50, 51.496871 }, //21 February 1981, UT1-UTC=-0.3128708, Accumulated Leap Seconds=19 + { 2444657.50, 51.499314 }, //22 February 1981, UT1-UTC=-0.3153137, Accumulated Leap Seconds=19 + { 2444658.50, 51.501779 }, //23 February 1981, UT1-UTC=-0.3177786, Accumulated Leap Seconds=19 + { 2444659.50, 51.504236 }, //24 February 1981, UT1-UTC=-0.3202357, Accumulated Leap Seconds=19 + { 2444660.50, 51.506662 }, //25 February 1981, UT1-UTC=-0.3226623, Accumulated Leap Seconds=19 + { 2444661.50, 51.509047 }, //26 February 1981, UT1-UTC=-0.3250466, Accumulated Leap Seconds=19 + { 2444662.50, 51.511391 }, //27 February 1981, UT1-UTC=-0.3273911, Accumulated Leap Seconds=19 + { 2444663.50, 51.513712 }, //28 February 1981, UT1-UTC=-0.3297123, Accumulated Leap Seconds=19 + { 2444664.50, 51.516039 }, //01 March 1981, UT1-UTC=-0.3320394, Accumulated Leap Seconds=19 + { 2444665.50, 51.518412 }, //02 March 1981, UT1-UTC=-0.3344120, Accumulated Leap Seconds=19 + { 2444666.50, 51.520881 }, //03 March 1981, UT1-UTC=-0.3368807, Accumulated Leap Seconds=19 + { 2444667.50, 51.523503 }, //04 March 1981, UT1-UTC=-0.3395035, Accumulated Leap Seconds=19 + { 2444668.50, 51.526331 }, //05 March 1981, UT1-UTC=-0.3423313, Accumulated Leap Seconds=19 + { 2444669.50, 51.529386 }, //06 March 1981, UT1-UTC=-0.3453865, Accumulated Leap Seconds=19 + { 2444670.50, 51.532646 }, //07 March 1981, UT1-UTC=-0.3486457, Accumulated Leap Seconds=19 + { 2444671.50, 51.536037 }, //08 March 1981, UT1-UTC=-0.3520370, Accumulated Leap Seconds=19 + { 2444672.50, 51.539455 }, //09 March 1981, UT1-UTC=-0.3554548, Accumulated Leap Seconds=19 + { 2444673.50, 51.542790 }, //10 March 1981, UT1-UTC=-0.3587897, Accumulated Leap Seconds=19 + { 2444674.50, 51.545959 }, //11 March 1981, UT1-UTC=-0.3619587, Accumulated Leap Seconds=19 + { 2444675.50, 51.548925 }, //12 March 1981, UT1-UTC=-0.3649249, Accumulated Leap Seconds=19 + { 2444676.50, 51.551699 }, //13 March 1981, UT1-UTC=-0.3676989, Accumulated Leap Seconds=19 + { 2444677.50, 51.554327 }, //14 March 1981, UT1-UTC=-0.3703271, Accumulated Leap Seconds=19 + { 2444678.50, 51.556873 }, //15 March 1981, UT1-UTC=-0.3728734, Accumulated Leap Seconds=19 + { 2444679.50, 51.559400 }, //16 March 1981, UT1-UTC=-0.3754002, Accumulated Leap Seconds=19 + { 2444680.50, 51.561955 }, //17 March 1981, UT1-UTC=-0.3779546, Accumulated Leap Seconds=19 + { 2444681.50, 51.564561 }, //18 March 1981, UT1-UTC=-0.3805608, Accumulated Leap Seconds=19 + { 2444682.50, 51.567221 }, //19 March 1981, UT1-UTC=-0.3832206, Accumulated Leap Seconds=19 + { 2444683.50, 51.569917 }, //20 March 1981, UT1-UTC=-0.3859169, Accumulated Leap Seconds=19 + { 2444684.50, 51.572621 }, //21 March 1981, UT1-UTC=-0.3886210, Accumulated Leap Seconds=19 + { 2444685.50, 51.575299 }, //22 March 1981, UT1-UTC=-0.3912986, Accumulated Leap Seconds=19 + { 2444686.50, 51.577916 }, //23 March 1981, UT1-UTC=-0.3939164, Accumulated Leap Seconds=19 + { 2444687.50, 51.580446 }, //24 March 1981, UT1-UTC=-0.3964461, Accumulated Leap Seconds=19 + { 2444688.50, 51.582870 }, //25 March 1981, UT1-UTC=-0.3988704, Accumulated Leap Seconds=19 + { 2444689.50, 51.585186 }, //26 March 1981, UT1-UTC=-0.4011864, Accumulated Leap Seconds=19 + { 2444690.50, 51.587408 }, //27 March 1981, UT1-UTC=-0.4034080, Accumulated Leap Seconds=19 + { 2444691.50, 51.589565 }, //28 March 1981, UT1-UTC=-0.4055650, Accumulated Leap Seconds=19 + { 2444692.50, 51.591700 }, //29 March 1981, UT1-UTC=-0.4077000, Accumulated Leap Seconds=19 + { 2444693.50, 51.593867 }, //30 March 1981, UT1-UTC=-0.4098667, Accumulated Leap Seconds=19 + { 2444694.50, 51.596128 }, //31 March 1981, UT1-UTC=-0.4121276, Accumulated Leap Seconds=19 + { 2444695.50, 51.598548 }, //01 April 1981, UT1-UTC=-0.4145479, Accumulated Leap Seconds=19 + { 2444696.50, 51.601179 }, //02 April 1981, UT1-UTC=-0.4171794, Accumulated Leap Seconds=19 + { 2444697.50, 51.604040 }, //03 April 1981, UT1-UTC=-0.4200401, Accumulated Leap Seconds=19 + { 2444698.50, 51.607097 }, //04 April 1981, UT1-UTC=-0.4230968, Accumulated Leap Seconds=19 + { 2444699.50, 51.610265 }, //05 April 1981, UT1-UTC=-0.4262651, Accumulated Leap Seconds=19 + { 2444700.50, 51.613432 }, //06 April 1981, UT1-UTC=-0.4294318, Accumulated Leap Seconds=19 + { 2444701.50, 51.616492 }, //07 April 1981, UT1-UTC=-0.4324918, Accumulated Leap Seconds=19 + { 2444702.50, 51.619381 }, //08 April 1981, UT1-UTC=-0.4353808, Accumulated Leap Seconds=19 + { 2444703.50, 51.622091 }, //09 April 1981, UT1-UTC=-0.4380908, Accumulated Leap Seconds=19 + { 2444704.50, 51.624664 }, //10 April 1981, UT1-UTC=-0.4406638, Accumulated Leap Seconds=19 + { 2444705.50, 51.627170 }, //11 April 1981, UT1-UTC=-0.4431695, Accumulated Leap Seconds=19 + { 2444706.50, 51.629680 }, //12 April 1981, UT1-UTC=-0.4456805, Accumulated Leap Seconds=19 + { 2444707.50, 51.632254 }, //13 April 1981, UT1-UTC=-0.4482538, Accumulated Leap Seconds=19 + { 2444708.50, 51.634921 }, //14 April 1981, UT1-UTC=-0.4509213, Accumulated Leap Seconds=19 + { 2444709.50, 51.637690 }, //15 April 1981, UT1-UTC=-0.4536905, Accumulated Leap Seconds=19 + { 2444710.50, 51.640548 }, //16 April 1981, UT1-UTC=-0.4565482, Accumulated Leap Seconds=19 + { 2444711.50, 51.643466 }, //17 April 1981, UT1-UTC=-0.4594661, Accumulated Leap Seconds=19 + { 2444712.50, 51.646407 }, //18 April 1981, UT1-UTC=-0.4624072, Accumulated Leap Seconds=19 + { 2444713.50, 51.649331 }, //19 April 1981, UT1-UTC=-0.4653310, Accumulated Leap Seconds=19 + { 2444714.50, 51.652198 }, //20 April 1981, UT1-UTC=-0.4681983, Accumulated Leap Seconds=19 + { 2444715.50, 51.654978 }, //21 April 1981, UT1-UTC=-0.4709777, Accumulated Leap Seconds=19 + { 2444716.50, 51.657651 }, //22 April 1981, UT1-UTC=-0.4736507, Accumulated Leap Seconds=19 + { 2444717.50, 51.660215 }, //23 April 1981, UT1-UTC=-0.4762150, Accumulated Leap Seconds=19 + { 2444718.50, 51.662687 }, //24 April 1981, UT1-UTC=-0.4786868, Accumulated Leap Seconds=19 + { 2444719.50, 51.665097 }, //25 April 1981, UT1-UTC=-0.4810974, Accumulated Leap Seconds=19 + { 2444720.50, 51.667490 }, //26 April 1981, UT1-UTC=-0.4834904, Accumulated Leap Seconds=19 + { 2444721.50, 51.669918 }, //27 April 1981, UT1-UTC=-0.4859176, Accumulated Leap Seconds=19 + { 2444722.50, 51.672434 }, //28 April 1981, UT1-UTC=-0.4884342, Accumulated Leap Seconds=19 + { 2444723.50, 51.675092 }, //29 April 1981, UT1-UTC=-0.4910916, Accumulated Leap Seconds=19 + { 2444724.50, 51.677923 }, //30 April 1981, UT1-UTC=-0.4939229, Accumulated Leap Seconds=19 + { 2444725.50, 51.680924 }, //01 May 1981, UT1-UTC=-0.4969240, Accumulated Leap Seconds=19 + { 2444726.50, 51.684042 }, //02 May 1981, UT1-UTC=-0.5000422, Accumulated Leap Seconds=19 + { 2444727.50, 51.687181 }, //03 May 1981, UT1-UTC=-0.5031810, Accumulated Leap Seconds=19 + { 2444728.50, 51.690226 }, //04 May 1981, UT1-UTC=-0.5062258, Accumulated Leap Seconds=19 + { 2444729.50, 51.693082 }, //05 May 1981, UT1-UTC=-0.5090820, Accumulated Leap Seconds=19 + { 2444730.50, 51.695706 }, //06 May 1981, UT1-UTC=-0.5117062, Accumulated Leap Seconds=19 + { 2444731.50, 51.698115 }, //07 May 1981, UT1-UTC=-0.5141149, Accumulated Leap Seconds=19 + { 2444732.50, 51.700371 }, //08 May 1981, UT1-UTC=-0.5163715, Accumulated Leap Seconds=19 + { 2444733.50, 51.702557 }, //09 May 1981, UT1-UTC=-0.5185568, Accumulated Leap Seconds=19 + { 2444734.50, 51.704743 }, //10 May 1981, UT1-UTC=-0.5207429, Accumulated Leap Seconds=19 + { 2444735.50, 51.706977 }, //11 May 1981, UT1-UTC=-0.5229772, Accumulated Leap Seconds=19 + { 2444736.50, 51.709279 }, //12 May 1981, UT1-UTC=-0.5252793, Accumulated Leap Seconds=19 + { 2444737.50, 51.711646 }, //13 May 1981, UT1-UTC=-0.5276464, Accumulated Leap Seconds=19 + { 2444738.50, 51.714060 }, //14 May 1981, UT1-UTC=-0.5300601, Accumulated Leap Seconds=19 + { 2444739.50, 51.716493 }, //15 May 1981, UT1-UTC=-0.5324934, Accumulated Leap Seconds=19 + { 2444740.50, 51.718915 }, //16 May 1981, UT1-UTC=-0.5349155, Accumulated Leap Seconds=19 + { 2444741.50, 51.721296 }, //17 May 1981, UT1-UTC=-0.5372959, Accumulated Leap Seconds=19 + { 2444742.50, 51.723609 }, //18 May 1981, UT1-UTC=-0.5396090, Accumulated Leap Seconds=19 + { 2444743.50, 51.725839 }, //19 May 1981, UT1-UTC=-0.5418392, Accumulated Leap Seconds=19 + { 2444744.50, 51.727984 }, //20 May 1981, UT1-UTC=-0.5439842, Accumulated Leap Seconds=19 + { 2444745.50, 51.730057 }, //21 May 1981, UT1-UTC=-0.5460571, Accumulated Leap Seconds=19 + { 2444746.50, 51.732087 }, //22 May 1981, UT1-UTC=-0.5480870, Accumulated Leap Seconds=19 + { 2444747.50, 51.734115 }, //23 May 1981, UT1-UTC=-0.5501150, Accumulated Leap Seconds=19 + { 2444748.50, 51.736189 }, //24 May 1981, UT1-UTC=-0.5521892, Accumulated Leap Seconds=19 + { 2444749.50, 51.738360 }, //25 May 1981, UT1-UTC=-0.5543596, Accumulated Leap Seconds=19 + { 2444750.50, 51.740672 }, //26 May 1981, UT1-UTC=-0.5566719, Accumulated Leap Seconds=19 + { 2444751.50, 51.743160 }, //27 May 1981, UT1-UTC=-0.5591598, Accumulated Leap Seconds=19 + { 2444752.50, 51.745833 }, //28 May 1981, UT1-UTC=-0.5618327, Accumulated Leap Seconds=19 + { 2444753.50, 51.748663 }, //29 May 1981, UT1-UTC=-0.5646635, Accumulated Leap Seconds=19 + { 2444754.50, 51.751583 }, //30 May 1981, UT1-UTC=-0.5675835, Accumulated Leap Seconds=19 + { 2444755.50, 51.754492 }, //31 May 1981, UT1-UTC=-0.5704924, Accumulated Leap Seconds=19 + { 2444756.50, 51.757285 }, //01 June 1981, UT1-UTC=-0.5732854, Accumulated Leap Seconds=19 + { 2444757.50, 51.759888 }, //02 June 1981, UT1-UTC=-0.5758879, Accumulated Leap Seconds=19 + { 2444758.50, 51.762279 }, //03 June 1981, UT1-UTC=-0.5782792, Accumulated Leap Seconds=19 + { 2444759.50, 51.764494 }, //04 June 1981, UT1-UTC=-0.5804940, Accumulated Leap Seconds=19 + { 2444760.50, 51.766602 }, //05 June 1981, UT1-UTC=-0.5826020, Accumulated Leap Seconds=19 + { 2444761.50, 51.768678 }, //06 June 1981, UT1-UTC=-0.5846779, Accumulated Leap Seconds=19 + { 2444762.50, 51.770776 }, //07 June 1981, UT1-UTC=-0.5867761, Accumulated Leap Seconds=19 + { 2444763.50, 51.772920 }, //08 June 1981, UT1-UTC=-0.5889200, Accumulated Leap Seconds=19 + { 2444764.50, 51.775105 }, //09 June 1981, UT1-UTC=-0.5911049, Accumulated Leap Seconds=19 + { 2444765.50, 51.777307 }, //10 June 1981, UT1-UTC=-0.5933073, Accumulated Leap Seconds=19 + { 2444766.50, 51.779495 }, //11 June 1981, UT1-UTC=-0.5954946, Accumulated Leap Seconds=19 + { 2444767.50, 51.781631 }, //12 June 1981, UT1-UTC=-0.5976311, Accumulated Leap Seconds=19 + { 2444768.50, 51.783683 }, //13 June 1981, UT1-UTC=-0.5996832, Accumulated Leap Seconds=19 + { 2444769.50, 51.785623 }, //14 June 1981, UT1-UTC=-0.6016228, Accumulated Leap Seconds=19 + { 2444770.50, 51.787431 }, //15 June 1981, UT1-UTC=-0.6034315, Accumulated Leap Seconds=19 + { 2444771.50, 51.789104 }, //16 June 1981, UT1-UTC=-0.6051043, Accumulated Leap Seconds=19 + { 2444772.50, 51.790651 }, //17 June 1981, UT1-UTC=-0.6066515, Accumulated Leap Seconds=19 + { 2444773.50, 51.792099 }, //18 June 1981, UT1-UTC=-0.6080991, Accumulated Leap Seconds=19 + { 2444774.50, 51.793487 }, //19 June 1981, UT1-UTC=-0.6094870, Accumulated Leap Seconds=19 + { 2444775.50, 51.794865 }, //20 June 1981, UT1-UTC=-0.6108651, Accumulated Leap Seconds=19 + { 2444776.50, 51.796286 }, //21 June 1981, UT1-UTC=-0.6122857, Accumulated Leap Seconds=19 + { 2444777.50, 51.797796 }, //22 June 1981, UT1-UTC=-0.6137956, Accumulated Leap Seconds=19 + { 2444778.50, 51.799427 }, //23 June 1981, UT1-UTC=-0.6154270, Accumulated Leap Seconds=19 + { 2444779.50, 51.801191 }, //24 June 1981, UT1-UTC=-0.6171909, Accumulated Leap Seconds=19 + { 2444780.50, 51.803071 }, //25 June 1981, UT1-UTC=-0.6190711, Accumulated Leap Seconds=19 + { 2444781.50, 51.805021 }, //26 June 1981, UT1-UTC=-0.6210211, Accumulated Leap Seconds=19 + { 2444782.50, 51.806967 }, //27 June 1981, UT1-UTC=-0.6229673, Accumulated Leap Seconds=19 + { 2444783.50, 51.808825 }, //28 June 1981, UT1-UTC=-0.6248250, Accumulated Leap Seconds=19 + { 2444784.50, 51.810521 }, //29 June 1981, UT1-UTC=-0.6265211, Accumulated Leap Seconds=19 + { 2444785.50, 51.812019 }, //30 June 1981, UT1-UTC=-0.6280192, Accumulated Leap Seconds=19 + { 2444786.50, 51.813333 }, //01 July 1981, UT1-UTC= 0.3706665, Accumulated Leap Seconds=20 + { 2444787.50, 51.814522 }, //02 July 1981, UT1-UTC= 0.3694777, Accumulated Leap Seconds=20 + { 2444788.50, 51.815664 }, //03 July 1981, UT1-UTC= 0.3683358, Accumulated Leap Seconds=20 + { 2444789.50, 51.816828 }, //04 July 1981, UT1-UTC= 0.3671721, Accumulated Leap Seconds=20 + { 2444790.50, 51.818053 }, //05 July 1981, UT1-UTC= 0.3659465, Accumulated Leap Seconds=20 + { 2444791.50, 51.819347 }, //06 July 1981, UT1-UTC= 0.3646531, Accumulated Leap Seconds=20 + { 2444792.50, 51.820688 }, //07 July 1981, UT1-UTC= 0.3633115, Accumulated Leap Seconds=20 + { 2444793.50, 51.822045 }, //08 July 1981, UT1-UTC= 0.3619550, Accumulated Leap Seconds=20 + { 2444794.50, 51.823379 }, //09 July 1981, UT1-UTC= 0.3606205, Accumulated Leap Seconds=20 + { 2444795.50, 51.824658 }, //10 July 1981, UT1-UTC= 0.3593416, Accumulated Leap Seconds=20 + { 2444796.50, 51.825855 }, //11 July 1981, UT1-UTC= 0.3581453, Accumulated Leap Seconds=20 + { 2444797.50, 51.826952 }, //12 July 1981, UT1-UTC= 0.3570477, Accumulated Leap Seconds=20 + { 2444798.50, 51.827948 }, //13 July 1981, UT1-UTC= 0.3560519, Accumulated Leap Seconds=20 + { 2444799.50, 51.828853 }, //14 July 1981, UT1-UTC= 0.3551467, Accumulated Leap Seconds=20 + { 2444800.50, 51.829694 }, //15 July 1981, UT1-UTC= 0.3543064, Accumulated Leap Seconds=20 + { 2444801.50, 51.830509 }, //16 July 1981, UT1-UTC= 0.3534912, Accumulated Leap Seconds=20 + { 2444802.50, 51.831350 }, //17 July 1981, UT1-UTC= 0.3526498, Accumulated Leap Seconds=20 + { 2444803.50, 51.832276 }, //18 July 1981, UT1-UTC= 0.3517243, Accumulated Leap Seconds=20 + { 2444804.50, 51.833340 }, //19 July 1981, UT1-UTC= 0.3506603, Accumulated Leap Seconds=20 + { 2444805.50, 51.834581 }, //20 July 1981, UT1-UTC= 0.3494185, Accumulated Leap Seconds=20 + { 2444806.50, 51.836015 }, //21 July 1981, UT1-UTC= 0.3479847, Accumulated Leap Seconds=20 + { 2444807.50, 51.837624 }, //22 July 1981, UT1-UTC= 0.3463761, Accumulated Leap Seconds=20 + { 2444808.50, 51.839360 }, //23 July 1981, UT1-UTC= 0.3446398, Accumulated Leap Seconds=20 + { 2444809.50, 51.841156 }, //24 July 1981, UT1-UTC= 0.3428438, Accumulated Leap Seconds=20 + { 2444810.50, 51.842936 }, //25 July 1981, UT1-UTC= 0.3410644, Accumulated Leap Seconds=20 + { 2444811.50, 51.844631 }, //26 July 1981, UT1-UTC= 0.3393691, Accumulated Leap Seconds=20 + { 2444812.50, 51.846202 }, //27 July 1981, UT1-UTC= 0.3377979, Accumulated Leap Seconds=20 + { 2444813.50, 51.847649 }, //28 July 1981, UT1-UTC= 0.3363514, Accumulated Leap Seconds=20 + { 2444814.50, 51.849010 }, //29 July 1981, UT1-UTC= 0.3349899, Accumulated Leap Seconds=20 + { 2444815.50, 51.850353 }, //30 July 1981, UT1-UTC= 0.3336469, Accumulated Leap Seconds=20 + { 2444816.50, 51.851746 }, //31 July 1981, UT1-UTC= 0.3322535, Accumulated Leap Seconds=20 + { 2444817.50, 51.853238 }, //01 August 1981, UT1-UTC= 0.3307615, Accumulated Leap Seconds=20 + { 2444818.50, 51.854844 }, //02 August 1981, UT1-UTC= 0.3291561, Accumulated Leap Seconds=20 + { 2444819.50, 51.856546 }, //03 August 1981, UT1-UTC= 0.3274544, Accumulated Leap Seconds=20 + { 2444820.50, 51.858306 }, //04 August 1981, UT1-UTC= 0.3256944, Accumulated Leap Seconds=20 + { 2444821.50, 51.860078 }, //05 August 1981, UT1-UTC= 0.3239221, Accumulated Leap Seconds=20 + { 2444822.50, 51.861818 }, //06 August 1981, UT1-UTC= 0.3221817, Accumulated Leap Seconds=20 + { 2444823.50, 51.863490 }, //07 August 1981, UT1-UTC= 0.3205100, Accumulated Leap Seconds=20 + { 2444824.50, 51.865067 }, //08 August 1981, UT1-UTC= 0.3189326, Accumulated Leap Seconds=20 + { 2444825.50, 51.866539 }, //09 August 1981, UT1-UTC= 0.3174612, Accumulated Leap Seconds=20 + { 2444826.50, 51.867908 }, //10 August 1981, UT1-UTC= 0.3160922, Accumulated Leap Seconds=20 + { 2444827.50, 51.869193 }, //11 August 1981, UT1-UTC= 0.3148068, Accumulated Leap Seconds=20 + { 2444828.50, 51.870427 }, //12 August 1981, UT1-UTC= 0.3135734, Accumulated Leap Seconds=20 + { 2444829.50, 51.871651 }, //13 August 1981, UT1-UTC= 0.3123490, Accumulated Leap Seconds=20 + { 2444830.50, 51.872918 }, //14 August 1981, UT1-UTC= 0.3110819, Accumulated Leap Seconds=20 + { 2444831.50, 51.874283 }, //15 August 1981, UT1-UTC= 0.3097165, Accumulated Leap Seconds=20 + { 2444832.50, 51.875794 }, //16 August 1981, UT1-UTC= 0.3082058, Accumulated Leap Seconds=20 + { 2444833.50, 51.877473 }, //17 August 1981, UT1-UTC= 0.3065269, Accumulated Leap Seconds=20 + { 2444834.50, 51.879307 }, //18 August 1981, UT1-UTC= 0.3046927, Accumulated Leap Seconds=20 + { 2444835.50, 51.881247 }, //19 August 1981, UT1-UTC= 0.3027534, Accumulated Leap Seconds=20 + { 2444836.50, 51.883214 }, //20 August 1981, UT1-UTC= 0.3007863, Accumulated Leap Seconds=20 + { 2444837.50, 51.885124 }, //21 August 1981, UT1-UTC= 0.2988761, Accumulated Leap Seconds=20 + { 2444838.50, 51.886907 }, //22 August 1981, UT1-UTC= 0.2970932, Accumulated Leap Seconds=20 + { 2444839.50, 51.888523 }, //23 August 1981, UT1-UTC= 0.2954768, Accumulated Leap Seconds=20 + { 2444840.50, 51.889974 }, //24 August 1981, UT1-UTC= 0.2940264, Accumulated Leap Seconds=20 + { 2444841.50, 51.891296 }, //25 August 1981, UT1-UTC= 0.2927041, Accumulated Leap Seconds=20 + { 2444842.50, 51.892555 }, //26 August 1981, UT1-UTC= 0.2914453, Accumulated Leap Seconds=20 + { 2444843.50, 51.893823 }, //27 August 1981, UT1-UTC= 0.2901771, Accumulated Leap Seconds=20 + { 2444844.50, 51.895162 }, //28 August 1981, UT1-UTC= 0.2888384, Accumulated Leap Seconds=20 + { 2444845.50, 51.896604 }, //29 August 1981, UT1-UTC= 0.2873960, Accumulated Leap Seconds=20 + { 2444846.50, 51.898151 }, //30 August 1981, UT1-UTC= 0.2858492, Accumulated Leap Seconds=20 + { 2444847.50, 51.899775 }, //31 August 1981, UT1-UTC= 0.2842247, Accumulated Leap Seconds=20 + { 2444848.50, 51.901436 }, //01 September 1981, UT1-UTC= 0.2825642, Accumulated Leap Seconds=20 + { 2444849.50, 51.903088 }, //02 September 1981, UT1-UTC= 0.2809121, Accumulated Leap Seconds=20 + { 2444850.50, 51.904693 }, //03 September 1981, UT1-UTC= 0.2793066, Accumulated Leap Seconds=20 + { 2444851.50, 51.906225 }, //04 September 1981, UT1-UTC= 0.2777746, Accumulated Leap Seconds=20 + { 2444852.50, 51.907671 }, //05 September 1981, UT1-UTC= 0.2763288, Accumulated Leap Seconds=20 + { 2444853.50, 51.909035 }, //06 September 1981, UT1-UTC= 0.2749651, Accumulated Leap Seconds=20 + { 2444854.50, 51.910337 }, //07 September 1981, UT1-UTC= 0.2736626, Accumulated Leap Seconds=20 + { 2444855.50, 51.911613 }, //08 September 1981, UT1-UTC= 0.2723866, Accumulated Leap Seconds=20 + { 2444856.50, 51.912909 }, //09 September 1981, UT1-UTC= 0.2710914, Accumulated Leap Seconds=20 + { 2444857.50, 51.914277 }, //10 September 1981, UT1-UTC= 0.2697232, Accumulated Leap Seconds=20 + { 2444858.50, 51.915777 }, //11 September 1981, UT1-UTC= 0.2682232, Accumulated Leap Seconds=20 + { 2444859.50, 51.917465 }, //12 September 1981, UT1-UTC= 0.2665346, Accumulated Leap Seconds=20 + { 2444860.50, 51.919384 }, //13 September 1981, UT1-UTC= 0.2646162, Accumulated Leap Seconds=20 + { 2444861.50, 51.921540 }, //14 September 1981, UT1-UTC= 0.2624596, Accumulated Leap Seconds=20 + { 2444862.50, 51.923899 }, //15 September 1981, UT1-UTC= 0.2601009, Accumulated Leap Seconds=20 + { 2444863.50, 51.926381 }, //16 September 1981, UT1-UTC= 0.2576186, Accumulated Leap Seconds=20 + { 2444864.50, 51.928885 }, //17 September 1981, UT1-UTC= 0.2551147, Accumulated Leap Seconds=20 + { 2444865.50, 51.931315 }, //18 September 1981, UT1-UTC= 0.2526846, Accumulated Leap Seconds=20 + { 2444866.50, 51.933610 }, //19 September 1981, UT1-UTC= 0.2503899, Accumulated Leap Seconds=20 + { 2444867.50, 51.935755 }, //20 September 1981, UT1-UTC= 0.2482445, Accumulated Leap Seconds=20 + { 2444868.50, 51.937783 }, //21 September 1981, UT1-UTC= 0.2462167, Accumulated Leap Seconds=20 + { 2444869.50, 51.939756 }, //22 September 1981, UT1-UTC= 0.2442442, Accumulated Leap Seconds=20 + { 2444870.50, 51.941745 }, //23 September 1981, UT1-UTC= 0.2422552, Accumulated Leap Seconds=20 + { 2444871.50, 51.943811 }, //24 September 1981, UT1-UTC= 0.2401886, Accumulated Leap Seconds=20 + { 2444872.50, 51.945992 }, //25 September 1981, UT1-UTC= 0.2380076, Accumulated Leap Seconds=20 + { 2444873.50, 51.948294 }, //26 September 1981, UT1-UTC= 0.2357062, Accumulated Leap Seconds=20 + { 2444874.50, 51.950693 }, //27 September 1981, UT1-UTC= 0.2333073, Accumulated Leap Seconds=20 + { 2444875.50, 51.953146 }, //28 September 1981, UT1-UTC= 0.2308535, Accumulated Leap Seconds=20 + { 2444876.50, 51.955604 }, //29 September 1981, UT1-UTC= 0.2283959, Accumulated Leap Seconds=20 + { 2444877.50, 51.958016 }, //30 September 1981, UT1-UTC= 0.2259836, Accumulated Leap Seconds=20 + { 2444878.50, 51.960343 }, //01 October 1981, UT1-UTC= 0.2236567, Accumulated Leap Seconds=20 + { 2444879.50, 51.962560 }, //02 October 1981, UT1-UTC= 0.2214404, Accumulated Leap Seconds=20 + { 2444880.50, 51.964657 }, //03 October 1981, UT1-UTC= 0.2193426, Accumulated Leap Seconds=20 + { 2444881.50, 51.966648 }, //04 October 1981, UT1-UTC= 0.2173522, Accumulated Leap Seconds=20 + { 2444882.50, 51.968561 }, //05 October 1981, UT1-UTC= 0.2154394, Accumulated Leap Seconds=20 + { 2444883.50, 51.970439 }, //06 October 1981, UT1-UTC= 0.2135611, Accumulated Leap Seconds=20 + { 2444884.50, 51.972334 }, //07 October 1981, UT1-UTC= 0.2116664, Accumulated Leap Seconds=20 + { 2444885.50, 51.974301 }, //08 October 1981, UT1-UTC= 0.2096990, Accumulated Leap Seconds=20 + { 2444886.50, 51.976399 }, //09 October 1981, UT1-UTC= 0.2076010, Accumulated Leap Seconds=20 + { 2444887.50, 51.978680 }, //10 October 1981, UT1-UTC= 0.2053203, Accumulated Leap Seconds=20 + { 2444888.50, 51.981175 }, //11 October 1981, UT1-UTC= 0.2028253, Accumulated Leap Seconds=20 + { 2444889.50, 51.983878 }, //12 October 1981, UT1-UTC= 0.2001219, Accumulated Leap Seconds=20 + { 2444890.50, 51.986735 }, //13 October 1981, UT1-UTC= 0.1972647, Accumulated Leap Seconds=20 + { 2444891.50, 51.989649 }, //14 October 1981, UT1-UTC= 0.1943507, Accumulated Leap Seconds=20 + { 2444892.50, 51.992507 }, //15 October 1981, UT1-UTC= 0.1914929, Accumulated Leap Seconds=20 + { 2444893.50, 51.995217 }, //16 October 1981, UT1-UTC= 0.1887834, Accumulated Leap Seconds=20 + { 2444894.50, 51.997735 }, //17 October 1981, UT1-UTC= 0.1862652, Accumulated Leap Seconds=20 + { 2444895.50, 52.000077 }, //18 October 1981, UT1-UTC= 0.1839228, Accumulated Leap Seconds=20 + { 2444896.50, 52.002304 }, //19 October 1981, UT1-UTC= 0.1816955, Accumulated Leap Seconds=20 + { 2444897.50, 52.004496 }, //20 October 1981, UT1-UTC= 0.1795035, Accumulated Leap Seconds=20 + { 2444898.50, 52.006726 }, //21 October 1981, UT1-UTC= 0.1772743, Accumulated Leap Seconds=20 + { 2444899.50, 52.009040 }, //22 October 1981, UT1-UTC= 0.1749598, Accumulated Leap Seconds=20 + { 2444900.50, 52.011457 }, //23 October 1981, UT1-UTC= 0.1725434, Accumulated Leap Seconds=20 + { 2444901.50, 52.013963 }, //24 October 1981, UT1-UTC= 0.1700374, Accumulated Leap Seconds=20 + { 2444902.50, 52.016525 }, //25 October 1981, UT1-UTC= 0.1674746, Accumulated Leap Seconds=20 + { 2444903.50, 52.019100 }, //26 October 1981, UT1-UTC= 0.1648997, Accumulated Leap Seconds=20 + { 2444904.50, 52.021641 }, //27 October 1981, UT1-UTC= 0.1623594, Accumulated Leap Seconds=20 + { 2444905.50, 52.024104 }, //28 October 1981, UT1-UTC= 0.1598955, Accumulated Leap Seconds=20 + { 2444906.50, 52.026461 }, //29 October 1981, UT1-UTC= 0.1575393, Accumulated Leap Seconds=20 + { 2444907.50, 52.028692 }, //30 October 1981, UT1-UTC= 0.1553075, Accumulated Leap Seconds=20 + { 2444908.50, 52.030801 }, //31 October 1981, UT1-UTC= 0.1531987, Accumulated Leap Seconds=20 + { 2444909.50, 52.032807 }, //01 November 1981, UT1-UTC= 0.1511928, Accumulated Leap Seconds=20 + { 2444910.50, 52.034747 }, //02 November 1981, UT1-UTC= 0.1492531, Accumulated Leap Seconds=20 + { 2444911.50, 52.036668 }, //03 November 1981, UT1-UTC= 0.1473323, Accumulated Leap Seconds=20 + { 2444912.50, 52.038622 }, //04 November 1981, UT1-UTC= 0.1453780, Accumulated Leap Seconds=20 + { 2444913.50, 52.040663 }, //05 November 1981, UT1-UTC= 0.1433366, Accumulated Leap Seconds=20 + { 2444914.50, 52.042843 }, //06 November 1981, UT1-UTC= 0.1411574, Accumulated Leap Seconds=20 + { 2444915.50, 52.045200 }, //07 November 1981, UT1-UTC= 0.1387998, Accumulated Leap Seconds=20 + { 2444916.50, 52.047753 }, //08 November 1981, UT1-UTC= 0.1362468, Accumulated Leap Seconds=20 + { 2444917.50, 52.050479 }, //09 November 1981, UT1-UTC= 0.1335205, Accumulated Leap Seconds=20 + { 2444918.50, 52.053310 }, //10 November 1981, UT1-UTC= 0.1306898, Accumulated Leap Seconds=20 + { 2444919.50, 52.056142 }, //11 November 1981, UT1-UTC= 0.1278584, Accumulated Leap Seconds=20 + { 2444920.50, 52.058864 }, //12 November 1981, UT1-UTC= 0.1251355, Accumulated Leap Seconds=20 + { 2444921.50, 52.061401 }, //13 November 1981, UT1-UTC= 0.1225986, Accumulated Leap Seconds=20 + { 2444922.50, 52.063733 }, //14 November 1981, UT1-UTC= 0.1202668, Accumulated Leap Seconds=20 + { 2444923.50, 52.065900 }, //15 November 1981, UT1-UTC= 0.1181004, Accumulated Leap Seconds=20 + { 2444924.50, 52.067978 }, //16 November 1981, UT1-UTC= 0.1160223, Accumulated Leap Seconds=20 + { 2444925.50, 52.070049 }, //17 November 1981, UT1-UTC= 0.1139505, Accumulated Leap Seconds=20 + { 2444926.50, 52.072175 }, //18 November 1981, UT1-UTC= 0.1118252, Accumulated Leap Seconds=20 + { 2444927.50, 52.074378 }, //19 November 1981, UT1-UTC= 0.1096218, Accumulated Leap Seconds=20 + { 2444928.50, 52.076652 }, //20 November 1981, UT1-UTC= 0.1073481, Accumulated Leap Seconds=20 + { 2444929.50, 52.078967 }, //21 November 1981, UT1-UTC= 0.1050334, Accumulated Leap Seconds=20 + { 2444930.50, 52.081284 }, //22 November 1981, UT1-UTC= 0.1027164, Accumulated Leap Seconds=20 + { 2444931.50, 52.083562 }, //23 November 1981, UT1-UTC= 0.1004375, Accumulated Leap Seconds=20 + { 2444932.50, 52.085766 }, //24 November 1981, UT1-UTC= 0.0982337, Accumulated Leap Seconds=20 + { 2444933.50, 52.087867 }, //25 November 1981, UT1-UTC= 0.0961332, Accumulated Leap Seconds=20 + { 2444934.50, 52.089848 }, //26 November 1981, UT1-UTC= 0.0941523, Accumulated Leap Seconds=20 + { 2444935.50, 52.091708 }, //27 November 1981, UT1-UTC= 0.0922918, Accumulated Leap Seconds=20 + { 2444936.50, 52.093464 }, //28 November 1981, UT1-UTC= 0.0905357, Accumulated Leap Seconds=20 + { 2444937.50, 52.095149 }, //29 November 1981, UT1-UTC= 0.0888511, Accumulated Leap Seconds=20 + { 2444938.50, 52.096808 }, //30 November 1981, UT1-UTC= 0.0871918, Accumulated Leap Seconds=20 + { 2444939.50, 52.098496 }, //01 December 1981, UT1-UTC= 0.0855043, Accumulated Leap Seconds=20 + { 2444940.50, 52.100265 }, //02 December 1981, UT1-UTC= 0.0837345, Accumulated Leap Seconds=20 + { 2444941.50, 52.102167 }, //03 December 1981, UT1-UTC= 0.0818334, Accumulated Leap Seconds=20 + { 2444942.50, 52.104239 }, //04 December 1981, UT1-UTC= 0.0797612, Accumulated Leap Seconds=20 + { 2444943.50, 52.106506 }, //05 December 1981, UT1-UTC= 0.0774939, Accumulated Leap Seconds=20 + { 2444944.50, 52.108966 }, //06 December 1981, UT1-UTC= 0.0750336, Accumulated Leap Seconds=20 + { 2444945.50, 52.111582 }, //07 December 1981, UT1-UTC= 0.0724176, Accumulated Leap Seconds=20 + { 2444946.50, 52.114279 }, //08 December 1981, UT1-UTC= 0.0697211, Accumulated Leap Seconds=20 + { 2444947.50, 52.116959 }, //09 December 1981, UT1-UTC= 0.0670413, Accumulated Leap Seconds=20 + { 2444948.50, 52.119530 }, //10 December 1981, UT1-UTC= 0.0644701, Accumulated Leap Seconds=20 + { 2444949.50, 52.121940 }, //11 December 1981, UT1-UTC= 0.0620603, Accumulated Leap Seconds=20 + { 2444950.50, 52.124195 }, //12 December 1981, UT1-UTC= 0.0598052, Accumulated Leap Seconds=20 + { 2444951.50, 52.126354 }, //13 December 1981, UT1-UTC= 0.0576465, Accumulated Leap Seconds=20 + { 2444952.50, 52.128498 }, //14 December 1981, UT1-UTC= 0.0555017, Accumulated Leap Seconds=20 + { 2444953.50, 52.130701 }, //15 December 1981, UT1-UTC= 0.0532986, Accumulated Leap Seconds=20 + { 2444954.50, 52.133000 }, //16 December 1981, UT1-UTC= 0.0509998, Accumulated Leap Seconds=20 + { 2444955.50, 52.135392 }, //17 December 1981, UT1-UTC= 0.0486079, Accumulated Leap Seconds=20 + { 2444956.50, 52.137844 }, //18 December 1981, UT1-UTC= 0.0461555, Accumulated Leap Seconds=20 + { 2444957.50, 52.140311 }, //19 December 1981, UT1-UTC= 0.0436892, Accumulated Leap Seconds=20 + { 2444958.50, 52.142744 }, //20 December 1981, UT1-UTC= 0.0412561, Accumulated Leap Seconds=20 + { 2444959.50, 52.145103 }, //21 December 1981, UT1-UTC= 0.0388965, Accumulated Leap Seconds=20 + { 2444960.50, 52.147360 }, //22 December 1981, UT1-UTC= 0.0366400, Accumulated Leap Seconds=20 + { 2444961.50, 52.149496 }, //23 December 1981, UT1-UTC= 0.0345044, Accumulated Leap Seconds=20 + { 2444962.50, 52.151506 }, //24 December 1981, UT1-UTC= 0.0324942, Accumulated Leap Seconds=20 + { 2444963.50, 52.153402 }, //25 December 1981, UT1-UTC= 0.0305981, Accumulated Leap Seconds=20 + { 2444964.50, 52.155210 }, //26 December 1981, UT1-UTC= 0.0287895, Accumulated Leap Seconds=20 + { 2444965.50, 52.156972 }, //27 December 1981, UT1-UTC= 0.0270275, Accumulated Leap Seconds=20 + { 2444966.50, 52.158738 }, //28 December 1981, UT1-UTC= 0.0252621, Accumulated Leap Seconds=20 + { 2444967.50, 52.160560 }, //29 December 1981, UT1-UTC= 0.0234396, Accumulated Leap Seconds=20 + { 2444968.50, 52.162488 }, //30 December 1981, UT1-UTC= 0.0215121, Accumulated Leap Seconds=20 + { 2444969.50, 52.164556 }, //31 December 1981, UT1-UTC= 0.0194441, Accumulated Leap Seconds=20 + { 2444970.50, 52.166783 }, //01 January 1982, UT1-UTC= 0.0172174, Accumulated Leap Seconds=20 + { 2444971.50, 52.169165 }, //02 January 1982, UT1-UTC= 0.0148352, Accumulated Leap Seconds=20 + { 2444972.50, 52.171674 }, //03 January 1982, UT1-UTC= 0.0123255, Accumulated Leap Seconds=20 + { 2444973.50, 52.174256 }, //04 January 1982, UT1-UTC= 0.0097435, Accumulated Leap Seconds=20 + { 2444974.50, 52.176834 }, //05 January 1982, UT1-UTC= 0.0071659, Accumulated Leap Seconds=20 + { 2444975.50, 52.179326 }, //06 January 1982, UT1-UTC= 0.0046742, Accumulated Leap Seconds=20 + { 2444976.50, 52.181670 }, //07 January 1982, UT1-UTC= 0.0023299, Accumulated Leap Seconds=20 + { 2444977.50, 52.183850 }, //08 January 1982, UT1-UTC= 0.0001498, Accumulated Leap Seconds=20 + { 2444978.50, 52.185902 }, //09 January 1982, UT1-UTC=-0.0019018, Accumulated Leap Seconds=20 + { 2444979.50, 52.187899 }, //10 January 1982, UT1-UTC=-0.0038991, Accumulated Leap Seconds=20 + { 2444980.50, 52.189925 }, //11 January 1982, UT1-UTC=-0.0059248, Accumulated Leap Seconds=20 + { 2444981.50, 52.192037 }, //12 January 1982, UT1-UTC=-0.0080372, Accumulated Leap Seconds=20 + { 2444982.50, 52.194252 }, //13 January 1982, UT1-UTC=-0.0102519, Accumulated Leap Seconds=20 + { 2444983.50, 52.196544 }, //14 January 1982, UT1-UTC=-0.0125440, Accumulated Leap Seconds=20 + { 2444984.50, 52.198864 }, //15 January 1982, UT1-UTC=-0.0148636, Accumulated Leap Seconds=20 + { 2444985.50, 52.201155 }, //16 January 1982, UT1-UTC=-0.0171553, Accumulated Leap Seconds=20 + { 2444986.50, 52.203371 }, //17 January 1982, UT1-UTC=-0.0193709, Accumulated Leap Seconds=20 + { 2444987.50, 52.205476 }, //18 January 1982, UT1-UTC=-0.0214756, Accumulated Leap Seconds=20 + { 2444988.50, 52.207449 }, //19 January 1982, UT1-UTC=-0.0234491, Accumulated Leap Seconds=20 + { 2444989.50, 52.209286 }, //20 January 1982, UT1-UTC=-0.0252864, Accumulated Leap Seconds=20 + { 2444990.50, 52.210997 }, //21 January 1982, UT1-UTC=-0.0269973, Accumulated Leap Seconds=20 + { 2444991.50, 52.212606 }, //22 January 1982, UT1-UTC=-0.0286065, Accumulated Leap Seconds=20 + { 2444992.50, 52.214152 }, //23 January 1982, UT1-UTC=-0.0301516, Accumulated Leap Seconds=20 + { 2444993.50, 52.215681 }, //24 January 1982, UT1-UTC=-0.0316810, Accumulated Leap Seconds=20 + { 2444994.50, 52.217250 }, //25 January 1982, UT1-UTC=-0.0332497, Accumulated Leap Seconds=20 + { 2444995.50, 52.218911 }, //26 January 1982, UT1-UTC=-0.0349115, Accumulated Leap Seconds=20 + { 2444996.50, 52.220710 }, //27 January 1982, UT1-UTC=-0.0367096, Accumulated Leap Seconds=20 + { 2444997.50, 52.222667 }, //28 January 1982, UT1-UTC=-0.0386668, Accumulated Leap Seconds=20 + { 2444998.50, 52.224780 }, //29 January 1982, UT1-UTC=-0.0407796, Accumulated Leap Seconds=20 + { 2444999.50, 52.227018 }, //30 January 1982, UT1-UTC=-0.0430177, Accumulated Leap Seconds=20 + { 2445000.50, 52.229328 }, //31 January 1982, UT1-UTC=-0.0453276, Accumulated Leap Seconds=20 + { 2445001.50, 52.231642 }, //01 February 1982, UT1-UTC=-0.0476418, Accumulated Leap Seconds=20 + { 2445002.50, 52.233892 }, //02 February 1982, UT1-UTC=-0.0498919, Accumulated Leap Seconds=20 + { 2445003.50, 52.236025 }, //03 February 1982, UT1-UTC=-0.0520251, Accumulated Leap Seconds=20 + { 2445004.50, 52.238022 }, //04 February 1982, UT1-UTC=-0.0540217, Accumulated Leap Seconds=20 + { 2445005.50, 52.239906 }, //05 February 1982, UT1-UTC=-0.0559059, Accumulated Leap Seconds=20 + { 2445006.50, 52.241742 }, //06 February 1982, UT1-UTC=-0.0577419, Accumulated Leap Seconds=20 + { 2445007.50, 52.243613 }, //07 February 1982, UT1-UTC=-0.0596135, Accumulated Leap Seconds=20 + { 2445008.50, 52.245595 }, //08 February 1982, UT1-UTC=-0.0615946, Accumulated Leap Seconds=20 + { 2445009.50, 52.247724 }, //09 February 1982, UT1-UTC=-0.0637236, Accumulated Leap Seconds=20 + { 2445010.50, 52.249994 }, //10 February 1982, UT1-UTC=-0.0659939, Accumulated Leap Seconds=20 + { 2445011.50, 52.252362 }, //11 February 1982, UT1-UTC=-0.0683618, Accumulated Leap Seconds=20 + { 2445012.50, 52.254766 }, //12 February 1982, UT1-UTC=-0.0707658, Accumulated Leap Seconds=20 + { 2445013.50, 52.257146 }, //13 February 1982, UT1-UTC=-0.0731459, Accumulated Leap Seconds=20 + { 2445014.50, 52.259455 }, //14 February 1982, UT1-UTC=-0.0754554, Accumulated Leap Seconds=20 + { 2445015.50, 52.261665 }, //15 February 1982, UT1-UTC=-0.0776655, Accumulated Leap Seconds=20 + { 2445016.50, 52.263765 }, //16 February 1982, UT1-UTC=-0.0797650, Accumulated Leap Seconds=20 + { 2445017.50, 52.265761 }, //17 February 1982, UT1-UTC=-0.0817608, Accumulated Leap Seconds=20 + { 2445018.50, 52.267676 }, //18 February 1982, UT1-UTC=-0.0836763, Accumulated Leap Seconds=20 + { 2445019.50, 52.269549 }, //19 February 1982, UT1-UTC=-0.0855492, Accumulated Leap Seconds=20 + { 2445020.50, 52.271428 }, //20 February 1982, UT1-UTC=-0.0874278, Accumulated Leap Seconds=20 + { 2445021.50, 52.273367 }, //21 February 1982, UT1-UTC=-0.0893667, Accumulated Leap Seconds=20 + { 2445022.50, 52.275421 }, //22 February 1982, UT1-UTC=-0.0914207, Accumulated Leap Seconds=20 + { 2445023.50, 52.277637 }, //23 February 1982, UT1-UTC=-0.0936370, Accumulated Leap Seconds=20 + { 2445024.50, 52.280044 }, //24 February 1982, UT1-UTC=-0.0960440, Accumulated Leap Seconds=20 + { 2445025.50, 52.282641 }, //25 February 1982, UT1-UTC=-0.0986412, Accumulated Leap Seconds=20 + { 2445026.50, 52.285393 }, //26 February 1982, UT1-UTC=-0.1013933, Accumulated Leap Seconds=20 + { 2445027.50, 52.288234 }, //27 February 1982, UT1-UTC=-0.1042338, Accumulated Leap Seconds=20 + { 2445028.50, 52.291077 }, //28 February 1982, UT1-UTC=-0.1070769, Accumulated Leap Seconds=20 + { 2445029.50, 52.293838 }, //01 March 1982, UT1-UTC=-0.1098376, Accumulated Leap Seconds=20 + { 2445030.50, 52.296453 }, //02 March 1982, UT1-UTC=-0.1124530, Accumulated Leap Seconds=20 + { 2445031.50, 52.298897 }, //03 March 1982, UT1-UTC=-0.1148974, Accumulated Leap Seconds=20 + { 2445032.50, 52.301187 }, //04 March 1982, UT1-UTC=-0.1171872, Accumulated Leap Seconds=20 + { 2445033.50, 52.303376 }, //05 March 1982, UT1-UTC=-0.1193761, Accumulated Leap Seconds=20 + { 2445034.50, 52.305541 }, //06 March 1982, UT1-UTC=-0.1215411, Accumulated Leap Seconds=20 + { 2445035.50, 52.307761 }, //07 March 1982, UT1-UTC=-0.1237611, Accumulated Leap Seconds=20 + { 2445036.50, 52.310091 }, //08 March 1982, UT1-UTC=-0.1260908, Accumulated Leap Seconds=20 + { 2445037.50, 52.312545 }, //09 March 1982, UT1-UTC=-0.1285454, Accumulated Leap Seconds=20 + { 2445038.50, 52.315098 }, //10 March 1982, UT1-UTC=-0.1310981, Accumulated Leap Seconds=20 + { 2445039.50, 52.317693 }, //11 March 1982, UT1-UTC=-0.1336935, Accumulated Leap Seconds=20 + { 2445040.50, 52.320266 }, //12 March 1982, UT1-UTC=-0.1362662, Accumulated Leap Seconds=20 + { 2445041.50, 52.322759 }, //13 March 1982, UT1-UTC=-0.1387587, Accumulated Leap Seconds=20 + { 2445042.50, 52.325131 }, //14 March 1982, UT1-UTC=-0.1411307, Accumulated Leap Seconds=20 + { 2445043.50, 52.327363 }, //15 March 1982, UT1-UTC=-0.1433630, Accumulated Leap Seconds=20 + { 2445044.50, 52.329458 }, //16 March 1982, UT1-UTC=-0.1454582, Accumulated Leap Seconds=20 + { 2445045.50, 52.331439 }, //17 March 1982, UT1-UTC=-0.1474387, Accumulated Leap Seconds=20 + { 2445046.50, 52.333344 }, //18 March 1982, UT1-UTC=-0.1493436, Accumulated Leap Seconds=20 + { 2445047.50, 52.335224 }, //19 March 1982, UT1-UTC=-0.1512237, Accumulated Leap Seconds=20 + { 2445048.50, 52.337135 }, //20 March 1982, UT1-UTC=-0.1531353, Accumulated Leap Seconds=20 + { 2445049.50, 52.339136 }, //21 March 1982, UT1-UTC=-0.1551361, Accumulated Leap Seconds=20 + { 2445050.50, 52.341281 }, //22 March 1982, UT1-UTC=-0.1572808, Accumulated Leap Seconds=20 + { 2445051.50, 52.343614 }, //23 March 1982, UT1-UTC=-0.1596140, Accumulated Leap Seconds=20 + { 2445052.50, 52.346158 }, //24 March 1982, UT1-UTC=-0.1621584, Accumulated Leap Seconds=20 + { 2445053.50, 52.348902 }, //25 March 1982, UT1-UTC=-0.1649019, Accumulated Leap Seconds=20 + { 2445054.50, 52.351791 }, //26 March 1982, UT1-UTC=-0.1677915, Accumulated Leap Seconds=20 + { 2445055.50, 52.354741 }, //27 March 1982, UT1-UTC=-0.1707415, Accumulated Leap Seconds=20 + { 2445056.50, 52.357655 }, //28 March 1982, UT1-UTC=-0.1736550, Accumulated Leap Seconds=20 + { 2445057.50, 52.360453 }, //29 March 1982, UT1-UTC=-0.1764527, Accumulated Leap Seconds=20 + { 2445058.50, 52.363095 }, //30 March 1982, UT1-UTC=-0.1790950, Accumulated Leap Seconds=20 + { 2445059.50, 52.365590 }, //31 March 1982, UT1-UTC=-0.1815903, Accumulated Leap Seconds=20 + { 2445060.50, 52.367990 }, //01 April 1982, UT1-UTC=-0.1839897, Accumulated Leap Seconds=20 + { 2445061.50, 52.370369 }, //02 April 1982, UT1-UTC=-0.1863689, Accumulated Leap Seconds=20 + { 2445062.50, 52.372806 }, //03 April 1982, UT1-UTC=-0.1888058, Accumulated Leap Seconds=20 + { 2445063.50, 52.375359 }, //04 April 1982, UT1-UTC=-0.1913588, Accumulated Leap Seconds=20 + { 2445064.50, 52.378053 }, //05 April 1982, UT1-UTC=-0.1940531, Accumulated Leap Seconds=20 + { 2445065.50, 52.380875 }, //06 April 1982, UT1-UTC=-0.1968752, Accumulated Leap Seconds=20 + { 2445066.50, 52.383779 }, //07 April 1982, UT1-UTC=-0.1997791, Accumulated Leap Seconds=20 + { 2445067.50, 52.386700 }, //08 April 1982, UT1-UTC=-0.2027005, Accumulated Leap Seconds=20 + { 2445068.50, 52.389574 }, //09 April 1982, UT1-UTC=-0.2055739, Accumulated Leap Seconds=20 + { 2445069.50, 52.392345 }, //10 April 1982, UT1-UTC=-0.2083455, Accumulated Leap Seconds=20 + { 2445070.50, 52.394981 }, //11 April 1982, UT1-UTC=-0.2109809, Accumulated Leap Seconds=20 + { 2445071.50, 52.397467 }, //12 April 1982, UT1-UTC=-0.2134670, Accumulated Leap Seconds=20 + { 2445072.50, 52.399812 }, //13 April 1982, UT1-UTC=-0.2158123, Accumulated Leap Seconds=20 + { 2445073.50, 52.402046 }, //14 April 1982, UT1-UTC=-0.2180457, Accumulated Leap Seconds=20 + { 2445074.50, 52.404213 }, //15 April 1982, UT1-UTC=-0.2202126, Accumulated Leap Seconds=20 + { 2445075.50, 52.406368 }, //16 April 1982, UT1-UTC=-0.2223681, Accumulated Leap Seconds=20 + { 2445076.50, 52.408570 }, //17 April 1982, UT1-UTC=-0.2245697, Accumulated Leap Seconds=20 + { 2445077.50, 52.410874 }, //18 April 1982, UT1-UTC=-0.2268738, Accumulated Leap Seconds=20 + { 2445078.50, 52.413331 }, //19 April 1982, UT1-UTC=-0.2293305, Accumulated Leap Seconds=20 + { 2445079.50, 52.415977 }, //20 April 1982, UT1-UTC=-0.2319768, Accumulated Leap Seconds=20 + { 2445080.50, 52.418824 }, //21 April 1982, UT1-UTC=-0.2348241, Accumulated Leap Seconds=20 + { 2445081.50, 52.421845 }, //22 April 1982, UT1-UTC=-0.2378448, Accumulated Leap Seconds=20 + { 2445082.50, 52.424969 }, //23 April 1982, UT1-UTC=-0.2409687, Accumulated Leap Seconds=20 + { 2445083.50, 52.428095 }, //24 April 1982, UT1-UTC=-0.2440945, Accumulated Leap Seconds=20 + { 2445084.50, 52.431119 }, //25 April 1982, UT1-UTC=-0.2471189, Accumulated Leap Seconds=20 + { 2445085.50, 52.433970 }, //26 April 1982, UT1-UTC=-0.2499699, Accumulated Leap Seconds=20 + { 2445086.50, 52.436630 }, //27 April 1982, UT1-UTC=-0.2526301, Accumulated Leap Seconds=20 + { 2445087.50, 52.439138 }, //28 April 1982, UT1-UTC=-0.2551382, Accumulated Leap Seconds=20 + { 2445088.50, 52.441570 }, //29 April 1982, UT1-UTC=-0.2575703, Accumulated Leap Seconds=20 + { 2445089.50, 52.444010 }, //30 April 1982, UT1-UTC=-0.2600099, Accumulated Leap Seconds=20 + { 2445090.50, 52.446522 }, //01 May 1982, UT1-UTC=-0.2625221, Accumulated Leap Seconds=20 + { 2445091.50, 52.449138 }, //02 May 1982, UT1-UTC=-0.2651383, Accumulated Leap Seconds=20 + { 2445092.50, 52.451853 }, //03 May 1982, UT1-UTC=-0.2678529, Accumulated Leap Seconds=20 + { 2445093.50, 52.454629 }, //04 May 1982, UT1-UTC=-0.2706294, Accumulated Leap Seconds=20 + { 2445094.50, 52.457412 }, //05 May 1982, UT1-UTC=-0.2734116, Accumulated Leap Seconds=20 + { 2445095.50, 52.460137 }, //06 May 1982, UT1-UTC=-0.2761374, Accumulated Leap Seconds=20 + { 2445096.50, 52.462751 }, //07 May 1982, UT1-UTC=-0.2787506, Accumulated Leap Seconds=20 + { 2445097.50, 52.465209 }, //08 May 1982, UT1-UTC=-0.2812091, Accumulated Leap Seconds=20 + { 2445098.50, 52.467492 }, //09 May 1982, UT1-UTC=-0.2834916, Accumulated Leap Seconds=20 + { 2445099.50, 52.469598 }, //10 May 1982, UT1-UTC=-0.2855978, Accumulated Leap Seconds=20 + { 2445100.50, 52.471548 }, //11 May 1982, UT1-UTC=-0.2875484, Accumulated Leap Seconds=20 + { 2445101.50, 52.473383 }, //12 May 1982, UT1-UTC=-0.2893827, Accumulated Leap Seconds=20 + { 2445102.50, 52.475155 }, //13 May 1982, UT1-UTC=-0.2911547, Accumulated Leap Seconds=20 + { 2445103.50, 52.476923 }, //14 May 1982, UT1-UTC=-0.2929234, Accumulated Leap Seconds=20 + { 2445104.50, 52.478747 }, //15 May 1982, UT1-UTC=-0.2947468, Accumulated Leap Seconds=20 + { 2445105.50, 52.480677 }, //16 May 1982, UT1-UTC=-0.2966775, Accumulated Leap Seconds=20 + { 2445106.50, 52.482758 }, //17 May 1982, UT1-UTC=-0.2987583, Accumulated Leap Seconds=20 + { 2445107.50, 52.485016 }, //18 May 1982, UT1-UTC=-0.3010159, Accumulated Leap Seconds=20 + { 2445108.50, 52.487450 }, //19 May 1982, UT1-UTC=-0.3034504, Accumulated Leap Seconds=20 + { 2445109.50, 52.490024 }, //20 May 1982, UT1-UTC=-0.3060244, Accumulated Leap Seconds=20 + { 2445110.50, 52.492661 }, //21 May 1982, UT1-UTC=-0.3086614, Accumulated Leap Seconds=20 + { 2445111.50, 52.495262 }, //22 May 1982, UT1-UTC=-0.3112621, Accumulated Leap Seconds=20 + { 2445112.50, 52.497737 }, //23 May 1982, UT1-UTC=-0.3137372, Accumulated Leap Seconds=20 + { 2445113.50, 52.500040 }, //24 May 1982, UT1-UTC=-0.3160402, Accumulated Leap Seconds=20 + { 2445114.50, 52.502184 }, //25 May 1982, UT1-UTC=-0.3181844, Accumulated Leap Seconds=20 + { 2445115.50, 52.504236 }, //26 May 1982, UT1-UTC=-0.3202362, Accumulated Leap Seconds=20 + { 2445116.50, 52.506286 }, //27 May 1982, UT1-UTC=-0.3222861, Accumulated Leap Seconds=20 + { 2445117.50, 52.508413 }, //28 May 1982, UT1-UTC=-0.3244133, Accumulated Leap Seconds=20 + { 2445118.50, 52.510661 }, //29 May 1982, UT1-UTC=-0.3266607, Accumulated Leap Seconds=20 + { 2445119.50, 52.513027 }, //30 May 1982, UT1-UTC=-0.3290274, Accumulated Leap Seconds=20 + { 2445120.50, 52.515477 }, //31 May 1982, UT1-UTC=-0.3314775, Accumulated Leap Seconds=20 + { 2445121.50, 52.517955 }, //01 June 1982, UT1-UTC=-0.3339552, Accumulated Leap Seconds=20 + { 2445122.50, 52.520401 }, //02 June 1982, UT1-UTC=-0.3364009, Accumulated Leap Seconds=20 + { 2445123.50, 52.522760 }, //03 June 1982, UT1-UTC=-0.3387603, Accumulated Leap Seconds=20 + { 2445124.50, 52.524992 }, //04 June 1982, UT1-UTC=-0.3409918, Accumulated Leap Seconds=20 + { 2445125.50, 52.527070 }, //05 June 1982, UT1-UTC=-0.3430701, Accumulated Leap Seconds=20 + { 2445126.50, 52.528988 }, //06 June 1982, UT1-UTC=-0.3449881, Accumulated Leap Seconds=20 + { 2445127.50, 52.530758 }, //07 June 1982, UT1-UTC=-0.3467581, Accumulated Leap Seconds=20 + { 2445128.50, 52.532411 }, //08 June 1982, UT1-UTC=-0.3484110, Accumulated Leap Seconds=20 + { 2445129.50, 52.533992 }, //09 June 1982, UT1-UTC=-0.3499924, Accumulated Leap Seconds=20 + { 2445130.50, 52.535556 }, //10 June 1982, UT1-UTC=-0.3515560, Accumulated Leap Seconds=20 + { 2445131.50, 52.537156 }, //11 June 1982, UT1-UTC=-0.3531558, Accumulated Leap Seconds=20 + { 2445132.50, 52.538839 }, //12 June 1982, UT1-UTC=-0.3548392, Accumulated Leap Seconds=20 + { 2445133.50, 52.540642 }, //13 June 1982, UT1-UTC=-0.3566418, Accumulated Leap Seconds=20 + { 2445134.50, 52.542585 }, //14 June 1982, UT1-UTC=-0.3585851, Accumulated Leap Seconds=20 + { 2445135.50, 52.544672 }, //15 June 1982, UT1-UTC=-0.3606721, Accumulated Leap Seconds=20 + { 2445136.50, 52.546881 }, //16 June 1982, UT1-UTC=-0.3628807, Accumulated Leap Seconds=20 + { 2445137.50, 52.549157 }, //17 June 1982, UT1-UTC=-0.3651570, Accumulated Leap Seconds=20 + { 2445138.50, 52.551422 }, //18 June 1982, UT1-UTC=-0.3674218, Accumulated Leap Seconds=20 + { 2445139.50, 52.553597 }, //19 June 1982, UT1-UTC=-0.3695967, Accumulated Leap Seconds=20 + { 2445140.50, 52.555622 }, //20 June 1982, UT1-UTC=-0.3716219, Accumulated Leap Seconds=20 + { 2445141.50, 52.557470 }, //21 June 1982, UT1-UTC=-0.3734702, Accumulated Leap Seconds=20 + { 2445142.50, 52.559167 }, //22 June 1982, UT1-UTC=-0.3751668, Accumulated Leap Seconds=20 + { 2445143.50, 52.560789 }, //23 June 1982, UT1-UTC=-0.3767885, Accumulated Leap Seconds=20 + { 2445144.50, 52.562429 }, //24 June 1982, UT1-UTC=-0.3784291, Accumulated Leap Seconds=20 + { 2445145.50, 52.564156 }, //25 June 1982, UT1-UTC=-0.3801559, Accumulated Leap Seconds=20 + { 2445146.50, 52.565987 }, //26 June 1982, UT1-UTC=-0.3819872, Accumulated Leap Seconds=20 + { 2445147.50, 52.567895 }, //27 June 1982, UT1-UTC=-0.3838948, Accumulated Leap Seconds=20 + { 2445148.50, 52.569822 }, //28 June 1982, UT1-UTC=-0.3858222, Accumulated Leap Seconds=20 + { 2445149.50, 52.571707 }, //29 June 1982, UT1-UTC=-0.3877067, Accumulated Leap Seconds=20 + { 2445150.50, 52.573494 }, //30 June 1982, UT1-UTC=-0.3894945, Accumulated Leap Seconds=20 + { 2445151.50, 52.575148 }, //01 July 1982, UT1-UTC= 0.6088515, Accumulated Leap Seconds=21 + { 2445152.50, 52.576648 }, //02 July 1982, UT1-UTC= 0.6073515, Accumulated Leap Seconds=21 + { 2445153.50, 52.577991 }, //03 July 1982, UT1-UTC= 0.6060085, Accumulated Leap Seconds=21 + { 2445154.50, 52.579191 }, //04 July 1982, UT1-UTC= 0.6048090, Accumulated Leap Seconds=21 + { 2445155.50, 52.580276 }, //05 July 1982, UT1-UTC= 0.6037236, Accumulated Leap Seconds=21 + { 2445156.50, 52.581291 }, //06 July 1982, UT1-UTC= 0.6027089, Accumulated Leap Seconds=21 + { 2445157.50, 52.582288 }, //07 July 1982, UT1-UTC= 0.6017119, Accumulated Leap Seconds=21 + { 2445158.50, 52.583323 }, //08 July 1982, UT1-UTC= 0.6006769, Accumulated Leap Seconds=21 + { 2445159.50, 52.584446 }, //09 July 1982, UT1-UTC= 0.5995535, Accumulated Leap Seconds=21 + { 2445160.50, 52.585696 }, //10 July 1982, UT1-UTC= 0.5983043, Accumulated Leap Seconds=21 + { 2445161.50, 52.587091 }, //11 July 1982, UT1-UTC= 0.5969092, Accumulated Leap Seconds=21 + { 2445162.50, 52.588632 }, //12 July 1982, UT1-UTC= 0.5953676, Accumulated Leap Seconds=21 + { 2445163.50, 52.590301 }, //13 July 1982, UT1-UTC= 0.5936992, Accumulated Leap Seconds=21 + { 2445164.50, 52.592054 }, //14 July 1982, UT1-UTC= 0.5919461, Accumulated Leap Seconds=21 + { 2445165.50, 52.593829 }, //15 July 1982, UT1-UTC= 0.5901712, Accumulated Leap Seconds=21 + { 2445166.50, 52.595550 }, //16 July 1982, UT1-UTC= 0.5884504, Accumulated Leap Seconds=21 + { 2445167.50, 52.597147 }, //17 July 1982, UT1-UTC= 0.5868530, Accumulated Leap Seconds=21 + { 2445168.50, 52.598584 }, //18 July 1982, UT1-UTC= 0.5854160, Accumulated Leap Seconds=21 + { 2445169.50, 52.599876 }, //19 July 1982, UT1-UTC= 0.5841239, Accumulated Leap Seconds=21 + { 2445170.50, 52.601091 }, //20 July 1982, UT1-UTC= 0.5829089, Accumulated Leap Seconds=21 + { 2445171.50, 52.602325 }, //21 July 1982, UT1-UTC= 0.5816746, Accumulated Leap Seconds=21 + { 2445172.50, 52.603665 }, //22 July 1982, UT1-UTC= 0.5803349, Accumulated Leap Seconds=21 + { 2445173.50, 52.605153 }, //23 July 1982, UT1-UTC= 0.5788473, Accumulated Leap Seconds=21 + { 2445174.50, 52.606775 }, //24 July 1982, UT1-UTC= 0.5772252, Accumulated Leap Seconds=21 + { 2445175.50, 52.608473 }, //25 July 1982, UT1-UTC= 0.5755268, Accumulated Leap Seconds=21 + { 2445176.50, 52.610170 }, //26 July 1982, UT1-UTC= 0.5738299, Accumulated Leap Seconds=21 + { 2445177.50, 52.611793 }, //27 July 1982, UT1-UTC= 0.5722068, Accumulated Leap Seconds=21 + { 2445178.50, 52.613291 }, //28 July 1982, UT1-UTC= 0.5707089, Accumulated Leap Seconds=21 + { 2445179.50, 52.614637 }, //29 July 1982, UT1-UTC= 0.5693632, Accumulated Leap Seconds=21 + { 2445180.50, 52.615825 }, //30 July 1982, UT1-UTC= 0.5681748, Accumulated Leap Seconds=21 + { 2445181.50, 52.616870 }, //31 July 1982, UT1-UTC= 0.5671299, Accumulated Leap Seconds=21 + { 2445182.50, 52.617801 }, //01 August 1982, UT1-UTC= 0.5661988, Accumulated Leap Seconds=21 + { 2445183.50, 52.618661 }, //02 August 1982, UT1-UTC= 0.5653387, Accumulated Leap Seconds=21 + { 2445184.50, 52.619502 }, //03 August 1982, UT1-UTC= 0.5644976, Accumulated Leap Seconds=21 + { 2445185.50, 52.620381 }, //04 August 1982, UT1-UTC= 0.5636194, Accumulated Leap Seconds=21 + { 2445186.50, 52.621351 }, //05 August 1982, UT1-UTC= 0.5626487, Accumulated Leap Seconds=21 + { 2445187.50, 52.622460 }, //06 August 1982, UT1-UTC= 0.5615404, Accumulated Leap Seconds=21 + { 2445188.50, 52.623733 }, //07 August 1982, UT1-UTC= 0.5602669, Accumulated Leap Seconds=21 + { 2445189.50, 52.625177 }, //08 August 1982, UT1-UTC= 0.5588232, Accumulated Leap Seconds=21 + { 2445190.50, 52.626771 }, //09 August 1982, UT1-UTC= 0.5572292, Accumulated Leap Seconds=21 + { 2445191.50, 52.628473 }, //10 August 1982, UT1-UTC= 0.5555270, Accumulated Leap Seconds=21 + { 2445192.50, 52.630225 }, //11 August 1982, UT1-UTC= 0.5537746, Accumulated Leap Seconds=21 + { 2445193.50, 52.631963 }, //12 August 1982, UT1-UTC= 0.5520367, Accumulated Leap Seconds=21 + { 2445194.50, 52.633627 }, //13 August 1982, UT1-UTC= 0.5503727, Accumulated Leap Seconds=21 + { 2445195.50, 52.635181 }, //14 August 1982, UT1-UTC= 0.5488185, Accumulated Leap Seconds=21 + { 2445196.50, 52.636629 }, //15 August 1982, UT1-UTC= 0.5473707, Accumulated Leap Seconds=21 + { 2445197.50, 52.638021 }, //16 August 1982, UT1-UTC= 0.5459791, Accumulated Leap Seconds=21 + { 2445198.50, 52.639442 }, //17 August 1982, UT1-UTC= 0.5445579, Accumulated Leap Seconds=21 + { 2445199.50, 52.640987 }, //18 August 1982, UT1-UTC= 0.5430131, Accumulated Leap Seconds=21 + { 2445200.50, 52.642721 }, //19 August 1982, UT1-UTC= 0.5412787, Accumulated Leap Seconds=21 + { 2445201.50, 52.644659 }, //20 August 1982, UT1-UTC= 0.5393408, Accumulated Leap Seconds=21 + { 2445202.50, 52.646759 }, //21 August 1982, UT1-UTC= 0.5372407, Accumulated Leap Seconds=21 + { 2445203.50, 52.648942 }, //22 August 1982, UT1-UTC= 0.5350577, Accumulated Leap Seconds=21 + { 2445204.50, 52.651120 }, //23 August 1982, UT1-UTC= 0.5328798, Accumulated Leap Seconds=21 + { 2445205.50, 52.653221 }, //24 August 1982, UT1-UTC= 0.5307793, Accumulated Leap Seconds=21 + { 2445206.50, 52.655200 }, //25 August 1982, UT1-UTC= 0.5288002, Accumulated Leap Seconds=21 + { 2445207.50, 52.657042 }, //26 August 1982, UT1-UTC= 0.5269575, Accumulated Leap Seconds=21 + { 2445208.50, 52.658758 }, //27 August 1982, UT1-UTC= 0.5252420, Accumulated Leap Seconds=21 + { 2445209.50, 52.660375 }, //28 August 1982, UT1-UTC= 0.5236252, Accumulated Leap Seconds=21 + { 2445210.50, 52.661936 }, //29 August 1982, UT1-UTC= 0.5220644, Accumulated Leap Seconds=21 + { 2445211.50, 52.663492 }, //30 August 1982, UT1-UTC= 0.5205077, Accumulated Leap Seconds=21 + { 2445212.50, 52.665101 }, //31 August 1982, UT1-UTC= 0.5188991, Accumulated Leap Seconds=21 + { 2445213.50, 52.666816 }, //01 September 1982, UT1-UTC= 0.5171840, Accumulated Leap Seconds=21 + { 2445214.50, 52.668685 }, //02 September 1982, UT1-UTC= 0.5153154, Accumulated Leap Seconds=21 + { 2445215.50, 52.670739 }, //03 September 1982, UT1-UTC= 0.5132613, Accumulated Leap Seconds=21 + { 2445216.50, 52.672988 }, //04 September 1982, UT1-UTC= 0.5110124, Accumulated Leap Seconds=21 + { 2445217.50, 52.675411 }, //05 September 1982, UT1-UTC= 0.5085886, Accumulated Leap Seconds=21 + { 2445218.50, 52.677960 }, //06 September 1982, UT1-UTC= 0.5060400, Accumulated Leap Seconds=21 + { 2445219.50, 52.680561 }, //07 September 1982, UT1-UTC= 0.5034385, Accumulated Leap Seconds=21 + { 2445220.50, 52.683137 }, //08 September 1982, UT1-UTC= 0.5008627, Accumulated Leap Seconds=21 + { 2445221.50, 52.685619 }, //09 September 1982, UT1-UTC= 0.4983814, Accumulated Leap Seconds=21 + { 2445222.50, 52.687962 }, //10 September 1982, UT1-UTC= 0.4960381, Accumulated Leap Seconds=21 + { 2445223.50, 52.690162 }, //11 September 1982, UT1-UTC= 0.4938382, Accumulated Leap Seconds=21 + { 2445224.50, 52.692253 }, //12 September 1982, UT1-UTC= 0.4917474, Accumulated Leap Seconds=21 + { 2445225.50, 52.694302 }, //13 September 1982, UT1-UTC= 0.4896977, Accumulated Leap Seconds=21 + { 2445226.50, 52.696393 }, //14 September 1982, UT1-UTC= 0.4876067, Accumulated Leap Seconds=21 + { 2445227.50, 52.698597 }, //15 September 1982, UT1-UTC= 0.4854026, Accumulated Leap Seconds=21 + { 2445228.50, 52.700959 }, //16 September 1982, UT1-UTC= 0.4830409, Accumulated Leap Seconds=21 + { 2445229.50, 52.703473 }, //17 September 1982, UT1-UTC= 0.4805269, Accumulated Leap Seconds=21 + { 2445230.50, 52.706084 }, //18 September 1982, UT1-UTC= 0.4779157, Accumulated Leap Seconds=21 + { 2445231.50, 52.708710 }, //19 September 1982, UT1-UTC= 0.4752903, Accumulated Leap Seconds=21 + { 2445232.50, 52.711267 }, //20 September 1982, UT1-UTC= 0.4727328, Accumulated Leap Seconds=21 + { 2445233.50, 52.713694 }, //21 September 1982, UT1-UTC= 0.4703058, Accumulated Leap Seconds=21 + { 2445234.50, 52.715959 }, //22 September 1982, UT1-UTC= 0.4680406, Accumulated Leap Seconds=21 + { 2445235.50, 52.718062 }, //23 September 1982, UT1-UTC= 0.4659380, Accumulated Leap Seconds=21 + { 2445236.50, 52.720025 }, //24 September 1982, UT1-UTC= 0.4639747, Accumulated Leap Seconds=21 + { 2445237.50, 52.721891 }, //25 September 1982, UT1-UTC= 0.4621090, Accumulated Leap Seconds=21 + { 2445238.50, 52.723712 }, //26 September 1982, UT1-UTC= 0.4602881, Accumulated Leap Seconds=21 + { 2445239.50, 52.725545 }, //27 September 1982, UT1-UTC= 0.4584548, Accumulated Leap Seconds=21 + { 2445240.50, 52.727448 }, //28 September 1982, UT1-UTC= 0.4565524, Accumulated Leap Seconds=21 + { 2445241.50, 52.729469 }, //29 September 1982, UT1-UTC= 0.4545311, Accumulated Leap Seconds=21 + { 2445242.50, 52.731647 }, //30 September 1982, UT1-UTC= 0.4523526, Accumulated Leap Seconds=21 + { 2445243.50, 52.734004 }, //01 October 1982, UT1-UTC= 0.4499964, Accumulated Leap Seconds=21 + { 2445244.50, 52.736532 }, //02 October 1982, UT1-UTC= 0.4474676, Accumulated Leap Seconds=21 + { 2445245.50, 52.739197 }, //03 October 1982, UT1-UTC= 0.4448034, Accumulated Leap Seconds=21 + { 2445246.50, 52.741927 }, //04 October 1982, UT1-UTC= 0.4420726, Accumulated Leap Seconds=21 + { 2445247.50, 52.744638 }, //05 October 1982, UT1-UTC= 0.4393619, Accumulated Leap Seconds=21 + { 2445248.50, 52.747245 }, //06 October 1982, UT1-UTC= 0.4367550, Accumulated Leap Seconds=21 + { 2445249.50, 52.749692 }, //07 October 1982, UT1-UTC= 0.4343079, Accumulated Leap Seconds=21 + { 2445250.50, 52.751968 }, //08 October 1982, UT1-UTC= 0.4320322, Accumulated Leap Seconds=21 + { 2445251.50, 52.754108 }, //09 October 1982, UT1-UTC= 0.4298920, Accumulated Leap Seconds=21 + { 2445252.50, 52.756185 }, //10 October 1982, UT1-UTC= 0.4278149, Accumulated Leap Seconds=21 + { 2445253.50, 52.758287 }, //11 October 1982, UT1-UTC= 0.4257127, Accumulated Leap Seconds=21 + { 2445254.50, 52.760495 }, //12 October 1982, UT1-UTC= 0.4235055, Accumulated Leap Seconds=21 + { 2445255.50, 52.762856 }, //13 October 1982, UT1-UTC= 0.4211443, Accumulated Leap Seconds=21 + { 2445256.50, 52.765376 }, //14 October 1982, UT1-UTC= 0.4186240, Accumulated Leap Seconds=21 + { 2445257.50, 52.768015 }, //15 October 1982, UT1-UTC= 0.4159852, Accumulated Leap Seconds=21 + { 2445258.50, 52.770698 }, //16 October 1982, UT1-UTC= 0.4133022, Accumulated Leap Seconds=21 + { 2445259.50, 52.773339 }, //17 October 1982, UT1-UTC= 0.4106613, Accumulated Leap Seconds=21 + { 2445260.50, 52.775861 }, //18 October 1982, UT1-UTC= 0.4081392, Accumulated Leap Seconds=21 + { 2445261.50, 52.778212 }, //19 October 1982, UT1-UTC= 0.4057877, Accumulated Leap Seconds=21 + { 2445262.50, 52.780373 }, //20 October 1982, UT1-UTC= 0.4036267, Accumulated Leap Seconds=21 + { 2445263.50, 52.782356 }, //21 October 1982, UT1-UTC= 0.4016441, Accumulated Leap Seconds=21 + { 2445264.50, 52.784197 }, //22 October 1982, UT1-UTC= 0.3998034, Accumulated Leap Seconds=21 + { 2445265.50, 52.785948 }, //23 October 1982, UT1-UTC= 0.3980519, Accumulated Leap Seconds=21 + { 2445266.50, 52.787672 }, //24 October 1982, UT1-UTC= 0.3963275, Accumulated Leap Seconds=21 + { 2445267.50, 52.789433 }, //25 October 1982, UT1-UTC= 0.3945673, Accumulated Leap Seconds=21 + { 2445268.50, 52.791285 }, //26 October 1982, UT1-UTC= 0.3927147, Accumulated Leap Seconds=21 + { 2445269.50, 52.793276 }, //27 October 1982, UT1-UTC= 0.3907243, Accumulated Leap Seconds=21 + { 2445270.50, 52.795435 }, //28 October 1982, UT1-UTC= 0.3885650, Accumulated Leap Seconds=21 + { 2445271.50, 52.797775 }, //29 October 1982, UT1-UTC= 0.3862246, Accumulated Leap Seconds=21 + { 2445272.50, 52.800283 }, //30 October 1982, UT1-UTC= 0.3837172, Accumulated Leap Seconds=21 + { 2445273.50, 52.802910 }, //31 October 1982, UT1-UTC= 0.3810899, Accumulated Leap Seconds=21 + { 2445274.50, 52.805579 }, //01 November 1982, UT1-UTC= 0.3784208, Accumulated Leap Seconds=21 + { 2445275.50, 52.808198 }, //02 November 1982, UT1-UTC= 0.3758020, Accumulated Leap Seconds=21 + { 2445276.50, 52.810689 }, //03 November 1982, UT1-UTC= 0.3733113, Accumulated Leap Seconds=21 + { 2445277.50, 52.813016 }, //04 November 1982, UT1-UTC= 0.3709844, Accumulated Leap Seconds=21 + { 2445278.50, 52.815199 }, //05 November 1982, UT1-UTC= 0.3688011, Accumulated Leap Seconds=21 + { 2445279.50, 52.817307 }, //06 November 1982, UT1-UTC= 0.3666925, Accumulated Leap Seconds=21 + { 2445280.50, 52.819435 }, //07 November 1982, UT1-UTC= 0.3645653, Accumulated Leap Seconds=21 + { 2445281.50, 52.821667 }, //08 November 1982, UT1-UTC= 0.3623329, Accumulated Leap Seconds=21 + { 2445282.50, 52.824061 }, //09 November 1982, UT1-UTC= 0.3599387, Accumulated Leap Seconds=21 + { 2445283.50, 52.826631 }, //10 November 1982, UT1-UTC= 0.3573693, Accumulated Leap Seconds=21 + { 2445284.50, 52.829345 }, //11 November 1982, UT1-UTC= 0.3546546, Accumulated Leap Seconds=21 + { 2445285.50, 52.832144 }, //12 November 1982, UT1-UTC= 0.3518560, Accumulated Leap Seconds=21 + { 2445286.50, 52.834950 }, //13 November 1982, UT1-UTC= 0.3490498, Accumulated Leap Seconds=21 + { 2445287.50, 52.837690 }, //14 November 1982, UT1-UTC= 0.3463100, Accumulated Leap Seconds=21 + { 2445288.50, 52.840306 }, //15 November 1982, UT1-UTC= 0.3436937, Accumulated Leap Seconds=21 + { 2445289.50, 52.842767 }, //16 November 1982, UT1-UTC= 0.3412326, Accumulated Leap Seconds=21 + { 2445290.50, 52.845069 }, //17 November 1982, UT1-UTC= 0.3389307, Accumulated Leap Seconds=21 + { 2445291.50, 52.847232 }, //18 November 1982, UT1-UTC= 0.3367679, Accumulated Leap Seconds=21 + { 2445292.50, 52.849296 }, //19 November 1982, UT1-UTC= 0.3347043, Accumulated Leap Seconds=21 + { 2445293.50, 52.851314 }, //20 November 1982, UT1-UTC= 0.3326864, Accumulated Leap Seconds=21 + { 2445294.50, 52.853344 }, //21 November 1982, UT1-UTC= 0.3306559, Accumulated Leap Seconds=21 + { 2445295.50, 52.855443 }, //22 November 1982, UT1-UTC= 0.3285572, Accumulated Leap Seconds=21 + { 2445296.50, 52.857655 }, //23 November 1982, UT1-UTC= 0.3263445, Accumulated Leap Seconds=21 + { 2445297.50, 52.860014 }, //24 November 1982, UT1-UTC= 0.3239858, Accumulated Leap Seconds=21 + { 2445298.50, 52.862535 }, //25 November 1982, UT1-UTC= 0.3214646, Accumulated Leap Seconds=21 + { 2445299.50, 52.865217 }, //26 November 1982, UT1-UTC= 0.3187832, Accumulated Leap Seconds=21 + { 2445300.50, 52.868032 }, //27 November 1982, UT1-UTC= 0.3159685, Accumulated Leap Seconds=21 + { 2445301.50, 52.870922 }, //28 November 1982, UT1-UTC= 0.3130776, Accumulated Leap Seconds=21 + { 2445302.50, 52.873806 }, //29 November 1982, UT1-UTC= 0.3101936, Accumulated Leap Seconds=21 + { 2445303.50, 52.876594 }, //30 November 1982, UT1-UTC= 0.3074063, Accumulated Leap Seconds=21 + { 2445304.50, 52.879219 }, //01 December 1982, UT1-UTC= 0.3047811, Accumulated Leap Seconds=21 + { 2445305.50, 52.881669 }, //02 December 1982, UT1-UTC= 0.3023308, Accumulated Leap Seconds=21 + { 2445306.50, 52.883993 }, //03 December 1982, UT1-UTC= 0.3000071, Accumulated Leap Seconds=21 + { 2445307.50, 52.886281 }, //04 December 1982, UT1-UTC= 0.2977185, Accumulated Leap Seconds=21 + { 2445308.50, 52.888635 }, //05 December 1982, UT1-UTC= 0.2953651, Accumulated Leap Seconds=21 + { 2445309.50, 52.891125 }, //06 December 1982, UT1-UTC= 0.2928746, Accumulated Leap Seconds=21 + { 2445310.50, 52.893775 }, //07 December 1982, UT1-UTC= 0.2902250, Accumulated Leap Seconds=21 + { 2445311.50, 52.896557 }, //08 December 1982, UT1-UTC= 0.2874426, Accumulated Leap Seconds=21 + { 2445312.50, 52.899412 }, //09 December 1982, UT1-UTC= 0.2845876, Accumulated Leap Seconds=21 + { 2445313.50, 52.902267 }, //10 December 1982, UT1-UTC= 0.2817327, Accumulated Leap Seconds=21 + { 2445314.50, 52.905054 }, //11 December 1982, UT1-UTC= 0.2789457, Accumulated Leap Seconds=21 + { 2445315.50, 52.907722 }, //12 December 1982, UT1-UTC= 0.2762783, Accumulated Leap Seconds=21 + { 2445316.50, 52.910240 }, //13 December 1982, UT1-UTC= 0.2737600, Accumulated Leap Seconds=21 + { 2445317.50, 52.912603 }, //14 December 1982, UT1-UTC= 0.2713973, Accumulated Leap Seconds=21 + { 2445318.50, 52.914826 }, //15 December 1982, UT1-UTC= 0.2691743, Accumulated Leap Seconds=21 + { 2445319.50, 52.916944 }, //16 December 1982, UT1-UTC= 0.2670564, Accumulated Leap Seconds=21 + { 2445320.50, 52.919005 }, //17 December 1982, UT1-UTC= 0.2649953, Accumulated Leap Seconds=21 + { 2445321.50, 52.921062 }, //18 December 1982, UT1-UTC= 0.2629377, Accumulated Leap Seconds=21 + { 2445322.50, 52.923169 }, //19 December 1982, UT1-UTC= 0.2608307, Accumulated Leap Seconds=21 + { 2445323.50, 52.925372 }, //20 December 1982, UT1-UTC= 0.2586284, Accumulated Leap Seconds=21 + { 2445324.50, 52.927703 }, //21 December 1982, UT1-UTC= 0.2562967, Accumulated Leap Seconds=21 + { 2445325.50, 52.930182 }, //22 December 1982, UT1-UTC= 0.2538178, Accumulated Leap Seconds=21 + { 2445326.50, 52.932809 }, //23 December 1982, UT1-UTC= 0.2511908, Accumulated Leap Seconds=21 + { 2445327.50, 52.935567 }, //24 December 1982, UT1-UTC= 0.2484329, Accumulated Leap Seconds=21 + { 2445328.50, 52.938417 }, //25 December 1982, UT1-UTC= 0.2455832, Accumulated Leap Seconds=21 + { 2445329.50, 52.941296 }, //26 December 1982, UT1-UTC= 0.2427042, Accumulated Leap Seconds=21 + { 2445330.50, 52.944125 }, //27 December 1982, UT1-UTC= 0.2398746, Accumulated Leap Seconds=21 + { 2445331.50, 52.946832 }, //28 December 1982, UT1-UTC= 0.2371677, Accumulated Leap Seconds=21 + { 2445332.50, 52.949378 }, //29 December 1982, UT1-UTC= 0.2346222, Accumulated Leap Seconds=21 + { 2445333.50, 52.951780 }, //30 December 1982, UT1-UTC= 0.2322199, Accumulated Leap Seconds=21 + { 2445334.50, 52.954114 }, //31 December 1982, UT1-UTC= 0.2298861, Accumulated Leap Seconds=21 + { 2445335.50, 52.956484 }, //01 January 1983, UT1-UTC= 0.2275162, Accumulated Leap Seconds=21 + { 2445336.50, 52.958983 }, //02 January 1983, UT1-UTC= 0.2250174, Accumulated Leap Seconds=21 + { 2445337.50, 52.961655 }, //03 January 1983, UT1-UTC= 0.2223447, Accumulated Leap Seconds=21 + { 2445338.50, 52.964487 }, //04 January 1983, UT1-UTC= 0.2195132, Accumulated Leap Seconds=21 + { 2445339.50, 52.967414 }, //05 January 1983, UT1-UTC= 0.2165864, Accumulated Leap Seconds=21 + { 2445340.50, 52.970352 }, //06 January 1983, UT1-UTC= 0.2136481, Accumulated Leap Seconds=21 + { 2445341.50, 52.973224 }, //07 January 1983, UT1-UTC= 0.2107756, Accumulated Leap Seconds=21 + { 2445342.50, 52.975976 }, //08 January 1983, UT1-UTC= 0.2080235, Accumulated Leap Seconds=21 + { 2445343.50, 52.978582 }, //09 January 1983, UT1-UTC= 0.2054182, Accumulated Leap Seconds=21 + { 2445344.50, 52.981040 }, //10 January 1983, UT1-UTC= 0.2029598, Accumulated Leap Seconds=21 + { 2445345.50, 52.983372 }, //11 January 1983, UT1-UTC= 0.2006275, Accumulated Leap Seconds=21 + { 2445346.50, 52.985616 }, //12 January 1983, UT1-UTC= 0.1983841, Accumulated Leap Seconds=21 + { 2445347.50, 52.987819 }, //13 January 1983, UT1-UTC= 0.1961809, Accumulated Leap Seconds=21 + { 2445348.50, 52.990039 }, //14 January 1983, UT1-UTC= 0.1939612, Accumulated Leap Seconds=21 + { 2445349.50, 52.992333 }, //15 January 1983, UT1-UTC= 0.1916668, Accumulated Leap Seconds=21 + { 2445350.50, 52.994754 }, //16 January 1983, UT1-UTC= 0.1892461, Accumulated Leap Seconds=21 + { 2445351.50, 52.997340 }, //17 January 1983, UT1-UTC= 0.1866602, Accumulated Leap Seconds=21 + { 2445352.50, 53.000111 }, //18 January 1983, UT1-UTC= 0.1838891, Accumulated Leap Seconds=21 + { 2445353.50, 53.003067 }, //19 January 1983, UT1-UTC= 0.1809333, Accumulated Leap Seconds=21 + { 2445354.50, 53.006187 }, //20 January 1983, UT1-UTC= 0.1778134, Accumulated Leap Seconds=21 + { 2445355.50, 53.009432 }, //21 January 1983, UT1-UTC= 0.1745679, Accumulated Leap Seconds=21 + { 2445356.50, 53.012748 }, //22 January 1983, UT1-UTC= 0.1712518, Accumulated Leap Seconds=21 + { 2445357.50, 53.016067 }, //23 January 1983, UT1-UTC= 0.1679328, Accumulated Leap Seconds=21 + { 2445358.50, 53.019319 }, //24 January 1983, UT1-UTC= 0.1646808, Accumulated Leap Seconds=21 + { 2445359.50, 53.022452 }, //25 January 1983, UT1-UTC= 0.1615482, Accumulated Leap Seconds=21 + { 2445360.50, 53.025455 }, //26 January 1983, UT1-UTC= 0.1585450, Accumulated Leap Seconds=21 + { 2445361.50, 53.028375 }, //27 January 1983, UT1-UTC= 0.1556253, Accumulated Leap Seconds=21 + { 2445362.50, 53.031301 }, //28 January 1983, UT1-UTC= 0.1526985, Accumulated Leap Seconds=21 + { 2445363.50, 53.034338 }, //29 January 1983, UT1-UTC= 0.1496624, Accumulated Leap Seconds=21 + { 2445364.50, 53.037554 }, //30 January 1983, UT1-UTC= 0.1464464, Accumulated Leap Seconds=21 + { 2445365.50, 53.040959 }, //31 January 1983, UT1-UTC= 0.1430413, Accumulated Leap Seconds=21 + { 2445366.50, 53.044497 }, //01 February 1983, UT1-UTC= 0.1395029, Accumulated Leap Seconds=21 + { 2445367.50, 53.048071 }, //02 February 1983, UT1-UTC= 0.1359290, Accumulated Leap Seconds=21 + { 2445368.50, 53.051576 }, //03 February 1983, UT1-UTC= 0.1324243, Accumulated Leap Seconds=21 + { 2445369.50, 53.054928 }, //04 February 1983, UT1-UTC= 0.1290716, Accumulated Leap Seconds=21 + { 2445370.50, 53.058082 }, //05 February 1983, UT1-UTC= 0.1259177, Accumulated Leap Seconds=21 + { 2445371.50, 53.061025 }, //06 February 1983, UT1-UTC= 0.1229750, Accumulated Leap Seconds=21 + { 2445372.50, 53.063771 }, //07 February 1983, UT1-UTC= 0.1202285, Accumulated Leap Seconds=21 + { 2445373.50, 53.066356 }, //08 February 1983, UT1-UTC= 0.1176439, Accumulated Leap Seconds=21 + { 2445374.50, 53.068826 }, //09 February 1983, UT1-UTC= 0.1151739, Accumulated Leap Seconds=21 + { 2445375.50, 53.071238 }, //10 February 1983, UT1-UTC= 0.1127618, Accumulated Leap Seconds=21 + { 2445376.50, 53.073652 }, //11 February 1983, UT1-UTC= 0.1103476, Accumulated Leap Seconds=21 + { 2445377.50, 53.076126 }, //12 February 1983, UT1-UTC= 0.1078737, Accumulated Leap Seconds=21 + { 2445378.50, 53.078706 }, //13 February 1983, UT1-UTC= 0.1052937, Accumulated Leap Seconds=21 + { 2445379.50, 53.081421 }, //14 February 1983, UT1-UTC= 0.1025785, Accumulated Leap Seconds=21 + { 2445380.50, 53.084280 }, //15 February 1983, UT1-UTC= 0.0997205, Accumulated Leap Seconds=21 + { 2445381.50, 53.087264 }, //16 February 1983, UT1-UTC= 0.0967356, Accumulated Leap Seconds=21 + { 2445382.50, 53.090341 }, //17 February 1983, UT1-UTC= 0.0936592, Accumulated Leap Seconds=21 + { 2445383.50, 53.093459 }, //18 February 1983, UT1-UTC= 0.0905413, Accumulated Leap Seconds=21 + { 2445384.50, 53.096562 }, //19 February 1983, UT1-UTC= 0.0874380, Accumulated Leap Seconds=21 + { 2445385.50, 53.099596 }, //20 February 1983, UT1-UTC= 0.0844038, Accumulated Leap Seconds=21 + { 2445386.50, 53.102521 }, //21 February 1983, UT1-UTC= 0.0814787, Accumulated Leap Seconds=21 + { 2445387.50, 53.105328 }, //22 February 1983, UT1-UTC= 0.0786717, Accumulated Leap Seconds=21 + { 2445388.50, 53.108052 }, //23 February 1983, UT1-UTC= 0.0759478, Accumulated Leap Seconds=21 + { 2445389.50, 53.110771 }, //24 February 1983, UT1-UTC= 0.0732289, Accumulated Leap Seconds=21 + { 2445390.50, 53.113584 }, //25 February 1983, UT1-UTC= 0.0704155, Accumulated Leap Seconds=21 + { 2445391.50, 53.116582 }, //26 February 1983, UT1-UTC= 0.0674177, Accumulated Leap Seconds=21 + { 2445392.50, 53.119807 }, //27 February 1983, UT1-UTC= 0.0641933, Accumulated Leap Seconds=21 + { 2445393.50, 53.123231 }, //28 February 1983, UT1-UTC= 0.0607686, Accumulated Leap Seconds=21 + { 2445394.50, 53.126769 }, //01 March 1983, UT1-UTC= 0.0572310, Accumulated Leap Seconds=21 + { 2445395.50, 53.130302 }, //02 March 1983, UT1-UTC= 0.0536983, Accumulated Leap Seconds=21 + { 2445396.50, 53.133720 }, //03 March 1983, UT1-UTC= 0.0502796, Accumulated Leap Seconds=21 + { 2445397.50, 53.136950 }, //04 March 1983, UT1-UTC= 0.0470495, Accumulated Leap Seconds=21 + { 2445398.50, 53.139962 }, //05 March 1983, UT1-UTC= 0.0440379, Accumulated Leap Seconds=21 + { 2445399.50, 53.142764 }, //06 March 1983, UT1-UTC= 0.0412361, Accumulated Leap Seconds=21 + { 2445400.50, 53.145393 }, //07 March 1983, UT1-UTC= 0.0386074, Accumulated Leap Seconds=21 + { 2445401.50, 53.147901 }, //08 March 1983, UT1-UTC= 0.0360988, Accumulated Leap Seconds=21 + { 2445402.50, 53.150351 }, //09 March 1983, UT1-UTC= 0.0336493, Accumulated Leap Seconds=21 + { 2445403.50, 53.152804 }, //10 March 1983, UT1-UTC= 0.0311964, Accumulated Leap Seconds=21 + { 2445404.50, 53.155319 }, //11 March 1983, UT1-UTC= 0.0286811, Accumulated Leap Seconds=21 + { 2445405.50, 53.157946 }, //12 March 1983, UT1-UTC= 0.0260544, Accumulated Leap Seconds=21 + { 2445406.50, 53.160717 }, //13 March 1983, UT1-UTC= 0.0232825, Accumulated Leap Seconds=21 + { 2445407.50, 53.163647 }, //14 March 1983, UT1-UTC= 0.0203530, Accumulated Leap Seconds=21 + { 2445408.50, 53.166721 }, //15 March 1983, UT1-UTC= 0.0172785, Accumulated Leap Seconds=21 + { 2445409.50, 53.169903 }, //16 March 1983, UT1-UTC= 0.0140966, Accumulated Leap Seconds=21 + { 2445410.50, 53.173134 }, //17 March 1983, UT1-UTC= 0.0108659, Accumulated Leap Seconds=21 + { 2445411.50, 53.176344 }, //18 March 1983, UT1-UTC= 0.0076555, Accumulated Leap Seconds=21 + { 2445412.50, 53.179469 }, //19 March 1983, UT1-UTC= 0.0045306, Accumulated Leap Seconds=21 + { 2445413.50, 53.182463 }, //20 March 1983, UT1-UTC= 0.0015371, Accumulated Leap Seconds=21 + { 2445414.50, 53.185311 }, //21 March 1983, UT1-UTC=-0.0013109, Accumulated Leap Seconds=21 + { 2445415.50, 53.188039 }, //22 March 1983, UT1-UTC=-0.0040393, Accumulated Leap Seconds=21 + { 2445416.50, 53.190714 }, //23 March 1983, UT1-UTC=-0.0067144, Accumulated Leap Seconds=21 + { 2445417.50, 53.193431 }, //24 March 1983, UT1-UTC=-0.0094311, Accumulated Leap Seconds=21 + { 2445418.50, 53.196288 }, //25 March 1983, UT1-UTC=-0.0122879, Accumulated Leap Seconds=21 + { 2445419.50, 53.199355 }, //26 March 1983, UT1-UTC=-0.0153552, Accumulated Leap Seconds=21 + { 2445420.50, 53.202648 }, //27 March 1983, UT1-UTC=-0.0186478, Accumulated Leap Seconds=21 + { 2445421.50, 53.206115 }, //28 March 1983, UT1-UTC=-0.0221153, Accumulated Leap Seconds=21 + { 2445422.50, 53.209658 }, //29 March 1983, UT1-UTC=-0.0256580, Accumulated Leap Seconds=21 + { 2445423.50, 53.213159 }, //30 March 1983, UT1-UTC=-0.0291587, Accumulated Leap Seconds=21 + { 2445424.50, 53.216518 }, //31 March 1983, UT1-UTC=-0.0325178, Accumulated Leap Seconds=21 + { 2445425.50, 53.219675 }, //01 April 1983, UT1-UTC=-0.0356749, Accumulated Leap Seconds=21 + { 2445426.50, 53.222615 }, //02 April 1983, UT1-UTC=-0.0386148, Accumulated Leap Seconds=21 + { 2445427.50, 53.225359 }, //03 April 1983, UT1-UTC=-0.0413595, Accumulated Leap Seconds=21 + { 2445428.50, 53.227955 }, //04 April 1983, UT1-UTC=-0.0439548, Accumulated Leap Seconds=21 + { 2445429.50, 53.230459 }, //05 April 1983, UT1-UTC=-0.0464595, Accumulated Leap Seconds=21 + { 2445430.50, 53.232936 }, //06 April 1983, UT1-UTC=-0.0489363, Accumulated Leap Seconds=21 + { 2445431.50, 53.235445 }, //07 April 1983, UT1-UTC=-0.0514449, Accumulated Leap Seconds=21 + { 2445432.50, 53.238037 }, //08 April 1983, UT1-UTC=-0.0540366, Accumulated Leap Seconds=21 + { 2445433.50, 53.240748 }, //09 April 1983, UT1-UTC=-0.0567483, Accumulated Leap Seconds=21 + { 2445434.50, 53.243601 }, //10 April 1983, UT1-UTC=-0.0596006, Accumulated Leap Seconds=21 + { 2445435.50, 53.246593 }, //11 April 1983, UT1-UTC=-0.0625928, Accumulated Leap Seconds=21 + { 2445436.50, 53.249699 }, //12 April 1983, UT1-UTC=-0.0656991, Accumulated Leap Seconds=21 + { 2445437.50, 53.252868 }, //13 April 1983, UT1-UTC=-0.0688677, Accumulated Leap Seconds=21 + { 2445438.50, 53.256027 }, //14 April 1983, UT1-UTC=-0.0720272, Accumulated Leap Seconds=21 + { 2445439.50, 53.259100 }, //15 April 1983, UT1-UTC=-0.0751004, Accumulated Leap Seconds=21 + { 2445440.50, 53.262024 }, //16 April 1983, UT1-UTC=-0.0780245, Accumulated Leap Seconds=21 + { 2445441.50, 53.264771 }, //17 April 1983, UT1-UTC=-0.0807706, Accumulated Leap Seconds=21 + { 2445442.50, 53.267355 }, //18 April 1983, UT1-UTC=-0.0833549, Accumulated Leap Seconds=21 + { 2445443.50, 53.269835 }, //19 April 1983, UT1-UTC=-0.0858353, Accumulated Leap Seconds=21 + { 2445444.50, 53.272298 }, //20 April 1983, UT1-UTC=-0.0882984, Accumulated Leap Seconds=21 + { 2445445.50, 53.274837 }, //21 April 1983, UT1-UTC=-0.0908370, Accumulated Leap Seconds=21 + { 2445446.50, 53.277524 }, //22 April 1983, UT1-UTC=-0.0935240, Accumulated Leap Seconds=21 + { 2445447.50, 53.280391 }, //23 April 1983, UT1-UTC=-0.0963907, Accumulated Leap Seconds=21 + { 2445448.50, 53.283414 }, //24 April 1983, UT1-UTC=-0.0994141, Accumulated Leap Seconds=21 + { 2445449.50, 53.286522 }, //25 April 1983, UT1-UTC=-0.1025219, Accumulated Leap Seconds=21 + { 2445450.50, 53.289614 }, //26 April 1983, UT1-UTC=-0.1056141, Accumulated Leap Seconds=21 + { 2445451.50, 53.292589 }, //27 April 1983, UT1-UTC=-0.1085892, Accumulated Leap Seconds=21 + { 2445452.50, 53.295372 }, //28 April 1983, UT1-UTC=-0.1113719, Accumulated Leap Seconds=21 + { 2445453.50, 53.297927 }, //29 April 1983, UT1-UTC=-0.1139272, Accumulated Leap Seconds=21 + { 2445454.50, 53.300261 }, //30 April 1983, UT1-UTC=-0.1162615, Accumulated Leap Seconds=21 + { 2445455.50, 53.302414 }, //01 May 1983, UT1-UTC=-0.1184139, Accumulated Leap Seconds=21 + { 2445456.50, 53.304444 }, //02 May 1983, UT1-UTC=-0.1204438, Accumulated Leap Seconds=21 + { 2445457.50, 53.306420 }, //03 May 1983, UT1-UTC=-0.1224196, Accumulated Leap Seconds=21 + { 2445458.50, 53.308409 }, //04 May 1983, UT1-UTC=-0.1244092, Accumulated Leap Seconds=21 + { 2445459.50, 53.310472 }, //05 May 1983, UT1-UTC=-0.1264725, Accumulated Leap Seconds=21 + { 2445460.50, 53.312656 }, //06 May 1983, UT1-UTC=-0.1286562, Accumulated Leap Seconds=21 + { 2445461.50, 53.314990 }, //07 May 1983, UT1-UTC=-0.1309902, Accumulated Leap Seconds=21 + { 2445462.50, 53.317483 }, //08 May 1983, UT1-UTC=-0.1334833, Accumulated Leap Seconds=21 + { 2445463.50, 53.320122 }, //09 May 1983, UT1-UTC=-0.1361219, Accumulated Leap Seconds=21 + { 2445464.50, 53.322868 }, //10 May 1983, UT1-UTC=-0.1388681, Accumulated Leap Seconds=21 + { 2445465.50, 53.325660 }, //11 May 1983, UT1-UTC=-0.1416598, Accumulated Leap Seconds=21 + { 2445466.50, 53.328417 }, //12 May 1983, UT1-UTC=-0.1444174, Accumulated Leap Seconds=21 + { 2445467.50, 53.331063 }, //13 May 1983, UT1-UTC=-0.1470626, Accumulated Leap Seconds=21 + { 2445468.50, 53.333543 }, //14 May 1983, UT1-UTC=-0.1495435, Accumulated Leap Seconds=21 + { 2445469.50, 53.335856 }, //15 May 1983, UT1-UTC=-0.1518561, Accumulated Leap Seconds=21 + { 2445470.50, 53.338048 }, //16 May 1983, UT1-UTC=-0.1540477, Accumulated Leap Seconds=21 + { 2445471.50, 53.340204 }, //17 May 1983, UT1-UTC=-0.1562041, Accumulated Leap Seconds=21 + { 2445472.50, 53.342422 }, //18 May 1983, UT1-UTC=-0.1584216, Accumulated Leap Seconds=21 + { 2445473.50, 53.344777 }, //19 May 1983, UT1-UTC=-0.1607772, Accumulated Leap Seconds=21 + { 2445474.50, 53.347307 }, //20 May 1983, UT1-UTC=-0.1633072, Accumulated Leap Seconds=21 + { 2445475.50, 53.349998 }, //21 May 1983, UT1-UTC=-0.1659979, Accumulated Leap Seconds=21 + { 2445476.50, 53.352792 }, //22 May 1983, UT1-UTC=-0.1687922, Accumulated Leap Seconds=21 + { 2445477.50, 53.355604 }, //23 May 1983, UT1-UTC=-0.1716045, Accumulated Leap Seconds=21 + { 2445478.50, 53.358343 }, //24 May 1983, UT1-UTC=-0.1743432, Accumulated Leap Seconds=21 + { 2445479.50, 53.360930 }, //25 May 1983, UT1-UTC=-0.1769304, Accumulated Leap Seconds=21 + { 2445480.50, 53.363318 }, //26 May 1983, UT1-UTC=-0.1793179, Accumulated Leap Seconds=21 + { 2445481.50, 53.365494 }, //27 May 1983, UT1-UTC=-0.1814945, Accumulated Leap Seconds=21 + { 2445482.50, 53.367483 }, //28 May 1983, UT1-UTC=-0.1834831, Accumulated Leap Seconds=21 + { 2445483.50, 53.369331 }, //29 May 1983, UT1-UTC=-0.1853312, Accumulated Leap Seconds=21 + { 2445484.50, 53.371101 }, //30 May 1983, UT1-UTC=-0.1871007, Accumulated Leap Seconds=21 + { 2445485.50, 53.372858 }, //31 May 1983, UT1-UTC=-0.1888580, Accumulated Leap Seconds=21 + { 2445486.50, 53.374664 }, //01 June 1983, UT1-UTC=-0.1906645, Accumulated Leap Seconds=21 + { 2445487.50, 53.376569 }, //02 June 1983, UT1-UTC=-0.1925689, Accumulated Leap Seconds=21 + { 2445488.50, 53.378602 }, //03 June 1983, UT1-UTC=-0.1946017, Accumulated Leap Seconds=21 + { 2445489.50, 53.380775 }, //04 June 1983, UT1-UTC=-0.1967747, Accumulated Leap Seconds=21 + { 2445490.50, 53.383082 }, //05 June 1983, UT1-UTC=-0.1990816, Accumulated Leap Seconds=21 + { 2445491.50, 53.385497 }, //06 June 1983, UT1-UTC=-0.2014974, Accumulated Leap Seconds=21 + { 2445492.50, 53.387977 }, //07 June 1983, UT1-UTC=-0.2039770, Accumulated Leap Seconds=21 + { 2445493.50, 53.390455 }, //08 June 1983, UT1-UTC=-0.2064550, Accumulated Leap Seconds=21 + { 2445494.50, 53.392855 }, //09 June 1983, UT1-UTC=-0.2088550, Accumulated Leap Seconds=21 + { 2445495.50, 53.395110 }, //10 June 1983, UT1-UTC=-0.2111105, Accumulated Leap Seconds=21 + { 2445496.50, 53.397192 }, //11 June 1983, UT1-UTC=-0.2131924, Accumulated Leap Seconds=21 + { 2445497.50, 53.399127 }, //12 June 1983, UT1-UTC=-0.2151267, Accumulated Leap Seconds=21 + { 2445498.50, 53.400992 }, //13 June 1983, UT1-UTC=-0.2169918, Accumulated Leap Seconds=21 + { 2445499.50, 53.402893 }, //14 June 1983, UT1-UTC=-0.2188927, Accumulated Leap Seconds=21 + { 2445500.50, 53.404922 }, //15 June 1983, UT1-UTC=-0.2209224, Accumulated Leap Seconds=21 + { 2445501.50, 53.407129 }, //16 June 1983, UT1-UTC=-0.2231291, Accumulated Leap Seconds=21 + { 2445502.50, 53.409502 }, //17 June 1983, UT1-UTC=-0.2255023, Accumulated Leap Seconds=21 + { 2445503.50, 53.411979 }, //18 June 1983, UT1-UTC=-0.2279791, Accumulated Leap Seconds=21 + { 2445504.50, 53.414467 }, //19 June 1983, UT1-UTC=-0.2304674, Accumulated Leap Seconds=21 + { 2445505.50, 53.416871 }, //20 June 1983, UT1-UTC=-0.2328710, Accumulated Leap Seconds=21 + { 2445506.50, 53.419110 }, //21 June 1983, UT1-UTC=-0.2351104, Accumulated Leap Seconds=21 + { 2445507.50, 53.421134 }, //22 June 1983, UT1-UTC=-0.2371338, Accumulated Leap Seconds=21 + { 2445508.50, 53.422922 }, //23 June 1983, UT1-UTC=-0.2389222, Accumulated Leap Seconds=21 + { 2445509.50, 53.424489 }, //24 June 1983, UT1-UTC=-0.2404892, Accumulated Leap Seconds=21 + { 2445510.50, 53.425874 }, //25 June 1983, UT1-UTC=-0.2418739, Accumulated Leap Seconds=21 + { 2445511.50, 53.427132 }, //26 June 1983, UT1-UTC=-0.2431316, Accumulated Leap Seconds=21 + { 2445512.50, 53.428326 }, //27 June 1983, UT1-UTC=-0.2443256, Accumulated Leap Seconds=21 + { 2445513.50, 53.429519 }, //28 June 1983, UT1-UTC=-0.2455186, Accumulated Leap Seconds=21 + { 2445514.50, 53.430763 }, //29 June 1983, UT1-UTC=-0.2467632, Accumulated Leap Seconds=21 + { 2445515.50, 53.432097 }, //30 June 1983, UT1-UTC=-0.2480974, Accumulated Leap Seconds=21 + { 2445516.50, 53.433540 }, //01 July 1983, UT1-UTC= 0.7504601, Accumulated Leap Seconds=22 + { 2445517.50, 53.435088 }, //02 July 1983, UT1-UTC= 0.7489115, Accumulated Leap Seconds=22 + { 2445518.50, 53.436722 }, //03 July 1983, UT1-UTC= 0.7472782, Accumulated Leap Seconds=22 + { 2445519.50, 53.438403 }, //04 July 1983, UT1-UTC= 0.7455971, Accumulated Leap Seconds=22 + { 2445520.50, 53.440080 }, //05 July 1983, UT1-UTC= 0.7439198, Accumulated Leap Seconds=22 + { 2445521.50, 53.441690 }, //06 July 1983, UT1-UTC= 0.7423097, Accumulated Leap Seconds=22 + { 2445522.50, 53.443169 }, //07 July 1983, UT1-UTC= 0.7408313, Accumulated Leap Seconds=22 + { 2445523.50, 53.444474 }, //08 July 1983, UT1-UTC= 0.7395256, Accumulated Leap Seconds=22 + { 2445524.50, 53.445612 }, //09 July 1983, UT1-UTC= 0.7383876, Accumulated Leap Seconds=22 + { 2445525.50, 53.446645 }, //10 July 1983, UT1-UTC= 0.7373551, Accumulated Leap Seconds=22 + { 2445526.50, 53.447679 }, //11 July 1983, UT1-UTC= 0.7363211, Accumulated Leap Seconds=22 + { 2445527.50, 53.448831 }, //12 July 1983, UT1-UTC= 0.7351691, Accumulated Leap Seconds=22 + { 2445528.50, 53.450183 }, //13 July 1983, UT1-UTC= 0.7338170, Accumulated Leap Seconds=22 + { 2445529.50, 53.451755 }, //14 July 1983, UT1-UTC= 0.7322452, Accumulated Leap Seconds=22 + { 2445530.50, 53.453500 }, //15 July 1983, UT1-UTC= 0.7304995, Accumulated Leap Seconds=22 + { 2445531.50, 53.455331 }, //16 July 1983, UT1-UTC= 0.7286694, Accumulated Leap Seconds=22 + { 2445532.50, 53.457143 }, //17 July 1983, UT1-UTC= 0.7268571, Accumulated Leap Seconds=22 + { 2445533.50, 53.458851 }, //18 July 1983, UT1-UTC= 0.7251489, Accumulated Leap Seconds=22 + { 2445534.50, 53.460405 }, //19 July 1983, UT1-UTC= 0.7235954, Accumulated Leap Seconds=22 + { 2445535.50, 53.461789 }, //20 July 1983, UT1-UTC= 0.7222106, Accumulated Leap Seconds=22 + { 2445536.50, 53.463017 }, //21 July 1983, UT1-UTC= 0.7209826, Accumulated Leap Seconds=22 + { 2445537.50, 53.464121 }, //22 July 1983, UT1-UTC= 0.7198788, Accumulated Leap Seconds=22 + { 2445538.50, 53.465147 }, //23 July 1983, UT1-UTC= 0.7188526, Accumulated Leap Seconds=22 + { 2445539.50, 53.466153 }, //24 July 1983, UT1-UTC= 0.7178470, Accumulated Leap Seconds=22 + { 2445540.50, 53.467196 }, //25 July 1983, UT1-UTC= 0.7168039, Accumulated Leap Seconds=22 + { 2445541.50, 53.468329 }, //26 July 1983, UT1-UTC= 0.7156714, Accumulated Leap Seconds=22 + { 2445542.50, 53.469589 }, //27 July 1983, UT1-UTC= 0.7144113, Accumulated Leap Seconds=22 + { 2445543.50, 53.470995 }, //28 July 1983, UT1-UTC= 0.7130053, Accumulated Leap Seconds=22 + { 2445544.50, 53.472545 }, //29 July 1983, UT1-UTC= 0.7114550, Accumulated Leap Seconds=22 + { 2445545.50, 53.474221 }, //30 July 1983, UT1-UTC= 0.7097792, Accumulated Leap Seconds=22 + { 2445546.50, 53.475988 }, //31 July 1983, UT1-UTC= 0.7080116, Accumulated Leap Seconds=22 + { 2445547.50, 53.477801 }, //01 August 1983, UT1-UTC= 0.7061985, Accumulated Leap Seconds=22 + { 2445548.50, 53.479605 }, //02 August 1983, UT1-UTC= 0.7043952, Accumulated Leap Seconds=22 + { 2445549.50, 53.481341 }, //03 August 1983, UT1-UTC= 0.7026587, Accumulated Leap Seconds=22 + { 2445550.50, 53.482964 }, //04 August 1983, UT1-UTC= 0.7010361, Accumulated Leap Seconds=22 + { 2445551.50, 53.484454 }, //05 August 1983, UT1-UTC= 0.6995459, Accumulated Leap Seconds=22 + { 2445552.50, 53.485841 }, //06 August 1983, UT1-UTC= 0.6981587, Accumulated Leap Seconds=22 + { 2445553.50, 53.487207 }, //07 August 1983, UT1-UTC= 0.6967933, Accumulated Leap Seconds=22 + { 2445554.50, 53.488663 }, //08 August 1983, UT1-UTC= 0.6953371, Accumulated Leap Seconds=22 + { 2445555.50, 53.490312 }, //09 August 1983, UT1-UTC= 0.6936880, Accumulated Leap Seconds=22 + { 2445556.50, 53.492203 }, //10 August 1983, UT1-UTC= 0.6917972, Accumulated Leap Seconds=22 + { 2445557.50, 53.494309 }, //11 August 1983, UT1-UTC= 0.6896908, Accumulated Leap Seconds=22 + { 2445558.50, 53.496539 }, //12 August 1983, UT1-UTC= 0.6874608, Accumulated Leap Seconds=22 + { 2445559.50, 53.498768 }, //13 August 1983, UT1-UTC= 0.6852322, Accumulated Leap Seconds=22 + { 2445560.50, 53.500879 }, //14 August 1983, UT1-UTC= 0.6831210, Accumulated Leap Seconds=22 + { 2445561.50, 53.502797 }, //15 August 1983, UT1-UTC= 0.6812028, Accumulated Leap Seconds=22 + { 2445562.50, 53.504497 }, //16 August 1983, UT1-UTC= 0.6795028, Accumulated Leap Seconds=22 + { 2445563.50, 53.505996 }, //17 August 1983, UT1-UTC= 0.6780038, Accumulated Leap Seconds=22 + { 2445564.50, 53.507338 }, //18 August 1983, UT1-UTC= 0.6766624, Accumulated Leap Seconds=22 + { 2445565.50, 53.508579 }, //19 August 1983, UT1-UTC= 0.6754213, Accumulated Leap Seconds=22 + { 2445566.50, 53.509782 }, //20 August 1983, UT1-UTC= 0.6742180, Accumulated Leap Seconds=22 + { 2445567.50, 53.511009 }, //21 August 1983, UT1-UTC= 0.6729913, Accumulated Leap Seconds=22 + { 2445568.50, 53.512314 }, //22 August 1983, UT1-UTC= 0.6716863, Accumulated Leap Seconds=22 + { 2445569.50, 53.513739 }, //23 August 1983, UT1-UTC= 0.6702610, Accumulated Leap Seconds=22 + { 2445570.50, 53.515308 }, //24 August 1983, UT1-UTC= 0.6686917, Accumulated Leap Seconds=22 + { 2445571.50, 53.517024 }, //25 August 1983, UT1-UTC= 0.6669759, Accumulated Leap Seconds=22 + { 2445572.50, 53.518868 }, //26 August 1983, UT1-UTC= 0.6651322, Accumulated Leap Seconds=22 + { 2445573.50, 53.520802 }, //27 August 1983, UT1-UTC= 0.6631980, Accumulated Leap Seconds=22 + { 2445574.50, 53.522775 }, //28 August 1983, UT1-UTC= 0.6612246, Accumulated Leap Seconds=22 + { 2445575.50, 53.524730 }, //29 August 1983, UT1-UTC= 0.6592703, Accumulated Leap Seconds=22 + { 2445576.50, 53.526609 }, //30 August 1983, UT1-UTC= 0.6573905, Accumulated Leap Seconds=22 + { 2445577.50, 53.528371 }, //31 August 1983, UT1-UTC= 0.6556291, Accumulated Leap Seconds=22 + { 2445578.50, 53.529994 }, //01 September 1983, UT1-UTC= 0.6540063, Accumulated Leap Seconds=22 + { 2445579.50, 53.531495 }, //02 September 1983, UT1-UTC= 0.6525049, Accumulated Leap Seconds=22 + { 2445580.50, 53.532937 }, //03 September 1983, UT1-UTC= 0.6510632, Accumulated Leap Seconds=22 + { 2445581.50, 53.534420 }, //04 September 1983, UT1-UTC= 0.6495800, Accumulated Leap Seconds=22 + { 2445582.50, 53.536057 }, //05 September 1983, UT1-UTC= 0.6479430, Accumulated Leap Seconds=22 + { 2445583.50, 53.537930 }, //06 September 1983, UT1-UTC= 0.6460696, Accumulated Leap Seconds=22 + { 2445584.50, 53.540057 }, //07 September 1983, UT1-UTC= 0.6439426, Accumulated Leap Seconds=22 + { 2445585.50, 53.542381 }, //08 September 1983, UT1-UTC= 0.6416186, Accumulated Leap Seconds=22 + { 2445586.50, 53.544788 }, //09 September 1983, UT1-UTC= 0.6392122, Accumulated Leap Seconds=22 + { 2445587.50, 53.547141 }, //10 September 1983, UT1-UTC= 0.6368585, Accumulated Leap Seconds=22 + { 2445588.50, 53.549333 }, //11 September 1983, UT1-UTC= 0.6346673, Accumulated Leap Seconds=22 + { 2445589.50, 53.551300 }, //12 September 1983, UT1-UTC= 0.6326998, Accumulated Leap Seconds=22 + { 2445590.50, 53.553039 }, //13 September 1983, UT1-UTC= 0.6309608, Accumulated Leap Seconds=22 + { 2445591.50, 53.554588 }, //14 September 1983, UT1-UTC= 0.6294124, Accumulated Leap Seconds=22 + { 2445592.50, 53.556006 }, //15 September 1983, UT1-UTC= 0.6279940, Accumulated Leap Seconds=22 + { 2445593.50, 53.557362 }, //16 September 1983, UT1-UTC= 0.6266384, Accumulated Leap Seconds=22 + { 2445594.50, 53.558719 }, //17 September 1983, UT1-UTC= 0.6252807, Accumulated Leap Seconds=22 + { 2445595.50, 53.560138 }, //18 September 1983, UT1-UTC= 0.6238623, Accumulated Leap Seconds=22 + { 2445596.50, 53.561665 }, //19 September 1983, UT1-UTC= 0.6223348, Accumulated Leap Seconds=22 + { 2445597.50, 53.563333 }, //20 September 1983, UT1-UTC= 0.6206672, Accumulated Leap Seconds=22 + { 2445598.50, 53.565152 }, //21 September 1983, UT1-UTC= 0.6188483, Accumulated Leap Seconds=22 + { 2445599.50, 53.567111 }, //22 September 1983, UT1-UTC= 0.6168886, Accumulated Leap Seconds=22 + { 2445600.50, 53.569180 }, //23 September 1983, UT1-UTC= 0.6148200, Accumulated Leap Seconds=22 + { 2445601.50, 53.571307 }, //24 September 1983, UT1-UTC= 0.6126926, Accumulated Leap Seconds=22 + { 2445602.50, 53.573435 }, //25 September 1983, UT1-UTC= 0.6105654, Accumulated Leap Seconds=22 + { 2445603.50, 53.575505 }, //26 September 1983, UT1-UTC= 0.6084951, Accumulated Leap Seconds=22 + { 2445604.50, 53.577476 }, //27 September 1983, UT1-UTC= 0.6065239, Accumulated Leap Seconds=22 + { 2445605.50, 53.579331 }, //28 September 1983, UT1-UTC= 0.6046690, Accumulated Leap Seconds=22 + { 2445606.50, 53.581086 }, //29 September 1983, UT1-UTC= 0.6029143, Accumulated Leap Seconds=22 + { 2445607.50, 53.582793 }, //30 September 1983, UT1-UTC= 0.6012065, Accumulated Leap Seconds=22 + { 2445608.50, 53.584539 }, //01 October 1983, UT1-UTC= 0.5994608, Accumulated Leap Seconds=22 + { 2445609.50, 53.586425 }, //02 October 1983, UT1-UTC= 0.5975750, Accumulated Leap Seconds=22 + { 2445610.50, 53.588542 }, //03 October 1983, UT1-UTC= 0.5954578, Accumulated Leap Seconds=22 + { 2445611.50, 53.590936 }, //04 October 1983, UT1-UTC= 0.5930642, Accumulated Leap Seconds=22 + { 2445612.50, 53.593581 }, //05 October 1983, UT1-UTC= 0.5904186, Accumulated Leap Seconds=22 + { 2445613.50, 53.596385 }, //06 October 1983, UT1-UTC= 0.5876153, Accumulated Leap Seconds=22 + { 2445614.50, 53.599207 }, //07 October 1983, UT1-UTC= 0.5847934, Accumulated Leap Seconds=22 + { 2445615.50, 53.601907 }, //08 October 1983, UT1-UTC= 0.5820926, Accumulated Leap Seconds=22 + { 2445616.50, 53.604387 }, //09 October 1983, UT1-UTC= 0.5796131, Accumulated Leap Seconds=22 + { 2445617.50, 53.606605 }, //10 October 1983, UT1-UTC= 0.5773946, Accumulated Leap Seconds=22 + { 2445618.50, 53.608579 }, //11 October 1983, UT1-UTC= 0.5754209, Accumulated Leap Seconds=22 + { 2445619.50, 53.610362 }, //12 October 1983, UT1-UTC= 0.5736376, Accumulated Leap Seconds=22 + { 2445620.50, 53.612028 }, //13 October 1983, UT1-UTC= 0.5719722, Accumulated Leap Seconds=22 + { 2445621.50, 53.613649 }, //14 October 1983, UT1-UTC= 0.5703506, Accumulated Leap Seconds=22 + { 2445622.50, 53.615293 }, //15 October 1983, UT1-UTC= 0.5687067, Accumulated Leap Seconds=22 + { 2445623.50, 53.617015 }, //16 October 1983, UT1-UTC= 0.5669849, Accumulated Leap Seconds=22 + { 2445624.50, 53.618854 }, //17 October 1983, UT1-UTC= 0.5651460, Accumulated Leap Seconds=22 + { 2445625.50, 53.620829 }, //18 October 1983, UT1-UTC= 0.5631707, Accumulated Leap Seconds=22 + { 2445626.50, 53.622942 }, //19 October 1983, UT1-UTC= 0.5610581, Accumulated Leap Seconds=22 + { 2445627.50, 53.625173 }, //20 October 1983, UT1-UTC= 0.5588267, Accumulated Leap Seconds=22 + { 2445628.50, 53.627485 }, //21 October 1983, UT1-UTC= 0.5565148, Accumulated Leap Seconds=22 + { 2445629.50, 53.629823 }, //22 October 1983, UT1-UTC= 0.5541771, Accumulated Leap Seconds=22 + { 2445630.50, 53.632126 }, //23 October 1983, UT1-UTC= 0.5518736, Accumulated Leap Seconds=22 + { 2445631.50, 53.634344 }, //24 October 1983, UT1-UTC= 0.5496557, Accumulated Leap Seconds=22 + { 2445632.50, 53.636449 }, //25 October 1983, UT1-UTC= 0.5475509, Accumulated Leap Seconds=22 + { 2445633.50, 53.638451 }, //26 October 1983, UT1-UTC= 0.5455492, Accumulated Leap Seconds=22 + { 2445634.50, 53.640401 }, //27 October 1983, UT1-UTC= 0.5435992, Accumulated Leap Seconds=22 + { 2445635.50, 53.642380 }, //28 October 1983, UT1-UTC= 0.5416204, Accumulated Leap Seconds=22 + { 2445636.50, 53.644483 }, //29 October 1983, UT1-UTC= 0.5395172, Accumulated Leap Seconds=22 + { 2445637.50, 53.646802 }, //30 October 1983, UT1-UTC= 0.5371975, Accumulated Leap Seconds=22 + { 2445638.50, 53.649395 }, //31 October 1983, UT1-UTC= 0.5346047, Accumulated Leap Seconds=22 + { 2445639.50, 53.652263 }, //01 November 1983, UT1-UTC= 0.5317372, Accumulated Leap Seconds=22 + { 2445640.50, 53.655345 }, //02 November 1983, UT1-UTC= 0.5286549, Accumulated Leap Seconds=22 + { 2445641.50, 53.658530 }, //03 November 1983, UT1-UTC= 0.5254704, Accumulated Leap Seconds=22 + { 2445642.50, 53.661681 }, //04 November 1983, UT1-UTC= 0.5223186, Accumulated Leap Seconds=22 + { 2445643.50, 53.664681 }, //05 November 1983, UT1-UTC= 0.5193194, Accumulated Leap Seconds=22 + { 2445644.50, 53.667451 }, //06 November 1983, UT1-UTC= 0.5165493, Accumulated Leap Seconds=22 + { 2445645.50, 53.669971 }, //07 November 1983, UT1-UTC= 0.5140290, Accumulated Leap Seconds=22 + { 2445646.50, 53.672269 }, //08 November 1983, UT1-UTC= 0.5117311, Accumulated Leap Seconds=22 + { 2445647.50, 53.674405 }, //09 November 1983, UT1-UTC= 0.5095951, Accumulated Leap Seconds=22 + { 2445648.50, 53.676456 }, //10 November 1983, UT1-UTC= 0.5075441, Accumulated Leap Seconds=22 + { 2445649.50, 53.678496 }, //11 November 1983, UT1-UTC= 0.5055044, Accumulated Leap Seconds=22 + { 2445650.50, 53.680587 }, //12 November 1983, UT1-UTC= 0.5034134, Accumulated Leap Seconds=22 + { 2445651.50, 53.682774 }, //13 November 1983, UT1-UTC= 0.5012261, Accumulated Leap Seconds=22 + { 2445652.50, 53.685082 }, //14 November 1983, UT1-UTC= 0.4989183, Accumulated Leap Seconds=22 + { 2445653.50, 53.687514 }, //15 November 1983, UT1-UTC= 0.4964856, Accumulated Leap Seconds=22 + { 2445654.50, 53.690056 }, //16 November 1983, UT1-UTC= 0.4939437, Accumulated Leap Seconds=22 + { 2445655.50, 53.692673 }, //17 November 1983, UT1-UTC= 0.4913271, Accumulated Leap Seconds=22 + { 2445656.50, 53.695311 }, //18 November 1983, UT1-UTC= 0.4886891, Accumulated Leap Seconds=22 + { 2445657.50, 53.697906 }, //19 November 1983, UT1-UTC= 0.4860939, Accumulated Leap Seconds=22 + { 2445658.50, 53.700392 }, //20 November 1983, UT1-UTC= 0.4836084, Accumulated Leap Seconds=22 + { 2445659.50, 53.702716 }, //21 November 1983, UT1-UTC= 0.4812844, Accumulated Leap Seconds=22 + { 2445660.50, 53.704862 }, //22 November 1983, UT1-UTC= 0.4791380, Accumulated Leap Seconds=22 + { 2445661.50, 53.706863 }, //23 November 1983, UT1-UTC= 0.4771374, Accumulated Leap Seconds=22 + { 2445662.50, 53.708793 }, //24 November 1983, UT1-UTC= 0.4752071, Accumulated Leap Seconds=22 + { 2445663.50, 53.710753 }, //25 November 1983, UT1-UTC= 0.4732469, Accumulated Leap Seconds=22 + { 2445664.50, 53.712838 }, //26 November 1983, UT1-UTC= 0.4711618, Accumulated Leap Seconds=22 + { 2445665.50, 53.715111 }, //27 November 1983, UT1-UTC= 0.4688893, Accumulated Leap Seconds=22 + { 2445666.50, 53.717583 }, //28 November 1983, UT1-UTC= 0.4664169, Accumulated Leap Seconds=22 + { 2445667.50, 53.720214 }, //29 November 1983, UT1-UTC= 0.4637860, Accumulated Leap Seconds=22 + { 2445668.50, 53.722917 }, //30 November 1983, UT1-UTC= 0.4610830, Accumulated Leap Seconds=22 + { 2445669.50, 53.725584 }, //01 December 1983, UT1-UTC= 0.4584156, Accumulated Leap Seconds=22 + { 2445670.50, 53.728114 }, //02 December 1983, UT1-UTC= 0.4558864, Accumulated Leap Seconds=22 + { 2445671.50, 53.730430 }, //03 December 1983, UT1-UTC= 0.4535700, Accumulated Leap Seconds=22 + { 2445672.50, 53.732502 }, //04 December 1983, UT1-UTC= 0.4514976, Accumulated Leap Seconds=22 + { 2445673.50, 53.734346 }, //05 December 1983, UT1-UTC= 0.4496539, Accumulated Leap Seconds=22 + { 2445674.50, 53.736014 }, //06 December 1983, UT1-UTC= 0.4479860, Accumulated Leap Seconds=22 + { 2445675.50, 53.737579 }, //07 December 1983, UT1-UTC= 0.4464213, Accumulated Leap Seconds=22 + { 2445676.50, 53.739116 }, //08 December 1983, UT1-UTC= 0.4448837, Accumulated Leap Seconds=22 + { 2445677.50, 53.740696 }, //09 December 1983, UT1-UTC= 0.4433035, Accumulated Leap Seconds=22 + { 2445678.50, 53.742373 }, //10 December 1983, UT1-UTC= 0.4416268, Accumulated Leap Seconds=22 + { 2445679.50, 53.744179 }, //11 December 1983, UT1-UTC= 0.4398205, Accumulated Leap Seconds=22 + { 2445680.50, 53.746126 }, //12 December 1983, UT1-UTC= 0.4378741, Accumulated Leap Seconds=22 + { 2445681.50, 53.748202 }, //13 December 1983, UT1-UTC= 0.4357983, Accumulated Leap Seconds=22 + { 2445682.50, 53.750378 }, //14 December 1983, UT1-UTC= 0.4336221, Accumulated Leap Seconds=22 + { 2445683.50, 53.752612 }, //15 December 1983, UT1-UTC= 0.4313877, Accumulated Leap Seconds=22 + { 2445684.50, 53.754852 }, //16 December 1983, UT1-UTC= 0.4291483, Accumulated Leap Seconds=22 + { 2445685.50, 53.757035 }, //17 December 1983, UT1-UTC= 0.4269650, Accumulated Leap Seconds=22 + { 2445686.50, 53.759103 }, //18 December 1983, UT1-UTC= 0.4248974, Accumulated Leap Seconds=22 + { 2445687.50, 53.761019 }, //19 December 1983, UT1-UTC= 0.4229814, Accumulated Leap Seconds=22 + { 2445688.50, 53.762790 }, //20 December 1983, UT1-UTC= 0.4212099, Accumulated Leap Seconds=22 + { 2445689.50, 53.764477 }, //21 December 1983, UT1-UTC= 0.4195234, Accumulated Leap Seconds=22 + { 2445690.50, 53.766177 }, //22 December 1983, UT1-UTC= 0.4178229, Accumulated Leap Seconds=22 + { 2445691.50, 53.767998 }, //23 December 1983, UT1-UTC= 0.4160021, Accumulated Leap Seconds=22 + { 2445692.50, 53.770018 }, //24 December 1983, UT1-UTC= 0.4139816, Accumulated Leap Seconds=22 + { 2445693.50, 53.772263 }, //25 December 1983, UT1-UTC= 0.4117373, Accumulated Leap Seconds=22 + { 2445694.50, 53.774692 }, //26 December 1983, UT1-UTC= 0.4093081, Accumulated Leap Seconds=22 + { 2445695.50, 53.777220 }, //27 December 1983, UT1-UTC= 0.4067800, Accumulated Leap Seconds=22 + { 2445696.50, 53.779741 }, //28 December 1983, UT1-UTC= 0.4042590, Accumulated Leap Seconds=22 + { 2445697.50, 53.782156 }, //29 December 1983, UT1-UTC= 0.4018441, Accumulated Leap Seconds=22 + { 2445698.50, 53.784394 }, //30 December 1983, UT1-UTC= 0.3996064, Accumulated Leap Seconds=22 + { 2445699.50, 53.786420 }, //31 December 1983, UT1-UTC= 0.3975795, Accumulated Leap Seconds=22 + { 2445700.50, 53.788242 }, //01 January 1984, UT1-UTC= 0.3957582, Accumulated Leap Seconds=22 + { 2445701.50, 53.789893 }, //02 January 1984, UT1-UTC= 0.3941071, Accumulated Leap Seconds=22 + { 2445702.50, 53.791430 }, //03 January 1984, UT1-UTC= 0.3925702, Accumulated Leap Seconds=22 + { 2445703.50, 53.792916 }, //04 January 1984, UT1-UTC= 0.3910842, Accumulated Leap Seconds=22 + { 2445704.50, 53.794411 }, //05 January 1984, UT1-UTC= 0.3895893, Accumulated Leap Seconds=22 + { 2445705.50, 53.795963 }, //06 January 1984, UT1-UTC= 0.3880369, Accumulated Leap Seconds=22 + { 2445706.50, 53.797606 }, //07 January 1984, UT1-UTC= 0.3863944, Accumulated Leap Seconds=22 + { 2445707.50, 53.799351 }, //08 January 1984, UT1-UTC= 0.3846493, Accumulated Leap Seconds=22 + { 2445708.50, 53.801189 }, //09 January 1984, UT1-UTC= 0.3828108, Accumulated Leap Seconds=22 + { 2445709.50, 53.803093 }, //10 January 1984, UT1-UTC= 0.3809067, Accumulated Leap Seconds=22 + { 2445710.50, 53.805023 }, //11 January 1984, UT1-UTC= 0.3789766, Accumulated Leap Seconds=22 + { 2445711.50, 53.806930 }, //12 January 1984, UT1-UTC= 0.3770702, Accumulated Leap Seconds=22 + { 2445712.50, 53.808757 }, //13 January 1984, UT1-UTC= 0.3752434, Accumulated Leap Seconds=22 + { 2445713.50, 53.810453 }, //14 January 1984, UT1-UTC= 0.3735466, Accumulated Leap Seconds=22 + { 2445714.50, 53.811984 }, //15 January 1984, UT1-UTC= 0.3720162, Accumulated Leap Seconds=22 + { 2445715.50, 53.813343 }, //16 January 1984, UT1-UTC= 0.3706567, Accumulated Leap Seconds=22 + { 2445716.50, 53.814576 }, //17 January 1984, UT1-UTC= 0.3694237, Accumulated Leap Seconds=22 + { 2445717.50, 53.815777 }, //18 January 1984, UT1-UTC= 0.3682231, Accumulated Leap Seconds=22 + { 2445718.50, 53.817065 }, //19 January 1984, UT1-UTC= 0.3669347, Accumulated Leap Seconds=22 + { 2445719.50, 53.818545 }, //20 January 1984, UT1-UTC= 0.3654554, Accumulated Leap Seconds=22 + { 2445720.50, 53.820263 }, //21 January 1984, UT1-UTC= 0.3637371, Accumulated Leap Seconds=22 + { 2445721.50, 53.822194 }, //22 January 1984, UT1-UTC= 0.3618062, Accumulated Leap Seconds=22 + { 2445722.50, 53.824245 }, //23 January 1984, UT1-UTC= 0.3597547, Accumulated Leap Seconds=22 + { 2445723.50, 53.826293 }, //24 January 1984, UT1-UTC= 0.3577070, Accumulated Leap Seconds=22 + { 2445724.50, 53.828221 }, //25 January 1984, UT1-UTC= 0.3557785, Accumulated Leap Seconds=22 + { 2445725.50, 53.829951 }, //26 January 1984, UT1-UTC= 0.3540485, Accumulated Leap Seconds=22 + { 2445726.50, 53.831448 }, //27 January 1984, UT1-UTC= 0.3525517, Accumulated Leap Seconds=22 + { 2445727.50, 53.832722 }, //28 January 1984, UT1-UTC= 0.3512783, Accumulated Leap Seconds=22 + { 2445728.50, 53.833815 }, //29 January 1984, UT1-UTC= 0.3501851, Accumulated Leap Seconds=22 + { 2445729.50, 53.834789 }, //30 January 1984, UT1-UTC= 0.3492107, Accumulated Leap Seconds=22 + { 2445730.50, 53.835714 }, //31 January 1984, UT1-UTC= 0.3482856, Accumulated Leap Seconds=22 + { 2445731.50, 53.836662 }, //01 February 1984, UT1-UTC= 0.3473375, Accumulated Leap Seconds=22 + { 2445732.50, 53.837697 }, //02 February 1984, UT1-UTC= 0.3463029, Accumulated Leap Seconds=22 + { 2445733.50, 53.838865 }, //03 February 1984, UT1-UTC= 0.3451347, Accumulated Leap Seconds=22 + { 2445734.50, 53.840193 }, //04 February 1984, UT1-UTC= 0.3438073, Accumulated Leap Seconds=22 + { 2445735.50, 53.841682 }, //05 February 1984, UT1-UTC= 0.3423177, Accumulated Leap Seconds=22 + { 2445736.50, 53.843310 }, //06 February 1984, UT1-UTC= 0.3406896, Accumulated Leap Seconds=22 + { 2445737.50, 53.845031 }, //07 February 1984, UT1-UTC= 0.3389685, Accumulated Leap Seconds=22 + { 2445738.50, 53.846792 }, //08 February 1984, UT1-UTC= 0.3372082, Accumulated Leap Seconds=22 + { 2445739.50, 53.848536 }, //09 February 1984, UT1-UTC= 0.3354641, Accumulated Leap Seconds=22 + { 2445740.50, 53.850209 }, //10 February 1984, UT1-UTC= 0.3337909, Accumulated Leap Seconds=22 + { 2445741.50, 53.851773 }, //11 February 1984, UT1-UTC= 0.3322269, Accumulated Leap Seconds=22 + { 2445742.50, 53.853213 }, //12 February 1984, UT1-UTC= 0.3307868, Accumulated Leap Seconds=22 + { 2445743.50, 53.854549 }, //13 February 1984, UT1-UTC= 0.3294511, Accumulated Leap Seconds=22 + { 2445744.50, 53.855846 }, //14 February 1984, UT1-UTC= 0.3281535, Accumulated Leap Seconds=22 + { 2445745.50, 53.857214 }, //15 February 1984, UT1-UTC= 0.3267865, Accumulated Leap Seconds=22 + { 2445746.50, 53.858771 }, //16 February 1984, UT1-UTC= 0.3252288, Accumulated Leap Seconds=22 + { 2445747.50, 53.860608 }, //17 February 1984, UT1-UTC= 0.3233925, Accumulated Leap Seconds=22 + { 2445748.50, 53.862738 }, //18 February 1984, UT1-UTC= 0.3212624, Accumulated Leap Seconds=22 + { 2445749.50, 53.865089 }, //19 February 1984, UT1-UTC= 0.3189109, Accumulated Leap Seconds=22 + { 2445750.50, 53.867525 }, //20 February 1984, UT1-UTC= 0.3164745, Accumulated Leap Seconds=22 + { 2445751.50, 53.869892 }, //21 February 1984, UT1-UTC= 0.3141078, Accumulated Leap Seconds=22 + { 2445752.50, 53.872060 }, //22 February 1984, UT1-UTC= 0.3119404, Accumulated Leap Seconds=22 + { 2445753.50, 53.873954 }, //23 February 1984, UT1-UTC= 0.3100456, Accumulated Leap Seconds=22 + { 2445754.50, 53.875565 }, //24 February 1984, UT1-UTC= 0.3084352, Accumulated Leap Seconds=22 + { 2445755.50, 53.876926 }, //25 February 1984, UT1-UTC= 0.3070736, Accumulated Leap Seconds=22 + { 2445756.50, 53.878116 }, //26 February 1984, UT1-UTC= 0.3058842, Accumulated Leap Seconds=22 + { 2445757.50, 53.879227 }, //27 February 1984, UT1-UTC= 0.3047733, Accumulated Leap Seconds=22 + { 2445758.50, 53.880353 }, //28 February 1984, UT1-UTC= 0.3036466, Accumulated Leap Seconds=22 + { 2445759.50, 53.881579 }, //29 February 1984, UT1-UTC= 0.3024211, Accumulated Leap Seconds=22 + { 2445760.50, 53.882966 }, //01 March 1984, UT1-UTC= 0.3010335, Accumulated Leap Seconds=22 + { 2445761.50, 53.884541 }, //02 March 1984, UT1-UTC= 0.2994587, Accumulated Leap Seconds=22 + { 2445762.50, 53.886299 }, //03 March 1984, UT1-UTC= 0.2977010, Accumulated Leap Seconds=22 + { 2445763.50, 53.888213 }, //04 March 1984, UT1-UTC= 0.2957867, Accumulated Leap Seconds=22 + { 2445764.50, 53.890242 }, //05 March 1984, UT1-UTC= 0.2937584, Accumulated Leap Seconds=22 + { 2445765.50, 53.892329 }, //06 March 1984, UT1-UTC= 0.2916714, Accumulated Leap Seconds=22 + { 2445766.50, 53.894417 }, //07 March 1984, UT1-UTC= 0.2895828, Accumulated Leap Seconds=22 + { 2445767.50, 53.896451 }, //08 March 1984, UT1-UTC= 0.2875494, Accumulated Leap Seconds=22 + { 2445768.50, 53.898380 }, //09 March 1984, UT1-UTC= 0.2856198, Accumulated Leap Seconds=22 + { 2445769.50, 53.900177 }, //10 March 1984, UT1-UTC= 0.2838229, Accumulated Leap Seconds=22 + { 2445770.50, 53.901844 }, //11 March 1984, UT1-UTC= 0.2821564, Accumulated Leap Seconds=22 + { 2445771.50, 53.903429 }, //12 March 1984, UT1-UTC= 0.2805711, Accumulated Leap Seconds=22 + { 2445772.50, 53.905025 }, //13 March 1984, UT1-UTC= 0.2789747, Accumulated Leap Seconds=22 + { 2445773.50, 53.906752 }, //14 March 1984, UT1-UTC= 0.2772484, Accumulated Leap Seconds=22 + { 2445774.50, 53.908719 }, //15 March 1984, UT1-UTC= 0.2752812, Accumulated Leap Seconds=22 + { 2445775.50, 53.910987 }, //16 March 1984, UT1-UTC= 0.2730125, Accumulated Leap Seconds=22 + { 2445776.50, 53.913537 }, //17 March 1984, UT1-UTC= 0.2704625, Accumulated Leap Seconds=22 + { 2445777.50, 53.916267 }, //18 March 1984, UT1-UTC= 0.2677332, Accumulated Leap Seconds=22 + { 2445778.50, 53.919024 }, //19 March 1984, UT1-UTC= 0.2649764, Accumulated Leap Seconds=22 + { 2445779.50, 53.921658 }, //20 March 1984, UT1-UTC= 0.2623416, Accumulated Leap Seconds=22 + { 2445780.50, 53.924070 }, //21 March 1984, UT1-UTC= 0.2599304, Accumulated Leap Seconds=22 + { 2445781.50, 53.926218 }, //22 March 1984, UT1-UTC= 0.2577817, Accumulated Leap Seconds=22 + { 2445782.50, 53.928124 }, //23 March 1984, UT1-UTC= 0.2558761, Accumulated Leap Seconds=22 + { 2445783.50, 53.929845 }, //24 March 1984, UT1-UTC= 0.2541553, Accumulated Leap Seconds=22 + { 2445784.50, 53.931453 }, //25 March 1984, UT1-UTC= 0.2525470, Accumulated Leap Seconds=22 + { 2445785.50, 53.933022 }, //26 March 1984, UT1-UTC= 0.2509782, Accumulated Leap Seconds=22 + { 2445786.50, 53.934623 }, //27 March 1984, UT1-UTC= 0.2493771, Accumulated Leap Seconds=22 + { 2445787.50, 53.936315 }, //28 March 1984, UT1-UTC= 0.2476848, Accumulated Leap Seconds=22 + { 2445788.50, 53.938132 }, //29 March 1984, UT1-UTC= 0.2458675, Accumulated Leap Seconds=22 + { 2445789.50, 53.940082 }, //30 March 1984, UT1-UTC= 0.2439182, Accumulated Leap Seconds=22 + { 2445790.50, 53.942147 }, //31 March 1984, UT1-UTC= 0.2418529, Accumulated Leap Seconds=22 + { 2445791.50, 53.944290 }, //01 April 1984, UT1-UTC= 0.2397096, Accumulated Leap Seconds=22 + { 2445792.50, 53.946457 }, //02 April 1984, UT1-UTC= 0.2375427, Accumulated Leap Seconds=22 + { 2445793.50, 53.948586 }, //03 April 1984, UT1-UTC= 0.2354138, Accumulated Leap Seconds=22 + { 2445794.50, 53.950618 }, //04 April 1984, UT1-UTC= 0.2333819, Accumulated Leap Seconds=22 + { 2445795.50, 53.952509 }, //05 April 1984, UT1-UTC= 0.2314908, Accumulated Leap Seconds=22 + { 2445796.50, 53.954240 }, //06 April 1984, UT1-UTC= 0.2297600, Accumulated Leap Seconds=22 + { 2445797.50, 53.955824 }, //07 April 1984, UT1-UTC= 0.2281758, Accumulated Leap Seconds=22 + { 2445798.50, 53.957311 }, //08 April 1984, UT1-UTC= 0.2266885, Accumulated Leap Seconds=22 + { 2445799.50, 53.958786 }, //09 April 1984, UT1-UTC= 0.2252140, Accumulated Leap Seconds=22 + { 2445800.50, 53.960356 }, //10 April 1984, UT1-UTC= 0.2236441, Accumulated Leap Seconds=22 + { 2445801.50, 53.962132 }, //11 April 1984, UT1-UTC= 0.2218677, Accumulated Leap Seconds=22 + { 2445802.50, 53.964199 }, //12 April 1984, UT1-UTC= 0.2198005, Accumulated Leap Seconds=22 + { 2445803.50, 53.966579 }, //13 April 1984, UT1-UTC= 0.2174211, Accumulated Leap Seconds=22 + { 2445804.50, 53.969210 }, //14 April 1984, UT1-UTC= 0.2147900, Accumulated Leap Seconds=22 + { 2445805.50, 53.971961 }, //15 April 1984, UT1-UTC= 0.2120386, Accumulated Leap Seconds=22 + { 2445806.50, 53.974669 }, //16 April 1984, UT1-UTC= 0.2093306, Accumulated Leap Seconds=22 + { 2445807.50, 53.977192 }, //17 April 1984, UT1-UTC= 0.2068083, Accumulated Leap Seconds=22 + { 2445808.50, 53.979450 }, //18 April 1984, UT1-UTC= 0.2045502, Accumulated Leap Seconds=22 + { 2445809.50, 53.981442 }, //19 April 1984, UT1-UTC= 0.2025581, Accumulated Leap Seconds=22 + { 2445810.50, 53.983226 }, //20 April 1984, UT1-UTC= 0.2007738, Accumulated Leap Seconds=22 + { 2445811.50, 53.984882 }, //21 April 1984, UT1-UTC= 0.1991176, Accumulated Leap Seconds=22 + { 2445812.50, 53.986494 }, //22 April 1984, UT1-UTC= 0.1975056, Accumulated Leap Seconds=22 + { 2445813.50, 53.988133 }, //23 April 1984, UT1-UTC= 0.1958665, Accumulated Leap Seconds=22 + { 2445814.50, 53.989850 }, //24 April 1984, UT1-UTC= 0.1941500, Accumulated Leap Seconds=22 + { 2445815.50, 53.991673 }, //25 April 1984, UT1-UTC= 0.1923267, Accumulated Leap Seconds=22 + { 2445816.50, 53.993615 }, //26 April 1984, UT1-UTC= 0.1903852, Accumulated Leap Seconds=22 + { 2445817.50, 53.995667 }, //27 April 1984, UT1-UTC= 0.1883326, Accumulated Leap Seconds=22 + { 2445818.50, 53.997805 }, //28 April 1984, UT1-UTC= 0.1861949, Accumulated Leap Seconds=22 + { 2445819.50, 53.999986 }, //29 April 1984, UT1-UTC= 0.1840142, Accumulated Leap Seconds=22 + { 2445820.50, 54.002155 }, //30 April 1984, UT1-UTC= 0.1818451, Accumulated Leap Seconds=22 + { 2445821.50, 54.004248 }, //01 May 1984, UT1-UTC= 0.1797522, Accumulated Leap Seconds=22 + { 2445822.50, 54.006206 }, //02 May 1984, UT1-UTC= 0.1777936, Accumulated Leap Seconds=22 + { 2445823.50, 54.007993 }, //03 May 1984, UT1-UTC= 0.1760074, Accumulated Leap Seconds=22 + { 2445824.50, 54.009599 }, //04 May 1984, UT1-UTC= 0.1744012, Accumulated Leap Seconds=22 + { 2445825.50, 54.011056 }, //05 May 1984, UT1-UTC= 0.1729440, Accumulated Leap Seconds=22 + { 2445826.50, 54.012434 }, //06 May 1984, UT1-UTC= 0.1715659, Accumulated Leap Seconds=22 + { 2445827.50, 54.013832 }, //07 May 1984, UT1-UTC= 0.1701682, Accumulated Leap Seconds=22 + { 2445828.50, 54.015355 }, //08 May 1984, UT1-UTC= 0.1686447, Accumulated Leap Seconds=22 + { 2445829.50, 54.017093 }, //09 May 1984, UT1-UTC= 0.1669073, Accumulated Leap Seconds=22 + { 2445830.50, 54.019088 }, //10 May 1984, UT1-UTC= 0.1649122, Accumulated Leap Seconds=22 + { 2445831.50, 54.021316 }, //11 May 1984, UT1-UTC= 0.1626841, Accumulated Leap Seconds=22 + { 2445832.50, 54.023684 }, //12 May 1984, UT1-UTC= 0.1603162, Accumulated Leap Seconds=22 + { 2445833.50, 54.026054 }, //13 May 1984, UT1-UTC= 0.1579464, Accumulated Leap Seconds=22 + { 2445834.50, 54.028280 }, //14 May 1984, UT1-UTC= 0.1557197, Accumulated Leap Seconds=22 + { 2445835.50, 54.030255 }, //15 May 1984, UT1-UTC= 0.1537447, Accumulated Leap Seconds=22 + { 2445836.50, 54.031937 }, //16 May 1984, UT1-UTC= 0.1520625, Accumulated Leap Seconds=22 + { 2445837.50, 54.033355 }, //17 May 1984, UT1-UTC= 0.1506448, Accumulated Leap Seconds=22 + { 2445838.50, 54.034585 }, //18 May 1984, UT1-UTC= 0.1494152, Accumulated Leap Seconds=22 + { 2445839.50, 54.035720 }, //19 May 1984, UT1-UTC= 0.1482799, Accumulated Leap Seconds=22 + { 2445840.50, 54.036848 }, //20 May 1984, UT1-UTC= 0.1471519, Accumulated Leap Seconds=22 + { 2445841.50, 54.038036 }, //21 May 1984, UT1-UTC= 0.1459637, Accumulated Leap Seconds=22 + { 2445842.50, 54.039326 }, //22 May 1984, UT1-UTC= 0.1446738, Accumulated Leap Seconds=22 + { 2445843.50, 54.040733 }, //23 May 1984, UT1-UTC= 0.1432668, Accumulated Leap Seconds=22 + { 2445844.50, 54.042249 }, //24 May 1984, UT1-UTC= 0.1417508, Accumulated Leap Seconds=22 + { 2445845.50, 54.043845 }, //25 May 1984, UT1-UTC= 0.1401545, Accumulated Leap Seconds=22 + { 2445846.50, 54.045482 }, //26 May 1984, UT1-UTC= 0.1385176, Accumulated Leap Seconds=22 + { 2445847.50, 54.047112 }, //27 May 1984, UT1-UTC= 0.1368879, Accumulated Leap Seconds=22 + { 2445848.50, 54.048683 }, //28 May 1984, UT1-UTC= 0.1353168, Accumulated Leap Seconds=22 + { 2445849.50, 54.050147 }, //29 May 1984, UT1-UTC= 0.1338526, Accumulated Leap Seconds=22 + { 2445850.50, 54.051467 }, //30 May 1984, UT1-UTC= 0.1325325, Accumulated Leap Seconds=22 + { 2445851.50, 54.052624 }, //31 May 1984, UT1-UTC= 0.1313760, Accumulated Leap Seconds=22 + { 2445852.50, 54.053634 }, //01 June 1984, UT1-UTC= 0.1303658, Accumulated Leap Seconds=22 + { 2445853.50, 54.054557 }, //02 June 1984, UT1-UTC= 0.1294432, Accumulated Leap Seconds=22 + { 2445854.50, 54.055479 }, //03 June 1984, UT1-UTC= 0.1285205, Accumulated Leap Seconds=22 + { 2445855.50, 54.056498 }, //04 June 1984, UT1-UTC= 0.1275022, Accumulated Leap Seconds=22 + { 2445856.50, 54.057692 }, //05 June 1984, UT1-UTC= 0.1263082, Accumulated Leap Seconds=22 + { 2445857.50, 54.059101 }, //06 June 1984, UT1-UTC= 0.1248990, Accumulated Leap Seconds=22 + { 2445858.50, 54.060710 }, //07 June 1984, UT1-UTC= 0.1232903, Accumulated Leap Seconds=22 + { 2445859.50, 54.062446 }, //08 June 1984, UT1-UTC= 0.1215544, Accumulated Leap Seconds=22 + { 2445860.50, 54.064195 }, //09 June 1984, UT1-UTC= 0.1198048, Accumulated Leap Seconds=22 + { 2445861.50, 54.065837 }, //10 June 1984, UT1-UTC= 0.1181633, Accumulated Leap Seconds=22 + { 2445862.50, 54.067272 }, //11 June 1984, UT1-UTC= 0.1167280, Accumulated Leap Seconds=22 + { 2445863.50, 54.068451 }, //12 June 1984, UT1-UTC= 0.1155489, Accumulated Leap Seconds=22 + { 2445864.50, 54.069384 }, //13 June 1984, UT1-UTC= 0.1146165, Accumulated Leap Seconds=22 + { 2445865.50, 54.070129 }, //14 June 1984, UT1-UTC= 0.1138714, Accumulated Leap Seconds=22 + { 2445866.50, 54.070770 }, //15 June 1984, UT1-UTC= 0.1132296, Accumulated Leap Seconds=22 + { 2445867.50, 54.071396 }, //16 June 1984, UT1-UTC= 0.1126038, Accumulated Leap Seconds=22 + { 2445868.50, 54.072080 }, //17 June 1984, UT1-UTC= 0.1119198, Accumulated Leap Seconds=22 + { 2445869.50, 54.072874 }, //18 June 1984, UT1-UTC= 0.1111256, Accumulated Leap Seconds=22 + { 2445870.50, 54.073806 }, //19 June 1984, UT1-UTC= 0.1101944, Accumulated Leap Seconds=22 + { 2445871.50, 54.074875 }, //20 June 1984, UT1-UTC= 0.1091254, Accumulated Leap Seconds=22 + { 2445872.50, 54.076062 }, //21 June 1984, UT1-UTC= 0.1079382, Accumulated Leap Seconds=22 + { 2445873.50, 54.077331 }, //22 June 1984, UT1-UTC= 0.1066690, Accumulated Leap Seconds=22 + { 2445874.50, 54.078636 }, //23 June 1984, UT1-UTC= 0.1053636, Accumulated Leap Seconds=22 + { 2445875.50, 54.079927 }, //24 June 1984, UT1-UTC= 0.1040729, Accumulated Leap Seconds=22 + { 2445876.50, 54.081144 }, //25 June 1984, UT1-UTC= 0.1028558, Accumulated Leap Seconds=22 + { 2445877.50, 54.082232 }, //26 June 1984, UT1-UTC= 0.1017684, Accumulated Leap Seconds=22 + { 2445878.50, 54.083151 }, //27 June 1984, UT1-UTC= 0.1008493, Accumulated Leap Seconds=22 + { 2445879.50, 54.083895 }, //28 June 1984, UT1-UTC= 0.1001049, Accumulated Leap Seconds=22 + { 2445880.50, 54.084502 }, //29 June 1984, UT1-UTC= 0.0994975, Accumulated Leap Seconds=22 + { 2445881.50, 54.085052 }, //30 June 1984, UT1-UTC= 0.0989482, Accumulated Leap Seconds=22 + { 2445882.50, 54.085644 }, //01 July 1984, UT1-UTC= 0.0983560, Accumulated Leap Seconds=22 + { 2445883.50, 54.086369 }, //02 July 1984, UT1-UTC= 0.0976307, Accumulated Leap Seconds=22 + { 2445884.50, 54.087274 }, //03 July 1984, UT1-UTC= 0.0967263, Accumulated Leap Seconds=22 + { 2445885.50, 54.088342 }, //04 July 1984, UT1-UTC= 0.0956576, Accumulated Leap Seconds=22 + { 2445886.50, 54.089515 }, //05 July 1984, UT1-UTC= 0.0944846, Accumulated Leap Seconds=22 + { 2445887.50, 54.090700 }, //06 July 1984, UT1-UTC= 0.0933000, Accumulated Leap Seconds=22 + { 2445888.50, 54.091795 }, //07 July 1984, UT1-UTC= 0.0922050, Accumulated Leap Seconds=22 + { 2445889.50, 54.092719 }, //08 July 1984, UT1-UTC= 0.0912813, Accumulated Leap Seconds=22 + { 2445890.50, 54.093426 }, //09 July 1984, UT1-UTC= 0.0905740, Accumulated Leap Seconds=22 + { 2445891.50, 54.093912 }, //10 July 1984, UT1-UTC= 0.0900881, Accumulated Leap Seconds=22 + { 2445892.50, 54.094215 }, //11 July 1984, UT1-UTC= 0.0897854, Accumulated Leap Seconds=22 + { 2445893.50, 54.094402 }, //12 July 1984, UT1-UTC= 0.0895977, Accumulated Leap Seconds=22 + { 2445894.50, 54.094554 }, //13 July 1984, UT1-UTC= 0.0894462, Accumulated Leap Seconds=22 + { 2445895.50, 54.094743 }, //14 July 1984, UT1-UTC= 0.0892569, Accumulated Leap Seconds=22 + { 2445896.50, 54.095032 }, //15 July 1984, UT1-UTC= 0.0889679, Accumulated Leap Seconds=22 + { 2445897.50, 54.095460 }, //16 July 1984, UT1-UTC= 0.0885400, Accumulated Leap Seconds=22 + { 2445898.50, 54.096039 }, //17 July 1984, UT1-UTC= 0.0879610, Accumulated Leap Seconds=22 + { 2445899.50, 54.096758 }, //18 July 1984, UT1-UTC= 0.0872415, Accumulated Leap Seconds=22 + { 2445900.50, 54.097590 }, //19 July 1984, UT1-UTC= 0.0864095, Accumulated Leap Seconds=22 + { 2445901.50, 54.098489 }, //20 July 1984, UT1-UTC= 0.0855113, Accumulated Leap Seconds=22 + { 2445902.50, 54.099398 }, //21 July 1984, UT1-UTC= 0.0846016, Accumulated Leap Seconds=22 + { 2445903.50, 54.100267 }, //22 July 1984, UT1-UTC= 0.0837331, Accumulated Leap Seconds=22 + { 2445904.50, 54.101050 }, //23 July 1984, UT1-UTC= 0.0829500, Accumulated Leap Seconds=22 + { 2445905.50, 54.101722 }, //24 July 1984, UT1-UTC= 0.0822783, Accumulated Leap Seconds=22 + { 2445906.50, 54.102277 }, //25 July 1984, UT1-UTC= 0.0817233, Accumulated Leap Seconds=22 + { 2445907.50, 54.102744 }, //26 July 1984, UT1-UTC= 0.0812556, Accumulated Leap Seconds=22 + { 2445908.50, 54.103198 }, //27 July 1984, UT1-UTC= 0.0808025, Accumulated Leap Seconds=22 + { 2445909.50, 54.103744 }, //28 July 1984, UT1-UTC= 0.0802564, Accumulated Leap Seconds=22 + { 2445910.50, 54.104496 }, //29 July 1984, UT1-UTC= 0.0795038, Accumulated Leap Seconds=22 + { 2445911.50, 54.105534 }, //30 July 1984, UT1-UTC= 0.0784655, Accumulated Leap Seconds=22 + { 2445912.50, 54.106866 }, //31 July 1984, UT1-UTC= 0.0771344, Accumulated Leap Seconds=22 + { 2445913.50, 54.108412 }, //01 August 1984, UT1-UTC= 0.0755878, Accumulated Leap Seconds=22 + { 2445914.50, 54.110041 }, //02 August 1984, UT1-UTC= 0.0739594, Accumulated Leap Seconds=22 + { 2445915.50, 54.111600 }, //03 August 1984, UT1-UTC= 0.0723995, Accumulated Leap Seconds=22 + { 2445916.50, 54.112967 }, //04 August 1984, UT1-UTC= 0.0710330, Accumulated Leap Seconds=22 + { 2445917.50, 54.114068 }, //05 August 1984, UT1-UTC= 0.0699322, Accumulated Leap Seconds=22 + { 2445918.50, 54.114893 }, //06 August 1984, UT1-UTC= 0.0691069, Accumulated Leap Seconds=22 + { 2445919.50, 54.115496 }, //07 August 1984, UT1-UTC= 0.0685041, Accumulated Leap Seconds=22 + { 2445920.50, 54.115967 }, //08 August 1984, UT1-UTC= 0.0680327, Accumulated Leap Seconds=22 + { 2445921.50, 54.116406 }, //09 August 1984, UT1-UTC= 0.0675941, Accumulated Leap Seconds=22 + { 2445922.50, 54.116904 }, //10 August 1984, UT1-UTC= 0.0670961, Accumulated Leap Seconds=22 + { 2445923.50, 54.117536 }, //11 August 1984, UT1-UTC= 0.0664639, Accumulated Leap Seconds=22 + { 2445924.50, 54.118354 }, //12 August 1984, UT1-UTC= 0.0656464, Accumulated Leap Seconds=22 + { 2445925.50, 54.119378 }, //13 August 1984, UT1-UTC= 0.0646221, Accumulated Leap Seconds=22 + { 2445926.50, 54.120594 }, //14 August 1984, UT1-UTC= 0.0634058, Accumulated Leap Seconds=22 + { 2445927.50, 54.121963 }, //15 August 1984, UT1-UTC= 0.0620372, Accumulated Leap Seconds=22 + { 2445928.50, 54.123428 }, //16 August 1984, UT1-UTC= 0.0605719, Accumulated Leap Seconds=22 + { 2445929.50, 54.124924 }, //17 August 1984, UT1-UTC= 0.0590760, Accumulated Leap Seconds=22 + { 2445930.50, 54.126385 }, //18 August 1984, UT1-UTC= 0.0576148, Accumulated Leap Seconds=22 + { 2445931.50, 54.127755 }, //19 August 1984, UT1-UTC= 0.0562448, Accumulated Leap Seconds=22 + { 2445932.50, 54.128991 }, //20 August 1984, UT1-UTC= 0.0550085, Accumulated Leap Seconds=22 + { 2445933.50, 54.130070 }, //21 August 1984, UT1-UTC= 0.0539296, Accumulated Leap Seconds=22 + { 2445934.50, 54.130995 }, //22 August 1984, UT1-UTC= 0.0530050, Accumulated Leap Seconds=22 + { 2445935.50, 54.131810 }, //23 August 1984, UT1-UTC= 0.0521899, Accumulated Leap Seconds=22 + { 2445936.50, 54.132623 }, //24 August 1984, UT1-UTC= 0.0513765, Accumulated Leap Seconds=22 + { 2445937.50, 54.133576 }, //25 August 1984, UT1-UTC= 0.0504239, Accumulated Leap Seconds=22 + { 2445938.50, 54.134795 }, //26 August 1984, UT1-UTC= 0.0492045, Accumulated Leap Seconds=22 + { 2445939.50, 54.136349 }, //27 August 1984, UT1-UTC= 0.0476506, Accumulated Leap Seconds=22 + { 2445940.50, 54.138219 }, //28 August 1984, UT1-UTC= 0.0457809, Accumulated Leap Seconds=22 + { 2445941.50, 54.140298 }, //29 August 1984, UT1-UTC= 0.0437022, Accumulated Leap Seconds=22 + { 2445942.50, 54.142429 }, //30 August 1984, UT1-UTC= 0.0415708, Accumulated Leap Seconds=22 + { 2445943.50, 54.144463 }, //31 August 1984, UT1-UTC= 0.0395373, Accumulated Leap Seconds=22 + { 2445944.50, 54.146294 }, //01 September 1984, UT1-UTC= 0.0377058, Accumulated Leap Seconds=22 + { 2445945.50, 54.147871 }, //02 September 1984, UT1-UTC= 0.0361291, Accumulated Leap Seconds=22 + { 2445946.50, 54.149194 }, //03 September 1984, UT1-UTC= 0.0348056, Accumulated Leap Seconds=22 + { 2445947.50, 54.150311 }, //04 September 1984, UT1-UTC= 0.0336891, Accumulated Leap Seconds=22 + { 2445948.50, 54.151305 }, //05 September 1984, UT1-UTC= 0.0326946, Accumulated Leap Seconds=22 + { 2445949.50, 54.152262 }, //06 September 1984, UT1-UTC= 0.0317380, Accumulated Leap Seconds=22 + { 2445950.50, 54.153250 }, //07 September 1984, UT1-UTC= 0.0307500, Accumulated Leap Seconds=22 + { 2445951.50, 54.154326 }, //08 September 1984, UT1-UTC= 0.0296741, Accumulated Leap Seconds=22 + { 2445952.50, 54.155527 }, //09 September 1984, UT1-UTC= 0.0284734, Accumulated Leap Seconds=22 + { 2445953.50, 54.156865 }, //10 September 1984, UT1-UTC= 0.0271351, Accumulated Leap Seconds=22 + { 2445954.50, 54.158331 }, //11 September 1984, UT1-UTC= 0.0256687, Accumulated Leap Seconds=22 + { 2445955.50, 54.159895 }, //12 September 1984, UT1-UTC= 0.0241046, Accumulated Leap Seconds=22 + { 2445956.50, 54.161504 }, //13 September 1984, UT1-UTC= 0.0224955, Accumulated Leap Seconds=22 + { 2445957.50, 54.163100 }, //14 September 1984, UT1-UTC= 0.0208997, Accumulated Leap Seconds=22 + { 2445958.50, 54.164633 }, //15 September 1984, UT1-UTC= 0.0193671, Accumulated Leap Seconds=22 + { 2445959.50, 54.166066 }, //16 September 1984, UT1-UTC= 0.0179335, Accumulated Leap Seconds=22 + { 2445960.50, 54.167383 }, //17 September 1984, UT1-UTC= 0.0166165, Accumulated Leap Seconds=22 + { 2445961.50, 54.168586 }, //18 September 1984, UT1-UTC= 0.0154137, Accumulated Leap Seconds=22 + { 2445962.50, 54.169706 }, //19 September 1984, UT1-UTC= 0.0142939, Accumulated Leap Seconds=22 + { 2445963.50, 54.170809 }, //20 September 1984, UT1-UTC= 0.0131906, Accumulated Leap Seconds=22 + { 2445964.50, 54.171993 }, //21 September 1984, UT1-UTC= 0.0120066, Accumulated Leap Seconds=22 + { 2445965.50, 54.173371 }, //22 September 1984, UT1-UTC= 0.0106287, Accumulated Leap Seconds=22 + { 2445966.50, 54.175041 }, //23 September 1984, UT1-UTC= 0.0089587, Accumulated Leap Seconds=22 + { 2445967.50, 54.177038 }, //24 September 1984, UT1-UTC= 0.0069624, Accumulated Leap Seconds=22 + { 2445968.50, 54.179305 }, //25 September 1984, UT1-UTC= 0.0046949, Accumulated Leap Seconds=22 + { 2445969.50, 54.181713 }, //26 September 1984, UT1-UTC= 0.0022872, Accumulated Leap Seconds=22 + { 2445970.50, 54.184097 }, //27 September 1984, UT1-UTC=-0.0000970, Accumulated Leap Seconds=22 + { 2445971.50, 54.186305 }, //28 September 1984, UT1-UTC=-0.0023051, Accumulated Leap Seconds=22 + { 2445972.50, 54.188250 }, //29 September 1984, UT1-UTC=-0.0042499, Accumulated Leap Seconds=22 + { 2445973.50, 54.189928 }, //30 September 1984, UT1-UTC=-0.0059279, Accumulated Leap Seconds=22 + { 2445974.50, 54.191399 }, //01 October 1984, UT1-UTC=-0.0073988, Accumulated Leap Seconds=22 + { 2445975.50, 54.192753 }, //02 October 1984, UT1-UTC=-0.0087535, Accumulated Leap Seconds=22 + { 2445976.50, 54.194087 }, //03 October 1984, UT1-UTC=-0.0100868, Accumulated Leap Seconds=22 + { 2445977.50, 54.195477 }, //04 October 1984, UT1-UTC=-0.0114774, Accumulated Leap Seconds=22 + { 2445978.50, 54.196977 }, //05 October 1984, UT1-UTC=-0.0129767, Accumulated Leap Seconds=22 + { 2445979.50, 54.198609 }, //06 October 1984, UT1-UTC=-0.0146090, Accumulated Leap Seconds=22 + { 2445980.50, 54.200373 }, //07 October 1984, UT1-UTC=-0.0163734, Accumulated Leap Seconds=22 + { 2445981.50, 54.202248 }, //08 October 1984, UT1-UTC=-0.0182483, Accumulated Leap Seconds=22 + { 2445982.50, 54.204194 }, //09 October 1984, UT1-UTC=-0.0201941, Accumulated Leap Seconds=22 + { 2445983.50, 54.206161 }, //10 October 1984, UT1-UTC=-0.0221614, Accumulated Leap Seconds=22 + { 2445984.50, 54.208097 }, //11 October 1984, UT1-UTC=-0.0240968, Accumulated Leap Seconds=22 + { 2445985.50, 54.209950 }, //12 October 1984, UT1-UTC=-0.0259501, Accumulated Leap Seconds=22 + { 2445986.50, 54.211675 }, //13 October 1984, UT1-UTC=-0.0276754, Accumulated Leap Seconds=22 + { 2445987.50, 54.213245 }, //14 October 1984, UT1-UTC=-0.0292454, Accumulated Leap Seconds=22 + { 2445988.50, 54.214660 }, //15 October 1984, UT1-UTC=-0.0306600, Accumulated Leap Seconds=22 + { 2445989.50, 54.215953 }, //16 October 1984, UT1-UTC=-0.0319526, Accumulated Leap Seconds=22 + { 2445990.50, 54.217187 }, //17 October 1984, UT1-UTC=-0.0331875, Accumulated Leap Seconds=22 + { 2445991.50, 54.218460 }, //18 October 1984, UT1-UTC=-0.0344605, Accumulated Leap Seconds=22 + { 2445992.50, 54.219887 }, //19 October 1984, UT1-UTC=-0.0358872, Accumulated Leap Seconds=22 + { 2445993.50, 54.221579 }, //20 October 1984, UT1-UTC=-0.0375788, Accumulated Leap Seconds=22 + { 2445994.50, 54.223604 }, //21 October 1984, UT1-UTC=-0.0396037, Accumulated Leap Seconds=22 + { 2445995.50, 54.225953 }, //22 October 1984, UT1-UTC=-0.0419531, Accumulated Leap Seconds=22 + { 2445996.50, 54.228522 }, //23 October 1984, UT1-UTC=-0.0445216, Accumulated Leap Seconds=22 + { 2445997.50, 54.231139 }, //24 October 1984, UT1-UTC=-0.0471394, Accumulated Leap Seconds=22 + { 2445998.50, 54.233629 }, //25 October 1984, UT1-UTC=-0.0496295, Accumulated Leap Seconds=22 + { 2445999.50, 54.235862 }, //26 October 1984, UT1-UTC=-0.0518618, Accumulated Leap Seconds=22 + { 2446000.50, 54.237787 }, //27 October 1984, UT1-UTC=-0.0537872, Accumulated Leap Seconds=22 + { 2446001.50, 54.239439 }, //28 October 1984, UT1-UTC=-0.0554395, Accumulated Leap Seconds=22 + { 2446002.50, 54.240909 }, //29 October 1984, UT1-UTC=-0.0569086, Accumulated Leap Seconds=22 + { 2446003.50, 54.242301 }, //30 October 1984, UT1-UTC=-0.0583007, Accumulated Leap Seconds=22 + { 2446004.50, 54.243710 }, //31 October 1984, UT1-UTC=-0.0597100, Accumulated Leap Seconds=22 + { 2446005.50, 54.245202 }, //01 November 1984, UT1-UTC=-0.0612023, Accumulated Leap Seconds=22 + { 2446006.50, 54.246813 }, //02 November 1984, UT1-UTC=-0.0628134, Accumulated Leap Seconds=22 + { 2446007.50, 54.248552 }, //03 November 1984, UT1-UTC=-0.0645525, Accumulated Leap Seconds=22 + { 2446008.50, 54.250406 }, //04 November 1984, UT1-UTC=-0.0664059, Accumulated Leap Seconds=22 + { 2446009.50, 54.252343 }, //05 November 1984, UT1-UTC=-0.0683428, Accumulated Leap Seconds=22 + { 2446010.50, 54.254318 }, //06 November 1984, UT1-UTC=-0.0703182, Accumulated Leap Seconds=22 + { 2446011.50, 54.256269 }, //07 November 1984, UT1-UTC=-0.0722694, Accumulated Leap Seconds=22 + { 2446012.50, 54.258131 }, //08 November 1984, UT1-UTC=-0.0741305, Accumulated Leap Seconds=22 + { 2446013.50, 54.259845 }, //09 November 1984, UT1-UTC=-0.0758451, Accumulated Leap Seconds=22 + { 2446014.50, 54.261375 }, //10 November 1984, UT1-UTC=-0.0773755, Accumulated Leap Seconds=22 + { 2446015.50, 54.262714 }, //11 November 1984, UT1-UTC=-0.0787138, Accumulated Leap Seconds=22 + { 2446016.50, 54.263897 }, //12 November 1984, UT1-UTC=-0.0798973, Accumulated Leap Seconds=22 + { 2446017.50, 54.265000 }, //13 November 1984, UT1-UTC=-0.0809999, Accumulated Leap Seconds=22 + { 2446018.50, 54.266118 }, //14 November 1984, UT1-UTC=-0.0821181, Accumulated Leap Seconds=22 + { 2446019.50, 54.267356 }, //15 November 1984, UT1-UTC=-0.0833560, Accumulated Leap Seconds=22 + { 2446020.50, 54.268811 }, //16 November 1984, UT1-UTC=-0.0848107, Accumulated Leap Seconds=22 + { 2446021.50, 54.270553 }, //17 November 1984, UT1-UTC=-0.0865525, Accumulated Leap Seconds=22 + { 2446022.50, 54.272595 }, //18 November 1984, UT1-UTC=-0.0885955, Accumulated Leap Seconds=22 + { 2446023.50, 54.274886 }, //19 November 1984, UT1-UTC=-0.0908858, Accumulated Leap Seconds=22 + { 2446024.50, 54.277308 }, //20 November 1984, UT1-UTC=-0.0933085, Accumulated Leap Seconds=22 + { 2446025.50, 54.279712 }, //21 November 1984, UT1-UTC=-0.0957120, Accumulated Leap Seconds=22 + { 2446026.50, 54.281949 }, //22 November 1984, UT1-UTC=-0.0979486, Accumulated Leap Seconds=22 + { 2446027.50, 54.283924 }, //23 November 1984, UT1-UTC=-0.0999235, Accumulated Leap Seconds=22 + { 2446028.50, 54.285617 }, //24 November 1984, UT1-UTC=-0.1016168, Accumulated Leap Seconds=22 + { 2446029.50, 54.287078 }, //25 November 1984, UT1-UTC=-0.1030785, Accumulated Leap Seconds=22 + { 2446030.50, 54.288400 }, //26 November 1984, UT1-UTC=-0.1043996, Accumulated Leap Seconds=22 + { 2446031.50, 54.289687 }, //27 November 1984, UT1-UTC=-0.1056874, Accumulated Leap Seconds=22 + { 2446032.50, 54.291030 }, //28 November 1984, UT1-UTC=-0.1070300, Accumulated Leap Seconds=22 + { 2446033.50, 54.292480 }, //29 November 1984, UT1-UTC=-0.1084801, Accumulated Leap Seconds=22 + { 2446034.50, 54.294059 }, //30 November 1984, UT1-UTC=-0.1100592, Accumulated Leap Seconds=22 + { 2446035.50, 54.295762 }, //01 December 1984, UT1-UTC=-0.1117622, Accumulated Leap Seconds=22 + { 2446036.50, 54.297560 }, //02 December 1984, UT1-UTC=-0.1135605, Accumulated Leap Seconds=22 + { 2446037.50, 54.299411 }, //03 December 1984, UT1-UTC=-0.1154113, Accumulated Leap Seconds=22 + { 2446038.50, 54.301264 }, //04 December 1984, UT1-UTC=-0.1172637, Accumulated Leap Seconds=22 + { 2446039.50, 54.303066 }, //05 December 1984, UT1-UTC=-0.1190658, Accumulated Leap Seconds=22 + { 2446040.50, 54.304772 }, //06 December 1984, UT1-UTC=-0.1207718, Accumulated Leap Seconds=22 + { 2446041.50, 54.306342 }, //07 December 1984, UT1-UTC=-0.1223422, Accumulated Leap Seconds=22 + { 2446042.50, 54.307756 }, //08 December 1984, UT1-UTC=-0.1237556, Accumulated Leap Seconds=22 + { 2446043.50, 54.309023 }, //09 December 1984, UT1-UTC=-0.1250232, Accumulated Leap Seconds=22 + { 2446044.50, 54.310190 }, //10 December 1984, UT1-UTC=-0.1261900, Accumulated Leap Seconds=22 + { 2446045.50, 54.311330 }, //11 December 1984, UT1-UTC=-0.1273298, Accumulated Leap Seconds=22 + { 2446046.50, 54.312531 }, //12 December 1984, UT1-UTC=-0.1285315, Accumulated Leap Seconds=22 + { 2446047.50, 54.313880 }, //13 December 1984, UT1-UTC=-0.1298801, Accumulated Leap Seconds=22 + { 2446048.50, 54.315431 }, //14 December 1984, UT1-UTC=-0.1314314, Accumulated Leap Seconds=22 + { 2446049.50, 54.317196 }, //15 December 1984, UT1-UTC=-0.1331958, Accumulated Leap Seconds=22 + { 2446050.50, 54.319130 }, //16 December 1984, UT1-UTC=-0.1351298, Accumulated Leap Seconds=22 + { 2446051.50, 54.321141 }, //17 December 1984, UT1-UTC=-0.1371409, Accumulated Leap Seconds=22 + { 2446052.50, 54.323108 }, //18 December 1984, UT1-UTC=-0.1391081, Accumulated Leap Seconds=22 + { 2446053.50, 54.324911 }, //19 December 1984, UT1-UTC=-0.1409111, Accumulated Leap Seconds=22 + { 2446054.50, 54.326466 }, //20 December 1984, UT1-UTC=-0.1424658, Accumulated Leap Seconds=22 + { 2446055.50, 54.327750 }, //21 December 1984, UT1-UTC=-0.1437496, Accumulated Leap Seconds=22 + { 2446056.50, 54.328806 }, //22 December 1984, UT1-UTC=-0.1448064, Accumulated Leap Seconds=22 + { 2446057.50, 54.329726 }, //23 December 1984, UT1-UTC=-0.1457265, Accumulated Leap Seconds=22 + { 2446058.50, 54.330619 }, //24 December 1984, UT1-UTC=-0.1466187, Accumulated Leap Seconds=22 + { 2446059.50, 54.331590 }, //25 December 1984, UT1-UTC=-0.1475905, Accumulated Leap Seconds=22 + { 2446060.50, 54.332718 }, //26 December 1984, UT1-UTC=-0.1487180, Accumulated Leap Seconds=22 + { 2446061.50, 54.334034 }, //27 December 1984, UT1-UTC=-0.1500341, Accumulated Leap Seconds=22 + { 2446062.50, 54.335539 }, //28 December 1984, UT1-UTC=-0.1515390, Accumulated Leap Seconds=22 + { 2446063.50, 54.337208 }, //29 December 1984, UT1-UTC=-0.1532078, Accumulated Leap Seconds=22 + { 2446064.50, 54.338996 }, //30 December 1984, UT1-UTC=-0.1549960, Accumulated Leap Seconds=22 + { 2446065.50, 54.340848 }, //31 December 1984, UT1-UTC=-0.1568485, Accumulated Leap Seconds=22 + { 2446066.50, 54.342702 }, //01 January 1985, UT1-UTC=-0.1587024, Accumulated Leap Seconds=22 + { 2446067.50, 54.344499 }, //02 January 1985, UT1-UTC=-0.1604985, Accumulated Leap Seconds=22 + { 2446068.50, 54.346190 }, //03 January 1985, UT1-UTC=-0.1621898, Accumulated Leap Seconds=22 + { 2446069.50, 54.347747 }, //04 January 1985, UT1-UTC=-0.1637475, Accumulated Leap Seconds=22 + { 2446070.50, 54.349169 }, //05 January 1985, UT1-UTC=-0.1651692, Accumulated Leap Seconds=22 + { 2446071.50, 54.350489 }, //06 January 1985, UT1-UTC=-0.1664894, Accumulated Leap Seconds=22 + { 2446072.50, 54.351779 }, //07 January 1985, UT1-UTC=-0.1677786, Accumulated Leap Seconds=22 + { 2446073.50, 54.353131 }, //08 January 1985, UT1-UTC=-0.1691310, Accumulated Leap Seconds=22 + { 2446074.50, 54.354642 }, //09 January 1985, UT1-UTC=-0.1706416, Accumulated Leap Seconds=22 + { 2446075.50, 54.356378 }, //10 January 1985, UT1-UTC=-0.1723776, Accumulated Leap Seconds=22 + { 2446076.50, 54.358358 }, //11 January 1985, UT1-UTC=-0.1743582, Accumulated Leap Seconds=22 + { 2446077.50, 54.360541 }, //12 January 1985, UT1-UTC=-0.1765408, Accumulated Leap Seconds=22 + { 2446078.50, 54.362828 }, //13 January 1985, UT1-UTC=-0.1788282, Accumulated Leap Seconds=22 + { 2446079.50, 54.365096 }, //14 January 1985, UT1-UTC=-0.1810959, Accumulated Leap Seconds=22 + { 2446080.50, 54.367224 }, //15 January 1985, UT1-UTC=-0.1832243, Accumulated Leap Seconds=22 + { 2446081.50, 54.369122 }, //16 January 1985, UT1-UTC=-0.1851221, Accumulated Leap Seconds=22 + { 2446082.50, 54.370749 }, //17 January 1985, UT1-UTC=-0.1867494, Accumulated Leap Seconds=22 + { 2446083.50, 54.372125 }, //18 January 1985, UT1-UTC=-0.1881254, Accumulated Leap Seconds=22 + { 2446084.50, 54.373317 }, //19 January 1985, UT1-UTC=-0.1893172, Accumulated Leap Seconds=22 + { 2446085.50, 54.374420 }, //20 January 1985, UT1-UTC=-0.1904198, Accumulated Leap Seconds=22 + { 2446086.50, 54.375532 }, //21 January 1985, UT1-UTC=-0.1915325, Accumulated Leap Seconds=22 + { 2446087.50, 54.376732 }, //22 January 1985, UT1-UTC=-0.1927319, Accumulated Leap Seconds=22 + { 2446088.50, 54.378059 }, //23 January 1985, UT1-UTC=-0.1940590, Accumulated Leap Seconds=22 + { 2446089.50, 54.379518 }, //24 January 1985, UT1-UTC=-0.1955181, Accumulated Leap Seconds=22 + { 2446090.50, 54.381084 }, //25 January 1985, UT1-UTC=-0.1970843, Accumulated Leap Seconds=22 + { 2446091.50, 54.382714 }, //26 January 1985, UT1-UTC=-0.1987141, Accumulated Leap Seconds=22 + { 2446092.50, 54.384354 }, //27 January 1985, UT1-UTC=-0.2003543, Accumulated Leap Seconds=22 + { 2446093.50, 54.385950 }, //28 January 1985, UT1-UTC=-0.2019500, Accumulated Leap Seconds=22 + { 2446094.50, 54.387452 }, //29 January 1985, UT1-UTC=-0.2034525, Accumulated Leap Seconds=22 + { 2446095.50, 54.388825 }, //30 January 1985, UT1-UTC=-0.2048253, Accumulated Leap Seconds=22 + { 2446096.50, 54.390039 }, //31 January 1985, UT1-UTC=-0.2060393, Accumulated Leap Seconds=22 + { 2446097.50, 54.391086 }, //01 February 1985, UT1-UTC=-0.2070864, Accumulated Leap Seconds=22 + { 2446098.50, 54.391988 }, //02 February 1985, UT1-UTC=-0.2079876, Accumulated Leap Seconds=22 + { 2446099.50, 54.392799 }, //03 February 1985, UT1-UTC=-0.2087992, Accumulated Leap Seconds=22 + { 2446100.50, 54.393614 }, //04 February 1985, UT1-UTC=-0.2096142, Accumulated Leap Seconds=22 + { 2446101.50, 54.394551 }, //05 February 1985, UT1-UTC=-0.2105515, Accumulated Leap Seconds=22 + { 2446102.50, 54.395717 }, //06 February 1985, UT1-UTC=-0.2117173, Accumulated Leap Seconds=22 + { 2446103.50, 54.397169 }, //07 February 1985, UT1-UTC=-0.2131689, Accumulated Leap Seconds=22 + { 2446104.50, 54.398890 }, //08 February 1985, UT1-UTC=-0.2148902, Accumulated Leap Seconds=22 + { 2446105.50, 54.400793 }, //09 February 1985, UT1-UTC=-0.2167934, Accumulated Leap Seconds=22 + { 2446106.50, 54.402743 }, //10 February 1985, UT1-UTC=-0.2187426, Accumulated Leap Seconds=22 + { 2446107.50, 54.404600 }, //11 February 1985, UT1-UTC=-0.2206003, Accumulated Leap Seconds=22 + { 2446108.50, 54.406269 }, //12 February 1985, UT1-UTC=-0.2222693, Accumulated Leap Seconds=22 + { 2446109.50, 54.407713 }, //13 February 1985, UT1-UTC=-0.2237131, Accumulated Leap Seconds=22 + { 2446110.50, 54.408958 }, //14 February 1985, UT1-UTC=-0.2249583, Accumulated Leap Seconds=22 + { 2446111.50, 54.410078 }, //15 February 1985, UT1-UTC=-0.2260776, Accumulated Leap Seconds=22 + { 2446112.50, 54.411166 }, //16 February 1985, UT1-UTC=-0.2271657, Accumulated Leap Seconds=22 + { 2446113.50, 54.412317 }, //17 February 1985, UT1-UTC=-0.2283172, Accumulated Leap Seconds=22 + { 2446114.50, 54.413607 }, //18 February 1985, UT1-UTC=-0.2296066, Accumulated Leap Seconds=22 + { 2446115.50, 54.415077 }, //19 February 1985, UT1-UTC=-0.2310769, Accumulated Leap Seconds=22 + { 2446116.50, 54.416733 }, //20 February 1985, UT1-UTC=-0.2327332, Accumulated Leap Seconds=22 + { 2446117.50, 54.418546 }, //21 February 1985, UT1-UTC=-0.2345458, Accumulated Leap Seconds=22 + { 2446118.50, 54.420463 }, //22 February 1985, UT1-UTC=-0.2364631, Accumulated Leap Seconds=22 + { 2446119.50, 54.422419 }, //23 February 1985, UT1-UTC=-0.2384191, Accumulated Leap Seconds=22 + { 2446120.50, 54.424345 }, //24 February 1985, UT1-UTC=-0.2403446, Accumulated Leap Seconds=22 + { 2446121.50, 54.426179 }, //25 February 1985, UT1-UTC=-0.2421794, Accumulated Leap Seconds=22 + { 2446122.50, 54.427877 }, //26 February 1985, UT1-UTC=-0.2438770, Accumulated Leap Seconds=22 + { 2446123.50, 54.429410 }, //27 February 1985, UT1-UTC=-0.2454103, Accumulated Leap Seconds=22 + { 2446124.50, 54.430774 }, //28 February 1985, UT1-UTC=-0.2467737, Accumulated Leap Seconds=22 + { 2446125.50, 54.431988 }, //01 March 1985, UT1-UTC=-0.2479877, Accumulated Leap Seconds=22 + { 2446126.50, 54.433110 }, //02 March 1985, UT1-UTC=-0.2491099, Accumulated Leap Seconds=22 + { 2446127.50, 54.434233 }, //03 March 1985, UT1-UTC=-0.2502332, Accumulated Leap Seconds=22 + { 2446128.50, 54.435476 }, //04 March 1985, UT1-UTC=-0.2514761, Accumulated Leap Seconds=22 + { 2446129.50, 54.436962 }, //05 March 1985, UT1-UTC=-0.2529621, Accumulated Leap Seconds=22 + { 2446130.50, 54.438784 }, //06 March 1985, UT1-UTC=-0.2547844, Accumulated Leap Seconds=22 + { 2446131.50, 54.440973 }, //07 March 1985, UT1-UTC=-0.2569729, Accumulated Leap Seconds=22 + { 2446132.50, 54.443455 }, //08 March 1985, UT1-UTC=-0.2594551, Accumulated Leap Seconds=22 + { 2446133.50, 54.446082 }, //09 March 1985, UT1-UTC=-0.2620822, Accumulated Leap Seconds=22 + { 2446134.50, 54.448679 }, //10 March 1985, UT1-UTC=-0.2646794, Accumulated Leap Seconds=22 + { 2446135.50, 54.451102 }, //11 March 1985, UT1-UTC=-0.2671017, Accumulated Leap Seconds=22 + { 2446136.50, 54.453270 }, //12 March 1985, UT1-UTC=-0.2692698, Accumulated Leap Seconds=22 + { 2446137.50, 54.455181 }, //13 March 1985, UT1-UTC=-0.2711812, Accumulated Leap Seconds=22 + { 2446138.50, 54.456898 }, //14 March 1985, UT1-UTC=-0.2728985, Accumulated Leap Seconds=22 + { 2446139.50, 54.458518 }, //15 March 1985, UT1-UTC=-0.2745181, Accumulated Leap Seconds=22 + { 2446140.50, 54.460138 }, //16 March 1985, UT1-UTC=-0.2761381, Accumulated Leap Seconds=22 + { 2446141.50, 54.461839 }, //17 March 1985, UT1-UTC=-0.2778392, Accumulated Leap Seconds=22 + { 2446142.50, 54.463672 }, //18 March 1985, UT1-UTC=-0.2796716, Accumulated Leap Seconds=22 + { 2446143.50, 54.465652 }, //19 March 1985, UT1-UTC=-0.2816519, Accumulated Leap Seconds=22 + { 2446144.50, 54.467765 }, //20 March 1985, UT1-UTC=-0.2837655, Accumulated Leap Seconds=22 + { 2446145.50, 54.469972 }, //21 March 1985, UT1-UTC=-0.2859721, Accumulated Leap Seconds=22 + { 2446146.50, 54.472218 }, //22 March 1985, UT1-UTC=-0.2882180, Accumulated Leap Seconds=22 + { 2446147.50, 54.474445 }, //23 March 1985, UT1-UTC=-0.2904451, Accumulated Leap Seconds=22 + { 2446148.50, 54.476600 }, //24 March 1985, UT1-UTC=-0.2925996, Accumulated Leap Seconds=22 + { 2446149.50, 54.478639 }, //25 March 1985, UT1-UTC=-0.2946393, Accumulated Leap Seconds=22 + { 2446150.50, 54.480539 }, //26 March 1985, UT1-UTC=-0.2965388, Accumulated Leap Seconds=22 + { 2446151.50, 54.482284 }, //27 March 1985, UT1-UTC=-0.2982838, Accumulated Leap Seconds=22 + { 2446152.50, 54.483880 }, //28 March 1985, UT1-UTC=-0.2998803, Accumulated Leap Seconds=22 + { 2446153.50, 54.485359 }, //29 March 1985, UT1-UTC=-0.3013587, Accumulated Leap Seconds=22 + { 2446154.50, 54.486774 }, //30 March 1985, UT1-UTC=-0.3027741, Accumulated Leap Seconds=22 + { 2446155.50, 54.488208 }, //31 March 1985, UT1-UTC=-0.3042083, Accumulated Leap Seconds=22 + { 2446156.50, 54.489770 }, //01 April 1985, UT1-UTC=-0.3057699, Accumulated Leap Seconds=22 + { 2446157.50, 54.491560 }, //02 April 1985, UT1-UTC=-0.3075603, Accumulated Leap Seconds=22 + { 2446158.50, 54.493640 }, //03 April 1985, UT1-UTC=-0.3096395, Accumulated Leap Seconds=22 + { 2446159.50, 54.495992 }, //04 April 1985, UT1-UTC=-0.3119925, Accumulated Leap Seconds=22 + { 2446160.50, 54.498521 }, //05 April 1985, UT1-UTC=-0.3145206, Accumulated Leap Seconds=22 + { 2446161.50, 54.501058 }, //06 April 1985, UT1-UTC=-0.3170582, Accumulated Leap Seconds=22 + { 2446162.50, 54.503431 }, //07 April 1985, UT1-UTC=-0.3194308, Accumulated Leap Seconds=22 + { 2446163.50, 54.505518 }, //08 April 1985, UT1-UTC=-0.3215179, Accumulated Leap Seconds=22 + { 2446164.50, 54.507288 }, //09 April 1985, UT1-UTC=-0.3232883, Accumulated Leap Seconds=22 + { 2446165.50, 54.508799 }, //10 April 1985, UT1-UTC=-0.3247995, Accumulated Leap Seconds=22 + { 2446166.50, 54.510167 }, //11 April 1985, UT1-UTC=-0.3261666, Accumulated Leap Seconds=22 + { 2446167.50, 54.511518 }, //12 April 1985, UT1-UTC=-0.3275176, Accumulated Leap Seconds=22 + { 2446168.50, 54.512960 }, //13 April 1985, UT1-UTC=-0.3289597, Accumulated Leap Seconds=22 + { 2446169.50, 54.514561 }, //14 April 1985, UT1-UTC=-0.3305615, Accumulated Leap Seconds=22 + { 2446170.50, 54.516352 }, //15 April 1985, UT1-UTC=-0.3323518, Accumulated Leap Seconds=22 + { 2446171.50, 54.518322 }, //16 April 1985, UT1-UTC=-0.3343216, Accumulated Leap Seconds=22 + { 2446172.50, 54.520434 }, //17 April 1985, UT1-UTC=-0.3364336, Accumulated Leap Seconds=22 + { 2446173.50, 54.522632 }, //18 April 1985, UT1-UTC=-0.3386320, Accumulated Leap Seconds=22 + { 2446174.50, 54.524850 }, //19 April 1985, UT1-UTC=-0.3408504, Accumulated Leap Seconds=22 + { 2446175.50, 54.527023 }, //20 April 1985, UT1-UTC=-0.3430228, Accumulated Leap Seconds=22 + { 2446176.50, 54.529089 }, //21 April 1985, UT1-UTC=-0.3450892, Accumulated Leap Seconds=22 + { 2446177.50, 54.531002 }, //22 April 1985, UT1-UTC=-0.3470025, Accumulated Leap Seconds=22 + { 2446178.50, 54.532740 }, //23 April 1985, UT1-UTC=-0.3487397, Accumulated Leap Seconds=22 + { 2446179.50, 54.534305 }, //24 April 1985, UT1-UTC=-0.3503052, Accumulated Leap Seconds=22 + { 2446180.50, 54.535732 }, //25 April 1985, UT1-UTC=-0.3517320, Accumulated Leap Seconds=22 + { 2446181.50, 54.537082 }, //26 April 1985, UT1-UTC=-0.3530818, Accumulated Leap Seconds=22 + { 2446182.50, 54.538435 }, //27 April 1985, UT1-UTC=-0.3544347, Accumulated Leap Seconds=22 + { 2446183.50, 54.539885 }, //28 April 1985, UT1-UTC=-0.3558846, Accumulated Leap Seconds=22 + { 2446184.50, 54.541526 }, //29 April 1985, UT1-UTC=-0.3575265, Accumulated Leap Seconds=22 + { 2446185.50, 54.543434 }, //30 April 1985, UT1-UTC=-0.3594340, Accumulated Leap Seconds=22 + { 2446186.50, 54.545636 }, //01 May 1985, UT1-UTC=-0.3616360, Accumulated Leap Seconds=22 + { 2446187.50, 54.548084 }, //02 May 1985, UT1-UTC=-0.3640839, Accumulated Leap Seconds=22 + { 2446188.50, 54.550653 }, //03 May 1985, UT1-UTC=-0.3666535, Accumulated Leap Seconds=22 + { 2446189.50, 54.553181 }, //04 May 1985, UT1-UTC=-0.3691808, Accumulated Leap Seconds=22 + { 2446190.50, 54.555513 }, //05 May 1985, UT1-UTC=-0.3715135, Accumulated Leap Seconds=22 + { 2446191.50, 54.557551 }, //06 May 1985, UT1-UTC=-0.3735509, Accumulated Leap Seconds=22 + { 2446192.50, 54.559281 }, //07 May 1985, UT1-UTC=-0.3752815, Accumulated Leap Seconds=22 + { 2446193.50, 54.560775 }, //08 May 1985, UT1-UTC=-0.3767753, Accumulated Leap Seconds=22 + { 2446194.50, 54.562145 }, //09 May 1985, UT1-UTC=-0.3781449, Accumulated Leap Seconds=22 + { 2446195.50, 54.563505 }, //10 May 1985, UT1-UTC=-0.3795045, Accumulated Leap Seconds=22 + { 2446196.50, 54.564927 }, //11 May 1985, UT1-UTC=-0.3809268, Accumulated Leap Seconds=22 + { 2446197.50, 54.566457 }, //12 May 1985, UT1-UTC=-0.3824566, Accumulated Leap Seconds=22 + { 2446198.50, 54.568105 }, //13 May 1985, UT1-UTC=-0.3841048, Accumulated Leap Seconds=22 + { 2446199.50, 54.569855 }, //14 May 1985, UT1-UTC=-0.3858549, Accumulated Leap Seconds=22 + { 2446200.50, 54.571671 }, //15 May 1985, UT1-UTC=-0.3876707, Accumulated Leap Seconds=22 + { 2446201.50, 54.573494 }, //16 May 1985, UT1-UTC=-0.3894939, Accumulated Leap Seconds=22 + { 2446202.50, 54.575259 }, //17 May 1985, UT1-UTC=-0.3912588, Accumulated Leap Seconds=22 + { 2446203.50, 54.576911 }, //18 May 1985, UT1-UTC=-0.3929113, Accumulated Leap Seconds=22 + { 2446204.50, 54.578410 }, //19 May 1985, UT1-UTC=-0.3944104, Accumulated Leap Seconds=22 + { 2446205.50, 54.579736 }, //20 May 1985, UT1-UTC=-0.3957362, Accumulated Leap Seconds=22 + { 2446206.50, 54.580893 }, //21 May 1985, UT1-UTC=-0.3968926, Accumulated Leap Seconds=22 + { 2446207.50, 54.581908 }, //22 May 1985, UT1-UTC=-0.3979085, Accumulated Leap Seconds=22 + { 2446208.50, 54.582838 }, //23 May 1985, UT1-UTC=-0.3988384, Accumulated Leap Seconds=22 + { 2446209.50, 54.583758 }, //24 May 1985, UT1-UTC=-0.3997580, Accumulated Leap Seconds=22 + { 2446210.50, 54.584756 }, //25 May 1985, UT1-UTC=-0.4007565, Accumulated Leap Seconds=22 + { 2446211.50, 54.585931 }, //26 May 1985, UT1-UTC=-0.4019311, Accumulated Leap Seconds=22 + { 2446212.50, 54.587363 }, //27 May 1985, UT1-UTC=-0.4033630, Accumulated Leap Seconds=22 + { 2446213.50, 54.589096 }, //28 May 1985, UT1-UTC=-0.4050957, Accumulated Leap Seconds=22 + { 2446214.50, 54.591113 }, //29 May 1985, UT1-UTC=-0.4071132, Accumulated Leap Seconds=22 + { 2446215.50, 54.593330 }, //30 May 1985, UT1-UTC=-0.4093302, Accumulated Leap Seconds=22 + { 2446216.50, 54.595596 }, //31 May 1985, UT1-UTC=-0.4115962, Accumulated Leap Seconds=22 + { 2446217.50, 54.597741 }, //01 June 1985, UT1-UTC=-0.4137410, Accumulated Leap Seconds=22 + { 2446218.50, 54.599632 }, //02 June 1985, UT1-UTC=-0.4156320, Accumulated Leap Seconds=22 + { 2446219.50, 54.601212 }, //03 June 1985, UT1-UTC=-0.4172123, Accumulated Leap Seconds=22 + { 2446220.50, 54.602513 }, //04 June 1985, UT1-UTC=-0.4185133, Accumulated Leap Seconds=22 + { 2446221.50, 54.603641 }, //05 June 1985, UT1-UTC=-0.4196413, Accumulated Leap Seconds=22 + { 2446222.50, 54.604725 }, //06 June 1985, UT1-UTC=-0.4207246, Accumulated Leap Seconds=22 + { 2446223.50, 54.605867 }, //07 June 1985, UT1-UTC=-0.4218666, Accumulated Leap Seconds=22 + { 2446224.50, 54.607123 }, //08 June 1985, UT1-UTC=-0.4231233, Accumulated Leap Seconds=22 + { 2446225.50, 54.608503 }, //09 June 1985, UT1-UTC=-0.4245033, Accumulated Leap Seconds=22 + { 2446226.50, 54.609984 }, //10 June 1985, UT1-UTC=-0.4259840, Accumulated Leap Seconds=22 + { 2446227.50, 54.611521 }, //11 June 1985, UT1-UTC=-0.4275212, Accumulated Leap Seconds=22 + { 2446228.50, 54.613061 }, //12 June 1985, UT1-UTC=-0.4290608, Accumulated Leap Seconds=22 + { 2446229.50, 54.614546 }, //13 June 1985, UT1-UTC=-0.4305462, Accumulated Leap Seconds=22 + { 2446230.50, 54.615925 }, //14 June 1985, UT1-UTC=-0.4319251, Accumulated Leap Seconds=22 + { 2446231.50, 54.617157 }, //15 June 1985, UT1-UTC=-0.4331574, Accumulated Leap Seconds=22 + { 2446232.50, 54.618224 }, //16 June 1985, UT1-UTC=-0.4342243, Accumulated Leap Seconds=22 + { 2446233.50, 54.619132 }, //17 June 1985, UT1-UTC=-0.4351318, Accumulated Leap Seconds=22 + { 2446234.50, 54.619913 }, //18 June 1985, UT1-UTC=-0.4359130, Accumulated Leap Seconds=22 + { 2446235.50, 54.620626 }, //19 June 1985, UT1-UTC=-0.4366264, Accumulated Leap Seconds=22 + { 2446236.50, 54.621314 }, //20 June 1985, UT1-UTC=-0.4373143, Accumulated Leap Seconds=22 + { 2446237.50, 54.622027 }, //21 June 1985, UT1-UTC=-0.4380268, Accumulated Leap Seconds=22 + { 2446238.50, 54.622867 }, //22 June 1985, UT1-UTC=-0.4388666, Accumulated Leap Seconds=22 + { 2446239.50, 54.623931 }, //23 June 1985, UT1-UTC=-0.4399306, Accumulated Leap Seconds=22 + { 2446240.50, 54.625274 }, //24 June 1985, UT1-UTC=-0.4412745, Accumulated Leap Seconds=22 + { 2446241.50, 54.626873 }, //25 June 1985, UT1-UTC=-0.4428733, Accumulated Leap Seconds=22 + { 2446242.50, 54.628637 }, //26 June 1985, UT1-UTC=-0.4446372, Accumulated Leap Seconds=22 + { 2446243.50, 54.630436 }, //27 June 1985, UT1-UTC=-0.4464363, Accumulated Leap Seconds=22 + { 2446244.50, 54.632124 }, //28 June 1985, UT1-UTC=-0.4481239, Accumulated Leap Seconds=22 + { 2446245.50, 54.633570 }, //29 June 1985, UT1-UTC=-0.4495697, Accumulated Leap Seconds=22 + { 2446246.50, 54.634695 }, //30 June 1985, UT1-UTC=-0.4506950, Accumulated Leap Seconds=22 + { 2446247.50, 54.635496 }, //01 July 1985, UT1-UTC= 0.5485038, Accumulated Leap Seconds=23 + { 2446248.50, 54.636043 }, //02 July 1985, UT1-UTC= 0.5479567, Accumulated Leap Seconds=23 + { 2446249.50, 54.636448 }, //03 July 1985, UT1-UTC= 0.5475517, Accumulated Leap Seconds=23 + { 2446250.50, 54.636829 }, //04 July 1985, UT1-UTC= 0.5471715, Accumulated Leap Seconds=23 + { 2446251.50, 54.637276 }, //05 July 1985, UT1-UTC= 0.5467238, Accumulated Leap Seconds=23 + { 2446252.50, 54.637838 }, //06 July 1985, UT1-UTC= 0.5461623, Accumulated Leap Seconds=23 + { 2446253.50, 54.638511 }, //07 July 1985, UT1-UTC= 0.5454889, Accumulated Leap Seconds=23 + { 2446254.50, 54.639260 }, //08 July 1985, UT1-UTC= 0.5447398, Accumulated Leap Seconds=23 + { 2446255.50, 54.640032 }, //09 July 1985, UT1-UTC= 0.5439675, Accumulated Leap Seconds=23 + { 2446256.50, 54.640780 }, //10 July 1985, UT1-UTC= 0.5432201, Accumulated Leap Seconds=23 + { 2446257.50, 54.641459 }, //11 July 1985, UT1-UTC= 0.5425412, Accumulated Leap Seconds=23 + { 2446258.50, 54.642034 }, //12 July 1985, UT1-UTC= 0.5419664, Accumulated Leap Seconds=23 + { 2446259.50, 54.642480 }, //13 July 1985, UT1-UTC= 0.5415204, Accumulated Leap Seconds=23 + { 2446260.50, 54.642795 }, //14 July 1985, UT1-UTC= 0.5412047, Accumulated Leap Seconds=23 + { 2446261.50, 54.642999 }, //15 July 1985, UT1-UTC= 0.5410011, Accumulated Leap Seconds=23 + { 2446262.50, 54.643126 }, //16 July 1985, UT1-UTC= 0.5408741, Accumulated Leap Seconds=23 + { 2446263.50, 54.643235 }, //17 July 1985, UT1-UTC= 0.5407652, Accumulated Leap Seconds=23 + { 2446264.50, 54.643405 }, //18 July 1985, UT1-UTC= 0.5405949, Accumulated Leap Seconds=23 + { 2446265.50, 54.643725 }, //19 July 1985, UT1-UTC= 0.5402746, Accumulated Leap Seconds=23 + { 2446266.50, 54.644279 }, //20 July 1985, UT1-UTC= 0.5397209, Accumulated Leap Seconds=23 + { 2446267.50, 54.645110 }, //21 July 1985, UT1-UTC= 0.5388898, Accumulated Leap Seconds=23 + { 2446268.50, 54.646198 }, //22 July 1985, UT1-UTC= 0.5378020, Accumulated Leap Seconds=23 + { 2446269.50, 54.647453 }, //23 July 1985, UT1-UTC= 0.5365473, Accumulated Leap Seconds=23 + { 2446270.50, 54.648748 }, //24 July 1985, UT1-UTC= 0.5352523, Accumulated Leap Seconds=23 + { 2446271.50, 54.649949 }, //25 July 1985, UT1-UTC= 0.5340505, Accumulated Leap Seconds=23 + { 2446272.50, 54.650947 }, //26 July 1985, UT1-UTC= 0.5330528, Accumulated Leap Seconds=23 + { 2446273.50, 54.651678 }, //27 July 1985, UT1-UTC= 0.5323222, Accumulated Leap Seconds=23 + { 2446274.50, 54.652145 }, //28 July 1985, UT1-UTC= 0.5318552, Accumulated Leap Seconds=23 + { 2446275.50, 54.652418 }, //29 July 1985, UT1-UTC= 0.5315821, Accumulated Leap Seconds=23 + { 2446276.50, 54.652615 }, //30 July 1985, UT1-UTC= 0.5313851, Accumulated Leap Seconds=23 + { 2446277.50, 54.652856 }, //31 July 1985, UT1-UTC= 0.5311439, Accumulated Leap Seconds=23 + { 2446278.50, 54.653235 }, //01 August 1985, UT1-UTC= 0.5307648, Accumulated Leap Seconds=23 + { 2446279.50, 54.653803 }, //02 August 1985, UT1-UTC= 0.5301969, Accumulated Leap Seconds=23 + { 2446280.50, 54.654562 }, //03 August 1985, UT1-UTC= 0.5294384, Accumulated Leap Seconds=23 + { 2446281.50, 54.655468 }, //04 August 1985, UT1-UTC= 0.5285317, Accumulated Leap Seconds=23 + { 2446282.50, 54.656455 }, //05 August 1985, UT1-UTC= 0.5275450, Accumulated Leap Seconds=23 + { 2446283.50, 54.657447 }, //06 August 1985, UT1-UTC= 0.5265533, Accumulated Leap Seconds=23 + { 2446284.50, 54.658372 }, //07 August 1985, UT1-UTC= 0.5256277, Accumulated Leap Seconds=23 + { 2446285.50, 54.659174 }, //08 August 1985, UT1-UTC= 0.5248259, Accumulated Leap Seconds=23 + { 2446286.50, 54.659817 }, //09 August 1985, UT1-UTC= 0.5241828, Accumulated Leap Seconds=23 + { 2446287.50, 54.660288 }, //10 August 1985, UT1-UTC= 0.5237117, Accumulated Leap Seconds=23 + { 2446288.50, 54.660597 }, //11 August 1985, UT1-UTC= 0.5234032, Accumulated Leap Seconds=23 + { 2446289.50, 54.660777 }, //12 August 1985, UT1-UTC= 0.5232225, Accumulated Leap Seconds=23 + { 2446290.50, 54.660904 }, //13 August 1985, UT1-UTC= 0.5230958, Accumulated Leap Seconds=23 + { 2446291.50, 54.661068 }, //14 August 1985, UT1-UTC= 0.5229319, Accumulated Leap Seconds=23 + { 2446292.50, 54.661372 }, //15 August 1985, UT1-UTC= 0.5226284, Accumulated Leap Seconds=23 + { 2446293.50, 54.661914 }, //16 August 1985, UT1-UTC= 0.5220862, Accumulated Leap Seconds=23 + { 2446294.50, 54.662761 }, //17 August 1985, UT1-UTC= 0.5212385, Accumulated Leap Seconds=23 + { 2446295.50, 54.663922 }, //18 August 1985, UT1-UTC= 0.5200779, Accumulated Leap Seconds=23 + { 2446296.50, 54.665326 }, //19 August 1985, UT1-UTC= 0.5186741, Accumulated Leap Seconds=23 + { 2446297.50, 54.666843 }, //20 August 1985, UT1-UTC= 0.5171573, Accumulated Leap Seconds=23 + { 2446298.50, 54.668319 }, //21 August 1985, UT1-UTC= 0.5156806, Accumulated Leap Seconds=23 + { 2446299.50, 54.669624 }, //22 August 1985, UT1-UTC= 0.5143765, Accumulated Leap Seconds=23 + { 2446300.50, 54.670677 }, //23 August 1985, UT1-UTC= 0.5133225, Accumulated Leap Seconds=23 + { 2446301.50, 54.671465 }, //24 August 1985, UT1-UTC= 0.5125351, Accumulated Leap Seconds=23 + { 2446302.50, 54.672030 }, //25 August 1985, UT1-UTC= 0.5119700, Accumulated Leap Seconds=23 + { 2446303.50, 54.672468 }, //26 August 1985, UT1-UTC= 0.5115321, Accumulated Leap Seconds=23 + { 2446304.50, 54.672908 }, //27 August 1985, UT1-UTC= 0.5110924, Accumulated Leap Seconds=23 + { 2446305.50, 54.673465 }, //28 August 1985, UT1-UTC= 0.5105346, Accumulated Leap Seconds=23 + { 2446306.50, 54.674211 }, //29 August 1985, UT1-UTC= 0.5097895, Accumulated Leap Seconds=23 + { 2446307.50, 54.675163 }, //30 August 1985, UT1-UTC= 0.5088366, Accumulated Leap Seconds=23 + { 2446308.50, 54.676307 }, //31 August 1985, UT1-UTC= 0.5076929, Accumulated Leap Seconds=23 + { 2446309.50, 54.677594 }, //01 September 1985, UT1-UTC= 0.5064060, Accumulated Leap Seconds=23 + { 2446310.50, 54.678958 }, //02 September 1985, UT1-UTC= 0.5050416, Accumulated Leap Seconds=23 + { 2446311.50, 54.680320 }, //03 September 1985, UT1-UTC= 0.5036798, Accumulated Leap Seconds=23 + { 2446312.50, 54.681604 }, //04 September 1985, UT1-UTC= 0.5023956, Accumulated Leap Seconds=23 + { 2446313.50, 54.682759 }, //05 September 1985, UT1-UTC= 0.5012414, Accumulated Leap Seconds=23 + { 2446314.50, 54.683754 }, //06 September 1985, UT1-UTC= 0.5002459, Accumulated Leap Seconds=23 + { 2446315.50, 54.684583 }, //07 September 1985, UT1-UTC= 0.4994173, Accumulated Leap Seconds=23 + { 2446316.50, 54.685270 }, //08 September 1985, UT1-UTC= 0.4987303, Accumulated Leap Seconds=23 + { 2446317.50, 54.685868 }, //09 September 1985, UT1-UTC= 0.4981323, Accumulated Leap Seconds=23 + { 2446318.50, 54.686452 }, //10 September 1985, UT1-UTC= 0.4975475, Accumulated Leap Seconds=23 + { 2446319.50, 54.687121 }, //11 September 1985, UT1-UTC= 0.4968790, Accumulated Leap Seconds=23 + { 2446320.50, 54.687980 }, //12 September 1985, UT1-UTC= 0.4960204, Accumulated Leap Seconds=23 + { 2446321.50, 54.689126 }, //13 September 1985, UT1-UTC= 0.4948742, Accumulated Leap Seconds=23 + { 2446322.50, 54.690610 }, //14 September 1985, UT1-UTC= 0.4933905, Accumulated Leap Seconds=23 + { 2446323.50, 54.692405 }, //15 September 1985, UT1-UTC= 0.4915952, Accumulated Leap Seconds=23 + { 2446324.50, 54.694404 }, //16 September 1985, UT1-UTC= 0.4895964, Accumulated Leap Seconds=23 + { 2446325.50, 54.696442 }, //17 September 1985, UT1-UTC= 0.4875584, Accumulated Leap Seconds=23 + { 2446326.50, 54.698351 }, //18 September 1985, UT1-UTC= 0.4856490, Accumulated Leap Seconds=23 + { 2446327.50, 54.700013 }, //19 September 1985, UT1-UTC= 0.4839873, Accumulated Leap Seconds=23 + { 2446328.50, 54.701389 }, //20 September 1985, UT1-UTC= 0.4826109, Accumulated Leap Seconds=23 + { 2446329.50, 54.702522 }, //21 September 1985, UT1-UTC= 0.4814778, Accumulated Leap Seconds=23 + { 2446330.50, 54.703511 }, //22 September 1985, UT1-UTC= 0.4804895, Accumulated Leap Seconds=23 + { 2446331.50, 54.704482 }, //23 September 1985, UT1-UTC= 0.4795176, Accumulated Leap Seconds=23 + { 2446332.50, 54.705553 }, //24 September 1985, UT1-UTC= 0.4784473, Accumulated Leap Seconds=23 + { 2446333.50, 54.706799 }, //25 September 1985, UT1-UTC= 0.4772010, Accumulated Leap Seconds=23 + { 2446334.50, 54.708255 }, //26 September 1985, UT1-UTC= 0.4757446, Accumulated Leap Seconds=23 + { 2446335.50, 54.709914 }, //27 September 1985, UT1-UTC= 0.4740863, Accumulated Leap Seconds=23 + { 2446336.50, 54.711728 }, //28 September 1985, UT1-UTC= 0.4722721, Accumulated Leap Seconds=23 + { 2446337.50, 54.713627 }, //29 September 1985, UT1-UTC= 0.4703729, Accumulated Leap Seconds=23 + { 2446338.50, 54.715531 }, //30 September 1985, UT1-UTC= 0.4684689, Accumulated Leap Seconds=23 + { 2446339.50, 54.717364 }, //01 October 1985, UT1-UTC= 0.4666357, Accumulated Leap Seconds=23 + { 2446340.50, 54.719069 }, //02 October 1985, UT1-UTC= 0.4649305, Accumulated Leap Seconds=23 + { 2446341.50, 54.720622 }, //03 October 1985, UT1-UTC= 0.4633780, Accumulated Leap Seconds=23 + { 2446342.50, 54.722022 }, //04 October 1985, UT1-UTC= 0.4619783, Accumulated Leap Seconds=23 + { 2446343.50, 54.723295 }, //05 October 1985, UT1-UTC= 0.4607050, Accumulated Leap Seconds=23 + { 2446344.50, 54.724489 }, //06 October 1985, UT1-UTC= 0.4595111, Accumulated Leap Seconds=23 + { 2446345.50, 54.725666 }, //07 October 1985, UT1-UTC= 0.4583344, Accumulated Leap Seconds=23 + { 2446346.50, 54.726910 }, //08 October 1985, UT1-UTC= 0.4570897, Accumulated Leap Seconds=23 + { 2446347.50, 54.728319 }, //09 October 1985, UT1-UTC= 0.4556811, Accumulated Leap Seconds=23 + { 2446348.50, 54.729980 }, //10 October 1985, UT1-UTC= 0.4540203, Accumulated Leap Seconds=23 + { 2446349.50, 54.731951 }, //11 October 1985, UT1-UTC= 0.4520493, Accumulated Leap Seconds=23 + { 2446350.50, 54.734233 }, //12 October 1985, UT1-UTC= 0.4497670, Accumulated Leap Seconds=23 + { 2446351.50, 54.736754 }, //13 October 1985, UT1-UTC= 0.4472462, Accumulated Leap Seconds=23 + { 2446352.50, 54.739366 }, //14 October 1985, UT1-UTC= 0.4446337, Accumulated Leap Seconds=23 + { 2446353.50, 54.741890 }, //15 October 1985, UT1-UTC= 0.4421096, Accumulated Leap Seconds=23 + { 2446354.50, 54.744173 }, //16 October 1985, UT1-UTC= 0.4398265, Accumulated Leap Seconds=23 + { 2446355.50, 54.746142 }, //17 October 1985, UT1-UTC= 0.4378582, Accumulated Leap Seconds=23 + { 2446356.50, 54.747819 }, //18 October 1985, UT1-UTC= 0.4361807, Accumulated Leap Seconds=23 + { 2446357.50, 54.749307 }, //19 October 1985, UT1-UTC= 0.4346926, Accumulated Leap Seconds=23 + { 2446358.50, 54.750745 }, //20 October 1985, UT1-UTC= 0.4332550, Accumulated Leap Seconds=23 + { 2446359.50, 54.752257 }, //21 October 1985, UT1-UTC= 0.4317426, Accumulated Leap Seconds=23 + { 2446360.50, 54.753928 }, //22 October 1985, UT1-UTC= 0.4300719, Accumulated Leap Seconds=23 + { 2446361.50, 54.755792 }, //23 October 1985, UT1-UTC= 0.4282081, Accumulated Leap Seconds=23 + { 2446362.50, 54.757839 }, //24 October 1985, UT1-UTC= 0.4261608, Accumulated Leap Seconds=23 + { 2446363.50, 54.760031 }, //25 October 1985, UT1-UTC= 0.4239694, Accumulated Leap Seconds=23 + { 2446364.50, 54.762308 }, //26 October 1985, UT1-UTC= 0.4216922, Accumulated Leap Seconds=23 + { 2446365.50, 54.764602 }, //27 October 1985, UT1-UTC= 0.4193983, Accumulated Leap Seconds=23 + { 2446366.50, 54.766835 }, //28 October 1985, UT1-UTC= 0.4171647, Accumulated Leap Seconds=23 + { 2446367.50, 54.768939 }, //29 October 1985, UT1-UTC= 0.4150614, Accumulated Leap Seconds=23 + { 2446368.50, 54.770860 }, //30 October 1985, UT1-UTC= 0.4131396, Accumulated Leap Seconds=23 + { 2446369.50, 54.772576 }, //31 October 1985, UT1-UTC= 0.4114242, Accumulated Leap Seconds=23 + { 2446370.50, 54.774096 }, //01 November 1985, UT1-UTC= 0.4099043, Accumulated Leap Seconds=23 + { 2446371.50, 54.775460 }, //02 November 1985, UT1-UTC= 0.4085396, Accumulated Leap Seconds=23 + { 2446372.50, 54.776729 }, //03 November 1985, UT1-UTC= 0.4072712, Accumulated Leap Seconds=23 + { 2446373.50, 54.777973 }, //04 November 1985, UT1-UTC= 0.4060266, Accumulated Leap Seconds=23 + { 2446374.50, 54.779275 }, //05 November 1985, UT1-UTC= 0.4047250, Accumulated Leap Seconds=23 + { 2446375.50, 54.780717 }, //06 November 1985, UT1-UTC= 0.4032825, Accumulated Leap Seconds=23 + { 2446376.50, 54.782383 }, //07 November 1985, UT1-UTC= 0.4016172, Accumulated Leap Seconds=23 + { 2446377.50, 54.784321 }, //08 November 1985, UT1-UTC= 0.3996793, Accumulated Leap Seconds=23 + { 2446378.50, 54.786521 }, //09 November 1985, UT1-UTC= 0.3974790, Accumulated Leap Seconds=23 + { 2446379.50, 54.788900 }, //10 November 1985, UT1-UTC= 0.3950995, Accumulated Leap Seconds=23 + { 2446380.50, 54.791318 }, //11 November 1985, UT1-UTC= 0.3926824, Accumulated Leap Seconds=23 + { 2446381.50, 54.793605 }, //12 November 1985, UT1-UTC= 0.3903947, Accumulated Leap Seconds=23 + { 2446382.50, 54.795632 }, //13 November 1985, UT1-UTC= 0.3883684, Accumulated Leap Seconds=23 + { 2446383.50, 54.797354 }, //14 November 1985, UT1-UTC= 0.3866464, Accumulated Leap Seconds=23 + { 2446384.50, 54.798826 }, //15 November 1985, UT1-UTC= 0.3851739, Accumulated Leap Seconds=23 + { 2446385.50, 54.800177 }, //16 November 1985, UT1-UTC= 0.3838234, Accumulated Leap Seconds=23 + { 2446386.50, 54.801552 }, //17 November 1985, UT1-UTC= 0.3824478, Accumulated Leap Seconds=23 + { 2446387.50, 54.803068 }, //18 November 1985, UT1-UTC= 0.3809319, Accumulated Leap Seconds=23 + { 2446388.50, 54.804782 }, //19 November 1985, UT1-UTC= 0.3792178, Accumulated Leap Seconds=23 + { 2446389.50, 54.806695 }, //20 November 1985, UT1-UTC= 0.3773048, Accumulated Leap Seconds=23 + { 2446390.50, 54.808764 }, //21 November 1985, UT1-UTC= 0.3752355, Accumulated Leap Seconds=23 + { 2446391.50, 54.810905 }, //22 November 1985, UT1-UTC= 0.3730954, Accumulated Leap Seconds=23 + { 2446392.50, 54.813019 }, //23 November 1985, UT1-UTC= 0.3709805, Accumulated Leap Seconds=23 + { 2446393.50, 54.815050 }, //24 November 1985, UT1-UTC= 0.3689505, Accumulated Leap Seconds=23 + { 2446394.50, 54.816950 }, //25 November 1985, UT1-UTC= 0.3670495, Accumulated Leap Seconds=23 + { 2446395.50, 54.818693 }, //26 November 1985, UT1-UTC= 0.3653072, Accumulated Leap Seconds=23 + { 2446396.50, 54.820261 }, //27 November 1985, UT1-UTC= 0.3637393, Accumulated Leap Seconds=23 + { 2446397.50, 54.821662 }, //28 November 1985, UT1-UTC= 0.3623383, Accumulated Leap Seconds=23 + { 2446398.50, 54.822929 }, //29 November 1985, UT1-UTC= 0.3610709, Accumulated Leap Seconds=23 + { 2446399.50, 54.824118 }, //30 November 1985, UT1-UTC= 0.3598815, Accumulated Leap Seconds=23 + { 2446400.50, 54.825302 }, //01 December 1985, UT1-UTC= 0.3586977, Accumulated Leap Seconds=23 + { 2446401.50, 54.826558 }, //02 December 1985, UT1-UTC= 0.3574421, Accumulated Leap Seconds=23 + { 2446402.50, 54.827958 }, //03 December 1985, UT1-UTC= 0.3560418, Accumulated Leap Seconds=23 + { 2446403.50, 54.829566 }, //04 December 1985, UT1-UTC= 0.3544335, Accumulated Leap Seconds=23 + { 2446404.50, 54.831425 }, //05 December 1985, UT1-UTC= 0.3525745, Accumulated Leap Seconds=23 + { 2446405.50, 54.833538 }, //06 December 1985, UT1-UTC= 0.3504624, Accumulated Leap Seconds=23 + { 2446406.50, 54.835843 }, //07 December 1985, UT1-UTC= 0.3481569, Accumulated Leap Seconds=23 + { 2446407.50, 54.838221 }, //08 December 1985, UT1-UTC= 0.3457790, Accumulated Leap Seconds=23 + { 2446408.50, 54.840519 }, //09 December 1985, UT1-UTC= 0.3434813, Accumulated Leap Seconds=23 + { 2446409.50, 54.842597 }, //10 December 1985, UT1-UTC= 0.3414028, Accumulated Leap Seconds=23 + { 2446410.50, 54.844379 }, //11 December 1985, UT1-UTC= 0.3396208, Accumulated Leap Seconds=23 + { 2446411.50, 54.845871 }, //12 December 1985, UT1-UTC= 0.3381291, Accumulated Leap Seconds=23 + { 2446412.50, 54.847159 }, //13 December 1985, UT1-UTC= 0.3368413, Accumulated Leap Seconds=23 + { 2446413.50, 54.848375 }, //14 December 1985, UT1-UTC= 0.3356254, Accumulated Leap Seconds=23 + { 2446414.50, 54.849646 }, //15 December 1985, UT1-UTC= 0.3343543, Accumulated Leap Seconds=23 + { 2446415.50, 54.851054 }, //16 December 1985, UT1-UTC= 0.3329457, Accumulated Leap Seconds=23 + { 2446416.50, 54.852625 }, //17 December 1985, UT1-UTC= 0.3313753, Accumulated Leap Seconds=23 + { 2446417.50, 54.854328 }, //18 December 1985, UT1-UTC= 0.3296716, Accumulated Leap Seconds=23 + { 2446418.50, 54.856106 }, //19 December 1985, UT1-UTC= 0.3278943, Accumulated Leap Seconds=23 + { 2446419.50, 54.857888 }, //20 December 1985, UT1-UTC= 0.3261116, Accumulated Leap Seconds=23 + { 2446420.50, 54.859616 }, //21 December 1985, UT1-UTC= 0.3243840, Accumulated Leap Seconds=23 + { 2446421.50, 54.861231 }, //22 December 1985, UT1-UTC= 0.3227687, Accumulated Leap Seconds=23 + { 2446422.50, 54.862687 }, //23 December 1985, UT1-UTC= 0.3213131, Accumulated Leap Seconds=23 + { 2446423.50, 54.863956 }, //24 December 1985, UT1-UTC= 0.3200444, Accumulated Leap Seconds=23 + { 2446424.50, 54.865034 }, //25 December 1985, UT1-UTC= 0.3189663, Accumulated Leap Seconds=23 + { 2446425.50, 54.865942 }, //26 December 1985, UT1-UTC= 0.3180578, Accumulated Leap Seconds=23 + { 2446426.50, 54.866727 }, //27 December 1985, UT1-UTC= 0.3172731, Accumulated Leap Seconds=23 + { 2446427.50, 54.867454 }, //28 December 1985, UT1-UTC= 0.3165460, Accumulated Leap Seconds=23 + { 2446428.50, 54.868201 }, //29 December 1985, UT1-UTC= 0.3157992, Accumulated Leap Seconds=23 + { 2446429.50, 54.869043 }, //30 December 1985, UT1-UTC= 0.3149569, Accumulated Leap Seconds=23 + { 2446430.50, 54.870044 }, //31 December 1985, UT1-UTC= 0.3139556, Accumulated Leap Seconds=23 + { 2446431.50, 54.871251 }, //01 January 1986, UT1-UTC= 0.3127488, Accumulated Leap Seconds=23 + { 2446432.50, 54.872673 }, //02 January 1986, UT1-UTC= 0.3113274, Accumulated Leap Seconds=23 + { 2446433.50, 54.874272 }, //03 January 1986, UT1-UTC= 0.3097276, Accumulated Leap Seconds=23 + { 2446434.50, 54.875972 }, //04 January 1986, UT1-UTC= 0.3080284, Accumulated Leap Seconds=23 + { 2446435.50, 54.877661 }, //05 January 1986, UT1-UTC= 0.3063385, Accumulated Leap Seconds=23 + { 2446436.50, 54.879225 }, //06 January 1986, UT1-UTC= 0.3047745, Accumulated Leap Seconds=23 + { 2446437.50, 54.880575 }, //07 January 1986, UT1-UTC= 0.3034249, Accumulated Leap Seconds=23 + { 2446438.50, 54.881689 }, //08 January 1986, UT1-UTC= 0.3023108, Accumulated Leap Seconds=23 + { 2446439.50, 54.882629 }, //09 January 1986, UT1-UTC= 0.3013713, Accumulated Leap Seconds=23 + { 2446440.50, 54.883514 }, //10 January 1986, UT1-UTC= 0.3004860, Accumulated Leap Seconds=23 + { 2446441.50, 54.884480 }, //11 January 1986, UT1-UTC= 0.2995195, Accumulated Leap Seconds=23 + { 2446442.50, 54.885637 }, //12 January 1986, UT1-UTC= 0.2983631, Accumulated Leap Seconds=23 + { 2446443.50, 54.887033 }, //13 January 1986, UT1-UTC= 0.2969669, Accumulated Leap Seconds=23 + { 2446444.50, 54.888654 }, //14 January 1986, UT1-UTC= 0.2953462, Accumulated Leap Seconds=23 + { 2446445.50, 54.890434 }, //15 January 1986, UT1-UTC= 0.2935662, Accumulated Leap Seconds=23 + { 2446446.50, 54.892272 }, //16 January 1986, UT1-UTC= 0.2917281, Accumulated Leap Seconds=23 + { 2446447.50, 54.894066 }, //17 January 1986, UT1-UTC= 0.2899339, Accumulated Leap Seconds=23 + { 2446448.50, 54.895748 }, //18 January 1986, UT1-UTC= 0.2882517, Accumulated Leap Seconds=23 + { 2446449.50, 54.897275 }, //19 January 1986, UT1-UTC= 0.2867252, Accumulated Leap Seconds=23 + { 2446450.50, 54.898625 }, //20 January 1986, UT1-UTC= 0.2853748, Accumulated Leap Seconds=23 + { 2446451.50, 54.899811 }, //21 January 1986, UT1-UTC= 0.2841888, Accumulated Leap Seconds=23 + { 2446452.50, 54.900861 }, //22 January 1986, UT1-UTC= 0.2831394, Accumulated Leap Seconds=23 + { 2446453.50, 54.901820 }, //23 January 1986, UT1-UTC= 0.2821802, Accumulated Leap Seconds=23 + { 2446454.50, 54.902755 }, //24 January 1986, UT1-UTC= 0.2812455, Accumulated Leap Seconds=23 + { 2446455.50, 54.903743 }, //25 January 1986, UT1-UTC= 0.2802567, Accumulated Leap Seconds=23 + { 2446456.50, 54.904871 }, //26 January 1986, UT1-UTC= 0.2791292, Accumulated Leap Seconds=23 + { 2446457.50, 54.906212 }, //27 January 1986, UT1-UTC= 0.2777884, Accumulated Leap Seconds=23 + { 2446458.50, 54.907812 }, //28 January 1986, UT1-UTC= 0.2761882, Accumulated Leap Seconds=23 + { 2446459.50, 54.909674 }, //29 January 1986, UT1-UTC= 0.2743264, Accumulated Leap Seconds=23 + { 2446460.50, 54.911752 }, //30 January 1986, UT1-UTC= 0.2722484, Accumulated Leap Seconds=23 + { 2446461.50, 54.913951 }, //31 January 1986, UT1-UTC= 0.2700491, Accumulated Leap Seconds=23 + { 2446462.50, 54.916146 }, //01 February 1986, UT1-UTC= 0.2678540, Accumulated Leap Seconds=23 + { 2446463.50, 54.918214 }, //02 February 1986, UT1-UTC= 0.2657865, Accumulated Leap Seconds=23 + { 2446464.50, 54.920060 }, //03 February 1986, UT1-UTC= 0.2639402, Accumulated Leap Seconds=23 + { 2446465.50, 54.921648 }, //04 February 1986, UT1-UTC= 0.2623517, Accumulated Leap Seconds=23 + { 2446466.50, 54.923012 }, //05 February 1986, UT1-UTC= 0.2609880, Accumulated Leap Seconds=23 + { 2446467.50, 54.924243 }, //06 February 1986, UT1-UTC= 0.2597569, Accumulated Leap Seconds=23 + { 2446468.50, 54.925464 }, //07 February 1986, UT1-UTC= 0.2585362, Accumulated Leap Seconds=23 + { 2446469.50, 54.926792 }, //08 February 1986, UT1-UTC= 0.2572082, Accumulated Leap Seconds=23 + { 2446470.50, 54.928303 }, //09 February 1986, UT1-UTC= 0.2556970, Accumulated Leap Seconds=23 + { 2446471.50, 54.930014 }, //10 February 1986, UT1-UTC= 0.2539859, Accumulated Leap Seconds=23 + { 2446472.50, 54.931884 }, //11 February 1986, UT1-UTC= 0.2521160, Accumulated Leap Seconds=23 + { 2446473.50, 54.933837 }, //12 February 1986, UT1-UTC= 0.2501631, Accumulated Leap Seconds=23 + { 2446474.50, 54.935788 }, //13 February 1986, UT1-UTC= 0.2482124, Accumulated Leap Seconds=23 + { 2446475.50, 54.937658 }, //14 February 1986, UT1-UTC= 0.2463422, Accumulated Leap Seconds=23 + { 2446476.50, 54.939381 }, //15 February 1986, UT1-UTC= 0.2446187, Accumulated Leap Seconds=23 + { 2446477.50, 54.940911 }, //16 February 1986, UT1-UTC= 0.2430887, Accumulated Leap Seconds=23 + { 2446478.50, 54.942225 }, //17 February 1986, UT1-UTC= 0.2417748, Accumulated Leap Seconds=23 + { 2446479.50, 54.943328 }, //18 February 1986, UT1-UTC= 0.2406717, Accumulated Leap Seconds=23 + { 2446480.50, 54.944254 }, //19 February 1986, UT1-UTC= 0.2397458, Accumulated Leap Seconds=23 + { 2446481.50, 54.945072 }, //20 February 1986, UT1-UTC= 0.2389280, Accumulated Leap Seconds=23 + { 2446482.50, 54.945869 }, //21 February 1986, UT1-UTC= 0.2381308, Accumulated Leap Seconds=23 + { 2446483.50, 54.946740 }, //22 February 1986, UT1-UTC= 0.2372596, Accumulated Leap Seconds=23 + { 2446484.50, 54.947773 }, //23 February 1986, UT1-UTC= 0.2362265, Accumulated Leap Seconds=23 + { 2446485.50, 54.949037 }, //24 February 1986, UT1-UTC= 0.2349627, Accumulated Leap Seconds=23 + { 2446486.50, 54.950564 }, //25 February 1986, UT1-UTC= 0.2334362, Accumulated Leap Seconds=23 + { 2446487.50, 54.952328 }, //26 February 1986, UT1-UTC= 0.2316716, Accumulated Leap Seconds=23 + { 2446488.50, 54.954247 }, //27 February 1986, UT1-UTC= 0.2297533, Accumulated Leap Seconds=23 + { 2446489.50, 54.956197 }, //28 February 1986, UT1-UTC= 0.2278028, Accumulated Leap Seconds=23 + { 2446490.50, 54.958053 }, //01 March 1986, UT1-UTC= 0.2259465, Accumulated Leap Seconds=23 + { 2446491.50, 54.959708 }, //02 March 1986, UT1-UTC= 0.2242917, Accumulated Leap Seconds=23 + { 2446492.50, 54.961109 }, //03 March 1986, UT1-UTC= 0.2228908, Accumulated Leap Seconds=23 + { 2446493.50, 54.962280 }, //04 March 1986, UT1-UTC= 0.2217202, Accumulated Leap Seconds=23 + { 2446494.50, 54.963301 }, //05 March 1986, UT1-UTC= 0.2206991, Accumulated Leap Seconds=23 + { 2446495.50, 54.964284 }, //06 March 1986, UT1-UTC= 0.2197162, Accumulated Leap Seconds=23 + { 2446496.50, 54.965348 }, //07 March 1986, UT1-UTC= 0.2186525, Accumulated Leap Seconds=23 + { 2446497.50, 54.966580 }, //08 March 1986, UT1-UTC= 0.2174198, Accumulated Leap Seconds=23 + { 2446498.50, 54.968018 }, //09 March 1986, UT1-UTC= 0.2159823, Accumulated Leap Seconds=23 + { 2446499.50, 54.969637 }, //10 March 1986, UT1-UTC= 0.2143628, Accumulated Leap Seconds=23 + { 2446500.50, 54.971368 }, //11 March 1986, UT1-UTC= 0.2126321, Accumulated Leap Seconds=23 + { 2446501.50, 54.973107 }, //12 March 1986, UT1-UTC= 0.2108925, Accumulated Leap Seconds=23 + { 2446502.50, 54.974750 }, //13 March 1986, UT1-UTC= 0.2092503, Accumulated Leap Seconds=23 + { 2446503.50, 54.976207 }, //14 March 1986, UT1-UTC= 0.2077933, Accumulated Leap Seconds=23 + { 2446504.50, 54.977429 }, //15 March 1986, UT1-UTC= 0.2065707, Accumulated Leap Seconds=23 + { 2446505.50, 54.978423 }, //16 March 1986, UT1-UTC= 0.2055769, Accumulated Leap Seconds=23 + { 2446506.50, 54.979215 }, //17 March 1986, UT1-UTC= 0.2047848, Accumulated Leap Seconds=23 + { 2446507.50, 54.979850 }, //18 March 1986, UT1-UTC= 0.2041497, Accumulated Leap Seconds=23 + { 2446508.50, 54.980395 }, //19 March 1986, UT1-UTC= 0.2036051, Accumulated Leap Seconds=23 + { 2446509.50, 54.980931 }, //20 March 1986, UT1-UTC= 0.2030694, Accumulated Leap Seconds=23 + { 2446510.50, 54.981552 }, //21 March 1986, UT1-UTC= 0.2024476, Accumulated Leap Seconds=23 + { 2446511.50, 54.982367 }, //22 March 1986, UT1-UTC= 0.2016333, Accumulated Leap Seconds=23 + { 2446512.50, 54.983471 }, //23 March 1986, UT1-UTC= 0.2005292, Accumulated Leap Seconds=23 + { 2446513.50, 54.984928 }, //24 March 1986, UT1-UTC= 0.1990719, Accumulated Leap Seconds=23 + { 2446514.50, 54.986742 }, //25 March 1986, UT1-UTC= 0.1972580, Accumulated Leap Seconds=23 + { 2446515.50, 54.988846 }, //26 March 1986, UT1-UTC= 0.1951541, Accumulated Leap Seconds=23 + { 2446516.50, 54.991097 }, //27 March 1986, UT1-UTC= 0.1929030, Accumulated Leap Seconds=23 + { 2446517.50, 54.993313 }, //28 March 1986, UT1-UTC= 0.1906872, Accumulated Leap Seconds=23 + { 2446518.50, 54.995333 }, //29 March 1986, UT1-UTC= 0.1886672, Accumulated Leap Seconds=23 + { 2446519.50, 54.997062 }, //30 March 1986, UT1-UTC= 0.1869378, Accumulated Leap Seconds=23 + { 2446520.50, 54.998496 }, //31 March 1986, UT1-UTC= 0.1855035, Accumulated Leap Seconds=23 + { 2446521.50, 54.999719 }, //01 April 1986, UT1-UTC= 0.1842814, Accumulated Leap Seconds=23 + { 2446522.50, 55.000853 }, //02 April 1986, UT1-UTC= 0.1831467, Accumulated Leap Seconds=23 + { 2446523.50, 55.002032 }, //03 April 1986, UT1-UTC= 0.1819681, Accumulated Leap Seconds=23 + { 2446524.50, 55.003365 }, //04 April 1986, UT1-UTC= 0.1806353, Accumulated Leap Seconds=23 + { 2446525.50, 55.004914 }, //05 April 1986, UT1-UTC= 0.1790861, Accumulated Leap Seconds=23 + { 2446526.50, 55.006680 }, //06 April 1986, UT1-UTC= 0.1773201, Accumulated Leap Seconds=23 + { 2446527.50, 55.008609 }, //07 April 1986, UT1-UTC= 0.1753909, Accumulated Leap Seconds=23 + { 2446528.50, 55.010619 }, //08 April 1986, UT1-UTC= 0.1733811, Accumulated Leap Seconds=23 + { 2446529.50, 55.012615 }, //09 April 1986, UT1-UTC= 0.1713846, Accumulated Leap Seconds=23 + { 2446530.50, 55.014513 }, //10 April 1986, UT1-UTC= 0.1694872, Accumulated Leap Seconds=23 + { 2446531.50, 55.016256 }, //11 April 1986, UT1-UTC= 0.1677442, Accumulated Leap Seconds=23 + { 2446532.50, 55.017820 }, //12 April 1986, UT1-UTC= 0.1661804, Accumulated Leap Seconds=23 + { 2446533.50, 55.019210 }, //13 April 1986, UT1-UTC= 0.1647902, Accumulated Leap Seconds=23 + { 2446534.50, 55.020459 }, //14 April 1986, UT1-UTC= 0.1635413, Accumulated Leap Seconds=23 + { 2446535.50, 55.021620 }, //15 April 1986, UT1-UTC= 0.1623801, Accumulated Leap Seconds=23 + { 2446536.50, 55.022755 }, //16 April 1986, UT1-UTC= 0.1612452, Accumulated Leap Seconds=23 + { 2446537.50, 55.023928 }, //17 April 1986, UT1-UTC= 0.1600723, Accumulated Leap Seconds=23 + { 2446538.50, 55.025204 }, //18 April 1986, UT1-UTC= 0.1587962, Accumulated Leap Seconds=23 + { 2446539.50, 55.026644 }, //19 April 1986, UT1-UTC= 0.1573557, Accumulated Leap Seconds=23 + { 2446540.50, 55.028298 }, //20 April 1986, UT1-UTC= 0.1557019, Accumulated Leap Seconds=23 + { 2446541.50, 55.030198 }, //21 April 1986, UT1-UTC= 0.1538015, Accumulated Leap Seconds=23 + { 2446542.50, 55.032328 }, //22 April 1986, UT1-UTC= 0.1516723, Accumulated Leap Seconds=23 + { 2446543.50, 55.034599 }, //23 April 1986, UT1-UTC= 0.1494010, Accumulated Leap Seconds=23 + { 2446544.50, 55.036868 }, //24 April 1986, UT1-UTC= 0.1471320, Accumulated Leap Seconds=23 + { 2446545.50, 55.038979 }, //25 April 1986, UT1-UTC= 0.1450208, Accumulated Leap Seconds=23 + { 2446546.50, 55.040821 }, //26 April 1986, UT1-UTC= 0.1431791, Accumulated Leap Seconds=23 + { 2446547.50, 55.042366 }, //27 April 1986, UT1-UTC= 0.1416339, Accumulated Leap Seconds=23 + { 2446548.50, 55.043680 }, //28 April 1986, UT1-UTC= 0.1403200, Accumulated Leap Seconds=23 + { 2446549.50, 55.044893 }, //29 April 1986, UT1-UTC= 0.1391068, Accumulated Leap Seconds=23 + { 2446550.50, 55.046152 }, //30 April 1986, UT1-UTC= 0.1378475, Accumulated Leap Seconds=23 + { 2446551.50, 55.047571 }, //01 May 1986, UT1-UTC= 0.1364290, Accumulated Leap Seconds=23 + { 2446552.50, 55.049204 }, //02 May 1986, UT1-UTC= 0.1347961, Accumulated Leap Seconds=23 + { 2446553.50, 55.051048 }, //03 May 1986, UT1-UTC= 0.1329516, Accumulated Leap Seconds=23 + { 2446554.50, 55.053057 }, //04 May 1986, UT1-UTC= 0.1309427, Accumulated Leap Seconds=23 + { 2446555.50, 55.055155 }, //05 May 1986, UT1-UTC= 0.1288453, Accumulated Leap Seconds=23 + { 2446556.50, 55.057254 }, //06 May 1986, UT1-UTC= 0.1267458, Accumulated Leap Seconds=23 + { 2446557.50, 55.059274 }, //07 May 1986, UT1-UTC= 0.1247264, Accumulated Leap Seconds=23 + { 2446558.50, 55.061146 }, //08 May 1986, UT1-UTC= 0.1228541, Accumulated Leap Seconds=23 + { 2446559.50, 55.062830 }, //09 May 1986, UT1-UTC= 0.1211703, Accumulated Leap Seconds=23 + { 2446560.50, 55.064312 }, //10 May 1986, UT1-UTC= 0.1196884, Accumulated Leap Seconds=23 + { 2446561.50, 55.065598 }, //11 May 1986, UT1-UTC= 0.1184023, Accumulated Leap Seconds=23 + { 2446562.50, 55.066719 }, //12 May 1986, UT1-UTC= 0.1172812, Accumulated Leap Seconds=23 + { 2446563.50, 55.067726 }, //13 May 1986, UT1-UTC= 0.1162741, Accumulated Leap Seconds=23 + { 2446564.50, 55.068682 }, //14 May 1986, UT1-UTC= 0.1153183, Accumulated Leap Seconds=23 + { 2446565.50, 55.069647 }, //15 May 1986, UT1-UTC= 0.1143529, Accumulated Leap Seconds=23 + { 2446566.50, 55.070678 }, //16 May 1986, UT1-UTC= 0.1133222, Accumulated Leap Seconds=23 + { 2446567.50, 55.071858 }, //17 May 1986, UT1-UTC= 0.1121424, Accumulated Leap Seconds=23 + { 2446568.50, 55.073255 }, //18 May 1986, UT1-UTC= 0.1107449, Accumulated Leap Seconds=23 + { 2446569.50, 55.074886 }, //19 May 1986, UT1-UTC= 0.1091144, Accumulated Leap Seconds=23 + { 2446570.50, 55.076697 }, //20 May 1986, UT1-UTC= 0.1073034, Accumulated Leap Seconds=23 + { 2446571.50, 55.078575 }, //21 May 1986, UT1-UTC= 0.1054253, Accumulated Leap Seconds=23 + { 2446572.50, 55.080369 }, //22 May 1986, UT1-UTC= 0.1036311, Accumulated Leap Seconds=23 + { 2446573.50, 55.081939 }, //23 May 1986, UT1-UTC= 0.1020607, Accumulated Leap Seconds=23 + { 2446574.50, 55.083206 }, //24 May 1986, UT1-UTC= 0.1007935, Accumulated Leap Seconds=23 + { 2446575.50, 55.084185 }, //25 May 1986, UT1-UTC= 0.0998149, Accumulated Leap Seconds=23 + { 2446576.50, 55.084978 }, //26 May 1986, UT1-UTC= 0.0990217, Accumulated Leap Seconds=23 + { 2446577.50, 55.085728 }, //27 May 1986, UT1-UTC= 0.0982724, Accumulated Leap Seconds=23 + { 2446578.50, 55.086558 }, //28 May 1986, UT1-UTC= 0.0974415, Accumulated Leap Seconds=23 + { 2446579.50, 55.087539 }, //29 May 1986, UT1-UTC= 0.0964606, Accumulated Leap Seconds=23 + { 2446580.50, 55.088669 }, //30 May 1986, UT1-UTC= 0.0953312, Accumulated Leap Seconds=23 + { 2446581.50, 55.089905 }, //31 May 1986, UT1-UTC= 0.0940954, Accumulated Leap Seconds=23 + { 2446582.50, 55.091178 }, //01 June 1986, UT1-UTC= 0.0928222, Accumulated Leap Seconds=23 + { 2446583.50, 55.092411 }, //02 June 1986, UT1-UTC= 0.0915886, Accumulated Leap Seconds=23 + { 2446584.50, 55.093536 }, //03 June 1986, UT1-UTC= 0.0904643, Accumulated Leap Seconds=23 + { 2446585.50, 55.094497 }, //04 June 1986, UT1-UTC= 0.0895028, Accumulated Leap Seconds=23 + { 2446586.50, 55.095259 }, //05 June 1986, UT1-UTC= 0.0887405, Accumulated Leap Seconds=23 + { 2446587.50, 55.095808 }, //06 June 1986, UT1-UTC= 0.0881923, Accumulated Leap Seconds=23 + { 2446588.50, 55.096152 }, //07 June 1986, UT1-UTC= 0.0878477, Accumulated Leap Seconds=23 + { 2446589.50, 55.096331 }, //08 June 1986, UT1-UTC= 0.0876685, Accumulated Leap Seconds=23 + { 2446590.50, 55.096405 }, //09 June 1986, UT1-UTC= 0.0875946, Accumulated Leap Seconds=23 + { 2446591.50, 55.096443 }, //10 June 1986, UT1-UTC= 0.0875566, Accumulated Leap Seconds=23 + { 2446592.50, 55.096519 }, //11 June 1986, UT1-UTC= 0.0874811, Accumulated Leap Seconds=23 + { 2446593.50, 55.096706 }, //12 June 1986, UT1-UTC= 0.0872937, Accumulated Leap Seconds=23 + { 2446594.50, 55.097070 }, //13 June 1986, UT1-UTC= 0.0869304, Accumulated Leap Seconds=23 + { 2446595.50, 55.097655 }, //14 June 1986, UT1-UTC= 0.0863451, Accumulated Leap Seconds=23 + { 2446596.50, 55.098477 }, //15 June 1986, UT1-UTC= 0.0855227, Accumulated Leap Seconds=23 + { 2446597.50, 55.099519 }, //16 June 1986, UT1-UTC= 0.0844807, Accumulated Leap Seconds=23 + { 2446598.50, 55.100718 }, //17 June 1986, UT1-UTC= 0.0832817, Accumulated Leap Seconds=23 + { 2446599.50, 55.101964 }, //18 June 1986, UT1-UTC= 0.0820359, Accumulated Leap Seconds=23 + { 2446600.50, 55.103129 }, //19 June 1986, UT1-UTC= 0.0808705, Accumulated Leap Seconds=23 + { 2446601.50, 55.104096 }, //20 June 1986, UT1-UTC= 0.0799042, Accumulated Leap Seconds=23 + { 2446602.50, 55.104818 }, //21 June 1986, UT1-UTC= 0.0791816, Accumulated Leap Seconds=23 + { 2446603.50, 55.105344 }, //22 June 1986, UT1-UTC= 0.0786557, Accumulated Leap Seconds=23 + { 2446604.50, 55.105787 }, //23 June 1986, UT1-UTC= 0.0782125, Accumulated Leap Seconds=23 + { 2446605.50, 55.106284 }, //24 June 1986, UT1-UTC= 0.0777163, Accumulated Leap Seconds=23 + { 2446606.50, 55.106945 }, //25 June 1986, UT1-UTC= 0.0770549, Accumulated Leap Seconds=23 + { 2446607.50, 55.107815 }, //26 June 1986, UT1-UTC= 0.0761849, Accumulated Leap Seconds=23 + { 2446608.50, 55.108864 }, //27 June 1986, UT1-UTC= 0.0751358, Accumulated Leap Seconds=23 + { 2446609.50, 55.110017 }, //28 June 1986, UT1-UTC= 0.0739825, Accumulated Leap Seconds=23 + { 2446610.50, 55.111184 }, //29 June 1986, UT1-UTC= 0.0728159, Accumulated Leap Seconds=23 + { 2446611.50, 55.112278 }, //30 June 1986, UT1-UTC= 0.0717222, Accumulated Leap Seconds=23 + { 2446612.50, 55.113239 }, //01 July 1986, UT1-UTC= 0.0707614, Accumulated Leap Seconds=23 + { 2446613.50, 55.114029 }, //02 July 1986, UT1-UTC= 0.0699709, Accumulated Leap Seconds=23 + { 2446614.50, 55.114633 }, //03 July 1986, UT1-UTC= 0.0693670, Accumulated Leap Seconds=23 + { 2446615.50, 55.115059 }, //04 July 1986, UT1-UTC= 0.0689412, Accumulated Leap Seconds=23 + { 2446616.50, 55.115337 }, //05 July 1986, UT1-UTC= 0.0686625, Accumulated Leap Seconds=23 + { 2446617.50, 55.115521 }, //06 July 1986, UT1-UTC= 0.0684785, Accumulated Leap Seconds=23 + { 2446618.50, 55.115681 }, //07 July 1986, UT1-UTC= 0.0683187, Accumulated Leap Seconds=23 + { 2446619.50, 55.115899 }, //08 July 1986, UT1-UTC= 0.0681008, Accumulated Leap Seconds=23 + { 2446620.50, 55.116250 }, //09 July 1986, UT1-UTC= 0.0677496, Accumulated Leap Seconds=23 + { 2446621.50, 55.116786 }, //10 July 1986, UT1-UTC= 0.0672144, Accumulated Leap Seconds=23 + { 2446622.50, 55.117529 }, //11 July 1986, UT1-UTC= 0.0664710, Accumulated Leap Seconds=23 + { 2446623.50, 55.118473 }, //12 July 1986, UT1-UTC= 0.0655274, Accumulated Leap Seconds=23 + { 2446624.50, 55.119567 }, //13 July 1986, UT1-UTC= 0.0644334, Accumulated Leap Seconds=23 + { 2446625.50, 55.120728 }, //14 July 1986, UT1-UTC= 0.0632724, Accumulated Leap Seconds=23 + { 2446626.50, 55.121861 }, //15 July 1986, UT1-UTC= 0.0621389, Accumulated Leap Seconds=23 + { 2446627.50, 55.122863 }, //16 July 1986, UT1-UTC= 0.0611374, Accumulated Leap Seconds=23 + { 2446628.50, 55.123646 }, //17 July 1986, UT1-UTC= 0.0603540, Accumulated Leap Seconds=23 + { 2446629.50, 55.124175 }, //18 July 1986, UT1-UTC= 0.0598251, Accumulated Leap Seconds=23 + { 2446630.50, 55.124486 }, //19 July 1986, UT1-UTC= 0.0595136, Accumulated Leap Seconds=23 + { 2446631.50, 55.124693 }, //20 July 1986, UT1-UTC= 0.0593065, Accumulated Leap Seconds=23 + { 2446632.50, 55.124945 }, //21 July 1986, UT1-UTC= 0.0590548, Accumulated Leap Seconds=23 + { 2446633.50, 55.125377 }, //22 July 1986, UT1-UTC= 0.0586225, Accumulated Leap Seconds=23 + { 2446634.50, 55.126065 }, //23 July 1986, UT1-UTC= 0.0579349, Accumulated Leap Seconds=23 + { 2446635.50, 55.127001 }, //24 July 1986, UT1-UTC= 0.0569992, Accumulated Leap Seconds=23 + { 2446636.50, 55.128102 }, //25 July 1986, UT1-UTC= 0.0558980, Accumulated Leap Seconds=23 + { 2446637.50, 55.129247 }, //26 July 1986, UT1-UTC= 0.0547533, Accumulated Leap Seconds=23 + { 2446638.50, 55.130316 }, //27 July 1986, UT1-UTC= 0.0536835, Accumulated Leap Seconds=23 + { 2446639.50, 55.131222 }, //28 July 1986, UT1-UTC= 0.0527776, Accumulated Leap Seconds=23 + { 2446640.50, 55.131922 }, //29 July 1986, UT1-UTC= 0.0520778, Accumulated Leap Seconds=23 + { 2446641.50, 55.132403 }, //30 July 1986, UT1-UTC= 0.0515974, Accumulated Leap Seconds=23 + { 2446642.50, 55.132674 }, //31 July 1986, UT1-UTC= 0.0513261, Accumulated Leap Seconds=23 + { 2446643.50, 55.132774 }, //01 August 1986, UT1-UTC= 0.0512260, Accumulated Leap Seconds=23 + { 2446644.50, 55.132766 }, //02 August 1986, UT1-UTC= 0.0512339, Accumulated Leap Seconds=23 + { 2446645.50, 55.132726 }, //03 August 1986, UT1-UTC= 0.0512737, Accumulated Leap Seconds=23 + { 2446646.50, 55.132727 }, //04 August 1986, UT1-UTC= 0.0512729, Accumulated Leap Seconds=23 + { 2446647.50, 55.132866 }, //05 August 1986, UT1-UTC= 0.0511340, Accumulated Leap Seconds=23 + { 2446648.50, 55.133229 }, //06 August 1986, UT1-UTC= 0.0507705, Accumulated Leap Seconds=23 + { 2446649.50, 55.133872 }, //07 August 1986, UT1-UTC= 0.0501277, Accumulated Leap Seconds=23 + { 2446650.50, 55.134807 }, //08 August 1986, UT1-UTC= 0.0491930, Accumulated Leap Seconds=23 + { 2446651.50, 55.135984 }, //09 August 1986, UT1-UTC= 0.0480159, Accumulated Leap Seconds=23 + { 2446652.50, 55.137304 }, //10 August 1986, UT1-UTC= 0.0466961, Accumulated Leap Seconds=23 + { 2446653.50, 55.138641 }, //11 August 1986, UT1-UTC= 0.0453587, Accumulated Leap Seconds=23 + { 2446654.50, 55.139869 }, //12 August 1986, UT1-UTC= 0.0441308, Accumulated Leap Seconds=23 + { 2446655.50, 55.140888 }, //13 August 1986, UT1-UTC= 0.0431124, Accumulated Leap Seconds=23 + { 2446656.50, 55.141644 }, //14 August 1986, UT1-UTC= 0.0423556, Accumulated Leap Seconds=23 + { 2446657.50, 55.142152 }, //15 August 1986, UT1-UTC= 0.0418480, Accumulated Leap Seconds=23 + { 2446658.50, 55.142494 }, //16 August 1986, UT1-UTC= 0.0415055, Accumulated Leap Seconds=23 + { 2446659.50, 55.142803 }, //17 August 1986, UT1-UTC= 0.0411966, Accumulated Leap Seconds=23 + { 2446660.50, 55.143219 }, //18 August 1986, UT1-UTC= 0.0407812, Accumulated Leap Seconds=23 + { 2446661.50, 55.143848 }, //19 August 1986, UT1-UTC= 0.0401517, Accumulated Leap Seconds=23 + { 2446662.50, 55.144732 }, //20 August 1986, UT1-UTC= 0.0392677, Accumulated Leap Seconds=23 + { 2446663.50, 55.145834 }, //21 August 1986, UT1-UTC= 0.0381660, Accumulated Leap Seconds=23 + { 2446664.50, 55.147058 }, //22 August 1986, UT1-UTC= 0.0369417, Accumulated Leap Seconds=23 + { 2446665.50, 55.148287 }, //23 August 1986, UT1-UTC= 0.0357128, Accumulated Leap Seconds=23 + { 2446666.50, 55.149418 }, //24 August 1986, UT1-UTC= 0.0345818, Accumulated Leap Seconds=23 + { 2446667.50, 55.150382 }, //25 August 1986, UT1-UTC= 0.0336178, Accumulated Leap Seconds=23 + { 2446668.50, 55.151149 }, //26 August 1986, UT1-UTC= 0.0328505, Accumulated Leap Seconds=23 + { 2446669.50, 55.151724 }, //27 August 1986, UT1-UTC= 0.0322762, Accumulated Leap Seconds=23 + { 2446670.50, 55.152134 }, //28 August 1986, UT1-UTC= 0.0318657, Accumulated Leap Seconds=23 + { 2446671.50, 55.152428 }, //29 August 1986, UT1-UTC= 0.0315723, Accumulated Leap Seconds=23 + { 2446672.50, 55.152665 }, //30 August 1986, UT1-UTC= 0.0313351, Accumulated Leap Seconds=23 + { 2446673.50, 55.152914 }, //31 August 1986, UT1-UTC= 0.0310858, Accumulated Leap Seconds=23 + { 2446674.50, 55.153242 }, //01 September 1986, UT1-UTC= 0.0307577, Accumulated Leap Seconds=23 + { 2446675.50, 55.153712 }, //02 September 1986, UT1-UTC= 0.0302882, Accumulated Leap Seconds=23 + { 2446676.50, 55.154391 }, //03 September 1986, UT1-UTC= 0.0296094, Accumulated Leap Seconds=23 + { 2446677.50, 55.155322 }, //04 September 1986, UT1-UTC= 0.0286777, Accumulated Leap Seconds=23 + { 2446678.50, 55.156506 }, //05 September 1986, UT1-UTC= 0.0274936, Accumulated Leap Seconds=23 + { 2446679.50, 55.157893 }, //06 September 1986, UT1-UTC= 0.0261070, Accumulated Leap Seconds=23 + { 2446680.50, 55.159391 }, //07 September 1986, UT1-UTC= 0.0246089, Accumulated Leap Seconds=23 + { 2446681.50, 55.160880 }, //08 September 1986, UT1-UTC= 0.0231196, Accumulated Leap Seconds=23 + { 2446682.50, 55.162247 }, //09 September 1986, UT1-UTC= 0.0217530, Accumulated Leap Seconds=23 + { 2446683.50, 55.163414 }, //10 September 1986, UT1-UTC= 0.0205860, Accumulated Leap Seconds=23 + { 2446684.50, 55.164359 }, //11 September 1986, UT1-UTC= 0.0196405, Accumulated Leap Seconds=23 + { 2446685.50, 55.165127 }, //12 September 1986, UT1-UTC= 0.0188731, Accumulated Leap Seconds=23 + { 2446686.50, 55.165829 }, //13 September 1986, UT1-UTC= 0.0181707, Accumulated Leap Seconds=23 + { 2446687.50, 55.166606 }, //14 September 1986, UT1-UTC= 0.0173944, Accumulated Leap Seconds=23 + { 2446688.50, 55.167579 }, //15 September 1986, UT1-UTC= 0.0164212, Accumulated Leap Seconds=23 + { 2446689.50, 55.168826 }, //16 September 1986, UT1-UTC= 0.0151742, Accumulated Leap Seconds=23 + { 2446690.50, 55.170356 }, //17 September 1986, UT1-UTC= 0.0136440, Accumulated Leap Seconds=23 + { 2446691.50, 55.172104 }, //18 September 1986, UT1-UTC= 0.0118957, Accumulated Leap Seconds=23 + { 2446692.50, 55.173960 }, //19 September 1986, UT1-UTC= 0.0100397, Accumulated Leap Seconds=23 + { 2446693.50, 55.175804 }, //20 September 1986, UT1-UTC= 0.0081958, Accumulated Leap Seconds=23 + { 2446694.50, 55.177534 }, //21 September 1986, UT1-UTC= 0.0064660, Accumulated Leap Seconds=23 + { 2446695.50, 55.179082 }, //22 September 1986, UT1-UTC= 0.0049175, Accumulated Leap Seconds=23 + { 2446696.50, 55.180427 }, //23 September 1986, UT1-UTC= 0.0035730, Accumulated Leap Seconds=23 + { 2446697.50, 55.181584 }, //24 September 1986, UT1-UTC= 0.0024156, Accumulated Leap Seconds=23 + { 2446698.50, 55.182600 }, //25 September 1986, UT1-UTC= 0.0014001, Accumulated Leap Seconds=23 + { 2446699.50, 55.183541 }, //26 September 1986, UT1-UTC= 0.0004592, Accumulated Leap Seconds=23 + { 2446700.50, 55.184487 }, //27 September 1986, UT1-UTC=-0.0004874, Accumulated Leap Seconds=23 + { 2446701.50, 55.185520 }, //28 September 1986, UT1-UTC=-0.0015203, Accumulated Leap Seconds=23 + { 2446702.50, 55.186714 }, //29 September 1986, UT1-UTC=-0.0027139, Accumulated Leap Seconds=23 + { 2446703.50, 55.188129 }, //30 September 1986, UT1-UTC=-0.0041289, Accumulated Leap Seconds=23 + { 2446704.50, 55.189800 }, //01 October 1986, UT1-UTC=-0.0058003, Accumulated Leap Seconds=23 + { 2446705.50, 55.191726 }, //02 October 1986, UT1-UTC=-0.0077263, Accumulated Leap Seconds=23 + { 2446706.50, 55.193861 }, //03 October 1986, UT1-UTC=-0.0098608, Accumulated Leap Seconds=23 + { 2446707.50, 55.196105 }, //04 October 1986, UT1-UTC=-0.0121055, Accumulated Leap Seconds=23 + { 2446708.50, 55.198324 }, //05 October 1986, UT1-UTC=-0.0143239, Accumulated Leap Seconds=23 + { 2446709.50, 55.200380 }, //06 October 1986, UT1-UTC=-0.0163802, Accumulated Leap Seconds=23 + { 2446710.50, 55.202182 }, //07 October 1986, UT1-UTC=-0.0181820, Accumulated Leap Seconds=23 + { 2446711.50, 55.203706 }, //08 October 1986, UT1-UTC=-0.0197064, Accumulated Leap Seconds=23 + { 2446712.50, 55.205004 }, //09 October 1986, UT1-UTC=-0.0210044, Accumulated Leap Seconds=23 + { 2446713.50, 55.206185 }, //10 October 1986, UT1-UTC=-0.0221855, Accumulated Leap Seconds=23 + { 2446714.50, 55.207379 }, //11 October 1986, UT1-UTC=-0.0233788, Accumulated Leap Seconds=23 + { 2446715.50, 55.208693 }, //12 October 1986, UT1-UTC=-0.0246927, Accumulated Leap Seconds=23 + { 2446716.50, 55.210203 }, //13 October 1986, UT1-UTC=-0.0262035, Accumulated Leap Seconds=23 + { 2446717.50, 55.211931 }, //14 October 1986, UT1-UTC=-0.0279313, Accumulated Leap Seconds=23 + { 2446718.50, 55.213840 }, //15 October 1986, UT1-UTC=-0.0298396, Accumulated Leap Seconds=23 + { 2446719.50, 55.215852 }, //16 October 1986, UT1-UTC=-0.0318521, Accumulated Leap Seconds=23 + { 2446720.50, 55.217876 }, //17 October 1986, UT1-UTC=-0.0338758, Accumulated Leap Seconds=23 + { 2446721.50, 55.219813 }, //18 October 1986, UT1-UTC=-0.0358129, Accumulated Leap Seconds=23 + { 2446722.50, 55.221596 }, //19 October 1986, UT1-UTC=-0.0375965, Accumulated Leap Seconds=23 + { 2446723.50, 55.223196 }, //20 October 1986, UT1-UTC=-0.0391958, Accumulated Leap Seconds=23 + { 2446724.50, 55.224615 }, //21 October 1986, UT1-UTC=-0.0406149, Accumulated Leap Seconds=23 + { 2446725.50, 55.225887 }, //22 October 1986, UT1-UTC=-0.0418875, Accumulated Leap Seconds=23 + { 2446726.50, 55.227067 }, //23 October 1986, UT1-UTC=-0.0430674, Accumulated Leap Seconds=23 + { 2446727.50, 55.228221 }, //24 October 1986, UT1-UTC=-0.0442210, Accumulated Leap Seconds=23 + { 2446728.50, 55.229414 }, //25 October 1986, UT1-UTC=-0.0454145, Accumulated Leap Seconds=23 + { 2446729.50, 55.230691 }, //26 October 1986, UT1-UTC=-0.0466908, Accumulated Leap Seconds=23 + { 2446730.50, 55.232084 }, //27 October 1986, UT1-UTC=-0.0480845, Accumulated Leap Seconds=23 + { 2446731.50, 55.233644 }, //28 October 1986, UT1-UTC=-0.0496441, Accumulated Leap Seconds=23 + { 2446732.50, 55.235403 }, //29 October 1986, UT1-UTC=-0.0514033, Accumulated Leap Seconds=23 + { 2446733.50, 55.237355 }, //30 October 1986, UT1-UTC=-0.0533552, Accumulated Leap Seconds=23 + { 2446734.50, 55.239442 }, //31 October 1986, UT1-UTC=-0.0554416, Accumulated Leap Seconds=23 + { 2446735.50, 55.241553 }, //01 November 1986, UT1-UTC=-0.0575531, Accumulated Leap Seconds=23 + { 2446736.50, 55.243547 }, //02 November 1986, UT1-UTC=-0.0595465, Accumulated Leap Seconds=23 + { 2446737.50, 55.245294 }, //03 November 1986, UT1-UTC=-0.0612940, Accumulated Leap Seconds=23 + { 2446738.50, 55.246732 }, //04 November 1986, UT1-UTC=-0.0627318, Accumulated Leap Seconds=23 + { 2446739.50, 55.247884 }, //05 November 1986, UT1-UTC=-0.0638844, Accumulated Leap Seconds=23 + { 2446740.50, 55.248855 }, //06 November 1986, UT1-UTC=-0.0648547, Accumulated Leap Seconds=23 + { 2446741.50, 55.249789 }, //07 November 1986, UT1-UTC=-0.0657888, Accumulated Leap Seconds=23 + { 2446742.50, 55.250828 }, //08 November 1986, UT1-UTC=-0.0668277, Accumulated Leap Seconds=23 + { 2446743.50, 55.252064 }, //09 November 1986, UT1-UTC=-0.0680639, Accumulated Leap Seconds=23 + { 2446744.50, 55.253532 }, //10 November 1986, UT1-UTC=-0.0695324, Accumulated Leap Seconds=23 + { 2446745.50, 55.255207 }, //11 November 1986, UT1-UTC=-0.0712069, Accumulated Leap Seconds=23 + { 2446746.50, 55.257015 }, //12 November 1986, UT1-UTC=-0.0730151, Accumulated Leap Seconds=23 + { 2446747.50, 55.258864 }, //13 November 1986, UT1-UTC=-0.0748640, Accumulated Leap Seconds=23 + { 2446748.50, 55.260657 }, //14 November 1986, UT1-UTC=-0.0766574, Accumulated Leap Seconds=23 + { 2446749.50, 55.262314 }, //15 November 1986, UT1-UTC=-0.0783136, Accumulated Leap Seconds=23 + { 2446750.50, 55.263779 }, //16 November 1986, UT1-UTC=-0.0797790, Accumulated Leap Seconds=23 + { 2446751.50, 55.265036 }, //17 November 1986, UT1-UTC=-0.0810361, Accumulated Leap Seconds=23 + { 2446752.50, 55.266101 }, //18 November 1986, UT1-UTC=-0.0821015, Accumulated Leap Seconds=23 + { 2446753.50, 55.267021 }, //19 November 1986, UT1-UTC=-0.0830210, Accumulated Leap Seconds=23 + { 2446754.50, 55.267861 }, //20 November 1986, UT1-UTC=-0.0838608, Accumulated Leap Seconds=23 + { 2446755.50, 55.268696 }, //21 November 1986, UT1-UTC=-0.0846963, Accumulated Leap Seconds=23 + { 2446756.50, 55.269604 }, //22 November 1986, UT1-UTC=-0.0856042, Accumulated Leap Seconds=23 + { 2446757.50, 55.270651 }, //23 November 1986, UT1-UTC=-0.0866508, Accumulated Leap Seconds=23 + { 2446758.50, 55.271885 }, //24 November 1986, UT1-UTC=-0.0878854, Accumulated Leap Seconds=23 + { 2446759.50, 55.273336 }, //25 November 1986, UT1-UTC=-0.0893359, Accumulated Leap Seconds=23 + { 2446760.50, 55.275002 }, //26 November 1986, UT1-UTC=-0.0910023, Accumulated Leap Seconds=23 + { 2446761.50, 55.276844 }, //27 November 1986, UT1-UTC=-0.0928436, Accumulated Leap Seconds=23 + { 2446762.50, 55.278772 }, //28 November 1986, UT1-UTC=-0.0947719, Accumulated Leap Seconds=23 + { 2446763.50, 55.280659 }, //29 November 1986, UT1-UTC=-0.0966592, Accumulated Leap Seconds=23 + { 2446764.50, 55.282368 }, //30 November 1986, UT1-UTC=-0.0983685, Accumulated Leap Seconds=23 + { 2446765.50, 55.283803 }, //01 December 1986, UT1-UTC=-0.0998030, Accumulated Leap Seconds=23 + { 2446766.50, 55.284951 }, //02 December 1986, UT1-UTC=-0.1009513, Accumulated Leap Seconds=23 + { 2446767.50, 55.285894 }, //03 December 1986, UT1-UTC=-0.1018935, Accumulated Leap Seconds=23 + { 2446768.50, 55.286774 }, //04 December 1986, UT1-UTC=-0.1027738, Accumulated Leap Seconds=23 + { 2446769.50, 55.287747 }, //05 December 1986, UT1-UTC=-0.1037469, Accumulated Leap Seconds=23 + { 2446770.50, 55.288921 }, //06 December 1986, UT1-UTC=-0.1049210, Accumulated Leap Seconds=23 + { 2446771.50, 55.290323 }, //07 December 1986, UT1-UTC=-0.1063235, Accumulated Leap Seconds=23 + { 2446772.50, 55.291917 }, //08 December 1986, UT1-UTC=-0.1079170, Accumulated Leap Seconds=23 + { 2446773.50, 55.293618 }, //09 December 1986, UT1-UTC=-0.1096183, Accumulated Leap Seconds=23 + { 2446774.50, 55.295327 }, //10 December 1986, UT1-UTC=-0.1113269, Accumulated Leap Seconds=23 + { 2446775.50, 55.296951 }, //11 December 1986, UT1-UTC=-0.1129513, Accumulated Leap Seconds=23 + { 2446776.50, 55.298420 }, //12 December 1986, UT1-UTC=-0.1144196, Accumulated Leap Seconds=23 + { 2446777.50, 55.299685 }, //13 December 1986, UT1-UTC=-0.1156850, Accumulated Leap Seconds=23 + { 2446778.50, 55.300728 }, //14 December 1986, UT1-UTC=-0.1167276, Accumulated Leap Seconds=23 + { 2446779.50, 55.301556 }, //15 December 1986, UT1-UTC=-0.1175559, Accumulated Leap Seconds=23 + { 2446780.50, 55.302214 }, //16 December 1986, UT1-UTC=-0.1182141, Accumulated Leap Seconds=23 + { 2446781.50, 55.302784 }, //17 December 1986, UT1-UTC=-0.1187843, Accumulated Leap Seconds=23 + { 2446782.50, 55.303362 }, //18 December 1986, UT1-UTC=-0.1193623, Accumulated Leap Seconds=23 + { 2446783.50, 55.304042 }, //19 December 1986, UT1-UTC=-0.1200421, Accumulated Leap Seconds=23 + { 2446784.50, 55.304901 }, //20 December 1986, UT1-UTC=-0.1209007, Accumulated Leap Seconds=23 + { 2446785.50, 55.305991 }, //21 December 1986, UT1-UTC=-0.1219906, Accumulated Leap Seconds=23 + { 2446786.50, 55.307326 }, //22 December 1986, UT1-UTC=-0.1233260, Accumulated Leap Seconds=23 + { 2446787.50, 55.308890 }, //23 December 1986, UT1-UTC=-0.1248903, Accumulated Leap Seconds=23 + { 2446788.50, 55.310637 }, //24 December 1986, UT1-UTC=-0.1266374, Accumulated Leap Seconds=23 + { 2446789.50, 55.312495 }, //25 December 1986, UT1-UTC=-0.1284950, Accumulated Leap Seconds=23 + { 2446790.50, 55.314368 }, //26 December 1986, UT1-UTC=-0.1303680, Accumulated Leap Seconds=23 + { 2446791.50, 55.316144 }, //27 December 1986, UT1-UTC=-0.1321440, Accumulated Leap Seconds=23 + { 2446792.50, 55.317724 }, //28 December 1986, UT1-UTC=-0.1337238, Accumulated Leap Seconds=23 + { 2446793.50, 55.319058 }, //29 December 1986, UT1-UTC=-0.1350576, Accumulated Leap Seconds=23 + { 2446794.50, 55.320172 }, //30 December 1986, UT1-UTC=-0.1361719, Accumulated Leap Seconds=23 + { 2446795.50, 55.321172 }, //31 December 1986, UT1-UTC=-0.1371719, Accumulated Leap Seconds=23 + { 2446796.50, 55.322210 }, //01 January 1987, UT1-UTC=-0.1382105, Accumulated Leap Seconds=23 + { 2446797.50, 55.323427 }, //02 January 1987, UT1-UTC=-0.1394269, Accumulated Leap Seconds=23 + { 2446798.50, 55.324893 }, //03 January 1987, UT1-UTC=-0.1408929, Accumulated Leap Seconds=23 + { 2446799.50, 55.326592 }, //04 January 1987, UT1-UTC=-0.1425920, Accumulated Leap Seconds=23 + { 2446800.50, 55.328436 }, //05 January 1987, UT1-UTC=-0.1444363, Accumulated Leap Seconds=23 + { 2446801.50, 55.330304 }, //06 January 1987, UT1-UTC=-0.1463044, Accumulated Leap Seconds=23 + { 2446802.50, 55.332079 }, //07 January 1987, UT1-UTC=-0.1480795, Accumulated Leap Seconds=23 + { 2446803.50, 55.333676 }, //08 January 1987, UT1-UTC=-0.1496760, Accumulated Leap Seconds=23 + { 2446804.50, 55.335045 }, //09 January 1987, UT1-UTC=-0.1510451, Accumulated Leap Seconds=23 + { 2446805.50, 55.336172 }, //10 January 1987, UT1-UTC=-0.1521722, Accumulated Leap Seconds=23 + { 2446806.50, 55.337077 }, //11 January 1987, UT1-UTC=-0.1530771, Accumulated Leap Seconds=23 + { 2446807.50, 55.337805 }, //12 January 1987, UT1-UTC=-0.1538053, Accumulated Leap Seconds=23 + { 2446808.50, 55.338423 }, //13 January 1987, UT1-UTC=-0.1544225, Accumulated Leap Seconds=23 + { 2446809.50, 55.339009 }, //14 January 1987, UT1-UTC=-0.1550095, Accumulated Leap Seconds=23 + { 2446810.50, 55.339650 }, //15 January 1987, UT1-UTC=-0.1556502, Accumulated Leap Seconds=23 + { 2446811.50, 55.340415 }, //16 January 1987, UT1-UTC=-0.1564149, Accumulated Leap Seconds=23 + { 2446812.50, 55.341361 }, //17 January 1987, UT1-UTC=-0.1573613, Accumulated Leap Seconds=23 + { 2446813.50, 55.342521 }, //18 January 1987, UT1-UTC=-0.1585208, Accumulated Leap Seconds=23 + { 2446814.50, 55.343894 }, //19 January 1987, UT1-UTC=-0.1598938, Accumulated Leap Seconds=23 + { 2446815.50, 55.345449 }, //20 January 1987, UT1-UTC=-0.1614490, Accumulated Leap Seconds=23 + { 2446816.50, 55.347120 }, //21 January 1987, UT1-UTC=-0.1631200, Accumulated Leap Seconds=23 + { 2446817.50, 55.348813 }, //22 January 1987, UT1-UTC=-0.1648127, Accumulated Leap Seconds=23 + { 2446818.50, 55.350425 }, //23 January 1987, UT1-UTC=-0.1664250, Accumulated Leap Seconds=23 + { 2446819.50, 55.351862 }, //24 January 1987, UT1-UTC=-0.1678617, Accumulated Leap Seconds=23 + { 2446820.50, 55.353063 }, //25 January 1987, UT1-UTC=-0.1690630, Accumulated Leap Seconds=23 + { 2446821.50, 55.354035 }, //26 January 1987, UT1-UTC=-0.1700355, Accumulated Leap Seconds=23 + { 2446822.50, 55.354862 }, //27 January 1987, UT1-UTC=-0.1708621, Accumulated Leap Seconds=23 + { 2446823.50, 55.355685 }, //28 January 1987, UT1-UTC=-0.1716852, Accumulated Leap Seconds=23 + { 2446824.50, 55.356662 }, //29 January 1987, UT1-UTC=-0.1726620, Accumulated Leap Seconds=23 + { 2446825.50, 55.357909 }, //30 January 1987, UT1-UTC=-0.1739095, Accumulated Leap Seconds=23 + { 2446826.50, 55.359464 }, //31 January 1987, UT1-UTC=-0.1754637, Accumulated Leap Seconds=23 + { 2446827.50, 55.361268 }, //01 February 1987, UT1-UTC=-0.1772676, Accumulated Leap Seconds=23 + { 2446828.50, 55.363203 }, //02 February 1987, UT1-UTC=-0.1792026, Accumulated Leap Seconds=23 + { 2446829.50, 55.365135 }, //03 February 1987, UT1-UTC=-0.1811346, Accumulated Leap Seconds=23 + { 2446830.50, 55.366954 }, //04 February 1987, UT1-UTC=-0.1829543, Accumulated Leap Seconds=23 + { 2446831.50, 55.368591 }, //05 February 1987, UT1-UTC=-0.1845907, Accumulated Leap Seconds=23 + { 2446832.50, 55.370016 }, //06 February 1987, UT1-UTC=-0.1860159, Accumulated Leap Seconds=23 + { 2446833.50, 55.371241 }, //07 February 1987, UT1-UTC=-0.1872412, Accumulated Leap Seconds=23 + { 2446834.50, 55.372304 }, //08 February 1987, UT1-UTC=-0.1883039, Accumulated Leap Seconds=23 + { 2446835.50, 55.373257 }, //09 February 1987, UT1-UTC=-0.1892573, Accumulated Leap Seconds=23 + { 2446836.50, 55.374168 }, //10 February 1987, UT1-UTC=-0.1901681, Accumulated Leap Seconds=23 + { 2446837.50, 55.375117 }, //11 February 1987, UT1-UTC=-0.1911175, Accumulated Leap Seconds=23 + { 2446838.50, 55.376183 }, //12 February 1987, UT1-UTC=-0.1921833, Accumulated Leap Seconds=23 + { 2446839.50, 55.377425 }, //13 February 1987, UT1-UTC=-0.1934247, Accumulated Leap Seconds=23 + { 2446840.50, 55.378876 }, //14 February 1987, UT1-UTC=-0.1948763, Accumulated Leap Seconds=23 + { 2446841.50, 55.380549 }, //15 February 1987, UT1-UTC=-0.1965486, Accumulated Leap Seconds=23 + { 2446842.50, 55.382416 }, //16 February 1987, UT1-UTC=-0.1984156, Accumulated Leap Seconds=23 + { 2446843.50, 55.384414 }, //17 February 1987, UT1-UTC=-0.2004144, Accumulated Leap Seconds=23 + { 2446844.50, 55.386455 }, //18 February 1987, UT1-UTC=-0.2024549, Accumulated Leap Seconds=23 + { 2446845.50, 55.388435 }, //19 February 1987, UT1-UTC=-0.2044354, Accumulated Leap Seconds=23 + { 2446846.50, 55.390269 }, //20 February 1987, UT1-UTC=-0.2062694, Accumulated Leap Seconds=23 + { 2446847.50, 55.391907 }, //21 February 1987, UT1-UTC=-0.2079068, Accumulated Leap Seconds=23 + { 2446848.50, 55.393351 }, //22 February 1987, UT1-UTC=-0.2093507, Accumulated Leap Seconds=23 + { 2446849.50, 55.394668 }, //23 February 1987, UT1-UTC=-0.2106682, Accumulated Leap Seconds=23 + { 2446850.50, 55.395982 }, //24 February 1987, UT1-UTC=-0.2119817, Accumulated Leap Seconds=23 + { 2446851.50, 55.397440 }, //25 February 1987, UT1-UTC=-0.2134399, Accumulated Leap Seconds=23 + { 2446852.50, 55.399174 }, //26 February 1987, UT1-UTC=-0.2151744, Accumulated Leap Seconds=23 + { 2446853.50, 55.401251 }, //27 February 1987, UT1-UTC=-0.2172510, Accumulated Leap Seconds=23 + { 2446854.50, 55.403648 }, //28 February 1987, UT1-UTC=-0.2196479, Accumulated Leap Seconds=23 + { 2446855.50, 55.406262 }, //01 March 1987, UT1-UTC=-0.2222620, Accumulated Leap Seconds=23 + { 2446856.50, 55.408936 }, //02 March 1987, UT1-UTC=-0.2249359, Accumulated Leap Seconds=23 + { 2446857.50, 55.411510 }, //03 March 1987, UT1-UTC=-0.2275097, Accumulated Leap Seconds=23 + { 2446858.50, 55.413862 }, //04 March 1987, UT1-UTC=-0.2298622, Accumulated Leap Seconds=23 + { 2446859.50, 55.415925 }, //05 March 1987, UT1-UTC=-0.2319251, Accumulated Leap Seconds=23 + { 2446860.50, 55.417681 }, //06 March 1987, UT1-UTC=-0.2336810, Accumulated Leap Seconds=23 + { 2446861.50, 55.419165 }, //07 March 1987, UT1-UTC=-0.2351653, Accumulated Leap Seconds=23 + { 2446862.50, 55.420445 }, //08 March 1987, UT1-UTC=-0.2364452, Accumulated Leap Seconds=23 + { 2446863.50, 55.421603 }, //09 March 1987, UT1-UTC=-0.2376034, Accumulated Leap Seconds=23 + { 2446864.50, 55.422731 }, //10 March 1987, UT1-UTC=-0.2387312, Accumulated Leap Seconds=23 + { 2446865.50, 55.423921 }, //11 March 1987, UT1-UTC=-0.2399209, Accumulated Leap Seconds=23 + { 2446866.50, 55.425255 }, //12 March 1987, UT1-UTC=-0.2412554, Accumulated Leap Seconds=23 + { 2446867.50, 55.426790 }, //13 March 1987, UT1-UTC=-0.2427898, Accumulated Leap Seconds=23 + { 2446868.50, 55.428548 }, //14 March 1987, UT1-UTC=-0.2445485, Accumulated Leap Seconds=23 + { 2446869.50, 55.430519 }, //15 March 1987, UT1-UTC=-0.2465190, Accumulated Leap Seconds=23 + { 2446870.50, 55.432649 }, //16 March 1987, UT1-UTC=-0.2486492, Accumulated Leap Seconds=23 + { 2446871.50, 55.434854 }, //17 March 1987, UT1-UTC=-0.2508542, Accumulated Leap Seconds=23 + { 2446872.50, 55.437030 }, //18 March 1987, UT1-UTC=-0.2530304, Accumulated Leap Seconds=23 + { 2446873.50, 55.439078 }, //19 March 1987, UT1-UTC=-0.2550779, Accumulated Leap Seconds=23 + { 2446874.50, 55.440929 }, //20 March 1987, UT1-UTC=-0.2569290, Accumulated Leap Seconds=23 + { 2446875.50, 55.442567 }, //21 March 1987, UT1-UTC=-0.2585674, Accumulated Leap Seconds=23 + { 2446876.50, 55.444030 }, //22 March 1987, UT1-UTC=-0.2600297, Accumulated Leap Seconds=23 + { 2446877.50, 55.445405 }, //23 March 1987, UT1-UTC=-0.2614050, Accumulated Leap Seconds=23 + { 2446878.50, 55.446813 }, //24 March 1987, UT1-UTC=-0.2628126, Accumulated Leap Seconds=23 + { 2446879.50, 55.448368 }, //25 March 1987, UT1-UTC=-0.2643678, Accumulated Leap Seconds=23 + { 2446880.50, 55.450148 }, //26 March 1987, UT1-UTC=-0.2661481, Accumulated Leap Seconds=23 + { 2446881.50, 55.452172 }, //27 March 1987, UT1-UTC=-0.2681724, Accumulated Leap Seconds=23 + { 2446882.50, 55.454387 }, //28 March 1987, UT1-UTC=-0.2703867, Accumulated Leap Seconds=23 + { 2446883.50, 55.456682 }, //29 March 1987, UT1-UTC=-0.2726823, Accumulated Leap Seconds=23 + { 2446884.50, 55.458930 }, //30 March 1987, UT1-UTC=-0.2749299, Accumulated Leap Seconds=23 + { 2446885.50, 55.461016 }, //31 March 1987, UT1-UTC=-0.2770162, Accumulated Leap Seconds=23 + { 2446886.50, 55.462872 }, //01 April 1987, UT1-UTC=-0.2788719, Accumulated Leap Seconds=23 + { 2446887.50, 55.464480 }, //02 April 1987, UT1-UTC=-0.2804804, Accumulated Leap Seconds=23 + { 2446888.50, 55.465870 }, //03 April 1987, UT1-UTC=-0.2818702, Accumulated Leap Seconds=23 + { 2446889.50, 55.467101 }, //04 April 1987, UT1-UTC=-0.2831008, Accumulated Leap Seconds=23 + { 2446890.50, 55.468247 }, //05 April 1987, UT1-UTC=-0.2842471, Accumulated Leap Seconds=23 + { 2446891.50, 55.469384 }, //06 April 1987, UT1-UTC=-0.2853842, Accumulated Leap Seconds=23 + { 2446892.50, 55.470584 }, //07 April 1987, UT1-UTC=-0.2865842, Accumulated Leap Seconds=23 + { 2446893.50, 55.471909 }, //08 April 1987, UT1-UTC=-0.2879088, Accumulated Leap Seconds=23 + { 2446894.50, 55.473403 }, //09 April 1987, UT1-UTC=-0.2894035, Accumulated Leap Seconds=23 + { 2446895.50, 55.475091 }, //10 April 1987, UT1-UTC=-0.2910912, Accumulated Leap Seconds=23 + { 2446896.50, 55.476970 }, //11 April 1987, UT1-UTC=-0.2929698, Accumulated Leap Seconds=23 + { 2446897.50, 55.479007 }, //12 April 1987, UT1-UTC=-0.2950066, Accumulated Leap Seconds=23 + { 2446898.50, 55.481131 }, //13 April 1987, UT1-UTC=-0.2971309, Accumulated Leap Seconds=23 + { 2446899.50, 55.483241 }, //14 April 1987, UT1-UTC=-0.2992408, Accumulated Leap Seconds=23 + { 2446900.50, 55.485227 }, //15 April 1987, UT1-UTC=-0.3012266, Accumulated Leap Seconds=23 + { 2446901.50, 55.487001 }, //16 April 1987, UT1-UTC=-0.3030008, Accumulated Leap Seconds=23 + { 2446902.50, 55.488519 }, //17 April 1987, UT1-UTC=-0.3045195, Accumulated Leap Seconds=23 + { 2446903.50, 55.489809 }, //18 April 1987, UT1-UTC=-0.3058088, Accumulated Leap Seconds=23 + { 2446904.50, 55.490960 }, //19 April 1987, UT1-UTC=-0.3069597, Accumulated Leap Seconds=23 + { 2446905.50, 55.492100 }, //20 April 1987, UT1-UTC=-0.3081004, Accumulated Leap Seconds=23 + { 2446906.50, 55.493360 }, //21 April 1987, UT1-UTC=-0.3093603, Accumulated Leap Seconds=23 + { 2446907.50, 55.494829 }, //22 April 1987, UT1-UTC=-0.3108288, Accumulated Leap Seconds=23 + { 2446908.50, 55.496539 }, //23 April 1987, UT1-UTC=-0.3125389, Accumulated Leap Seconds=23 + { 2446909.50, 55.498483 }, //24 April 1987, UT1-UTC=-0.3144828, Accumulated Leap Seconds=23 + { 2446910.50, 55.500600 }, //25 April 1987, UT1-UTC=-0.3165997, Accumulated Leap Seconds=23 + { 2446911.50, 55.502771 }, //26 April 1987, UT1-UTC=-0.3187708, Accumulated Leap Seconds=23 + { 2446912.50, 55.504866 }, //27 April 1987, UT1-UTC=-0.3208656, Accumulated Leap Seconds=23 + { 2446913.50, 55.506780 }, //28 April 1987, UT1-UTC=-0.3227795, Accumulated Leap Seconds=23 + { 2446914.50, 55.508454 }, //29 April 1987, UT1-UTC=-0.3244536, Accumulated Leap Seconds=23 + { 2446915.50, 55.509878 }, //30 April 1987, UT1-UTC=-0.3258783, Accumulated Leap Seconds=23 + { 2446916.50, 55.511091 }, //01 May 1987, UT1-UTC=-0.3270909, Accumulated Leap Seconds=23 + { 2446917.50, 55.512154 }, //02 May 1987, UT1-UTC=-0.3281539, Accumulated Leap Seconds=23 + { 2446918.50, 55.513140 }, //03 May 1987, UT1-UTC=-0.3291403, Accumulated Leap Seconds=23 + { 2446919.50, 55.514119 }, //04 May 1987, UT1-UTC=-0.3301188, Accumulated Leap Seconds=23 + { 2446920.50, 55.515151 }, //05 May 1987, UT1-UTC=-0.3311506, Accumulated Leap Seconds=23 + { 2446921.50, 55.516296 }, //06 May 1987, UT1-UTC=-0.3322962, Accumulated Leap Seconds=23 + { 2446922.50, 55.517596 }, //07 May 1987, UT1-UTC=-0.3335959, Accumulated Leap Seconds=23 + { 2446923.50, 55.519070 }, //08 May 1987, UT1-UTC=-0.3350698, Accumulated Leap Seconds=23 + { 2446924.50, 55.520727 }, //09 May 1987, UT1-UTC=-0.3367271, Accumulated Leap Seconds=23 + { 2446925.50, 55.522540 }, //10 May 1987, UT1-UTC=-0.3385405, Accumulated Leap Seconds=23 + { 2446926.50, 55.524424 }, //11 May 1987, UT1-UTC=-0.3404244, Accumulated Leap Seconds=23 + { 2446927.50, 55.526258 }, //12 May 1987, UT1-UTC=-0.3422580, Accumulated Leap Seconds=23 + { 2446928.50, 55.527920 }, //13 May 1987, UT1-UTC=-0.3439203, Accumulated Leap Seconds=23 + { 2446929.50, 55.529331 }, //14 May 1987, UT1-UTC=-0.3453306, Accumulated Leap Seconds=23 + { 2446930.50, 55.530479 }, //15 May 1987, UT1-UTC=-0.3464794, Accumulated Leap Seconds=23 + { 2446931.50, 55.531443 }, //16 May 1987, UT1-UTC=-0.3474435, Accumulated Leap Seconds=23 + { 2446932.50, 55.532360 }, //17 May 1987, UT1-UTC=-0.3483597, Accumulated Leap Seconds=23 + { 2446933.50, 55.533374 }, //18 May 1987, UT1-UTC=-0.3493744, Accumulated Leap Seconds=23 + { 2446934.50, 55.534597 }, //19 May 1987, UT1-UTC=-0.3505967, Accumulated Leap Seconds=23 + { 2446935.50, 55.536070 }, //20 May 1987, UT1-UTC=-0.3520703, Accumulated Leap Seconds=23 + { 2446936.50, 55.537771 }, //21 May 1987, UT1-UTC=-0.3537712, Accumulated Leap Seconds=23 + { 2446937.50, 55.539623 }, //22 May 1987, UT1-UTC=-0.3556234, Accumulated Leap Seconds=23 + { 2446938.50, 55.541524 }, //23 May 1987, UT1-UTC=-0.3575245, Accumulated Leap Seconds=23 + { 2446939.50, 55.543375 }, //24 May 1987, UT1-UTC=-0.3593754, Accumulated Leap Seconds=23 + { 2446940.50, 55.545099 }, //25 May 1987, UT1-UTC=-0.3610990, Accumulated Leap Seconds=23 + { 2446941.50, 55.546635 }, //26 May 1987, UT1-UTC=-0.3626348, Accumulated Leap Seconds=23 + { 2446942.50, 55.547953 }, //27 May 1987, UT1-UTC=-0.3639528, Accumulated Leap Seconds=23 + { 2446943.50, 55.549060 }, //28 May 1987, UT1-UTC=-0.3650600, Accumulated Leap Seconds=23 + { 2446944.50, 55.549993 }, //29 May 1987, UT1-UTC=-0.3659926, Accumulated Leap Seconds=23 + { 2446945.50, 55.550807 }, //30 May 1987, UT1-UTC=-0.3668065, Accumulated Leap Seconds=23 + { 2446946.50, 55.551578 }, //31 May 1987, UT1-UTC=-0.3675780, Accumulated Leap Seconds=23 + { 2446947.50, 55.552378 }, //01 June 1987, UT1-UTC=-0.3683777, Accumulated Leap Seconds=23 + { 2446948.50, 55.553259 }, //02 June 1987, UT1-UTC=-0.3692588, Accumulated Leap Seconds=23 + { 2446949.50, 55.554253 }, //03 June 1987, UT1-UTC=-0.3702526, Accumulated Leap Seconds=23 + { 2446950.50, 55.555371 }, //04 June 1987, UT1-UTC=-0.3713708, Accumulated Leap Seconds=23 + { 2446951.50, 55.556629 }, //05 June 1987, UT1-UTC=-0.3726286, Accumulated Leap Seconds=23 + { 2446952.50, 55.558026 }, //06 June 1987, UT1-UTC=-0.3740264, Accumulated Leap Seconds=23 + { 2446953.50, 55.559534 }, //07 June 1987, UT1-UTC=-0.3755337, Accumulated Leap Seconds=23 + { 2446954.50, 55.561073 }, //08 June 1987, UT1-UTC=-0.3770730, Accumulated Leap Seconds=23 + { 2446955.50, 55.562524 }, //09 June 1987, UT1-UTC=-0.3785244, Accumulated Leap Seconds=23 + { 2446956.50, 55.563782 }, //10 June 1987, UT1-UTC=-0.3797816, Accumulated Leap Seconds=23 + { 2446957.50, 55.564794 }, //11 June 1987, UT1-UTC=-0.3807935, Accumulated Leap Seconds=23 + { 2446958.50, 55.565590 }, //12 June 1987, UT1-UTC=-0.3815903, Accumulated Leap Seconds=23 + { 2446959.50, 55.566279 }, //13 June 1987, UT1-UTC=-0.3822791, Accumulated Leap Seconds=23 + { 2446960.50, 55.567005 }, //14 June 1987, UT1-UTC=-0.3830048, Accumulated Leap Seconds=23 + { 2446961.50, 55.567900 }, //15 June 1987, UT1-UTC=-0.3839004, Accumulated Leap Seconds=23 + { 2446962.50, 55.569036 }, //16 June 1987, UT1-UTC=-0.3850359, Accumulated Leap Seconds=23 + { 2446963.50, 55.570398 }, //17 June 1987, UT1-UTC=-0.3863981, Accumulated Leap Seconds=23 + { 2446964.50, 55.571905 }, //18 June 1987, UT1-UTC=-0.3879049, Accumulated Leap Seconds=23 + { 2446965.50, 55.573443 }, //19 June 1987, UT1-UTC=-0.3894426, Accumulated Leap Seconds=23 + { 2446966.50, 55.574900 }, //20 June 1987, UT1-UTC=-0.3908996, Accumulated Leap Seconds=23 + { 2446967.50, 55.576182 }, //21 June 1987, UT1-UTC=-0.3921822, Accumulated Leap Seconds=23 + { 2446968.50, 55.577234 }, //22 June 1987, UT1-UTC=-0.3932339, Accumulated Leap Seconds=23 + { 2446969.50, 55.578036 }, //23 June 1987, UT1-UTC=-0.3940360, Accumulated Leap Seconds=23 + { 2446970.50, 55.578603 }, //24 June 1987, UT1-UTC=-0.3946032, Accumulated Leap Seconds=23 + { 2446971.50, 55.578975 }, //25 June 1987, UT1-UTC=-0.3949750, Accumulated Leap Seconds=23 + { 2446972.50, 55.579212 }, //26 June 1987, UT1-UTC=-0.3952123, Accumulated Leap Seconds=23 + { 2446973.50, 55.579403 }, //27 June 1987, UT1-UTC=-0.3954025, Accumulated Leap Seconds=23 + { 2446974.50, 55.579634 }, //28 June 1987, UT1-UTC=-0.3956345, Accumulated Leap Seconds=23 + { 2446975.50, 55.579983 }, //29 June 1987, UT1-UTC=-0.3959826, Accumulated Leap Seconds=23 + { 2446976.50, 55.580494 }, //30 June 1987, UT1-UTC=-0.3964936, Accumulated Leap Seconds=23 + { 2446977.50, 55.581188 }, //01 July 1987, UT1-UTC=-0.3971877, Accumulated Leap Seconds=23 + { 2446978.50, 55.582057 }, //02 July 1987, UT1-UTC=-0.3980574, Accumulated Leap Seconds=23 + { 2446979.50, 55.583066 }, //03 July 1987, UT1-UTC=-0.3990660, Accumulated Leap Seconds=23 + { 2446980.50, 55.584153 }, //04 July 1987, UT1-UTC=-0.4001529, Accumulated Leap Seconds=23 + { 2446981.50, 55.585238 }, //05 July 1987, UT1-UTC=-0.4012378, Accumulated Leap Seconds=23 + { 2446982.50, 55.586227 }, //06 July 1987, UT1-UTC=-0.4022275, Accumulated Leap Seconds=23 + { 2446983.50, 55.587038 }, //07 July 1987, UT1-UTC=-0.4030377, Accumulated Leap Seconds=23 + { 2446984.50, 55.587621 }, //08 July 1987, UT1-UTC=-0.4036215, Accumulated Leap Seconds=23 + { 2446985.50, 55.587992 }, //09 July 1987, UT1-UTC=-0.4039925, Accumulated Leap Seconds=23 + { 2446986.50, 55.588230 }, //10 July 1987, UT1-UTC=-0.4042298, Accumulated Leap Seconds=23 + { 2446987.50, 55.588470 }, //11 July 1987, UT1-UTC=-0.4044705, Accumulated Leap Seconds=23 + { 2446988.50, 55.588867 }, //12 July 1987, UT1-UTC=-0.4048669, Accumulated Leap Seconds=23 + { 2446989.50, 55.589533 }, //13 July 1987, UT1-UTC=-0.4055332, Accumulated Leap Seconds=23 + { 2446990.50, 55.590493 }, //14 July 1987, UT1-UTC=-0.4064930, Accumulated Leap Seconds=23 + { 2446991.50, 55.591661 }, //15 July 1987, UT1-UTC=-0.4076606, Accumulated Leap Seconds=23 + { 2446992.50, 55.592892 }, //16 July 1987, UT1-UTC=-0.4088921, Accumulated Leap Seconds=23 + { 2446993.50, 55.594043 }, //17 July 1987, UT1-UTC=-0.4100431, Accumulated Leap Seconds=23 + { 2446994.50, 55.595008 }, //18 July 1987, UT1-UTC=-0.4110080, Accumulated Leap Seconds=23 + { 2446995.50, 55.595738 }, //19 July 1987, UT1-UTC=-0.4117376, Accumulated Leap Seconds=23 + { 2446996.50, 55.596217 }, //20 July 1987, UT1-UTC=-0.4122167, Accumulated Leap Seconds=23 + { 2446997.50, 55.596467 }, //21 July 1987, UT1-UTC=-0.4124667, Accumulated Leap Seconds=23 + { 2446998.50, 55.596538 }, //22 July 1987, UT1-UTC=-0.4125380, Accumulated Leap Seconds=23 + { 2446999.50, 55.596504 }, //23 July 1987, UT1-UTC=-0.4125039, Accumulated Leap Seconds=23 + { 2447000.50, 55.596445 }, //24 July 1987, UT1-UTC=-0.4124448, Accumulated Leap Seconds=23 + { 2447001.50, 55.596440 }, //25 July 1987, UT1-UTC=-0.4124401, Accumulated Leap Seconds=23 + { 2447002.50, 55.596553 }, //26 July 1987, UT1-UTC=-0.4125534, Accumulated Leap Seconds=23 + { 2447003.50, 55.596827 }, //27 July 1987, UT1-UTC=-0.4128271, Accumulated Leap Seconds=23 + { 2447004.50, 55.597282 }, //28 July 1987, UT1-UTC=-0.4132823, Accumulated Leap Seconds=23 + { 2447005.50, 55.597916 }, //29 July 1987, UT1-UTC=-0.4139161, Accumulated Leap Seconds=23 + { 2447006.50, 55.598694 }, //30 July 1987, UT1-UTC=-0.4146942, Accumulated Leap Seconds=23 + { 2447007.50, 55.599559 }, //31 July 1987, UT1-UTC=-0.4155590, Accumulated Leap Seconds=23 + { 2447008.50, 55.600437 }, //01 August 1987, UT1-UTC=-0.4164372, Accumulated Leap Seconds=23 + { 2447009.50, 55.601251 }, //02 August 1987, UT1-UTC=-0.4172506, Accumulated Leap Seconds=23 + { 2447010.50, 55.601930 }, //03 August 1987, UT1-UTC=-0.4179303, Accumulated Leap Seconds=23 + { 2447011.50, 55.602424 }, //04 August 1987, UT1-UTC=-0.4184242, Accumulated Leap Seconds=23 + { 2447012.50, 55.602722 }, //05 August 1987, UT1-UTC=-0.4187224, Accumulated Leap Seconds=23 + { 2447013.50, 55.602880 }, //06 August 1987, UT1-UTC=-0.4188798, Accumulated Leap Seconds=23 + { 2447014.50, 55.603019 }, //07 August 1987, UT1-UTC=-0.4190189, Accumulated Leap Seconds=23 + { 2447015.50, 55.603302 }, //08 August 1987, UT1-UTC=-0.4193021, Accumulated Leap Seconds=23 + { 2447016.50, 55.603856 }, //09 August 1987, UT1-UTC=-0.4198559, Accumulated Leap Seconds=23 + { 2447017.50, 55.604730 }, //10 August 1987, UT1-UTC=-0.4207305, Accumulated Leap Seconds=23 + { 2447018.50, 55.605884 }, //11 August 1987, UT1-UTC=-0.4218842, Accumulated Leap Seconds=23 + { 2447019.50, 55.607205 }, //12 August 1987, UT1-UTC=-0.4232046, Accumulated Leap Seconds=23 + { 2447020.50, 55.608542 }, //13 August 1987, UT1-UTC=-0.4245424, Accumulated Leap Seconds=23 + { 2447021.50, 55.609754 }, //14 August 1987, UT1-UTC=-0.4257538, Accumulated Leap Seconds=23 + { 2447022.50, 55.610746 }, //15 August 1987, UT1-UTC=-0.4267460, Accumulated Leap Seconds=23 + { 2447023.50, 55.611493 }, //16 August 1987, UT1-UTC=-0.4274927, Accumulated Leap Seconds=23 + { 2447024.50, 55.612023 }, //17 August 1987, UT1-UTC=-0.4280233, Accumulated Leap Seconds=23 + { 2447025.50, 55.612403 }, //18 August 1987, UT1-UTC=-0.4284028, Accumulated Leap Seconds=23 + { 2447026.50, 55.612706 }, //19 August 1987, UT1-UTC=-0.4287061, Accumulated Leap Seconds=23 + { 2447027.50, 55.613011 }, //20 August 1987, UT1-UTC=-0.4290106, Accumulated Leap Seconds=23 + { 2447028.50, 55.613394 }, //21 August 1987, UT1-UTC=-0.4293936, Accumulated Leap Seconds=23 + { 2447029.50, 55.613929 }, //22 August 1987, UT1-UTC=-0.4299291, Accumulated Leap Seconds=23 + { 2447030.50, 55.614677 }, //23 August 1987, UT1-UTC=-0.4306769, Accumulated Leap Seconds=23 + { 2447031.50, 55.615663 }, //24 August 1987, UT1-UTC=-0.4316628, Accumulated Leap Seconds=23 + { 2447032.50, 55.616869 }, //25 August 1987, UT1-UTC=-0.4328692, Accumulated Leap Seconds=23 + { 2447033.50, 55.618254 }, //26 August 1987, UT1-UTC=-0.4342537, Accumulated Leap Seconds=23 + { 2447034.50, 55.619753 }, //27 August 1987, UT1-UTC=-0.4357534, Accumulated Leap Seconds=23 + { 2447035.50, 55.621292 }, //28 August 1987, UT1-UTC=-0.4372917, Accumulated Leap Seconds=23 + { 2447036.50, 55.622785 }, //29 August 1987, UT1-UTC=-0.4387851, Accumulated Leap Seconds=23 + { 2447037.50, 55.624140 }, //30 August 1987, UT1-UTC=-0.4401396, Accumulated Leap Seconds=23 + { 2447038.50, 55.625287 }, //31 August 1987, UT1-UTC=-0.4412866, Accumulated Leap Seconds=23 + { 2447039.50, 55.626202 }, //01 September 1987, UT1-UTC=-0.4422020, Accumulated Leap Seconds=23 + { 2447040.50, 55.626922 }, //02 September 1987, UT1-UTC=-0.4429225, Accumulated Leap Seconds=23 + { 2447041.50, 55.627551 }, //03 September 1987, UT1-UTC=-0.4435509, Accumulated Leap Seconds=23 + { 2447042.50, 55.628234 }, //04 September 1987, UT1-UTC=-0.4442340, Accumulated Leap Seconds=23 + { 2447043.50, 55.629124 }, //05 September 1987, UT1-UTC=-0.4451240, Accumulated Leap Seconds=23 + { 2447044.50, 55.630334 }, //06 September 1987, UT1-UTC=-0.4463339, Accumulated Leap Seconds=23 + { 2447045.50, 55.631896 }, //07 September 1987, UT1-UTC=-0.4478957, Accumulated Leap Seconds=23 + { 2447046.50, 55.633729 }, //08 September 1987, UT1-UTC=-0.4497292, Accumulated Leap Seconds=23 + { 2447047.50, 55.635681 }, //09 September 1987, UT1-UTC=-0.4516813, Accumulated Leap Seconds=23 + { 2447048.50, 55.637581 }, //10 September 1987, UT1-UTC=-0.4535815, Accumulated Leap Seconds=23 + { 2447049.50, 55.639292 }, //11 September 1987, UT1-UTC=-0.4552923, Accumulated Leap Seconds=23 + { 2447050.50, 55.640741 }, //12 September 1987, UT1-UTC=-0.4567412, Accumulated Leap Seconds=23 + { 2447051.50, 55.641916 }, //13 September 1987, UT1-UTC=-0.4579157, Accumulated Leap Seconds=23 + { 2447052.50, 55.642852 }, //14 September 1987, UT1-UTC=-0.4588525, Accumulated Leap Seconds=23 + { 2447053.50, 55.643623 }, //15 September 1987, UT1-UTC=-0.4596229, Accumulated Leap Seconds=23 + { 2447054.50, 55.644319 }, //16 September 1987, UT1-UTC=-0.4603190, Accumulated Leap Seconds=23 + { 2447055.50, 55.645044 }, //17 September 1987, UT1-UTC=-0.4610445, Accumulated Leap Seconds=23 + { 2447056.50, 55.645892 }, //18 September 1987, UT1-UTC=-0.4618919, Accumulated Leap Seconds=23 + { 2447057.50, 55.646925 }, //19 September 1987, UT1-UTC=-0.4629249, Accumulated Leap Seconds=23 + { 2447058.50, 55.648184 }, //20 September 1987, UT1-UTC=-0.4641842, Accumulated Leap Seconds=23 + { 2447059.50, 55.649686 }, //21 September 1987, UT1-UTC=-0.4656859, Accumulated Leap Seconds=23 + { 2447060.50, 55.651419 }, //22 September 1987, UT1-UTC=-0.4674193, Accumulated Leap Seconds=23 + { 2447061.50, 55.653326 }, //23 September 1987, UT1-UTC=-0.4693262, Accumulated Leap Seconds=23 + { 2447062.50, 55.655317 }, //24 September 1987, UT1-UTC=-0.4713171, Accumulated Leap Seconds=23 + { 2447063.50, 55.657290 }, //25 September 1987, UT1-UTC=-0.4732897, Accumulated Leap Seconds=23 + { 2447064.50, 55.659147 }, //26 September 1987, UT1-UTC=-0.4751469, Accumulated Leap Seconds=23 + { 2447065.50, 55.660812 }, //27 September 1987, UT1-UTC=-0.4768124, Accumulated Leap Seconds=23 + { 2447066.50, 55.662245 }, //28 September 1987, UT1-UTC=-0.4782455, Accumulated Leap Seconds=23 + { 2447067.50, 55.663464 }, //29 September 1987, UT1-UTC=-0.4794643, Accumulated Leap Seconds=23 + { 2447068.50, 55.664549 }, //30 September 1987, UT1-UTC=-0.4805488, Accumulated Leap Seconds=23 + { 2447069.50, 55.665627 }, //01 October 1987, UT1-UTC=-0.4816271, Accumulated Leap Seconds=23 + { 2447070.50, 55.666847 }, //02 October 1987, UT1-UTC=-0.4828474, Accumulated Leap Seconds=23 + { 2447071.50, 55.668330 }, //03 October 1987, UT1-UTC=-0.4843299, Accumulated Leap Seconds=23 + { 2447072.50, 55.670133 }, //04 October 1987, UT1-UTC=-0.4861326, Accumulated Leap Seconds=23 + { 2447073.50, 55.672234 }, //05 October 1987, UT1-UTC=-0.4882336, Accumulated Leap Seconds=23 + { 2447074.50, 55.674534 }, //06 October 1987, UT1-UTC=-0.4905342, Accumulated Leap Seconds=23 + { 2447075.50, 55.676887 }, //07 October 1987, UT1-UTC=-0.4928867, Accumulated Leap Seconds=23 + { 2447076.50, 55.679130 }, //08 October 1987, UT1-UTC=-0.4951299, Accumulated Leap Seconds=23 + { 2447077.50, 55.681141 }, //09 October 1987, UT1-UTC=-0.4971413, Accumulated Leap Seconds=23 + { 2447078.50, 55.682866 }, //10 October 1987, UT1-UTC=-0.4988659, Accumulated Leap Seconds=23 + { 2447079.50, 55.684313 }, //11 October 1987, UT1-UTC=-0.5003134, Accumulated Leap Seconds=23 + { 2447080.50, 55.685541 }, //12 October 1987, UT1-UTC=-0.5015413, Accumulated Leap Seconds=23 + { 2447081.50, 55.686639 }, //13 October 1987, UT1-UTC=-0.5026389, Accumulated Leap Seconds=23 + { 2447082.50, 55.687702 }, //14 October 1987, UT1-UTC=-0.5037024, Accumulated Leap Seconds=23 + { 2447083.50, 55.688820 }, //15 October 1987, UT1-UTC=-0.5048198, Accumulated Leap Seconds=23 + { 2447084.50, 55.690063 }, //16 October 1987, UT1-UTC=-0.5060628, Accumulated Leap Seconds=23 + { 2447085.50, 55.691483 }, //17 October 1987, UT1-UTC=-0.5074828, Accumulated Leap Seconds=23 + { 2447086.50, 55.693100 }, //18 October 1987, UT1-UTC=-0.5090996, Accumulated Leap Seconds=23 + { 2447087.50, 55.694901 }, //19 October 1987, UT1-UTC=-0.5109007, Accumulated Leap Seconds=23 + { 2447088.50, 55.696849 }, //20 October 1987, UT1-UTC=-0.5128490, Accumulated Leap Seconds=23 + { 2447089.50, 55.698883 }, //21 October 1987, UT1-UTC=-0.5148832, Accumulated Leap Seconds=23 + { 2447090.50, 55.700926 }, //22 October 1987, UT1-UTC=-0.5169265, Accumulated Leap Seconds=23 + { 2447091.50, 55.702900 }, //23 October 1987, UT1-UTC=-0.5189004, Accumulated Leap Seconds=23 + { 2447092.50, 55.704729 }, //24 October 1987, UT1-UTC=-0.5207295, Accumulated Leap Seconds=23 + { 2447093.50, 55.706353 }, //25 October 1987, UT1-UTC=-0.5223526, Accumulated Leap Seconds=23 + { 2447094.50, 55.707760 }, //26 October 1987, UT1-UTC=-0.5237596, Accumulated Leap Seconds=23 + { 2447095.50, 55.709005 }, //27 October 1987, UT1-UTC=-0.5250048, Accumulated Leap Seconds=23 + { 2447096.50, 55.710206 }, //28 October 1987, UT1-UTC=-0.5262058, Accumulated Leap Seconds=23 + { 2447097.50, 55.711500 }, //29 October 1987, UT1-UTC=-0.5274997, Accumulated Leap Seconds=23 + { 2447098.50, 55.713001 }, //30 October 1987, UT1-UTC=-0.5290006, Accumulated Leap Seconds=23 + { 2447099.50, 55.714769 }, //31 October 1987, UT1-UTC=-0.5307692, Accumulated Leap Seconds=23 + { 2447100.50, 55.716800 }, //01 November 1987, UT1-UTC=-0.5327999, Accumulated Leap Seconds=23 + { 2447101.50, 55.719025 }, //02 November 1987, UT1-UTC=-0.5350249, Accumulated Leap Seconds=23 + { 2447102.50, 55.721327 }, //03 November 1987, UT1-UTC=-0.5373266, Accumulated Leap Seconds=23 + { 2447103.50, 55.723571 }, //04 November 1987, UT1-UTC=-0.5395710, Accumulated Leap Seconds=23 + { 2447104.50, 55.725646 }, //05 November 1987, UT1-UTC=-0.5416456, Accumulated Leap Seconds=23 + { 2447105.50, 55.727484 }, //06 November 1987, UT1-UTC=-0.5434840, Accumulated Leap Seconds=23 + { 2447106.50, 55.729065 }, //07 November 1987, UT1-UTC=-0.5450654, Accumulated Leap Seconds=23 + { 2447107.50, 55.730430 }, //08 November 1987, UT1-UTC=-0.5464298, Accumulated Leap Seconds=23 + { 2447108.50, 55.731658 }, //09 November 1987, UT1-UTC=-0.5476583, Accumulated Leap Seconds=23 + { 2447109.50, 55.732848 }, //10 November 1987, UT1-UTC=-0.5488479, Accumulated Leap Seconds=23 + { 2447110.50, 55.734089 }, //11 November 1987, UT1-UTC=-0.5500894, Accumulated Leap Seconds=23 + { 2447111.50, 55.735457 }, //12 November 1987, UT1-UTC=-0.5514568, Accumulated Leap Seconds=23 + { 2447112.50, 55.736997 }, //13 November 1987, UT1-UTC=-0.5529967, Accumulated Leap Seconds=23 + { 2447113.50, 55.738723 }, //14 November 1987, UT1-UTC=-0.5547231, Accumulated Leap Seconds=23 + { 2447114.50, 55.740618 }, //15 November 1987, UT1-UTC=-0.5566183, Accumulated Leap Seconds=23 + { 2447115.50, 55.742642 }, //16 November 1987, UT1-UTC=-0.5586416, Accumulated Leap Seconds=23 + { 2447116.50, 55.744747 }, //17 November 1987, UT1-UTC=-0.5607468, Accumulated Leap Seconds=23 + { 2447117.50, 55.746872 }, //18 November 1987, UT1-UTC=-0.5628720, Accumulated Leap Seconds=23 + { 2447118.50, 55.748939 }, //19 November 1987, UT1-UTC=-0.5649386, Accumulated Leap Seconds=23 + { 2447119.50, 55.750866 }, //20 November 1987, UT1-UTC=-0.5668659, Accumulated Leap Seconds=23 + { 2447120.50, 55.752594 }, //21 November 1987, UT1-UTC=-0.5685939, Accumulated Leap Seconds=23 + { 2447121.50, 55.754104 }, //22 November 1987, UT1-UTC=-0.5701038, Accumulated Leap Seconds=23 + { 2447122.50, 55.755438 }, //23 November 1987, UT1-UTC=-0.5714376, Accumulated Leap Seconds=23 + { 2447123.50, 55.756694 }, //24 November 1987, UT1-UTC=-0.5726937, Accumulated Leap Seconds=23 + { 2447124.50, 55.757998 }, //25 November 1987, UT1-UTC=-0.5739980, Accumulated Leap Seconds=23 + { 2447125.50, 55.759468 }, //26 November 1987, UT1-UTC=-0.5754680, Accumulated Leap Seconds=23 + { 2447126.50, 55.761184 }, //27 November 1987, UT1-UTC=-0.5771837, Accumulated Leap Seconds=23 + { 2447127.50, 55.763155 }, //28 November 1987, UT1-UTC=-0.5791552, Accumulated Leap Seconds=23 + { 2447128.50, 55.765324 }, //29 November 1987, UT1-UTC=-0.5813241, Accumulated Leap Seconds=23 + { 2447129.50, 55.767585 }, //30 November 1987, UT1-UTC=-0.5835847, Accumulated Leap Seconds=23 + { 2447130.50, 55.769810 }, //01 December 1987, UT1-UTC=-0.5858097, Accumulated Leap Seconds=23 + { 2447131.50, 55.771882 }, //02 December 1987, UT1-UTC=-0.5878816, Accumulated Leap Seconds=23 + { 2447132.50, 55.773723 }, //03 December 1987, UT1-UTC=-0.5897234, Accumulated Leap Seconds=23 + { 2447133.50, 55.775307 }, //04 December 1987, UT1-UTC=-0.5913070, Accumulated Leap Seconds=23 + { 2447134.50, 55.776651 }, //05 December 1987, UT1-UTC=-0.5926508, Accumulated Leap Seconds=23 + { 2447135.50, 55.777810 }, //06 December 1987, UT1-UTC=-0.5938102, Accumulated Leap Seconds=23 + { 2447136.50, 55.778868 }, //07 December 1987, UT1-UTC=-0.5948685, Accumulated Leap Seconds=23 + { 2447137.50, 55.779912 }, //08 December 1987, UT1-UTC=-0.5959118, Accumulated Leap Seconds=23 + { 2447138.50, 55.781013 }, //09 December 1987, UT1-UTC=-0.5970130, Accumulated Leap Seconds=23 + { 2447139.50, 55.782230 }, //10 December 1987, UT1-UTC=-0.5982298, Accumulated Leap Seconds=23 + { 2447140.50, 55.783602 }, //11 December 1987, UT1-UTC=-0.5996019, Accumulated Leap Seconds=23 + { 2447141.50, 55.785141 }, //12 December 1987, UT1-UTC=-0.6011407, Accumulated Leap Seconds=23 + { 2447142.50, 55.786834 }, //13 December 1987, UT1-UTC=-0.6028336, Accumulated Leap Seconds=23 + { 2447143.50, 55.788645 }, //14 December 1987, UT1-UTC=-0.6046452, Accumulated Leap Seconds=23 + { 2447144.50, 55.790520 }, //15 December 1987, UT1-UTC=-0.6065196, Accumulated Leap Seconds=23 + { 2447145.50, 55.792384 }, //16 December 1987, UT1-UTC=-0.6083840, Accumulated Leap Seconds=23 + { 2447146.50, 55.794161 }, //17 December 1987, UT1-UTC=-0.6101611, Accumulated Leap Seconds=23 + { 2447147.50, 55.795782 }, //18 December 1987, UT1-UTC=-0.6117822, Accumulated Leap Seconds=23 + { 2447148.50, 55.797212 }, //19 December 1987, UT1-UTC=-0.6132118, Accumulated Leap Seconds=23 + { 2447149.50, 55.798472 }, //20 December 1987, UT1-UTC=-0.6144719, Accumulated Leap Seconds=23 + { 2447150.50, 55.799651 }, //21 December 1987, UT1-UTC=-0.6156514, Accumulated Leap Seconds=23 + { 2447151.50, 55.800885 }, //22 December 1987, UT1-UTC=-0.6168848, Accumulated Leap Seconds=23 + { 2447152.50, 55.802305 }, //23 December 1987, UT1-UTC=-0.6183055, Accumulated Leap Seconds=23 + { 2447153.50, 55.804001 }, //24 December 1987, UT1-UTC=-0.6200012, Accumulated Leap Seconds=23 + { 2447154.50, 55.805985 }, //25 December 1987, UT1-UTC=-0.6219847, Accumulated Leap Seconds=23 + { 2447155.50, 55.808188 }, //26 December 1987, UT1-UTC=-0.6241884, Accumulated Leap Seconds=23 + { 2447156.50, 55.810488 }, //27 December 1987, UT1-UTC=-0.6264885, Accumulated Leap Seconds=23 + { 2447157.50, 55.812746 }, //28 December 1987, UT1-UTC=-0.6287460, Accumulated Leap Seconds=23 + { 2447158.50, 55.814843 }, //29 December 1987, UT1-UTC=-0.6308434, Accumulated Leap Seconds=23 + { 2447159.50, 55.816704 }, //30 December 1987, UT1-UTC=-0.6327042, Accumulated Leap Seconds=23 + { 2447160.50, 55.818301 }, //31 December 1987, UT1-UTC=-0.6343015, Accumulated Leap Seconds=23 + { 2447161.50, 55.819661 }, //01 January 1988, UT1-UTC= 0.3643391, Accumulated Leap Seconds=24 + { 2447162.50, 55.820843 }, //02 January 1988, UT1-UTC= 0.3631572, Accumulated Leap Seconds=24 + { 2447163.50, 55.821926 }, //03 January 1988, UT1-UTC= 0.3620737, Accumulated Leap Seconds=24 + { 2447164.50, 55.822995 }, //04 January 1988, UT1-UTC= 0.3610047, Accumulated Leap Seconds=24 + { 2447165.50, 55.824121 }, //05 January 1988, UT1-UTC= 0.3598785, Accumulated Leap Seconds=24 + { 2447166.50, 55.825360 }, //06 January 1988, UT1-UTC= 0.3586397, Accumulated Leap Seconds=24 + { 2447167.50, 55.826750 }, //07 January 1988, UT1-UTC= 0.3572503, Accumulated Leap Seconds=24 + { 2447168.50, 55.828302 }, //08 January 1988, UT1-UTC= 0.3556980, Accumulated Leap Seconds=24 + { 2447169.50, 55.830005 }, //09 January 1988, UT1-UTC= 0.3539945, Accumulated Leap Seconds=24 + { 2447170.50, 55.831830 }, //10 January 1988, UT1-UTC= 0.3521697, Accumulated Leap Seconds=24 + { 2447171.50, 55.833719 }, //11 January 1988, UT1-UTC= 0.3502810, Accumulated Leap Seconds=24 + { 2447172.50, 55.835597 }, //12 January 1988, UT1-UTC= 0.3484034, Accumulated Leap Seconds=24 + { 2447173.50, 55.837392 }, //13 January 1988, UT1-UTC= 0.3466079, Accumulated Leap Seconds=24 + { 2447174.50, 55.839042 }, //14 January 1988, UT1-UTC= 0.3449580, Accumulated Leap Seconds=24 + { 2447175.50, 55.840504 }, //15 January 1988, UT1-UTC= 0.3434961, Accumulated Leap Seconds=24 + { 2447176.50, 55.841767 }, //16 January 1988, UT1-UTC= 0.3422334, Accumulated Leap Seconds=24 + { 2447177.50, 55.842874 }, //17 January 1988, UT1-UTC= 0.3411257, Accumulated Leap Seconds=24 + { 2447178.50, 55.843930 }, //18 January 1988, UT1-UTC= 0.3400704, Accumulated Leap Seconds=24 + { 2447179.50, 55.845065 }, //19 January 1988, UT1-UTC= 0.3389347, Accumulated Leap Seconds=24 + { 2447180.50, 55.846392 }, //20 January 1988, UT1-UTC= 0.3376077, Accumulated Leap Seconds=24 + { 2447181.50, 55.847964 }, //21 January 1988, UT1-UTC= 0.3360362, Accumulated Leap Seconds=24 + { 2447182.50, 55.849749 }, //22 January 1988, UT1-UTC= 0.3342511, Accumulated Leap Seconds=24 + { 2447183.50, 55.851635 }, //23 January 1988, UT1-UTC= 0.3323647, Accumulated Leap Seconds=24 + { 2447184.50, 55.853475 }, //24 January 1988, UT1-UTC= 0.3305253, Accumulated Leap Seconds=24 + { 2447185.50, 55.855141 }, //25 January 1988, UT1-UTC= 0.3288589, Accumulated Leap Seconds=24 + { 2447186.50, 55.856555 }, //26 January 1988, UT1-UTC= 0.3274454, Accumulated Leap Seconds=24 + { 2447187.50, 55.857696 }, //27 January 1988, UT1-UTC= 0.3263037, Accumulated Leap Seconds=24 + { 2447188.50, 55.858605 }, //28 January 1988, UT1-UTC= 0.3253945, Accumulated Leap Seconds=24 + { 2447189.50, 55.859356 }, //29 January 1988, UT1-UTC= 0.3246443, Accumulated Leap Seconds=24 + { 2447190.50, 55.860031 }, //30 January 1988, UT1-UTC= 0.3239692, Accumulated Leap Seconds=24 + { 2447191.50, 55.860719 }, //31 January 1988, UT1-UTC= 0.3232813, Accumulated Leap Seconds=24 + { 2447192.50, 55.861503 }, //01 February 1988, UT1-UTC= 0.3224972, Accumulated Leap Seconds=24 + { 2447193.50, 55.862451 }, //02 February 1988, UT1-UTC= 0.3215485, Accumulated Leap Seconds=24 + { 2447194.50, 55.863610 }, //03 February 1988, UT1-UTC= 0.3203896, Accumulated Leap Seconds=24 + { 2447195.50, 55.864998 }, //04 February 1988, UT1-UTC= 0.3190024, Accumulated Leap Seconds=24 + { 2447196.50, 55.866601 }, //05 February 1988, UT1-UTC= 0.3173992, Accumulated Leap Seconds=24 + { 2447197.50, 55.868383 }, //06 February 1988, UT1-UTC= 0.3156167, Accumulated Leap Seconds=24 + { 2447198.50, 55.870290 }, //07 February 1988, UT1-UTC= 0.3137102, Accumulated Leap Seconds=24 + { 2447199.50, 55.872254 }, //08 February 1988, UT1-UTC= 0.3117456, Accumulated Leap Seconds=24 + { 2447200.50, 55.874206 }, //09 February 1988, UT1-UTC= 0.3097938, Accumulated Leap Seconds=24 + { 2447201.50, 55.876071 }, //10 February 1988, UT1-UTC= 0.3079291, Accumulated Leap Seconds=24 + { 2447202.50, 55.877787 }, //11 February 1988, UT1-UTC= 0.3062131, Accumulated Leap Seconds=24 + { 2447203.50, 55.879325 }, //12 February 1988, UT1-UTC= 0.3046751, Accumulated Leap Seconds=24 + { 2447204.50, 55.880708 }, //13 February 1988, UT1-UTC= 0.3032924, Accumulated Leap Seconds=24 + { 2447205.50, 55.882026 }, //14 February 1988, UT1-UTC= 0.3019738, Accumulated Leap Seconds=24 + { 2447206.50, 55.883429 }, //15 February 1988, UT1-UTC= 0.3005708, Accumulated Leap Seconds=24 + { 2447207.50, 55.885076 }, //16 February 1988, UT1-UTC= 0.2989235, Accumulated Leap Seconds=24 + { 2447208.50, 55.887079 }, //17 February 1988, UT1-UTC= 0.2969211, Accumulated Leap Seconds=24 + { 2447209.50, 55.889453 }, //18 February 1988, UT1-UTC= 0.2945468, Accumulated Leap Seconds=24 + { 2447210.50, 55.892110 }, //19 February 1988, UT1-UTC= 0.2918898, Accumulated Leap Seconds=24 + { 2447211.50, 55.894879 }, //20 February 1988, UT1-UTC= 0.2891212, Accumulated Leap Seconds=24 + { 2447212.50, 55.897567 }, //21 February 1988, UT1-UTC= 0.2864326, Accumulated Leap Seconds=24 + { 2447213.50, 55.900024 }, //22 February 1988, UT1-UTC= 0.2839763, Accumulated Leap Seconds=24 + { 2447214.50, 55.902164 }, //23 February 1988, UT1-UTC= 0.2818358, Accumulated Leap Seconds=24 + { 2447215.50, 55.903983 }, //24 February 1988, UT1-UTC= 0.2800168, Accumulated Leap Seconds=24 + { 2447216.50, 55.905547 }, //25 February 1988, UT1-UTC= 0.2784534, Accumulated Leap Seconds=24 + { 2447217.50, 55.906955 }, //26 February 1988, UT1-UTC= 0.2770448, Accumulated Leap Seconds=24 + { 2447218.50, 55.908315 }, //27 February 1988, UT1-UTC= 0.2756852, Accumulated Leap Seconds=24 + { 2447219.50, 55.909725 }, //28 February 1988, UT1-UTC= 0.2742752, Accumulated Leap Seconds=24 + { 2447220.50, 55.911267 }, //29 February 1988, UT1-UTC= 0.2727334, Accumulated Leap Seconds=24 + { 2447221.50, 55.912988 }, //01 March 1988, UT1-UTC= 0.2710117, Accumulated Leap Seconds=24 + { 2447222.50, 55.914910 }, //02 March 1988, UT1-UTC= 0.2690901, Accumulated Leap Seconds=24 + { 2447223.50, 55.917021 }, //03 March 1988, UT1-UTC= 0.2669788, Accumulated Leap Seconds=24 + { 2447224.50, 55.919282 }, //04 March 1988, UT1-UTC= 0.2647180, Accumulated Leap Seconds=24 + { 2447225.50, 55.921627 }, //05 March 1988, UT1-UTC= 0.2623726, Accumulated Leap Seconds=24 + { 2447226.50, 55.923976 }, //06 March 1988, UT1-UTC= 0.2600238, Accumulated Leap Seconds=24 + { 2447227.50, 55.926242 }, //07 March 1988, UT1-UTC= 0.2577578, Accumulated Leap Seconds=24 + { 2447228.50, 55.928344 }, //08 March 1988, UT1-UTC= 0.2556557, Accumulated Leap Seconds=24 + { 2447229.50, 55.930219 }, //09 March 1988, UT1-UTC= 0.2537812, Accumulated Leap Seconds=24 + { 2447230.50, 55.931830 }, //10 March 1988, UT1-UTC= 0.2521702, Accumulated Leap Seconds=24 + { 2447231.50, 55.933178 }, //11 March 1988, UT1-UTC= 0.2508219, Accumulated Leap Seconds=24 + { 2447232.50, 55.934331 }, //12 March 1988, UT1-UTC= 0.2496692, Accumulated Leap Seconds=24 + { 2447233.50, 55.935412 }, //13 March 1988, UT1-UTC= 0.2485880, Accumulated Leap Seconds=24 + { 2447234.50, 55.936572 }, //14 March 1988, UT1-UTC= 0.2474275, Accumulated Leap Seconds=24 + { 2447235.50, 55.937950 }, //15 March 1988, UT1-UTC= 0.2460500, Accumulated Leap Seconds=24 + { 2447236.50, 55.939630 }, //16 March 1988, UT1-UTC= 0.2443702, Accumulated Leap Seconds=24 + { 2447237.50, 55.941605 }, //17 March 1988, UT1-UTC= 0.2423948, Accumulated Leap Seconds=24 + { 2447238.50, 55.943777 }, //18 March 1988, UT1-UTC= 0.2402232, Accumulated Leap Seconds=24 + { 2447239.50, 55.945989 }, //19 March 1988, UT1-UTC= 0.2380114, Accumulated Leap Seconds=24 + { 2447240.50, 55.948078 }, //20 March 1988, UT1-UTC= 0.2359220, Accumulated Leap Seconds=24 + { 2447241.50, 55.949923 }, //21 March 1988, UT1-UTC= 0.2340768, Accumulated Leap Seconds=24 + { 2447242.50, 55.951479 }, //22 March 1988, UT1-UTC= 0.2325209, Accumulated Leap Seconds=24 + { 2447243.50, 55.952781 }, //23 March 1988, UT1-UTC= 0.2312189, Accumulated Leap Seconds=24 + { 2447244.50, 55.953916 }, //24 March 1988, UT1-UTC= 0.2300844, Accumulated Leap Seconds=24 + { 2447245.50, 55.954983 }, //25 March 1988, UT1-UTC= 0.2290168, Accumulated Leap Seconds=24 + { 2447246.50, 55.956086 }, //26 March 1988, UT1-UTC= 0.2279140, Accumulated Leap Seconds=24 + { 2447247.50, 55.957308 }, //27 March 1988, UT1-UTC= 0.2266917, Accumulated Leap Seconds=24 + { 2447248.50, 55.958711 }, //28 March 1988, UT1-UTC= 0.2252886, Accumulated Leap Seconds=24 + { 2447249.50, 55.960327 }, //29 March 1988, UT1-UTC= 0.2236735, Accumulated Leap Seconds=24 + { 2447250.50, 55.962156 }, //30 March 1988, UT1-UTC= 0.2218443, Accumulated Leap Seconds=24 + { 2447251.50, 55.964178 }, //31 March 1988, UT1-UTC= 0.2198219, Accumulated Leap Seconds=24 + { 2447252.50, 55.966347 }, //01 April 1988, UT1-UTC= 0.2176526, Accumulated Leap Seconds=24 + { 2447253.50, 55.968597 }, //02 April 1988, UT1-UTC= 0.2154028, Accumulated Leap Seconds=24 + { 2447254.50, 55.970850 }, //03 April 1988, UT1-UTC= 0.2131499, Accumulated Leap Seconds=24 + { 2447255.50, 55.973024 }, //04 April 1988, UT1-UTC= 0.2109755, Accumulated Leap Seconds=24 + { 2447256.50, 55.975051 }, //05 April 1988, UT1-UTC= 0.2089488, Accumulated Leap Seconds=24 + { 2447257.50, 55.976893 }, //06 April 1988, UT1-UTC= 0.2071069, Accumulated Leap Seconds=24 + { 2447258.50, 55.978557 }, //07 April 1988, UT1-UTC= 0.2054428, Accumulated Leap Seconds=24 + { 2447259.50, 55.980098 }, //08 April 1988, UT1-UTC= 0.2039017, Accumulated Leap Seconds=24 + { 2447260.50, 55.981612 }, //09 April 1988, UT1-UTC= 0.2023878, Accumulated Leap Seconds=24 + { 2447261.50, 55.983217 }, //10 April 1988, UT1-UTC= 0.2007825, Accumulated Leap Seconds=24 + { 2447262.50, 55.985030 }, //11 April 1988, UT1-UTC= 0.1989702, Accumulated Leap Seconds=24 + { 2447263.50, 55.987136 }, //12 April 1988, UT1-UTC= 0.1968642, Accumulated Leap Seconds=24 + { 2447264.50, 55.989551 }, //13 April 1988, UT1-UTC= 0.1944488, Accumulated Leap Seconds=24 + { 2447265.50, 55.992205 }, //14 April 1988, UT1-UTC= 0.1917951, Accumulated Leap Seconds=24 + { 2447266.50, 55.994948 }, //15 April 1988, UT1-UTC= 0.1890522, Accumulated Leap Seconds=24 + { 2447267.50, 55.997594 }, //16 April 1988, UT1-UTC= 0.1864062, Accumulated Leap Seconds=24 + { 2447268.50, 55.999982 }, //17 April 1988, UT1-UTC= 0.1840175, Accumulated Leap Seconds=24 + { 2447269.50, 56.002022 }, //18 April 1988, UT1-UTC= 0.1819779, Accumulated Leap Seconds=24 + { 2447270.50, 56.003703 }, //19 April 1988, UT1-UTC= 0.1802974, Accumulated Leap Seconds=24 + { 2447271.50, 56.005086 }, //20 April 1988, UT1-UTC= 0.1789135, Accumulated Leap Seconds=24 + { 2447272.50, 56.006280 }, //21 April 1988, UT1-UTC= 0.1777201, Accumulated Leap Seconds=24 + { 2447273.50, 56.007393 }, //22 April 1988, UT1-UTC= 0.1766070, Accumulated Leap Seconds=24 + { 2447274.50, 56.008522 }, //23 April 1988, UT1-UTC= 0.1754784, Accumulated Leap Seconds=24 + { 2447275.50, 56.009740 }, //24 April 1988, UT1-UTC= 0.1742598, Accumulated Leap Seconds=24 + { 2447276.50, 56.011101 }, //25 April 1988, UT1-UTC= 0.1728986, Accumulated Leap Seconds=24 + { 2447277.50, 56.012632 }, //26 April 1988, UT1-UTC= 0.1713676, Accumulated Leap Seconds=24 + { 2447278.50, 56.014335 }, //27 April 1988, UT1-UTC= 0.1696654, Accumulated Leap Seconds=24 + { 2447279.50, 56.016184 }, //28 April 1988, UT1-UTC= 0.1678156, Accumulated Leap Seconds=24 + { 2447280.50, 56.018133 }, //29 April 1988, UT1-UTC= 0.1658668, Accumulated Leap Seconds=24 + { 2447281.50, 56.020104 }, //30 April 1988, UT1-UTC= 0.1638957, Accumulated Leap Seconds=24 + { 2447282.50, 56.022010 }, //01 May 1988, UT1-UTC= 0.1619898, Accumulated Leap Seconds=24 + { 2447283.50, 56.023772 }, //02 May 1988, UT1-UTC= 0.1602277, Accumulated Leap Seconds=24 + { 2447284.50, 56.025340 }, //03 May 1988, UT1-UTC= 0.1586604, Accumulated Leap Seconds=24 + { 2447285.50, 56.026707 }, //04 May 1988, UT1-UTC= 0.1572926, Accumulated Leap Seconds=24 + { 2447286.50, 56.027926 }, //05 May 1988, UT1-UTC= 0.1560735, Accumulated Leap Seconds=24 + { 2447287.50, 56.029092 }, //06 May 1988, UT1-UTC= 0.1549079, Accumulated Leap Seconds=24 + { 2447288.50, 56.030325 }, //07 May 1988, UT1-UTC= 0.1536752, Accumulated Leap Seconds=24 + { 2447289.50, 56.031740 }, //08 May 1988, UT1-UTC= 0.1522597, Accumulated Leap Seconds=24 + { 2447290.50, 56.033419 }, //09 May 1988, UT1-UTC= 0.1505810, Accumulated Leap Seconds=24 + { 2447291.50, 56.035383 }, //10 May 1988, UT1-UTC= 0.1486168, Accumulated Leap Seconds=24 + { 2447292.50, 56.037585 }, //11 May 1988, UT1-UTC= 0.1464149, Accumulated Leap Seconds=24 + { 2447293.50, 56.039916 }, //12 May 1988, UT1-UTC= 0.1440838, Accumulated Leap Seconds=24 + { 2447294.50, 56.042236 }, //13 May 1988, UT1-UTC= 0.1417637, Accumulated Leap Seconds=24 + { 2447295.50, 56.044411 }, //14 May 1988, UT1-UTC= 0.1395894, Accumulated Leap Seconds=24 + { 2447296.50, 56.046336 }, //15 May 1988, UT1-UTC= 0.1376640, Accumulated Leap Seconds=24 + { 2447297.50, 56.047971 }, //16 May 1988, UT1-UTC= 0.1360288, Accumulated Leap Seconds=24 + { 2447298.50, 56.049343 }, //17 May 1988, UT1-UTC= 0.1346574, Accumulated Leap Seconds=24 + { 2447299.50, 56.050521 }, //18 May 1988, UT1-UTC= 0.1334793, Accumulated Leap Seconds=24 + { 2447300.50, 56.051586 }, //19 May 1988, UT1-UTC= 0.1324141, Accumulated Leap Seconds=24 + { 2447301.50, 56.052625 }, //20 May 1988, UT1-UTC= 0.1313745, Accumulated Leap Seconds=24 + { 2447302.50, 56.053720 }, //21 May 1988, UT1-UTC= 0.1302795, Accumulated Leap Seconds=24 + { 2447303.50, 56.054928 }, //22 May 1988, UT1-UTC= 0.1290715, Accumulated Leap Seconds=24 + { 2447304.50, 56.056280 }, //23 May 1988, UT1-UTC= 0.1277202, Accumulated Leap Seconds=24 + { 2447305.50, 56.057783 }, //24 May 1988, UT1-UTC= 0.1262165, Accumulated Leap Seconds=24 + { 2447306.50, 56.059421 }, //25 May 1988, UT1-UTC= 0.1245788, Accumulated Leap Seconds=24 + { 2447307.50, 56.061148 }, //26 May 1988, UT1-UTC= 0.1228523, Accumulated Leap Seconds=24 + { 2447308.50, 56.062904 }, //27 May 1988, UT1-UTC= 0.1210956, Accumulated Leap Seconds=24 + { 2447309.50, 56.064627 }, //28 May 1988, UT1-UTC= 0.1193732, Accumulated Leap Seconds=24 + { 2447310.50, 56.066250 }, //29 May 1988, UT1-UTC= 0.1177502, Accumulated Leap Seconds=24 + { 2447311.50, 56.067704 }, //30 May 1988, UT1-UTC= 0.1162955, Accumulated Leap Seconds=24 + { 2447312.50, 56.068951 }, //31 May 1988, UT1-UTC= 0.1150485, Accumulated Leap Seconds=24 + { 2447313.50, 56.070001 }, //01 June 1988, UT1-UTC= 0.1139985, Accumulated Leap Seconds=24 + { 2447314.50, 56.070917 }, //02 June 1988, UT1-UTC= 0.1130834, Accumulated Leap Seconds=24 + { 2447315.50, 56.071798 }, //03 June 1988, UT1-UTC= 0.1122017, Accumulated Leap Seconds=24 + { 2447316.50, 56.072777 }, //04 June 1988, UT1-UTC= 0.1112229, Accumulated Leap Seconds=24 + { 2447317.50, 56.073957 }, //05 June 1988, UT1-UTC= 0.1100429, Accumulated Leap Seconds=24 + { 2447318.50, 56.075378 }, //06 June 1988, UT1-UTC= 0.1086222, Accumulated Leap Seconds=24 + { 2447319.50, 56.077005 }, //07 June 1988, UT1-UTC= 0.1069952, Accumulated Leap Seconds=24 + { 2447320.50, 56.078732 }, //08 June 1988, UT1-UTC= 0.1052676, Accumulated Leap Seconds=24 + { 2447321.50, 56.080424 }, //09 June 1988, UT1-UTC= 0.1035758, Accumulated Leap Seconds=24 + { 2447322.50, 56.081954 }, //10 June 1988, UT1-UTC= 0.1020464, Accumulated Leap Seconds=24 + { 2447323.50, 56.083230 }, //11 June 1988, UT1-UTC= 0.1007698, Accumulated Leap Seconds=24 + { 2447324.50, 56.084219 }, //12 June 1988, UT1-UTC= 0.0997809, Accumulated Leap Seconds=24 + { 2447325.50, 56.084943 }, //13 June 1988, UT1-UTC= 0.0990566, Accumulated Leap Seconds=24 + { 2447326.50, 56.085469 }, //14 June 1988, UT1-UTC= 0.0985306, Accumulated Leap Seconds=24 + { 2447327.50, 56.085887 }, //15 June 1988, UT1-UTC= 0.0981126, Accumulated Leap Seconds=24 + { 2447328.50, 56.086290 }, //16 June 1988, UT1-UTC= 0.0977104, Accumulated Leap Seconds=24 + { 2447329.50, 56.086751 }, //17 June 1988, UT1-UTC= 0.0972491, Accumulated Leap Seconds=24 + { 2447330.50, 56.087316 }, //18 June 1988, UT1-UTC= 0.0966836, Accumulated Leap Seconds=24 + { 2447331.50, 56.087993 }, //19 June 1988, UT1-UTC= 0.0960067, Accumulated Leap Seconds=24 + { 2447332.50, 56.088770 }, //20 June 1988, UT1-UTC= 0.0952299, Accumulated Leap Seconds=24 + { 2447333.50, 56.089629 }, //21 June 1988, UT1-UTC= 0.0943709, Accumulated Leap Seconds=24 + { 2447334.50, 56.090538 }, //22 June 1988, UT1-UTC= 0.0934619, Accumulated Leap Seconds=24 + { 2447335.50, 56.091449 }, //23 June 1988, UT1-UTC= 0.0925512, Accumulated Leap Seconds=24 + { 2447336.50, 56.092297 }, //24 June 1988, UT1-UTC= 0.0917026, Accumulated Leap Seconds=24 + { 2447337.50, 56.093019 }, //25 June 1988, UT1-UTC= 0.0909808, Accumulated Leap Seconds=24 + { 2447338.50, 56.093559 }, //26 June 1988, UT1-UTC= 0.0904415, Accumulated Leap Seconds=24 + { 2447339.50, 56.093879 }, //27 June 1988, UT1-UTC= 0.0901208, Accumulated Leap Seconds=24 + { 2447340.50, 56.093982 }, //28 June 1988, UT1-UTC= 0.0900180, Accumulated Leap Seconds=24 + { 2447341.50, 56.093934 }, //29 June 1988, UT1-UTC= 0.0900655, Accumulated Leap Seconds=24 + { 2447342.50, 56.093860 }, //30 June 1988, UT1-UTC= 0.0901400, Accumulated Leap Seconds=24 + { 2447343.50, 56.093903 }, //01 July 1988, UT1-UTC= 0.0900965, Accumulated Leap Seconds=24 + { 2447344.50, 56.094187 }, //02 July 1988, UT1-UTC= 0.0898133, Accumulated Leap Seconds=24 + { 2447345.50, 56.094765 }, //03 July 1988, UT1-UTC= 0.0892348, Accumulated Leap Seconds=24 + { 2447346.50, 56.095612 }, //04 July 1988, UT1-UTC= 0.0883882, Accumulated Leap Seconds=24 + { 2447347.50, 56.096623 }, //05 July 1988, UT1-UTC= 0.0873765, Accumulated Leap Seconds=24 + { 2447348.50, 56.097653 }, //06 July 1988, UT1-UTC= 0.0863472, Accumulated Leap Seconds=24 + { 2447349.50, 56.098563 }, //07 July 1988, UT1-UTC= 0.0854367, Accumulated Leap Seconds=24 + { 2447350.50, 56.099255 }, //08 July 1988, UT1-UTC= 0.0847450, Accumulated Leap Seconds=24 + { 2447351.50, 56.099683 }, //09 July 1988, UT1-UTC= 0.0843173, Accumulated Leap Seconds=24 + { 2447352.50, 56.099865 }, //10 July 1988, UT1-UTC= 0.0841351, Accumulated Leap Seconds=24 + { 2447353.50, 56.099872 }, //11 July 1988, UT1-UTC= 0.0841282, Accumulated Leap Seconds=24 + { 2447354.50, 56.099794 }, //12 July 1988, UT1-UTC= 0.0842057, Accumulated Leap Seconds=24 + { 2447355.50, 56.099730 }, //13 July 1988, UT1-UTC= 0.0842702, Accumulated Leap Seconds=24 + { 2447356.50, 56.099768 }, //14 July 1988, UT1-UTC= 0.0842317, Accumulated Leap Seconds=24 + { 2447357.50, 56.099968 }, //15 July 1988, UT1-UTC= 0.0840321, Accumulated Leap Seconds=24 + { 2447358.50, 56.100349 }, //16 July 1988, UT1-UTC= 0.0836510, Accumulated Leap Seconds=24 + { 2447359.50, 56.100903 }, //17 July 1988, UT1-UTC= 0.0830968, Accumulated Leap Seconds=24 + { 2447360.50, 56.101599 }, //18 July 1988, UT1-UTC= 0.0824008, Accumulated Leap Seconds=24 + { 2447361.50, 56.102396 }, //19 July 1988, UT1-UTC= 0.0816045, Accumulated Leap Seconds=24 + { 2447362.50, 56.103238 }, //20 July 1988, UT1-UTC= 0.0807624, Accumulated Leap Seconds=24 + { 2447363.50, 56.104065 }, //21 July 1988, UT1-UTC= 0.0799349, Accumulated Leap Seconds=24 + { 2447364.50, 56.104824 }, //22 July 1988, UT1-UTC= 0.0791762, Accumulated Leap Seconds=24 + { 2447365.50, 56.105472 }, //23 July 1988, UT1-UTC= 0.0785285, Accumulated Leap Seconds=24 + { 2447366.50, 56.105970 }, //24 July 1988, UT1-UTC= 0.0780301, Accumulated Leap Seconds=24 + { 2447367.50, 56.106306 }, //25 July 1988, UT1-UTC= 0.0776942, Accumulated Leap Seconds=24 + { 2447368.50, 56.106507 }, //26 July 1988, UT1-UTC= 0.0774927, Accumulated Leap Seconds=24 + { 2447369.50, 56.106661 }, //27 July 1988, UT1-UTC= 0.0773393, Accumulated Leap Seconds=24 + { 2447370.50, 56.106900 }, //28 July 1988, UT1-UTC= 0.0770997, Accumulated Leap Seconds=24 + { 2447371.50, 56.107364 }, //29 July 1988, UT1-UTC= 0.0766355, Accumulated Leap Seconds=24 + { 2447372.50, 56.108138 }, //30 July 1988, UT1-UTC= 0.0758623, Accumulated Leap Seconds=24 + { 2447373.50, 56.109208 }, //31 July 1988, UT1-UTC= 0.0747922, Accumulated Leap Seconds=24 + { 2447374.50, 56.110463 }, //01 August 1988, UT1-UTC= 0.0735370, Accumulated Leap Seconds=24 + { 2447375.50, 56.111749 }, //02 August 1988, UT1-UTC= 0.0722505, Accumulated Leap Seconds=24 + { 2447376.50, 56.112912 }, //03 August 1988, UT1-UTC= 0.0710878, Accumulated Leap Seconds=24 + { 2447377.50, 56.113837 }, //04 August 1988, UT1-UTC= 0.0701627, Accumulated Leap Seconds=24 + { 2447378.50, 56.114482 }, //05 August 1988, UT1-UTC= 0.0695180, Accumulated Leap Seconds=24 + { 2447379.50, 56.114869 }, //06 August 1988, UT1-UTC= 0.0691308, Accumulated Leap Seconds=24 + { 2447380.50, 56.115060 }, //07 August 1988, UT1-UTC= 0.0689399, Accumulated Leap Seconds=24 + { 2447381.50, 56.115115 }, //08 August 1988, UT1-UTC= 0.0688849, Accumulated Leap Seconds=24 + { 2447382.50, 56.115128 }, //09 August 1988, UT1-UTC= 0.0688718, Accumulated Leap Seconds=24 + { 2447383.50, 56.115195 }, //10 August 1988, UT1-UTC= 0.0688053, Accumulated Leap Seconds=24 + { 2447384.50, 56.115390 }, //11 August 1988, UT1-UTC= 0.0686103, Accumulated Leap Seconds=24 + { 2447385.50, 56.115762 }, //12 August 1988, UT1-UTC= 0.0682377, Accumulated Leap Seconds=24 + { 2447386.50, 56.116327 }, //13 August 1988, UT1-UTC= 0.0676731, Accumulated Leap Seconds=24 + { 2447387.50, 56.117065 }, //14 August 1988, UT1-UTC= 0.0669348, Accumulated Leap Seconds=24 + { 2447388.50, 56.117934 }, //15 August 1988, UT1-UTC= 0.0660663, Accumulated Leap Seconds=24 + { 2447389.50, 56.118873 }, //16 August 1988, UT1-UTC= 0.0651271, Accumulated Leap Seconds=24 + { 2447390.50, 56.119818 }, //17 August 1988, UT1-UTC= 0.0641818, Accumulated Leap Seconds=24 + { 2447391.50, 56.120702 }, //18 August 1988, UT1-UTC= 0.0632978, Accumulated Leap Seconds=24 + { 2447392.50, 56.121464 }, //19 August 1988, UT1-UTC= 0.0625359, Accumulated Leap Seconds=24 + { 2447393.50, 56.122062 }, //20 August 1988, UT1-UTC= 0.0619383, Accumulated Leap Seconds=24 + { 2447394.50, 56.122480 }, //21 August 1988, UT1-UTC= 0.0615202, Accumulated Leap Seconds=24 + { 2447395.50, 56.122737 }, //22 August 1988, UT1-UTC= 0.0612633, Accumulated Leap Seconds=24 + { 2447396.50, 56.122900 }, //23 August 1988, UT1-UTC= 0.0611001, Accumulated Leap Seconds=24 + { 2447397.50, 56.123086 }, //24 August 1988, UT1-UTC= 0.0609137, Accumulated Leap Seconds=24 + { 2447398.50, 56.123437 }, //25 August 1988, UT1-UTC= 0.0605631, Accumulated Leap Seconds=24 + { 2447399.50, 56.124074 }, //26 August 1988, UT1-UTC= 0.0599264, Accumulated Leap Seconds=24 + { 2447400.50, 56.125051 }, //27 August 1988, UT1-UTC= 0.0589488, Accumulated Leap Seconds=24 + { 2447401.50, 56.126329 }, //28 August 1988, UT1-UTC= 0.0576714, Accumulated Leap Seconds=24 + { 2447402.50, 56.127770 }, //29 August 1988, UT1-UTC= 0.0562298, Accumulated Leap Seconds=24 + { 2447403.50, 56.129191 }, //30 August 1988, UT1-UTC= 0.0548094, Accumulated Leap Seconds=24 + { 2447404.50, 56.130422 }, //31 August 1988, UT1-UTC= 0.0535782, Accumulated Leap Seconds=24 + { 2447405.50, 56.131374 }, //01 September 1988, UT1-UTC= 0.0526264, Accumulated Leap Seconds=24 + { 2447406.50, 56.132039 }, //02 September 1988, UT1-UTC= 0.0519614, Accumulated Leap Seconds=24 + { 2447407.50, 56.132475 }, //03 September 1988, UT1-UTC= 0.0515249, Accumulated Leap Seconds=24 + { 2447408.50, 56.132781 }, //04 September 1988, UT1-UTC= 0.0512189, Accumulated Leap Seconds=24 + { 2447409.50, 56.133056 }, //05 September 1988, UT1-UTC= 0.0509438, Accumulated Leap Seconds=24 + { 2447410.50, 56.133383 }, //06 September 1988, UT1-UTC= 0.0506166, Accumulated Leap Seconds=24 + { 2447411.50, 56.133826 }, //07 September 1988, UT1-UTC= 0.0501735, Accumulated Leap Seconds=24 + { 2447412.50, 56.134424 }, //08 September 1988, UT1-UTC= 0.0495759, Accumulated Leap Seconds=24 + { 2447413.50, 56.135188 }, //09 September 1988, UT1-UTC= 0.0488117, Accumulated Leap Seconds=24 + { 2447414.50, 56.136107 }, //10 September 1988, UT1-UTC= 0.0478926, Accumulated Leap Seconds=24 + { 2447415.50, 56.137148 }, //11 September 1988, UT1-UTC= 0.0468522, Accumulated Leap Seconds=24 + { 2447416.50, 56.138260 }, //12 September 1988, UT1-UTC= 0.0457403, Accumulated Leap Seconds=24 + { 2447417.50, 56.139388 }, //13 September 1988, UT1-UTC= 0.0446119, Accumulated Leap Seconds=24 + { 2447418.50, 56.140479 }, //14 September 1988, UT1-UTC= 0.0435205, Accumulated Leap Seconds=24 + { 2447419.50, 56.141487 }, //15 September 1988, UT1-UTC= 0.0425126, Accumulated Leap Seconds=24 + { 2447420.50, 56.142379 }, //16 September 1988, UT1-UTC= 0.0416208, Accumulated Leap Seconds=24 + { 2447421.50, 56.143143 }, //17 September 1988, UT1-UTC= 0.0408569, Accumulated Leap Seconds=24 + { 2447422.50, 56.143795 }, //18 September 1988, UT1-UTC= 0.0402052, Accumulated Leap Seconds=24 + { 2447423.50, 56.144385 }, //19 September 1988, UT1-UTC= 0.0396149, Accumulated Leap Seconds=24 + { 2447424.50, 56.145003 }, //20 September 1988, UT1-UTC= 0.0389966, Accumulated Leap Seconds=24 + { 2447425.50, 56.145766 }, //21 September 1988, UT1-UTC= 0.0382336, Accumulated Leap Seconds=24 + { 2447426.50, 56.146796 }, //22 September 1988, UT1-UTC= 0.0372042, Accumulated Leap Seconds=24 + { 2447427.50, 56.148170 }, //23 September 1988, UT1-UTC= 0.0358299, Accumulated Leap Seconds=24 + { 2447428.50, 56.149893 }, //24 September 1988, UT1-UTC= 0.0341065, Accumulated Leap Seconds=24 + { 2447429.50, 56.151881 }, //25 September 1988, UT1-UTC= 0.0321194, Accumulated Leap Seconds=24 + { 2447430.50, 56.153970 }, //26 September 1988, UT1-UTC= 0.0300301, Accumulated Leap Seconds=24 + { 2447431.50, 56.155964 }, //27 September 1988, UT1-UTC= 0.0280358, Accumulated Leap Seconds=24 + { 2447432.50, 56.157701 }, //28 September 1988, UT1-UTC= 0.0262990, Accumulated Leap Seconds=24 + { 2447433.50, 56.159106 }, //29 September 1988, UT1-UTC= 0.0248943, Accumulated Leap Seconds=24 + { 2447434.50, 56.160202 }, //30 September 1988, UT1-UTC= 0.0237979, Accumulated Leap Seconds=24 + { 2447435.50, 56.161084 }, //01 October 1988, UT1-UTC= 0.0229161, Accumulated Leap Seconds=24 + { 2447436.50, 56.161871 }, //02 October 1988, UT1-UTC= 0.0221288, Accumulated Leap Seconds=24 + { 2447437.50, 56.162679 }, //03 October 1988, UT1-UTC= 0.0213207, Accumulated Leap Seconds=24 + { 2447438.50, 56.163604 }, //04 October 1988, UT1-UTC= 0.0203962, Accumulated Leap Seconds=24 + { 2447439.50, 56.164709 }, //05 October 1988, UT1-UTC= 0.0192910, Accumulated Leap Seconds=24 + { 2447440.50, 56.166030 }, //06 October 1988, UT1-UTC= 0.0179704, Accumulated Leap Seconds=24 + { 2447441.50, 56.167561 }, //07 October 1988, UT1-UTC= 0.0164394, Accumulated Leap Seconds=24 + { 2447442.50, 56.169267 }, //08 October 1988, UT1-UTC= 0.0147330, Accumulated Leap Seconds=24 + { 2447443.50, 56.171096 }, //09 October 1988, UT1-UTC= 0.0129039, Accumulated Leap Seconds=24 + { 2447444.50, 56.172980 }, //10 October 1988, UT1-UTC= 0.0110195, Accumulated Leap Seconds=24 + { 2447445.50, 56.174847 }, //11 October 1988, UT1-UTC= 0.0091531, Accumulated Leap Seconds=24 + { 2447446.50, 56.176621 }, //12 October 1988, UT1-UTC= 0.0073790, Accumulated Leap Seconds=24 + { 2447447.50, 56.178242 }, //13 October 1988, UT1-UTC= 0.0057583, Accumulated Leap Seconds=24 + { 2447448.50, 56.179676 }, //14 October 1988, UT1-UTC= 0.0043242, Accumulated Leap Seconds=24 + { 2447449.50, 56.180925 }, //15 October 1988, UT1-UTC= 0.0030754, Accumulated Leap Seconds=24 + { 2447450.50, 56.182030 }, //16 October 1988, UT1-UTC= 0.0019703, Accumulated Leap Seconds=24 + { 2447451.50, 56.183075 }, //17 October 1988, UT1-UTC= 0.0009247, Accumulated Leap Seconds=24 + { 2447452.50, 56.184175 }, //18 October 1988, UT1-UTC=-0.0001748, Accumulated Leap Seconds=24 + { 2447453.50, 56.185447 }, //19 October 1988, UT1-UTC=-0.0014468, Accumulated Leap Seconds=24 + { 2447454.50, 56.186990 }, //20 October 1988, UT1-UTC=-0.0029904, Accumulated Leap Seconds=24 + { 2447455.50, 56.188857 }, //21 October 1988, UT1-UTC=-0.0048569, Accumulated Leap Seconds=24 + { 2447456.50, 56.191010 }, //22 October 1988, UT1-UTC=-0.0070096, Accumulated Leap Seconds=24 + { 2447457.50, 56.193326 }, //23 October 1988, UT1-UTC=-0.0093265, Accumulated Leap Seconds=24 + { 2447458.50, 56.195634 }, //24 October 1988, UT1-UTC=-0.0116338, Accumulated Leap Seconds=24 + { 2447459.50, 56.197755 }, //25 October 1988, UT1-UTC=-0.0137554, Accumulated Leap Seconds=24 + { 2447460.50, 56.199572 }, //26 October 1988, UT1-UTC=-0.0155717, Accumulated Leap Seconds=24 + { 2447461.50, 56.201059 }, //27 October 1988, UT1-UTC=-0.0170590, Accumulated Leap Seconds=24 + { 2447462.50, 56.202280 }, //28 October 1988, UT1-UTC=-0.0182804, Accumulated Leap Seconds=24 + { 2447463.50, 56.203353 }, //29 October 1988, UT1-UTC=-0.0193532, Accumulated Leap Seconds=24 + { 2447464.50, 56.204406 }, //30 October 1988, UT1-UTC=-0.0204058, Accumulated Leap Seconds=24 + { 2447465.50, 56.205545 }, //31 October 1988, UT1-UTC=-0.0215455, Accumulated Leap Seconds=24 + { 2447466.50, 56.206843 }, //01 November 1988, UT1-UTC=-0.0228432, Accumulated Leap Seconds=24 + { 2447467.50, 56.208331 }, //02 November 1988, UT1-UTC=-0.0243307, Accumulated Leap Seconds=24 + { 2447468.50, 56.210010 }, //03 November 1988, UT1-UTC=-0.0260098, Accumulated Leap Seconds=24 + { 2447469.50, 56.211859 }, //04 November 1988, UT1-UTC=-0.0278594, Accumulated Leap Seconds=24 + { 2447470.50, 56.213838 }, //05 November 1988, UT1-UTC=-0.0298382, Accumulated Leap Seconds=24 + { 2447471.50, 56.215880 }, //06 November 1988, UT1-UTC=-0.0318800, Accumulated Leap Seconds=24 + { 2447472.50, 56.217901 }, //07 November 1988, UT1-UTC=-0.0339009, Accumulated Leap Seconds=24 + { 2447473.50, 56.219823 }, //08 November 1988, UT1-UTC=-0.0358233, Accumulated Leap Seconds=24 + { 2447474.50, 56.221600 }, //09 November 1988, UT1-UTC=-0.0376000, Accumulated Leap Seconds=24 + { 2447475.50, 56.223209 }, //10 November 1988, UT1-UTC=-0.0392095, Accumulated Leap Seconds=24 + { 2447476.50, 56.224646 }, //11 November 1988, UT1-UTC=-0.0406457, Accumulated Leap Seconds=24 + { 2447477.50, 56.225932 }, //12 November 1988, UT1-UTC=-0.0419323, Accumulated Leap Seconds=24 + { 2447478.50, 56.227146 }, //13 November 1988, UT1-UTC=-0.0431459, Accumulated Leap Seconds=24 + { 2447479.50, 56.228395 }, //14 November 1988, UT1-UTC=-0.0443952, Accumulated Leap Seconds=24 + { 2447480.50, 56.229796 }, //15 November 1988, UT1-UTC=-0.0457959, Accumulated Leap Seconds=24 + { 2447481.50, 56.231443 }, //16 November 1988, UT1-UTC=-0.0474426, Accumulated Leap Seconds=24 + { 2447482.50, 56.233383 }, //17 November 1988, UT1-UTC=-0.0493834, Accumulated Leap Seconds=24 + { 2447483.50, 56.235600 }, //18 November 1988, UT1-UTC=-0.0516004, Accumulated Leap Seconds=24 + { 2447484.50, 56.238005 }, //19 November 1988, UT1-UTC=-0.0540051, Accumulated Leap Seconds=24 + { 2447485.50, 56.240458 }, //20 November 1988, UT1-UTC=-0.0564582, Accumulated Leap Seconds=24 + { 2447486.50, 56.242803 }, //21 November 1988, UT1-UTC=-0.0588033, Accumulated Leap Seconds=24 + { 2447487.50, 56.244912 }, //22 November 1988, UT1-UTC=-0.0609119, Accumulated Leap Seconds=24 + { 2447488.50, 56.246717 }, //23 November 1988, UT1-UTC=-0.0627171, Accumulated Leap Seconds=24 + { 2447489.50, 56.248230 }, //24 November 1988, UT1-UTC=-0.0642305, Accumulated Leap Seconds=24 + { 2447490.50, 56.249531 }, //25 November 1988, UT1-UTC=-0.0655306, Accumulated Leap Seconds=24 + { 2447491.50, 56.250736 }, //26 November 1988, UT1-UTC=-0.0667364, Accumulated Leap Seconds=24 + { 2447492.50, 56.251965 }, //27 November 1988, UT1-UTC=-0.0679649, Accumulated Leap Seconds=24 + { 2447493.50, 56.253302 }, //28 November 1988, UT1-UTC=-0.0693018, Accumulated Leap Seconds=24 + { 2447494.50, 56.254792 }, //29 November 1988, UT1-UTC=-0.0707922, Accumulated Leap Seconds=24 + { 2447495.50, 56.256446 }, //30 November 1988, UT1-UTC=-0.0724465, Accumulated Leap Seconds=24 + { 2447496.50, 56.258250 }, //01 December 1988, UT1-UTC=-0.0742503, Accumulated Leap Seconds=24 + { 2447497.50, 56.260160 }, //02 December 1988, UT1-UTC=-0.0761600, Accumulated Leap Seconds=24 + { 2447498.50, 56.262113 }, //03 December 1988, UT1-UTC=-0.0781131, Accumulated Leap Seconds=24 + { 2447499.50, 56.264037 }, //04 December 1988, UT1-UTC=-0.0800369, Accumulated Leap Seconds=24 + { 2447500.50, 56.265860 }, //05 December 1988, UT1-UTC=-0.0818602, Accumulated Leap Seconds=24 + { 2447501.50, 56.267529 }, //06 December 1988, UT1-UTC=-0.0835287, Accumulated Leap Seconds=24 + { 2447502.50, 56.269007 }, //07 December 1988, UT1-UTC=-0.0850071, Accumulated Leap Seconds=24 + { 2447503.50, 56.270288 }, //08 December 1988, UT1-UTC=-0.0862881, Accumulated Leap Seconds=24 + { 2447504.50, 56.271402 }, //09 December 1988, UT1-UTC=-0.0874021, Accumulated Leap Seconds=24 + { 2447505.50, 56.272417 }, //10 December 1988, UT1-UTC=-0.0884172, Accumulated Leap Seconds=24 + { 2447506.50, 56.273414 }, //11 December 1988, UT1-UTC=-0.0894141, Accumulated Leap Seconds=24 + { 2447507.50, 56.274482 }, //12 December 1988, UT1-UTC=-0.0904824, Accumulated Leap Seconds=24 + { 2447508.50, 56.275722 }, //13 December 1988, UT1-UTC=-0.0917216, Accumulated Leap Seconds=24 + { 2447509.50, 56.277191 }, //14 December 1988, UT1-UTC=-0.0931914, Accumulated Leap Seconds=24 + { 2447510.50, 56.278889 }, //15 December 1988, UT1-UTC=-0.0948885, Accumulated Leap Seconds=24 + { 2447511.50, 56.280744 }, //16 December 1988, UT1-UTC=-0.0967439, Accumulated Leap Seconds=24 + { 2447512.50, 56.282633 }, //17 December 1988, UT1-UTC=-0.0986328, Accumulated Leap Seconds=24 + { 2447513.50, 56.284416 }, //18 December 1988, UT1-UTC=-0.1004165, Accumulated Leap Seconds=24 + { 2447514.50, 56.285978 }, //19 December 1988, UT1-UTC=-0.1019779, Accumulated Leap Seconds=24 + { 2447515.50, 56.287249 }, //20 December 1988, UT1-UTC=-0.1032494, Accumulated Leap Seconds=24 + { 2447516.50, 56.288236 }, //21 December 1988, UT1-UTC=-0.1042362, Accumulated Leap Seconds=24 + { 2447517.50, 56.289004 }, //22 December 1988, UT1-UTC=-0.1050037, Accumulated Leap Seconds=24 + { 2447518.50, 56.289655 }, //23 December 1988, UT1-UTC=-0.1056551, Accumulated Leap Seconds=24 + { 2447519.50, 56.290302 }, //24 December 1988, UT1-UTC=-0.1063018, Accumulated Leap Seconds=24 + { 2447520.50, 56.291038 }, //25 December 1988, UT1-UTC=-0.1070381, Accumulated Leap Seconds=24 + { 2447521.50, 56.291926 }, //26 December 1988, UT1-UTC=-0.1079260, Accumulated Leap Seconds=24 + { 2447522.50, 56.292989 }, //27 December 1988, UT1-UTC=-0.1089889, Accumulated Leap Seconds=24 + { 2447523.50, 56.294220 }, //28 December 1988, UT1-UTC=-0.1102202, Accumulated Leap Seconds=24 + { 2447524.50, 56.295593 }, //29 December 1988, UT1-UTC=-0.1115932, Accumulated Leap Seconds=24 + { 2447525.50, 56.297064 }, //30 December 1988, UT1-UTC=-0.1130642, Accumulated Leap Seconds=24 + { 2447526.50, 56.298568 }, //31 December 1988, UT1-UTC=-0.1145681, Accumulated Leap Seconds=24 + { 2447527.50, 56.300035 }, //01 January 1989, UT1-UTC=-0.1160349, Accumulated Leap Seconds=24 + { 2447528.50, 56.301405 }, //02 January 1989, UT1-UTC=-0.1174047, Accumulated Leap Seconds=24 + { 2447529.50, 56.302635 }, //03 January 1989, UT1-UTC=-0.1186354, Accumulated Leap Seconds=24 + { 2447530.50, 56.303706 }, //04 January 1989, UT1-UTC=-0.1197061, Accumulated Leap Seconds=24 + { 2447531.50, 56.304618 }, //05 January 1989, UT1-UTC=-0.1206183, Accumulated Leap Seconds=24 + { 2447532.50, 56.305410 }, //06 January 1989, UT1-UTC=-0.1214101, Accumulated Leap Seconds=24 + { 2447533.50, 56.306161 }, //07 January 1989, UT1-UTC=-0.1221614, Accumulated Leap Seconds=24 + { 2447534.50, 56.306980 }, //08 January 1989, UT1-UTC=-0.1229796, Accumulated Leap Seconds=24 + { 2447535.50, 56.307971 }, //09 January 1989, UT1-UTC=-0.1239712, Accumulated Leap Seconds=24 + { 2447536.50, 56.309222 }, //10 January 1989, UT1-UTC=-0.1252219, Accumulated Leap Seconds=24 + { 2447537.50, 56.310751 }, //11 January 1989, UT1-UTC=-0.1267512, Accumulated Leap Seconds=24 + { 2447538.50, 56.312497 }, //12 January 1989, UT1-UTC=-0.1284973, Accumulated Leap Seconds=24 + { 2447539.50, 56.314342 }, //13 January 1989, UT1-UTC=-0.1303419, Accumulated Leap Seconds=24 + { 2447540.50, 56.316146 }, //14 January 1989, UT1-UTC=-0.1321460, Accumulated Leap Seconds=24 + { 2447541.50, 56.317774 }, //15 January 1989, UT1-UTC=-0.1337743, Accumulated Leap Seconds=24 + { 2447542.50, 56.319147 }, //16 January 1989, UT1-UTC=-0.1351474, Accumulated Leap Seconds=24 + { 2447543.50, 56.320254 }, //17 January 1989, UT1-UTC=-0.1362545, Accumulated Leap Seconds=24 + { 2447544.50, 56.321142 }, //18 January 1989, UT1-UTC=-0.1371424, Accumulated Leap Seconds=24 + { 2447545.50, 56.321898 }, //19 January 1989, UT1-UTC=-0.1378982, Accumulated Leap Seconds=24 + { 2447546.50, 56.322634 }, //20 January 1989, UT1-UTC=-0.1386342, Accumulated Leap Seconds=24 + { 2447547.50, 56.323459 }, //21 January 1989, UT1-UTC=-0.1394585, Accumulated Leap Seconds=24 + { 2447548.50, 56.324454 }, //22 January 1989, UT1-UTC=-0.1404543, Accumulated Leap Seconds=24 + { 2447549.50, 56.325670 }, //23 January 1989, UT1-UTC=-0.1416705, Accumulated Leap Seconds=24 + { 2447550.50, 56.327117 }, //24 January 1989, UT1-UTC=-0.1431174, Accumulated Leap Seconds=24 + { 2447551.50, 56.328758 }, //25 January 1989, UT1-UTC=-0.1447585, Accumulated Leap Seconds=24 + { 2447552.50, 56.330527 }, //26 January 1989, UT1-UTC=-0.1465270, Accumulated Leap Seconds=24 + { 2447553.50, 56.332344 }, //27 January 1989, UT1-UTC=-0.1483442, Accumulated Leap Seconds=24 + { 2447554.50, 56.334131 }, //28 January 1989, UT1-UTC=-0.1501307, Accumulated Leap Seconds=24 + { 2447555.50, 56.335816 }, //29 January 1989, UT1-UTC=-0.1518158, Accumulated Leap Seconds=24 + { 2447556.50, 56.337352 }, //30 January 1989, UT1-UTC=-0.1533522, Accumulated Leap Seconds=24 + { 2447557.50, 56.338714 }, //31 January 1989, UT1-UTC=-0.1547139, Accumulated Leap Seconds=24 + { 2447558.50, 56.339902 }, //01 February 1989, UT1-UTC=-0.1559020, Accumulated Leap Seconds=24 + { 2447559.50, 56.340951 }, //02 February 1989, UT1-UTC=-0.1569507, Accumulated Leap Seconds=24 + { 2447560.50, 56.341932 }, //03 February 1989, UT1-UTC=-0.1579319, Accumulated Leap Seconds=24 + { 2447561.50, 56.342955 }, //04 February 1989, UT1-UTC=-0.1589547, Accumulated Leap Seconds=24 + { 2447562.50, 56.344150 }, //05 February 1989, UT1-UTC=-0.1601504, Accumulated Leap Seconds=24 + { 2447563.50, 56.345629 }, //06 February 1989, UT1-UTC=-0.1616292, Accumulated Leap Seconds=24 + { 2447564.50, 56.347440 }, //07 February 1989, UT1-UTC=-0.1634401, Accumulated Leap Seconds=24 + { 2447565.50, 56.349544 }, //08 February 1989, UT1-UTC=-0.1655440, Accumulated Leap Seconds=24 + { 2447566.50, 56.351814 }, //09 February 1989, UT1-UTC=-0.1678139, Accumulated Leap Seconds=24 + { 2447567.50, 56.354063 }, //10 February 1989, UT1-UTC=-0.1700631, Accumulated Leap Seconds=24 + { 2447568.50, 56.356116 }, //11 February 1989, UT1-UTC=-0.1721158, Accumulated Leap Seconds=24 + { 2447569.50, 56.357857 }, //12 February 1989, UT1-UTC=-0.1738568, Accumulated Leap Seconds=24 + { 2447570.50, 56.359252 }, //13 February 1989, UT1-UTC=-0.1752522, Accumulated Leap Seconds=24 + { 2447571.50, 56.360352 }, //14 February 1989, UT1-UTC=-0.1763520, Accumulated Leap Seconds=24 + { 2447572.50, 56.361254 }, //15 February 1989, UT1-UTC=-0.1772543, Accumulated Leap Seconds=24 + { 2447573.50, 56.362070 }, //16 February 1989, UT1-UTC=-0.1780702, Accumulated Leap Seconds=24 + { 2447574.50, 56.362900 }, //17 February 1989, UT1-UTC=-0.1788996, Accumulated Leap Seconds=24 + { 2447575.50, 56.363822 }, //18 February 1989, UT1-UTC=-0.1798216, Accumulated Leap Seconds=24 + { 2447576.50, 56.364901 }, //19 February 1989, UT1-UTC=-0.1809010, Accumulated Leap Seconds=24 + { 2447577.50, 56.366164 }, //20 February 1989, UT1-UTC=-0.1821639, Accumulated Leap Seconds=24 + { 2447578.50, 56.367603 }, //21 February 1989, UT1-UTC=-0.1836029, Accumulated Leap Seconds=24 + { 2447579.50, 56.369178 }, //22 February 1989, UT1-UTC=-0.1851780, Accumulated Leap Seconds=24 + { 2447580.50, 56.370818 }, //23 February 1989, UT1-UTC=-0.1868181, Accumulated Leap Seconds=24 + { 2447581.50, 56.372454 }, //24 February 1989, UT1-UTC=-0.1884540, Accumulated Leap Seconds=24 + { 2447582.50, 56.374024 }, //25 February 1989, UT1-UTC=-0.1900241, Accumulated Leap Seconds=24 + { 2447583.50, 56.375481 }, //26 February 1989, UT1-UTC=-0.1914809, Accumulated Leap Seconds=24 + { 2447584.50, 56.376796 }, //27 February 1989, UT1-UTC=-0.1927958, Accumulated Leap Seconds=24 + { 2447585.50, 56.377962 }, //28 February 1989, UT1-UTC=-0.1939620, Accumulated Leap Seconds=24 + { 2447586.50, 56.378999 }, //01 March 1989, UT1-UTC=-0.1949995, Accumulated Leap Seconds=24 + { 2447587.50, 56.379963 }, //02 March 1989, UT1-UTC=-0.1959628, Accumulated Leap Seconds=24 + { 2447588.50, 56.380944 }, //03 March 1989, UT1-UTC=-0.1969440, Accumulated Leap Seconds=24 + { 2447589.50, 56.382063 }, //04 March 1989, UT1-UTC=-0.1980628, Accumulated Leap Seconds=24 + { 2447590.50, 56.383442 }, //05 March 1989, UT1-UTC=-0.1994421, Accumulated Leap Seconds=24 + { 2447591.50, 56.385175 }, //06 March 1989, UT1-UTC=-0.2011754, Accumulated Leap Seconds=24 + { 2447592.50, 56.387276 }, //07 March 1989, UT1-UTC=-0.2032762, Accumulated Leap Seconds=24 + { 2447593.50, 56.389662 }, //08 March 1989, UT1-UTC=-0.2056620, Accumulated Leap Seconds=24 + { 2447594.50, 56.392177 }, //09 March 1989, UT1-UTC=-0.2081766, Accumulated Leap Seconds=24 + { 2447595.50, 56.394637 }, //10 March 1989, UT1-UTC=-0.2106368, Accumulated Leap Seconds=24 + { 2447596.50, 56.396872 }, //11 March 1989, UT1-UTC=-0.2128720, Accumulated Leap Seconds=24 + { 2447597.50, 56.398786 }, //12 March 1989, UT1-UTC=-0.2147857, Accumulated Leap Seconds=24 + { 2447598.50, 56.400376 }, //13 March 1989, UT1-UTC=-0.2163757, Accumulated Leap Seconds=24 + { 2447599.50, 56.401708 }, //14 March 1989, UT1-UTC=-0.2177083, Accumulated Leap Seconds=24 + { 2447600.50, 56.402885 }, //15 March 1989, UT1-UTC=-0.2188855, Accumulated Leap Seconds=24 + { 2447601.50, 56.404036 }, //16 March 1989, UT1-UTC=-0.2200363, Accumulated Leap Seconds=24 + { 2447602.50, 56.405267 }, //17 March 1989, UT1-UTC=-0.2212672, Accumulated Leap Seconds=24 + { 2447603.50, 56.406647 }, //18 March 1989, UT1-UTC=-0.2226472, Accumulated Leap Seconds=24 + { 2447604.50, 56.408212 }, //19 March 1989, UT1-UTC=-0.2242124, Accumulated Leap Seconds=24 + { 2447605.50, 56.409969 }, //20 March 1989, UT1-UTC=-0.2259687, Accumulated Leap Seconds=24 + { 2447606.50, 56.411875 }, //21 March 1989, UT1-UTC=-0.2278751, Accumulated Leap Seconds=24 + { 2447607.50, 56.413863 }, //22 March 1989, UT1-UTC=-0.2298630, Accumulated Leap Seconds=24 + { 2447608.50, 56.415855 }, //23 March 1989, UT1-UTC=-0.2318548, Accumulated Leap Seconds=24 + { 2447609.50, 56.417773 }, //24 March 1989, UT1-UTC=-0.2337735, Accumulated Leap Seconds=24 + { 2447610.50, 56.419557 }, //25 March 1989, UT1-UTC=-0.2355568, Accumulated Leap Seconds=24 + { 2447611.50, 56.421169 }, //26 March 1989, UT1-UTC=-0.2371691, Accumulated Leap Seconds=24 + { 2447612.50, 56.422600 }, //27 March 1989, UT1-UTC=-0.2385998, Accumulated Leap Seconds=24 + { 2447613.50, 56.423860 }, //28 March 1989, UT1-UTC=-0.2398599, Accumulated Leap Seconds=24 + { 2447614.50, 56.424981 }, //29 March 1989, UT1-UTC=-0.2409806, Accumulated Leap Seconds=24 + { 2447615.50, 56.426021 }, //30 March 1989, UT1-UTC=-0.2420207, Accumulated Leap Seconds=24 + { 2447616.50, 56.427080 }, //31 March 1989, UT1-UTC=-0.2430805, Accumulated Leap Seconds=24 + { 2447617.50, 56.428284 }, //01 April 1989, UT1-UTC=-0.2442839, Accumulated Leap Seconds=24 + { 2447618.50, 56.429740 }, //02 April 1989, UT1-UTC=-0.2457404, Accumulated Leap Seconds=24 + { 2447619.50, 56.431511 }, //03 April 1989, UT1-UTC=-0.2475107, Accumulated Leap Seconds=24 + { 2447620.50, 56.433570 }, //04 April 1989, UT1-UTC=-0.2495702, Accumulated Leap Seconds=24 + { 2447621.50, 56.435799 }, //05 April 1989, UT1-UTC=-0.2517986, Accumulated Leap Seconds=24 + { 2447622.50, 56.438016 }, //06 April 1989, UT1-UTC=-0.2540165, Accumulated Leap Seconds=24 + { 2447623.50, 56.440048 }, //07 April 1989, UT1-UTC=-0.2560478, Accumulated Leap Seconds=24 + { 2447624.50, 56.441780 }, //08 April 1989, UT1-UTC=-0.2577798, Accumulated Leap Seconds=24 + { 2447625.50, 56.443196 }, //09 April 1989, UT1-UTC=-0.2591964, Accumulated Leap Seconds=24 + { 2447626.50, 56.444369 }, //10 April 1989, UT1-UTC=-0.2603694, Accumulated Leap Seconds=24 + { 2447627.50, 56.445423 }, //11 April 1989, UT1-UTC=-0.2614231, Accumulated Leap Seconds=24 + { 2447628.50, 56.446488 }, //12 April 1989, UT1-UTC=-0.2624876, Accumulated Leap Seconds=24 + { 2447629.50, 56.447664 }, //13 April 1989, UT1-UTC=-0.2636642, Accumulated Leap Seconds=24 + { 2447630.50, 56.449013 }, //14 April 1989, UT1-UTC=-0.2650128, Accumulated Leap Seconds=24 + { 2447631.50, 56.450555 }, //15 April 1989, UT1-UTC=-0.2665550, Accumulated Leap Seconds=24 + { 2447632.50, 56.452283 }, //16 April 1989, UT1-UTC=-0.2682829, Accumulated Leap Seconds=24 + { 2447633.50, 56.454166 }, //17 April 1989, UT1-UTC=-0.2701665, Accumulated Leap Seconds=24 + { 2447634.50, 56.456162 }, //18 April 1989, UT1-UTC=-0.2721616, Accumulated Leap Seconds=24 + { 2447635.50, 56.458215 }, //19 April 1989, UT1-UTC=-0.2742155, Accumulated Leap Seconds=24 + { 2447636.50, 56.460272 }, //20 April 1989, UT1-UTC=-0.2762725, Accumulated Leap Seconds=24 + { 2447637.50, 56.462285 }, //21 April 1989, UT1-UTC=-0.2782853, Accumulated Leap Seconds=24 + { 2447638.50, 56.464221 }, //22 April 1989, UT1-UTC=-0.2802210, Accumulated Leap Seconds=24 + { 2447639.50, 56.466055 }, //23 April 1989, UT1-UTC=-0.2820548, Accumulated Leap Seconds=24 + { 2447640.50, 56.467769 }, //24 April 1989, UT1-UTC=-0.2837691, Accumulated Leap Seconds=24 + { 2447641.50, 56.469374 }, //25 April 1989, UT1-UTC=-0.2853743, Accumulated Leap Seconds=24 + { 2447642.50, 56.470913 }, //26 April 1989, UT1-UTC=-0.2869129, Accumulated Leap Seconds=24 + { 2447643.50, 56.472464 }, //27 April 1989, UT1-UTC=-0.2884636, Accumulated Leap Seconds=24 + { 2447644.50, 56.474118 }, //28 April 1989, UT1-UTC=-0.2901180, Accumulated Leap Seconds=24 + { 2447645.50, 56.475960 }, //29 April 1989, UT1-UTC=-0.2919599, Accumulated Leap Seconds=24 + { 2447646.50, 56.478051 }, //30 April 1989, UT1-UTC=-0.2940507, Accumulated Leap Seconds=24 + { 2447647.50, 56.480395 }, //01 May 1989, UT1-UTC=-0.2963947, Accumulated Leap Seconds=24 + { 2447648.50, 56.482919 }, //02 May 1989, UT1-UTC=-0.2989186, Accumulated Leap Seconds=24 + { 2447649.50, 56.485482 }, //03 May 1989, UT1-UTC=-0.3014823, Accumulated Leap Seconds=24 + { 2447650.50, 56.487918 }, //04 May 1989, UT1-UTC=-0.3039179, Accumulated Leap Seconds=24 + { 2447651.50, 56.490081 }, //05 May 1989, UT1-UTC=-0.3060813, Accumulated Leap Seconds=24 + { 2447652.50, 56.491903 }, //06 May 1989, UT1-UTC=-0.3079029, Accumulated Leap Seconds=24 + { 2447653.50, 56.493408 }, //07 May 1989, UT1-UTC=-0.3094084, Accumulated Leap Seconds=24 + { 2447654.50, 56.494700 }, //08 May 1989, UT1-UTC=-0.3106996, Accumulated Leap Seconds=24 + { 2447655.50, 56.495912 }, //09 May 1989, UT1-UTC=-0.3119116, Accumulated Leap Seconds=24 + { 2447656.50, 56.497167 }, //10 May 1989, UT1-UTC=-0.3131666, Accumulated Leap Seconds=24 + { 2447657.50, 56.498544 }, //11 May 1989, UT1-UTC=-0.3145445, Accumulated Leap Seconds=24 + { 2447658.50, 56.500078 }, //12 May 1989, UT1-UTC=-0.3160782, Accumulated Leap Seconds=24 + { 2447659.50, 56.501762 }, //13 May 1989, UT1-UTC=-0.3177621, Accumulated Leap Seconds=24 + { 2447660.50, 56.503565 }, //14 May 1989, UT1-UTC=-0.3195647, Accumulated Leap Seconds=24 + { 2447661.50, 56.505436 }, //15 May 1989, UT1-UTC=-0.3214363, Accumulated Leap Seconds=24 + { 2447662.50, 56.507320 }, //16 May 1989, UT1-UTC=-0.3233196, Accumulated Leap Seconds=24 + { 2447663.50, 56.509157 }, //17 May 1989, UT1-UTC=-0.3251571, Accumulated Leap Seconds=24 + { 2447664.50, 56.510901 }, //18 May 1989, UT1-UTC=-0.3269014, Accumulated Leap Seconds=24 + { 2447665.50, 56.512519 }, //19 May 1989, UT1-UTC=-0.3285192, Accumulated Leap Seconds=24 + { 2447666.50, 56.513994 }, //20 May 1989, UT1-UTC=-0.3299942, Accumulated Leap Seconds=24 + { 2447667.50, 56.515337 }, //21 May 1989, UT1-UTC=-0.3313368, Accumulated Leap Seconds=24 + { 2447668.50, 56.516583 }, //22 May 1989, UT1-UTC=-0.3325832, Accumulated Leap Seconds=24 + { 2447669.50, 56.517795 }, //23 May 1989, UT1-UTC=-0.3337945, Accumulated Leap Seconds=24 + { 2447670.50, 56.519051 }, //24 May 1989, UT1-UTC=-0.3350515, Accumulated Leap Seconds=24 + { 2447671.50, 56.520438 }, //25 May 1989, UT1-UTC=-0.3364376, Accumulated Leap Seconds=24 + { 2447672.50, 56.522028 }, //26 May 1989, UT1-UTC=-0.3380276, Accumulated Leap Seconds=24 + { 2447673.50, 56.523876 }, //27 May 1989, UT1-UTC=-0.3398757, Accumulated Leap Seconds=24 + { 2447674.50, 56.525988 }, //28 May 1989, UT1-UTC=-0.3419885, Accumulated Leap Seconds=24 + { 2447675.50, 56.528311 }, //29 May 1989, UT1-UTC=-0.3443113, Accumulated Leap Seconds=24 + { 2447676.50, 56.530727 }, //30 May 1989, UT1-UTC=-0.3467271, Accumulated Leap Seconds=24 + { 2447677.50, 56.533080 }, //31 May 1989, UT1-UTC=-0.3490799, Accumulated Leap Seconds=24 + { 2447678.50, 56.535216 }, //01 June 1989, UT1-UTC=-0.3512164, Accumulated Leap Seconds=24 + { 2447679.50, 56.537029 }, //02 June 1989, UT1-UTC=-0.3530292, Accumulated Leap Seconds=24 + { 2447680.50, 56.538488 }, //03 June 1989, UT1-UTC=-0.3544885, Accumulated Leap Seconds=24 + { 2447681.50, 56.539648 }, //04 June 1989, UT1-UTC=-0.3556479, Accumulated Leap Seconds=24 + { 2447682.50, 56.540620 }, //05 June 1989, UT1-UTC=-0.3566198, Accumulated Leap Seconds=24 + { 2447683.50, 56.541541 }, //06 June 1989, UT1-UTC=-0.3575406, Accumulated Leap Seconds=24 + { 2447684.50, 56.542532 }, //07 June 1989, UT1-UTC=-0.3585321, Accumulated Leap Seconds=24 + { 2447685.50, 56.543668 }, //08 June 1989, UT1-UTC=-0.3596685, Accumulated Leap Seconds=24 + { 2447686.50, 56.544966 }, //09 June 1989, UT1-UTC=-0.3609657, Accumulated Leap Seconds=24 + { 2447687.50, 56.546401 }, //10 June 1989, UT1-UTC=-0.3624006, Accumulated Leap Seconds=24 + { 2447688.50, 56.547925 }, //11 June 1989, UT1-UTC=-0.3639254, Accumulated Leap Seconds=24 + { 2447689.50, 56.549480 }, //12 June 1989, UT1-UTC=-0.3654801, Accumulated Leap Seconds=24 + { 2447690.50, 56.550991 }, //13 June 1989, UT1-UTC=-0.3669911, Accumulated Leap Seconds=24 + { 2447691.50, 56.552395 }, //14 June 1989, UT1-UTC=-0.3683952, Accumulated Leap Seconds=24 + { 2447692.50, 56.553643 }, //15 June 1989, UT1-UTC=-0.3696435, Accumulated Leap Seconds=24 + { 2447693.50, 56.554705 }, //16 June 1989, UT1-UTC=-0.3707053, Accumulated Leap Seconds=24 + { 2447694.50, 56.555574 }, //17 June 1989, UT1-UTC=-0.3715743, Accumulated Leap Seconds=24 + { 2447695.50, 56.556274 }, //18 June 1989, UT1-UTC=-0.3722738, Accumulated Leap Seconds=24 + { 2447696.50, 56.556866 }, //19 June 1989, UT1-UTC=-0.3728655, Accumulated Leap Seconds=24 + { 2447697.50, 56.557441 }, //20 June 1989, UT1-UTC=-0.3734413, Accumulated Leap Seconds=24 + { 2447698.50, 56.558107 }, //21 June 1989, UT1-UTC=-0.3741075, Accumulated Leap Seconds=24 + { 2447699.50, 56.558963 }, //22 June 1989, UT1-UTC=-0.3749631, Accumulated Leap Seconds=24 + { 2447700.50, 56.560071 }, //23 June 1989, UT1-UTC=-0.3760711, Accumulated Leap Seconds=24 + { 2447701.50, 56.561429 }, //24 June 1989, UT1-UTC=-0.3774292, Accumulated Leap Seconds=24 + { 2447702.50, 56.562974 }, //25 June 1989, UT1-UTC=-0.3789744, Accumulated Leap Seconds=24 + { 2447703.50, 56.564594 }, //26 June 1989, UT1-UTC=-0.3805941, Accumulated Leap Seconds=24 + { 2447704.50, 56.566146 }, //27 June 1989, UT1-UTC=-0.3821463, Accumulated Leap Seconds=24 + { 2447705.50, 56.567493 }, //28 June 1989, UT1-UTC=-0.3834928, Accumulated Leap Seconds=24 + { 2447706.50, 56.568546 }, //29 June 1989, UT1-UTC=-0.3845465, Accumulated Leap Seconds=24 + { 2447707.50, 56.569283 }, //30 June 1989, UT1-UTC=-0.3852834, Accumulated Leap Seconds=24 + { 2447708.50, 56.569749 }, //01 July 1989, UT1-UTC=-0.3857487, Accumulated Leap Seconds=24 + { 2447709.50, 56.570045 }, //02 July 1989, UT1-UTC=-0.3860450, Accumulated Leap Seconds=24 + { 2447710.50, 56.570301 }, //03 July 1989, UT1-UTC=-0.3863009, Accumulated Leap Seconds=24 + { 2447711.50, 56.570642 }, //04 July 1989, UT1-UTC=-0.3866416, Accumulated Leap Seconds=24 + { 2447712.50, 56.571155 }, //05 July 1989, UT1-UTC=-0.3871546, Accumulated Leap Seconds=24 + { 2447713.50, 56.571875 }, //06 July 1989, UT1-UTC=-0.3878747, Accumulated Leap Seconds=24 + { 2447714.50, 56.572791 }, //07 July 1989, UT1-UTC=-0.3887914, Accumulated Leap Seconds=24 + { 2447715.50, 56.573860 }, //08 July 1989, UT1-UTC=-0.3898604, Accumulated Leap Seconds=24 + { 2447716.50, 56.575015 }, //09 July 1989, UT1-UTC=-0.3910151, Accumulated Leap Seconds=24 + { 2447717.50, 56.576176 }, //10 July 1989, UT1-UTC=-0.3921757, Accumulated Leap Seconds=24 + { 2447718.50, 56.577272 }, //11 July 1989, UT1-UTC=-0.3932722, Accumulated Leap Seconds=24 + { 2447719.50, 56.578267 }, //12 July 1989, UT1-UTC=-0.3942669, Accumulated Leap Seconds=24 + { 2447720.50, 56.579142 }, //13 July 1989, UT1-UTC=-0.3951416, Accumulated Leap Seconds=24 + { 2447721.50, 56.579901 }, //14 July 1989, UT1-UTC=-0.3959008, Accumulated Leap Seconds=24 + { 2447722.50, 56.580576 }, //15 July 1989, UT1-UTC=-0.3965763, Accumulated Leap Seconds=24 + { 2447723.50, 56.581213 }, //16 July 1989, UT1-UTC=-0.3972135, Accumulated Leap Seconds=24 + { 2447724.50, 56.581863 }, //17 July 1989, UT1-UTC=-0.3978628, Accumulated Leap Seconds=24 + { 2447725.50, 56.582590 }, //18 July 1989, UT1-UTC=-0.3985897, Accumulated Leap Seconds=24 + { 2447726.50, 56.583486 }, //19 July 1989, UT1-UTC=-0.3994865, Accumulated Leap Seconds=24 + { 2447727.50, 56.584631 }, //20 July 1989, UT1-UTC=-0.4006310, Accumulated Leap Seconds=24 + { 2447728.50, 56.586054 }, //21 July 1989, UT1-UTC=-0.4020545, Accumulated Leap Seconds=24 + { 2447729.50, 56.587720 }, //22 July 1989, UT1-UTC=-0.4037197, Accumulated Leap Seconds=24 + { 2447730.50, 56.589521 }, //23 July 1989, UT1-UTC=-0.4055208, Accumulated Leap Seconds=24 + { 2447731.50, 56.591299 }, //24 July 1989, UT1-UTC=-0.4072988, Accumulated Leap Seconds=24 + { 2447732.50, 56.592902 }, //25 July 1989, UT1-UTC=-0.4089021, Accumulated Leap Seconds=24 + { 2447733.50, 56.594240 }, //26 July 1989, UT1-UTC=-0.4102402, Accumulated Leap Seconds=24 + { 2447734.50, 56.595281 }, //27 July 1989, UT1-UTC=-0.4112808, Accumulated Leap Seconds=24 + { 2447735.50, 56.596047 }, //28 July 1989, UT1-UTC=-0.4120472, Accumulated Leap Seconds=24 + { 2447736.50, 56.596626 }, //29 July 1989, UT1-UTC=-0.4126264, Accumulated Leap Seconds=24 + { 2447737.50, 56.597127 }, //30 July 1989, UT1-UTC=-0.4131275, Accumulated Leap Seconds=24 + { 2447738.50, 56.597658 }, //31 July 1989, UT1-UTC=-0.4136584, Accumulated Leap Seconds=24 + { 2447739.50, 56.598310 }, //01 August 1989, UT1-UTC=-0.4143102, Accumulated Leap Seconds=24 + { 2447740.50, 56.599129 }, //02 August 1989, UT1-UTC=-0.4151292, Accumulated Leap Seconds=24 + { 2447741.50, 56.600115 }, //03 August 1989, UT1-UTC=-0.4161154, Accumulated Leap Seconds=24 + { 2447742.50, 56.601233 }, //04 August 1989, UT1-UTC=-0.4172334, Accumulated Leap Seconds=24 + { 2447743.50, 56.602430 }, //05 August 1989, UT1-UTC=-0.4184299, Accumulated Leap Seconds=24 + { 2447744.50, 56.603643 }, //06 August 1989, UT1-UTC=-0.4196426, Accumulated Leap Seconds=24 + { 2447745.50, 56.604817 }, //07 August 1989, UT1-UTC=-0.4208167, Accumulated Leap Seconds=24 + { 2447746.50, 56.605902 }, //08 August 1989, UT1-UTC=-0.4219023, Accumulated Leap Seconds=24 + { 2447747.50, 56.606863 }, //09 August 1989, UT1-UTC=-0.4228632, Accumulated Leap Seconds=24 + { 2447748.50, 56.607693 }, //10 August 1989, UT1-UTC=-0.4236929, Accumulated Leap Seconds=24 + { 2447749.50, 56.608402 }, //11 August 1989, UT1-UTC=-0.4244021, Accumulated Leap Seconds=24 + { 2447750.50, 56.609014 }, //12 August 1989, UT1-UTC=-0.4250144, Accumulated Leap Seconds=24 + { 2447751.50, 56.609595 }, //13 August 1989, UT1-UTC=-0.4255955, Accumulated Leap Seconds=24 + { 2447752.50, 56.610242 }, //14 August 1989, UT1-UTC=-0.4262419, Accumulated Leap Seconds=24 + { 2447753.50, 56.611064 }, //15 August 1989, UT1-UTC=-0.4270639, Accumulated Leap Seconds=24 + { 2447754.50, 56.612160 }, //16 August 1989, UT1-UTC=-0.4281600, Accumulated Leap Seconds=24 + { 2447755.50, 56.613584 }, //17 August 1989, UT1-UTC=-0.4295845, Accumulated Leap Seconds=24 + { 2447756.50, 56.615326 }, //18 August 1989, UT1-UTC=-0.4313258, Accumulated Leap Seconds=24 + { 2447757.50, 56.617293 }, //19 August 1989, UT1-UTC=-0.4332933, Accumulated Leap Seconds=24 + { 2447758.50, 56.619322 }, //20 August 1989, UT1-UTC=-0.4353218, Accumulated Leap Seconds=24 + { 2447759.50, 56.621229 }, //21 August 1989, UT1-UTC=-0.4372287, Accumulated Leap Seconds=24 + { 2447760.50, 56.622871 }, //22 August 1989, UT1-UTC=-0.4388712, Accumulated Leap Seconds=24 + { 2447761.50, 56.624185 }, //23 August 1989, UT1-UTC=-0.4401855, Accumulated Leap Seconds=24 + { 2447762.50, 56.625193 }, //24 August 1989, UT1-UTC=-0.4411928, Accumulated Leap Seconds=24 + { 2447763.50, 56.625976 }, //25 August 1989, UT1-UTC=-0.4419764, Accumulated Leap Seconds=24 + { 2447764.50, 56.626647 }, //26 August 1989, UT1-UTC=-0.4426466, Accumulated Leap Seconds=24 + { 2447765.50, 56.627312 }, //27 August 1989, UT1-UTC=-0.4433117, Accumulated Leap Seconds=24 + { 2447766.50, 56.628072 }, //28 August 1989, UT1-UTC=-0.4440718, Accumulated Leap Seconds=24 + { 2447767.50, 56.628997 }, //29 August 1989, UT1-UTC=-0.4449967, Accumulated Leap Seconds=24 + { 2447768.50, 56.630114 }, //30 August 1989, UT1-UTC=-0.4461135, Accumulated Leap Seconds=24 + { 2447769.50, 56.631409 }, //31 August 1989, UT1-UTC=-0.4474090, Accumulated Leap Seconds=24 + { 2447770.50, 56.632833 }, //01 September 1989, UT1-UTC=-0.4488326, Accumulated Leap Seconds=24 + { 2447771.50, 56.634310 }, //02 September 1989, UT1-UTC=-0.4503104, Accumulated Leap Seconds=24 + { 2447772.50, 56.635759 }, //03 September 1989, UT1-UTC=-0.4517592, Accumulated Leap Seconds=24 + { 2447773.50, 56.637103 }, //04 September 1989, UT1-UTC=-0.4531034, Accumulated Leap Seconds=24 + { 2447774.50, 56.638286 }, //05 September 1989, UT1-UTC=-0.4542861, Accumulated Leap Seconds=24 + { 2447775.50, 56.639279 }, //06 September 1989, UT1-UTC=-0.4552793, Accumulated Leap Seconds=24 + { 2447776.50, 56.640099 }, //07 September 1989, UT1-UTC=-0.4560988, Accumulated Leap Seconds=24 + { 2447777.50, 56.640791 }, //08 September 1989, UT1-UTC=-0.4567912, Accumulated Leap Seconds=24 + { 2447778.50, 56.641424 }, //09 September 1989, UT1-UTC=-0.4574237, Accumulated Leap Seconds=24 + { 2447779.50, 56.642076 }, //10 September 1989, UT1-UTC=-0.4580759, Accumulated Leap Seconds=24 + { 2447780.50, 56.642841 }, //11 September 1989, UT1-UTC=-0.4588413, Accumulated Leap Seconds=24 + { 2447781.50, 56.643814 }, //12 September 1989, UT1-UTC=-0.4598142, Accumulated Leap Seconds=24 + { 2447782.50, 56.645086 }, //13 September 1989, UT1-UTC=-0.4610861, Accumulated Leap Seconds=24 + { 2447783.50, 56.646701 }, //14 September 1989, UT1-UTC=-0.4627008, Accumulated Leap Seconds=24 + { 2447784.50, 56.648626 }, //15 September 1989, UT1-UTC=-0.4646257, Accumulated Leap Seconds=24 + { 2447785.50, 56.650749 }, //16 September 1989, UT1-UTC=-0.4667494, Accumulated Leap Seconds=24 + { 2447786.50, 56.652894 }, //17 September 1989, UT1-UTC=-0.4688936, Accumulated Leap Seconds=24 + { 2447787.50, 56.654880 }, //18 September 1989, UT1-UTC=-0.4708799, Accumulated Leap Seconds=24 + { 2447788.50, 56.656588 }, //19 September 1989, UT1-UTC=-0.4725877, Accumulated Leap Seconds=24 + { 2447789.50, 56.657986 }, //20 September 1989, UT1-UTC=-0.4739864, Accumulated Leap Seconds=24 + { 2447790.50, 56.659135 }, //21 September 1989, UT1-UTC=-0.4751349, Accumulated Leap Seconds=24 + { 2447791.50, 56.660149 }, //22 September 1989, UT1-UTC=-0.4761491, Accumulated Leap Seconds=24 + { 2447792.50, 56.661158 }, //23 September 1989, UT1-UTC=-0.4771580, Accumulated Leap Seconds=24 + { 2447793.50, 56.662266 }, //24 September 1989, UT1-UTC=-0.4782659, Accumulated Leap Seconds=24 + { 2447794.50, 56.663536 }, //25 September 1989, UT1-UTC=-0.4795362, Accumulated Leap Seconds=24 + { 2447795.50, 56.664998 }, //26 September 1989, UT1-UTC=-0.4809976, Accumulated Leap Seconds=24 + { 2447796.50, 56.666641 }, //27 September 1989, UT1-UTC=-0.4826408, Accumulated Leap Seconds=24 + { 2447797.50, 56.668423 }, //28 September 1989, UT1-UTC=-0.4844230, Accumulated Leap Seconds=24 + { 2447798.50, 56.670277 }, //29 September 1989, UT1-UTC=-0.4862767, Accumulated Leap Seconds=24 + { 2447799.50, 56.672122 }, //30 September 1989, UT1-UTC=-0.4881223, Accumulated Leap Seconds=24 + { 2447800.50, 56.673881 }, //01 October 1989, UT1-UTC=-0.4898814, Accumulated Leap Seconds=24 + { 2447801.50, 56.675503 }, //02 October 1989, UT1-UTC=-0.4915025, Accumulated Leap Seconds=24 + { 2447802.50, 56.676966 }, //03 October 1989, UT1-UTC=-0.4929657, Accumulated Leap Seconds=24 + { 2447803.50, 56.678278 }, //04 October 1989, UT1-UTC=-0.4942776, Accumulated Leap Seconds=24 + { 2447804.50, 56.679471 }, //05 October 1989, UT1-UTC=-0.4954708, Accumulated Leap Seconds=24 + { 2447805.50, 56.680601 }, //06 October 1989, UT1-UTC=-0.4966012, Accumulated Leap Seconds=24 + { 2447806.50, 56.681739 }, //07 October 1989, UT1-UTC=-0.4977390, Accumulated Leap Seconds=24 + { 2447807.50, 56.682968 }, //08 October 1989, UT1-UTC=-0.4989679, Accumulated Leap Seconds=24 + { 2447808.50, 56.684376 }, //09 October 1989, UT1-UTC=-0.5003764, Accumulated Leap Seconds=24 + { 2447809.50, 56.686043 }, //10 October 1989, UT1-UTC=-0.5020430, Accumulated Leap Seconds=24 + { 2447810.50, 56.688019 }, //11 October 1989, UT1-UTC=-0.5040190, Accumulated Leap Seconds=24 + { 2447811.50, 56.690309 }, //12 October 1989, UT1-UTC=-0.5063092, Accumulated Leap Seconds=24 + { 2447812.50, 56.692836 }, //13 October 1989, UT1-UTC=-0.5088360, Accumulated Leap Seconds=24 + { 2447813.50, 56.695453 }, //14 October 1989, UT1-UTC=-0.5114535, Accumulated Leap Seconds=24 + { 2447814.50, 56.697988 }, //15 October 1989, UT1-UTC=-0.5139882, Accumulated Leap Seconds=24 + { 2447815.50, 56.700302 }, //16 October 1989, UT1-UTC=-0.5163023, Accumulated Leap Seconds=24 + { 2447816.50, 56.702355 }, //17 October 1989, UT1-UTC=-0.5183552, Accumulated Leap Seconds=24 + { 2447817.50, 56.704181 }, //18 October 1989, UT1-UTC=-0.5201807, Accumulated Leap Seconds=24 + { 2447818.50, 56.705882 }, //19 October 1989, UT1-UTC=-0.5218821, Accumulated Leap Seconds=24 + { 2447819.50, 56.707587 }, //20 October 1989, UT1-UTC=-0.5235875, Accumulated Leap Seconds=24 + { 2447820.50, 56.709397 }, //21 October 1989, UT1-UTC=-0.5253966, Accumulated Leap Seconds=24 + { 2447821.50, 56.711369 }, //22 October 1989, UT1-UTC=-0.5273690, Accumulated Leap Seconds=24 + { 2447822.50, 56.713520 }, //23 October 1989, UT1-UTC=-0.5295201, Accumulated Leap Seconds=24 + { 2447823.50, 56.715824 }, //24 October 1989, UT1-UTC=-0.5318237, Accumulated Leap Seconds=24 + { 2447824.50, 56.718218 }, //25 October 1989, UT1-UTC=-0.5342181, Accumulated Leap Seconds=24 + { 2447825.50, 56.720617 }, //26 October 1989, UT1-UTC=-0.5366175, Accumulated Leap Seconds=24 + { 2447826.50, 56.722973 }, //27 October 1989, UT1-UTC=-0.5389732, Accumulated Leap Seconds=24 + { 2447827.50, 56.725271 }, //28 October 1989, UT1-UTC=-0.5412707, Accumulated Leap Seconds=24 + { 2447828.50, 56.727472 }, //29 October 1989, UT1-UTC=-0.5434715, Accumulated Leap Seconds=24 + { 2447829.50, 56.729535 }, //30 October 1989, UT1-UTC=-0.5455347, Accumulated Leap Seconds=24 + { 2447830.50, 56.731445 }, //31 October 1989, UT1-UTC=-0.5474450, Accumulated Leap Seconds=24 + { 2447831.50, 56.733212 }, //01 November 1989, UT1-UTC=-0.5492116, Accumulated Leap Seconds=24 + { 2447832.50, 56.734862 }, //02 November 1989, UT1-UTC=-0.5508622, Accumulated Leap Seconds=24 + { 2447833.50, 56.736443 }, //03 November 1989, UT1-UTC=-0.5524428, Accumulated Leap Seconds=24 + { 2447834.50, 56.738022 }, //04 November 1989, UT1-UTC=-0.5540217, Accumulated Leap Seconds=24 + { 2447835.50, 56.739688 }, //05 November 1989, UT1-UTC=-0.5556885, Accumulated Leap Seconds=24 + { 2447836.50, 56.741541 }, //06 November 1989, UT1-UTC=-0.5575408, Accumulated Leap Seconds=24 + { 2447837.50, 56.743652 }, //07 November 1989, UT1-UTC=-0.5596524, Accumulated Leap Seconds=24 + { 2447838.50, 56.746048 }, //08 November 1989, UT1-UTC=-0.5620482, Accumulated Leap Seconds=24 + { 2447839.50, 56.748695 }, //09 November 1989, UT1-UTC=-0.5646954, Accumulated Leap Seconds=24 + { 2447840.50, 56.751491 }, //10 November 1989, UT1-UTC=-0.5674907, Accumulated Leap Seconds=24 + { 2447841.50, 56.754270 }, //11 November 1989, UT1-UTC=-0.5702703, Accumulated Leap Seconds=24 + { 2447842.50, 56.756873 }, //12 November 1989, UT1-UTC=-0.5728730, Accumulated Leap Seconds=24 + { 2447843.50, 56.759195 }, //13 November 1989, UT1-UTC=-0.5751947, Accumulated Leap Seconds=24 + { 2447844.50, 56.761222 }, //14 November 1989, UT1-UTC=-0.5772224, Accumulated Leap Seconds=24 + { 2447845.50, 56.763028 }, //15 November 1989, UT1-UTC=-0.5790283, Accumulated Leap Seconds=24 + { 2447846.50, 56.764744 }, //16 November 1989, UT1-UTC=-0.5807437, Accumulated Leap Seconds=24 + { 2447847.50, 56.766505 }, //17 November 1989, UT1-UTC=-0.5825050, Accumulated Leap Seconds=24 + { 2447848.50, 56.768413 }, //18 November 1989, UT1-UTC=-0.5844129, Accumulated Leap Seconds=24 + { 2447849.50, 56.770516 }, //19 November 1989, UT1-UTC=-0.5865157, Accumulated Leap Seconds=24 + { 2447850.50, 56.772808 }, //20 November 1989, UT1-UTC=-0.5888078, Accumulated Leap Seconds=24 + { 2447851.50, 56.775250 }, //21 November 1989, UT1-UTC=-0.5912498, Accumulated Leap Seconds=24 + { 2447852.50, 56.777783 }, //22 November 1989, UT1-UTC=-0.5937826, Accumulated Leap Seconds=24 + { 2447853.50, 56.780343 }, //23 November 1989, UT1-UTC=-0.5963429, Accumulated Leap Seconds=24 + { 2447854.50, 56.782872 }, //24 November 1989, UT1-UTC=-0.5988717, Accumulated Leap Seconds=24 + { 2447855.50, 56.785319 }, //25 November 1989, UT1-UTC=-0.6013194, Accumulated Leap Seconds=24 + { 2447856.50, 56.787633 }, //26 November 1989, UT1-UTC=-0.6036329, Accumulated Leap Seconds=24 + { 2447857.50, 56.789773 }, //27 November 1989, UT1-UTC=-0.6057728, Accumulated Leap Seconds=24 + { 2447858.50, 56.791748 }, //28 November 1989, UT1-UTC=-0.6077485, Accumulated Leap Seconds=24 + { 2447859.50, 56.793600 }, //29 November 1989, UT1-UTC=-0.6095996, Accumulated Leap Seconds=24 + { 2447860.50, 56.795383 }, //30 November 1989, UT1-UTC=-0.6113828, Accumulated Leap Seconds=24 + { 2447861.50, 56.797160 }, //01 December 1989, UT1-UTC=-0.6131596, Accumulated Leap Seconds=24 + { 2447862.50, 56.798996 }, //02 December 1989, UT1-UTC=-0.6149960, Accumulated Leap Seconds=24 + { 2447863.50, 56.800952 }, //03 December 1989, UT1-UTC=-0.6169522, Accumulated Leap Seconds=24 + { 2447864.50, 56.803070 }, //04 December 1989, UT1-UTC=-0.6190704, Accumulated Leap Seconds=24 + { 2447865.50, 56.805363 }, //05 December 1989, UT1-UTC=-0.6213625, Accumulated Leap Seconds=24 + { 2447866.50, 56.807815 }, //06 December 1989, UT1-UTC=-0.6238147, Accumulated Leap Seconds=24 + { 2447867.50, 56.810369 }, //07 December 1989, UT1-UTC=-0.6263694, Accumulated Leap Seconds=24 + { 2447868.50, 56.812923 }, //08 December 1989, UT1-UTC=-0.6289230, Accumulated Leap Seconds=24 + { 2447869.50, 56.815351 }, //09 December 1989, UT1-UTC=-0.6313513, Accumulated Leap Seconds=24 + { 2447870.50, 56.817546 }, //10 December 1989, UT1-UTC=-0.6335460, Accumulated Leap Seconds=24 + { 2447871.50, 56.819457 }, //11 December 1989, UT1-UTC=-0.6354566, Accumulated Leap Seconds=24 + { 2447872.50, 56.821114 }, //12 December 1989, UT1-UTC=-0.6371141, Accumulated Leap Seconds=24 + { 2447873.50, 56.822617 }, //13 December 1989, UT1-UTC=-0.6386168, Accumulated Leap Seconds=24 + { 2447874.50, 56.824093 }, //14 December 1989, UT1-UTC=-0.6400927, Accumulated Leap Seconds=24 + { 2447875.50, 56.825650 }, //15 December 1989, UT1-UTC=-0.6416503, Accumulated Leap Seconds=24 + { 2447876.50, 56.827365 }, //16 December 1989, UT1-UTC=-0.6433649, Accumulated Leap Seconds=24 + { 2447877.50, 56.829258 }, //17 December 1989, UT1-UTC=-0.6452577, Accumulated Leap Seconds=24 + { 2447878.50, 56.831304 }, //18 December 1989, UT1-UTC=-0.6473040, Accumulated Leap Seconds=24 + { 2447879.50, 56.833453 }, //19 December 1989, UT1-UTC=-0.6494535, Accumulated Leap Seconds=24 + { 2447880.50, 56.835645 }, //20 December 1989, UT1-UTC=-0.6516454, Accumulated Leap Seconds=24 + { 2447881.50, 56.837810 }, //21 December 1989, UT1-UTC=-0.6538100, Accumulated Leap Seconds=24 + { 2447882.50, 56.839885 }, //22 December 1989, UT1-UTC=-0.6558848, Accumulated Leap Seconds=24 + { 2447883.50, 56.841820 }, //23 December 1989, UT1-UTC=-0.6578201, Accumulated Leap Seconds=24 + { 2447884.50, 56.843578 }, //24 December 1989, UT1-UTC=-0.6595778, Accumulated Leap Seconds=24 + { 2447885.50, 56.845147 }, //25 December 1989, UT1-UTC=-0.6611469, Accumulated Leap Seconds=24 + { 2447886.50, 56.846554 }, //26 December 1989, UT1-UTC=-0.6625538, Accumulated Leap Seconds=24 + { 2447887.50, 56.847851 }, //27 December 1989, UT1-UTC=-0.6638512, Accumulated Leap Seconds=24 + { 2447888.50, 56.849110 }, //28 December 1989, UT1-UTC=-0.6651098, Accumulated Leap Seconds=24 + { 2447889.50, 56.850409 }, //29 December 1989, UT1-UTC=-0.6664093, Accumulated Leap Seconds=24 + { 2447890.50, 56.851828 }, //30 December 1989, UT1-UTC=-0.6678277, Accumulated Leap Seconds=24 + { 2447891.50, 56.853435 }, //31 December 1989, UT1-UTC=-0.6694346, Accumulated Leap Seconds=24 + { 2447892.50, 56.855270 }, //01 January 1990, UT1-UTC= 0.3287299, Accumulated Leap Seconds=25 + { 2447893.50, 56.857324 }, //02 January 1990, UT1-UTC= 0.3266755, Accumulated Leap Seconds=25 + { 2447894.50, 56.859539 }, //03 January 1990, UT1-UTC= 0.3244612, Accumulated Leap Seconds=25 + { 2447895.50, 56.861817 }, //04 January 1990, UT1-UTC= 0.3221827, Accumulated Leap Seconds=25 + { 2447896.50, 56.864033 }, //05 January 1990, UT1-UTC= 0.3199666, Accumulated Leap Seconds=25 + { 2447897.50, 56.866067 }, //06 January 1990, UT1-UTC= 0.3179327, Accumulated Leap Seconds=25 + { 2447898.50, 56.867845 }, //07 January 1990, UT1-UTC= 0.3161554, Accumulated Leap Seconds=25 + { 2447899.50, 56.869352 }, //08 January 1990, UT1-UTC= 0.3146479, Accumulated Leap Seconds=25 + { 2447900.50, 56.870641 }, //09 January 1990, UT1-UTC= 0.3133590, Accumulated Leap Seconds=25 + { 2447901.50, 56.871826 }, //10 January 1990, UT1-UTC= 0.3121743, Accumulated Leap Seconds=25 + { 2447902.50, 56.873040 }, //11 January 1990, UT1-UTC= 0.3109595, Accumulated Leap Seconds=25 + { 2447903.50, 56.874398 }, //12 January 1990, UT1-UTC= 0.3096018, Accumulated Leap Seconds=25 + { 2447904.50, 56.875961 }, //13 January 1990, UT1-UTC= 0.3080388, Accumulated Leap Seconds=25 + { 2447905.50, 56.877729 }, //14 January 1990, UT1-UTC= 0.3062707, Accumulated Leap Seconds=25 + { 2447906.50, 56.879637 }, //15 January 1990, UT1-UTC= 0.3043627, Accumulated Leap Seconds=25 + { 2447907.50, 56.881597 }, //16 January 1990, UT1-UTC= 0.3024028, Accumulated Leap Seconds=25 + { 2447908.50, 56.883527 }, //17 January 1990, UT1-UTC= 0.3004731, Accumulated Leap Seconds=25 + { 2447909.50, 56.885362 }, //18 January 1990, UT1-UTC= 0.2986380, Accumulated Leap Seconds=25 + { 2447910.50, 56.887061 }, //19 January 1990, UT1-UTC= 0.2969392, Accumulated Leap Seconds=25 + { 2447911.50, 56.888615 }, //20 January 1990, UT1-UTC= 0.2953849, Accumulated Leap Seconds=25 + { 2447912.50, 56.890030 }, //21 January 1990, UT1-UTC= 0.2939698, Accumulated Leap Seconds=25 + { 2447913.50, 56.891332 }, //22 January 1990, UT1-UTC= 0.2926678, Accumulated Leap Seconds=25 + { 2447914.50, 56.892572 }, //23 January 1990, UT1-UTC= 0.2914283, Accumulated Leap Seconds=25 + { 2447915.50, 56.893818 }, //24 January 1990, UT1-UTC= 0.2901819, Accumulated Leap Seconds=25 + { 2447916.50, 56.895158 }, //25 January 1990, UT1-UTC= 0.2888420, Accumulated Leap Seconds=25 + { 2447917.50, 56.896685 }, //26 January 1990, UT1-UTC= 0.2873146, Accumulated Leap Seconds=25 + { 2447918.50, 56.898477 }, //27 January 1990, UT1-UTC= 0.2855226, Accumulated Leap Seconds=25 + { 2447919.50, 56.900573 }, //28 January 1990, UT1-UTC= 0.2834268, Accumulated Leap Seconds=25 + { 2447920.50, 56.902963 }, //29 January 1990, UT1-UTC= 0.2810372, Accumulated Leap Seconds=25 + { 2447921.50, 56.905593 }, //30 January 1990, UT1-UTC= 0.2784068, Accumulated Leap Seconds=25 + { 2447922.50, 56.908367 }, //31 January 1990, UT1-UTC= 0.2756331, Accumulated Leap Seconds=25 + { 2447923.50, 56.911138 }, //01 February 1990, UT1-UTC= 0.2728622, Accumulated Leap Seconds=25 + { 2447924.50, 56.913772 }, //02 February 1990, UT1-UTC= 0.2702280, Accumulated Leap Seconds=25 + { 2447925.50, 56.916183 }, //03 February 1990, UT1-UTC= 0.2678168, Accumulated Leap Seconds=25 + { 2447926.50, 56.918362 }, //04 February 1990, UT1-UTC= 0.2656382, Accumulated Leap Seconds=25 + { 2447927.50, 56.920372 }, //05 February 1990, UT1-UTC= 0.2636275, Accumulated Leap Seconds=25 + { 2447928.50, 56.922322 }, //06 February 1990, UT1-UTC= 0.2616782, Accumulated Leap Seconds=25 + { 2447929.50, 56.924327 }, //07 February 1990, UT1-UTC= 0.2596732, Accumulated Leap Seconds=25 + { 2447930.50, 56.926479 }, //08 February 1990, UT1-UTC= 0.2575205, Accumulated Leap Seconds=25 + { 2447931.50, 56.928835 }, //09 February 1990, UT1-UTC= 0.2551654, Accumulated Leap Seconds=25 + { 2447932.50, 56.931389 }, //10 February 1990, UT1-UTC= 0.2526112, Accumulated Leap Seconds=25 + { 2447933.50, 56.934092 }, //11 February 1990, UT1-UTC= 0.2499077, Accumulated Leap Seconds=25 + { 2447934.50, 56.936873 }, //12 February 1990, UT1-UTC= 0.2471273, Accumulated Leap Seconds=25 + { 2447935.50, 56.939650 }, //13 February 1990, UT1-UTC= 0.2443503, Accumulated Leap Seconds=25 + { 2447936.50, 56.942349 }, //14 February 1990, UT1-UTC= 0.2416508, Accumulated Leap Seconds=25 + { 2447937.50, 56.944914 }, //15 February 1990, UT1-UTC= 0.2390857, Accumulated Leap Seconds=25 + { 2447938.50, 56.947311 }, //16 February 1990, UT1-UTC= 0.2366892, Accumulated Leap Seconds=25 + { 2447939.50, 56.949533 }, //17 February 1990, UT1-UTC= 0.2344671, Accumulated Leap Seconds=25 + { 2447940.50, 56.951581 }, //18 February 1990, UT1-UTC= 0.2324190, Accumulated Leap Seconds=25 + { 2447941.50, 56.953470 }, //19 February 1990, UT1-UTC= 0.2305295, Accumulated Leap Seconds=25 + { 2447942.50, 56.955223 }, //20 February 1990, UT1-UTC= 0.2287768, Accumulated Leap Seconds=25 + { 2447943.50, 56.956893 }, //21 February 1990, UT1-UTC= 0.2271069, Accumulated Leap Seconds=25 + { 2447944.50, 56.958594 }, //22 February 1990, UT1-UTC= 0.2254056, Accumulated Leap Seconds=25 + { 2447945.50, 56.960446 }, //23 February 1990, UT1-UTC= 0.2235538, Accumulated Leap Seconds=25 + { 2447946.50, 56.962532 }, //24 February 1990, UT1-UTC= 0.2214677, Accumulated Leap Seconds=25 + { 2447947.50, 56.964888 }, //25 February 1990, UT1-UTC= 0.2191119, Accumulated Leap Seconds=25 + { 2447948.50, 56.967480 }, //26 February 1990, UT1-UTC= 0.2165203, Accumulated Leap Seconds=25 + { 2447949.50, 56.970205 }, //27 February 1990, UT1-UTC= 0.2137950, Accumulated Leap Seconds=25 + { 2447950.50, 56.972921 }, //28 February 1990, UT1-UTC= 0.2110790, Accumulated Leap Seconds=25 + { 2447951.50, 56.975472 }, //01 March 1990, UT1-UTC= 0.2085275, Accumulated Leap Seconds=25 + { 2447952.50, 56.977755 }, //02 March 1990, UT1-UTC= 0.2062450, Accumulated Leap Seconds=25 + { 2447953.50, 56.979753 }, //03 March 1990, UT1-UTC= 0.2042473, Accumulated Leap Seconds=25 + { 2447954.50, 56.981526 }, //04 March 1990, UT1-UTC= 0.2024744, Accumulated Leap Seconds=25 + { 2447955.50, 56.983180 }, //05 March 1990, UT1-UTC= 0.2008204, Accumulated Leap Seconds=25 + { 2447956.50, 56.984837 }, //06 March 1990, UT1-UTC= 0.1991629, Accumulated Leap Seconds=25 + { 2447957.50, 56.986611 }, //07 March 1990, UT1-UTC= 0.1973892, Accumulated Leap Seconds=25 + { 2447958.50, 56.988578 }, //08 March 1990, UT1-UTC= 0.1954224, Accumulated Leap Seconds=25 + { 2447959.50, 56.990770 }, //09 March 1990, UT1-UTC= 0.1932302, Accumulated Leap Seconds=25 + { 2447960.50, 56.993175 }, //10 March 1990, UT1-UTC= 0.1908252, Accumulated Leap Seconds=25 + { 2447961.50, 56.995720 }, //11 March 1990, UT1-UTC= 0.1882804, Accumulated Leap Seconds=25 + { 2447962.50, 56.998309 }, //12 March 1990, UT1-UTC= 0.1856908, Accumulated Leap Seconds=25 + { 2447963.50, 57.000851 }, //13 March 1990, UT1-UTC= 0.1831488, Accumulated Leap Seconds=25 + { 2447964.50, 57.003269 }, //14 March 1990, UT1-UTC= 0.1807307, Accumulated Leap Seconds=25 + { 2447965.50, 57.005518 }, //15 March 1990, UT1-UTC= 0.1784817, Accumulated Leap Seconds=25 + { 2447966.50, 57.007612 }, //16 March 1990, UT1-UTC= 0.1763881, Accumulated Leap Seconds=25 + { 2447967.50, 57.009586 }, //17 March 1990, UT1-UTC= 0.1744136, Accumulated Leap Seconds=25 + { 2447968.50, 57.011486 }, //18 March 1990, UT1-UTC= 0.1725138, Accumulated Leap Seconds=25 + { 2447969.50, 57.013372 }, //19 March 1990, UT1-UTC= 0.1706279, Accumulated Leap Seconds=25 + { 2447970.50, 57.015316 }, //20 March 1990, UT1-UTC= 0.1686844, Accumulated Leap Seconds=25 + { 2447971.50, 57.017386 }, //21 March 1990, UT1-UTC= 0.1666143, Accumulated Leap Seconds=25 + { 2447972.50, 57.019649 }, //22 March 1990, UT1-UTC= 0.1643506, Accumulated Leap Seconds=25 + { 2447973.50, 57.022162 }, //23 March 1990, UT1-UTC= 0.1618382, Accumulated Leap Seconds=25 + { 2447974.50, 57.024954 }, //24 March 1990, UT1-UTC= 0.1590458, Accumulated Leap Seconds=25 + { 2447975.50, 57.028017 }, //25 March 1990, UT1-UTC= 0.1559830, Accumulated Leap Seconds=25 + { 2447976.50, 57.031258 }, //26 March 1990, UT1-UTC= 0.1527418, Accumulated Leap Seconds=25 + { 2447977.50, 57.034525 }, //27 March 1990, UT1-UTC= 0.1494752, Accumulated Leap Seconds=25 + { 2447978.50, 57.037644 }, //28 March 1990, UT1-UTC= 0.1463557, Accumulated Leap Seconds=25 + { 2447979.50, 57.040474 }, //29 March 1990, UT1-UTC= 0.1435257, Accumulated Leap Seconds=25 + { 2447980.50, 57.042944 }, //30 March 1990, UT1-UTC= 0.1410556, Accumulated Leap Seconds=25 + { 2447981.50, 57.045106 }, //31 March 1990, UT1-UTC= 0.1388943, Accumulated Leap Seconds=25 + { 2447982.50, 57.047077 }, //01 April 1990, UT1-UTC= 0.1369228, Accumulated Leap Seconds=25 + { 2447983.50, 57.049000 }, //02 April 1990, UT1-UTC= 0.1350002, Accumulated Leap Seconds=25 + { 2447984.50, 57.051002 }, //03 April 1990, UT1-UTC= 0.1329978, Accumulated Leap Seconds=25 + { 2447985.50, 57.053171 }, //04 April 1990, UT1-UTC= 0.1308293, Accumulated Leap Seconds=25 + { 2447986.50, 57.055518 }, //05 April 1990, UT1-UTC= 0.1284821, Accumulated Leap Seconds=25 + { 2447987.50, 57.058008 }, //06 April 1990, UT1-UTC= 0.1259920, Accumulated Leap Seconds=25 + { 2447988.50, 57.060596 }, //07 April 1990, UT1-UTC= 0.1234035, Accumulated Leap Seconds=25 + { 2447989.50, 57.063227 }, //08 April 1990, UT1-UTC= 0.1207725, Accumulated Leap Seconds=25 + { 2447990.50, 57.065837 }, //09 April 1990, UT1-UTC= 0.1181634, Accumulated Leap Seconds=25 + { 2447991.50, 57.068359 }, //10 April 1990, UT1-UTC= 0.1156414, Accumulated Leap Seconds=25 + { 2447992.50, 57.070743 }, //11 April 1990, UT1-UTC= 0.1132566, Accumulated Leap Seconds=25 + { 2447993.50, 57.072965 }, //12 April 1990, UT1-UTC= 0.1110349, Accumulated Leap Seconds=25 + { 2447994.50, 57.075024 }, //13 April 1990, UT1-UTC= 0.1089757, Accumulated Leap Seconds=25 + { 2447995.50, 57.076937 }, //14 April 1990, UT1-UTC= 0.1070634, Accumulated Leap Seconds=25 + { 2447996.50, 57.078740 }, //15 April 1990, UT1-UTC= 0.1052598, Accumulated Leap Seconds=25 + { 2447997.50, 57.080501 }, //16 April 1990, UT1-UTC= 0.1034993, Accumulated Leap Seconds=25 + { 2447998.50, 57.082294 }, //17 April 1990, UT1-UTC= 0.1017055, Accumulated Leap Seconds=25 + { 2447999.50, 57.084203 }, //18 April 1990, UT1-UTC= 0.0997972, Accumulated Leap Seconds=25 + { 2448000.50, 57.086314 }, //19 April 1990, UT1-UTC= 0.0976858, Accumulated Leap Seconds=25 + { 2448001.50, 57.088684 }, //20 April 1990, UT1-UTC= 0.0953157, Accumulated Leap Seconds=25 + { 2448002.50, 57.091324 }, //21 April 1990, UT1-UTC= 0.0926757, Accumulated Leap Seconds=25 + { 2448003.50, 57.094184 }, //22 April 1990, UT1-UTC= 0.0898164, Accumulated Leap Seconds=25 + { 2448004.50, 57.097147 }, //23 April 1990, UT1-UTC= 0.0868525, Accumulated Leap Seconds=25 + { 2448005.50, 57.100056 }, //24 April 1990, UT1-UTC= 0.0839438, Accumulated Leap Seconds=25 + { 2448006.50, 57.102756 }, //25 April 1990, UT1-UTC= 0.0812443, Accumulated Leap Seconds=25 + { 2448007.50, 57.105132 }, //26 April 1990, UT1-UTC= 0.0788675, Accumulated Leap Seconds=25 + { 2448008.50, 57.107159 }, //27 April 1990, UT1-UTC= 0.0768409, Accumulated Leap Seconds=25 + { 2448009.50, 57.108900 }, //28 April 1990, UT1-UTC= 0.0751001, Accumulated Leap Seconds=25 + { 2448010.50, 57.110462 }, //29 April 1990, UT1-UTC= 0.0735384, Accumulated Leap Seconds=25 + { 2448011.50, 57.111990 }, //30 April 1990, UT1-UTC= 0.0720096, Accumulated Leap Seconds=25 + { 2448012.50, 57.113613 }, //01 May 1990, UT1-UTC= 0.0703872, Accumulated Leap Seconds=25 + { 2448013.50, 57.115397 }, //02 May 1990, UT1-UTC= 0.0686030, Accumulated Leap Seconds=25 + { 2448014.50, 57.117352 }, //03 May 1990, UT1-UTC= 0.0666480, Accumulated Leap Seconds=25 + { 2448015.50, 57.119441 }, //04 May 1990, UT1-UTC= 0.0645590, Accumulated Leap Seconds=25 + { 2448016.50, 57.121601 }, //05 May 1990, UT1-UTC= 0.0623985, Accumulated Leap Seconds=25 + { 2448017.50, 57.123758 }, //06 May 1990, UT1-UTC= 0.0602422, Accumulated Leap Seconds=25 + { 2448018.50, 57.125839 }, //07 May 1990, UT1-UTC= 0.0581609, Accumulated Leap Seconds=25 + { 2448019.50, 57.127789 }, //08 May 1990, UT1-UTC= 0.0562105, Accumulated Leap Seconds=25 + { 2448020.50, 57.129578 }, //09 May 1990, UT1-UTC= 0.0544221, Accumulated Leap Seconds=25 + { 2448021.50, 57.131217 }, //10 May 1990, UT1-UTC= 0.0527826, Accumulated Leap Seconds=25 + { 2448022.50, 57.132733 }, //11 May 1990, UT1-UTC= 0.0512668, Accumulated Leap Seconds=25 + { 2448023.50, 57.134166 }, //12 May 1990, UT1-UTC= 0.0498338, Accumulated Leap Seconds=25 + { 2448024.50, 57.135576 }, //13 May 1990, UT1-UTC= 0.0484244, Accumulated Leap Seconds=25 + { 2448025.50, 57.137031 }, //14 May 1990, UT1-UTC= 0.0469688, Accumulated Leap Seconds=25 + { 2448026.50, 57.138614 }, //15 May 1990, UT1-UTC= 0.0453861, Accumulated Leap Seconds=25 + { 2448027.50, 57.140395 }, //16 May 1990, UT1-UTC= 0.0436049, Accumulated Leap Seconds=25 + { 2448028.50, 57.142404 }, //17 May 1990, UT1-UTC= 0.0415965, Accumulated Leap Seconds=25 + { 2448029.50, 57.144650 }, //18 May 1990, UT1-UTC= 0.0393498, Accumulated Leap Seconds=25 + { 2448030.50, 57.147110 }, //19 May 1990, UT1-UTC= 0.0368903, Accumulated Leap Seconds=25 + { 2448031.50, 57.149716 }, //20 May 1990, UT1-UTC= 0.0342836, Accumulated Leap Seconds=25 + { 2448032.50, 57.152367 }, //21 May 1990, UT1-UTC= 0.0316328, Accumulated Leap Seconds=25 + { 2448033.50, 57.154935 }, //22 May 1990, UT1-UTC= 0.0290653, Accumulated Leap Seconds=25 + { 2448034.50, 57.157303 }, //23 May 1990, UT1-UTC= 0.0266965, Accumulated Leap Seconds=25 + { 2448035.50, 57.159393 }, //24 May 1990, UT1-UTC= 0.0246069, Accumulated Leap Seconds=25 + { 2448036.50, 57.161192 }, //25 May 1990, UT1-UTC= 0.0228081, Accumulated Leap Seconds=25 + { 2448037.50, 57.162783 }, //26 May 1990, UT1-UTC= 0.0212166, Accumulated Leap Seconds=25 + { 2448038.50, 57.164320 }, //27 May 1990, UT1-UTC= 0.0196804, Accumulated Leap Seconds=25 + { 2448039.50, 57.165939 }, //28 May 1990, UT1-UTC= 0.0180611, Accumulated Leap Seconds=25 + { 2448040.50, 57.167719 }, //29 May 1990, UT1-UTC= 0.0162813, Accumulated Leap Seconds=25 + { 2448041.50, 57.169663 }, //30 May 1990, UT1-UTC= 0.0143374, Accumulated Leap Seconds=25 + { 2448042.50, 57.171723 }, //31 May 1990, UT1-UTC= 0.0122766, Accumulated Leap Seconds=25 + { 2448043.50, 57.173831 }, //01 June 1990, UT1-UTC= 0.0101690, Accumulated Leap Seconds=25 + { 2448044.50, 57.175911 }, //02 June 1990, UT1-UTC= 0.0080890, Accumulated Leap Seconds=25 + { 2448045.50, 57.177899 }, //03 June 1990, UT1-UTC= 0.0061014, Accumulated Leap Seconds=25 + { 2448046.50, 57.179744 }, //04 June 1990, UT1-UTC= 0.0042559, Accumulated Leap Seconds=25 + { 2448047.50, 57.181411 }, //05 June 1990, UT1-UTC= 0.0025887, Accumulated Leap Seconds=25 + { 2448048.50, 57.182887 }, //06 June 1990, UT1-UTC= 0.0011131, Accumulated Leap Seconds=25 + { 2448049.50, 57.184193 }, //07 June 1990, UT1-UTC=-0.0001929, Accumulated Leap Seconds=25 + { 2448050.50, 57.185378 }, //08 June 1990, UT1-UTC=-0.0013779, Accumulated Leap Seconds=25 + { 2448051.50, 57.186510 }, //09 June 1990, UT1-UTC=-0.0025105, Accumulated Leap Seconds=25 + { 2448052.50, 57.187670 }, //10 June 1990, UT1-UTC=-0.0036700, Accumulated Leap Seconds=25 + { 2448053.50, 57.188930 }, //11 June 1990, UT1-UTC=-0.0049304, Accumulated Leap Seconds=25 + { 2448054.50, 57.190345 }, //12 June 1990, UT1-UTC=-0.0063454, Accumulated Leap Seconds=25 + { 2448055.50, 57.191940 }, //13 June 1990, UT1-UTC=-0.0079399, Accumulated Leap Seconds=25 + { 2448056.50, 57.193724 }, //14 June 1990, UT1-UTC=-0.0097238, Accumulated Leap Seconds=25 + { 2448057.50, 57.195687 }, //15 June 1990, UT1-UTC=-0.0116874, Accumulated Leap Seconds=25 + { 2448058.50, 57.197784 }, //16 June 1990, UT1-UTC=-0.0137844, Accumulated Leap Seconds=25 + { 2448059.50, 57.199933 }, //17 June 1990, UT1-UTC=-0.0159328, Accumulated Leap Seconds=25 + { 2448060.50, 57.202025 }, //18 June 1990, UT1-UTC=-0.0180254, Accumulated Leap Seconds=25 + { 2448061.50, 57.203960 }, //19 June 1990, UT1-UTC=-0.0199602, Accumulated Leap Seconds=25 + { 2448062.50, 57.205676 }, //20 June 1990, UT1-UTC=-0.0216762, Accumulated Leap Seconds=25 + { 2448063.50, 57.207164 }, //21 June 1990, UT1-UTC=-0.0231643, Accumulated Leap Seconds=25 + { 2448064.50, 57.208473 }, //22 June 1990, UT1-UTC=-0.0244731, Accumulated Leap Seconds=25 + { 2448065.50, 57.209694 }, //23 June 1990, UT1-UTC=-0.0256936, Accumulated Leap Seconds=25 + { 2448066.50, 57.210959 }, //24 June 1990, UT1-UTC=-0.0269587, Accumulated Leap Seconds=25 + { 2448067.50, 57.212370 }, //25 June 1990, UT1-UTC=-0.0283702, Accumulated Leap Seconds=25 + { 2448068.50, 57.213960 }, //26 June 1990, UT1-UTC=-0.0299604, Accumulated Leap Seconds=25 + { 2448069.50, 57.215692 }, //27 June 1990, UT1-UTC=-0.0316925, Accumulated Leap Seconds=25 + { 2448070.50, 57.217487 }, //28 June 1990, UT1-UTC=-0.0334874, Accumulated Leap Seconds=25 + { 2448071.50, 57.219273 }, //29 June 1990, UT1-UTC=-0.0352726, Accumulated Leap Seconds=25 + { 2448072.50, 57.220991 }, //30 June 1990, UT1-UTC=-0.0369906, Accumulated Leap Seconds=25 + { 2448073.50, 57.222607 }, //01 July 1990, UT1-UTC=-0.0386068, Accumulated Leap Seconds=25 + { 2448074.50, 57.224088 }, //02 July 1990, UT1-UTC=-0.0400881, Accumulated Leap Seconds=25 + { 2448075.50, 57.225402 }, //03 July 1990, UT1-UTC=-0.0414022, Accumulated Leap Seconds=25 + { 2448076.50, 57.226562 }, //04 July 1990, UT1-UTC=-0.0425616, Accumulated Leap Seconds=25 + { 2448077.50, 57.227590 }, //05 July 1990, UT1-UTC=-0.0435896, Accumulated Leap Seconds=25 + { 2448078.50, 57.228523 }, //06 July 1990, UT1-UTC=-0.0445233, Accumulated Leap Seconds=25 + { 2448079.50, 57.229411 }, //07 July 1990, UT1-UTC=-0.0454115, Accumulated Leap Seconds=25 + { 2448080.50, 57.230301 }, //08 July 1990, UT1-UTC=-0.0463011, Accumulated Leap Seconds=25 + { 2448081.50, 57.231268 }, //09 July 1990, UT1-UTC=-0.0472682, Accumulated Leap Seconds=25 + { 2448082.50, 57.232388 }, //10 July 1990, UT1-UTC=-0.0483881, Accumulated Leap Seconds=25 + { 2448083.50, 57.233705 }, //11 July 1990, UT1-UTC=-0.0497046, Accumulated Leap Seconds=25 + { 2448084.50, 57.235212 }, //12 July 1990, UT1-UTC=-0.0512119, Accumulated Leap Seconds=25 + { 2448085.50, 57.236849 }, //13 July 1990, UT1-UTC=-0.0528489, Accumulated Leap Seconds=25 + { 2448086.50, 57.238534 }, //14 July 1990, UT1-UTC=-0.0545337, Accumulated Leap Seconds=25 + { 2448087.50, 57.240159 }, //15 July 1990, UT1-UTC=-0.0561593, Accumulated Leap Seconds=25 + { 2448088.50, 57.241620 }, //16 July 1990, UT1-UTC=-0.0576203, Accumulated Leap Seconds=25 + { 2448089.50, 57.242841 }, //17 July 1990, UT1-UTC=-0.0588413, Accumulated Leap Seconds=25 + { 2448090.50, 57.243800 }, //18 July 1990, UT1-UTC=-0.0597996, Accumulated Leap Seconds=25 + { 2448091.50, 57.244540 }, //19 July 1990, UT1-UTC=-0.0605401, Accumulated Leap Seconds=25 + { 2448092.50, 57.245176 }, //20 July 1990, UT1-UTC=-0.0611762, Accumulated Leap Seconds=25 + { 2448093.50, 57.245851 }, //21 July 1990, UT1-UTC=-0.0618514, Accumulated Leap Seconds=25 + { 2448094.50, 57.246693 }, //22 July 1990, UT1-UTC=-0.0626927, Accumulated Leap Seconds=25 + { 2448095.50, 57.247770 }, //23 July 1990, UT1-UTC=-0.0637696, Accumulated Leap Seconds=25 + { 2448096.50, 57.249073 }, //24 July 1990, UT1-UTC=-0.0650727, Accumulated Leap Seconds=25 + { 2448097.50, 57.250532 }, //25 July 1990, UT1-UTC=-0.0665325, Accumulated Leap Seconds=25 + { 2448098.50, 57.252060 }, //26 July 1990, UT1-UTC=-0.0680598, Accumulated Leap Seconds=25 + { 2448099.50, 57.253576 }, //27 July 1990, UT1-UTC=-0.0695760, Accumulated Leap Seconds=25 + { 2448100.50, 57.255036 }, //28 July 1990, UT1-UTC=-0.0710357, Accumulated Leap Seconds=25 + { 2448101.50, 57.256400 }, //29 July 1990, UT1-UTC=-0.0723997, Accumulated Leap Seconds=25 + { 2448102.50, 57.257641 }, //30 July 1990, UT1-UTC=-0.0736414, Accumulated Leap Seconds=25 + { 2448103.50, 57.258751 }, //31 July 1990, UT1-UTC=-0.0747510, Accumulated Leap Seconds=25 + { 2448104.50, 57.259731 }, //01 August 1990, UT1-UTC=-0.0757310, Accumulated Leap Seconds=25 + { 2448105.50, 57.260595 }, //02 August 1990, UT1-UTC=-0.0765954, Accumulated Leap Seconds=25 + { 2448106.50, 57.261409 }, //03 August 1990, UT1-UTC=-0.0774086, Accumulated Leap Seconds=25 + { 2448107.50, 57.262260 }, //04 August 1990, UT1-UTC=-0.0782605, Accumulated Leap Seconds=25 + { 2448108.50, 57.263238 }, //05 August 1990, UT1-UTC=-0.0792382, Accumulated Leap Seconds=25 + { 2448109.50, 57.264417 }, //06 August 1990, UT1-UTC=-0.0804167, Accumulated Leap Seconds=25 + { 2448110.50, 57.265842 }, //07 August 1990, UT1-UTC=-0.0818421, Accumulated Leap Seconds=25 + { 2448111.50, 57.267519 }, //08 August 1990, UT1-UTC=-0.0835193, Accumulated Leap Seconds=25 + { 2448112.50, 57.269407 }, //09 August 1990, UT1-UTC=-0.0854070, Accumulated Leap Seconds=25 + { 2448113.50, 57.271419 }, //10 August 1990, UT1-UTC=-0.0874187, Accumulated Leap Seconds=25 + { 2448114.50, 57.273444 }, //11 August 1990, UT1-UTC=-0.0894445, Accumulated Leap Seconds=25 + { 2448115.50, 57.275372 }, //12 August 1990, UT1-UTC=-0.0913725, Accumulated Leap Seconds=25 + { 2448116.50, 57.277119 }, //13 August 1990, UT1-UTC=-0.0931194, Accumulated Leap Seconds=25 + { 2448117.50, 57.278645 }, //14 August 1990, UT1-UTC=-0.0946455, Accumulated Leap Seconds=25 + { 2448118.50, 57.279973 }, //15 August 1990, UT1-UTC=-0.0959732, Accumulated Leap Seconds=25 + { 2448119.50, 57.281191 }, //16 August 1990, UT1-UTC=-0.0971907, Accumulated Leap Seconds=25 + { 2448120.50, 57.282418 }, //17 August 1990, UT1-UTC=-0.0984181, Accumulated Leap Seconds=25 + { 2448121.50, 57.283778 }, //18 August 1990, UT1-UTC=-0.0997780, Accumulated Leap Seconds=25 + { 2448122.50, 57.285356 }, //19 August 1990, UT1-UTC=-0.1013560, Accumulated Leap Seconds=25 + { 2448123.50, 57.287178 }, //20 August 1990, UT1-UTC=-0.1031780, Accumulated Leap Seconds=25 + { 2448124.50, 57.289207 }, //21 August 1990, UT1-UTC=-0.1052071, Accumulated Leap Seconds=25 + { 2448125.50, 57.291361 }, //22 August 1990, UT1-UTC=-0.1073609, Accumulated Leap Seconds=25 + { 2448126.50, 57.293538 }, //23 August 1990, UT1-UTC=-0.1095377, Accumulated Leap Seconds=25 + { 2448127.50, 57.295649 }, //24 August 1990, UT1-UTC=-0.1116487, Accumulated Leap Seconds=25 + { 2448128.50, 57.297621 }, //25 August 1990, UT1-UTC=-0.1136207, Accumulated Leap Seconds=25 + { 2448129.50, 57.299410 }, //26 August 1990, UT1-UTC=-0.1154098, Accumulated Leap Seconds=25 + { 2448130.50, 57.301003 }, //27 August 1990, UT1-UTC=-0.1170033, Accumulated Leap Seconds=25 + { 2448131.50, 57.302418 }, //28 August 1990, UT1-UTC=-0.1184179, Accumulated Leap Seconds=25 + { 2448132.50, 57.303691 }, //29 August 1990, UT1-UTC=-0.1196906, Accumulated Leap Seconds=25 + { 2448133.50, 57.304875 }, //30 August 1990, UT1-UTC=-0.1208751, Accumulated Leap Seconds=25 + { 2448134.50, 57.306043 }, //31 August 1990, UT1-UTC=-0.1220434, Accumulated Leap Seconds=25 + { 2448135.50, 57.307274 }, //01 September 1990, UT1-UTC=-0.1232742, Accumulated Leap Seconds=25 + { 2448136.50, 57.308654 }, //02 September 1990, UT1-UTC=-0.1246539, Accumulated Leap Seconds=25 + { 2448137.50, 57.310257 }, //03 September 1990, UT1-UTC=-0.1262568, Accumulated Leap Seconds=25 + { 2448138.50, 57.312125 }, //04 September 1990, UT1-UTC=-0.1281251, Accumulated Leap Seconds=25 + { 2448139.50, 57.314254 }, //05 September 1990, UT1-UTC=-0.1302544, Accumulated Leap Seconds=25 + { 2448140.50, 57.316580 }, //06 September 1990, UT1-UTC=-0.1325801, Accumulated Leap Seconds=25 + { 2448141.50, 57.318967 }, //07 September 1990, UT1-UTC=-0.1349674, Accumulated Leap Seconds=25 + { 2448142.50, 57.321264 }, //08 September 1990, UT1-UTC=-0.1372637, Accumulated Leap Seconds=25 + { 2448143.50, 57.323347 }, //09 September 1990, UT1-UTC=-0.1393470, Accumulated Leap Seconds=25 + { 2448144.50, 57.325155 }, //10 September 1990, UT1-UTC=-0.1411555, Accumulated Leap Seconds=25 + { 2448145.50, 57.326703 }, //11 September 1990, UT1-UTC=-0.1427028, Accumulated Leap Seconds=25 + { 2448146.50, 57.328089 }, //12 September 1990, UT1-UTC=-0.1440895, Accumulated Leap Seconds=25 + { 2448147.50, 57.329460 }, //13 September 1990, UT1-UTC=-0.1454603, Accumulated Leap Seconds=25 + { 2448148.50, 57.330948 }, //14 September 1990, UT1-UTC=-0.1469478, Accumulated Leap Seconds=25 + { 2448149.50, 57.332646 }, //15 September 1990, UT1-UTC=-0.1486457, Accumulated Leap Seconds=25 + { 2448150.50, 57.334591 }, //16 September 1990, UT1-UTC=-0.1505908, Accumulated Leap Seconds=25 + { 2448151.50, 57.336757 }, //17 September 1990, UT1-UTC=-0.1527567, Accumulated Leap Seconds=25 + { 2448152.50, 57.339074 }, //18 September 1990, UT1-UTC=-0.1550745, Accumulated Leap Seconds=25 + { 2448153.50, 57.341451 }, //19 September 1990, UT1-UTC=-0.1574511, Accumulated Leap Seconds=25 + { 2448154.50, 57.343792 }, //20 September 1990, UT1-UTC=-0.1597918, Accumulated Leap Seconds=25 + { 2448155.50, 57.346019 }, //21 September 1990, UT1-UTC=-0.1620186, Accumulated Leap Seconds=25 + { 2448156.50, 57.348081 }, //22 September 1990, UT1-UTC=-0.1640808, Accumulated Leap Seconds=25 + { 2448157.50, 57.349968 }, //23 September 1990, UT1-UTC=-0.1659684, Accumulated Leap Seconds=25 + { 2448158.50, 57.351703 }, //24 September 1990, UT1-UTC=-0.1677029, Accumulated Leap Seconds=25 + { 2448159.50, 57.353327 }, //25 September 1990, UT1-UTC=-0.1693274, Accumulated Leap Seconds=25 + { 2448160.50, 57.354900 }, //26 September 1990, UT1-UTC=-0.1708998, Accumulated Leap Seconds=25 + { 2448161.50, 57.356486 }, //27 September 1990, UT1-UTC=-0.1724864, Accumulated Leap Seconds=25 + { 2448162.50, 57.358160 }, //28 September 1990, UT1-UTC=-0.1741597, Accumulated Leap Seconds=25 + { 2448163.50, 57.359990 }, //29 September 1990, UT1-UTC=-0.1759905, Accumulated Leap Seconds=25 + { 2448164.50, 57.362038 }, //30 September 1990, UT1-UTC=-0.1780385, Accumulated Leap Seconds=25 + { 2448165.50, 57.364337 }, //01 October 1990, UT1-UTC=-0.1803368, Accumulated Leap Seconds=25 + { 2448166.50, 57.366873 }, //02 October 1990, UT1-UTC=-0.1828734, Accumulated Leap Seconds=25 + { 2448167.50, 57.369589 }, //03 October 1990, UT1-UTC=-0.1855895, Accumulated Leap Seconds=25 + { 2448168.50, 57.372378 }, //04 October 1990, UT1-UTC=-0.1883780, Accumulated Leap Seconds=25 + { 2448169.50, 57.375108 }, //05 October 1990, UT1-UTC=-0.1911078, Accumulated Leap Seconds=25 + { 2448170.50, 57.377656 }, //06 October 1990, UT1-UTC=-0.1936561, Accumulated Leap Seconds=25 + { 2448171.50, 57.379943 }, //07 October 1990, UT1-UTC=-0.1959435, Accumulated Leap Seconds=25 + { 2448172.50, 57.381966 }, //08 October 1990, UT1-UTC=-0.1979658, Accumulated Leap Seconds=25 + { 2448173.50, 57.383793 }, //09 October 1990, UT1-UTC=-0.1997935, Accumulated Leap Seconds=25 + { 2448174.50, 57.385540 }, //10 October 1990, UT1-UTC=-0.2015404, Accumulated Leap Seconds=25 + { 2448175.50, 57.387326 }, //11 October 1990, UT1-UTC=-0.2033257, Accumulated Leap Seconds=25 + { 2448176.50, 57.389244 }, //12 October 1990, UT1-UTC=-0.2052441, Accumulated Leap Seconds=25 + { 2448177.50, 57.391337 }, //13 October 1990, UT1-UTC=-0.2073366, Accumulated Leap Seconds=25 + { 2448178.50, 57.393590 }, //14 October 1990, UT1-UTC=-0.2095896, Accumulated Leap Seconds=25 + { 2448179.50, 57.395950 }, //15 October 1990, UT1-UTC=-0.2119499, Accumulated Leap Seconds=25 + { 2448180.50, 57.398346 }, //16 October 1990, UT1-UTC=-0.2143460, Accumulated Leap Seconds=25 + { 2448181.50, 57.400707 }, //17 October 1990, UT1-UTC=-0.2167072, Accumulated Leap Seconds=25 + { 2448182.50, 57.402973 }, //18 October 1990, UT1-UTC=-0.2189730, Accumulated Leap Seconds=25 + { 2448183.50, 57.405102 }, //19 October 1990, UT1-UTC=-0.2211017, Accumulated Leap Seconds=25 + { 2448184.50, 57.407077 }, //20 October 1990, UT1-UTC=-0.2230769, Accumulated Leap Seconds=25 + { 2448185.50, 57.408898 }, //21 October 1990, UT1-UTC=-0.2248977, Accumulated Leap Seconds=25 + { 2448186.50, 57.410603 }, //22 October 1990, UT1-UTC=-0.2266028, Accumulated Leap Seconds=25 + { 2448187.50, 57.412259 }, //23 October 1990, UT1-UTC=-0.2282592, Accumulated Leap Seconds=25 + { 2448188.50, 57.413941 }, //24 October 1990, UT1-UTC=-0.2299413, Accumulated Leap Seconds=25 + { 2448189.50, 57.415710 }, //25 October 1990, UT1-UTC=-0.2317097, Accumulated Leap Seconds=25 + { 2448190.50, 57.417616 }, //26 October 1990, UT1-UTC=-0.2336164, Accumulated Leap Seconds=25 + { 2448191.50, 57.419709 }, //27 October 1990, UT1-UTC=-0.2357095, Accumulated Leap Seconds=25 + { 2448192.50, 57.422038 }, //28 October 1990, UT1-UTC=-0.2380376, Accumulated Leap Seconds=25 + { 2448193.50, 57.424625 }, //29 October 1990, UT1-UTC=-0.2406245, Accumulated Leap Seconds=25 + { 2448194.50, 57.427447 }, //30 October 1990, UT1-UTC=-0.2434467, Accumulated Leap Seconds=25 + { 2448195.50, 57.430424 }, //31 October 1990, UT1-UTC=-0.2464239, Accumulated Leap Seconds=25 + { 2448196.50, 57.433428 }, //01 November 1990, UT1-UTC=-0.2494281, Accumulated Leap Seconds=25 + { 2448197.50, 57.436313 }, //02 November 1990, UT1-UTC=-0.2523127, Accumulated Leap Seconds=25 + { 2448198.50, 57.438948 }, //03 November 1990, UT1-UTC=-0.2549484, Accumulated Leap Seconds=25 + { 2448199.50, 57.441266 }, //04 November 1990, UT1-UTC=-0.2572657, Accumulated Leap Seconds=25 + { 2448200.50, 57.443284 }, //05 November 1990, UT1-UTC=-0.2592841, Accumulated Leap Seconds=25 + { 2448201.50, 57.445131 }, //06 November 1990, UT1-UTC=-0.2611312, Accumulated Leap Seconds=25 + { 2448202.50, 57.446978 }, //07 November 1990, UT1-UTC=-0.2629783, Accumulated Leap Seconds=25 + { 2448203.50, 57.448971 }, //08 November 1990, UT1-UTC=-0.2649711, Accumulated Leap Seconds=25 + { 2448204.50, 57.451185 }, //09 November 1990, UT1-UTC=-0.2671853, Accumulated Leap Seconds=25 + { 2448205.50, 57.453619 }, //10 November 1990, UT1-UTC=-0.2696192, Accumulated Leap Seconds=25 + { 2448206.50, 57.456204 }, //11 November 1990, UT1-UTC=-0.2722039, Accumulated Leap Seconds=25 + { 2448207.50, 57.458848 }, //12 November 1990, UT1-UTC=-0.2748479, Accumulated Leap Seconds=25 + { 2448208.50, 57.461459 }, //13 November 1990, UT1-UTC=-0.2774593, Accumulated Leap Seconds=25 + { 2448209.50, 57.463959 }, //14 November 1990, UT1-UTC=-0.2799595, Accumulated Leap Seconds=25 + { 2448210.50, 57.466292 }, //15 November 1990, UT1-UTC=-0.2822923, Accumulated Leap Seconds=25 + { 2448211.50, 57.468432 }, //16 November 1990, UT1-UTC=-0.2844325, Accumulated Leap Seconds=25 + { 2448212.50, 57.470382 }, //17 November 1990, UT1-UTC=-0.2863825, Accumulated Leap Seconds=25 + { 2448213.50, 57.472170 }, //18 November 1990, UT1-UTC=-0.2881696, Accumulated Leap Seconds=25 + { 2448214.50, 57.473846 }, //19 November 1990, UT1-UTC=-0.2898456, Accumulated Leap Seconds=25 + { 2448215.50, 57.475495 }, //20 November 1990, UT1-UTC=-0.2914947, Accumulated Leap Seconds=25 + { 2448216.50, 57.477195 }, //21 November 1990, UT1-UTC=-0.2931951, Accumulated Leap Seconds=25 + { 2448217.50, 57.479008 }, //22 November 1990, UT1-UTC=-0.2950083, Accumulated Leap Seconds=25 + { 2448218.50, 57.480984 }, //23 November 1990, UT1-UTC=-0.2969842, Accumulated Leap Seconds=25 + { 2448219.50, 57.483157 }, //24 November 1990, UT1-UTC=-0.2991571, Accumulated Leap Seconds=25 + { 2448220.50, 57.485542 }, //25 November 1990, UT1-UTC=-0.3015423, Accumulated Leap Seconds=25 + { 2448221.50, 57.488128 }, //26 November 1990, UT1-UTC=-0.3041284, Accumulated Leap Seconds=25 + { 2448222.50, 57.490869 }, //27 November 1990, UT1-UTC=-0.3068688, Accumulated Leap Seconds=25 + { 2448223.50, 57.493681 }, //28 November 1990, UT1-UTC=-0.3096809, Accumulated Leap Seconds=25 + { 2448224.50, 57.496465 }, //29 November 1990, UT1-UTC=-0.3124648, Accumulated Leap Seconds=25 + { 2448225.50, 57.499120 }, //30 November 1990, UT1-UTC=-0.3151201, Accumulated Leap Seconds=25 + { 2448226.50, 57.501575 }, //01 December 1990, UT1-UTC=-0.3175747, Accumulated Leap Seconds=25 + { 2448227.50, 57.503812 }, //02 December 1990, UT1-UTC=-0.3198120, Accumulated Leap Seconds=25 + { 2448228.50, 57.505891 }, //03 December 1990, UT1-UTC=-0.3218909, Accumulated Leap Seconds=25 + { 2448229.50, 57.507925 }, //04 December 1990, UT1-UTC=-0.3239249, Accumulated Leap Seconds=25 + { 2448230.50, 57.510032 }, //05 December 1990, UT1-UTC=-0.3260323, Accumulated Leap Seconds=25 + { 2448231.50, 57.512292 }, //06 December 1990, UT1-UTC=-0.3282918, Accumulated Leap Seconds=25 + { 2448232.50, 57.514716 }, //07 December 1990, UT1-UTC=-0.3307156, Accumulated Leap Seconds=25 + { 2448233.50, 57.517257 }, //08 December 1990, UT1-UTC=-0.3332567, Accumulated Leap Seconds=25 + { 2448234.50, 57.519832 }, //09 December 1990, UT1-UTC=-0.3358323, Accumulated Leap Seconds=25 + { 2448235.50, 57.522351 }, //10 December 1990, UT1-UTC=-0.3383512, Accumulated Leap Seconds=25 + { 2448236.50, 57.524721 }, //11 December 1990, UT1-UTC=-0.3407208, Accumulated Leap Seconds=25 + { 2448237.50, 57.526874 }, //12 December 1990, UT1-UTC=-0.3428735, Accumulated Leap Seconds=25 + { 2448238.50, 57.528792 }, //13 December 1990, UT1-UTC=-0.3447925, Accumulated Leap Seconds=25 + { 2448239.50, 57.530500 }, //14 December 1990, UT1-UTC=-0.3465003, Accumulated Leap Seconds=25 + { 2448240.50, 57.532045 }, //15 December 1990, UT1-UTC=-0.3480446, Accumulated Leap Seconds=25 + { 2448241.50, 57.533482 }, //16 December 1990, UT1-UTC=-0.3494824, Accumulated Leap Seconds=25 + { 2448242.50, 57.534874 }, //17 December 1990, UT1-UTC=-0.3508740, Accumulated Leap Seconds=25 + { 2448243.50, 57.536286 }, //18 December 1990, UT1-UTC=-0.3522861, Accumulated Leap Seconds=25 + { 2448244.50, 57.537788 }, //19 December 1990, UT1-UTC=-0.3537879, Accumulated Leap Seconds=25 + { 2448245.50, 57.539454 }, //20 December 1990, UT1-UTC=-0.3554536, Accumulated Leap Seconds=25 + { 2448246.50, 57.541321 }, //21 December 1990, UT1-UTC=-0.3573212, Accumulated Leap Seconds=25 + { 2448247.50, 57.543398 }, //22 December 1990, UT1-UTC=-0.3593976, Accumulated Leap Seconds=25 + { 2448248.50, 57.545664 }, //23 December 1990, UT1-UTC=-0.3616644, Accumulated Leap Seconds=25 + { 2448249.50, 57.548077 }, //24 December 1990, UT1-UTC=-0.3640766, Accumulated Leap Seconds=25 + { 2448250.50, 57.550569 }, //25 December 1990, UT1-UTC=-0.3665691, Accumulated Leap Seconds=25 + { 2448251.50, 57.553061 }, //26 December 1990, UT1-UTC=-0.3690611, Accumulated Leap Seconds=25 + { 2448252.50, 57.555466 }, //27 December 1990, UT1-UTC=-0.3714658, Accumulated Leap Seconds=25 + { 2448253.50, 57.557711 }, //28 December 1990, UT1-UTC=-0.3737111, Accumulated Leap Seconds=25 + { 2448254.50, 57.559759 }, //29 December 1990, UT1-UTC=-0.3757593, Accumulated Leap Seconds=25 + { 2448255.50, 57.561637 }, //30 December 1990, UT1-UTC=-0.3776373, Accumulated Leap Seconds=25 + { 2448256.50, 57.563443 }, //31 December 1990, UT1-UTC=-0.3794432, Accumulated Leap Seconds=25 + { 2448257.50, 57.565313 }, //01 January 1991, UT1-UTC= 0.6186873, Accumulated Leap Seconds=26 + { 2448258.50, 57.567365 }, //02 January 1991, UT1-UTC= 0.6166345, Accumulated Leap Seconds=26 + { 2448259.50, 57.569661 }, //03 January 1991, UT1-UTC= 0.6143393, Accumulated Leap Seconds=26 + { 2448260.50, 57.572180 }, //04 January 1991, UT1-UTC= 0.6118200, Accumulated Leap Seconds=26 + { 2448261.50, 57.574840 }, //05 January 1991, UT1-UTC= 0.6091597, Accumulated Leap Seconds=26 + { 2448262.50, 57.577532 }, //06 January 1991, UT1-UTC= 0.6064680, Accumulated Leap Seconds=26 + { 2448263.50, 57.580159 }, //07 January 1991, UT1-UTC= 0.6038412, Accumulated Leap Seconds=26 + { 2448264.50, 57.582651 }, //08 January 1991, UT1-UTC= 0.6013486, Accumulated Leap Seconds=26 + { 2448265.50, 57.584965 }, //09 January 1991, UT1-UTC= 0.5990349, Accumulated Leap Seconds=26 + { 2448266.50, 57.587098 }, //10 January 1991, UT1-UTC= 0.5969015, Accumulated Leap Seconds=26 + { 2448267.50, 57.589077 }, //11 January 1991, UT1-UTC= 0.5949227, Accumulated Leap Seconds=26 + { 2448268.50, 57.590941 }, //12 January 1991, UT1-UTC= 0.5930593, Accumulated Leap Seconds=26 + { 2448269.50, 57.592736 }, //13 January 1991, UT1-UTC= 0.5912641, Accumulated Leap Seconds=26 + { 2448270.50, 57.594515 }, //14 January 1991, UT1-UTC= 0.5894847, Accumulated Leap Seconds=26 + { 2448271.50, 57.596340 }, //15 January 1991, UT1-UTC= 0.5876603, Accumulated Leap Seconds=26 + { 2448272.50, 57.598265 }, //16 January 1991, UT1-UTC= 0.5857348, Accumulated Leap Seconds=26 + { 2448273.50, 57.600330 }, //17 January 1991, UT1-UTC= 0.5836705, Accumulated Leap Seconds=26 + { 2448274.50, 57.602541 }, //18 January 1991, UT1-UTC= 0.5814590, Accumulated Leap Seconds=26 + { 2448275.50, 57.604880 }, //19 January 1991, UT1-UTC= 0.5791200, Accumulated Leap Seconds=26 + { 2448276.50, 57.607313 }, //20 January 1991, UT1-UTC= 0.5766870, Accumulated Leap Seconds=26 + { 2448277.50, 57.609789 }, //21 January 1991, UT1-UTC= 0.5742108, Accumulated Leap Seconds=26 + { 2448278.50, 57.612242 }, //22 January 1991, UT1-UTC= 0.5717582, Accumulated Leap Seconds=26 + { 2448279.50, 57.614606 }, //23 January 1991, UT1-UTC= 0.5693941, Accumulated Leap Seconds=26 + { 2448280.50, 57.616829 }, //24 January 1991, UT1-UTC= 0.5671710, Accumulated Leap Seconds=26 + { 2448281.50, 57.618870 }, //25 January 1991, UT1-UTC= 0.5651295, Accumulated Leap Seconds=26 + { 2448282.50, 57.620742 }, //26 January 1991, UT1-UTC= 0.5632577, Accumulated Leap Seconds=26 + { 2448283.50, 57.622517 }, //27 January 1991, UT1-UTC= 0.5614832, Accumulated Leap Seconds=26 + { 2448284.50, 57.624309 }, //28 January 1991, UT1-UTC= 0.5596912, Accumulated Leap Seconds=26 + { 2448285.50, 57.626237 }, //29 January 1991, UT1-UTC= 0.5577626, Accumulated Leap Seconds=26 + { 2448286.50, 57.628384 }, //30 January 1991, UT1-UTC= 0.5556160, Accumulated Leap Seconds=26 + { 2448287.50, 57.630768 }, //31 January 1991, UT1-UTC= 0.5532320, Accumulated Leap Seconds=26 + { 2448288.50, 57.633340 }, //01 February 1991, UT1-UTC= 0.5506604, Accumulated Leap Seconds=26 + { 2448289.50, 57.636006 }, //02 February 1991, UT1-UTC= 0.5479937, Accumulated Leap Seconds=26 + { 2448290.50, 57.638662 }, //03 February 1991, UT1-UTC= 0.5453384, Accumulated Leap Seconds=26 + { 2448291.50, 57.641201 }, //04 February 1991, UT1-UTC= 0.5427988, Accumulated Leap Seconds=26 + { 2448292.50, 57.643559 }, //05 February 1991, UT1-UTC= 0.5404409, Accumulated Leap Seconds=26 + { 2448293.50, 57.645713 }, //06 February 1991, UT1-UTC= 0.5382868, Accumulated Leap Seconds=26 + { 2448294.50, 57.647687 }, //07 February 1991, UT1-UTC= 0.5363129, Accumulated Leap Seconds=26 + { 2448295.50, 57.649525 }, //08 February 1991, UT1-UTC= 0.5344753, Accumulated Leap Seconds=26 + { 2448296.50, 57.651281 }, //09 February 1991, UT1-UTC= 0.5327192, Accumulated Leap Seconds=26 + { 2448297.50, 57.653025 }, //10 February 1991, UT1-UTC= 0.5309754, Accumulated Leap Seconds=26 + { 2448298.50, 57.654828 }, //11 February 1991, UT1-UTC= 0.5291720, Accumulated Leap Seconds=26 + { 2448299.50, 57.656755 }, //12 February 1991, UT1-UTC= 0.5272449, Accumulated Leap Seconds=26 + { 2448300.50, 57.658852 }, //13 February 1991, UT1-UTC= 0.5251484, Accumulated Leap Seconds=26 + { 2448301.50, 57.661139 }, //14 February 1991, UT1-UTC= 0.5228605, Accumulated Leap Seconds=26 + { 2448302.50, 57.663620 }, //15 February 1991, UT1-UTC= 0.5203802, Accumulated Leap Seconds=26 + { 2448303.50, 57.666246 }, //16 February 1991, UT1-UTC= 0.5177536, Accumulated Leap Seconds=26 + { 2448304.50, 57.668937 }, //17 February 1991, UT1-UTC= 0.5150635, Accumulated Leap Seconds=26 + { 2448305.50, 57.671585 }, //18 February 1991, UT1-UTC= 0.5124151, Accumulated Leap Seconds=26 + { 2448306.50, 57.674105 }, //19 February 1991, UT1-UTC= 0.5098949, Accumulated Leap Seconds=26 + { 2448307.50, 57.676444 }, //20 February 1991, UT1-UTC= 0.5075563, Accumulated Leap Seconds=26 + { 2448308.50, 57.678589 }, //21 February 1991, UT1-UTC= 0.5054113, Accumulated Leap Seconds=26 + { 2448309.50, 57.680585 }, //22 February 1991, UT1-UTC= 0.5034147, Accumulated Leap Seconds=26 + { 2448310.50, 57.682524 }, //23 February 1991, UT1-UTC= 0.5014756, Accumulated Leap Seconds=26 + { 2448311.50, 57.684499 }, //24 February 1991, UT1-UTC= 0.4995014, Accumulated Leap Seconds=26 + { 2448312.50, 57.686605 }, //25 February 1991, UT1-UTC= 0.4973952, Accumulated Leap Seconds=26 + { 2448313.50, 57.688926 }, //26 February 1991, UT1-UTC= 0.4950742, Accumulated Leap Seconds=26 + { 2448314.50, 57.691503 }, //27 February 1991, UT1-UTC= 0.4924967, Accumulated Leap Seconds=26 + { 2448315.50, 57.694319 }, //28 February 1991, UT1-UTC= 0.4896806, Accumulated Leap Seconds=26 + { 2448316.50, 57.697284 }, //01 March 1991, UT1-UTC= 0.4867156, Accumulated Leap Seconds=26 + { 2448317.50, 57.700266 }, //02 March 1991, UT1-UTC= 0.4837336, Accumulated Leap Seconds=26 + { 2448318.50, 57.703131 }, //03 March 1991, UT1-UTC= 0.4808686, Accumulated Leap Seconds=26 + { 2448319.50, 57.705776 }, //04 March 1991, UT1-UTC= 0.4782244, Accumulated Leap Seconds=26 + { 2448320.50, 57.708145 }, //05 March 1991, UT1-UTC= 0.4758554, Accumulated Leap Seconds=26 + { 2448321.50, 57.710245 }, //06 March 1991, UT1-UTC= 0.4737546, Accumulated Leap Seconds=26 + { 2448322.50, 57.712120 }, //07 March 1991, UT1-UTC= 0.4718801, Accumulated Leap Seconds=26 + { 2448323.50, 57.713834 }, //08 March 1991, UT1-UTC= 0.4701663, Accumulated Leap Seconds=26 + { 2448324.50, 57.715478 }, //09 March 1991, UT1-UTC= 0.4685217, Accumulated Leap Seconds=26 + { 2448325.50, 57.717148 }, //10 March 1991, UT1-UTC= 0.4668521, Accumulated Leap Seconds=26 + { 2448326.50, 57.718919 }, //11 March 1991, UT1-UTC= 0.4650811, Accumulated Leap Seconds=26 + { 2448327.50, 57.720857 }, //12 March 1991, UT1-UTC= 0.4631426, Accumulated Leap Seconds=26 + { 2448328.50, 57.723010 }, //13 March 1991, UT1-UTC= 0.4609901, Accumulated Leap Seconds=26 + { 2448329.50, 57.725388 }, //14 March 1991, UT1-UTC= 0.4586115, Accumulated Leap Seconds=26 + { 2448330.50, 57.727977 }, //15 March 1991, UT1-UTC= 0.4560228, Accumulated Leap Seconds=26 + { 2448331.50, 57.730770 }, //16 March 1991, UT1-UTC= 0.4532295, Accumulated Leap Seconds=26 + { 2448332.50, 57.733680 }, //17 March 1991, UT1-UTC= 0.4503202, Accumulated Leap Seconds=26 + { 2448333.50, 57.736571 }, //18 March 1991, UT1-UTC= 0.4474291, Accumulated Leap Seconds=26 + { 2448334.50, 57.739316 }, //19 March 1991, UT1-UTC= 0.4446838, Accumulated Leap Seconds=26 + { 2448335.50, 57.741830 }, //20 March 1991, UT1-UTC= 0.4421696, Accumulated Leap Seconds=26 + { 2448336.50, 57.744107 }, //21 March 1991, UT1-UTC= 0.4398935, Accumulated Leap Seconds=26 + { 2448337.50, 57.746203 }, //22 March 1991, UT1-UTC= 0.4377969, Accumulated Leap Seconds=26 + { 2448338.50, 57.748213 }, //23 March 1991, UT1-UTC= 0.4357868, Accumulated Leap Seconds=26 + { 2448339.50, 57.750241 }, //24 March 1991, UT1-UTC= 0.4337585, Accumulated Leap Seconds=26 + { 2448340.50, 57.752381 }, //25 March 1991, UT1-UTC= 0.4316193, Accumulated Leap Seconds=26 + { 2448341.50, 57.754730 }, //26 March 1991, UT1-UTC= 0.4292702, Accumulated Leap Seconds=26 + { 2448342.50, 57.757338 }, //27 March 1991, UT1-UTC= 0.4266623, Accumulated Leap Seconds=26 + { 2448343.50, 57.760141 }, //28 March 1991, UT1-UTC= 0.4238586, Accumulated Leap Seconds=26 + { 2448344.50, 57.763026 }, //29 March 1991, UT1-UTC= 0.4209736, Accumulated Leap Seconds=26 + { 2448345.50, 57.765866 }, //30 March 1991, UT1-UTC= 0.4181342, Accumulated Leap Seconds=26 + { 2448346.50, 57.768564 }, //31 March 1991, UT1-UTC= 0.4154357, Accumulated Leap Seconds=26 + { 2448347.50, 57.771077 }, //01 April 1991, UT1-UTC= 0.4129226, Accumulated Leap Seconds=26 + { 2448348.50, 57.773400 }, //02 April 1991, UT1-UTC= 0.4106000, Accumulated Leap Seconds=26 + { 2448349.50, 57.775559 }, //03 April 1991, UT1-UTC= 0.4084408, Accumulated Leap Seconds=26 + { 2448350.50, 57.777594 }, //04 April 1991, UT1-UTC= 0.4064062, Accumulated Leap Seconds=26 + { 2448351.50, 57.779551 }, //05 April 1991, UT1-UTC= 0.4044489, Accumulated Leap Seconds=26 + { 2448352.50, 57.781484 }, //06 April 1991, UT1-UTC= 0.4025161, Accumulated Leap Seconds=26 + { 2448353.50, 57.783444 }, //07 April 1991, UT1-UTC= 0.4005560, Accumulated Leap Seconds=26 + { 2448354.50, 57.785477 }, //08 April 1991, UT1-UTC= 0.3985228, Accumulated Leap Seconds=26 + { 2448355.50, 57.787622 }, //09 April 1991, UT1-UTC= 0.3963778, Accumulated Leap Seconds=26 + { 2448356.50, 57.789914 }, //10 April 1991, UT1-UTC= 0.3940858, Accumulated Leap Seconds=26 + { 2448357.50, 57.792368 }, //11 April 1991, UT1-UTC= 0.3916317, Accumulated Leap Seconds=26 + { 2448358.50, 57.794974 }, //12 April 1991, UT1-UTC= 0.3890260, Accumulated Leap Seconds=26 + { 2448359.50, 57.797687 }, //13 April 1991, UT1-UTC= 0.3863127, Accumulated Leap Seconds=26 + { 2448360.50, 57.800429 }, //14 April 1991, UT1-UTC= 0.3835710, Accumulated Leap Seconds=26 + { 2448361.50, 57.803084 }, //15 April 1991, UT1-UTC= 0.3809164, Accumulated Leap Seconds=26 + { 2448362.50, 57.805549 }, //16 April 1991, UT1-UTC= 0.3784514, Accumulated Leap Seconds=26 + { 2448363.50, 57.807775 }, //17 April 1991, UT1-UTC= 0.3762250, Accumulated Leap Seconds=26 + { 2448364.50, 57.809785 }, //18 April 1991, UT1-UTC= 0.3742153, Accumulated Leap Seconds=26 + { 2448365.50, 57.811668 }, //19 April 1991, UT1-UTC= 0.3723315, Accumulated Leap Seconds=26 + { 2448366.50, 57.813598 }, //20 April 1991, UT1-UTC= 0.3704025, Accumulated Leap Seconds=26 + { 2448367.50, 57.815691 }, //21 April 1991, UT1-UTC= 0.3683085, Accumulated Leap Seconds=26 + { 2448368.50, 57.818009 }, //22 April 1991, UT1-UTC= 0.3659907, Accumulated Leap Seconds=26 + { 2448369.50, 57.820553 }, //23 April 1991, UT1-UTC= 0.3634465, Accumulated Leap Seconds=26 + { 2448370.50, 57.823279 }, //24 April 1991, UT1-UTC= 0.3607214, Accumulated Leap Seconds=26 + { 2448371.50, 57.826101 }, //25 April 1991, UT1-UTC= 0.3578994, Accumulated Leap Seconds=26 + { 2448372.50, 57.828919 }, //26 April 1991, UT1-UTC= 0.3550805, Accumulated Leap Seconds=26 + { 2448373.50, 57.831643 }, //27 April 1991, UT1-UTC= 0.3523574, Accumulated Leap Seconds=26 + { 2448374.50, 57.834203 }, //28 April 1991, UT1-UTC= 0.3497972, Accumulated Leap Seconds=26 + { 2448375.50, 57.836567 }, //29 April 1991, UT1-UTC= 0.3474332, Accumulated Leap Seconds=26 + { 2448376.50, 57.838736 }, //30 April 1991, UT1-UTC= 0.3452638, Accumulated Leap Seconds=26 + { 2448377.50, 57.840743 }, //01 May 1991, UT1-UTC= 0.3432573, Accumulated Leap Seconds=26 + { 2448378.50, 57.842642 }, //02 May 1991, UT1-UTC= 0.3413582, Accumulated Leap Seconds=26 + { 2448379.50, 57.844499 }, //03 May 1991, UT1-UTC= 0.3395013, Accumulated Leap Seconds=26 + { 2448380.50, 57.846380 }, //04 May 1991, UT1-UTC= 0.3376197, Accumulated Leap Seconds=26 + { 2448381.50, 57.848353 }, //05 May 1991, UT1-UTC= 0.3356474, Accumulated Leap Seconds=26 + { 2448382.50, 57.850471 }, //06 May 1991, UT1-UTC= 0.3335288, Accumulated Leap Seconds=26 + { 2448383.50, 57.852776 }, //07 May 1991, UT1-UTC= 0.3312242, Accumulated Leap Seconds=26 + { 2448384.50, 57.855280 }, //08 May 1991, UT1-UTC= 0.3287201, Accumulated Leap Seconds=26 + { 2448385.50, 57.857961 }, //09 May 1991, UT1-UTC= 0.3260393, Accumulated Leap Seconds=26 + { 2448386.50, 57.860768 }, //10 May 1991, UT1-UTC= 0.3232324, Accumulated Leap Seconds=26 + { 2448387.50, 57.863621 }, //11 May 1991, UT1-UTC= 0.3203791, Accumulated Leap Seconds=26 + { 2448388.50, 57.866423 }, //12 May 1991, UT1-UTC= 0.3175768, Accumulated Leap Seconds=26 + { 2448389.50, 57.869081 }, //13 May 1991, UT1-UTC= 0.3149187, Accumulated Leap Seconds=26 + { 2448390.50, 57.871535 }, //14 May 1991, UT1-UTC= 0.3124646, Accumulated Leap Seconds=26 + { 2448391.50, 57.873784 }, //15 May 1991, UT1-UTC= 0.3102155, Accumulated Leap Seconds=26 + { 2448392.50, 57.875878 }, //16 May 1991, UT1-UTC= 0.3081224, Accumulated Leap Seconds=26 + { 2448393.50, 57.877907 }, //17 May 1991, UT1-UTC= 0.3060929, Accumulated Leap Seconds=26 + { 2448394.50, 57.879971 }, //18 May 1991, UT1-UTC= 0.3040287, Accumulated Leap Seconds=26 + { 2448395.50, 57.882145 }, //19 May 1991, UT1-UTC= 0.3018546, Accumulated Leap Seconds=26 + { 2448396.50, 57.884447 }, //20 May 1991, UT1-UTC= 0.2995529, Accumulated Leap Seconds=26 + { 2448397.50, 57.886835 }, //21 May 1991, UT1-UTC= 0.2971647, Accumulated Leap Seconds=26 + { 2448398.50, 57.889228 }, //22 May 1991, UT1-UTC= 0.2947720, Accumulated Leap Seconds=26 + { 2448399.50, 57.891524 }, //23 May 1991, UT1-UTC= 0.2924757, Accumulated Leap Seconds=26 + { 2448400.50, 57.893656 }, //24 May 1991, UT1-UTC= 0.2903437, Accumulated Leap Seconds=26 + { 2448401.50, 57.895587 }, //25 May 1991, UT1-UTC= 0.2884128, Accumulated Leap Seconds=26 + { 2448402.50, 57.897311 }, //26 May 1991, UT1-UTC= 0.2866890, Accumulated Leap Seconds=26 + { 2448403.50, 57.898852 }, //27 May 1991, UT1-UTC= 0.2851481, Accumulated Leap Seconds=26 + { 2448404.50, 57.900262 }, //28 May 1991, UT1-UTC= 0.2837384, Accumulated Leap Seconds=26 + { 2448405.50, 57.901604 }, //29 May 1991, UT1-UTC= 0.2823960, Accumulated Leap Seconds=26 + { 2448406.50, 57.902934 }, //30 May 1991, UT1-UTC= 0.2810657, Accumulated Leap Seconds=26 + { 2448407.50, 57.904309 }, //31 May 1991, UT1-UTC= 0.2796910, Accumulated Leap Seconds=26 + { 2448408.50, 57.905780 }, //01 June 1991, UT1-UTC= 0.2782199, Accumulated Leap Seconds=26 + { 2448409.50, 57.907393 }, //02 June 1991, UT1-UTC= 0.2766068, Accumulated Leap Seconds=26 + { 2448410.50, 57.909176 }, //03 June 1991, UT1-UTC= 0.2748243, Accumulated Leap Seconds=26 + { 2448411.50, 57.911134 }, //04 June 1991, UT1-UTC= 0.2728657, Accumulated Leap Seconds=26 + { 2448412.50, 57.913264 }, //05 June 1991, UT1-UTC= 0.2707358, Accumulated Leap Seconds=26 + { 2448413.50, 57.915545 }, //06 June 1991, UT1-UTC= 0.2684552, Accumulated Leap Seconds=26 + { 2448414.50, 57.917929 }, //07 June 1991, UT1-UTC= 0.2660706, Accumulated Leap Seconds=26 + { 2448415.50, 57.920347 }, //08 June 1991, UT1-UTC= 0.2636532, Accumulated Leap Seconds=26 + { 2448416.50, 57.922706 }, //09 June 1991, UT1-UTC= 0.2612938, Accumulated Leap Seconds=26 + { 2448417.50, 57.924931 }, //10 June 1991, UT1-UTC= 0.2590690, Accumulated Leap Seconds=26 + { 2448418.50, 57.926991 }, //11 June 1991, UT1-UTC= 0.2570088, Accumulated Leap Seconds=26 + { 2448419.50, 57.928909 }, //12 June 1991, UT1-UTC= 0.2550909, Accumulated Leap Seconds=26 + { 2448420.50, 57.930736 }, //13 June 1991, UT1-UTC= 0.2532644, Accumulated Leap Seconds=26 + { 2448421.50, 57.932577 }, //14 June 1991, UT1-UTC= 0.2514228, Accumulated Leap Seconds=26 + { 2448422.50, 57.934529 }, //15 June 1991, UT1-UTC= 0.2494713, Accumulated Leap Seconds=26 + { 2448423.50, 57.936629 }, //16 June 1991, UT1-UTC= 0.2473708, Accumulated Leap Seconds=26 + { 2448424.50, 57.938845 }, //17 June 1991, UT1-UTC= 0.2451548, Accumulated Leap Seconds=26 + { 2448425.50, 57.941088 }, //18 June 1991, UT1-UTC= 0.2429118, Accumulated Leap Seconds=26 + { 2448426.50, 57.943255 }, //19 June 1991, UT1-UTC= 0.2407451, Accumulated Leap Seconds=26 + { 2448427.50, 57.945259 }, //20 June 1991, UT1-UTC= 0.2387406, Accumulated Leap Seconds=26 + { 2448428.50, 57.947048 }, //21 June 1991, UT1-UTC= 0.2369518, Accumulated Leap Seconds=26 + { 2448429.50, 57.948601 }, //22 June 1991, UT1-UTC= 0.2353985, Accumulated Leap Seconds=26 + { 2448430.50, 57.949921 }, //23 June 1991, UT1-UTC= 0.2340790, Accumulated Leap Seconds=26 + { 2448431.50, 57.951029 }, //24 June 1991, UT1-UTC= 0.2329710, Accumulated Leap Seconds=26 + { 2448432.50, 57.951967 }, //25 June 1991, UT1-UTC= 0.2320333, Accumulated Leap Seconds=26 + { 2448433.50, 57.952792 }, //26 June 1991, UT1-UTC= 0.2312077, Accumulated Leap Seconds=26 + { 2448434.50, 57.953577 }, //27 June 1991, UT1-UTC= 0.2304227, Accumulated Leap Seconds=26 + { 2448435.50, 57.954397 }, //28 June 1991, UT1-UTC= 0.2296034, Accumulated Leap Seconds=26 + { 2448436.50, 57.955315 }, //29 June 1991, UT1-UTC= 0.2286853, Accumulated Leap Seconds=26 + { 2448437.50, 57.956369 }, //30 June 1991, UT1-UTC= 0.2276310, Accumulated Leap Seconds=26 + { 2448438.50, 57.957566 }, //01 July 1991, UT1-UTC= 0.2264337, Accumulated Leap Seconds=26 + { 2448439.50, 57.958894 }, //02 July 1991, UT1-UTC= 0.2251061, Accumulated Leap Seconds=26 + { 2448440.50, 57.960341 }, //03 July 1991, UT1-UTC= 0.2236593, Accumulated Leap Seconds=26 + { 2448441.50, 57.961876 }, //04 July 1991, UT1-UTC= 0.2221241, Accumulated Leap Seconds=26 + { 2448442.50, 57.963428 }, //05 July 1991, UT1-UTC= 0.2205722, Accumulated Leap Seconds=26 + { 2448443.50, 57.964911 }, //06 July 1991, UT1-UTC= 0.2190892, Accumulated Leap Seconds=26 + { 2448444.50, 57.966247 }, //07 July 1991, UT1-UTC= 0.2177529, Accumulated Leap Seconds=26 + { 2448445.50, 57.967388 }, //08 July 1991, UT1-UTC= 0.2166115, Accumulated Leap Seconds=26 + { 2448446.50, 57.968340 }, //09 July 1991, UT1-UTC= 0.2156604, Accumulated Leap Seconds=26 + { 2448447.50, 57.969173 }, //10 July 1991, UT1-UTC= 0.2148270, Accumulated Leap Seconds=26 + { 2448448.50, 57.970031 }, //11 July 1991, UT1-UTC= 0.2139694, Accumulated Leap Seconds=26 + { 2448449.50, 57.971066 }, //12 July 1991, UT1-UTC= 0.2129336, Accumulated Leap Seconds=26 + { 2448450.50, 57.972376 }, //13 July 1991, UT1-UTC= 0.2116242, Accumulated Leap Seconds=26 + { 2448451.50, 57.973970 }, //14 July 1991, UT1-UTC= 0.2100297, Accumulated Leap Seconds=26 + { 2448452.50, 57.975774 }, //15 July 1991, UT1-UTC= 0.2082262, Accumulated Leap Seconds=26 + { 2448453.50, 57.977647 }, //16 July 1991, UT1-UTC= 0.2063530, Accumulated Leap Seconds=26 + { 2448454.50, 57.979454 }, //17 July 1991, UT1-UTC= 0.2045463, Accumulated Leap Seconds=26 + { 2448455.50, 57.981110 }, //18 July 1991, UT1-UTC= 0.2028900, Accumulated Leap Seconds=26 + { 2448456.50, 57.982568 }, //19 July 1991, UT1-UTC= 0.2014318, Accumulated Leap Seconds=26 + { 2448457.50, 57.983804 }, //20 July 1991, UT1-UTC= 0.2001958, Accumulated Leap Seconds=26 + { 2448458.50, 57.984840 }, //21 July 1991, UT1-UTC= 0.1991599, Accumulated Leap Seconds=26 + { 2448459.50, 57.985732 }, //22 July 1991, UT1-UTC= 0.1982680, Accumulated Leap Seconds=26 + { 2448460.50, 57.986547 }, //23 July 1991, UT1-UTC= 0.1974532, Accumulated Leap Seconds=26 + { 2448461.50, 57.987349 }, //24 July 1991, UT1-UTC= 0.1966510, Accumulated Leap Seconds=26 + { 2448462.50, 57.988200 }, //25 July 1991, UT1-UTC= 0.1958000, Accumulated Leap Seconds=26 + { 2448463.50, 57.989160 }, //26 July 1991, UT1-UTC= 0.1948400, Accumulated Leap Seconds=26 + { 2448464.50, 57.990273 }, //27 July 1991, UT1-UTC= 0.1937267, Accumulated Leap Seconds=26 + { 2448465.50, 57.991555 }, //28 July 1991, UT1-UTC= 0.1924452, Accumulated Leap Seconds=26 + { 2448466.50, 57.992986 }, //29 July 1991, UT1-UTC= 0.1910139, Accumulated Leap Seconds=26 + { 2448467.50, 57.994507 }, //30 July 1991, UT1-UTC= 0.1894931, Accumulated Leap Seconds=26 + { 2448468.50, 57.996029 }, //31 July 1991, UT1-UTC= 0.1879714, Accumulated Leap Seconds=26 + { 2448469.50, 57.997493 }, //01 August 1991, UT1-UTC= 0.1865071, Accumulated Leap Seconds=26 + { 2448470.50, 57.998867 }, //02 August 1991, UT1-UTC= 0.1851333, Accumulated Leap Seconds=26 + { 2448471.50, 58.000122 }, //03 August 1991, UT1-UTC= 0.1838784, Accumulated Leap Seconds=26 + { 2448472.50, 58.001231 }, //04 August 1991, UT1-UTC= 0.1827692, Accumulated Leap Seconds=26 + { 2448473.50, 58.002196 }, //05 August 1991, UT1-UTC= 0.1818041, Accumulated Leap Seconds=26 + { 2448474.50, 58.003057 }, //06 August 1991, UT1-UTC= 0.1809429, Accumulated Leap Seconds=26 + { 2448475.50, 58.003900 }, //07 August 1991, UT1-UTC= 0.1800998, Accumulated Leap Seconds=26 + { 2448476.50, 58.004841 }, //08 August 1991, UT1-UTC= 0.1791588, Accumulated Leap Seconds=26 + { 2448477.50, 58.006000 }, //09 August 1991, UT1-UTC= 0.1779999, Accumulated Leap Seconds=26 + { 2448478.50, 58.007442 }, //10 August 1991, UT1-UTC= 0.1765578, Accumulated Leap Seconds=26 + { 2448479.50, 58.009148 }, //11 August 1991, UT1-UTC= 0.1748518, Accumulated Leap Seconds=26 + { 2448480.50, 58.011028 }, //12 August 1991, UT1-UTC= 0.1729715, Accumulated Leap Seconds=26 + { 2448481.50, 58.012965 }, //13 August 1991, UT1-UTC= 0.1710353, Accumulated Leap Seconds=26 + { 2448482.50, 58.014846 }, //14 August 1991, UT1-UTC= 0.1691544, Accumulated Leap Seconds=26 + { 2448483.50, 58.016579 }, //15 August 1991, UT1-UTC= 0.1674209, Accumulated Leap Seconds=26 + { 2448484.50, 58.018121 }, //16 August 1991, UT1-UTC= 0.1658790, Accumulated Leap Seconds=26 + { 2448485.50, 58.019472 }, //17 August 1991, UT1-UTC= 0.1645283, Accumulated Leap Seconds=26 + { 2448486.50, 58.020665 }, //18 August 1991, UT1-UTC= 0.1633349, Accumulated Leap Seconds=26 + { 2448487.50, 58.021756 }, //19 August 1991, UT1-UTC= 0.1622436, Accumulated Leap Seconds=26 + { 2448488.50, 58.022804 }, //20 August 1991, UT1-UTC= 0.1611961, Accumulated Leap Seconds=26 + { 2448489.50, 58.023865 }, //21 August 1991, UT1-UTC= 0.1601349, Accumulated Leap Seconds=26 + { 2448490.50, 58.024995 }, //22 August 1991, UT1-UTC= 0.1590054, Accumulated Leap Seconds=26 + { 2448491.50, 58.026246 }, //23 August 1991, UT1-UTC= 0.1577537, Accumulated Leap Seconds=26 + { 2448492.50, 58.027680 }, //24 August 1991, UT1-UTC= 0.1563201, Accumulated Leap Seconds=26 + { 2448493.50, 58.029312 }, //25 August 1991, UT1-UTC= 0.1546877, Accumulated Leap Seconds=26 + { 2448494.50, 58.031126 }, //26 August 1991, UT1-UTC= 0.1528737, Accumulated Leap Seconds=26 + { 2448495.50, 58.033078 }, //27 August 1991, UT1-UTC= 0.1509224, Accumulated Leap Seconds=26 + { 2448496.50, 58.035108 }, //28 August 1991, UT1-UTC= 0.1488923, Accumulated Leap Seconds=26 + { 2448497.50, 58.037131 }, //29 August 1991, UT1-UTC= 0.1468689, Accumulated Leap Seconds=26 + { 2448498.50, 58.039069 }, //30 August 1991, UT1-UTC= 0.1449313, Accumulated Leap Seconds=26 + { 2448499.50, 58.040876 }, //31 August 1991, UT1-UTC= 0.1431235, Accumulated Leap Seconds=26 + { 2448500.50, 58.042552 }, //01 September 1991, UT1-UTC= 0.1414483, Accumulated Leap Seconds=26 + { 2448501.50, 58.044136 }, //02 September 1991, UT1-UTC= 0.1398642, Accumulated Leap Seconds=26 + { 2448502.50, 58.045709 }, //03 September 1991, UT1-UTC= 0.1382909, Accumulated Leap Seconds=26 + { 2448503.50, 58.047376 }, //04 September 1991, UT1-UTC= 0.1366244, Accumulated Leap Seconds=26 + { 2448504.50, 58.049240 }, //05 September 1991, UT1-UTC= 0.1347595, Accumulated Leap Seconds=26 + { 2448505.50, 58.051369 }, //06 September 1991, UT1-UTC= 0.1326306, Accumulated Leap Seconds=26 + { 2448506.50, 58.053761 }, //07 September 1991, UT1-UTC= 0.1302394, Accumulated Leap Seconds=26 + { 2448507.50, 58.056341 }, //08 September 1991, UT1-UTC= 0.1276590, Accumulated Leap Seconds=26 + { 2448508.50, 58.059002 }, //09 September 1991, UT1-UTC= 0.1249975, Accumulated Leap Seconds=26 + { 2448509.50, 58.061628 }, //10 September 1991, UT1-UTC= 0.1223721, Accumulated Leap Seconds=26 + { 2448510.50, 58.064120 }, //11 September 1991, UT1-UTC= 0.1198796, Accumulated Leap Seconds=26 + { 2448511.50, 58.066411 }, //12 September 1991, UT1-UTC= 0.1175890, Accumulated Leap Seconds=26 + { 2448512.50, 58.068478 }, //13 September 1991, UT1-UTC= 0.1155225, Accumulated Leap Seconds=26 + { 2448513.50, 58.070338 }, //14 September 1991, UT1-UTC= 0.1136621, Accumulated Leap Seconds=26 + { 2448514.50, 58.072038 }, //15 September 1991, UT1-UTC= 0.1119620, Accumulated Leap Seconds=26 + { 2448515.50, 58.073635 }, //16 September 1991, UT1-UTC= 0.1103647, Accumulated Leap Seconds=26 + { 2448516.50, 58.075184 }, //17 September 1991, UT1-UTC= 0.1088160, Accumulated Leap Seconds=26 + { 2448517.50, 58.076741 }, //18 September 1991, UT1-UTC= 0.1072593, Accumulated Leap Seconds=26 + { 2448518.50, 58.078378 }, //19 September 1991, UT1-UTC= 0.1056220, Accumulated Leap Seconds=26 + { 2448519.50, 58.080157 }, //20 September 1991, UT1-UTC= 0.1038429, Accumulated Leap Seconds=26 + { 2448520.50, 58.082116 }, //21 September 1991, UT1-UTC= 0.1018845, Accumulated Leap Seconds=26 + { 2448521.50, 58.084263 }, //22 September 1991, UT1-UTC= 0.0997366, Accumulated Leap Seconds=26 + { 2448522.50, 58.086584 }, //23 September 1991, UT1-UTC= 0.0974157, Accumulated Leap Seconds=26 + { 2448523.50, 58.089037 }, //24 September 1991, UT1-UTC= 0.0949625, Accumulated Leap Seconds=26 + { 2448524.50, 58.091551 }, //25 September 1991, UT1-UTC= 0.0924487, Accumulated Leap Seconds=26 + { 2448525.50, 58.094022 }, //26 September 1991, UT1-UTC= 0.0899784, Accumulated Leap Seconds=26 + { 2448526.50, 58.096366 }, //27 September 1991, UT1-UTC= 0.0876344, Accumulated Leap Seconds=26 + { 2448527.50, 58.098535 }, //28 September 1991, UT1-UTC= 0.0854645, Accumulated Leap Seconds=26 + { 2448528.50, 58.100544 }, //29 September 1991, UT1-UTC= 0.0834557, Accumulated Leap Seconds=26 + { 2448529.50, 58.102450 }, //30 September 1991, UT1-UTC= 0.0815502, Accumulated Leap Seconds=26 + { 2448530.50, 58.104332 }, //01 October 1991, UT1-UTC= 0.0796681, Accumulated Leap Seconds=26 + { 2448531.50, 58.106279 }, //02 October 1991, UT1-UTC= 0.0777207, Accumulated Leap Seconds=26 + { 2448532.50, 58.108381 }, //03 October 1991, UT1-UTC= 0.0756190, Accumulated Leap Seconds=26 + { 2448533.50, 58.110677 }, //04 October 1991, UT1-UTC= 0.0733229, Accumulated Leap Seconds=26 + { 2448534.50, 58.113145 }, //05 October 1991, UT1-UTC= 0.0708552, Accumulated Leap Seconds=26 + { 2448535.50, 58.115709 }, //06 October 1991, UT1-UTC= 0.0682907, Accumulated Leap Seconds=26 + { 2448536.50, 58.118270 }, //07 October 1991, UT1-UTC= 0.0657297, Accumulated Leap Seconds=26 + { 2448537.50, 58.120733 }, //08 October 1991, UT1-UTC= 0.0632667, Accumulated Leap Seconds=26 + { 2448538.50, 58.123033 }, //09 October 1991, UT1-UTC= 0.0609668, Accumulated Leap Seconds=26 + { 2448539.50, 58.125128 }, //10 October 1991, UT1-UTC= 0.0588719, Accumulated Leap Seconds=26 + { 2448540.50, 58.127012 }, //11 October 1991, UT1-UTC= 0.0569879, Accumulated Leap Seconds=26 + { 2448541.50, 58.128712 }, //12 October 1991, UT1-UTC= 0.0552882, Accumulated Leap Seconds=26 + { 2448542.50, 58.130277 }, //13 October 1991, UT1-UTC= 0.0537235, Accumulated Leap Seconds=26 + { 2448543.50, 58.131760 }, //14 October 1991, UT1-UTC= 0.0522401, Accumulated Leap Seconds=26 + { 2448544.50, 58.133210 }, //15 October 1991, UT1-UTC= 0.0507904, Accumulated Leap Seconds=26 + { 2448545.50, 58.134678 }, //16 October 1991, UT1-UTC= 0.0493224, Accumulated Leap Seconds=26 + { 2448546.50, 58.136241 }, //17 October 1991, UT1-UTC= 0.0477593, Accumulated Leap Seconds=26 + { 2448547.50, 58.137961 }, //18 October 1991, UT1-UTC= 0.0460390, Accumulated Leap Seconds=26 + { 2448548.50, 58.139861 }, //19 October 1991, UT1-UTC= 0.0441385, Accumulated Leap Seconds=26 + { 2448549.50, 58.141936 }, //20 October 1991, UT1-UTC= 0.0420641, Accumulated Leap Seconds=26 + { 2448550.50, 58.144146 }, //21 October 1991, UT1-UTC= 0.0398538, Accumulated Leap Seconds=26 + { 2448551.50, 58.146428 }, //22 October 1991, UT1-UTC= 0.0375715, Accumulated Leap Seconds=26 + { 2448552.50, 58.148702 }, //23 October 1991, UT1-UTC= 0.0352978, Accumulated Leap Seconds=26 + { 2448553.50, 58.150898 }, //24 October 1991, UT1-UTC= 0.0331024, Accumulated Leap Seconds=26 + { 2448554.50, 58.152955 }, //25 October 1991, UT1-UTC= 0.0310446, Accumulated Leap Seconds=26 + { 2448555.50, 58.154882 }, //26 October 1991, UT1-UTC= 0.0291177, Accumulated Leap Seconds=26 + { 2448556.50, 58.156743 }, //27 October 1991, UT1-UTC= 0.0272569, Accumulated Leap Seconds=26 + { 2448557.50, 58.158636 }, //28 October 1991, UT1-UTC= 0.0253641, Accumulated Leap Seconds=26 + { 2448558.50, 58.160657 }, //29 October 1991, UT1-UTC= 0.0233431, Accumulated Leap Seconds=26 + { 2448559.50, 58.162871 }, //30 October 1991, UT1-UTC= 0.0211288, Accumulated Leap Seconds=26 + { 2448560.50, 58.165294 }, //31 October 1991, UT1-UTC= 0.0187057, Accumulated Leap Seconds=26 + { 2448561.50, 58.167913 }, //01 November 1991, UT1-UTC= 0.0160872, Accumulated Leap Seconds=26 + { 2448562.50, 58.170670 }, //02 November 1991, UT1-UTC= 0.0133297, Accumulated Leap Seconds=26 + { 2448563.50, 58.173467 }, //03 November 1991, UT1-UTC= 0.0105333, Accumulated Leap Seconds=26 + { 2448564.50, 58.176187 }, //04 November 1991, UT1-UTC= 0.0078135, Accumulated Leap Seconds=26 + { 2448565.50, 58.178732 }, //05 November 1991, UT1-UTC= 0.0052679, Accumulated Leap Seconds=26 + { 2448566.50, 58.181048 }, //06 November 1991, UT1-UTC= 0.0029516, Accumulated Leap Seconds=26 + { 2448567.50, 58.183146 }, //07 November 1991, UT1-UTC= 0.0008540, Accumulated Leap Seconds=26 + { 2448568.50, 58.185075 }, //08 November 1991, UT1-UTC=-0.0010755, Accumulated Leap Seconds=26 + { 2448569.50, 58.186908 }, //09 November 1991, UT1-UTC=-0.0029076, Accumulated Leap Seconds=26 + { 2448570.50, 58.188710 }, //10 November 1991, UT1-UTC=-0.0047103, Accumulated Leap Seconds=26 + { 2448571.50, 58.190544 }, //11 November 1991, UT1-UTC=-0.0065439, Accumulated Leap Seconds=26 + { 2448572.50, 58.192458 }, //12 November 1991, UT1-UTC=-0.0084584, Accumulated Leap Seconds=26 + { 2448573.50, 58.194491 }, //13 November 1991, UT1-UTC=-0.0104907, Accumulated Leap Seconds=26 + { 2448574.50, 58.196662 }, //14 November 1991, UT1-UTC=-0.0126622, Accumulated Leap Seconds=26 + { 2448575.50, 58.198985 }, //15 November 1991, UT1-UTC=-0.0149851, Accumulated Leap Seconds=26 + { 2448576.50, 58.201453 }, //16 November 1991, UT1-UTC=-0.0174530, Accumulated Leap Seconds=26 + { 2448577.50, 58.204037 }, //17 November 1991, UT1-UTC=-0.0200371, Accumulated Leap Seconds=26 + { 2448578.50, 58.206675 }, //18 November 1991, UT1-UTC=-0.0226747, Accumulated Leap Seconds=26 + { 2448579.50, 58.209285 }, //19 November 1991, UT1-UTC=-0.0252847, Accumulated Leap Seconds=26 + { 2448580.50, 58.211788 }, //20 November 1991, UT1-UTC=-0.0277885, Accumulated Leap Seconds=26 + { 2448581.50, 58.214135 }, //21 November 1991, UT1-UTC=-0.0301355, Accumulated Leap Seconds=26 + { 2448582.50, 58.216300 }, //22 November 1991, UT1-UTC=-0.0323002, Accumulated Leap Seconds=26 + { 2448583.50, 58.218330 }, //23 November 1991, UT1-UTC=-0.0343297, Accumulated Leap Seconds=26 + { 2448584.50, 58.220335 }, //24 November 1991, UT1-UTC=-0.0363352, Accumulated Leap Seconds=26 + { 2448585.50, 58.222449 }, //25 November 1991, UT1-UTC=-0.0384490, Accumulated Leap Seconds=26 + { 2448586.50, 58.224779 }, //26 November 1991, UT1-UTC=-0.0407792, Accumulated Leap Seconds=26 + { 2448587.50, 58.227372 }, //27 November 1991, UT1-UTC=-0.0433718, Accumulated Leap Seconds=26 + { 2448588.50, 58.230181 }, //28 November 1991, UT1-UTC=-0.0461809, Accumulated Leap Seconds=26 + { 2448589.50, 58.233110 }, //29 November 1991, UT1-UTC=-0.0491102, Accumulated Leap Seconds=26 + { 2448590.50, 58.236053 }, //30 November 1991, UT1-UTC=-0.0520528, Accumulated Leap Seconds=26 + { 2448591.50, 58.238909 }, //01 December 1991, UT1-UTC=-0.0549092, Accumulated Leap Seconds=26 + { 2448592.50, 58.241604 }, //02 December 1991, UT1-UTC=-0.0576043, Accumulated Leap Seconds=26 + { 2448593.50, 58.244096 }, //03 December 1991, UT1-UTC=-0.0600957, Accumulated Leap Seconds=26 + { 2448594.50, 58.246382 }, //04 December 1991, UT1-UTC=-0.0623817, Accumulated Leap Seconds=26 + { 2448595.50, 58.248489 }, //05 December 1991, UT1-UTC=-0.0644891, Accumulated Leap Seconds=26 + { 2448596.50, 58.250470 }, //06 December 1991, UT1-UTC=-0.0664703, Accumulated Leap Seconds=26 + { 2448597.50, 58.252383 }, //07 December 1991, UT1-UTC=-0.0683827, Accumulated Leap Seconds=26 + { 2448598.50, 58.254290 }, //08 December 1991, UT1-UTC=-0.0702903, Accumulated Leap Seconds=26 + { 2448599.50, 58.256252 }, //09 December 1991, UT1-UTC=-0.0722516, Accumulated Leap Seconds=26 + { 2448600.50, 58.258313 }, //10 December 1991, UT1-UTC=-0.0743130, Accumulated Leap Seconds=26 + { 2448601.50, 58.260505 }, //11 December 1991, UT1-UTC=-0.0765048, Accumulated Leap Seconds=26 + { 2448602.50, 58.262835 }, //12 December 1991, UT1-UTC=-0.0788346, Accumulated Leap Seconds=26 + { 2448603.50, 58.265287 }, //13 December 1991, UT1-UTC=-0.0812872, Accumulated Leap Seconds=26 + { 2448604.50, 58.267833 }, //14 December 1991, UT1-UTC=-0.0838333, Accumulated Leap Seconds=26 + { 2448605.50, 58.270432 }, //15 December 1991, UT1-UTC=-0.0864317, Accumulated Leap Seconds=26 + { 2448606.50, 58.273032 }, //16 December 1991, UT1-UTC=-0.0890322, Accumulated Leap Seconds=26 + { 2448607.50, 58.275570 }, //17 December 1991, UT1-UTC=-0.0915699, Accumulated Leap Seconds=26 + { 2448608.50, 58.277984 }, //18 December 1991, UT1-UTC=-0.0939843, Accumulated Leap Seconds=26 + { 2448609.50, 58.280224 }, //19 December 1991, UT1-UTC=-0.0962239, Accumulated Leap Seconds=26 + { 2448610.50, 58.282266 }, //20 December 1991, UT1-UTC=-0.0982662, Accumulated Leap Seconds=26 + { 2448611.50, 58.284179 }, //21 December 1991, UT1-UTC=-0.1001794, Accumulated Leap Seconds=26 + { 2448612.50, 58.286094 }, //22 December 1991, UT1-UTC=-0.1020941, Accumulated Leap Seconds=26 + { 2448613.50, 58.288129 }, //23 December 1991, UT1-UTC=-0.1041286, Accumulated Leap Seconds=26 + { 2448614.50, 58.290354 }, //24 December 1991, UT1-UTC=-0.1063544, Accumulated Leap Seconds=26 + { 2448615.50, 58.292780 }, //25 December 1991, UT1-UTC=-0.1087801, Accumulated Leap Seconds=26 + { 2448616.50, 58.295350 }, //26 December 1991, UT1-UTC=-0.1113499, Accumulated Leap Seconds=26 + { 2448617.50, 58.297968 }, //27 December 1991, UT1-UTC=-0.1139684, Accumulated Leap Seconds=26 + { 2448618.50, 58.300535 }, //28 December 1991, UT1-UTC=-0.1165351, Accumulated Leap Seconds=26 + { 2448619.50, 58.302964 }, //29 December 1991, UT1-UTC=-0.1189640, Accumulated Leap Seconds=26 + { 2448620.50, 58.305210 }, //30 December 1991, UT1-UTC=-0.1212098, Accumulated Leap Seconds=26 + { 2448621.50, 58.307268 }, //31 December 1991, UT1-UTC=-0.1232681, Accumulated Leap Seconds=26 + { 2448622.50, 58.309166 }, //01 January 1992, UT1-UTC=-0.1251659, Accumulated Leap Seconds=26 + { 2448623.50, 58.310955 }, //02 January 1992, UT1-UTC=-0.1269551, Accumulated Leap Seconds=26 + { 2448624.50, 58.312700 }, //03 January 1992, UT1-UTC=-0.1286996, Accumulated Leap Seconds=26 + { 2448625.50, 58.314467 }, //04 January 1992, UT1-UTC=-0.1304668, Accumulated Leap Seconds=26 + { 2448626.50, 58.316317 }, //05 January 1992, UT1-UTC=-0.1323166, Accumulated Leap Seconds=26 + { 2448627.50, 58.318296 }, //06 January 1992, UT1-UTC=-0.1342957, Accumulated Leap Seconds=26 + { 2448628.50, 58.320432 }, //07 January 1992, UT1-UTC=-0.1364324, Accumulated Leap Seconds=26 + { 2448629.50, 58.322734 }, //08 January 1992, UT1-UTC=-0.1387344, Accumulated Leap Seconds=26 + { 2448630.50, 58.325186 }, //09 January 1992, UT1-UTC=-0.1411861, Accumulated Leap Seconds=26 + { 2448631.50, 58.327759 }, //10 January 1992, UT1-UTC=-0.1437590, Accumulated Leap Seconds=26 + { 2448632.50, 58.330411 }, //11 January 1992, UT1-UTC=-0.1464111, Accumulated Leap Seconds=26 + { 2448633.50, 58.333084 }, //12 January 1992, UT1-UTC=-0.1490836, Accumulated Leap Seconds=26 + { 2448634.50, 58.335712 }, //13 January 1992, UT1-UTC=-0.1517124, Accumulated Leap Seconds=26 + { 2448635.50, 58.338237 }, //14 January 1992, UT1-UTC=-0.1542371, Accumulated Leap Seconds=26 + { 2448636.50, 58.340618 }, //15 January 1992, UT1-UTC=-0.1566178, Accumulated Leap Seconds=26 + { 2448637.50, 58.342864 }, //16 January 1992, UT1-UTC=-0.1588645, Accumulated Leap Seconds=26 + { 2448638.50, 58.345030 }, //17 January 1992, UT1-UTC=-0.1610304, Accumulated Leap Seconds=26 + { 2448639.50, 58.347213 }, //18 January 1992, UT1-UTC=-0.1632132, Accumulated Leap Seconds=26 + { 2448640.50, 58.349538 }, //19 January 1992, UT1-UTC=-0.1655376, Accumulated Leap Seconds=26 + { 2448641.50, 58.352107 }, //20 January 1992, UT1-UTC=-0.1681073, Accumulated Leap Seconds=26 + { 2448642.50, 58.354965 }, //21 January 1992, UT1-UTC=-0.1709648, Accumulated Leap Seconds=26 + { 2448643.50, 58.358059 }, //22 January 1992, UT1-UTC=-0.1740592, Accumulated Leap Seconds=26 + { 2448644.50, 58.361249 }, //23 January 1992, UT1-UTC=-0.1772490, Accumulated Leap Seconds=26 + { 2448645.50, 58.364386 }, //24 January 1992, UT1-UTC=-0.1803857, Accumulated Leap Seconds=26 + { 2448646.50, 58.367349 }, //25 January 1992, UT1-UTC=-0.1833489, Accumulated Leap Seconds=26 + { 2448647.50, 58.370078 }, //26 January 1992, UT1-UTC=-0.1860775, Accumulated Leap Seconds=26 + { 2448648.50, 58.372566 }, //27 January 1992, UT1-UTC=-0.1885657, Accumulated Leap Seconds=26 + { 2448649.50, 58.374847 }, //28 January 1992, UT1-UTC=-0.1908472, Accumulated Leap Seconds=26 + { 2448650.50, 58.376986 }, //29 January 1992, UT1-UTC=-0.1929856, Accumulated Leap Seconds=26 + { 2448651.50, 58.379068 }, //30 January 1992, UT1-UTC=-0.1950680, Accumulated Leap Seconds=26 + { 2448652.50, 58.381156 }, //31 January 1992, UT1-UTC=-0.1971564, Accumulated Leap Seconds=26 + { 2448653.50, 58.383302 }, //01 February 1992, UT1-UTC=-0.1993021, Accumulated Leap Seconds=26 + { 2448654.50, 58.385542 }, //02 February 1992, UT1-UTC=-0.2015417, Accumulated Leap Seconds=26 + { 2448655.50, 58.387897 }, //03 February 1992, UT1-UTC=-0.2038971, Accumulated Leap Seconds=26 + { 2448656.50, 58.390371 }, //04 February 1992, UT1-UTC=-0.2063706, Accumulated Leap Seconds=26 + { 2448657.50, 58.392953 }, //05 February 1992, UT1-UTC=-0.2089529, Accumulated Leap Seconds=26 + { 2448658.50, 58.395645 }, //06 February 1992, UT1-UTC=-0.2116447, Accumulated Leap Seconds=26 + { 2448659.50, 58.398410 }, //07 February 1992, UT1-UTC=-0.2144096, Accumulated Leap Seconds=26 + { 2448660.50, 58.401189 }, //08 February 1992, UT1-UTC=-0.2171890, Accumulated Leap Seconds=26 + { 2448661.50, 58.403904 }, //09 February 1992, UT1-UTC=-0.2199043, Accumulated Leap Seconds=26 + { 2448662.50, 58.406493 }, //10 February 1992, UT1-UTC=-0.2224926, Accumulated Leap Seconds=26 + { 2448663.50, 58.408912 }, //11 February 1992, UT1-UTC=-0.2249119, Accumulated Leap Seconds=26 + { 2448664.50, 58.411153 }, //12 February 1992, UT1-UTC=-0.2271526, Accumulated Leap Seconds=26 + { 2448665.50, 58.413251 }, //13 February 1992, UT1-UTC=-0.2292510, Accumulated Leap Seconds=26 + { 2448666.50, 58.415285 }, //14 February 1992, UT1-UTC=-0.2312855, Accumulated Leap Seconds=26 + { 2448667.50, 58.417365 }, //15 February 1992, UT1-UTC=-0.2333649, Accumulated Leap Seconds=26 + { 2448668.50, 58.419606 }, //16 February 1992, UT1-UTC=-0.2356063, Accumulated Leap Seconds=26 + { 2448669.50, 58.422091 }, //17 February 1992, UT1-UTC=-0.2380910, Accumulated Leap Seconds=26 + { 2448670.50, 58.424832 }, //18 February 1992, UT1-UTC=-0.2408320, Accumulated Leap Seconds=26 + { 2448671.50, 58.427764 }, //19 February 1992, UT1-UTC=-0.2437644, Accumulated Leap Seconds=26 + { 2448672.50, 58.430765 }, //20 February 1992, UT1-UTC=-0.2467653, Accumulated Leap Seconds=26 + { 2448673.50, 58.433694 }, //21 February 1992, UT1-UTC=-0.2496941, Accumulated Leap Seconds=26 + { 2448674.50, 58.436446 }, //22 February 1992, UT1-UTC=-0.2524464, Accumulated Leap Seconds=26 + { 2448675.50, 58.438985 }, //23 February 1992, UT1-UTC=-0.2549854, Accumulated Leap Seconds=26 + { 2448676.50, 58.441321 }, //24 February 1992, UT1-UTC=-0.2573213, Accumulated Leap Seconds=26 + { 2448677.50, 58.443500 }, //25 February 1992, UT1-UTC=-0.2594998, Accumulated Leap Seconds=26 + { 2448678.50, 58.445576 }, //26 February 1992, UT1-UTC=-0.2615761, Accumulated Leap Seconds=26 + { 2448679.50, 58.447575 }, //27 February 1992, UT1-UTC=-0.2635749, Accumulated Leap Seconds=26 + { 2448680.50, 58.449550 }, //28 February 1992, UT1-UTC=-0.2655501, Accumulated Leap Seconds=26 + { 2448681.50, 58.451561 }, //29 February 1992, UT1-UTC=-0.2675607, Accumulated Leap Seconds=26 + { 2448682.50, 58.453675 }, //01 March 1992, UT1-UTC=-0.2696748, Accumulated Leap Seconds=26 + { 2448683.50, 58.455944 }, //02 March 1992, UT1-UTC=-0.2719443, Accumulated Leap Seconds=26 + { 2448684.50, 58.458393 }, //03 March 1992, UT1-UTC=-0.2743931, Accumulated Leap Seconds=26 + { 2448685.50, 58.461016 }, //04 March 1992, UT1-UTC=-0.2770161, Accumulated Leap Seconds=26 + { 2448686.50, 58.463775 }, //05 March 1992, UT1-UTC=-0.2797752, Accumulated Leap Seconds=26 + { 2448687.50, 58.466608 }, //06 March 1992, UT1-UTC=-0.2826080, Accumulated Leap Seconds=26 + { 2448688.50, 58.469447 }, //07 March 1992, UT1-UTC=-0.2854469, Accumulated Leap Seconds=26 + { 2448689.50, 58.472230 }, //08 March 1992, UT1-UTC=-0.2882303, Accumulated Leap Seconds=26 + { 2448690.50, 58.474900 }, //09 March 1992, UT1-UTC=-0.2909004, Accumulated Leap Seconds=26 + { 2448691.50, 58.477422 }, //10 March 1992, UT1-UTC=-0.2934216, Accumulated Leap Seconds=26 + { 2448692.50, 58.479821 }, //11 March 1992, UT1-UTC=-0.2958209, Accumulated Leap Seconds=26 + { 2448693.50, 58.482213 }, //12 March 1992, UT1-UTC=-0.2982133, Accumulated Leap Seconds=26 + { 2448694.50, 58.484698 }, //13 March 1992, UT1-UTC=-0.3006978, Accumulated Leap Seconds=26 + { 2448695.50, 58.487367 }, //14 March 1992, UT1-UTC=-0.3033668, Accumulated Leap Seconds=26 + { 2448696.50, 58.490286 }, //15 March 1992, UT1-UTC=-0.3062863, Accumulated Leap Seconds=26 + { 2448697.50, 58.493485 }, //16 March 1992, UT1-UTC=-0.3094850, Accumulated Leap Seconds=26 + { 2448698.50, 58.496922 }, //17 March 1992, UT1-UTC=-0.3129225, Accumulated Leap Seconds=26 + { 2448699.50, 58.500492 }, //18 March 1992, UT1-UTC=-0.3164923, Accumulated Leap Seconds=26 + { 2448700.50, 58.504053 }, //19 March 1992, UT1-UTC=-0.3200528, Accumulated Leap Seconds=26 + { 2448701.50, 58.507473 }, //20 March 1992, UT1-UTC=-0.3234726, Accumulated Leap Seconds=26 + { 2448702.50, 58.510669 }, //21 March 1992, UT1-UTC=-0.3266688, Accumulated Leap Seconds=26 + { 2448703.50, 58.513610 }, //22 March 1992, UT1-UTC=-0.3296101, Accumulated Leap Seconds=26 + { 2448704.50, 58.516329 }, //23 March 1992, UT1-UTC=-0.3323293, Accumulated Leap Seconds=26 + { 2448705.50, 58.518894 }, //24 March 1992, UT1-UTC=-0.3348943, Accumulated Leap Seconds=26 + { 2448706.50, 58.521378 }, //25 March 1992, UT1-UTC=-0.3373785, Accumulated Leap Seconds=26 + { 2448707.50, 58.523839 }, //26 March 1992, UT1-UTC=-0.3398387, Accumulated Leap Seconds=26 + { 2448708.50, 58.526320 }, //27 March 1992, UT1-UTC=-0.3423203, Accumulated Leap Seconds=26 + { 2448709.50, 58.528861 }, //28 March 1992, UT1-UTC=-0.3448609, Accumulated Leap Seconds=26 + { 2448710.50, 58.531502 }, //29 March 1992, UT1-UTC=-0.3475017, Accumulated Leap Seconds=26 + { 2448711.50, 58.534267 }, //30 March 1992, UT1-UTC=-0.3502671, Accumulated Leap Seconds=26 + { 2448712.50, 58.537156 }, //31 March 1992, UT1-UTC=-0.3531561, Accumulated Leap Seconds=26 + { 2448713.50, 58.540144 }, //01 April 1992, UT1-UTC=-0.3561438, Accumulated Leap Seconds=26 + { 2448714.50, 58.543178 }, //02 April 1992, UT1-UTC=-0.3591784, Accumulated Leap Seconds=26 + { 2448715.50, 58.546194 }, //03 April 1992, UT1-UTC=-0.3621936, Accumulated Leap Seconds=26 + { 2448716.50, 58.549123 }, //04 April 1992, UT1-UTC=-0.3651228, Accumulated Leap Seconds=26 + { 2448717.50, 58.551915 }, //05 April 1992, UT1-UTC=-0.3679150, Accumulated Leap Seconds=26 + { 2448718.50, 58.554545 }, //06 April 1992, UT1-UTC=-0.3705455, Accumulated Leap Seconds=26 + { 2448719.50, 58.557025 }, //07 April 1992, UT1-UTC=-0.3730252, Accumulated Leap Seconds=26 + { 2448720.50, 58.559407 }, //08 April 1992, UT1-UTC=-0.3754075, Accumulated Leap Seconds=26 + { 2448721.50, 58.561786 }, //09 April 1992, UT1-UTC=-0.3777861, Accumulated Leap Seconds=26 + { 2448722.50, 58.564266 }, //10 April 1992, UT1-UTC=-0.3802656, Accumulated Leap Seconds=26 + { 2448723.50, 58.566937 }, //11 April 1992, UT1-UTC=-0.3829367, Accumulated Leap Seconds=26 + { 2448724.50, 58.569861 }, //12 April 1992, UT1-UTC=-0.3858606, Accumulated Leap Seconds=26 + { 2448725.50, 58.573045 }, //13 April 1992, UT1-UTC=-0.3890452, Accumulated Leap Seconds=26 + { 2448726.50, 58.576442 }, //14 April 1992, UT1-UTC=-0.3924419, Accumulated Leap Seconds=26 + { 2448727.50, 58.579952 }, //15 April 1992, UT1-UTC=-0.3959518, Accumulated Leap Seconds=26 + { 2448728.50, 58.583432 }, //16 April 1992, UT1-UTC=-0.3994317, Accumulated Leap Seconds=26 + { 2448729.50, 58.586740 }, //17 April 1992, UT1-UTC=-0.4027396, Accumulated Leap Seconds=26 + { 2448730.50, 58.589793 }, //18 April 1992, UT1-UTC=-0.4057934, Accumulated Leap Seconds=26 + { 2448731.50, 58.592573 }, //19 April 1992, UT1-UTC=-0.4085728, Accumulated Leap Seconds=26 + { 2448732.50, 58.595109 }, //20 April 1992, UT1-UTC=-0.4111091, Accumulated Leap Seconds=26 + { 2448733.50, 58.597464 }, //21 April 1992, UT1-UTC=-0.4134637, Accumulated Leap Seconds=26 + { 2448734.50, 58.599714 }, //22 April 1992, UT1-UTC=-0.4157139, Accumulated Leap Seconds=26 + { 2448735.50, 58.601955 }, //23 April 1992, UT1-UTC=-0.4179547, Accumulated Leap Seconds=26 + { 2448736.50, 58.604252 }, //24 April 1992, UT1-UTC=-0.4202520, Accumulated Leap Seconds=26 + { 2448737.50, 58.606648 }, //25 April 1992, UT1-UTC=-0.4226478, Accumulated Leap Seconds=26 + { 2448738.50, 58.609167 }, //26 April 1992, UT1-UTC=-0.4251665, Accumulated Leap Seconds=26 + { 2448739.50, 58.611807 }, //27 April 1992, UT1-UTC=-0.4278073, Accumulated Leap Seconds=26 + { 2448740.50, 58.614546 }, //28 April 1992, UT1-UTC=-0.4305458, Accumulated Leap Seconds=26 + { 2448741.50, 58.617334 }, //29 April 1992, UT1-UTC=-0.4333345, Accumulated Leap Seconds=26 + { 2448742.50, 58.620099 }, //30 April 1992, UT1-UTC=-0.4360990, Accumulated Leap Seconds=26 + { 2448743.50, 58.622771 }, //01 May 1992, UT1-UTC=-0.4387714, Accumulated Leap Seconds=26 + { 2448744.50, 58.625294 }, //02 May 1992, UT1-UTC=-0.4412945, Accumulated Leap Seconds=26 + { 2448745.50, 58.627637 }, //03 May 1992, UT1-UTC=-0.4436372, Accumulated Leap Seconds=26 + { 2448746.50, 58.629805 }, //04 May 1992, UT1-UTC=-0.4458046, Accumulated Leap Seconds=26 + { 2448747.50, 58.631842 }, //05 May 1992, UT1-UTC=-0.4478419, Accumulated Leap Seconds=26 + { 2448748.50, 58.633829 }, //06 May 1992, UT1-UTC=-0.4498295, Accumulated Leap Seconds=26 + { 2448749.50, 58.635867 }, //07 May 1992, UT1-UTC=-0.4518668, Accumulated Leap Seconds=26 + { 2448750.50, 58.638054 }, //08 May 1992, UT1-UTC=-0.4540540, Accumulated Leap Seconds=26 + { 2448751.50, 58.640452 }, //09 May 1992, UT1-UTC=-0.4564523, Accumulated Leap Seconds=26 + { 2448752.50, 58.643058 }, //10 May 1992, UT1-UTC=-0.4590577, Accumulated Leap Seconds=26 + { 2448753.50, 58.645812 }, //11 May 1992, UT1-UTC=-0.4618123, Accumulated Leap Seconds=26 + { 2448754.50, 58.648618 }, //12 May 1992, UT1-UTC=-0.4646183, Accumulated Leap Seconds=26 + { 2448755.50, 58.651373 }, //13 May 1992, UT1-UTC=-0.4673732, Accumulated Leap Seconds=26 + { 2448756.50, 58.654011 }, //14 May 1992, UT1-UTC=-0.4700106, Accumulated Leap Seconds=26 + { 2448757.50, 58.656464 }, //15 May 1992, UT1-UTC=-0.4724640, Accumulated Leap Seconds=26 + { 2448758.50, 58.658703 }, //16 May 1992, UT1-UTC=-0.4747028, Accumulated Leap Seconds=26 + { 2448759.50, 58.660752 }, //17 May 1992, UT1-UTC=-0.4767517, Accumulated Leap Seconds=26 + { 2448760.50, 58.662672 }, //18 May 1992, UT1-UTC=-0.4786725, Accumulated Leap Seconds=26 + { 2448761.50, 58.664543 }, //19 May 1992, UT1-UTC=-0.4805432, Accumulated Leap Seconds=26 + { 2448762.50, 58.666439 }, //20 May 1992, UT1-UTC=-0.4824386, Accumulated Leap Seconds=26 + { 2448763.50, 58.668407 }, //21 May 1992, UT1-UTC=-0.4844067, Accumulated Leap Seconds=26 + { 2448764.50, 58.670467 }, //22 May 1992, UT1-UTC=-0.4864668, Accumulated Leap Seconds=26 + { 2448765.50, 58.672613 }, //23 May 1992, UT1-UTC=-0.4886132, Accumulated Leap Seconds=26 + { 2448766.50, 58.674852 }, //24 May 1992, UT1-UTC=-0.4908520, Accumulated Leap Seconds=26 + { 2448767.50, 58.677169 }, //25 May 1992, UT1-UTC=-0.4931688, Accumulated Leap Seconds=26 + { 2448768.50, 58.679531 }, //26 May 1992, UT1-UTC=-0.4955306, Accumulated Leap Seconds=26 + { 2448769.50, 58.681887 }, //27 May 1992, UT1-UTC=-0.4978871, Accumulated Leap Seconds=26 + { 2448770.50, 58.684165 }, //28 May 1992, UT1-UTC=-0.5001655, Accumulated Leap Seconds=26 + { 2448771.50, 58.686299 }, //29 May 1992, UT1-UTC=-0.5022989, Accumulated Leap Seconds=26 + { 2448772.50, 58.688262 }, //30 May 1992, UT1-UTC=-0.5042618, Accumulated Leap Seconds=26 + { 2448773.50, 58.690045 }, //31 May 1992, UT1-UTC=-0.5060453, Accumulated Leap Seconds=26 + { 2448774.50, 58.691666 }, //01 June 1992, UT1-UTC=-0.5076662, Accumulated Leap Seconds=26 + { 2448775.50, 58.693196 }, //02 June 1992, UT1-UTC=-0.5091957, Accumulated Leap Seconds=26 + { 2448776.50, 58.694734 }, //03 June 1992, UT1-UTC=-0.5107342, Accumulated Leap Seconds=26 + { 2448777.50, 58.696388 }, //04 June 1992, UT1-UTC=-0.5123885, Accumulated Leap Seconds=26 + { 2448778.50, 58.698229 }, //05 June 1992, UT1-UTC=-0.5142293, Accumulated Leap Seconds=26 + { 2448779.50, 58.700260 }, //06 June 1992, UT1-UTC=-0.5162599, Accumulated Leap Seconds=26 + { 2448780.50, 58.702426 }, //07 June 1992, UT1-UTC=-0.5184265, Accumulated Leap Seconds=26 + { 2448781.50, 58.704636 }, //08 June 1992, UT1-UTC=-0.5206362, Accumulated Leap Seconds=26 + { 2448782.50, 58.706786 }, //09 June 1992, UT1-UTC=-0.5227857, Accumulated Leap Seconds=26 + { 2448783.50, 58.708794 }, //10 June 1992, UT1-UTC=-0.5247940, Accumulated Leap Seconds=26 + { 2448784.50, 58.710619 }, //11 June 1992, UT1-UTC=-0.5266195, Accumulated Leap Seconds=26 + { 2448785.50, 58.712255 }, //12 June 1992, UT1-UTC=-0.5282551, Accumulated Leap Seconds=26 + { 2448786.50, 58.713729 }, //13 June 1992, UT1-UTC=-0.5297292, Accumulated Leap Seconds=26 + { 2448787.50, 58.715095 }, //14 June 1992, UT1-UTC=-0.5310955, Accumulated Leap Seconds=26 + { 2448788.50, 58.716414 }, //15 June 1992, UT1-UTC=-0.5324140, Accumulated Leap Seconds=26 + { 2448789.50, 58.717739 }, //16 June 1992, UT1-UTC=-0.5337391, Accumulated Leap Seconds=26 + { 2448790.50, 58.719116 }, //17 June 1992, UT1-UTC=-0.5351158, Accumulated Leap Seconds=26 + { 2448791.50, 58.720576 }, //18 June 1992, UT1-UTC=-0.5365763, Accumulated Leap Seconds=26 + { 2448792.50, 58.722141 }, //19 June 1992, UT1-UTC=-0.5381414, Accumulated Leap Seconds=26 + { 2448793.50, 58.723818 }, //20 June 1992, UT1-UTC=-0.5398179, Accumulated Leap Seconds=26 + { 2448794.50, 58.725602 }, //21 June 1992, UT1-UTC=-0.5416018, Accumulated Leap Seconds=26 + { 2448795.50, 58.727459 }, //22 June 1992, UT1-UTC=-0.5434588, Accumulated Leap Seconds=26 + { 2448796.50, 58.729339 }, //23 June 1992, UT1-UTC=-0.5453387, Accumulated Leap Seconds=26 + { 2448797.50, 58.731186 }, //24 June 1992, UT1-UTC=-0.5471858, Accumulated Leap Seconds=26 + { 2448798.50, 58.732944 }, //25 June 1992, UT1-UTC=-0.5489437, Accumulated Leap Seconds=26 + { 2448799.50, 58.734569 }, //26 June 1992, UT1-UTC=-0.5505692, Accumulated Leap Seconds=26 + { 2448800.50, 58.736037 }, //27 June 1992, UT1-UTC=-0.5520372, Accumulated Leap Seconds=26 + { 2448801.50, 58.737350 }, //28 June 1992, UT1-UTC=-0.5533501, Accumulated Leap Seconds=26 + { 2448802.50, 58.738551 }, //29 June 1992, UT1-UTC=-0.5545515, Accumulated Leap Seconds=26 + { 2448803.50, 58.739722 }, //30 June 1992, UT1-UTC=-0.5557222, Accumulated Leap Seconds=26 + { 2448804.50, 58.740963 }, //01 July 1992, UT1-UTC= 0.4430372, Accumulated Leap Seconds=27 + { 2448805.50, 58.742335 }, //02 July 1992, UT1-UTC= 0.4416653, Accumulated Leap Seconds=27 + { 2448806.50, 58.743884 }, //03 July 1992, UT1-UTC= 0.4401162, Accumulated Leap Seconds=27 + { 2448807.50, 58.745596 }, //04 July 1992, UT1-UTC= 0.4384035, Accumulated Leap Seconds=27 + { 2448808.50, 58.747389 }, //05 July 1992, UT1-UTC= 0.4366113, Accumulated Leap Seconds=27 + { 2448809.50, 58.749147 }, //06 July 1992, UT1-UTC= 0.4348529, Accumulated Leap Seconds=27 + { 2448810.50, 58.750774 }, //07 July 1992, UT1-UTC= 0.4332264, Accumulated Leap Seconds=27 + { 2448811.50, 58.752214 }, //08 July 1992, UT1-UTC= 0.4317857, Accumulated Leap Seconds=27 + { 2448812.50, 58.753454 }, //09 July 1992, UT1-UTC= 0.4305456, Accumulated Leap Seconds=27 + { 2448813.50, 58.754511 }, //10 July 1992, UT1-UTC= 0.4294894, Accumulated Leap Seconds=27 + { 2448814.50, 58.755440 }, //11 July 1992, UT1-UTC= 0.4285595, Accumulated Leap Seconds=27 + { 2448815.50, 58.756301 }, //12 July 1992, UT1-UTC= 0.4276994, Accumulated Leap Seconds=27 + { 2448816.50, 58.757143 }, //13 July 1992, UT1-UTC= 0.4268572, Accumulated Leap Seconds=27 + { 2448817.50, 58.758013 }, //14 July 1992, UT1-UTC= 0.4259871, Accumulated Leap Seconds=27 + { 2448818.50, 58.758962 }, //15 July 1992, UT1-UTC= 0.4250377, Accumulated Leap Seconds=27 + { 2448819.50, 58.760036 }, //16 July 1992, UT1-UTC= 0.4239636, Accumulated Leap Seconds=27 + { 2448820.50, 58.761250 }, //17 July 1992, UT1-UTC= 0.4227496, Accumulated Leap Seconds=27 + { 2448821.50, 58.762591 }, //18 July 1992, UT1-UTC= 0.4214089, Accumulated Leap Seconds=27 + { 2448822.50, 58.764036 }, //19 July 1992, UT1-UTC= 0.4199636, Accumulated Leap Seconds=27 + { 2448823.50, 58.765554 }, //20 July 1992, UT1-UTC= 0.4184461, Accumulated Leap Seconds=27 + { 2448824.50, 58.767103 }, //21 July 1992, UT1-UTC= 0.4168969, Accumulated Leap Seconds=27 + { 2448825.50, 58.768643 }, //22 July 1992, UT1-UTC= 0.4153569, Accumulated Leap Seconds=27 + { 2448826.50, 58.770133 }, //23 July 1992, UT1-UTC= 0.4138666, Accumulated Leap Seconds=27 + { 2448827.50, 58.771544 }, //24 July 1992, UT1-UTC= 0.4124558, Accumulated Leap Seconds=27 + { 2448828.50, 58.772865 }, //25 July 1992, UT1-UTC= 0.4111349, Accumulated Leap Seconds=27 + { 2448829.50, 58.774117 }, //26 July 1992, UT1-UTC= 0.4098831, Accumulated Leap Seconds=27 + { 2448830.50, 58.775354 }, //27 July 1992, UT1-UTC= 0.4086463, Accumulated Leap Seconds=27 + { 2448831.50, 58.776641 }, //28 July 1992, UT1-UTC= 0.4073591, Accumulated Leap Seconds=27 + { 2448832.50, 58.778059 }, //29 July 1992, UT1-UTC= 0.4059414, Accumulated Leap Seconds=27 + { 2448833.50, 58.779690 }, //30 July 1992, UT1-UTC= 0.4043098, Accumulated Leap Seconds=27 + { 2448834.50, 58.781560 }, //31 July 1992, UT1-UTC= 0.4024395, Accumulated Leap Seconds=27 + { 2448835.50, 58.783619 }, //01 August 1992, UT1-UTC= 0.4003811, Accumulated Leap Seconds=27 + { 2448836.50, 58.785760 }, //02 August 1992, UT1-UTC= 0.3982402, Accumulated Leap Seconds=27 + { 2448837.50, 58.787856 }, //03 August 1992, UT1-UTC= 0.3961444, Accumulated Leap Seconds=27 + { 2448838.50, 58.789802 }, //04 August 1992, UT1-UTC= 0.3941976, Accumulated Leap Seconds=27 + { 2448839.50, 58.791542 }, //05 August 1992, UT1-UTC= 0.3924582, Accumulated Leap Seconds=27 + { 2448840.50, 58.793100 }, //06 August 1992, UT1-UTC= 0.3909000, Accumulated Leap Seconds=27 + { 2448841.50, 58.794493 }, //07 August 1992, UT1-UTC= 0.3895066, Accumulated Leap Seconds=27 + { 2448842.50, 58.795766 }, //08 August 1992, UT1-UTC= 0.3882335, Accumulated Leap Seconds=27 + { 2448843.50, 58.796969 }, //09 August 1992, UT1-UTC= 0.3870313, Accumulated Leap Seconds=27 + { 2448844.50, 58.798157 }, //10 August 1992, UT1-UTC= 0.3858431, Accumulated Leap Seconds=27 + { 2448845.50, 58.799395 }, //11 August 1992, UT1-UTC= 0.3846046, Accumulated Leap Seconds=27 + { 2448846.50, 58.800792 }, //12 August 1992, UT1-UTC= 0.3832084, Accumulated Leap Seconds=27 + { 2448847.50, 58.802384 }, //13 August 1992, UT1-UTC= 0.3816163, Accumulated Leap Seconds=27 + { 2448848.50, 58.804139 }, //14 August 1992, UT1-UTC= 0.3798610, Accumulated Leap Seconds=27 + { 2448849.50, 58.805999 }, //15 August 1992, UT1-UTC= 0.3780014, Accumulated Leap Seconds=27 + { 2448850.50, 58.807909 }, //16 August 1992, UT1-UTC= 0.3760911, Accumulated Leap Seconds=27 + { 2448851.50, 58.809820 }, //17 August 1992, UT1-UTC= 0.3741799, Accumulated Leap Seconds=27 + { 2448852.50, 58.811688 }, //18 August 1992, UT1-UTC= 0.3723119, Accumulated Leap Seconds=27 + { 2448853.50, 58.813486 }, //19 August 1992, UT1-UTC= 0.3705135, Accumulated Leap Seconds=27 + { 2448854.50, 58.815210 }, //20 August 1992, UT1-UTC= 0.3687900, Accumulated Leap Seconds=27 + { 2448855.50, 58.816856 }, //21 August 1992, UT1-UTC= 0.3671439, Accumulated Leap Seconds=27 + { 2448856.50, 58.818444 }, //22 August 1992, UT1-UTC= 0.3655557, Accumulated Leap Seconds=27 + { 2448857.50, 58.820023 }, //23 August 1992, UT1-UTC= 0.3639766, Accumulated Leap Seconds=27 + { 2448858.50, 58.821665 }, //24 August 1992, UT1-UTC= 0.3623345, Accumulated Leap Seconds=27 + { 2448859.50, 58.823450 }, //25 August 1992, UT1-UTC= 0.3605495, Accumulated Leap Seconds=27 + { 2448860.50, 58.825458 }, //26 August 1992, UT1-UTC= 0.3585419, Accumulated Leap Seconds=27 + { 2448861.50, 58.827750 }, //27 August 1992, UT1-UTC= 0.3562497, Accumulated Leap Seconds=27 + { 2448862.50, 58.830314 }, //28 August 1992, UT1-UTC= 0.3536861, Accumulated Leap Seconds=27 + { 2448863.50, 58.833040 }, //29 August 1992, UT1-UTC= 0.3509602, Accumulated Leap Seconds=27 + { 2448864.50, 58.835761 }, //30 August 1992, UT1-UTC= 0.3482388, Accumulated Leap Seconds=27 + { 2448865.50, 58.838306 }, //31 August 1992, UT1-UTC= 0.3456935, Accumulated Leap Seconds=27 + { 2448866.50, 58.840554 }, //01 September 1992, UT1-UTC= 0.3434457, Accumulated Leap Seconds=27 + { 2448867.50, 58.842477 }, //02 September 1992, UT1-UTC= 0.3415226, Accumulated Leap Seconds=27 + { 2448868.50, 58.844138 }, //03 September 1992, UT1-UTC= 0.3398621, Accumulated Leap Seconds=27 + { 2448869.50, 58.845614 }, //04 September 1992, UT1-UTC= 0.3383856, Accumulated Leap Seconds=27 + { 2448870.50, 58.846991 }, //05 September 1992, UT1-UTC= 0.3370085, Accumulated Leap Seconds=27 + { 2448871.50, 58.848362 }, //06 September 1992, UT1-UTC= 0.3356378, Accumulated Leap Seconds=27 + { 2448872.50, 58.849808 }, //07 September 1992, UT1-UTC= 0.3341918, Accumulated Leap Seconds=27 + { 2448873.50, 58.851392 }, //08 September 1992, UT1-UTC= 0.3326079, Accumulated Leap Seconds=27 + { 2448874.50, 58.853147 }, //09 September 1992, UT1-UTC= 0.3308526, Accumulated Leap Seconds=27 + { 2448875.50, 58.855061 }, //10 September 1992, UT1-UTC= 0.3289393, Accumulated Leap Seconds=27 + { 2448876.50, 58.857098 }, //11 September 1992, UT1-UTC= 0.3269017, Accumulated Leap Seconds=27 + { 2448877.50, 58.859213 }, //12 September 1992, UT1-UTC= 0.3247867, Accumulated Leap Seconds=27 + { 2448878.50, 58.861351 }, //13 September 1992, UT1-UTC= 0.3226486, Accumulated Leap Seconds=27 + { 2448879.50, 58.863453 }, //14 September 1992, UT1-UTC= 0.3205468, Accumulated Leap Seconds=27 + { 2448880.50, 58.865464 }, //15 September 1992, UT1-UTC= 0.3185359, Accumulated Leap Seconds=27 + { 2448881.50, 58.867350 }, //16 September 1992, UT1-UTC= 0.3166498, Accumulated Leap Seconds=27 + { 2448882.50, 58.869116 }, //17 September 1992, UT1-UTC= 0.3148841, Accumulated Leap Seconds=27 + { 2448883.50, 58.870791 }, //18 September 1992, UT1-UTC= 0.3132085, Accumulated Leap Seconds=27 + { 2448884.50, 58.872418 }, //19 September 1992, UT1-UTC= 0.3115818, Accumulated Leap Seconds=27 + { 2448885.50, 58.874053 }, //20 September 1992, UT1-UTC= 0.3099468, Accumulated Leap Seconds=27 + { 2448886.50, 58.875766 }, //21 September 1992, UT1-UTC= 0.3082337, Accumulated Leap Seconds=27 + { 2448887.50, 58.877623 }, //22 September 1992, UT1-UTC= 0.3063772, Accumulated Leap Seconds=27 + { 2448888.50, 58.879685 }, //23 September 1992, UT1-UTC= 0.3043152, Accumulated Leap Seconds=27 + { 2448889.50, 58.882005 }, //24 September 1992, UT1-UTC= 0.3019954, Accumulated Leap Seconds=27 + { 2448890.50, 58.884542 }, //25 September 1992, UT1-UTC= 0.2994579, Accumulated Leap Seconds=27 + { 2448891.50, 58.887192 }, //26 September 1992, UT1-UTC= 0.2968080, Accumulated Leap Seconds=27 + { 2448892.50, 58.889817 }, //27 September 1992, UT1-UTC= 0.2941827, Accumulated Leap Seconds=27 + { 2448893.50, 58.892301 }, //28 September 1992, UT1-UTC= 0.2916985, Accumulated Leap Seconds=27 + { 2448894.50, 58.894585 }, //29 September 1992, UT1-UTC= 0.2894155, Accumulated Leap Seconds=27 + { 2448895.50, 58.896664 }, //30 September 1992, UT1-UTC= 0.2873360, Accumulated Leap Seconds=27 + { 2448896.50, 58.898579 }, //01 October 1992, UT1-UTC= 0.2854210, Accumulated Leap Seconds=27 + { 2448897.50, 58.900391 }, //02 October 1992, UT1-UTC= 0.2836088, Accumulated Leap Seconds=27 + { 2448898.50, 58.902165 }, //03 October 1992, UT1-UTC= 0.2818348, Accumulated Leap Seconds=27 + { 2448899.50, 58.903973 }, //04 October 1992, UT1-UTC= 0.2800272, Accumulated Leap Seconds=27 + { 2448900.50, 58.905872 }, //05 October 1992, UT1-UTC= 0.2781277, Accumulated Leap Seconds=27 + { 2448901.50, 58.907904 }, //06 October 1992, UT1-UTC= 0.2760962, Accumulated Leap Seconds=27 + { 2448902.50, 58.910087 }, //07 October 1992, UT1-UTC= 0.2739126, Accumulated Leap Seconds=27 + { 2448903.50, 58.912412 }, //08 October 1992, UT1-UTC= 0.2715878, Accumulated Leap Seconds=27 + { 2448904.50, 58.914845 }, //09 October 1992, UT1-UTC= 0.2691545, Accumulated Leap Seconds=27 + { 2448905.50, 58.917338 }, //10 October 1992, UT1-UTC= 0.2666616, Accumulated Leap Seconds=27 + { 2448906.50, 58.919829 }, //11 October 1992, UT1-UTC= 0.2641714, Accumulated Leap Seconds=27 + { 2448907.50, 58.922256 }, //12 October 1992, UT1-UTC= 0.2617437, Accumulated Leap Seconds=27 + { 2448908.50, 58.924574 }, //13 October 1992, UT1-UTC= 0.2594263, Accumulated Leap Seconds=27 + { 2448909.50, 58.926764 }, //14 October 1992, UT1-UTC= 0.2572357, Accumulated Leap Seconds=27 + { 2448910.50, 58.928864 }, //15 October 1992, UT1-UTC= 0.2551356, Accumulated Leap Seconds=27 + { 2448911.50, 58.930908 }, //16 October 1992, UT1-UTC= 0.2530918, Accumulated Leap Seconds=27 + { 2448912.50, 58.932950 }, //17 October 1992, UT1-UTC= 0.2510500, Accumulated Leap Seconds=27 + { 2448913.50, 58.935079 }, //18 October 1992, UT1-UTC= 0.2489210, Accumulated Leap Seconds=27 + { 2448914.50, 58.937383 }, //19 October 1992, UT1-UTC= 0.2466168, Accumulated Leap Seconds=27 + { 2448915.50, 58.939926 }, //20 October 1992, UT1-UTC= 0.2440735, Accumulated Leap Seconds=27 + { 2448916.50, 58.942744 }, //21 October 1992, UT1-UTC= 0.2412558, Accumulated Leap Seconds=27 + { 2448917.50, 58.945810 }, //22 October 1992, UT1-UTC= 0.2381899, Accumulated Leap Seconds=27 + { 2448918.50, 58.949005 }, //23 October 1992, UT1-UTC= 0.2349949, Accumulated Leap Seconds=27 + { 2448919.50, 58.952176 }, //24 October 1992, UT1-UTC= 0.2318239, Accumulated Leap Seconds=27 + { 2448920.50, 58.955199 }, //25 October 1992, UT1-UTC= 0.2288010, Accumulated Leap Seconds=27 + { 2448921.50, 58.957990 }, //26 October 1992, UT1-UTC= 0.2260100, Accumulated Leap Seconds=27 + { 2448922.50, 58.960518 }, //27 October 1992, UT1-UTC= 0.2234818, Accumulated Leap Seconds=27 + { 2448923.50, 58.962819 }, //28 October 1992, UT1-UTC= 0.2211813, Accumulated Leap Seconds=27 + { 2448924.50, 58.964974 }, //29 October 1992, UT1-UTC= 0.2190256, Accumulated Leap Seconds=27 + { 2448925.50, 58.967072 }, //30 October 1992, UT1-UTC= 0.2169279, Accumulated Leap Seconds=27 + { 2448926.50, 58.969186 }, //31 October 1992, UT1-UTC= 0.2148141, Accumulated Leap Seconds=27 + { 2448927.50, 58.971368 }, //01 November 1992, UT1-UTC= 0.2126322, Accumulated Leap Seconds=27 + { 2448928.50, 58.973626 }, //02 November 1992, UT1-UTC= 0.2103739, Accumulated Leap Seconds=27 + { 2448929.50, 58.975941 }, //03 November 1992, UT1-UTC= 0.2080589, Accumulated Leap Seconds=27 + { 2448930.50, 58.978297 }, //04 November 1992, UT1-UTC= 0.2057030, Accumulated Leap Seconds=27 + { 2448931.50, 58.980717 }, //05 November 1992, UT1-UTC= 0.2032827, Accumulated Leap Seconds=27 + { 2448932.50, 58.983211 }, //06 November 1992, UT1-UTC= 0.2007890, Accumulated Leap Seconds=27 + { 2448933.50, 58.985723 }, //07 November 1992, UT1-UTC= 0.1982766, Accumulated Leap Seconds=27 + { 2448934.50, 58.988200 }, //08 November 1992, UT1-UTC= 0.1957996, Accumulated Leap Seconds=27 + { 2448935.50, 58.990599 }, //09 November 1992, UT1-UTC= 0.1934013, Accumulated Leap Seconds=27 + { 2448936.50, 58.992888 }, //10 November 1992, UT1-UTC= 0.1911117, Accumulated Leap Seconds=27 + { 2448937.50, 58.995071 }, //11 November 1992, UT1-UTC= 0.1889294, Accumulated Leap Seconds=27 + { 2448938.50, 58.997178 }, //12 November 1992, UT1-UTC= 0.1868219, Accumulated Leap Seconds=27 + { 2448939.50, 58.999256 }, //13 November 1992, UT1-UTC= 0.1847444, Accumulated Leap Seconds=27 + { 2448940.50, 59.001375 }, //14 November 1992, UT1-UTC= 0.1826248, Accumulated Leap Seconds=27 + { 2448941.50, 59.003619 }, //15 November 1992, UT1-UTC= 0.1803805, Accumulated Leap Seconds=27 + { 2448942.50, 59.006065 }, //16 November 1992, UT1-UTC= 0.1779354, Accumulated Leap Seconds=27 + { 2448943.50, 59.008745 }, //17 November 1992, UT1-UTC= 0.1752549, Accumulated Leap Seconds=27 + { 2448944.50, 59.011642 }, //18 November 1992, UT1-UTC= 0.1723580, Accumulated Leap Seconds=27 + { 2448945.50, 59.014673 }, //19 November 1992, UT1-UTC= 0.1693270, Accumulated Leap Seconds=27 + { 2448946.50, 59.017721 }, //20 November 1992, UT1-UTC= 0.1662786, Accumulated Leap Seconds=27 + { 2448947.50, 59.020669 }, //21 November 1992, UT1-UTC= 0.1633308, Accumulated Leap Seconds=27 + { 2448948.50, 59.023437 }, //22 November 1992, UT1-UTC= 0.1605629, Accumulated Leap Seconds=27 + { 2448949.50, 59.025987 }, //23 November 1992, UT1-UTC= 0.1580130, Accumulated Leap Seconds=27 + { 2448950.50, 59.028327 }, //24 November 1992, UT1-UTC= 0.1556732, Accumulated Leap Seconds=27 + { 2448951.50, 59.030508 }, //25 November 1992, UT1-UTC= 0.1534920, Accumulated Leap Seconds=27 + { 2448952.50, 59.032608 }, //26 November 1992, UT1-UTC= 0.1513920, Accumulated Leap Seconds=27 + { 2448953.50, 59.034703 }, //27 November 1992, UT1-UTC= 0.1492972, Accumulated Leap Seconds=27 + { 2448954.50, 59.036849 }, //28 November 1992, UT1-UTC= 0.1471512, Accumulated Leap Seconds=27 + { 2448955.50, 59.039080 }, //29 November 1992, UT1-UTC= 0.1449200, Accumulated Leap Seconds=27 + { 2448956.50, 59.041412 }, //30 November 1992, UT1-UTC= 0.1425879, Accumulated Leap Seconds=27 + { 2448957.50, 59.043837 }, //01 December 1992, UT1-UTC= 0.1401630, Accumulated Leap Seconds=27 + { 2448958.50, 59.046366 }, //02 December 1992, UT1-UTC= 0.1376336, Accumulated Leap Seconds=27 + { 2448959.50, 59.048999 }, //03 December 1992, UT1-UTC= 0.1350007, Accumulated Leap Seconds=27 + { 2448960.50, 59.051701 }, //04 December 1992, UT1-UTC= 0.1322991, Accumulated Leap Seconds=27 + { 2448961.50, 59.054402 }, //05 December 1992, UT1-UTC= 0.1295981, Accumulated Leap Seconds=27 + { 2448962.50, 59.057058 }, //06 December 1992, UT1-UTC= 0.1269417, Accumulated Leap Seconds=27 + { 2448963.50, 59.059640 }, //07 December 1992, UT1-UTC= 0.1243596, Accumulated Leap Seconds=27 + { 2448964.50, 59.062116 }, //08 December 1992, UT1-UTC= 0.1218842, Accumulated Leap Seconds=27 + { 2448965.50, 59.064488 }, //09 December 1992, UT1-UTC= 0.1195120, Accumulated Leap Seconds=27 + { 2448966.50, 59.066806 }, //10 December 1992, UT1-UTC= 0.1171939, Accumulated Leap Seconds=27 + { 2448967.50, 59.069139 }, //11 December 1992, UT1-UTC= 0.1148608, Accumulated Leap Seconds=27 + { 2448968.50, 59.071565 }, //12 December 1992, UT1-UTC= 0.1124347, Accumulated Leap Seconds=27 + { 2448969.50, 59.074151 }, //13 December 1992, UT1-UTC= 0.1098494, Accumulated Leap Seconds=27 + { 2448970.50, 59.076922 }, //14 December 1992, UT1-UTC= 0.1070776, Accumulated Leap Seconds=27 + { 2448971.50, 59.079859 }, //15 December 1992, UT1-UTC= 0.1041410, Accumulated Leap Seconds=27 + { 2448972.50, 59.082896 }, //16 December 1992, UT1-UTC= 0.1011043, Accumulated Leap Seconds=27 + { 2448973.50, 59.085925 }, //17 December 1992, UT1-UTC= 0.0980745, Accumulated Leap Seconds=27 + { 2448974.50, 59.088842 }, //18 December 1992, UT1-UTC= 0.0951582, Accumulated Leap Seconds=27 + { 2448975.50, 59.091563 }, //19 December 1992, UT1-UTC= 0.0924366, Accumulated Leap Seconds=27 + { 2448976.50, 59.094049 }, //20 December 1992, UT1-UTC= 0.0899514, Accumulated Leap Seconds=27 + { 2448977.50, 59.096302 }, //21 December 1992, UT1-UTC= 0.0876983, Accumulated Leap Seconds=27 + { 2448978.50, 59.098371 }, //22 December 1992, UT1-UTC= 0.0856286, Accumulated Leap Seconds=27 + { 2448979.50, 59.100339 }, //23 December 1992, UT1-UTC= 0.0836607, Accumulated Leap Seconds=27 + { 2448980.50, 59.102298 }, //24 December 1992, UT1-UTC= 0.0817015, Accumulated Leap Seconds=27 + { 2448981.50, 59.104324 }, //25 December 1992, UT1-UTC= 0.0796758, Accumulated Leap Seconds=27 + { 2448982.50, 59.106467 }, //26 December 1992, UT1-UTC= 0.0775328, Accumulated Leap Seconds=27 + { 2448983.50, 59.108754 }, //27 December 1992, UT1-UTC= 0.0752456, Accumulated Leap Seconds=27 + { 2448984.50, 59.111190 }, //28 December 1992, UT1-UTC= 0.0728104, Accumulated Leap Seconds=27 + { 2448985.50, 59.113756 }, //29 December 1992, UT1-UTC= 0.0702439, Accumulated Leap Seconds=27 + { 2448986.50, 59.116419 }, //30 December 1992, UT1-UTC= 0.0675806, Accumulated Leap Seconds=27 + { 2448987.50, 59.119128 }, //31 December 1992, UT1-UTC= 0.0648720, Accumulated Leap Seconds=27 + { 2448988.50, 59.121841 }, //01 January 1993, UT1-UTC= 0.0621586, Accumulated Leap Seconds=27 + { 2448989.50, 59.124525 }, //02 January 1993, UT1-UTC= 0.0594754, Accumulated Leap Seconds=27 + { 2448990.50, 59.127148 }, //03 January 1993, UT1-UTC= 0.0568516, Accumulated Leap Seconds=27 + { 2448991.50, 59.129696 }, //04 January 1993, UT1-UTC= 0.0543039, Accumulated Leap Seconds=27 + { 2448992.50, 59.132170 }, //05 January 1993, UT1-UTC= 0.0518298, Accumulated Leap Seconds=27 + { 2448993.50, 59.134595 }, //06 January 1993, UT1-UTC= 0.0494045, Accumulated Leap Seconds=27 + { 2448994.50, 59.137003 }, //07 January 1993, UT1-UTC= 0.0469970, Accumulated Leap Seconds=27 + { 2448995.50, 59.139444 }, //08 January 1993, UT1-UTC= 0.0445561, Accumulated Leap Seconds=27 + { 2448996.50, 59.141978 }, //09 January 1993, UT1-UTC= 0.0420224, Accumulated Leap Seconds=27 + { 2448997.50, 59.144665 }, //10 January 1993, UT1-UTC= 0.0393348, Accumulated Leap Seconds=27 + { 2448998.50, 59.147519 }, //11 January 1993, UT1-UTC= 0.0364810, Accumulated Leap Seconds=27 + { 2448999.50, 59.150491 }, //12 January 1993, UT1-UTC= 0.0335089, Accumulated Leap Seconds=27 + { 2449000.50, 59.153492 }, //13 January 1993, UT1-UTC= 0.0305078, Accumulated Leap Seconds=27 + { 2449001.50, 59.156421 }, //14 January 1993, UT1-UTC= 0.0275793, Accumulated Leap Seconds=27 + { 2449002.50, 59.159194 }, //15 January 1993, UT1-UTC= 0.0248062, Accumulated Leap Seconds=27 + { 2449003.50, 59.161771 }, //16 January 1993, UT1-UTC= 0.0222291, Accumulated Leap Seconds=27 + { 2449004.50, 59.164149 }, //17 January 1993, UT1-UTC= 0.0198512, Accumulated Leap Seconds=27 + { 2449005.50, 59.166359 }, //18 January 1993, UT1-UTC= 0.0176414, Accumulated Leap Seconds=27 + { 2449006.50, 59.168450 }, //19 January 1993, UT1-UTC= 0.0155495, Accumulated Leap Seconds=27 + { 2449007.50, 59.170490 }, //20 January 1993, UT1-UTC= 0.0135102, Accumulated Leap Seconds=27 + { 2449008.50, 59.172556 }, //21 January 1993, UT1-UTC= 0.0114436, Accumulated Leap Seconds=27 + { 2449009.50, 59.174701 }, //22 January 1993, UT1-UTC= 0.0092994, Accumulated Leap Seconds=27 + { 2449010.50, 59.176950 }, //23 January 1993, UT1-UTC= 0.0070502, Accumulated Leap Seconds=27 + { 2449011.50, 59.179320 }, //24 January 1993, UT1-UTC= 0.0046799, Accumulated Leap Seconds=27 + { 2449012.50, 59.181813 }, //25 January 1993, UT1-UTC= 0.0021865, Accumulated Leap Seconds=27 + { 2449013.50, 59.184419 }, //26 January 1993, UT1-UTC=-0.0004188, Accumulated Leap Seconds=27 + { 2449014.50, 59.187117 }, //27 January 1993, UT1-UTC=-0.0031169, Accumulated Leap Seconds=27 + { 2449015.50, 59.189859 }, //28 January 1993, UT1-UTC=-0.0058587, Accumulated Leap Seconds=27 + { 2449016.50, 59.192580 }, //29 January 1993, UT1-UTC=-0.0085798, Accumulated Leap Seconds=27 + { 2449017.50, 59.195237 }, //30 January 1993, UT1-UTC=-0.0112369, Accumulated Leap Seconds=27 + { 2449018.50, 59.197802 }, //31 January 1993, UT1-UTC=-0.0138020, Accumulated Leap Seconds=27 + { 2449019.50, 59.200269 }, //01 February 1993, UT1-UTC=-0.0162687, Accumulated Leap Seconds=27 + { 2449020.50, 59.202653 }, //02 February 1993, UT1-UTC=-0.0186532, Accumulated Leap Seconds=27 + { 2449021.50, 59.205006 }, //03 February 1993, UT1-UTC=-0.0210060, Accumulated Leap Seconds=27 + { 2449022.50, 59.207411 }, //04 February 1993, UT1-UTC=-0.0234108, Accumulated Leap Seconds=27 + { 2449023.50, 59.209960 }, //05 February 1993, UT1-UTC=-0.0259598, Accumulated Leap Seconds=27 + { 2449024.50, 59.212733 }, //06 February 1993, UT1-UTC=-0.0287326, Accumulated Leap Seconds=27 + { 2449025.50, 59.215762 }, //07 February 1993, UT1-UTC=-0.0317622, Accumulated Leap Seconds=27 + { 2449026.50, 59.219012 }, //08 February 1993, UT1-UTC=-0.0350123, Accumulated Leap Seconds=27 + { 2449027.50, 59.222380 }, //09 February 1993, UT1-UTC=-0.0383801, Accumulated Leap Seconds=27 + { 2449028.50, 59.225731 }, //10 February 1993, UT1-UTC=-0.0417313, Accumulated Leap Seconds=27 + { 2449029.50, 59.228927 }, //11 February 1993, UT1-UTC=-0.0449274, Accumulated Leap Seconds=27 + { 2449030.50, 59.231868 }, //12 February 1993, UT1-UTC=-0.0478682, Accumulated Leap Seconds=27 + { 2449031.50, 59.234524 }, //13 February 1993, UT1-UTC=-0.0505241, Accumulated Leap Seconds=27 + { 2449032.50, 59.236942 }, //14 February 1993, UT1-UTC=-0.0529420, Accumulated Leap Seconds=27 + { 2449033.50, 59.239206 }, //15 February 1993, UT1-UTC=-0.0552062, Accumulated Leap Seconds=27 + { 2449034.50, 59.241409 }, //16 February 1993, UT1-UTC=-0.0574086, Accumulated Leap Seconds=27 + { 2449035.50, 59.243637 }, //17 February 1993, UT1-UTC=-0.0596371, Accumulated Leap Seconds=27 + { 2449036.50, 59.245948 }, //18 February 1993, UT1-UTC=-0.0619484, Accumulated Leap Seconds=27 + { 2449037.50, 59.248384 }, //19 February 1993, UT1-UTC=-0.0643843, Accumulated Leap Seconds=27 + { 2449038.50, 59.250965 }, //20 February 1993, UT1-UTC=-0.0669654, Accumulated Leap Seconds=27 + { 2449039.50, 59.253677 }, //21 February 1993, UT1-UTC=-0.0696767, Accumulated Leap Seconds=27 + { 2449040.50, 59.256479 }, //22 February 1993, UT1-UTC=-0.0724794, Accumulated Leap Seconds=27 + { 2449041.50, 59.259317 }, //23 February 1993, UT1-UTC=-0.0753175, Accumulated Leap Seconds=27 + { 2449042.50, 59.262132 }, //24 February 1993, UT1-UTC=-0.0781319, Accumulated Leap Seconds=27 + { 2449043.50, 59.264879 }, //25 February 1993, UT1-UTC=-0.0808788, Accumulated Leap Seconds=27 + { 2449044.50, 59.267525 }, //26 February 1993, UT1-UTC=-0.0835249, Accumulated Leap Seconds=27 + { 2449045.50, 59.270050 }, //27 February 1993, UT1-UTC=-0.0860497, Accumulated Leap Seconds=27 + { 2449046.50, 59.272449 }, //28 February 1993, UT1-UTC=-0.0884491, Accumulated Leap Seconds=27 + { 2449047.50, 59.274737 }, //01 March 1993, UT1-UTC=-0.0907370, Accumulated Leap Seconds=27 + { 2449048.50, 59.276949 }, //02 March 1993, UT1-UTC=-0.0929494, Accumulated Leap Seconds=27 + { 2449049.50, 59.279152 }, //03 March 1993, UT1-UTC=-0.0951520, Accumulated Leap Seconds=27 + { 2449050.50, 59.281437 }, //04 March 1993, UT1-UTC=-0.0974371, Accumulated Leap Seconds=27 + { 2449051.50, 59.283891 }, //05 March 1993, UT1-UTC=-0.0998912, Accumulated Leap Seconds=27 + { 2449052.50, 59.286574 }, //06 March 1993, UT1-UTC=-0.1025743, Accumulated Leap Seconds=27 + { 2449053.50, 59.289510 }, //07 March 1993, UT1-UTC=-0.1055100, Accumulated Leap Seconds=27 + { 2449054.50, 59.292658 }, //08 March 1993, UT1-UTC=-0.1086584, Accumulated Leap Seconds=27 + { 2449055.50, 59.295923 }, //09 March 1993, UT1-UTC=-0.1119232, Accumulated Leap Seconds=27 + { 2449056.50, 59.299184 }, //10 March 1993, UT1-UTC=-0.1151838, Accumulated Leap Seconds=27 + { 2449057.50, 59.302321 }, //11 March 1993, UT1-UTC=-0.1183210, Accumulated Leap Seconds=27 + { 2449058.50, 59.305265 }, //12 March 1993, UT1-UTC=-0.1212646, Accumulated Leap Seconds=27 + { 2449059.50, 59.308010 }, //13 March 1993, UT1-UTC=-0.1240096, Accumulated Leap Seconds=27 + { 2449060.50, 59.310606 }, //14 March 1993, UT1-UTC=-0.1266065, Accumulated Leap Seconds=27 + { 2449061.50, 59.313123 }, //15 March 1993, UT1-UTC=-0.1291234, Accumulated Leap Seconds=27 + { 2449062.50, 59.315619 }, //16 March 1993, UT1-UTC=-0.1316186, Accumulated Leap Seconds=27 + { 2449063.50, 59.318142 }, //17 March 1993, UT1-UTC=-0.1341417, Accumulated Leap Seconds=27 + { 2449064.50, 59.320728 }, //18 March 1993, UT1-UTC=-0.1367277, Accumulated Leap Seconds=27 + { 2449065.50, 59.323397 }, //19 March 1993, UT1-UTC=-0.1393974, Accumulated Leap Seconds=27 + { 2449066.50, 59.326156 }, //20 March 1993, UT1-UTC=-0.1421558, Accumulated Leap Seconds=27 + { 2449067.50, 59.328991 }, //21 March 1993, UT1-UTC=-0.1449906, Accumulated Leap Seconds=27 + { 2449068.50, 59.331873 }, //22 March 1993, UT1-UTC=-0.1478732, Accumulated Leap Seconds=27 + { 2449069.50, 59.334764 }, //23 March 1993, UT1-UTC=-0.1507642, Accumulated Leap Seconds=27 + { 2449070.50, 59.337625 }, //24 March 1993, UT1-UTC=-0.1536251, Accumulated Leap Seconds=27 + { 2449071.50, 59.340411 }, //25 March 1993, UT1-UTC=-0.1564110, Accumulated Leap Seconds=27 + { 2449072.50, 59.343076 }, //26 March 1993, UT1-UTC=-0.1590763, Accumulated Leap Seconds=27 + { 2449073.50, 59.345616 }, //27 March 1993, UT1-UTC=-0.1616165, Accumulated Leap Seconds=27 + { 2449074.50, 59.348042 }, //28 March 1993, UT1-UTC=-0.1640415, Accumulated Leap Seconds=27 + { 2449075.50, 59.350377 }, //29 March 1993, UT1-UTC=-0.1663773, Accumulated Leap Seconds=27 + { 2449076.50, 59.352668 }, //30 March 1993, UT1-UTC=-0.1686679, Accumulated Leap Seconds=27 + { 2449077.50, 59.354982 }, //31 March 1993, UT1-UTC=-0.1709824, Accumulated Leap Seconds=27 + { 2449078.50, 59.357413 }, //01 April 1993, UT1-UTC=-0.1734134, Accumulated Leap Seconds=27 + { 2449079.50, 59.360042 }, //02 April 1993, UT1-UTC=-0.1760424, Accumulated Leap Seconds=27 + { 2449080.50, 59.362915 }, //03 April 1993, UT1-UTC=-0.1789153, Accumulated Leap Seconds=27 + { 2449081.50, 59.366024 }, //04 April 1993, UT1-UTC=-0.1820242, Accumulated Leap Seconds=27 + { 2449082.50, 59.369302 }, //05 April 1993, UT1-UTC=-0.1853021, Accumulated Leap Seconds=27 + { 2449083.50, 59.372642 }, //06 April 1993, UT1-UTC=-0.1886421, Accumulated Leap Seconds=27 + { 2449084.50, 59.375934 }, //07 April 1993, UT1-UTC=-0.1919338, Accumulated Leap Seconds=27 + { 2449085.50, 59.379079 }, //08 April 1993, UT1-UTC=-0.1950789, Accumulated Leap Seconds=27 + { 2449086.50, 59.382033 }, //09 April 1993, UT1-UTC=-0.1980334, Accumulated Leap Seconds=27 + { 2449087.50, 59.384818 }, //10 April 1993, UT1-UTC=-0.2008176, Accumulated Leap Seconds=27 + { 2449088.50, 59.387492 }, //11 April 1993, UT1-UTC=-0.2034918, Accumulated Leap Seconds=27 + { 2449089.50, 59.390124 }, //12 April 1993, UT1-UTC=-0.2061237, Accumulated Leap Seconds=27 + { 2449090.50, 59.392763 }, //13 April 1993, UT1-UTC=-0.2087629, Accumulated Leap Seconds=27 + { 2449091.50, 59.395456 }, //14 April 1993, UT1-UTC=-0.2114559, Accumulated Leap Seconds=27 + { 2449092.50, 59.398249 }, //15 April 1993, UT1-UTC=-0.2142492, Accumulated Leap Seconds=27 + { 2449093.50, 59.401134 }, //16 April 1993, UT1-UTC=-0.2171343, Accumulated Leap Seconds=27 + { 2449094.50, 59.404079 }, //17 April 1993, UT1-UTC=-0.2200786, Accumulated Leap Seconds=27 + { 2449095.50, 59.407048 }, //18 April 1993, UT1-UTC=-0.2230481, Accumulated Leap Seconds=27 + { 2449096.50, 59.410005 }, //19 April 1993, UT1-UTC=-0.2260048, Accumulated Leap Seconds=27 + { 2449097.50, 59.412909 }, //20 April 1993, UT1-UTC=-0.2289091, Accumulated Leap Seconds=27 + { 2449098.50, 59.415742 }, //21 April 1993, UT1-UTC=-0.2317422, Accumulated Leap Seconds=27 + { 2449099.50, 59.418521 }, //22 April 1993, UT1-UTC=-0.2345212, Accumulated Leap Seconds=27 + { 2449100.50, 59.421254 }, //23 April 1993, UT1-UTC=-0.2372538, Accumulated Leap Seconds=27 + { 2449101.50, 59.423913 }, //24 April 1993, UT1-UTC=-0.2399125, Accumulated Leap Seconds=27 + { 2449102.50, 59.426499 }, //25 April 1993, UT1-UTC=-0.2424995, Accumulated Leap Seconds=27 + { 2449103.50, 59.429044 }, //26 April 1993, UT1-UTC=-0.2450436, Accumulated Leap Seconds=27 + { 2449104.50, 59.431587 }, //27 April 1993, UT1-UTC=-0.2475871, Accumulated Leap Seconds=27 + { 2449105.50, 59.434213 }, //28 April 1993, UT1-UTC=-0.2502132, Accumulated Leap Seconds=27 + { 2449106.50, 59.437030 }, //29 April 1993, UT1-UTC=-0.2530302, Accumulated Leap Seconds=27 + { 2449107.50, 59.440094 }, //30 April 1993, UT1-UTC=-0.2560944, Accumulated Leap Seconds=27 + { 2449108.50, 59.443383 }, //01 May 1993, UT1-UTC=-0.2593827, Accumulated Leap Seconds=27 + { 2449109.50, 59.446825 }, //02 May 1993, UT1-UTC=-0.2628253, Accumulated Leap Seconds=27 + { 2449110.50, 59.450310 }, //03 May 1993, UT1-UTC=-0.2663097, Accumulated Leap Seconds=27 + { 2449111.50, 59.453701 }, //04 May 1993, UT1-UTC=-0.2697007, Accumulated Leap Seconds=27 + { 2449112.50, 59.456882 }, //05 May 1993, UT1-UTC=-0.2728818, Accumulated Leap Seconds=27 + { 2449113.50, 59.459803 }, //06 May 1993, UT1-UTC=-0.2758031, Accumulated Leap Seconds=27 + { 2449114.50, 59.462473 }, //07 May 1993, UT1-UTC=-0.2784728, Accumulated Leap Seconds=27 + { 2449115.50, 59.464959 }, //08 May 1993, UT1-UTC=-0.2809586, Accumulated Leap Seconds=27 + { 2449116.50, 59.467345 }, //09 May 1993, UT1-UTC=-0.2833450, Accumulated Leap Seconds=27 + { 2449117.50, 59.469706 }, //10 May 1993, UT1-UTC=-0.2857062, Accumulated Leap Seconds=27 + { 2449118.50, 59.472091 }, //11 May 1993, UT1-UTC=-0.2880913, Accumulated Leap Seconds=27 + { 2449119.50, 59.474515 }, //12 May 1993, UT1-UTC=-0.2905148, Accumulated Leap Seconds=27 + { 2449120.50, 59.476971 }, //13 May 1993, UT1-UTC=-0.2929705, Accumulated Leap Seconds=27 + { 2449121.50, 59.479471 }, //14 May 1993, UT1-UTC=-0.2954714, Accumulated Leap Seconds=27 + { 2449122.50, 59.482027 }, //15 May 1993, UT1-UTC=-0.2980267, Accumulated Leap Seconds=27 + { 2449123.50, 59.484616 }, //16 May 1993, UT1-UTC=-0.3006161, Accumulated Leap Seconds=27 + { 2449124.50, 59.487207 }, //17 May 1993, UT1-UTC=-0.3032068, Accumulated Leap Seconds=27 + { 2449125.50, 59.489762 }, //18 May 1993, UT1-UTC=-0.3057621, Accumulated Leap Seconds=27 + { 2449126.50, 59.492249 }, //19 May 1993, UT1-UTC=-0.3082495, Accumulated Leap Seconds=27 + { 2449127.50, 59.494638 }, //20 May 1993, UT1-UTC=-0.3106377, Accumulated Leap Seconds=27 + { 2449128.50, 59.496913 }, //21 May 1993, UT1-UTC=-0.3129125, Accumulated Leap Seconds=27 + { 2449129.50, 59.499091 }, //22 May 1993, UT1-UTC=-0.3150909, Accumulated Leap Seconds=27 + { 2449130.50, 59.501211 }, //23 May 1993, UT1-UTC=-0.3172109, Accumulated Leap Seconds=27 + { 2449131.50, 59.503335 }, //24 May 1993, UT1-UTC=-0.3193351, Accumulated Leap Seconds=27 + { 2449132.50, 59.505536 }, //25 May 1993, UT1-UTC=-0.3215356, Accumulated Leap Seconds=27 + { 2449133.50, 59.507875 }, //26 May 1993, UT1-UTC=-0.3238752, Accumulated Leap Seconds=27 + { 2449134.50, 59.510383 }, //27 May 1993, UT1-UTC=-0.3263831, Accumulated Leap Seconds=27 + { 2449135.50, 59.513059 }, //28 May 1993, UT1-UTC=-0.3290589, Accumulated Leap Seconds=27 + { 2449136.50, 59.515865 }, //29 May 1993, UT1-UTC=-0.3318646, Accumulated Leap Seconds=27 + { 2449137.50, 59.518726 }, //30 May 1993, UT1-UTC=-0.3347260, Accumulated Leap Seconds=27 + { 2449138.50, 59.521549 }, //31 May 1993, UT1-UTC=-0.3375493, Accumulated Leap Seconds=27 + { 2449139.50, 59.524242 }, //01 June 1993, UT1-UTC=-0.3402416, Accumulated Leap Seconds=27 + { 2449140.50, 59.526731 }, //02 June 1993, UT1-UTC=-0.3427310, Accumulated Leap Seconds=27 + { 2449141.50, 59.528985 }, //03 June 1993, UT1-UTC=-0.3449852, Accumulated Leap Seconds=27 + { 2449142.50, 59.531031 }, //04 June 1993, UT1-UTC=-0.3470306, Accumulated Leap Seconds=27 + { 2449143.50, 59.532937 }, //05 June 1993, UT1-UTC=-0.3489374, Accumulated Leap Seconds=27 + { 2449144.50, 59.534793 }, //06 June 1993, UT1-UTC=-0.3507926, Accumulated Leap Seconds=27 + { 2449145.50, 59.536675 }, //07 June 1993, UT1-UTC=-0.3526748, Accumulated Leap Seconds=27 + { 2449146.50, 59.538636 }, //08 June 1993, UT1-UTC=-0.3546356, Accumulated Leap Seconds=27 + { 2449147.50, 59.540693 }, //09 June 1993, UT1-UTC=-0.3566934, Accumulated Leap Seconds=27 + { 2449148.50, 59.542832 }, //10 June 1993, UT1-UTC=-0.3588322, Accumulated Leap Seconds=27 + { 2449149.50, 59.545040 }, //11 June 1993, UT1-UTC=-0.3610400, Accumulated Leap Seconds=27 + { 2449150.50, 59.547286 }, //12 June 1993, UT1-UTC=-0.3632859, Accumulated Leap Seconds=27 + { 2449151.50, 59.549527 }, //13 June 1993, UT1-UTC=-0.3655270, Accumulated Leap Seconds=27 + { 2449152.50, 59.551718 }, //14 June 1993, UT1-UTC=-0.3677184, Accumulated Leap Seconds=27 + { 2449153.50, 59.553820 }, //15 June 1993, UT1-UTC=-0.3698199, Accumulated Leap Seconds=27 + { 2449154.50, 59.555803 }, //16 June 1993, UT1-UTC=-0.3718032, Accumulated Leap Seconds=27 + { 2449155.50, 59.557667 }, //17 June 1993, UT1-UTC=-0.3736668, Accumulated Leap Seconds=27 + { 2449156.50, 59.559432 }, //18 June 1993, UT1-UTC=-0.3754318, Accumulated Leap Seconds=27 + { 2449157.50, 59.561128 }, //19 June 1993, UT1-UTC=-0.3771281, Accumulated Leap Seconds=27 + { 2449158.50, 59.562809 }, //20 June 1993, UT1-UTC=-0.3788093, Accumulated Leap Seconds=27 + { 2449159.50, 59.564545 }, //21 June 1993, UT1-UTC=-0.3805452, Accumulated Leap Seconds=27 + { 2449160.50, 59.566401 }, //22 June 1993, UT1-UTC=-0.3824011, Accumulated Leap Seconds=27 + { 2449161.50, 59.568417 }, //23 June 1993, UT1-UTC=-0.3844170, Accumulated Leap Seconds=27 + { 2449162.50, 59.570583 }, //24 June 1993, UT1-UTC=-0.3865828, Accumulated Leap Seconds=27 + { 2449163.50, 59.572856 }, //25 June 1993, UT1-UTC=-0.3888564, Accumulated Leap Seconds=27 + { 2449164.50, 59.575178 }, //26 June 1993, UT1-UTC=-0.3911783, Accumulated Leap Seconds=27 + { 2449165.50, 59.577470 }, //27 June 1993, UT1-UTC=-0.3934703, Accumulated Leap Seconds=27 + { 2449166.50, 59.579643 }, //28 June 1993, UT1-UTC=-0.3956430, Accumulated Leap Seconds=27 + { 2449167.50, 59.581627 }, //29 June 1993, UT1-UTC=-0.3976266, Accumulated Leap Seconds=27 + { 2449168.50, 59.583395 }, //30 June 1993, UT1-UTC=-0.3993948, Accumulated Leap Seconds=27 + { 2449169.50, 59.584979 }, //01 July 1993, UT1-UTC= 0.5990213, Accumulated Leap Seconds=28 + { 2449170.50, 59.586433 }, //02 July 1993, UT1-UTC= 0.5975665, Accumulated Leap Seconds=28 + { 2449171.50, 59.587826 }, //03 July 1993, UT1-UTC= 0.5961744, Accumulated Leap Seconds=28 + { 2449172.50, 59.589219 }, //04 July 1993, UT1-UTC= 0.5947809, Accumulated Leap Seconds=28 + { 2449173.50, 59.590660 }, //05 July 1993, UT1-UTC= 0.5933398, Accumulated Leap Seconds=28 + { 2449174.50, 59.592171 }, //06 July 1993, UT1-UTC= 0.5918288, Accumulated Leap Seconds=28 + { 2449175.50, 59.593749 }, //07 July 1993, UT1-UTC= 0.5902506, Accumulated Leap Seconds=28 + { 2449176.50, 59.595372 }, //08 July 1993, UT1-UTC= 0.5886275, Accumulated Leap Seconds=28 + { 2449177.50, 59.597007 }, //09 July 1993, UT1-UTC= 0.5869933, Accumulated Leap Seconds=28 + { 2449178.50, 59.598621 }, //10 July 1993, UT1-UTC= 0.5853792, Accumulated Leap Seconds=28 + { 2449179.50, 59.600191 }, //11 July 1993, UT1-UTC= 0.5838086, Accumulated Leap Seconds=28 + { 2449180.50, 59.601703 }, //12 July 1993, UT1-UTC= 0.5822970, Accumulated Leap Seconds=28 + { 2449181.50, 59.603150 }, //13 July 1993, UT1-UTC= 0.5808503, Accumulated Leap Seconds=28 + { 2449182.50, 59.604539 }, //14 July 1993, UT1-UTC= 0.5794606, Accumulated Leap Seconds=28 + { 2449183.50, 59.605880 }, //15 July 1993, UT1-UTC= 0.5781205, Accumulated Leap Seconds=28 + { 2449184.50, 59.607164 }, //16 July 1993, UT1-UTC= 0.5768360, Accumulated Leap Seconds=28 + { 2449185.50, 59.608417 }, //17 July 1993, UT1-UTC= 0.5755834, Accumulated Leap Seconds=28 + { 2449186.50, 59.609694 }, //18 July 1993, UT1-UTC= 0.5743061, Accumulated Leap Seconds=28 + { 2449187.50, 59.611081 }, //19 July 1993, UT1-UTC= 0.5729185, Accumulated Leap Seconds=28 + { 2449188.50, 59.612656 }, //20 July 1993, UT1-UTC= 0.5713440, Accumulated Leap Seconds=28 + { 2449189.50, 59.614461 }, //21 July 1993, UT1-UTC= 0.5695386, Accumulated Leap Seconds=28 + { 2449190.50, 59.616505 }, //22 July 1993, UT1-UTC= 0.5674946, Accumulated Leap Seconds=28 + { 2449191.50, 59.618713 }, //23 July 1993, UT1-UTC= 0.5652874, Accumulated Leap Seconds=28 + { 2449192.50, 59.620957 }, //24 July 1993, UT1-UTC= 0.5630427, Accumulated Leap Seconds=28 + { 2449193.50, 59.623117 }, //25 July 1993, UT1-UTC= 0.5608826, Accumulated Leap Seconds=28 + { 2449194.50, 59.625106 }, //26 July 1993, UT1-UTC= 0.5588936, Accumulated Leap Seconds=28 + { 2449195.50, 59.626888 }, //27 July 1993, UT1-UTC= 0.5571115, Accumulated Leap Seconds=28 + { 2449196.50, 59.628479 }, //28 July 1993, UT1-UTC= 0.5555207, Accumulated Leap Seconds=28 + { 2449197.50, 59.629943 }, //29 July 1993, UT1-UTC= 0.5540573, Accumulated Leap Seconds=28 + { 2449198.50, 59.631371 }, //30 July 1993, UT1-UTC= 0.5526292, Accumulated Leap Seconds=28 + { 2449199.50, 59.632822 }, //31 July 1993, UT1-UTC= 0.5511775, Accumulated Leap Seconds=28 + { 2449200.50, 59.634350 }, //01 August 1993, UT1-UTC= 0.5496503, Accumulated Leap Seconds=28 + { 2449201.50, 59.635985 }, //02 August 1993, UT1-UTC= 0.5480148, Accumulated Leap Seconds=28 + { 2449202.50, 59.637739 }, //03 August 1993, UT1-UTC= 0.5462606, Accumulated Leap Seconds=28 + { 2449203.50, 59.639604 }, //04 August 1993, UT1-UTC= 0.5443964, Accumulated Leap Seconds=28 + { 2449204.50, 59.641560 }, //05 August 1993, UT1-UTC= 0.5424400, Accumulated Leap Seconds=28 + { 2449205.50, 59.643567 }, //06 August 1993, UT1-UTC= 0.5404326, Accumulated Leap Seconds=28 + { 2449206.50, 59.645557 }, //07 August 1993, UT1-UTC= 0.5384428, Accumulated Leap Seconds=28 + { 2449207.50, 59.647478 }, //08 August 1993, UT1-UTC= 0.5365217, Accumulated Leap Seconds=28 + { 2449208.50, 59.649296 }, //09 August 1993, UT1-UTC= 0.5347039, Accumulated Leap Seconds=28 + { 2449209.50, 59.650991 }, //10 August 1993, UT1-UTC= 0.5330091, Accumulated Leap Seconds=28 + { 2449210.50, 59.652561 }, //11 August 1993, UT1-UTC= 0.5314394, Accumulated Leap Seconds=28 + { 2449211.50, 59.654042 }, //12 August 1993, UT1-UTC= 0.5299581, Accumulated Leap Seconds=28 + { 2449212.50, 59.655495 }, //13 August 1993, UT1-UTC= 0.5285050, Accumulated Leap Seconds=28 + { 2449213.50, 59.656991 }, //14 August 1993, UT1-UTC= 0.5270087, Accumulated Leap Seconds=28 + { 2449214.50, 59.658612 }, //15 August 1993, UT1-UTC= 0.5253878, Accumulated Leap Seconds=28 + { 2449215.50, 59.660427 }, //16 August 1993, UT1-UTC= 0.5235733, Accumulated Leap Seconds=28 + { 2449216.50, 59.662473 }, //17 August 1993, UT1-UTC= 0.5215268, Accumulated Leap Seconds=28 + { 2449217.50, 59.664748 }, //18 August 1993, UT1-UTC= 0.5192517, Accumulated Leap Seconds=28 + { 2449218.50, 59.667214 }, //19 August 1993, UT1-UTC= 0.5167860, Accumulated Leap Seconds=28 + { 2449219.50, 59.669782 }, //20 August 1993, UT1-UTC= 0.5142177, Accumulated Leap Seconds=28 + { 2449220.50, 59.672327 }, //21 August 1993, UT1-UTC= 0.5116731, Accumulated Leap Seconds=28 + { 2449221.50, 59.674731 }, //22 August 1993, UT1-UTC= 0.5092691, Accumulated Leap Seconds=28 + { 2449222.50, 59.676925 }, //23 August 1993, UT1-UTC= 0.5070750, Accumulated Leap Seconds=28 + { 2449223.50, 59.678894 }, //24 August 1993, UT1-UTC= 0.5051055, Accumulated Leap Seconds=28 + { 2449224.50, 59.680669 }, //25 August 1993, UT1-UTC= 0.5033306, Accumulated Leap Seconds=28 + { 2449225.50, 59.682312 }, //26 August 1993, UT1-UTC= 0.5016878, Accumulated Leap Seconds=28 + { 2449226.50, 59.683893 }, //27 August 1993, UT1-UTC= 0.5001067, Accumulated Leap Seconds=28 + { 2449227.50, 59.685486 }, //28 August 1993, UT1-UTC= 0.4985141, Accumulated Leap Seconds=28 + { 2449228.50, 59.687147 }, //29 August 1993, UT1-UTC= 0.4968532, Accumulated Leap Seconds=28 + { 2449229.50, 59.688911 }, //30 August 1993, UT1-UTC= 0.4950890, Accumulated Leap Seconds=28 + { 2449230.50, 59.690792 }, //31 August 1993, UT1-UTC= 0.4932083, Accumulated Leap Seconds=28 + { 2449231.50, 59.692783 }, //01 September 1993, UT1-UTC= 0.4912173, Accumulated Leap Seconds=28 + { 2449232.50, 59.694857 }, //02 September 1993, UT1-UTC= 0.4891434, Accumulated Leap Seconds=28 + { 2449233.50, 59.696960 }, //03 September 1993, UT1-UTC= 0.4870396, Accumulated Leap Seconds=28 + { 2449234.50, 59.699041 }, //04 September 1993, UT1-UTC= 0.4849585, Accumulated Leap Seconds=28 + { 2449235.50, 59.701060 }, //05 September 1993, UT1-UTC= 0.4829399, Accumulated Leap Seconds=28 + { 2449236.50, 59.702994 }, //06 September 1993, UT1-UTC= 0.4810059, Accumulated Leap Seconds=28 + { 2449237.50, 59.704842 }, //07 September 1993, UT1-UTC= 0.4791580, Accumulated Leap Seconds=28 + { 2449238.50, 59.706618 }, //08 September 1993, UT1-UTC= 0.4773818, Accumulated Leap Seconds=28 + { 2449239.50, 59.708344 }, //09 September 1993, UT1-UTC= 0.4756563, Accumulated Leap Seconds=28 + { 2449240.50, 59.710073 }, //10 September 1993, UT1-UTC= 0.4739272, Accumulated Leap Seconds=28 + { 2449241.50, 59.711881 }, //11 September 1993, UT1-UTC= 0.4721191, Accumulated Leap Seconds=28 + { 2449242.50, 59.713848 }, //12 September 1993, UT1-UTC= 0.4701520, Accumulated Leap Seconds=28 + { 2449243.50, 59.716042 }, //13 September 1993, UT1-UTC= 0.4679584, Accumulated Leap Seconds=28 + { 2449244.50, 59.718490 }, //14 September 1993, UT1-UTC= 0.4655095, Accumulated Leap Seconds=28 + { 2449245.50, 59.721168 }, //15 September 1993, UT1-UTC= 0.4628317, Accumulated Leap Seconds=28 + { 2449246.50, 59.723987 }, //16 September 1993, UT1-UTC= 0.4600133, Accumulated Leap Seconds=28 + { 2449247.50, 59.726815 }, //17 September 1993, UT1-UTC= 0.4571853, Accumulated Leap Seconds=28 + { 2449248.50, 59.729523 }, //18 September 1993, UT1-UTC= 0.4544769, Accumulated Leap Seconds=28 + { 2449249.50, 59.732029 }, //19 September 1993, UT1-UTC= 0.4519709, Accumulated Leap Seconds=28 + { 2449250.50, 59.734317 }, //20 September 1993, UT1-UTC= 0.4496832, Accumulated Leap Seconds=28 + { 2449251.50, 59.736434 }, //21 September 1993, UT1-UTC= 0.4475661, Accumulated Leap Seconds=28 + { 2449252.50, 59.738467 }, //22 September 1993, UT1-UTC= 0.4455329, Accumulated Leap Seconds=28 + { 2449253.50, 59.740492 }, //23 September 1993, UT1-UTC= 0.4435076, Accumulated Leap Seconds=28 + { 2449254.50, 59.742556 }, //24 September 1993, UT1-UTC= 0.4414444, Accumulated Leap Seconds=28 + { 2449255.50, 59.744698 }, //25 September 1993, UT1-UTC= 0.4393015, Accumulated Leap Seconds=28 + { 2449256.50, 59.746936 }, //26 September 1993, UT1-UTC= 0.4370639, Accumulated Leap Seconds=28 + { 2449257.50, 59.749262 }, //27 September 1993, UT1-UTC= 0.4347381, Accumulated Leap Seconds=28 + { 2449258.50, 59.751652 }, //28 September 1993, UT1-UTC= 0.4323477, Accumulated Leap Seconds=28 + { 2449259.50, 59.754069 }, //29 September 1993, UT1-UTC= 0.4299313, Accumulated Leap Seconds=28 + { 2449260.50, 59.756461 }, //30 September 1993, UT1-UTC= 0.4275388, Accumulated Leap Seconds=28 + { 2449261.50, 59.758805 }, //01 October 1993, UT1-UTC= 0.4251950, Accumulated Leap Seconds=28 + { 2449262.50, 59.761087 }, //02 October 1993, UT1-UTC= 0.4229131, Accumulated Leap Seconds=28 + { 2449263.50, 59.763298 }, //03 October 1993, UT1-UTC= 0.4207018, Accumulated Leap Seconds=28 + { 2449264.50, 59.765446 }, //04 October 1993, UT1-UTC= 0.4185543, Accumulated Leap Seconds=28 + { 2449265.50, 59.767553 }, //05 October 1993, UT1-UTC= 0.4164466, Accumulated Leap Seconds=28 + { 2449266.50, 59.769660 }, //06 October 1993, UT1-UTC= 0.4143404, Accumulated Leap Seconds=28 + { 2449267.50, 59.771806 }, //07 October 1993, UT1-UTC= 0.4121937, Accumulated Leap Seconds=28 + { 2449268.50, 59.774016 }, //08 October 1993, UT1-UTC= 0.4099838, Accumulated Leap Seconds=28 + { 2449269.50, 59.776337 }, //09 October 1993, UT1-UTC= 0.4076625, Accumulated Leap Seconds=28 + { 2449270.50, 59.778832 }, //10 October 1993, UT1-UTC= 0.4051683, Accumulated Leap Seconds=28 + { 2449271.50, 59.781548 }, //11 October 1993, UT1-UTC= 0.4024520, Accumulated Leap Seconds=28 + { 2449272.50, 59.784500 }, //12 October 1993, UT1-UTC= 0.3995004, Accumulated Leap Seconds=28 + { 2449273.50, 59.787653 }, //13 October 1993, UT1-UTC= 0.3963465, Accumulated Leap Seconds=28 + { 2449274.50, 59.790935 }, //14 October 1993, UT1-UTC= 0.3930652, Accumulated Leap Seconds=28 + { 2449275.50, 59.794199 }, //15 October 1993, UT1-UTC= 0.3898006, Accumulated Leap Seconds=28 + { 2449276.50, 59.797312 }, //16 October 1993, UT1-UTC= 0.3866883, Accumulated Leap Seconds=28 + { 2449277.50, 59.800194 }, //17 October 1993, UT1-UTC= 0.3838059, Accumulated Leap Seconds=28 + { 2449278.50, 59.802840 }, //18 October 1993, UT1-UTC= 0.3811603, Accumulated Leap Seconds=28 + { 2449279.50, 59.805301 }, //19 October 1993, UT1-UTC= 0.3786989, Accumulated Leap Seconds=28 + { 2449280.50, 59.807662 }, //20 October 1993, UT1-UTC= 0.3763377, Accumulated Leap Seconds=28 + { 2449281.50, 59.810016 }, //21 October 1993, UT1-UTC= 0.3739835, Accumulated Leap Seconds=28 + { 2449282.50, 59.812438 }, //22 October 1993, UT1-UTC= 0.3715615, Accumulated Leap Seconds=28 + { 2449283.50, 59.814956 }, //23 October 1993, UT1-UTC= 0.3690436, Accumulated Leap Seconds=28 + { 2449284.50, 59.817569 }, //24 October 1993, UT1-UTC= 0.3664313, Accumulated Leap Seconds=28 + { 2449285.50, 59.820259 }, //25 October 1993, UT1-UTC= 0.3637412, Accumulated Leap Seconds=28 + { 2449286.50, 59.823002 }, //26 October 1993, UT1-UTC= 0.3609983, Accumulated Leap Seconds=28 + { 2449287.50, 59.825765 }, //27 October 1993, UT1-UTC= 0.3582351, Accumulated Leap Seconds=28 + { 2449288.50, 59.828508 }, //28 October 1993, UT1-UTC= 0.3554925, Accumulated Leap Seconds=28 + { 2449289.50, 59.831189 }, //29 October 1993, UT1-UTC= 0.3528112, Accumulated Leap Seconds=28 + { 2449290.50, 59.833781 }, //30 October 1993, UT1-UTC= 0.3502189, Accumulated Leap Seconds=28 + { 2449291.50, 59.836268 }, //31 October 1993, UT1-UTC= 0.3477323, Accumulated Leap Seconds=28 + { 2449292.50, 59.838645 }, //01 November 1993, UT1-UTC= 0.3453552, Accumulated Leap Seconds=28 + { 2449293.50, 59.840925 }, //02 November 1993, UT1-UTC= 0.3430746, Accumulated Leap Seconds=28 + { 2449294.50, 59.843139 }, //03 November 1993, UT1-UTC= 0.3408610, Accumulated Leap Seconds=28 + { 2449295.50, 59.845319 }, //04 November 1993, UT1-UTC= 0.3386812, Accumulated Leap Seconds=28 + { 2449296.50, 59.847523 }, //05 November 1993, UT1-UTC= 0.3364773, Accumulated Leap Seconds=28 + { 2449297.50, 59.849834 }, //06 November 1993, UT1-UTC= 0.3341663, Accumulated Leap Seconds=28 + { 2449298.50, 59.852320 }, //07 November 1993, UT1-UTC= 0.3316799, Accumulated Leap Seconds=28 + { 2449299.50, 59.855020 }, //08 November 1993, UT1-UTC= 0.3289803, Accumulated Leap Seconds=28 + { 2449300.50, 59.857926 }, //09 November 1993, UT1-UTC= 0.3260735, Accumulated Leap Seconds=28 + { 2449301.50, 59.860985 }, //10 November 1993, UT1-UTC= 0.3230149, Accumulated Leap Seconds=28 + { 2449302.50, 59.864090 }, //11 November 1993, UT1-UTC= 0.3199099, Accumulated Leap Seconds=28 + { 2449303.50, 59.867118 }, //12 November 1993, UT1-UTC= 0.3168824, Accumulated Leap Seconds=28 + { 2449304.50, 59.869974 }, //13 November 1993, UT1-UTC= 0.3140265, Accumulated Leap Seconds=28 + { 2449305.50, 59.872614 }, //14 November 1993, UT1-UTC= 0.3113862, Accumulated Leap Seconds=28 + { 2449306.50, 59.875054 }, //15 November 1993, UT1-UTC= 0.3089460, Accumulated Leap Seconds=28 + { 2449307.50, 59.877356 }, //16 November 1993, UT1-UTC= 0.3066442, Accumulated Leap Seconds=28 + { 2449308.50, 59.879596 }, //17 November 1993, UT1-UTC= 0.3044037, Accumulated Leap Seconds=28 + { 2449309.50, 59.881841 }, //18 November 1993, UT1-UTC= 0.3021586, Accumulated Leap Seconds=28 + { 2449310.50, 59.884137 }, //19 November 1993, UT1-UTC= 0.2998625, Accumulated Leap Seconds=28 + { 2449311.50, 59.886501 }, //20 November 1993, UT1-UTC= 0.2974989, Accumulated Leap Seconds=28 + { 2449312.50, 59.888926 }, //21 November 1993, UT1-UTC= 0.2950742, Accumulated Leap Seconds=28 + { 2449313.50, 59.891392 }, //22 November 1993, UT1-UTC= 0.2926080, Accumulated Leap Seconds=28 + { 2449314.50, 59.893874 }, //23 November 1993, UT1-UTC= 0.2901262, Accumulated Leap Seconds=28 + { 2449315.50, 59.896341 }, //24 November 1993, UT1-UTC= 0.2876592, Accumulated Leap Seconds=28 + { 2449316.50, 59.898757 }, //25 November 1993, UT1-UTC= 0.2852429, Accumulated Leap Seconds=28 + { 2449317.50, 59.901084 }, //26 November 1993, UT1-UTC= 0.2829157, Accumulated Leap Seconds=28 + { 2449318.50, 59.903303 }, //27 November 1993, UT1-UTC= 0.2806969, Accumulated Leap Seconds=28 + { 2449319.50, 59.905405 }, //28 November 1993, UT1-UTC= 0.2785951, Accumulated Leap Seconds=28 + { 2449320.50, 59.907390 }, //29 November 1993, UT1-UTC= 0.2766102, Accumulated Leap Seconds=28 + { 2449321.50, 59.909263 }, //30 November 1993, UT1-UTC= 0.2747371, Accumulated Leap Seconds=28 + { 2449322.50, 59.911057 }, //01 December 1993, UT1-UTC= 0.2729433, Accumulated Leap Seconds=28 + { 2449323.50, 59.912869 }, //02 December 1993, UT1-UTC= 0.2711311, Accumulated Leap Seconds=28 + { 2449324.50, 59.914754 }, //03 December 1993, UT1-UTC= 0.2692456, Accumulated Leap Seconds=28 + { 2449325.50, 59.916776 }, //04 December 1993, UT1-UTC= 0.2672240, Accumulated Leap Seconds=28 + { 2449326.50, 59.918980 }, //05 December 1993, UT1-UTC= 0.2650202, Accumulated Leap Seconds=28 + { 2449327.50, 59.921380 }, //06 December 1993, UT1-UTC= 0.2626204, Accumulated Leap Seconds=28 + { 2449328.50, 59.923955 }, //07 December 1993, UT1-UTC= 0.2600449, Accumulated Leap Seconds=28 + { 2449329.50, 59.926652 }, //08 December 1993, UT1-UTC= 0.2573477, Accumulated Leap Seconds=28 + { 2449330.50, 59.929369 }, //09 December 1993, UT1-UTC= 0.2546311, Accumulated Leap Seconds=28 + { 2449331.50, 59.932012 }, //10 December 1993, UT1-UTC= 0.2519876, Accumulated Leap Seconds=28 + { 2449332.50, 59.934521 }, //11 December 1993, UT1-UTC= 0.2494785, Accumulated Leap Seconds=28 + { 2449333.50, 59.936882 }, //12 December 1993, UT1-UTC= 0.2471184, Accumulated Leap Seconds=28 + { 2449334.50, 59.939125 }, //13 December 1993, UT1-UTC= 0.2448753, Accumulated Leap Seconds=28 + { 2449335.50, 59.941322 }, //14 December 1993, UT1-UTC= 0.2426777, Accumulated Leap Seconds=28 + { 2449336.50, 59.943556 }, //15 December 1993, UT1-UTC= 0.2404437, Accumulated Leap Seconds=28 + { 2449337.50, 59.945899 }, //16 December 1993, UT1-UTC= 0.2381006, Accumulated Leap Seconds=28 + { 2449338.50, 59.948367 }, //17 December 1993, UT1-UTC= 0.2356329, Accumulated Leap Seconds=28 + { 2449339.50, 59.950925 }, //18 December 1993, UT1-UTC= 0.2330752, Accumulated Leap Seconds=28 + { 2449340.50, 59.953537 }, //19 December 1993, UT1-UTC= 0.2304630, Accumulated Leap Seconds=28 + { 2449341.50, 59.956174 }, //20 December 1993, UT1-UTC= 0.2278256, Accumulated Leap Seconds=28 + { 2449342.50, 59.958817 }, //21 December 1993, UT1-UTC= 0.2251828, Accumulated Leap Seconds=28 + { 2449343.50, 59.961440 }, //22 December 1993, UT1-UTC= 0.2225602, Accumulated Leap Seconds=28 + { 2449344.50, 59.963975 }, //23 December 1993, UT1-UTC= 0.2200253, Accumulated Leap Seconds=28 + { 2449345.50, 59.966403 }, //24 December 1993, UT1-UTC= 0.2175975, Accumulated Leap Seconds=28 + { 2449346.50, 59.968730 }, //25 December 1993, UT1-UTC= 0.2152701, Accumulated Leap Seconds=28 + { 2449347.50, 59.970961 }, //26 December 1993, UT1-UTC= 0.2130385, Accumulated Leap Seconds=28 + { 2449348.50, 59.973116 }, //27 December 1993, UT1-UTC= 0.2108839, Accumulated Leap Seconds=28 + { 2449349.50, 59.975229 }, //28 December 1993, UT1-UTC= 0.2087707, Accumulated Leap Seconds=28 + { 2449350.50, 59.977352 }, //29 December 1993, UT1-UTC= 0.2066483, Accumulated Leap Seconds=28 + { 2449351.50, 59.979548 }, //30 December 1993, UT1-UTC= 0.2044522, Accumulated Leap Seconds=28 + { 2449352.50, 59.981908 }, //31 December 1993, UT1-UTC= 0.2020922, Accumulated Leap Seconds=28 + { 2449353.50, 59.984454 }, //01 January 1994, UT1-UTC= 0.1995463, Accumulated Leap Seconds=28 + { 2449354.50, 59.987158 }, //02 January 1994, UT1-UTC= 0.1968423, Accumulated Leap Seconds=28 + { 2449355.50, 59.989957 }, //03 January 1994, UT1-UTC= 0.1940431, Accumulated Leap Seconds=28 + { 2449356.50, 59.992764 }, //04 January 1994, UT1-UTC= 0.1912364, Accumulated Leap Seconds=28 + { 2449357.50, 59.995486 }, //05 January 1994, UT1-UTC= 0.1885145, Accumulated Leap Seconds=28 + { 2449358.50, 59.998057 }, //06 January 1994, UT1-UTC= 0.1859434, Accumulated Leap Seconds=28 + { 2449359.50, 60.000451 }, //07 January 1994, UT1-UTC= 0.1835491, Accumulated Leap Seconds=28 + { 2449360.50, 60.002664 }, //08 January 1994, UT1-UTC= 0.1813362, Accumulated Leap Seconds=28 + { 2449361.50, 60.004731 }, //09 January 1994, UT1-UTC= 0.1792693, Accumulated Leap Seconds=28 + { 2449362.50, 60.006724 }, //10 January 1994, UT1-UTC= 0.1772761, Accumulated Leap Seconds=28 + { 2449363.50, 60.008717 }, //11 January 1994, UT1-UTC= 0.1752829, Accumulated Leap Seconds=28 + { 2449364.50, 60.010768 }, //12 January 1994, UT1-UTC= 0.1732318, Accumulated Leap Seconds=28 + { 2449365.50, 60.012945 }, //13 January 1994, UT1-UTC= 0.1710547, Accumulated Leap Seconds=28 + { 2449366.50, 60.015256 }, //14 January 1994, UT1-UTC= 0.1687436, Accumulated Leap Seconds=28 + { 2449367.50, 60.017631 }, //15 January 1994, UT1-UTC= 0.1663686, Accumulated Leap Seconds=28 + { 2449368.50, 60.019976 }, //16 January 1994, UT1-UTC= 0.1640235, Accumulated Leap Seconds=28 + { 2449369.50, 60.022268 }, //17 January 1994, UT1-UTC= 0.1617322, Accumulated Leap Seconds=28 + { 2449370.50, 60.024519 }, //18 January 1994, UT1-UTC= 0.1594805, Accumulated Leap Seconds=28 + { 2449371.50, 60.026707 }, //19 January 1994, UT1-UTC= 0.1572930, Accumulated Leap Seconds=28 + { 2449372.50, 60.028782 }, //20 January 1994, UT1-UTC= 0.1552178, Accumulated Leap Seconds=28 + { 2449373.50, 60.030772 }, //21 January 1994, UT1-UTC= 0.1532284, Accumulated Leap Seconds=28 + { 2449374.50, 60.032727 }, //22 January 1994, UT1-UTC= 0.1512732, Accumulated Leap Seconds=28 + { 2449375.50, 60.034655 }, //23 January 1994, UT1-UTC= 0.1493454, Accumulated Leap Seconds=28 + { 2449376.50, 60.036585 }, //24 January 1994, UT1-UTC= 0.1474146, Accumulated Leap Seconds=28 + { 2449377.50, 60.038554 }, //25 January 1994, UT1-UTC= 0.1454455, Accumulated Leap Seconds=28 + { 2449378.50, 60.040633 }, //26 January 1994, UT1-UTC= 0.1433675, Accumulated Leap Seconds=28 + { 2449379.50, 60.042906 }, //27 January 1994, UT1-UTC= 0.1410944, Accumulated Leap Seconds=28 + { 2449380.50, 60.045391 }, //28 January 1994, UT1-UTC= 0.1386086, Accumulated Leap Seconds=28 + { 2449381.50, 60.048059 }, //29 January 1994, UT1-UTC= 0.1359406, Accumulated Leap Seconds=28 + { 2449382.50, 60.050851 }, //30 January 1994, UT1-UTC= 0.1331486, Accumulated Leap Seconds=28 + { 2449383.50, 60.053676 }, //31 January 1994, UT1-UTC= 0.1303237, Accumulated Leap Seconds=28 + { 2449384.50, 60.056435 }, //01 February 1994, UT1-UTC= 0.1275650, Accumulated Leap Seconds=28 + { 2449385.50, 60.059035 }, //02 February 1994, UT1-UTC= 0.1249650, Accumulated Leap Seconds=28 + { 2449386.50, 60.061430 }, //03 February 1994, UT1-UTC= 0.1225700, Accumulated Leap Seconds=28 + { 2449387.50, 60.063630 }, //04 February 1994, UT1-UTC= 0.1203695, Accumulated Leap Seconds=28 + { 2449388.50, 60.065670 }, //05 February 1994, UT1-UTC= 0.1183296, Accumulated Leap Seconds=28 + { 2449389.50, 60.067608 }, //06 February 1994, UT1-UTC= 0.1163916, Accumulated Leap Seconds=28 + { 2449390.50, 60.069524 }, //07 February 1994, UT1-UTC= 0.1144762, Accumulated Leap Seconds=28 + { 2449391.50, 60.071500 }, //08 February 1994, UT1-UTC= 0.1125004, Accumulated Leap Seconds=28 + { 2449392.50, 60.073581 }, //09 February 1994, UT1-UTC= 0.1104190, Accumulated Leap Seconds=28 + { 2449393.50, 60.075772 }, //10 February 1994, UT1-UTC= 0.1082275, Accumulated Leap Seconds=28 + { 2449394.50, 60.078056 }, //11 February 1994, UT1-UTC= 0.1059438, Accumulated Leap Seconds=28 + { 2449395.50, 60.080392 }, //12 February 1994, UT1-UTC= 0.1036081, Accumulated Leap Seconds=28 + { 2449396.50, 60.082745 }, //13 February 1994, UT1-UTC= 0.1012548, Accumulated Leap Seconds=28 + { 2449397.50, 60.085089 }, //14 February 1994, UT1-UTC= 0.0989113, Accumulated Leap Seconds=28 + { 2449398.50, 60.087391 }, //15 February 1994, UT1-UTC= 0.0966092, Accumulated Leap Seconds=28 + { 2449399.50, 60.089620 }, //16 February 1994, UT1-UTC= 0.0943799, Accumulated Leap Seconds=28 + { 2449400.50, 60.091761 }, //17 February 1994, UT1-UTC= 0.0922394, Accumulated Leap Seconds=28 + { 2449401.50, 60.093832 }, //18 February 1994, UT1-UTC= 0.0901679, Accumulated Leap Seconds=28 + { 2449402.50, 60.095856 }, //19 February 1994, UT1-UTC= 0.0881438, Accumulated Leap Seconds=28 + { 2449403.50, 60.097868 }, //20 February 1994, UT1-UTC= 0.0861319, Accumulated Leap Seconds=28 + { 2449404.50, 60.099928 }, //21 February 1994, UT1-UTC= 0.0840724, Accumulated Leap Seconds=28 + { 2449405.50, 60.102100 }, //22 February 1994, UT1-UTC= 0.0818996, Accumulated Leap Seconds=28 + { 2449406.50, 60.104453 }, //23 February 1994, UT1-UTC= 0.0795473, Accumulated Leap Seconds=28 + { 2449407.50, 60.107055 }, //24 February 1994, UT1-UTC= 0.0769445, Accumulated Leap Seconds=28 + { 2449408.50, 60.109938 }, //25 February 1994, UT1-UTC= 0.0740622, Accumulated Leap Seconds=28 + { 2449409.50, 60.113072 }, //26 February 1994, UT1-UTC= 0.0709277, Accumulated Leap Seconds=28 + { 2449410.50, 60.116382 }, //27 February 1994, UT1-UTC= 0.0676180, Accumulated Leap Seconds=28 + { 2449411.50, 60.119753 }, //28 February 1994, UT1-UTC= 0.0642465, Accumulated Leap Seconds=28 + { 2449412.50, 60.123065 }, //01 March 1994, UT1-UTC= 0.0609350, Accumulated Leap Seconds=28 + { 2449413.50, 60.126225 }, //02 March 1994, UT1-UTC= 0.0577749, Accumulated Leap Seconds=28 + { 2449414.50, 60.129196 }, //03 March 1994, UT1-UTC= 0.0548037, Accumulated Leap Seconds=28 + { 2449415.50, 60.131976 }, //04 March 1994, UT1-UTC= 0.0520238, Accumulated Leap Seconds=28 + { 2449416.50, 60.134591 }, //05 March 1994, UT1-UTC= 0.0494091, Accumulated Leap Seconds=28 + { 2449417.50, 60.137097 }, //06 March 1994, UT1-UTC= 0.0469026, Accumulated Leap Seconds=28 + { 2449418.50, 60.139573 }, //07 March 1994, UT1-UTC= 0.0444265, Accumulated Leap Seconds=28 + { 2449419.50, 60.142077 }, //08 March 1994, UT1-UTC= 0.0419231, Accumulated Leap Seconds=28 + { 2449420.50, 60.144641 }, //09 March 1994, UT1-UTC= 0.0393590, Accumulated Leap Seconds=28 + { 2449421.50, 60.147280 }, //10 March 1994, UT1-UTC= 0.0367196, Accumulated Leap Seconds=28 + { 2449422.50, 60.149965 }, //11 March 1994, UT1-UTC= 0.0340346, Accumulated Leap Seconds=28 + { 2449423.50, 60.152629 }, //12 March 1994, UT1-UTC= 0.0313708, Accumulated Leap Seconds=28 + { 2449424.50, 60.155218 }, //13 March 1994, UT1-UTC= 0.0287815, Accumulated Leap Seconds=28 + { 2449425.50, 60.157715 }, //14 March 1994, UT1-UTC= 0.0262847, Accumulated Leap Seconds=28 + { 2449426.50, 60.160114 }, //15 March 1994, UT1-UTC= 0.0238858, Accumulated Leap Seconds=28 + { 2449427.50, 60.162423 }, //16 March 1994, UT1-UTC= 0.0215771, Accumulated Leap Seconds=28 + { 2449428.50, 60.164659 }, //17 March 1994, UT1-UTC= 0.0193410, Accumulated Leap Seconds=28 + { 2449429.50, 60.166817 }, //18 March 1994, UT1-UTC= 0.0171831, Accumulated Leap Seconds=28 + { 2449430.50, 60.168928 }, //19 March 1994, UT1-UTC= 0.0150715, Accumulated Leap Seconds=28 + { 2449431.50, 60.171039 }, //20 March 1994, UT1-UTC= 0.0129606, Accumulated Leap Seconds=28 + { 2449432.50, 60.173207 }, //21 March 1994, UT1-UTC= 0.0107926, Accumulated Leap Seconds=28 + { 2449433.50, 60.175495 }, //22 March 1994, UT1-UTC= 0.0085045, Accumulated Leap Seconds=28 + { 2449434.50, 60.177965 }, //23 March 1994, UT1-UTC= 0.0060354, Accumulated Leap Seconds=28 + { 2449435.50, 60.180665 }, //24 March 1994, UT1-UTC= 0.0033354, Accumulated Leap Seconds=28 + { 2449436.50, 60.183602 }, //25 March 1994, UT1-UTC= 0.0003978, Accumulated Leap Seconds=28 + { 2449437.50, 60.186750 }, //26 March 1994, UT1-UTC=-0.0027501, Accumulated Leap Seconds=28 + { 2449438.50, 60.190006 }, //27 March 1994, UT1-UTC=-0.0060058, Accumulated Leap Seconds=28 + { 2449439.50, 60.193231 }, //28 March 1994, UT1-UTC=-0.0092311, Accumulated Leap Seconds=28 + { 2449440.50, 60.196298 }, //29 March 1994, UT1-UTC=-0.0122978, Accumulated Leap Seconds=28 + { 2449441.50, 60.199132 }, //30 March 1994, UT1-UTC=-0.0151325, Accumulated Leap Seconds=28 + { 2449442.50, 60.201753 }, //31 March 1994, UT1-UTC=-0.0177530, Accumulated Leap Seconds=28 + { 2449443.50, 60.204218 }, //01 April 1994, UT1-UTC=-0.0202185, Accumulated Leap Seconds=28 + { 2449444.50, 60.206601 }, //02 April 1994, UT1-UTC=-0.0226006, Accumulated Leap Seconds=28 + { 2449445.50, 60.208976 }, //03 April 1994, UT1-UTC=-0.0249765, Accumulated Leap Seconds=28 + { 2449446.50, 60.211398 }, //04 April 1994, UT1-UTC=-0.0273982, Accumulated Leap Seconds=28 + { 2449447.50, 60.213875 }, //05 April 1994, UT1-UTC=-0.0298750, Accumulated Leap Seconds=28 + { 2449448.50, 60.216400 }, //06 April 1994, UT1-UTC=-0.0323998, Accumulated Leap Seconds=28 + { 2449449.50, 60.218976 }, //07 April 1994, UT1-UTC=-0.0349757, Accumulated Leap Seconds=28 + { 2449450.50, 60.221591 }, //08 April 1994, UT1-UTC=-0.0375914, Accumulated Leap Seconds=28 + { 2449451.50, 60.224220 }, //09 April 1994, UT1-UTC=-0.0402202, Accumulated Leap Seconds=28 + { 2449452.50, 60.226830 }, //10 April 1994, UT1-UTC=-0.0428300, Accumulated Leap Seconds=28 + { 2449453.50, 60.229386 }, //11 April 1994, UT1-UTC=-0.0453863, Accumulated Leap Seconds=28 + { 2449454.50, 60.231855 }, //12 April 1994, UT1-UTC=-0.0478555, Accumulated Leap Seconds=28 + { 2449455.50, 60.234219 }, //13 April 1994, UT1-UTC=-0.0502190, Accumulated Leap Seconds=28 + { 2449456.50, 60.236478 }, //14 April 1994, UT1-UTC=-0.0524782, Accumulated Leap Seconds=28 + { 2449457.50, 60.238647 }, //15 April 1994, UT1-UTC=-0.0546467, Accumulated Leap Seconds=28 + { 2449458.50, 60.240755 }, //16 April 1994, UT1-UTC=-0.0567550, Accumulated Leap Seconds=28 + { 2449459.50, 60.242866 }, //17 April 1994, UT1-UTC=-0.0588659, Accumulated Leap Seconds=28 + { 2449460.50, 60.245045 }, //18 April 1994, UT1-UTC=-0.0610451, Accumulated Leap Seconds=28 + { 2449461.50, 60.247353 }, //19 April 1994, UT1-UTC=-0.0633530, Accumulated Leap Seconds=28 + { 2449462.50, 60.249832 }, //20 April 1994, UT1-UTC=-0.0658316, Accumulated Leap Seconds=28 + { 2449463.50, 60.252488 }, //21 April 1994, UT1-UTC=-0.0684879, Accumulated Leap Seconds=28 + { 2449464.50, 60.255337 }, //22 April 1994, UT1-UTC=-0.0713369, Accumulated Leap Seconds=28 + { 2449465.50, 60.258367 }, //23 April 1994, UT1-UTC=-0.0743670, Accumulated Leap Seconds=28 + { 2449466.50, 60.261506 }, //24 April 1994, UT1-UTC=-0.0775057, Accumulated Leap Seconds=28 + { 2449467.50, 60.264633 }, //25 April 1994, UT1-UTC=-0.0806326, Accumulated Leap Seconds=28 + { 2449468.50, 60.267624 }, //26 April 1994, UT1-UTC=-0.0836236, Accumulated Leap Seconds=28 + { 2449469.50, 60.270404 }, //27 April 1994, UT1-UTC=-0.0864045, Accumulated Leap Seconds=28 + { 2449470.50, 60.272987 }, //28 April 1994, UT1-UTC=-0.0889870, Accumulated Leap Seconds=28 + { 2449471.50, 60.275454 }, //29 April 1994, UT1-UTC=-0.0914543, Accumulated Leap Seconds=28 + { 2449472.50, 60.277897 }, //30 April 1994, UT1-UTC=-0.0938970, Accumulated Leap Seconds=28 + { 2449473.50, 60.280375 }, //01 May 1994, UT1-UTC=-0.0963745, Accumulated Leap Seconds=28 + { 2449474.50, 60.282912 }, //02 May 1994, UT1-UTC=-0.0989117, Accumulated Leap Seconds=28 + { 2449475.50, 60.285501 }, //03 May 1994, UT1-UTC=-0.1015009, Accumulated Leap Seconds=28 + { 2449476.50, 60.288120 }, //04 May 1994, UT1-UTC=-0.1041202, Accumulated Leap Seconds=28 + { 2449477.50, 60.290754 }, //05 May 1994, UT1-UTC=-0.1067542, Accumulated Leap Seconds=28 + { 2449478.50, 60.293379 }, //06 May 1994, UT1-UTC=-0.1093791, Accumulated Leap Seconds=28 + { 2449479.50, 60.295956 }, //07 May 1994, UT1-UTC=-0.1119560, Accumulated Leap Seconds=28 + { 2449480.50, 60.298459 }, //08 May 1994, UT1-UTC=-0.1144588, Accumulated Leap Seconds=28 + { 2449481.50, 60.300874 }, //09 May 1994, UT1-UTC=-0.1168745, Accumulated Leap Seconds=28 + { 2449482.50, 60.303192 }, //10 May 1994, UT1-UTC=-0.1191924, Accumulated Leap Seconds=28 + { 2449483.50, 60.305421 }, //11 May 1994, UT1-UTC=-0.1214215, Accumulated Leap Seconds=28 + { 2449484.50, 60.307604 }, //12 May 1994, UT1-UTC=-0.1236039, Accumulated Leap Seconds=28 + { 2449485.50, 60.309764 }, //13 May 1994, UT1-UTC=-0.1257643, Accumulated Leap Seconds=28 + { 2449486.50, 60.311913 }, //14 May 1994, UT1-UTC=-0.1279126, Accumulated Leap Seconds=28 + { 2449487.50, 60.314100 }, //15 May 1994, UT1-UTC=-0.1300998, Accumulated Leap Seconds=28 + { 2449488.50, 60.316367 }, //16 May 1994, UT1-UTC=-0.1323669, Accumulated Leap Seconds=28 + { 2449489.50, 60.318745 }, //17 May 1994, UT1-UTC=-0.1347455, Accumulated Leap Seconds=28 + { 2449490.50, 60.321252 }, //18 May 1994, UT1-UTC=-0.1372521, Accumulated Leap Seconds=28 + { 2449491.50, 60.323888 }, //19 May 1994, UT1-UTC=-0.1398877, Accumulated Leap Seconds=28 + { 2449492.50, 60.326628 }, //20 May 1994, UT1-UTC=-0.1426278, Accumulated Leap Seconds=28 + { 2449493.50, 60.329406 }, //21 May 1994, UT1-UTC=-0.1454058, Accumulated Leap Seconds=28 + { 2449494.50, 60.332135 }, //22 May 1994, UT1-UTC=-0.1481354, Accumulated Leap Seconds=28 + { 2449495.50, 60.334731 }, //23 May 1994, UT1-UTC=-0.1507309, Accumulated Leap Seconds=28 + { 2449496.50, 60.337135 }, //24 May 1994, UT1-UTC=-0.1531355, Accumulated Leap Seconds=28 + { 2449497.50, 60.339333 }, //25 May 1994, UT1-UTC=-0.1553330, Accumulated Leap Seconds=28 + { 2449498.50, 60.341352 }, //26 May 1994, UT1-UTC=-0.1573521, Accumulated Leap Seconds=28 + { 2449499.50, 60.343273 }, //27 May 1994, UT1-UTC=-0.1592733, Accumulated Leap Seconds=28 + { 2449500.50, 60.345164 }, //28 May 1994, UT1-UTC=-0.1611645, Accumulated Leap Seconds=28 + { 2449501.50, 60.347075 }, //29 May 1994, UT1-UTC=-0.1630746, Accumulated Leap Seconds=28 + { 2449502.50, 60.349025 }, //30 May 1994, UT1-UTC=-0.1650252, Accumulated Leap Seconds=28 + { 2449503.50, 60.351017 }, //31 May 1994, UT1-UTC=-0.1670173, Accumulated Leap Seconds=28 + { 2449504.50, 60.353035 }, //01 June 1994, UT1-UTC=-0.1690352, Accumulated Leap Seconds=28 + { 2449505.50, 60.355041 }, //02 June 1994, UT1-UTC=-0.1710415, Accumulated Leap Seconds=28 + { 2449506.50, 60.356995 }, //03 June 1994, UT1-UTC=-0.1729949, Accumulated Leap Seconds=28 + { 2449507.50, 60.358865 }, //04 June 1994, UT1-UTC=-0.1748653, Accumulated Leap Seconds=28 + { 2449508.50, 60.360634 }, //05 June 1994, UT1-UTC=-0.1766344, Accumulated Leap Seconds=28 + { 2449509.50, 60.362293 }, //06 June 1994, UT1-UTC=-0.1782929, Accumulated Leap Seconds=28 + { 2449510.50, 60.363840 }, //07 June 1994, UT1-UTC=-0.1798400, Accumulated Leap Seconds=28 + { 2449511.50, 60.365294 }, //08 June 1994, UT1-UTC=-0.1812939, Accumulated Leap Seconds=28 + { 2449512.50, 60.366688 }, //09 June 1994, UT1-UTC=-0.1826882, Accumulated Leap Seconds=28 + { 2449513.50, 60.368075 }, //10 June 1994, UT1-UTC=-0.1840746, Accumulated Leap Seconds=28 + { 2449514.50, 60.369521 }, //11 June 1994, UT1-UTC=-0.1855206, Accumulated Leap Seconds=28 + { 2449515.50, 60.371076 }, //12 June 1994, UT1-UTC=-0.1870763, Accumulated Leap Seconds=28 + { 2449516.50, 60.372773 }, //13 June 1994, UT1-UTC=-0.1887730, Accumulated Leap Seconds=28 + { 2449517.50, 60.374626 }, //14 June 1994, UT1-UTC=-0.1906264, Accumulated Leap Seconds=28 + { 2449518.50, 60.376626 }, //15 June 1994, UT1-UTC=-0.1926260, Accumulated Leap Seconds=28 + { 2449519.50, 60.378723 }, //16 June 1994, UT1-UTC=-0.1947228, Accumulated Leap Seconds=28 + { 2449520.50, 60.380859 }, //17 June 1994, UT1-UTC=-0.1968590, Accumulated Leap Seconds=28 + { 2449521.50, 60.382966 }, //18 June 1994, UT1-UTC=-0.1989662, Accumulated Leap Seconds=28 + { 2449522.50, 60.384968 }, //19 June 1994, UT1-UTC=-0.2009678, Accumulated Leap Seconds=28 + { 2449523.50, 60.386795 }, //20 June 1994, UT1-UTC=-0.2027948, Accumulated Leap Seconds=28 + { 2449524.50, 60.388409 }, //21 June 1994, UT1-UTC=-0.2044087, Accumulated Leap Seconds=28 + { 2449525.50, 60.389822 }, //22 June 1994, UT1-UTC=-0.2058218, Accumulated Leap Seconds=28 + { 2449526.50, 60.391102 }, //23 June 1994, UT1-UTC=-0.2071025, Accumulated Leap Seconds=28 + { 2449527.50, 60.392322 }, //24 June 1994, UT1-UTC=-0.2083225, Accumulated Leap Seconds=28 + { 2449528.50, 60.393544 }, //25 June 1994, UT1-UTC=-0.2095437, Accumulated Leap Seconds=28 + { 2449529.50, 60.394808 }, //26 June 1994, UT1-UTC=-0.2108083, Accumulated Leap Seconds=28 + { 2449530.50, 60.396121 }, //27 June 1994, UT1-UTC=-0.2121210, Accumulated Leap Seconds=28 + { 2449531.50, 60.397461 }, //28 June 1994, UT1-UTC=-0.2134615, Accumulated Leap Seconds=28 + { 2449532.50, 60.398783 }, //29 June 1994, UT1-UTC=-0.2147828, Accumulated Leap Seconds=28 + { 2449533.50, 60.400023 }, //30 June 1994, UT1-UTC=-0.2160228, Accumulated Leap Seconds=28 + { 2449534.50, 60.401189 }, //01 July 1994, UT1-UTC= 0.7828109, Accumulated Leap Seconds=29 + { 2449535.50, 60.402302 }, //02 July 1994, UT1-UTC= 0.7816975, Accumulated Leap Seconds=29 + { 2449536.50, 60.403348 }, //03 July 1994, UT1-UTC= 0.7806515, Accumulated Leap Seconds=29 + { 2449537.50, 60.404321 }, //04 July 1994, UT1-UTC= 0.7796789, Accumulated Leap Seconds=29 + { 2449538.50, 60.405229 }, //05 July 1994, UT1-UTC= 0.7787705, Accumulated Leap Seconds=29 + { 2449539.50, 60.406096 }, //06 July 1994, UT1-UTC= 0.7779035, Accumulated Leap Seconds=29 + { 2449540.50, 60.406955 }, //07 July 1994, UT1-UTC= 0.7770447, Accumulated Leap Seconds=29 + { 2449541.50, 60.407870 }, //08 July 1994, UT1-UTC= 0.7761297, Accumulated Leap Seconds=29 + { 2449542.50, 60.408926 }, //09 July 1994, UT1-UTC= 0.7750741, Accumulated Leap Seconds=29 + { 2449543.50, 60.410167 }, //10 July 1994, UT1-UTC= 0.7738328, Accumulated Leap Seconds=29 + { 2449544.50, 60.411610 }, //11 July 1994, UT1-UTC= 0.7723900, Accumulated Leap Seconds=29 + { 2449545.50, 60.413245 }, //12 July 1994, UT1-UTC= 0.7707553, Accumulated Leap Seconds=29 + { 2449546.50, 60.415033 }, //13 July 1994, UT1-UTC= 0.7689669, Accumulated Leap Seconds=29 + { 2449547.50, 60.416921 }, //14 July 1994, UT1-UTC= 0.7670791, Accumulated Leap Seconds=29 + { 2449548.50, 60.418839 }, //15 July 1994, UT1-UTC= 0.7651605, Accumulated Leap Seconds=29 + { 2449549.50, 60.420744 }, //16 July 1994, UT1-UTC= 0.7632557, Accumulated Leap Seconds=29 + { 2449550.50, 60.422571 }, //17 July 1994, UT1-UTC= 0.7614293, Accumulated Leap Seconds=29 + { 2449551.50, 60.424268 }, //18 July 1994, UT1-UTC= 0.7597324, Accumulated Leap Seconds=29 + { 2449552.50, 60.425812 }, //19 July 1994, UT1-UTC= 0.7581883, Accumulated Leap Seconds=29 + { 2449553.50, 60.427212 }, //20 July 1994, UT1-UTC= 0.7567882, Accumulated Leap Seconds=29 + { 2449554.50, 60.428511 }, //21 July 1994, UT1-UTC= 0.7554893, Accumulated Leap Seconds=29 + { 2449555.50, 60.429791 }, //22 July 1994, UT1-UTC= 0.7542091, Accumulated Leap Seconds=29 + { 2449556.50, 60.431135 }, //23 July 1994, UT1-UTC= 0.7528648, Accumulated Leap Seconds=29 + { 2449557.50, 60.432580 }, //24 July 1994, UT1-UTC= 0.7514198, Accumulated Leap Seconds=29 + { 2449558.50, 60.434102 }, //25 July 1994, UT1-UTC= 0.7498981, Accumulated Leap Seconds=29 + { 2449559.50, 60.435655 }, //26 July 1994, UT1-UTC= 0.7483448, Accumulated Leap Seconds=29 + { 2449560.50, 60.437188 }, //27 July 1994, UT1-UTC= 0.7468115, Accumulated Leap Seconds=29 + { 2449561.50, 60.438660 }, //28 July 1994, UT1-UTC= 0.7453400, Accumulated Leap Seconds=29 + { 2449562.50, 60.440073 }, //29 July 1994, UT1-UTC= 0.7439266, Accumulated Leap Seconds=29 + { 2449563.50, 60.441446 }, //30 July 1994, UT1-UTC= 0.7425542, Accumulated Leap Seconds=29 + { 2449564.50, 60.442759 }, //31 July 1994, UT1-UTC= 0.7412412, Accumulated Leap Seconds=29 + { 2449565.50, 60.443996 }, //01 August 1994, UT1-UTC= 0.7400041, Accumulated Leap Seconds=29 + { 2449566.50, 60.445155 }, //02 August 1994, UT1-UTC= 0.7388451, Accumulated Leap Seconds=29 + { 2449567.50, 60.446263 }, //03 August 1994, UT1-UTC= 0.7377366, Accumulated Leap Seconds=29 + { 2449568.50, 60.447402 }, //04 August 1994, UT1-UTC= 0.7365978, Accumulated Leap Seconds=29 + { 2449569.50, 60.448625 }, //05 August 1994, UT1-UTC= 0.7353751, Accumulated Leap Seconds=29 + { 2449570.50, 60.449965 }, //06 August 1994, UT1-UTC= 0.7340345, Accumulated Leap Seconds=29 + { 2449571.50, 60.451447 }, //07 August 1994, UT1-UTC= 0.7325534, Accumulated Leap Seconds=29 + { 2449572.50, 60.453063 }, //08 August 1994, UT1-UTC= 0.7309369, Accumulated Leap Seconds=29 + { 2449573.50, 60.454782 }, //09 August 1994, UT1-UTC= 0.7292178, Accumulated Leap Seconds=29 + { 2449574.50, 60.456543 }, //10 August 1994, UT1-UTC= 0.7274568, Accumulated Leap Seconds=29 + { 2449575.50, 60.458310 }, //11 August 1994, UT1-UTC= 0.7256896, Accumulated Leap Seconds=29 + { 2449576.50, 60.460021 }, //12 August 1994, UT1-UTC= 0.7239789, Accumulated Leap Seconds=29 + { 2449577.50, 60.461607 }, //13 August 1994, UT1-UTC= 0.7223926, Accumulated Leap Seconds=29 + { 2449578.50, 60.463036 }, //14 August 1994, UT1-UTC= 0.7209637, Accumulated Leap Seconds=29 + { 2449579.50, 60.464327 }, //15 August 1994, UT1-UTC= 0.7196732, Accumulated Leap Seconds=29 + { 2449580.50, 60.465542 }, //16 August 1994, UT1-UTC= 0.7184578, Accumulated Leap Seconds=29 + { 2449581.50, 60.466756 }, //17 August 1994, UT1-UTC= 0.7172443, Accumulated Leap Seconds=29 + { 2449582.50, 60.468012 }, //18 August 1994, UT1-UTC= 0.7159879, Accumulated Leap Seconds=29 + { 2449583.50, 60.469359 }, //19 August 1994, UT1-UTC= 0.7146405, Accumulated Leap Seconds=29 + { 2449584.50, 60.470828 }, //20 August 1994, UT1-UTC= 0.7131720, Accumulated Leap Seconds=29 + { 2449585.50, 60.472423 }, //21 August 1994, UT1-UTC= 0.7115773, Accumulated Leap Seconds=29 + { 2449586.50, 60.474123 }, //22 August 1994, UT1-UTC= 0.7098773, Accumulated Leap Seconds=29 + { 2449587.50, 60.475887 }, //23 August 1994, UT1-UTC= 0.7081134, Accumulated Leap Seconds=29 + { 2449588.50, 60.477666 }, //24 August 1994, UT1-UTC= 0.7063344, Accumulated Leap Seconds=29 + { 2449589.50, 60.479406 }, //25 August 1994, UT1-UTC= 0.7045941, Accumulated Leap Seconds=29 + { 2449590.50, 60.481065 }, //26 August 1994, UT1-UTC= 0.7029353, Accumulated Leap Seconds=29 + { 2449591.50, 60.482661 }, //27 August 1994, UT1-UTC= 0.7013388, Accumulated Leap Seconds=29 + { 2449592.50, 60.484199 }, //28 August 1994, UT1-UTC= 0.6998011, Accumulated Leap Seconds=29 + { 2449593.50, 60.485681 }, //29 August 1994, UT1-UTC= 0.6983189, Accumulated Leap Seconds=29 + { 2449594.50, 60.487120 }, //30 August 1994, UT1-UTC= 0.6968799, Accumulated Leap Seconds=29 + { 2449595.50, 60.488545 }, //31 August 1994, UT1-UTC= 0.6954548, Accumulated Leap Seconds=29 + { 2449596.50, 60.490026 }, //01 September 1994, UT1-UTC= 0.6939743, Accumulated Leap Seconds=29 + { 2449597.50, 60.491634 }, //02 September 1994, UT1-UTC= 0.6923658, Accumulated Leap Seconds=29 + { 2449598.50, 60.493424 }, //03 September 1994, UT1-UTC= 0.6905762, Accumulated Leap Seconds=29 + { 2449599.50, 60.495433 }, //04 September 1994, UT1-UTC= 0.6885671, Accumulated Leap Seconds=29 + { 2449600.50, 60.497665 }, //05 September 1994, UT1-UTC= 0.6863347, Accumulated Leap Seconds=29 + { 2449601.50, 60.500079 }, //06 September 1994, UT1-UTC= 0.6839213, Accumulated Leap Seconds=29 + { 2449602.50, 60.502593 }, //07 September 1994, UT1-UTC= 0.6814073, Accumulated Leap Seconds=29 + { 2449603.50, 60.505124 }, //08 September 1994, UT1-UTC= 0.6788759, Accumulated Leap Seconds=29 + { 2449604.50, 60.507655 }, //09 September 1994, UT1-UTC= 0.6763445, Accumulated Leap Seconds=29 + { 2449605.50, 60.510109 }, //10 September 1994, UT1-UTC= 0.6738905, Accumulated Leap Seconds=29 + { 2449606.50, 60.512456 }, //11 September 1994, UT1-UTC= 0.6715435, Accumulated Leap Seconds=29 + { 2449607.50, 60.514712 }, //12 September 1994, UT1-UTC= 0.6692876, Accumulated Leap Seconds=29 + { 2449608.50, 60.516924 }, //13 September 1994, UT1-UTC= 0.6670763, Accumulated Leap Seconds=29 + { 2449609.50, 60.519146 }, //14 September 1994, UT1-UTC= 0.6648538, Accumulated Leap Seconds=29 + { 2449610.50, 60.521425 }, //15 September 1994, UT1-UTC= 0.6625752, Accumulated Leap Seconds=29 + { 2449611.50, 60.523803 }, //16 September 1994, UT1-UTC= 0.6601972, Accumulated Leap Seconds=29 + { 2449612.50, 60.526306 }, //17 September 1994, UT1-UTC= 0.6576935, Accumulated Leap Seconds=29 + { 2449613.50, 60.528901 }, //18 September 1994, UT1-UTC= 0.6550986, Accumulated Leap Seconds=29 + { 2449614.50, 60.531529 }, //19 September 1994, UT1-UTC= 0.6524714, Accumulated Leap Seconds=29 + { 2449615.50, 60.534127 }, //20 September 1994, UT1-UTC= 0.6498729, Accumulated Leap Seconds=29 + { 2449616.50, 60.536649 }, //21 September 1994, UT1-UTC= 0.6473512, Accumulated Leap Seconds=29 + { 2449617.50, 60.539082 }, //22 September 1994, UT1-UTC= 0.6449183, Accumulated Leap Seconds=29 + { 2449618.50, 60.541401 }, //23 September 1994, UT1-UTC= 0.6425989, Accumulated Leap Seconds=29 + { 2449619.50, 60.543591 }, //24 September 1994, UT1-UTC= 0.6404093, Accumulated Leap Seconds=29 + { 2449620.50, 60.545664 }, //25 September 1994, UT1-UTC= 0.6383363, Accumulated Leap Seconds=29 + { 2449621.50, 60.547652 }, //26 September 1994, UT1-UTC= 0.6363481, Accumulated Leap Seconds=29 + { 2449622.50, 60.549596 }, //27 September 1994, UT1-UTC= 0.6344044, Accumulated Leap Seconds=29 + { 2449623.50, 60.551538 }, //28 September 1994, UT1-UTC= 0.6324622, Accumulated Leap Seconds=29 + { 2449624.50, 60.553517 }, //29 September 1994, UT1-UTC= 0.6304832, Accumulated Leap Seconds=29 + { 2449625.50, 60.555587 }, //30 September 1994, UT1-UTC= 0.6284133, Accumulated Leap Seconds=29 + { 2449626.50, 60.557805 }, //01 October 1994, UT1-UTC= 0.6261946, Accumulated Leap Seconds=29 + { 2449627.50, 60.560208 }, //02 October 1994, UT1-UTC= 0.6237917, Accumulated Leap Seconds=29 + { 2449628.50, 60.562797 }, //03 October 1994, UT1-UTC= 0.6212025, Accumulated Leap Seconds=29 + { 2449629.50, 60.565549 }, //04 October 1994, UT1-UTC= 0.6184507, Accumulated Leap Seconds=29 + { 2449630.50, 60.568403 }, //05 October 1994, UT1-UTC= 0.6155973, Accumulated Leap Seconds=29 + { 2449631.50, 60.571256 }, //06 October 1994, UT1-UTC= 0.6127436, Accumulated Leap Seconds=29 + { 2449632.50, 60.573997 }, //07 October 1994, UT1-UTC= 0.6100033, Accumulated Leap Seconds=29 + { 2449633.50, 60.576564 }, //08 October 1994, UT1-UTC= 0.6074360, Accumulated Leap Seconds=29 + { 2449634.50, 60.578974 }, //09 October 1994, UT1-UTC= 0.6050261, Accumulated Leap Seconds=29 + { 2449635.50, 60.581286 }, //10 October 1994, UT1-UTC= 0.6027139, Accumulated Leap Seconds=29 + { 2449636.50, 60.583574 }, //11 October 1994, UT1-UTC= 0.6004259, Accumulated Leap Seconds=29 + { 2449637.50, 60.585900 }, //12 October 1994, UT1-UTC= 0.5981002, Accumulated Leap Seconds=29 + { 2449638.50, 60.588296 }, //13 October 1994, UT1-UTC= 0.5957037, Accumulated Leap Seconds=29 + { 2449639.50, 60.590765 }, //14 October 1994, UT1-UTC= 0.5932348, Accumulated Leap Seconds=29 + { 2449640.50, 60.593287 }, //15 October 1994, UT1-UTC= 0.5907126, Accumulated Leap Seconds=29 + { 2449641.50, 60.595825 }, //16 October 1994, UT1-UTC= 0.5881747, Accumulated Leap Seconds=29 + { 2449642.50, 60.598327 }, //17 October 1994, UT1-UTC= 0.5856728, Accumulated Leap Seconds=29 + { 2449643.50, 60.600737 }, //18 October 1994, UT1-UTC= 0.5832630, Accumulated Leap Seconds=29 + { 2449644.50, 60.603010 }, //19 October 1994, UT1-UTC= 0.5809904, Accumulated Leap Seconds=29 + { 2449645.50, 60.605143 }, //20 October 1994, UT1-UTC= 0.5788572, Accumulated Leap Seconds=29 + { 2449646.50, 60.607176 }, //21 October 1994, UT1-UTC= 0.5768235, Accumulated Leap Seconds=29 + { 2449647.50, 60.609147 }, //22 October 1994, UT1-UTC= 0.5748526, Accumulated Leap Seconds=29 + { 2449648.50, 60.611083 }, //23 October 1994, UT1-UTC= 0.5729171, Accumulated Leap Seconds=29 + { 2449649.50, 60.613017 }, //24 October 1994, UT1-UTC= 0.5709825, Accumulated Leap Seconds=29 + { 2449650.50, 60.614991 }, //25 October 1994, UT1-UTC= 0.5690086, Accumulated Leap Seconds=29 + { 2449651.50, 60.617048 }, //26 October 1994, UT1-UTC= 0.5669519, Accumulated Leap Seconds=29 + { 2449652.50, 60.619223 }, //27 October 1994, UT1-UTC= 0.5647765, Accumulated Leap Seconds=29 + { 2449653.50, 60.621540 }, //28 October 1994, UT1-UTC= 0.5624601, Accumulated Leap Seconds=29 + { 2449654.50, 60.624024 }, //29 October 1994, UT1-UTC= 0.5599758, Accumulated Leap Seconds=29 + { 2449655.50, 60.626689 }, //30 October 1994, UT1-UTC= 0.5573114, Accumulated Leap Seconds=29 + { 2449656.50, 60.629513 }, //31 October 1994, UT1-UTC= 0.5544868, Accumulated Leap Seconds=29 + { 2449657.50, 60.632445 }, //01 November 1994, UT1-UTC= 0.5515554, Accumulated Leap Seconds=29 + { 2449658.50, 60.635404 }, //02 November 1994, UT1-UTC= 0.5485957, Accumulated Leap Seconds=29 + { 2449659.50, 60.638302 }, //03 November 1994, UT1-UTC= 0.5456979, Accumulated Leap Seconds=29 + { 2449660.50, 60.641052 }, //04 November 1994, UT1-UTC= 0.5429476, Accumulated Leap Seconds=29 + { 2449661.50, 60.643625 }, //05 November 1994, UT1-UTC= 0.5403745, Accumulated Leap Seconds=29 + { 2449662.50, 60.646049 }, //06 November 1994, UT1-UTC= 0.5379513, Accumulated Leap Seconds=29 + { 2449663.50, 60.648385 }, //07 November 1994, UT1-UTC= 0.5356145, Accumulated Leap Seconds=29 + { 2449664.50, 60.650696 }, //08 November 1994, UT1-UTC= 0.5333038, Accumulated Leap Seconds=29 + { 2449665.50, 60.653025 }, //09 November 1994, UT1-UTC= 0.5309748, Accumulated Leap Seconds=29 + { 2449666.50, 60.655416 }, //10 November 1994, UT1-UTC= 0.5285843, Accumulated Leap Seconds=29 + { 2449667.50, 60.657871 }, //11 November 1994, UT1-UTC= 0.5261290, Accumulated Leap Seconds=29 + { 2449668.50, 60.660370 }, //12 November 1994, UT1-UTC= 0.5236296, Accumulated Leap Seconds=29 + { 2449669.50, 60.662880 }, //13 November 1994, UT1-UTC= 0.5211201, Accumulated Leap Seconds=29 + { 2449670.50, 60.665365 }, //14 November 1994, UT1-UTC= 0.5186349, Accumulated Leap Seconds=29 + { 2449671.50, 60.667799 }, //15 November 1994, UT1-UTC= 0.5162007, Accumulated Leap Seconds=29 + { 2449672.50, 60.670163 }, //16 November 1994, UT1-UTC= 0.5138370, Accumulated Leap Seconds=29 + { 2449673.50, 60.672440 }, //17 November 1994, UT1-UTC= 0.5115599, Accumulated Leap Seconds=29 + { 2449674.50, 60.674621 }, //18 November 1994, UT1-UTC= 0.5093791, Accumulated Leap Seconds=29 + { 2449675.50, 60.676713 }, //19 November 1994, UT1-UTC= 0.5072870, Accumulated Leap Seconds=29 + { 2449676.50, 60.678743 }, //20 November 1994, UT1-UTC= 0.5052570, Accumulated Leap Seconds=29 + { 2449677.50, 60.680757 }, //21 November 1994, UT1-UTC= 0.5032430, Accumulated Leap Seconds=29 + { 2449678.50, 60.682809 }, //22 November 1994, UT1-UTC= 0.5011910, Accumulated Leap Seconds=29 + { 2449679.50, 60.684953 }, //23 November 1994, UT1-UTC= 0.4990469, Accumulated Leap Seconds=29 + { 2449680.50, 60.687237 }, //24 November 1994, UT1-UTC= 0.4967631, Accumulated Leap Seconds=29 + { 2449681.50, 60.689678 }, //25 November 1994, UT1-UTC= 0.4943220, Accumulated Leap Seconds=29 + { 2449682.50, 60.692267 }, //26 November 1994, UT1-UTC= 0.4917334, Accumulated Leap Seconds=29 + { 2449683.50, 60.694974 }, //27 November 1994, UT1-UTC= 0.4890261, Accumulated Leap Seconds=29 + { 2449684.50, 60.697751 }, //28 November 1994, UT1-UTC= 0.4862486, Accumulated Leap Seconds=29 + { 2449685.50, 60.700527 }, //29 November 1994, UT1-UTC= 0.4834729, Accumulated Leap Seconds=29 + { 2449686.50, 60.703232 }, //30 November 1994, UT1-UTC= 0.4807677, Accumulated Leap Seconds=29 + { 2449687.50, 60.705857 }, //01 December 1994, UT1-UTC= 0.4781431, Accumulated Leap Seconds=29 + { 2449688.50, 60.708378 }, //02 December 1994, UT1-UTC= 0.4756221, Accumulated Leap Seconds=29 + { 2449689.50, 60.710784 }, //03 December 1994, UT1-UTC= 0.4732160, Accumulated Leap Seconds=29 + { 2449690.50, 60.713107 }, //04 December 1994, UT1-UTC= 0.4708927, Accumulated Leap Seconds=29 + { 2449691.50, 60.715407 }, //05 December 1994, UT1-UTC= 0.4685931, Accumulated Leap Seconds=29 + { 2449692.50, 60.717747 }, //06 December 1994, UT1-UTC= 0.4662530, Accumulated Leap Seconds=29 + { 2449693.50, 60.720161 }, //07 December 1994, UT1-UTC= 0.4638394, Accumulated Leap Seconds=29 + { 2449694.50, 60.722637 }, //08 December 1994, UT1-UTC= 0.4613633, Accumulated Leap Seconds=29 + { 2449695.50, 60.725143 }, //09 December 1994, UT1-UTC= 0.4588573, Accumulated Leap Seconds=29 + { 2449696.50, 60.727649 }, //10 December 1994, UT1-UTC= 0.4563510, Accumulated Leap Seconds=29 + { 2449697.50, 60.730134 }, //11 December 1994, UT1-UTC= 0.4538660, Accumulated Leap Seconds=29 + { 2449698.50, 60.732583 }, //12 December 1994, UT1-UTC= 0.4514165, Accumulated Leap Seconds=29 + { 2449699.50, 60.734991 }, //13 December 1994, UT1-UTC= 0.4490087, Accumulated Leap Seconds=29 + { 2449700.50, 60.737348 }, //14 December 1994, UT1-UTC= 0.4466520, Accumulated Leap Seconds=29 + { 2449701.50, 60.739617 }, //15 December 1994, UT1-UTC= 0.4443833, Accumulated Leap Seconds=29 + { 2449702.50, 60.741830 }, //16 December 1994, UT1-UTC= 0.4421698, Accumulated Leap Seconds=29 + { 2449703.50, 60.744035 }, //17 December 1994, UT1-UTC= 0.4399654, Accumulated Leap Seconds=29 + { 2449704.50, 60.746284 }, //18 December 1994, UT1-UTC= 0.4377156, Accumulated Leap Seconds=29 + { 2449705.50, 60.748628 }, //19 December 1994, UT1-UTC= 0.4353719, Accumulated Leap Seconds=29 + { 2449706.50, 60.751110 }, //20 December 1994, UT1-UTC= 0.4328901, Accumulated Leap Seconds=29 + { 2449707.50, 60.753753 }, //21 December 1994, UT1-UTC= 0.4302465, Accumulated Leap Seconds=29 + { 2449708.50, 60.756518 }, //22 December 1994, UT1-UTC= 0.4274816, Accumulated Leap Seconds=29 + { 2449709.50, 60.759389 }, //23 December 1994, UT1-UTC= 0.4246107, Accumulated Leap Seconds=29 + { 2449710.50, 60.762363 }, //24 December 1994, UT1-UTC= 0.4216372, Accumulated Leap Seconds=29 + { 2449711.50, 60.765412 }, //25 December 1994, UT1-UTC= 0.4185881, Accumulated Leap Seconds=29 + { 2449712.50, 60.768489 }, //26 December 1994, UT1-UTC= 0.4155109, Accumulated Leap Seconds=29 + { 2449713.50, 60.771536 }, //27 December 1994, UT1-UTC= 0.4124641, Accumulated Leap Seconds=29 + { 2449714.50, 60.774495 }, //28 December 1994, UT1-UTC= 0.4095048, Accumulated Leap Seconds=29 + { 2449715.50, 60.777334 }, //29 December 1994, UT1-UTC= 0.4066659, Accumulated Leap Seconds=29 + { 2449716.50, 60.780044 }, //30 December 1994, UT1-UTC= 0.4039556, Accumulated Leap Seconds=29 + { 2449717.50, 60.782693 }, //31 December 1994, UT1-UTC= 0.4013070, Accumulated Leap Seconds=29 + { 2449718.50, 60.785348 }, //01 January 1995, UT1-UTC= 0.3986518, Accumulated Leap Seconds=29 + { 2449719.50, 60.788070 }, //02 January 1995, UT1-UTC= 0.3959303, Accumulated Leap Seconds=29 + { 2449720.50, 60.790897 }, //03 January 1995, UT1-UTC= 0.3931028, Accumulated Leap Seconds=29 + { 2449721.50, 60.793831 }, //04 January 1995, UT1-UTC= 0.3901693, Accumulated Leap Seconds=29 + { 2449722.50, 60.796826 }, //05 January 1995, UT1-UTC= 0.3871735, Accumulated Leap Seconds=29 + { 2449723.50, 60.799809 }, //06 January 1995, UT1-UTC= 0.3841909, Accumulated Leap Seconds=29 + { 2449724.50, 60.802717 }, //07 January 1995, UT1-UTC= 0.3812834, Accumulated Leap Seconds=29 + { 2449725.50, 60.805502 }, //08 January 1995, UT1-UTC= 0.3784981, Accumulated Leap Seconds=29 + { 2449726.50, 60.808135 }, //09 January 1995, UT1-UTC= 0.3758648, Accumulated Leap Seconds=29 + { 2449727.50, 60.810602 }, //10 January 1995, UT1-UTC= 0.3733976, Accumulated Leap Seconds=29 + { 2449728.50, 60.812908 }, //11 January 1995, UT1-UTC= 0.3710918, Accumulated Leap Seconds=29 + { 2449729.50, 60.815095 }, //12 January 1995, UT1-UTC= 0.3689052, Accumulated Leap Seconds=29 + { 2449730.50, 60.817208 }, //13 January 1995, UT1-UTC= 0.3667916, Accumulated Leap Seconds=29 + { 2449731.50, 60.819288 }, //14 January 1995, UT1-UTC= 0.3647120, Accumulated Leap Seconds=29 + { 2449732.50, 60.821380 }, //15 January 1995, UT1-UTC= 0.3626203, Accumulated Leap Seconds=29 + { 2449733.50, 60.823521 }, //16 January 1995, UT1-UTC= 0.3604790, Accumulated Leap Seconds=29 + { 2449734.50, 60.825741 }, //17 January 1995, UT1-UTC= 0.3582594, Accumulated Leap Seconds=29 + { 2449735.50, 60.828070 }, //18 January 1995, UT1-UTC= 0.3559299, Accumulated Leap Seconds=29 + { 2449736.50, 60.830554 }, //19 January 1995, UT1-UTC= 0.3534465, Accumulated Leap Seconds=29 + { 2449737.50, 60.833176 }, //20 January 1995, UT1-UTC= 0.3508239, Accumulated Leap Seconds=29 + { 2449738.50, 60.835911 }, //21 January 1995, UT1-UTC= 0.3480889, Accumulated Leap Seconds=29 + { 2449739.50, 60.838722 }, //22 January 1995, UT1-UTC= 0.3452784, Accumulated Leap Seconds=29 + { 2449740.50, 60.841566 }, //23 January 1995, UT1-UTC= 0.3424344, Accumulated Leap Seconds=29 + { 2449741.50, 60.844394 }, //24 January 1995, UT1-UTC= 0.3396055, Accumulated Leap Seconds=29 + { 2449742.50, 60.847167 }, //25 January 1995, UT1-UTC= 0.3368327, Accumulated Leap Seconds=29 + { 2449743.50, 60.849880 }, //26 January 1995, UT1-UTC= 0.3341203, Accumulated Leap Seconds=29 + { 2449744.50, 60.852551 }, //27 January 1995, UT1-UTC= 0.3314486, Accumulated Leap Seconds=29 + { 2449745.50, 60.855203 }, //28 January 1995, UT1-UTC= 0.3287973, Accumulated Leap Seconds=29 + { 2449746.50, 60.857885 }, //29 January 1995, UT1-UTC= 0.3261154, Accumulated Leap Seconds=29 + { 2449747.50, 60.860637 }, //30 January 1995, UT1-UTC= 0.3233627, Accumulated Leap Seconds=29 + { 2449748.50, 60.863469 }, //31 January 1995, UT1-UTC= 0.3205310, Accumulated Leap Seconds=29 + { 2449749.50, 60.866350 }, //01 February 1995, UT1-UTC= 0.3176496, Accumulated Leap Seconds=29 + { 2449750.50, 60.869234 }, //02 February 1995, UT1-UTC= 0.3147658, Accumulated Leap Seconds=29 + { 2449751.50, 60.872096 }, //03 February 1995, UT1-UTC= 0.3119044, Accumulated Leap Seconds=29 + { 2449752.50, 60.874918 }, //04 February 1995, UT1-UTC= 0.3090820, Accumulated Leap Seconds=29 + { 2449753.50, 60.877666 }, //05 February 1995, UT1-UTC= 0.3063335, Accumulated Leap Seconds=29 + { 2449754.50, 60.880317 }, //06 February 1995, UT1-UTC= 0.3036832, Accumulated Leap Seconds=29 + { 2449755.50, 60.882846 }, //07 February 1995, UT1-UTC= 0.3011537, Accumulated Leap Seconds=29 + { 2449756.50, 60.885237 }, //08 February 1995, UT1-UTC= 0.2987626, Accumulated Leap Seconds=29 + { 2449757.50, 60.887499 }, //09 February 1995, UT1-UTC= 0.2965010, Accumulated Leap Seconds=29 + { 2449758.50, 60.889692 }, //10 February 1995, UT1-UTC= 0.2943080, Accumulated Leap Seconds=29 + { 2449759.50, 60.891857 }, //11 February 1995, UT1-UTC= 0.2921430, Accumulated Leap Seconds=29 + { 2449760.50, 60.894031 }, //12 February 1995, UT1-UTC= 0.2899689, Accumulated Leap Seconds=29 + { 2449761.50, 60.896265 }, //13 February 1995, UT1-UTC= 0.2877352, Accumulated Leap Seconds=29 + { 2449762.50, 60.898604 }, //14 February 1995, UT1-UTC= 0.2853965, Accumulated Leap Seconds=29 + { 2449763.50, 60.901084 }, //15 February 1995, UT1-UTC= 0.2829157, Accumulated Leap Seconds=29 + { 2449764.50, 60.903734 }, //16 February 1995, UT1-UTC= 0.2802655, Accumulated Leap Seconds=29 + { 2449765.50, 60.906517 }, //17 February 1995, UT1-UTC= 0.2774826, Accumulated Leap Seconds=29 + { 2449766.50, 60.909361 }, //18 February 1995, UT1-UTC= 0.2746389, Accumulated Leap Seconds=29 + { 2449767.50, 60.912200 }, //19 February 1995, UT1-UTC= 0.2718002, Accumulated Leap Seconds=29 + { 2449768.50, 60.914974 }, //20 February 1995, UT1-UTC= 0.2690260, Accumulated Leap Seconds=29 + { 2449769.50, 60.917645 }, //21 February 1995, UT1-UTC= 0.2663551, Accumulated Leap Seconds=29 + { 2449770.50, 60.920205 }, //22 February 1995, UT1-UTC= 0.2637950, Accumulated Leap Seconds=29 + { 2449771.50, 60.922678 }, //23 February 1995, UT1-UTC= 0.2613224, Accumulated Leap Seconds=29 + { 2449772.50, 60.925118 }, //24 February 1995, UT1-UTC= 0.2588823, Accumulated Leap Seconds=29 + { 2449773.50, 60.927601 }, //25 February 1995, UT1-UTC= 0.2563985, Accumulated Leap Seconds=29 + { 2449774.50, 60.930184 }, //26 February 1995, UT1-UTC= 0.2538155, Accumulated Leap Seconds=29 + { 2449775.50, 60.932896 }, //27 February 1995, UT1-UTC= 0.2511036, Accumulated Leap Seconds=29 + { 2449776.50, 60.935733 }, //28 February 1995, UT1-UTC= 0.2482672, Accumulated Leap Seconds=29 + { 2449777.50, 60.938667 }, //01 March 1995, UT1-UTC= 0.2453328, Accumulated Leap Seconds=29 + { 2449778.50, 60.941672 }, //02 March 1995, UT1-UTC= 0.2423278, Accumulated Leap Seconds=29 + { 2449779.50, 60.944717 }, //03 March 1995, UT1-UTC= 0.2392832, Accumulated Leap Seconds=29 + { 2449780.50, 60.947771 }, //04 March 1995, UT1-UTC= 0.2362293, Accumulated Leap Seconds=29 + { 2449781.50, 60.950780 }, //05 March 1995, UT1-UTC= 0.2332196, Accumulated Leap Seconds=29 + { 2449782.50, 60.953697 }, //06 March 1995, UT1-UTC= 0.2303025, Accumulated Leap Seconds=29 + { 2449783.50, 60.956492 }, //07 March 1995, UT1-UTC= 0.2275077, Accumulated Leap Seconds=29 + { 2449784.50, 60.959163 }, //08 March 1995, UT1-UTC= 0.2248365, Accumulated Leap Seconds=29 + { 2449785.50, 60.961786 }, //09 March 1995, UT1-UTC= 0.2222144, Accumulated Leap Seconds=29 + { 2449786.50, 60.964429 }, //10 March 1995, UT1-UTC= 0.2195706, Accumulated Leap Seconds=29 + { 2449787.50, 60.967129 }, //11 March 1995, UT1-UTC= 0.2168712, Accumulated Leap Seconds=29 + { 2449788.50, 60.969901 }, //12 March 1995, UT1-UTC= 0.2140985, Accumulated Leap Seconds=29 + { 2449789.50, 60.972763 }, //13 March 1995, UT1-UTC= 0.2112374, Accumulated Leap Seconds=29 + { 2449790.50, 60.975712 }, //14 March 1995, UT1-UTC= 0.2082877, Accumulated Leap Seconds=29 + { 2449791.50, 60.978753 }, //15 March 1995, UT1-UTC= 0.2052470, Accumulated Leap Seconds=29 + { 2449792.50, 60.981913 }, //16 March 1995, UT1-UTC= 0.2020871, Accumulated Leap Seconds=29 + { 2449793.50, 60.985170 }, //17 March 1995, UT1-UTC= 0.1988304, Accumulated Leap Seconds=29 + { 2449794.50, 60.988465 }, //18 March 1995, UT1-UTC= 0.1955348, Accumulated Leap Seconds=29 + { 2449795.50, 60.991720 }, //19 March 1995, UT1-UTC= 0.1922801, Accumulated Leap Seconds=29 + { 2449796.50, 60.994859 }, //20 March 1995, UT1-UTC= 0.1891405, Accumulated Leap Seconds=29 + { 2449797.50, 60.997811 }, //21 March 1995, UT1-UTC= 0.1861891, Accumulated Leap Seconds=29 + { 2449798.50, 61.000537 }, //22 March 1995, UT1-UTC= 0.1834628, Accumulated Leap Seconds=29 + { 2449799.50, 61.003077 }, //23 March 1995, UT1-UTC= 0.1809230, Accumulated Leap Seconds=29 + { 2449800.50, 61.005551 }, //24 March 1995, UT1-UTC= 0.1784494, Accumulated Leap Seconds=29 + { 2449801.50, 61.008063 }, //25 March 1995, UT1-UTC= 0.1759369, Accumulated Leap Seconds=29 + { 2449802.50, 61.010668 }, //26 March 1995, UT1-UTC= 0.1733321, Accumulated Leap Seconds=29 + { 2449803.50, 61.013382 }, //27 March 1995, UT1-UTC= 0.1706177, Accumulated Leap Seconds=29 + { 2449804.50, 61.016195 }, //28 March 1995, UT1-UTC= 0.1678049, Accumulated Leap Seconds=29 + { 2449805.50, 61.019072 }, //29 March 1995, UT1-UTC= 0.1649277, Accumulated Leap Seconds=29 + { 2449806.50, 61.021975 }, //30 March 1995, UT1-UTC= 0.1620246, Accumulated Leap Seconds=29 + { 2449807.50, 61.024857 }, //31 March 1995, UT1-UTC= 0.1591432, Accumulated Leap Seconds=29 + { 2449808.50, 61.027676 }, //01 April 1995, UT1-UTC= 0.1563243, Accumulated Leap Seconds=29 + { 2449809.50, 61.030410 }, //02 April 1995, UT1-UTC= 0.1535896, Accumulated Leap Seconds=29 + { 2449810.50, 61.033052 }, //03 April 1995, UT1-UTC= 0.1509483, Accumulated Leap Seconds=29 + { 2449811.50, 61.035602 }, //04 April 1995, UT1-UTC= 0.1483982, Accumulated Leap Seconds=29 + { 2449812.50, 61.038068 }, //05 April 1995, UT1-UTC= 0.1459323, Accumulated Leap Seconds=29 + { 2449813.50, 61.040488 }, //06 April 1995, UT1-UTC= 0.1435124, Accumulated Leap Seconds=29 + { 2449814.50, 61.042930 }, //07 April 1995, UT1-UTC= 0.1410697, Accumulated Leap Seconds=29 + { 2449815.50, 61.045437 }, //08 April 1995, UT1-UTC= 0.1385627, Accumulated Leap Seconds=29 + { 2449816.50, 61.048021 }, //09 April 1995, UT1-UTC= 0.1359785, Accumulated Leap Seconds=29 + { 2449817.50, 61.050693 }, //10 April 1995, UT1-UTC= 0.1333072, Accumulated Leap Seconds=29 + { 2449818.50, 61.053490 }, //11 April 1995, UT1-UTC= 0.1305101, Accumulated Leap Seconds=29 + { 2449819.50, 61.056437 }, //12 April 1995, UT1-UTC= 0.1275625, Accumulated Leap Seconds=29 + { 2449820.50, 61.059529 }, //13 April 1995, UT1-UTC= 0.1244709, Accumulated Leap Seconds=29 + { 2449821.50, 61.062682 }, //14 April 1995, UT1-UTC= 0.1213176, Accumulated Leap Seconds=29 + { 2449822.50, 61.065828 }, //15 April 1995, UT1-UTC= 0.1181716, Accumulated Leap Seconds=29 + { 2449823.50, 61.068916 }, //16 April 1995, UT1-UTC= 0.1150839, Accumulated Leap Seconds=29 + { 2449824.50, 61.071908 }, //17 April 1995, UT1-UTC= 0.1120916, Accumulated Leap Seconds=29 + { 2449825.50, 61.074782 }, //18 April 1995, UT1-UTC= 0.1092185, Accumulated Leap Seconds=29 + { 2449826.50, 61.077545 }, //19 April 1995, UT1-UTC= 0.1064552, Accumulated Leap Seconds=29 + { 2449827.50, 61.080219 }, //20 April 1995, UT1-UTC= 0.1037807, Accumulated Leap Seconds=29 + { 2449828.50, 61.082869 }, //21 April 1995, UT1-UTC= 0.1011314, Accumulated Leap Seconds=29 + { 2449829.50, 61.085563 }, //22 April 1995, UT1-UTC= 0.0984366, Accumulated Leap Seconds=29 + { 2449830.50, 61.088327 }, //23 April 1995, UT1-UTC= 0.0956726, Accumulated Leap Seconds=29 + { 2449831.50, 61.091166 }, //24 April 1995, UT1-UTC= 0.0928337, Accumulated Leap Seconds=29 + { 2449832.50, 61.094066 }, //25 April 1995, UT1-UTC= 0.0899338, Accumulated Leap Seconds=29 + { 2449833.50, 61.096996 }, //26 April 1995, UT1-UTC= 0.0870036, Accumulated Leap Seconds=29 + { 2449834.50, 61.099898 }, //27 April 1995, UT1-UTC= 0.0841019, Accumulated Leap Seconds=29 + { 2449835.50, 61.102709 }, //28 April 1995, UT1-UTC= 0.0812909, Accumulated Leap Seconds=29 + { 2449836.50, 61.105392 }, //29 April 1995, UT1-UTC= 0.0786080, Accumulated Leap Seconds=29 + { 2449837.50, 61.107934 }, //30 April 1995, UT1-UTC= 0.0760659, Accumulated Leap Seconds=29 + { 2449838.50, 61.110345 }, //01 May 1995, UT1-UTC= 0.0736552, Accumulated Leap Seconds=29 + { 2449839.50, 61.112680 }, //02 May 1995, UT1-UTC= 0.0713203, Accumulated Leap Seconds=29 + { 2449840.50, 61.115005 }, //03 May 1995, UT1-UTC= 0.0689948, Accumulated Leap Seconds=29 + { 2449841.50, 61.117368 }, //04 May 1995, UT1-UTC= 0.0666317, Accumulated Leap Seconds=29 + { 2449842.50, 61.119790 }, //05 May 1995, UT1-UTC= 0.0642096, Accumulated Leap Seconds=29 + { 2449843.50, 61.122278 }, //06 May 1995, UT1-UTC= 0.0617218, Accumulated Leap Seconds=29 + { 2449844.50, 61.124832 }, //07 May 1995, UT1-UTC= 0.0591679, Accumulated Leap Seconds=29 + { 2449845.50, 61.127460 }, //08 May 1995, UT1-UTC= 0.0565402, Accumulated Leap Seconds=29 + { 2449846.50, 61.130200 }, //09 May 1995, UT1-UTC= 0.0537998, Accumulated Leap Seconds=29 + { 2449847.50, 61.133073 }, //10 May 1995, UT1-UTC= 0.0509274, Accumulated Leap Seconds=29 + { 2449848.50, 61.136058 }, //11 May 1995, UT1-UTC= 0.0479419, Accumulated Leap Seconds=29 + { 2449849.50, 61.139096 }, //12 May 1995, UT1-UTC= 0.0449044, Accumulated Leap Seconds=29 + { 2449850.50, 61.142097 }, //13 May 1995, UT1-UTC= 0.0419025, Accumulated Leap Seconds=29 + { 2449851.50, 61.145018 }, //14 May 1995, UT1-UTC= 0.0389823, Accumulated Leap Seconds=29 + { 2449852.50, 61.147841 }, //15 May 1995, UT1-UTC= 0.0361589, Accumulated Leap Seconds=29 + { 2449853.50, 61.150554 }, //16 May 1995, UT1-UTC= 0.0334457, Accumulated Leap Seconds=29 + { 2449854.50, 61.153174 }, //17 May 1995, UT1-UTC= 0.0308256, Accumulated Leap Seconds=29 + { 2449855.50, 61.155738 }, //18 May 1995, UT1-UTC= 0.0282623, Accumulated Leap Seconds=29 + { 2449856.50, 61.158287 }, //19 May 1995, UT1-UTC= 0.0257127, Accumulated Leap Seconds=29 + { 2449857.50, 61.160849 }, //20 May 1995, UT1-UTC= 0.0231514, Accumulated Leap Seconds=29 + { 2449858.50, 61.163419 }, //21 May 1995, UT1-UTC= 0.0205808, Accumulated Leap Seconds=29 + { 2449859.50, 61.165970 }, //22 May 1995, UT1-UTC= 0.0180304, Accumulated Leap Seconds=29 + { 2449860.50, 61.168461 }, //23 May 1995, UT1-UTC= 0.0155386, Accumulated Leap Seconds=29 + { 2449861.50, 61.170856 }, //24 May 1995, UT1-UTC= 0.0131440, Accumulated Leap Seconds=29 + { 2449862.50, 61.173132 }, //25 May 1995, UT1-UTC= 0.0108681, Accumulated Leap Seconds=29 + { 2449863.50, 61.175316 }, //26 May 1995, UT1-UTC= 0.0086836, Accumulated Leap Seconds=29 + { 2449864.50, 61.177419 }, //27 May 1995, UT1-UTC= 0.0065814, Accumulated Leap Seconds=29 + { 2449865.50, 61.179430 }, //28 May 1995, UT1-UTC= 0.0045701, Accumulated Leap Seconds=29 + { 2449866.50, 61.181370 }, //29 May 1995, UT1-UTC= 0.0026303, Accumulated Leap Seconds=29 + { 2449867.50, 61.183265 }, //30 May 1995, UT1-UTC= 0.0007350, Accumulated Leap Seconds=29 + { 2449868.50, 61.185146 }, //31 May 1995, UT1-UTC=-0.0011460, Accumulated Leap Seconds=29 + { 2449869.50, 61.187046 }, //01 June 1995, UT1-UTC=-0.0030458, Accumulated Leap Seconds=29 + { 2449870.50, 61.189009 }, //02 June 1995, UT1-UTC=-0.0050094, Accumulated Leap Seconds=29 + { 2449871.50, 61.191072 }, //03 June 1995, UT1-UTC=-0.0070721, Accumulated Leap Seconds=29 + { 2449872.50, 61.193248 }, //04 June 1995, UT1-UTC=-0.0092482, Accumulated Leap Seconds=29 + { 2449873.50, 61.195523 }, //05 June 1995, UT1-UTC=-0.0115228, Accumulated Leap Seconds=29 + { 2449874.50, 61.197880 }, //06 June 1995, UT1-UTC=-0.0138798, Accumulated Leap Seconds=29 + { 2449875.50, 61.200297 }, //07 June 1995, UT1-UTC=-0.0162974, Accumulated Leap Seconds=29 + { 2449876.50, 61.202757 }, //08 June 1995, UT1-UTC=-0.0187573, Accumulated Leap Seconds=29 + { 2449877.50, 61.205203 }, //09 June 1995, UT1-UTC=-0.0212035, Accumulated Leap Seconds=29 + { 2449878.50, 61.207574 }, //10 June 1995, UT1-UTC=-0.0235742, Accumulated Leap Seconds=29 + { 2449879.50, 61.209833 }, //11 June 1995, UT1-UTC=-0.0258332, Accumulated Leap Seconds=29 + { 2449880.50, 61.211976 }, //12 June 1995, UT1-UTC=-0.0279756, Accumulated Leap Seconds=29 + { 2449881.50, 61.214031 }, //13 June 1995, UT1-UTC=-0.0300312, Accumulated Leap Seconds=29 + { 2449882.50, 61.216068 }, //14 June 1995, UT1-UTC=-0.0320683, Accumulated Leap Seconds=29 + { 2449883.50, 61.218149 }, //15 June 1995, UT1-UTC=-0.0341489, Accumulated Leap Seconds=29 + { 2449884.50, 61.220274 }, //16 June 1995, UT1-UTC=-0.0362738, Accumulated Leap Seconds=29 + { 2449885.50, 61.222466 }, //17 June 1995, UT1-UTC=-0.0384656, Accumulated Leap Seconds=29 + { 2449886.50, 61.224709 }, //18 June 1995, UT1-UTC=-0.0407087, Accumulated Leap Seconds=29 + { 2449887.50, 61.226956 }, //19 June 1995, UT1-UTC=-0.0429558, Accumulated Leap Seconds=29 + { 2449888.50, 61.229157 }, //20 June 1995, UT1-UTC=-0.0451571, Accumulated Leap Seconds=29 + { 2449889.50, 61.231269 }, //21 June 1995, UT1-UTC=-0.0472689, Accumulated Leap Seconds=29 + { 2449890.50, 61.233251 }, //22 June 1995, UT1-UTC=-0.0492511, Accumulated Leap Seconds=29 + { 2449891.50, 61.235065 }, //23 June 1995, UT1-UTC=-0.0510650, Accumulated Leap Seconds=29 + { 2449892.50, 61.236679 }, //24 June 1995, UT1-UTC=-0.0526787, Accumulated Leap Seconds=29 + { 2449893.50, 61.238096 }, //25 June 1995, UT1-UTC=-0.0540955, Accumulated Leap Seconds=29 + { 2449894.50, 61.239364 }, //26 June 1995, UT1-UTC=-0.0553638, Accumulated Leap Seconds=29 + { 2449895.50, 61.240533 }, //27 June 1995, UT1-UTC=-0.0565328, Accumulated Leap Seconds=29 + { 2449896.50, 61.241658 }, //28 June 1995, UT1-UTC=-0.0576580, Accumulated Leap Seconds=29 + { 2449897.50, 61.242807 }, //29 June 1995, UT1-UTC=-0.0588065, Accumulated Leap Seconds=29 + { 2449898.50, 61.244037 }, //30 June 1995, UT1-UTC=-0.0600368, Accumulated Leap Seconds=29 + { 2449899.50, 61.245389 }, //01 July 1995, UT1-UTC=-0.0613891, Accumulated Leap Seconds=29 + { 2449900.50, 61.246885 }, //02 July 1995, UT1-UTC=-0.0628846, Accumulated Leap Seconds=29 + { 2449901.50, 61.248522 }, //03 July 1995, UT1-UTC=-0.0645225, Accumulated Leap Seconds=29 + { 2449902.50, 61.250256 }, //04 July 1995, UT1-UTC=-0.0662561, Accumulated Leap Seconds=29 + { 2449903.50, 61.252021 }, //05 July 1995, UT1-UTC=-0.0680209, Accumulated Leap Seconds=29 + { 2449904.50, 61.253761 }, //06 July 1995, UT1-UTC=-0.0697609, Accumulated Leap Seconds=29 + { 2449905.50, 61.255447 }, //07 July 1995, UT1-UTC=-0.0714469, Accumulated Leap Seconds=29 + { 2449906.50, 61.257054 }, //08 July 1995, UT1-UTC=-0.0730542, Accumulated Leap Seconds=29 + { 2449907.50, 61.258572 }, //09 July 1995, UT1-UTC=-0.0745724, Accumulated Leap Seconds=29 + { 2449908.50, 61.260018 }, //10 July 1995, UT1-UTC=-0.0760182, Accumulated Leap Seconds=29 + { 2449909.50, 61.261434 }, //11 July 1995, UT1-UTC=-0.0774336, Accumulated Leap Seconds=29 + { 2449910.50, 61.262877 }, //12 July 1995, UT1-UTC=-0.0788772, Accumulated Leap Seconds=29 + { 2449911.50, 61.264394 }, //13 July 1995, UT1-UTC=-0.0803942, Accumulated Leap Seconds=29 + { 2449912.50, 61.265999 }, //14 July 1995, UT1-UTC=-0.0819987, Accumulated Leap Seconds=29 + { 2449913.50, 61.267699 }, //15 July 1995, UT1-UTC=-0.0836994, Accumulated Leap Seconds=29 + { 2449914.50, 61.269456 }, //16 July 1995, UT1-UTC=-0.0854564, Accumulated Leap Seconds=29 + { 2449915.50, 61.271203 }, //17 July 1995, UT1-UTC=-0.0872029, Accumulated Leap Seconds=29 + { 2449916.50, 61.272869 }, //18 July 1995, UT1-UTC=-0.0888687, Accumulated Leap Seconds=29 + { 2449917.50, 61.274403 }, //19 July 1995, UT1-UTC=-0.0904031, Accumulated Leap Seconds=29 + { 2449918.50, 61.275781 }, //20 July 1995, UT1-UTC=-0.0917809, Accumulated Leap Seconds=29 + { 2449919.50, 61.277000 }, //21 July 1995, UT1-UTC=-0.0929999, Accumulated Leap Seconds=29 + { 2449920.50, 61.278066 }, //22 July 1995, UT1-UTC=-0.0940663, Accumulated Leap Seconds=29 + { 2449921.50, 61.279008 }, //23 July 1995, UT1-UTC=-0.0950078, Accumulated Leap Seconds=29 + { 2449922.50, 61.279867 }, //24 July 1995, UT1-UTC=-0.0958674, Accumulated Leap Seconds=29 + { 2449923.50, 61.280687 }, //25 July 1995, UT1-UTC=-0.0966875, Accumulated Leap Seconds=29 + { 2449924.50, 61.281509 }, //26 July 1995, UT1-UTC=-0.0975086, Accumulated Leap Seconds=29 + { 2449925.50, 61.282368 }, //27 July 1995, UT1-UTC=-0.0983680, Accumulated Leap Seconds=29 + { 2449926.50, 61.283294 }, //28 July 1995, UT1-UTC=-0.0992940, Accumulated Leap Seconds=29 + { 2449927.50, 61.284314 }, //29 July 1995, UT1-UTC=-0.1003143, Accumulated Leap Seconds=29 + { 2449928.50, 61.285453 }, //30 July 1995, UT1-UTC=-0.1014530, Accumulated Leap Seconds=29 + { 2449929.50, 61.286723 }, //31 July 1995, UT1-UTC=-0.1027230, Accumulated Leap Seconds=29 + { 2449930.50, 61.288102 }, //01 August 1995, UT1-UTC=-0.1041024, Accumulated Leap Seconds=29 + { 2449931.50, 61.289542 }, //02 August 1995, UT1-UTC=-0.1055418, Accumulated Leap Seconds=29 + { 2449932.50, 61.290974 }, //03 August 1995, UT1-UTC=-0.1069739, Accumulated Leap Seconds=29 + { 2449933.50, 61.292359 }, //04 August 1995, UT1-UTC=-0.1083592, Accumulated Leap Seconds=29 + { 2449934.50, 61.293690 }, //05 August 1995, UT1-UTC=-0.1096903, Accumulated Leap Seconds=29 + { 2449935.50, 61.294990 }, //06 August 1995, UT1-UTC=-0.1109898, Accumulated Leap Seconds=29 + { 2449936.50, 61.296295 }, //07 August 1995, UT1-UTC=-0.1122951, Accumulated Leap Seconds=29 + { 2449937.50, 61.297648 }, //08 August 1995, UT1-UTC=-0.1136483, Accumulated Leap Seconds=29 + { 2449938.50, 61.299092 }, //09 August 1995, UT1-UTC=-0.1150922, Accumulated Leap Seconds=29 + { 2449939.50, 61.300654 }, //10 August 1995, UT1-UTC=-0.1166544, Accumulated Leap Seconds=29 + { 2449940.50, 61.302335 }, //11 August 1995, UT1-UTC=-0.1183355, Accumulated Leap Seconds=29 + { 2449941.50, 61.304096 }, //12 August 1995, UT1-UTC=-0.1200959, Accumulated Leap Seconds=29 + { 2449942.50, 61.305879 }, //13 August 1995, UT1-UTC=-0.1218791, Accumulated Leap Seconds=29 + { 2449943.50, 61.307626 }, //14 August 1995, UT1-UTC=-0.1236258, Accumulated Leap Seconds=29 + { 2449944.50, 61.309292 }, //15 August 1995, UT1-UTC=-0.1252919, Accumulated Leap Seconds=29 + { 2449945.50, 61.310859 }, //16 August 1995, UT1-UTC=-0.1268589, Accumulated Leap Seconds=29 + { 2449946.50, 61.312326 }, //17 August 1995, UT1-UTC=-0.1283263, Accumulated Leap Seconds=29 + { 2449947.50, 61.313701 }, //18 August 1995, UT1-UTC=-0.1297007, Accumulated Leap Seconds=29 + { 2449948.50, 61.315015 }, //19 August 1995, UT1-UTC=-0.1310153, Accumulated Leap Seconds=29 + { 2449949.50, 61.316314 }, //20 August 1995, UT1-UTC=-0.1323139, Accumulated Leap Seconds=29 + { 2449950.50, 61.317634 }, //21 August 1995, UT1-UTC=-0.1336336, Accumulated Leap Seconds=29 + { 2449951.50, 61.319007 }, //22 August 1995, UT1-UTC=-0.1350073, Accumulated Leap Seconds=29 + { 2449952.50, 61.320459 }, //23 August 1995, UT1-UTC=-0.1364590, Accumulated Leap Seconds=29 + { 2449953.50, 61.321997 }, //24 August 1995, UT1-UTC=-0.1379975, Accumulated Leap Seconds=29 + { 2449954.50, 61.323645 }, //25 August 1995, UT1-UTC=-0.1396448, Accumulated Leap Seconds=29 + { 2449955.50, 61.325440 }, //26 August 1995, UT1-UTC=-0.1414401, Accumulated Leap Seconds=29 + { 2449956.50, 61.327390 }, //27 August 1995, UT1-UTC=-0.1433903, Accumulated Leap Seconds=29 + { 2449957.50, 61.329454 }, //28 August 1995, UT1-UTC=-0.1454536, Accumulated Leap Seconds=29 + { 2449958.50, 61.331588 }, //29 August 1995, UT1-UTC=-0.1475881, Accumulated Leap Seconds=29 + { 2449959.50, 61.333700 }, //30 August 1995, UT1-UTC=-0.1496999, Accumulated Leap Seconds=29 + { 2449960.50, 61.335764 }, //31 August 1995, UT1-UTC=-0.1517644, Accumulated Leap Seconds=29 + { 2449961.50, 61.337780 }, //01 September 1995, UT1-UTC=-0.1537799, Accumulated Leap Seconds=29 + { 2449962.50, 61.339758 }, //02 September 1995, UT1-UTC=-0.1557584, Accumulated Leap Seconds=29 + { 2449963.50, 61.341719 }, //03 September 1995, UT1-UTC=-0.1577190, Accumulated Leap Seconds=29 + { 2449964.50, 61.343694 }, //04 September 1995, UT1-UTC=-0.1596935, Accumulated Leap Seconds=29 + { 2449965.50, 61.345719 }, //05 September 1995, UT1-UTC=-0.1617194, Accumulated Leap Seconds=29 + { 2449966.50, 61.347826 }, //06 September 1995, UT1-UTC=-0.1638257, Accumulated Leap Seconds=29 + { 2449967.50, 61.350019 }, //07 September 1995, UT1-UTC=-0.1660187, Accumulated Leap Seconds=29 + { 2449968.50, 61.352300 }, //08 September 1995, UT1-UTC=-0.1683000, Accumulated Leap Seconds=29 + { 2449969.50, 61.354645 }, //09 September 1995, UT1-UTC=-0.1706454, Accumulated Leap Seconds=29 + { 2449970.50, 61.356987 }, //10 September 1995, UT1-UTC=-0.1729869, Accumulated Leap Seconds=29 + { 2449971.50, 61.359256 }, //11 September 1995, UT1-UTC=-0.1752559, Accumulated Leap Seconds=29 + { 2449972.50, 61.361411 }, //12 September 1995, UT1-UTC=-0.1774114, Accumulated Leap Seconds=29 + { 2449973.50, 61.363442 }, //13 September 1995, UT1-UTC=-0.1794417, Accumulated Leap Seconds=29 + { 2449974.50, 61.365363 }, //14 September 1995, UT1-UTC=-0.1813634, Accumulated Leap Seconds=29 + { 2449975.50, 61.367215 }, //15 September 1995, UT1-UTC=-0.1832150, Accumulated Leap Seconds=29 + { 2449976.50, 61.369039 }, //16 September 1995, UT1-UTC=-0.1850386, Accumulated Leap Seconds=29 + { 2449977.50, 61.370866 }, //17 September 1995, UT1-UTC=-0.1868661, Accumulated Leap Seconds=29 + { 2449978.50, 61.372719 }, //18 September 1995, UT1-UTC=-0.1887192, Accumulated Leap Seconds=29 + { 2449979.50, 61.374617 }, //19 September 1995, UT1-UTC=-0.1906167, Accumulated Leap Seconds=29 + { 2449980.50, 61.376586 }, //20 September 1995, UT1-UTC=-0.1925865, Accumulated Leap Seconds=29 + { 2449981.50, 61.378700 }, //21 September 1995, UT1-UTC=-0.1946996, Accumulated Leap Seconds=29 + { 2449982.50, 61.380985 }, //22 September 1995, UT1-UTC=-0.1969854, Accumulated Leap Seconds=29 + { 2449983.50, 61.383434 }, //23 September 1995, UT1-UTC=-0.1994339, Accumulated Leap Seconds=29 + { 2449984.50, 61.386016 }, //24 September 1995, UT1-UTC=-0.2020161, Accumulated Leap Seconds=29 + { 2449985.50, 61.388684 }, //25 September 1995, UT1-UTC=-0.2046839, Accumulated Leap Seconds=29 + { 2449986.50, 61.391375 }, //26 September 1995, UT1-UTC=-0.2073748, Accumulated Leap Seconds=29 + { 2449987.50, 61.394020 }, //27 September 1995, UT1-UTC=-0.2100204, Accumulated Leap Seconds=29 + { 2449988.50, 61.396556 }, //28 September 1995, UT1-UTC=-0.2125563, Accumulated Leap Seconds=29 + { 2449989.50, 61.398976 }, //29 September 1995, UT1-UTC=-0.2149760, Accumulated Leap Seconds=29 + { 2449990.50, 61.401311 }, //30 September 1995, UT1-UTC=-0.2173114, Accumulated Leap Seconds=29 + { 2449991.50, 61.403616 }, //01 October 1995, UT1-UTC=-0.2196165, Accumulated Leap Seconds=29 + { 2449992.50, 61.405952 }, //02 October 1995, UT1-UTC=-0.2219523, Accumulated Leap Seconds=29 + { 2449993.50, 61.408366 }, //03 October 1995, UT1-UTC=-0.2243660, Accumulated Leap Seconds=29 + { 2449994.50, 61.410875 }, //04 October 1995, UT1-UTC=-0.2268749, Accumulated Leap Seconds=29 + { 2449995.50, 61.413455 }, //05 October 1995, UT1-UTC=-0.2294547, Accumulated Leap Seconds=29 + { 2449996.50, 61.416093 }, //06 October 1995, UT1-UTC=-0.2320927, Accumulated Leap Seconds=29 + { 2449997.50, 61.418768 }, //07 October 1995, UT1-UTC=-0.2347681, Accumulated Leap Seconds=29 + { 2449998.50, 61.421438 }, //08 October 1995, UT1-UTC=-0.2374380, Accumulated Leap Seconds=29 + { 2449999.50, 61.424040 }, //09 October 1995, UT1-UTC=-0.2400403, Accumulated Leap Seconds=29 + { 2450000.50, 61.426511 }, //10 October 1995, UT1-UTC=-0.2425108, Accumulated Leap Seconds=29 + { 2450001.50, 61.428819 }, //11 October 1995, UT1-UTC=-0.2448193, Accumulated Leap Seconds=29 + { 2450002.50, 61.430991 }, //12 October 1995, UT1-UTC=-0.2469912, Accumulated Leap Seconds=29 + { 2450003.50, 61.433039 }, //13 October 1995, UT1-UTC=-0.2490387, Accumulated Leap Seconds=29 + { 2450004.50, 61.434989 }, //14 October 1995, UT1-UTC=-0.2509891, Accumulated Leap Seconds=29 + { 2450005.50, 61.436900 }, //15 October 1995, UT1-UTC=-0.2529003, Accumulated Leap Seconds=29 + { 2450006.50, 61.438819 }, //16 October 1995, UT1-UTC=-0.2548192, Accumulated Leap Seconds=29 + { 2450007.50, 61.440793 }, //17 October 1995, UT1-UTC=-0.2567932, Accumulated Leap Seconds=29 + { 2450008.50, 61.442861 }, //18 October 1995, UT1-UTC=-0.2588614, Accumulated Leap Seconds=29 + { 2450009.50, 61.445021 }, //19 October 1995, UT1-UTC=-0.2610211, Accumulated Leap Seconds=29 + { 2450010.50, 61.447262 }, //20 October 1995, UT1-UTC=-0.2632617, Accumulated Leap Seconds=29 + { 2450011.50, 61.449605 }, //21 October 1995, UT1-UTC=-0.2656050, Accumulated Leap Seconds=29 + { 2450012.50, 61.452036 }, //22 October 1995, UT1-UTC=-0.2680359, Accumulated Leap Seconds=29 + { 2450013.50, 61.454503 }, //23 October 1995, UT1-UTC=-0.2705028, Accumulated Leap Seconds=29 + { 2450014.50, 61.456965 }, //24 October 1995, UT1-UTC=-0.2729652, Accumulated Leap Seconds=29 + { 2450015.50, 61.459391 }, //25 October 1995, UT1-UTC=-0.2753909, Accumulated Leap Seconds=29 + { 2450016.50, 61.461756 }, //26 October 1995, UT1-UTC=-0.2777560, Accumulated Leap Seconds=29 + { 2450017.50, 61.464050 }, //27 October 1995, UT1-UTC=-0.2800497, Accumulated Leap Seconds=29 + { 2450018.50, 61.466302 }, //28 October 1995, UT1-UTC=-0.2823023, Accumulated Leap Seconds=29 + { 2450019.50, 61.468577 }, //29 October 1995, UT1-UTC=-0.2845771, Accumulated Leap Seconds=29 + { 2450020.50, 61.470934 }, //30 October 1995, UT1-UTC=-0.2869342, Accumulated Leap Seconds=29 + { 2450021.50, 61.473416 }, //31 October 1995, UT1-UTC=-0.2894157, Accumulated Leap Seconds=29 + { 2450022.50, 61.476037 }, //01 November 1995, UT1-UTC=-0.2920366, Accumulated Leap Seconds=29 + { 2450023.50, 61.478778 }, //02 November 1995, UT1-UTC=-0.2947781, Accumulated Leap Seconds=29 + { 2450024.50, 61.481552 }, //03 November 1995, UT1-UTC=-0.2975519, Accumulated Leap Seconds=29 + { 2450025.50, 61.484275 }, //04 November 1995, UT1-UTC=-0.3002748, Accumulated Leap Seconds=29 + { 2450026.50, 61.486900 }, //05 November 1995, UT1-UTC=-0.3028996, Accumulated Leap Seconds=29 + { 2450027.50, 61.489398 }, //06 November 1995, UT1-UTC=-0.3053979, Accumulated Leap Seconds=29 + { 2450028.50, 61.491771 }, //07 November 1995, UT1-UTC=-0.3077707, Accumulated Leap Seconds=29 + { 2450029.50, 61.494033 }, //08 November 1995, UT1-UTC=-0.3100334, Accumulated Leap Seconds=29 + { 2450030.50, 61.496191 }, //09 November 1995, UT1-UTC=-0.3121911, Accumulated Leap Seconds=29 + { 2450031.50, 61.498240 }, //10 November 1995, UT1-UTC=-0.3142402, Accumulated Leap Seconds=29 + { 2450032.50, 61.500219 }, //11 November 1995, UT1-UTC=-0.3162194, Accumulated Leap Seconds=29 + { 2450033.50, 61.502192 }, //12 November 1995, UT1-UTC=-0.3181918, Accumulated Leap Seconds=29 + { 2450034.50, 61.504225 }, //13 November 1995, UT1-UTC=-0.3202248, Accumulated Leap Seconds=29 + { 2450035.50, 61.506368 }, //14 November 1995, UT1-UTC=-0.3223682, Accumulated Leap Seconds=29 + { 2450036.50, 61.508665 }, //15 November 1995, UT1-UTC=-0.3246648, Accumulated Leap Seconds=29 + { 2450037.50, 61.511156 }, //16 November 1995, UT1-UTC=-0.3271557, Accumulated Leap Seconds=29 + { 2450038.50, 61.513805 }, //17 November 1995, UT1-UTC=-0.3298054, Accumulated Leap Seconds=29 + { 2450039.50, 61.516557 }, //18 November 1995, UT1-UTC=-0.3325569, Accumulated Leap Seconds=29 + { 2450040.50, 61.519391 }, //19 November 1995, UT1-UTC=-0.3353905, Accumulated Leap Seconds=29 + { 2450041.50, 61.522265 }, //20 November 1995, UT1-UTC=-0.3382653, Accumulated Leap Seconds=29 + { 2450042.50, 61.525132 }, //21 November 1995, UT1-UTC=-0.3411317, Accumulated Leap Seconds=29 + { 2450043.50, 61.527947 }, //22 November 1995, UT1-UTC=-0.3439468, Accumulated Leap Seconds=29 + { 2450044.50, 61.530679 }, //23 November 1995, UT1-UTC=-0.3466791, Accumulated Leap Seconds=29 + { 2450045.50, 61.533339 }, //24 November 1995, UT1-UTC=-0.3493391, Accumulated Leap Seconds=29 + { 2450046.50, 61.535967 }, //25 November 1995, UT1-UTC=-0.3519674, Accumulated Leap Seconds=29 + { 2450047.50, 61.538612 }, //26 November 1995, UT1-UTC=-0.3546121, Accumulated Leap Seconds=29 + { 2450048.50, 61.541311 }, //27 November 1995, UT1-UTC=-0.3573108, Accumulated Leap Seconds=29 + { 2450049.50, 61.544071 }, //28 November 1995, UT1-UTC=-0.3600711, Accumulated Leap Seconds=29 + { 2450050.50, 61.546878 }, //29 November 1995, UT1-UTC=-0.3628777, Accumulated Leap Seconds=29 + { 2450051.50, 61.549696 }, //30 November 1995, UT1-UTC=-0.3656959, Accumulated Leap Seconds=29 + { 2450052.50, 61.552460 }, //01 December 1995, UT1-UTC=-0.3684599, Accumulated Leap Seconds=29 + { 2450053.50, 61.555122 }, //02 December 1995, UT1-UTC=-0.3711221, Accumulated Leap Seconds=29 + { 2450054.50, 61.557674 }, //03 December 1995, UT1-UTC=-0.3736736, Accumulated Leap Seconds=29 + { 2450055.50, 61.560121 }, //04 December 1995, UT1-UTC=-0.3761212, Accumulated Leap Seconds=29 + { 2450056.50, 61.562456 }, //05 December 1995, UT1-UTC=-0.3784556, Accumulated Leap Seconds=29 + { 2450057.50, 61.564681 }, //06 December 1995, UT1-UTC=-0.3806815, Accumulated Leap Seconds=29 + { 2450058.50, 61.566816 }, //07 December 1995, UT1-UTC=-0.3828161, Accumulated Leap Seconds=29 + { 2450059.50, 61.568907 }, //08 December 1995, UT1-UTC=-0.3849067, Accumulated Leap Seconds=29 + { 2450060.50, 61.571006 }, //09 December 1995, UT1-UTC=-0.3870061, Accumulated Leap Seconds=29 + { 2450061.50, 61.573161 }, //10 December 1995, UT1-UTC=-0.3891605, Accumulated Leap Seconds=29 + { 2450062.50, 61.575392 }, //11 December 1995, UT1-UTC=-0.3913921, Accumulated Leap Seconds=29 + { 2450063.50, 61.577714 }, //12 December 1995, UT1-UTC=-0.3937138, Accumulated Leap Seconds=29 + { 2450064.50, 61.580141 }, //13 December 1995, UT1-UTC=-0.3961415, Accumulated Leap Seconds=29 + { 2450065.50, 61.582689 }, //14 December 1995, UT1-UTC=-0.3986893, Accumulated Leap Seconds=29 + { 2450066.50, 61.585310 }, //15 December 1995, UT1-UTC=-0.4013100, Accumulated Leap Seconds=29 + { 2450067.50, 61.587956 }, //16 December 1995, UT1-UTC=-0.4039556, Accumulated Leap Seconds=29 + { 2450068.50, 61.590607 }, //17 December 1995, UT1-UTC=-0.4066069, Accumulated Leap Seconds=29 + { 2450069.50, 61.593260 }, //18 December 1995, UT1-UTC=-0.4092604, Accumulated Leap Seconds=29 + { 2450070.50, 61.595886 }, //19 December 1995, UT1-UTC=-0.4118858, Accumulated Leap Seconds=29 + { 2450071.50, 61.598458 }, //20 December 1995, UT1-UTC=-0.4144579, Accumulated Leap Seconds=29 + { 2450072.50, 61.600957 }, //21 December 1995, UT1-UTC=-0.4169567, Accumulated Leap Seconds=29 + { 2450073.50, 61.603401 }, //22 December 1995, UT1-UTC=-0.4194010, Accumulated Leap Seconds=29 + { 2450074.50, 61.605853 }, //23 December 1995, UT1-UTC=-0.4218530, Accumulated Leap Seconds=29 + { 2450075.50, 61.608392 }, //24 December 1995, UT1-UTC=-0.4243922, Accumulated Leap Seconds=29 + { 2450076.50, 61.611057 }, //25 December 1995, UT1-UTC=-0.4270568, Accumulated Leap Seconds=29 + { 2450077.50, 61.613814 }, //26 December 1995, UT1-UTC=-0.4298138, Accumulated Leap Seconds=29 + { 2450078.50, 61.616597 }, //27 December 1995, UT1-UTC=-0.4325970, Accumulated Leap Seconds=29 + { 2450079.50, 61.619331 }, //28 December 1995, UT1-UTC=-0.4353306, Accumulated Leap Seconds=29 + { 2450080.50, 61.621945 }, //29 December 1995, UT1-UTC=-0.4379451, Accumulated Leap Seconds=29 + { 2450081.50, 61.624387 }, //30 December 1995, UT1-UTC=-0.4403875, Accumulated Leap Seconds=29 + { 2450082.50, 61.626627 }, //31 December 1995, UT1-UTC=-0.4426274, Accumulated Leap Seconds=29 + { 2450083.50, 61.628659 }, //01 January 1996, UT1-UTC= 0.5553407, Accumulated Leap Seconds=30 + { 2450084.50, 61.630503 }, //02 January 1996, UT1-UTC= 0.5534970, Accumulated Leap Seconds=30 + { 2450085.50, 61.632198 }, //03 January 1996, UT1-UTC= 0.5518018, Accumulated Leap Seconds=30 + { 2450086.50, 61.633791 }, //04 January 1996, UT1-UTC= 0.5502086, Accumulated Leap Seconds=30 + { 2450087.50, 61.635334 }, //05 January 1996, UT1-UTC= 0.5486657, Accumulated Leap Seconds=30 + { 2450088.50, 61.636888 }, //06 January 1996, UT1-UTC= 0.5471115, Accumulated Leap Seconds=30 + { 2450089.50, 61.638520 }, //07 January 1996, UT1-UTC= 0.5454805, Accumulated Leap Seconds=30 + { 2450090.50, 61.640266 }, //08 January 1996, UT1-UTC= 0.5437342, Accumulated Leap Seconds=30 + { 2450091.50, 61.642122 }, //09 January 1996, UT1-UTC= 0.5418781, Accumulated Leap Seconds=30 + { 2450092.50, 61.644054 }, //10 January 1996, UT1-UTC= 0.5399456, Accumulated Leap Seconds=30 + { 2450093.50, 61.646030 }, //11 January 1996, UT1-UTC= 0.5379699, Accumulated Leap Seconds=30 + { 2450094.50, 61.648025 }, //12 January 1996, UT1-UTC= 0.5359751, Accumulated Leap Seconds=30 + { 2450095.50, 61.650025 }, //13 January 1996, UT1-UTC= 0.5339752, Accumulated Leap Seconds=30 + { 2450096.50, 61.652017 }, //14 January 1996, UT1-UTC= 0.5319830, Accumulated Leap Seconds=30 + { 2450097.50, 61.653984 }, //15 January 1996, UT1-UTC= 0.5300156, Accumulated Leap Seconds=30 + { 2450098.50, 61.655909 }, //16 January 1996, UT1-UTC= 0.5280906, Accumulated Leap Seconds=30 + { 2450099.50, 61.657768 }, //17 January 1996, UT1-UTC= 0.5262316, Accumulated Leap Seconds=30 + { 2450100.50, 61.659546 }, //18 January 1996, UT1-UTC= 0.5244541, Accumulated Leap Seconds=30 + { 2450101.50, 61.661299 }, //19 January 1996, UT1-UTC= 0.5227015, Accumulated Leap Seconds=30 + { 2450102.50, 61.663118 }, //20 January 1996, UT1-UTC= 0.5208818, Accumulated Leap Seconds=30 + { 2450103.50, 61.665063 }, //21 January 1996, UT1-UTC= 0.5189365, Accumulated Leap Seconds=30 + { 2450104.50, 61.667138 }, //22 January 1996, UT1-UTC= 0.5168623, Accumulated Leap Seconds=30 + { 2450105.50, 61.669284 }, //23 January 1996, UT1-UTC= 0.5147163, Accumulated Leap Seconds=30 + { 2450106.50, 61.671413 }, //24 January 1996, UT1-UTC= 0.5125874, Accumulated Leap Seconds=30 + { 2450107.50, 61.673468 }, //25 January 1996, UT1-UTC= 0.5105325, Accumulated Leap Seconds=30 + { 2450108.50, 61.675405 }, //26 January 1996, UT1-UTC= 0.5085954, Accumulated Leap Seconds=30 + { 2450109.50, 61.677205 }, //27 January 1996, UT1-UTC= 0.5067951, Accumulated Leap Seconds=30 + { 2450110.50, 61.678861 }, //28 January 1996, UT1-UTC= 0.5051385, Accumulated Leap Seconds=30 + { 2450111.50, 61.680389 }, //29 January 1996, UT1-UTC= 0.5036110, Accumulated Leap Seconds=30 + { 2450112.50, 61.681819 }, //30 January 1996, UT1-UTC= 0.5021810, Accumulated Leap Seconds=30 + { 2450113.50, 61.683196 }, //31 January 1996, UT1-UTC= 0.5008035, Accumulated Leap Seconds=30 + { 2450114.50, 61.684582 }, //01 February 1996, UT1-UTC= 0.4994181, Accumulated Leap Seconds=30 + { 2450115.50, 61.686029 }, //02 February 1996, UT1-UTC= 0.4979707, Accumulated Leap Seconds=30 + { 2450116.50, 61.687577 }, //03 February 1996, UT1-UTC= 0.4964234, Accumulated Leap Seconds=30 + { 2450117.50, 61.689235 }, //04 February 1996, UT1-UTC= 0.4947646, Accumulated Leap Seconds=30 + { 2450118.50, 61.691002 }, //05 February 1996, UT1-UTC= 0.4929982, Accumulated Leap Seconds=30 + { 2450119.50, 61.692876 }, //06 February 1996, UT1-UTC= 0.4911237, Accumulated Leap Seconds=30 + { 2450120.50, 61.694865 }, //07 February 1996, UT1-UTC= 0.4891346, Accumulated Leap Seconds=30 + { 2450121.50, 61.696955 }, //08 February 1996, UT1-UTC= 0.4870454, Accumulated Leap Seconds=30 + { 2450122.50, 61.699099 }, //09 February 1996, UT1-UTC= 0.4849013, Accumulated Leap Seconds=30 + { 2450123.50, 61.701243 }, //10 February 1996, UT1-UTC= 0.4827566, Accumulated Leap Seconds=30 + { 2450124.50, 61.703345 }, //11 February 1996, UT1-UTC= 0.4806545, Accumulated Leap Seconds=30 + { 2450125.50, 61.705382 }, //12 February 1996, UT1-UTC= 0.4786184, Accumulated Leap Seconds=30 + { 2450126.50, 61.707352 }, //13 February 1996, UT1-UTC= 0.4766483, Accumulated Leap Seconds=30 + { 2450127.50, 61.709280 }, //14 February 1996, UT1-UTC= 0.4747202, Accumulated Leap Seconds=30 + { 2450128.50, 61.711209 }, //15 February 1996, UT1-UTC= 0.4727912, Accumulated Leap Seconds=30 + { 2450129.50, 61.713205 }, //16 February 1996, UT1-UTC= 0.4707947, Accumulated Leap Seconds=30 + { 2450130.50, 61.715339 }, //17 February 1996, UT1-UTC= 0.4686611, Accumulated Leap Seconds=30 + { 2450131.50, 61.717645 }, //18 February 1996, UT1-UTC= 0.4663545, Accumulated Leap Seconds=30 + { 2450132.50, 61.720111 }, //19 February 1996, UT1-UTC= 0.4638889, Accumulated Leap Seconds=30 + { 2450133.50, 61.722678 }, //20 February 1996, UT1-UTC= 0.4613222, Accumulated Leap Seconds=30 + { 2450134.50, 61.725262 }, //21 February 1996, UT1-UTC= 0.4587376, Accumulated Leap Seconds=30 + { 2450135.50, 61.727783 }, //22 February 1996, UT1-UTC= 0.4562170, Accumulated Leap Seconds=30 + { 2450136.50, 61.730148 }, //23 February 1996, UT1-UTC= 0.4538521, Accumulated Leap Seconds=30 + { 2450137.50, 61.732289 }, //24 February 1996, UT1-UTC= 0.4517114, Accumulated Leap Seconds=30 + { 2450138.50, 61.734247 }, //25 February 1996, UT1-UTC= 0.4497529, Accumulated Leap Seconds=30 + { 2450139.50, 61.736094 }, //26 February 1996, UT1-UTC= 0.4479063, Accumulated Leap Seconds=30 + { 2450140.50, 61.737886 }, //27 February 1996, UT1-UTC= 0.4461141, Accumulated Leap Seconds=30 + { 2450141.50, 61.739659 }, //28 February 1996, UT1-UTC= 0.4443409, Accumulated Leap Seconds=30 + { 2450142.50, 61.741445 }, //29 February 1996, UT1-UTC= 0.4425555, Accumulated Leap Seconds=30 + { 2450143.50, 61.743306 }, //01 March 1996, UT1-UTC= 0.4406940, Accumulated Leap Seconds=30 + { 2450144.50, 61.745292 }, //02 March 1996, UT1-UTC= 0.4387084, Accumulated Leap Seconds=30 + { 2450145.50, 61.747420 }, //03 March 1996, UT1-UTC= 0.4365804, Accumulated Leap Seconds=30 + { 2450146.50, 61.749699 }, //04 March 1996, UT1-UTC= 0.4343005, Accumulated Leap Seconds=30 + { 2450147.50, 61.752116 }, //05 March 1996, UT1-UTC= 0.4318840, Accumulated Leap Seconds=30 + { 2450148.50, 61.754636 }, //06 March 1996, UT1-UTC= 0.4293637, Accumulated Leap Seconds=30 + { 2450149.50, 61.757221 }, //07 March 1996, UT1-UTC= 0.4267790, Accumulated Leap Seconds=30 + { 2450150.50, 61.759834 }, //08 March 1996, UT1-UTC= 0.4241658, Accumulated Leap Seconds=30 + { 2450151.50, 61.762440 }, //09 March 1996, UT1-UTC= 0.4215597, Accumulated Leap Seconds=30 + { 2450152.50, 61.765012 }, //10 March 1996, UT1-UTC= 0.4189877, Accumulated Leap Seconds=30 + { 2450153.50, 61.767527 }, //11 March 1996, UT1-UTC= 0.4164726, Accumulated Leap Seconds=30 + { 2450154.50, 61.769951 }, //12 March 1996, UT1-UTC= 0.4140486, Accumulated Leap Seconds=30 + { 2450155.50, 61.772258 }, //13 March 1996, UT1-UTC= 0.4117416, Accumulated Leap Seconds=30 + { 2450156.50, 61.774466 }, //14 March 1996, UT1-UTC= 0.4095339, Accumulated Leap Seconds=30 + { 2450157.50, 61.776650 }, //15 March 1996, UT1-UTC= 0.4073504, Accumulated Leap Seconds=30 + { 2450158.50, 61.778879 }, //16 March 1996, UT1-UTC= 0.4051208, Accumulated Leap Seconds=30 + { 2450159.50, 61.781189 }, //17 March 1996, UT1-UTC= 0.4028109, Accumulated Leap Seconds=30 + { 2450160.50, 61.783576 }, //18 March 1996, UT1-UTC= 0.4004241, Accumulated Leap Seconds=30 + { 2450161.50, 61.786010 }, //19 March 1996, UT1-UTC= 0.3979900, Accumulated Leap Seconds=30 + { 2450162.50, 61.788450 }, //20 March 1996, UT1-UTC= 0.3955500, Accumulated Leap Seconds=30 + { 2450163.50, 61.790847 }, //21 March 1996, UT1-UTC= 0.3931531, Accumulated Leap Seconds=30 + { 2450164.50, 61.793142 }, //22 March 1996, UT1-UTC= 0.3908577, Accumulated Leap Seconds=30 + { 2450165.50, 61.795303 }, //23 March 1996, UT1-UTC= 0.3886966, Accumulated Leap Seconds=30 + { 2450166.50, 61.797339 }, //24 March 1996, UT1-UTC= 0.3866611, Accumulated Leap Seconds=30 + { 2450167.50, 61.799285 }, //25 March 1996, UT1-UTC= 0.3847153, Accumulated Leap Seconds=30 + { 2450168.50, 61.801173 }, //26 March 1996, UT1-UTC= 0.3828266, Accumulated Leap Seconds=30 + { 2450169.50, 61.803038 }, //27 March 1996, UT1-UTC= 0.3809615, Accumulated Leap Seconds=30 + { 2450170.50, 61.804917 }, //28 March 1996, UT1-UTC= 0.3790829, Accumulated Leap Seconds=30 + { 2450171.50, 61.806852 }, //29 March 1996, UT1-UTC= 0.3771484, Accumulated Leap Seconds=30 + { 2450172.50, 61.808872 }, //30 March 1996, UT1-UTC= 0.3751277, Accumulated Leap Seconds=30 + { 2450173.50, 61.810998 }, //31 March 1996, UT1-UTC= 0.3730019, Accumulated Leap Seconds=30 + { 2450174.50, 61.813242 }, //01 April 1996, UT1-UTC= 0.3707575, Accumulated Leap Seconds=30 + { 2450175.50, 61.815613 }, //02 April 1996, UT1-UTC= 0.3683867, Accumulated Leap Seconds=30 + { 2450176.50, 61.818085 }, //03 April 1996, UT1-UTC= 0.3659152, Accumulated Leap Seconds=30 + { 2450177.50, 61.820589 }, //04 April 1996, UT1-UTC= 0.3634106, Accumulated Leap Seconds=30 + { 2450178.50, 61.823091 }, //05 April 1996, UT1-UTC= 0.3609086, Accumulated Leap Seconds=30 + { 2450179.50, 61.825565 }, //06 April 1996, UT1-UTC= 0.3584349, Accumulated Leap Seconds=30 + { 2450180.50, 61.827981 }, //07 April 1996, UT1-UTC= 0.3560192, Accumulated Leap Seconds=30 + { 2450181.50, 61.830326 }, //08 April 1996, UT1-UTC= 0.3536740, Accumulated Leap Seconds=30 + { 2450182.50, 61.832610 }, //09 April 1996, UT1-UTC= 0.3513897, Accumulated Leap Seconds=30 + { 2450183.50, 61.834874 }, //10 April 1996, UT1-UTC= 0.3491265, Accumulated Leap Seconds=30 + { 2450184.50, 61.837176 }, //11 April 1996, UT1-UTC= 0.3468236, Accumulated Leap Seconds=30 + { 2450185.50, 61.839565 }, //12 April 1996, UT1-UTC= 0.3444346, Accumulated Leap Seconds=30 + { 2450186.50, 61.842054 }, //13 April 1996, UT1-UTC= 0.3419458, Accumulated Leap Seconds=30 + { 2450187.50, 61.844619 }, //14 April 1996, UT1-UTC= 0.3393814, Accumulated Leap Seconds=30 + { 2450188.50, 61.847207 }, //15 April 1996, UT1-UTC= 0.3367926, Accumulated Leap Seconds=30 + { 2450189.50, 61.849766 }, //16 April 1996, UT1-UTC= 0.3342341, Accumulated Leap Seconds=30 + { 2450190.50, 61.852246 }, //17 April 1996, UT1-UTC= 0.3317535, Accumulated Leap Seconds=30 + { 2450191.50, 61.854620 }, //18 April 1996, UT1-UTC= 0.3293800, Accumulated Leap Seconds=30 + { 2450192.50, 61.856840 }, //19 April 1996, UT1-UTC= 0.3271601, Accumulated Leap Seconds=30 + { 2450193.50, 61.858907 }, //20 April 1996, UT1-UTC= 0.3250932, Accumulated Leap Seconds=30 + { 2450194.50, 61.860868 }, //21 April 1996, UT1-UTC= 0.3231316, Accumulated Leap Seconds=30 + { 2450195.50, 61.862780 }, //22 April 1996, UT1-UTC= 0.3212204, Accumulated Leap Seconds=30 + { 2450196.50, 61.864670 }, //23 April 1996, UT1-UTC= 0.3193302, Accumulated Leap Seconds=30 + { 2450197.50, 61.866571 }, //24 April 1996, UT1-UTC= 0.3174294, Accumulated Leap Seconds=30 + { 2450198.50, 61.868520 }, //25 April 1996, UT1-UTC= 0.3154795, Accumulated Leap Seconds=30 + { 2450199.50, 61.870543 }, //26 April 1996, UT1-UTC= 0.3134574, Accumulated Leap Seconds=30 + { 2450200.50, 61.872671 }, //27 April 1996, UT1-UTC= 0.3113287, Accumulated Leap Seconds=30 + { 2450201.50, 61.874923 }, //28 April 1996, UT1-UTC= 0.3090773, Accumulated Leap Seconds=30 + { 2450202.50, 61.877291 }, //29 April 1996, UT1-UTC= 0.3067091, Accumulated Leap Seconds=30 + { 2450203.50, 61.879763 }, //30 April 1996, UT1-UTC= 0.3042372, Accumulated Leap Seconds=30 + { 2450204.50, 61.882320 }, //01 May 1996, UT1-UTC= 0.3016797, Accumulated Leap Seconds=30 + { 2450205.50, 61.884939 }, //02 May 1996, UT1-UTC= 0.2990606, Accumulated Leap Seconds=30 + { 2450206.50, 61.887564 }, //03 May 1996, UT1-UTC= 0.2964355, Accumulated Leap Seconds=30 + { 2450207.50, 61.890128 }, //04 May 1996, UT1-UTC= 0.2938716, Accumulated Leap Seconds=30 + { 2450208.50, 61.892597 }, //05 May 1996, UT1-UTC= 0.2914033, Accumulated Leap Seconds=30 + { 2450209.50, 61.894974 }, //06 May 1996, UT1-UTC= 0.2890261, Accumulated Leap Seconds=30 + { 2450210.50, 61.897302 }, //07 May 1996, UT1-UTC= 0.2866977, Accumulated Leap Seconds=30 + { 2450211.50, 61.899643 }, //08 May 1996, UT1-UTC= 0.2843570, Accumulated Leap Seconds=30 + { 2450212.50, 61.902052 }, //09 May 1996, UT1-UTC= 0.2819478, Accumulated Leap Seconds=30 + { 2450213.50, 61.904554 }, //10 May 1996, UT1-UTC= 0.2794457, Accumulated Leap Seconds=30 + { 2450214.50, 61.907154 }, //11 May 1996, UT1-UTC= 0.2768461, Accumulated Leap Seconds=30 + { 2450215.50, 61.909821 }, //12 May 1996, UT1-UTC= 0.2741790, Accumulated Leap Seconds=30 + { 2450216.50, 61.912493 }, //13 May 1996, UT1-UTC= 0.2715067, Accumulated Leap Seconds=30 + { 2450217.50, 61.915105 }, //14 May 1996, UT1-UTC= 0.2688952, Accumulated Leap Seconds=30 + { 2450218.50, 61.917603 }, //15 May 1996, UT1-UTC= 0.2663971, Accumulated Leap Seconds=30 + { 2450219.50, 61.919961 }, //16 May 1996, UT1-UTC= 0.2640392, Accumulated Leap Seconds=30 + { 2450220.50, 61.922152 }, //17 May 1996, UT1-UTC= 0.2618483, Accumulated Leap Seconds=30 + { 2450221.50, 61.924175 }, //18 May 1996, UT1-UTC= 0.2598254, Accumulated Leap Seconds=30 + { 2450222.50, 61.926061 }, //19 May 1996, UT1-UTC= 0.2579389, Accumulated Leap Seconds=30 + { 2450223.50, 61.927846 }, //20 May 1996, UT1-UTC= 0.2561541, Accumulated Leap Seconds=30 + { 2450224.50, 61.929555 }, //21 May 1996, UT1-UTC= 0.2544452, Accumulated Leap Seconds=30 + { 2450225.50, 61.931219 }, //22 May 1996, UT1-UTC= 0.2527805, Accumulated Leap Seconds=30 + { 2450226.50, 61.932893 }, //23 May 1996, UT1-UTC= 0.2511069, Accumulated Leap Seconds=30 + { 2450227.50, 61.934611 }, //24 May 1996, UT1-UTC= 0.2493890, Accumulated Leap Seconds=30 + { 2450228.50, 61.936389 }, //25 May 1996, UT1-UTC= 0.2476111, Accumulated Leap Seconds=30 + { 2450229.50, 61.938239 }, //26 May 1996, UT1-UTC= 0.2457611, Accumulated Leap Seconds=30 + { 2450230.50, 61.940154 }, //27 May 1996, UT1-UTC= 0.2438458, Accumulated Leap Seconds=30 + { 2450231.50, 61.942110 }, //28 May 1996, UT1-UTC= 0.2418896, Accumulated Leap Seconds=30 + { 2450232.50, 61.944075 }, //29 May 1996, UT1-UTC= 0.2399248, Accumulated Leap Seconds=30 + { 2450233.50, 61.946019 }, //30 May 1996, UT1-UTC= 0.2379809, Accumulated Leap Seconds=30 + { 2450234.50, 61.947895 }, //31 May 1996, UT1-UTC= 0.2361053, Accumulated Leap Seconds=30 + { 2450235.50, 61.949676 }, //01 June 1996, UT1-UTC= 0.2343238, Accumulated Leap Seconds=30 + { 2450236.50, 61.951369 }, //02 June 1996, UT1-UTC= 0.2326310, Accumulated Leap Seconds=30 + { 2450237.50, 61.953016 }, //03 June 1996, UT1-UTC= 0.2309839, Accumulated Leap Seconds=30 + { 2450238.50, 61.954681 }, //04 June 1996, UT1-UTC= 0.2293191, Accumulated Leap Seconds=30 + { 2450239.50, 61.956423 }, //05 June 1996, UT1-UTC= 0.2275770, Accumulated Leap Seconds=30 + { 2450240.50, 61.958256 }, //06 June 1996, UT1-UTC= 0.2257442, Accumulated Leap Seconds=30 + { 2450241.50, 61.960178 }, //07 June 1996, UT1-UTC= 0.2238221, Accumulated Leap Seconds=30 + { 2450242.50, 61.962176 }, //08 June 1996, UT1-UTC= 0.2218240, Accumulated Leap Seconds=30 + { 2450243.50, 61.964226 }, //09 June 1996, UT1-UTC= 0.2197735, Accumulated Leap Seconds=30 + { 2450244.50, 61.966285 }, //10 June 1996, UT1-UTC= 0.2177147, Accumulated Leap Seconds=30 + { 2450245.50, 61.968287 }, //11 June 1996, UT1-UTC= 0.2157127, Accumulated Leap Seconds=30 + { 2450246.50, 61.970178 }, //12 June 1996, UT1-UTC= 0.2138219, Accumulated Leap Seconds=30 + { 2450247.50, 61.971926 }, //13 June 1996, UT1-UTC= 0.2120739, Accumulated Leap Seconds=30 + { 2450248.50, 61.973520 }, //14 June 1996, UT1-UTC= 0.2104798, Accumulated Leap Seconds=30 + { 2450249.50, 61.974963 }, //15 June 1996, UT1-UTC= 0.2090372, Accumulated Leap Seconds=30 + { 2450250.50, 61.976268 }, //16 June 1996, UT1-UTC= 0.2077315, Accumulated Leap Seconds=30 + { 2450251.50, 61.977498 }, //17 June 1996, UT1-UTC= 0.2065017, Accumulated Leap Seconds=30 + { 2450252.50, 61.978697 }, //18 June 1996, UT1-UTC= 0.2053034, Accumulated Leap Seconds=30 + { 2450253.50, 61.979907 }, //19 June 1996, UT1-UTC= 0.2040934, Accumulated Leap Seconds=30 + { 2450254.50, 61.981174 }, //20 June 1996, UT1-UTC= 0.2028256, Accumulated Leap Seconds=30 + { 2450255.50, 61.982526 }, //21 June 1996, UT1-UTC= 0.2014737, Accumulated Leap Seconds=30 + { 2450256.50, 61.983966 }, //22 June 1996, UT1-UTC= 0.2000335, Accumulated Leap Seconds=30 + { 2450257.50, 61.985488 }, //23 June 1996, UT1-UTC= 0.1985121, Accumulated Leap Seconds=30 + { 2450258.50, 61.987060 }, //24 June 1996, UT1-UTC= 0.1969397, Accumulated Leap Seconds=30 + { 2450259.50, 61.988642 }, //25 June 1996, UT1-UTC= 0.1953581, Accumulated Leap Seconds=30 + { 2450260.50, 61.990193 }, //26 June 1996, UT1-UTC= 0.1938074, Accumulated Leap Seconds=30 + { 2450261.50, 61.991700 }, //27 June 1996, UT1-UTC= 0.1923004, Accumulated Leap Seconds=30 + { 2450262.50, 61.993131 }, //28 June 1996, UT1-UTC= 0.1908688, Accumulated Leap Seconds=30 + { 2450263.50, 61.994460 }, //29 June 1996, UT1-UTC= 0.1895402, Accumulated Leap Seconds=30 + { 2450264.50, 61.995695 }, //30 June 1996, UT1-UTC= 0.1883047, Accumulated Leap Seconds=30 + { 2450265.50, 61.996874 }, //01 July 1996, UT1-UTC= 0.1871257, Accumulated Leap Seconds=30 + { 2450266.50, 61.998055 }, //02 July 1996, UT1-UTC= 0.1859454, Accumulated Leap Seconds=30 + { 2450267.50, 61.999304 }, //03 July 1996, UT1-UTC= 0.1846963, Accumulated Leap Seconds=30 + { 2450268.50, 62.000672 }, //04 July 1996, UT1-UTC= 0.1833284, Accumulated Leap Seconds=30 + { 2450269.50, 62.002122 }, //05 July 1996, UT1-UTC= 0.1818781, Accumulated Leap Seconds=30 + { 2450270.50, 62.003583 }, //06 July 1996, UT1-UTC= 0.1804172, Accumulated Leap Seconds=30 + { 2450271.50, 62.004994 }, //07 July 1996, UT1-UTC= 0.1790058, Accumulated Leap Seconds=30 + { 2450272.50, 62.006317 }, //08 July 1996, UT1-UTC= 0.1776827, Accumulated Leap Seconds=30 + { 2450273.50, 62.007531 }, //09 July 1996, UT1-UTC= 0.1764691, Accumulated Leap Seconds=30 + { 2450274.50, 62.008631 }, //10 July 1996, UT1-UTC= 0.1753690, Accumulated Leap Seconds=30 + { 2450275.50, 62.009633 }, //11 July 1996, UT1-UTC= 0.1743671, Accumulated Leap Seconds=30 + { 2450276.50, 62.010545 }, //12 July 1996, UT1-UTC= 0.1734554, Accumulated Leap Seconds=30 + { 2450277.50, 62.011382 }, //13 July 1996, UT1-UTC= 0.1726175, Accumulated Leap Seconds=30 + { 2450278.50, 62.012193 }, //14 July 1996, UT1-UTC= 0.1718071, Accumulated Leap Seconds=30 + { 2450279.50, 62.013020 }, //15 July 1996, UT1-UTC= 0.1709798, Accumulated Leap Seconds=30 + { 2450280.50, 62.013893 }, //16 July 1996, UT1-UTC= 0.1701068, Accumulated Leap Seconds=30 + { 2450281.50, 62.014829 }, //17 July 1996, UT1-UTC= 0.1691706, Accumulated Leap Seconds=30 + { 2450282.50, 62.015844 }, //18 July 1996, UT1-UTC= 0.1681560, Accumulated Leap Seconds=30 + { 2450283.50, 62.016950 }, //19 July 1996, UT1-UTC= 0.1670503, Accumulated Leap Seconds=30 + { 2450284.50, 62.018133 }, //20 July 1996, UT1-UTC= 0.1658675, Accumulated Leap Seconds=30 + { 2450285.50, 62.019377 }, //21 July 1996, UT1-UTC= 0.1646226, Accumulated Leap Seconds=30 + { 2450286.50, 62.020668 }, //22 July 1996, UT1-UTC= 0.1633317, Accumulated Leap Seconds=30 + { 2450287.50, 62.021989 }, //23 July 1996, UT1-UTC= 0.1620112, Accumulated Leap Seconds=30 + { 2450288.50, 62.023324 }, //24 July 1996, UT1-UTC= 0.1606759, Accumulated Leap Seconds=30 + { 2450289.50, 62.024662 }, //25 July 1996, UT1-UTC= 0.1593380, Accumulated Leap Seconds=30 + { 2450290.50, 62.025966 }, //26 July 1996, UT1-UTC= 0.1580340, Accumulated Leap Seconds=30 + { 2450291.50, 62.027210 }, //27 July 1996, UT1-UTC= 0.1567900, Accumulated Leap Seconds=30 + { 2450292.50, 62.028430 }, //28 July 1996, UT1-UTC= 0.1555698, Accumulated Leap Seconds=30 + { 2450293.50, 62.029695 }, //29 July 1996, UT1-UTC= 0.1543052, Accumulated Leap Seconds=30 + { 2450294.50, 62.031071 }, //30 July 1996, UT1-UTC= 0.1529285, Accumulated Leap Seconds=30 + { 2450295.50, 62.032606 }, //31 July 1996, UT1-UTC= 0.1513944, Accumulated Leap Seconds=30 + { 2450296.50, 62.034294 }, //01 August 1996, UT1-UTC= 0.1497062, Accumulated Leap Seconds=30 + { 2450297.50, 62.036058 }, //02 August 1996, UT1-UTC= 0.1479419, Accumulated Leap Seconds=30 + { 2450298.50, 62.037788 }, //03 August 1996, UT1-UTC= 0.1462116, Accumulated Leap Seconds=30 + { 2450299.50, 62.039382 }, //04 August 1996, UT1-UTC= 0.1446181, Accumulated Leap Seconds=30 + { 2450300.50, 62.040784 }, //05 August 1996, UT1-UTC= 0.1432162, Accumulated Leap Seconds=30 + { 2450301.50, 62.041990 }, //06 August 1996, UT1-UTC= 0.1420101, Accumulated Leap Seconds=30 + { 2450302.50, 62.043014 }, //07 August 1996, UT1-UTC= 0.1409863, Accumulated Leap Seconds=30 + { 2450303.50, 62.043875 }, //08 August 1996, UT1-UTC= 0.1401254, Accumulated Leap Seconds=30 + { 2450304.50, 62.044620 }, //09 August 1996, UT1-UTC= 0.1393797, Accumulated Leap Seconds=30 + { 2450305.50, 62.045308 }, //10 August 1996, UT1-UTC= 0.1386916, Accumulated Leap Seconds=30 + { 2450306.50, 62.045973 }, //11 August 1996, UT1-UTC= 0.1380267, Accumulated Leap Seconds=30 + { 2450307.50, 62.046665 }, //12 August 1996, UT1-UTC= 0.1373348, Accumulated Leap Seconds=30 + { 2450308.50, 62.047416 }, //13 August 1996, UT1-UTC= 0.1365844, Accumulated Leap Seconds=30 + { 2450309.50, 62.048239 }, //14 August 1996, UT1-UTC= 0.1357608, Accumulated Leap Seconds=30 + { 2450310.50, 62.049147 }, //15 August 1996, UT1-UTC= 0.1348527, Accumulated Leap Seconds=30 + { 2450311.50, 62.050147 }, //16 August 1996, UT1-UTC= 0.1338526, Accumulated Leap Seconds=30 + { 2450312.50, 62.051236 }, //17 August 1996, UT1-UTC= 0.1327641, Accumulated Leap Seconds=30 + { 2450313.50, 62.052387 }, //18 August 1996, UT1-UTC= 0.1316126, Accumulated Leap Seconds=30 + { 2450314.50, 62.053561 }, //19 August 1996, UT1-UTC= 0.1304387, Accumulated Leap Seconds=30 + { 2450315.50, 62.054730 }, //20 August 1996, UT1-UTC= 0.1292702, Accumulated Leap Seconds=30 + { 2450316.50, 62.055876 }, //21 August 1996, UT1-UTC= 0.1281239, Accumulated Leap Seconds=30 + { 2450317.50, 62.057001 }, //22 August 1996, UT1-UTC= 0.1269986, Accumulated Leap Seconds=30 + { 2450318.50, 62.058117 }, //23 August 1996, UT1-UTC= 0.1258829, Accumulated Leap Seconds=30 + { 2450319.50, 62.059227 }, //24 August 1996, UT1-UTC= 0.1247726, Accumulated Leap Seconds=30 + { 2450320.50, 62.060361 }, //25 August 1996, UT1-UTC= 0.1236394, Accumulated Leap Seconds=30 + { 2450321.50, 62.061574 }, //26 August 1996, UT1-UTC= 0.1224258, Accumulated Leap Seconds=30 + { 2450322.50, 62.062918 }, //27 August 1996, UT1-UTC= 0.1210817, Accumulated Leap Seconds=30 + { 2450323.50, 62.064421 }, //28 August 1996, UT1-UTC= 0.1195793, Accumulated Leap Seconds=30 + { 2450324.50, 62.066106 }, //29 August 1996, UT1-UTC= 0.1178937, Accumulated Leap Seconds=30 + { 2450325.50, 62.067902 }, //30 August 1996, UT1-UTC= 0.1160979, Accumulated Leap Seconds=30 + { 2450326.50, 62.069703 }, //31 August 1996, UT1-UTC= 0.1142972, Accumulated Leap Seconds=30 + { 2450327.50, 62.071411 }, //01 September 1996, UT1-UTC= 0.1125892, Accumulated Leap Seconds=30 + { 2450328.50, 62.072956 }, //02 September 1996, UT1-UTC= 0.1110439, Accumulated Leap Seconds=30 + { 2450329.50, 62.074312 }, //03 September 1996, UT1-UTC= 0.1096882, Accumulated Leap Seconds=30 + { 2450330.50, 62.075486 }, //04 September 1996, UT1-UTC= 0.1085140, Accumulated Leap Seconds=30 + { 2450331.50, 62.076530 }, //05 September 1996, UT1-UTC= 0.1074697, Accumulated Leap Seconds=30 + { 2450332.50, 62.077490 }, //06 September 1996, UT1-UTC= 0.1065102, Accumulated Leap Seconds=30 + { 2450333.50, 62.078419 }, //07 September 1996, UT1-UTC= 0.1055810, Accumulated Leap Seconds=30 + { 2450334.50, 62.079356 }, //08 September 1996, UT1-UTC= 0.1046443, Accumulated Leap Seconds=30 + { 2450335.50, 62.080354 }, //09 September 1996, UT1-UTC= 0.1036456, Accumulated Leap Seconds=30 + { 2450336.50, 62.081472 }, //10 September 1996, UT1-UTC= 0.1025275, Accumulated Leap Seconds=30 + { 2450337.50, 62.082766 }, //11 September 1996, UT1-UTC= 0.1012340, Accumulated Leap Seconds=30 + { 2450338.50, 62.084273 }, //12 September 1996, UT1-UTC= 0.0997267, Accumulated Leap Seconds=30 + { 2450339.50, 62.085951 }, //13 September 1996, UT1-UTC= 0.0980494, Accumulated Leap Seconds=30 + { 2450340.50, 62.087725 }, //14 September 1996, UT1-UTC= 0.0962748, Accumulated Leap Seconds=30 + { 2450341.50, 62.089539 }, //15 September 1996, UT1-UTC= 0.0944614, Accumulated Leap Seconds=30 + { 2450342.50, 62.091345 }, //16 September 1996, UT1-UTC= 0.0926553, Accumulated Leap Seconds=30 + { 2450343.50, 62.093096 }, //17 September 1996, UT1-UTC= 0.0909044, Accumulated Leap Seconds=30 + { 2450344.50, 62.094759 }, //18 September 1996, UT1-UTC= 0.0892408, Accumulated Leap Seconds=30 + { 2450345.50, 62.096354 }, //19 September 1996, UT1-UTC= 0.0876456, Accumulated Leap Seconds=30 + { 2450346.50, 62.097923 }, //20 September 1996, UT1-UTC= 0.0860766, Accumulated Leap Seconds=30 + { 2450347.50, 62.099522 }, //21 September 1996, UT1-UTC= 0.0844781, Accumulated Leap Seconds=30 + { 2450348.50, 62.101194 }, //22 September 1996, UT1-UTC= 0.0828060, Accumulated Leap Seconds=30 + { 2450349.50, 62.103010 }, //23 September 1996, UT1-UTC= 0.0809897, Accumulated Leap Seconds=30 + { 2450350.50, 62.105018 }, //24 September 1996, UT1-UTC= 0.0789821, Accumulated Leap Seconds=30 + { 2450351.50, 62.107218 }, //25 September 1996, UT1-UTC= 0.0767816, Accumulated Leap Seconds=30 + { 2450352.50, 62.109553 }, //26 September 1996, UT1-UTC= 0.0744470, Accumulated Leap Seconds=30 + { 2450353.50, 62.111914 }, //27 September 1996, UT1-UTC= 0.0720855, Accumulated Leap Seconds=30 + { 2450354.50, 62.114202 }, //28 September 1996, UT1-UTC= 0.0697982, Accumulated Leap Seconds=30 + { 2450355.50, 62.116352 }, //29 September 1996, UT1-UTC= 0.0676484, Accumulated Leap Seconds=30 + { 2450356.50, 62.118353 }, //30 September 1996, UT1-UTC= 0.0656471, Accumulated Leap Seconds=30 + { 2450357.50, 62.120231 }, //01 October 1996, UT1-UTC= 0.0637685, Accumulated Leap Seconds=30 + { 2450358.50, 62.122015 }, //02 October 1996, UT1-UTC= 0.0619853, Accumulated Leap Seconds=30 + { 2450359.50, 62.123672 }, //03 October 1996, UT1-UTC= 0.0603279, Accumulated Leap Seconds=30 + { 2450360.50, 62.125247 }, //04 October 1996, UT1-UTC= 0.0587533, Accumulated Leap Seconds=30 + { 2450361.50, 62.126800 }, //05 October 1996, UT1-UTC= 0.0571995, Accumulated Leap Seconds=30 + { 2450362.50, 62.128391 }, //06 October 1996, UT1-UTC= 0.0556093, Accumulated Leap Seconds=30 + { 2450363.50, 62.130043 }, //07 October 1996, UT1-UTC= 0.0539571, Accumulated Leap Seconds=30 + { 2450364.50, 62.131779 }, //08 October 1996, UT1-UTC= 0.0522207, Accumulated Leap Seconds=30 + { 2450365.50, 62.133615 }, //09 October 1996, UT1-UTC= 0.0503846, Accumulated Leap Seconds=30 + { 2450366.50, 62.135559 }, //10 October 1996, UT1-UTC= 0.0484412, Accumulated Leap Seconds=30 + { 2450367.50, 62.137591 }, //11 October 1996, UT1-UTC= 0.0464085, Accumulated Leap Seconds=30 + { 2450368.50, 62.139681 }, //12 October 1996, UT1-UTC= 0.0443186, Accumulated Leap Seconds=30 + { 2450369.50, 62.141797 }, //13 October 1996, UT1-UTC= 0.0422025, Accumulated Leap Seconds=30 + { 2450370.50, 62.143910 }, //14 October 1996, UT1-UTC= 0.0400901, Accumulated Leap Seconds=30 + { 2450371.50, 62.145984 }, //15 October 1996, UT1-UTC= 0.0380158, Accumulated Leap Seconds=30 + { 2450372.50, 62.147994 }, //16 October 1996, UT1-UTC= 0.0360063, Accumulated Leap Seconds=30 + { 2450373.50, 62.149935 }, //17 October 1996, UT1-UTC= 0.0340650, Accumulated Leap Seconds=30 + { 2450374.50, 62.151825 }, //18 October 1996, UT1-UTC= 0.0321752, Accumulated Leap Seconds=30 + { 2450375.50, 62.153731 }, //19 October 1996, UT1-UTC= 0.0302686, Accumulated Leap Seconds=30 + { 2450376.50, 62.155745 }, //20 October 1996, UT1-UTC= 0.0282546, Accumulated Leap Seconds=30 + { 2450377.50, 62.157889 }, //21 October 1996, UT1-UTC= 0.0261109, Accumulated Leap Seconds=30 + { 2450378.50, 62.160147 }, //22 October 1996, UT1-UTC= 0.0238534, Accumulated Leap Seconds=30 + { 2450379.50, 62.162501 }, //23 October 1996, UT1-UTC= 0.0214994, Accumulated Leap Seconds=30 + { 2450380.50, 62.164943 }, //24 October 1996, UT1-UTC= 0.0190565, Accumulated Leap Seconds=30 + { 2450381.50, 62.167396 }, //25 October 1996, UT1-UTC= 0.0166042, Accumulated Leap Seconds=30 + { 2450382.50, 62.169762 }, //26 October 1996, UT1-UTC= 0.0142378, Accumulated Leap Seconds=30 + { 2450383.50, 62.171983 }, //27 October 1996, UT1-UTC= 0.0120173, Accumulated Leap Seconds=30 + { 2450384.50, 62.174033 }, //28 October 1996, UT1-UTC= 0.0099672, Accumulated Leap Seconds=30 + { 2450385.50, 62.175923 }, //29 October 1996, UT1-UTC= 0.0080767, Accumulated Leap Seconds=30 + { 2450386.50, 62.177677 }, //30 October 1996, UT1-UTC= 0.0063228, Accumulated Leap Seconds=30 + { 2450387.50, 62.179332 }, //31 October 1996, UT1-UTC= 0.0046680, Accumulated Leap Seconds=30 + { 2450388.50, 62.180951 }, //01 November 1996, UT1-UTC= 0.0030492, Accumulated Leap Seconds=30 + { 2450389.50, 62.182581 }, //02 November 1996, UT1-UTC= 0.0014189, Accumulated Leap Seconds=30 + { 2450390.50, 62.184275 }, //03 November 1996, UT1-UTC=-0.0002751, Accumulated Leap Seconds=30 + { 2450391.50, 62.186076 }, //04 November 1996, UT1-UTC=-0.0020760, Accumulated Leap Seconds=30 + { 2450392.50, 62.188006 }, //05 November 1996, UT1-UTC=-0.0040059, Accumulated Leap Seconds=30 + { 2450393.50, 62.190066 }, //06 November 1996, UT1-UTC=-0.0060663, Accumulated Leap Seconds=30 + { 2450394.50, 62.192203 }, //07 November 1996, UT1-UTC=-0.0082034, Accumulated Leap Seconds=30 + { 2450395.50, 62.194382 }, //08 November 1996, UT1-UTC=-0.0103823, Accumulated Leap Seconds=30 + { 2450396.50, 62.196566 }, //09 November 1996, UT1-UTC=-0.0125659, Accumulated Leap Seconds=30 + { 2450397.50, 62.198701 }, //10 November 1996, UT1-UTC=-0.0147006, Accumulated Leap Seconds=30 + { 2450398.50, 62.200780 }, //11 November 1996, UT1-UTC=-0.0167801, Accumulated Leap Seconds=30 + { 2450399.50, 62.202821 }, //12 November 1996, UT1-UTC=-0.0188207, Accumulated Leap Seconds=30 + { 2450400.50, 62.204845 }, //13 November 1996, UT1-UTC=-0.0208447, Accumulated Leap Seconds=30 + { 2450401.50, 62.206817 }, //14 November 1996, UT1-UTC=-0.0228168, Accumulated Leap Seconds=30 + { 2450402.50, 62.208698 }, //15 November 1996, UT1-UTC=-0.0246977, Accumulated Leap Seconds=30 + { 2450403.50, 62.210539 }, //16 November 1996, UT1-UTC=-0.0265391, Accumulated Leap Seconds=30 + { 2450404.50, 62.212455 }, //17 November 1996, UT1-UTC=-0.0284548, Accumulated Leap Seconds=30 + { 2450405.50, 62.214476 }, //18 November 1996, UT1-UTC=-0.0304757, Accumulated Leap Seconds=30 + { 2450406.50, 62.216584 }, //19 November 1996, UT1-UTC=-0.0325842, Accumulated Leap Seconds=30 + { 2450407.50, 62.218742 }, //20 November 1996, UT1-UTC=-0.0347420, Accumulated Leap Seconds=30 + { 2450408.50, 62.220903 }, //21 November 1996, UT1-UTC=-0.0369032, Accumulated Leap Seconds=30 + { 2450409.50, 62.223002 }, //22 November 1996, UT1-UTC=-0.0390021, Accumulated Leap Seconds=30 + { 2450410.50, 62.224982 }, //23 November 1996, UT1-UTC=-0.0409816, Accumulated Leap Seconds=30 + { 2450411.50, 62.226827 }, //24 November 1996, UT1-UTC=-0.0428270, Accumulated Leap Seconds=30 + { 2450412.50, 62.228559 }, //25 November 1996, UT1-UTC=-0.0445593, Accumulated Leap Seconds=30 + { 2450413.50, 62.230208 }, //26 November 1996, UT1-UTC=-0.0462081, Accumulated Leap Seconds=30 + { 2450414.50, 62.231811 }, //27 November 1996, UT1-UTC=-0.0478106, Accumulated Leap Seconds=30 + { 2450415.50, 62.233386 }, //28 November 1996, UT1-UTC=-0.0493859, Accumulated Leap Seconds=30 + { 2450416.50, 62.234960 }, //29 November 1996, UT1-UTC=-0.0509597, Accumulated Leap Seconds=30 + { 2450417.50, 62.236559 }, //30 November 1996, UT1-UTC=-0.0525595, Accumulated Leap Seconds=30 + { 2450418.50, 62.238205 }, //01 December 1996, UT1-UTC=-0.0542046, Accumulated Leap Seconds=30 + { 2450419.50, 62.239894 }, //02 December 1996, UT1-UTC=-0.0558944, Accumulated Leap Seconds=30 + { 2450420.50, 62.241613 }, //03 December 1996, UT1-UTC=-0.0576134, Accumulated Leap Seconds=30 + { 2450421.50, 62.243355 }, //04 December 1996, UT1-UTC=-0.0593555, Accumulated Leap Seconds=30 + { 2450422.50, 62.245138 }, //05 December 1996, UT1-UTC=-0.0611377, Accumulated Leap Seconds=30 + { 2450423.50, 62.246946 }, //06 December 1996, UT1-UTC=-0.0629464, Accumulated Leap Seconds=30 + { 2450424.50, 62.248739 }, //07 December 1996, UT1-UTC=-0.0647395, Accumulated Leap Seconds=30 + { 2450425.50, 62.250487 }, //08 December 1996, UT1-UTC=-0.0664871, Accumulated Leap Seconds=30 + { 2450426.50, 62.252178 }, //09 December 1996, UT1-UTC=-0.0681783, Accumulated Leap Seconds=30 + { 2450427.50, 62.253825 }, //10 December 1996, UT1-UTC=-0.0698246, Accumulated Leap Seconds=30 + { 2450428.50, 62.255457 }, //11 December 1996, UT1-UTC=-0.0714568, Accumulated Leap Seconds=30 + { 2450429.50, 62.257118 }, //12 December 1996, UT1-UTC=-0.0731184, Accumulated Leap Seconds=30 + { 2450430.50, 62.258848 }, //13 December 1996, UT1-UTC=-0.0748482, Accumulated Leap Seconds=30 + { 2450431.50, 62.260688 }, //14 December 1996, UT1-UTC=-0.0766884, Accumulated Leap Seconds=30 + { 2450432.50, 62.262657 }, //15 December 1996, UT1-UTC=-0.0786567, Accumulated Leap Seconds=30 + { 2450433.50, 62.264731 }, //16 December 1996, UT1-UTC=-0.0807312, Accumulated Leap Seconds=30 + { 2450434.50, 62.266872 }, //17 December 1996, UT1-UTC=-0.0828724, Accumulated Leap Seconds=30 + { 2450435.50, 62.269040 }, //18 December 1996, UT1-UTC=-0.0850402, Accumulated Leap Seconds=30 + { 2450436.50, 62.271198 }, //19 December 1996, UT1-UTC=-0.0871980, Accumulated Leap Seconds=30 + { 2450437.50, 62.273283 }, //20 December 1996, UT1-UTC=-0.0892835, Accumulated Leap Seconds=30 + { 2450438.50, 62.275251 }, //21 December 1996, UT1-UTC=-0.0912506, Accumulated Leap Seconds=30 + { 2450439.50, 62.277105 }, //22 December 1996, UT1-UTC=-0.0931049, Accumulated Leap Seconds=30 + { 2450440.50, 62.278882 }, //23 December 1996, UT1-UTC=-0.0948824, Accumulated Leap Seconds=30 + { 2450441.50, 62.280605 }, //24 December 1996, UT1-UTC=-0.0966050, Accumulated Leap Seconds=30 + { 2450442.50, 62.282288 }, //25 December 1996, UT1-UTC=-0.0982878, Accumulated Leap Seconds=30 + { 2450443.50, 62.283962 }, //26 December 1996, UT1-UTC=-0.0999625, Accumulated Leap Seconds=30 + { 2450444.50, 62.285663 }, //27 December 1996, UT1-UTC=-0.1016632, Accumulated Leap Seconds=30 + { 2450445.50, 62.287416 }, //28 December 1996, UT1-UTC=-0.1034160, Accumulated Leap Seconds=30 + { 2450446.50, 62.289234 }, //29 December 1996, UT1-UTC=-0.1052344, Accumulated Leap Seconds=30 + { 2450447.50, 62.291120 }, //30 December 1996, UT1-UTC=-0.1071200, Accumulated Leap Seconds=30 + { 2450448.50, 62.293063 }, //31 December 1996, UT1-UTC=-0.1090635, Accumulated Leap Seconds=30 + { 2450449.50, 62.295049 }, //01 January 1997, UT1-UTC=-0.1110486, Accumulated Leap Seconds=30 + { 2450450.50, 62.297053 }, //02 January 1997, UT1-UTC=-0.1130531, Accumulated Leap Seconds=30 + { 2450451.50, 62.299055 }, //03 January 1997, UT1-UTC=-0.1150555, Accumulated Leap Seconds=30 + { 2450452.50, 62.301029 }, //04 January 1997, UT1-UTC=-0.1170293, Accumulated Leap Seconds=30 + { 2450453.50, 62.302955 }, //05 January 1997, UT1-UTC=-0.1189555, Accumulated Leap Seconds=30 + { 2450454.50, 62.304832 }, //06 January 1997, UT1-UTC=-0.1208321, Accumulated Leap Seconds=30 + { 2450455.50, 62.306672 }, //07 January 1997, UT1-UTC=-0.1226723, Accumulated Leap Seconds=30 + { 2450456.50, 62.308512 }, //08 January 1997, UT1-UTC=-0.1245120, Accumulated Leap Seconds=30 + { 2450457.50, 62.310397 }, //09 January 1997, UT1-UTC=-0.1263974, Accumulated Leap Seconds=30 + { 2450458.50, 62.312363 }, //10 January 1997, UT1-UTC=-0.1283633, Accumulated Leap Seconds=30 + { 2450459.50, 62.314434 }, //11 January 1997, UT1-UTC=-0.1304342, Accumulated Leap Seconds=30 + { 2450460.50, 62.316595 }, //12 January 1997, UT1-UTC=-0.1325949, Accumulated Leap Seconds=30 + { 2450461.50, 62.318811 }, //13 January 1997, UT1-UTC=-0.1348112, Accumulated Leap Seconds=30 + { 2450462.50, 62.321047 }, //14 January 1997, UT1-UTC=-0.1370468, Accumulated Leap Seconds=30 + { 2450463.50, 62.323249 }, //15 January 1997, UT1-UTC=-0.1392488, Accumulated Leap Seconds=30 + { 2450464.50, 62.325363 }, //16 January 1997, UT1-UTC=-0.1413634, Accumulated Leap Seconds=30 + { 2450465.50, 62.327344 }, //17 January 1997, UT1-UTC=-0.1433445, Accumulated Leap Seconds=30 + { 2450466.50, 62.329164 }, //18 January 1997, UT1-UTC=-0.1451642, Accumulated Leap Seconds=30 + { 2450467.50, 62.330822 }, //19 January 1997, UT1-UTC=-0.1468222, Accumulated Leap Seconds=30 + { 2450468.50, 62.332351 }, //20 January 1997, UT1-UTC=-0.1483507, Accumulated Leap Seconds=30 + { 2450469.50, 62.333794 }, //21 January 1997, UT1-UTC=-0.1497942, Accumulated Leap Seconds=30 + { 2450470.50, 62.335207 }, //22 January 1997, UT1-UTC=-0.1512068, Accumulated Leap Seconds=30 + { 2450471.50, 62.336650 }, //23 January 1997, UT1-UTC=-0.1526505, Accumulated Leap Seconds=30 + { 2450472.50, 62.338129 }, //24 January 1997, UT1-UTC=-0.1541289, Accumulated Leap Seconds=30 + { 2450473.50, 62.339619 }, //25 January 1997, UT1-UTC=-0.1556195, Accumulated Leap Seconds=30 + { 2450474.50, 62.341145 }, //26 January 1997, UT1-UTC=-0.1571450, Accumulated Leap Seconds=30 + { 2450475.50, 62.342726 }, //27 January 1997, UT1-UTC=-0.1587262, Accumulated Leap Seconds=30 + { 2450476.50, 62.344365 }, //28 January 1997, UT1-UTC=-0.1603647, Accumulated Leap Seconds=30 + { 2450477.50, 62.346024 }, //29 January 1997, UT1-UTC=-0.1620237, Accumulated Leap Seconds=30 + { 2450478.50, 62.347627 }, //30 January 1997, UT1-UTC=-0.1636273, Accumulated Leap Seconds=30 + { 2450479.50, 62.349165 }, //31 January 1997, UT1-UTC=-0.1651655, Accumulated Leap Seconds=30 + { 2450480.50, 62.350648 }, //01 February 1997, UT1-UTC=-0.1666479, Accumulated Leap Seconds=30 + { 2450481.50, 62.352034 }, //02 February 1997, UT1-UTC=-0.1680344, Accumulated Leap Seconds=30 + { 2450482.50, 62.353331 }, //03 February 1997, UT1-UTC=-0.1693311, Accumulated Leap Seconds=30 + { 2450483.50, 62.354593 }, //04 February 1997, UT1-UTC=-0.1705927, Accumulated Leap Seconds=30 + { 2450484.50, 62.355897 }, //05 February 1997, UT1-UTC=-0.1718975, Accumulated Leap Seconds=30 + { 2450485.50, 62.357340 }, //06 February 1997, UT1-UTC=-0.1733399, Accumulated Leap Seconds=30 + { 2450486.50, 62.358965 }, //07 February 1997, UT1-UTC=-0.1749655, Accumulated Leap Seconds=30 + { 2450487.50, 62.360784 }, //08 February 1997, UT1-UTC=-0.1767845, Accumulated Leap Seconds=30 + { 2450488.50, 62.362750 }, //09 February 1997, UT1-UTC=-0.1787497, Accumulated Leap Seconds=30 + { 2450489.50, 62.364788 }, //10 February 1997, UT1-UTC=-0.1807885, Accumulated Leap Seconds=30 + { 2450490.50, 62.366861 }, //11 February 1997, UT1-UTC=-0.1828615, Accumulated Leap Seconds=30 + { 2450491.50, 62.368925 }, //12 February 1997, UT1-UTC=-0.1849246, Accumulated Leap Seconds=30 + { 2450492.50, 62.370870 }, //13 February 1997, UT1-UTC=-0.1868698, Accumulated Leap Seconds=30 + { 2450493.50, 62.372667 }, //14 February 1997, UT1-UTC=-0.1886672, Accumulated Leap Seconds=30 + { 2450494.50, 62.374350 }, //15 February 1997, UT1-UTC=-0.1903496, Accumulated Leap Seconds=30 + { 2450495.50, 62.375942 }, //16 February 1997, UT1-UTC=-0.1919421, Accumulated Leap Seconds=30 + { 2450496.50, 62.377472 }, //17 February 1997, UT1-UTC=-0.1934717, Accumulated Leap Seconds=30 + { 2450497.50, 62.378994 }, //18 February 1997, UT1-UTC=-0.1949944, Accumulated Leap Seconds=30 + { 2450498.50, 62.380550 }, //19 February 1997, UT1-UTC=-0.1965501, Accumulated Leap Seconds=30 + { 2450499.50, 62.382159 }, //20 February 1997, UT1-UTC=-0.1981592, Accumulated Leap Seconds=30 + { 2450500.50, 62.383847 }, //21 February 1997, UT1-UTC=-0.1998471, Accumulated Leap Seconds=30 + { 2450501.50, 62.385624 }, //22 February 1997, UT1-UTC=-0.2016242, Accumulated Leap Seconds=30 + { 2450502.50, 62.387499 }, //23 February 1997, UT1-UTC=-0.2034987, Accumulated Leap Seconds=30 + { 2450503.50, 62.389456 }, //24 February 1997, UT1-UTC=-0.2054556, Accumulated Leap Seconds=30 + { 2450504.50, 62.391475 }, //25 February 1997, UT1-UTC=-0.2074754, Accumulated Leap Seconds=30 + { 2450505.50, 62.393507 }, //26 February 1997, UT1-UTC=-0.2095069, Accumulated Leap Seconds=30 + { 2450506.50, 62.395520 }, //27 February 1997, UT1-UTC=-0.2115197, Accumulated Leap Seconds=30 + { 2450507.50, 62.397527 }, //28 February 1997, UT1-UTC=-0.2135268, Accumulated Leap Seconds=30 + { 2450508.50, 62.399538 }, //01 March 1997, UT1-UTC=-0.2155381, Accumulated Leap Seconds=30 + { 2450509.50, 62.401555 }, //02 March 1997, UT1-UTC=-0.2175554, Accumulated Leap Seconds=30 + { 2450510.50, 62.403581 }, //03 March 1997, UT1-UTC=-0.2195808, Accumulated Leap Seconds=30 + { 2450511.50, 62.405631 }, //04 March 1997, UT1-UTC=-0.2216314, Accumulated Leap Seconds=30 + { 2450512.50, 62.407748 }, //05 March 1997, UT1-UTC=-0.2237477, Accumulated Leap Seconds=30 + { 2450513.50, 62.409986 }, //06 March 1997, UT1-UTC=-0.2259856, Accumulated Leap Seconds=30 + { 2450514.50, 62.412409 }, //07 March 1997, UT1-UTC=-0.2284086, Accumulated Leap Seconds=30 + { 2450515.50, 62.415037 }, //08 March 1997, UT1-UTC=-0.2310370, Accumulated Leap Seconds=30 + { 2450516.50, 62.417831 }, //09 March 1997, UT1-UTC=-0.2338305, Accumulated Leap Seconds=30 + { 2450517.50, 62.420696 }, //10 March 1997, UT1-UTC=-0.2366965, Accumulated Leap Seconds=30 + { 2450518.50, 62.423540 }, //11 March 1997, UT1-UTC=-0.2395397, Accumulated Leap Seconds=30 + { 2450519.50, 62.426283 }, //12 March 1997, UT1-UTC=-0.2422826, Accumulated Leap Seconds=30 + { 2450520.50, 62.428880 }, //13 March 1997, UT1-UTC=-0.2448799, Accumulated Leap Seconds=30 + { 2450521.50, 62.431343 }, //14 March 1997, UT1-UTC=-0.2473432, Accumulated Leap Seconds=30 + { 2450522.50, 62.433717 }, //15 March 1997, UT1-UTC=-0.2497171, Accumulated Leap Seconds=30 + { 2450523.50, 62.436052 }, //16 March 1997, UT1-UTC=-0.2520524, Accumulated Leap Seconds=30 + { 2450524.50, 62.438387 }, //17 March 1997, UT1-UTC=-0.2543874, Accumulated Leap Seconds=30 + { 2450525.50, 62.440743 }, //18 March 1997, UT1-UTC=-0.2567432, Accumulated Leap Seconds=30 + { 2450526.50, 62.443141 }, //19 March 1997, UT1-UTC=-0.2591406, Accumulated Leap Seconds=30 + { 2450527.50, 62.445592 }, //20 March 1997, UT1-UTC=-0.2615925, Accumulated Leap Seconds=30 + { 2450528.50, 62.448062 }, //21 March 1997, UT1-UTC=-0.2640623, Accumulated Leap Seconds=30 + { 2450529.50, 62.450560 }, //22 March 1997, UT1-UTC=-0.2665600, Accumulated Leap Seconds=30 + { 2450530.50, 62.453100 }, //23 March 1997, UT1-UTC=-0.2691000, Accumulated Leap Seconds=30 + { 2450531.50, 62.455667 }, //24 March 1997, UT1-UTC=-0.2716668, Accumulated Leap Seconds=30 + { 2450532.50, 62.458240 }, //25 March 1997, UT1-UTC=-0.2742399, Accumulated Leap Seconds=30 + { 2450533.50, 62.460794 }, //26 March 1997, UT1-UTC=-0.2767937, Accumulated Leap Seconds=30 + { 2450534.50, 62.463303 }, //27 March 1997, UT1-UTC=-0.2793032, Accumulated Leap Seconds=30 + { 2450535.50, 62.465759 }, //28 March 1997, UT1-UTC=-0.2817595, Accumulated Leap Seconds=30 + { 2450536.50, 62.468176 }, //29 March 1997, UT1-UTC=-0.2841759, Accumulated Leap Seconds=30 + { 2450537.50, 62.470568 }, //30 March 1997, UT1-UTC=-0.2865684, Accumulated Leap Seconds=30 + { 2450538.50, 62.472962 }, //31 March 1997, UT1-UTC=-0.2889622, Accumulated Leap Seconds=30 + { 2450539.50, 62.475395 }, //01 April 1997, UT1-UTC=-0.2913950, Accumulated Leap Seconds=30 + { 2450540.50, 62.477903 }, //02 April 1997, UT1-UTC=-0.2939026, Accumulated Leap Seconds=30 + { 2450541.50, 62.480517 }, //03 April 1997, UT1-UTC=-0.2965173, Accumulated Leap Seconds=30 + { 2450542.50, 62.483267 }, //04 April 1997, UT1-UTC=-0.2992667, Accumulated Leap Seconds=30 + { 2450543.50, 62.486150 }, //05 April 1997, UT1-UTC=-0.3021503, Accumulated Leap Seconds=30 + { 2450544.50, 62.489115 }, //06 April 1997, UT1-UTC=-0.3051146, Accumulated Leap Seconds=30 + { 2450545.50, 62.492072 }, //07 April 1997, UT1-UTC=-0.3080719, Accumulated Leap Seconds=30 + { 2450546.50, 62.494934 }, //08 April 1997, UT1-UTC=-0.3109337, Accumulated Leap Seconds=30 + { 2450547.50, 62.497640 }, //09 April 1997, UT1-UTC=-0.3136397, Accumulated Leap Seconds=30 + { 2450548.50, 62.500189 }, //10 April 1997, UT1-UTC=-0.3161888, Accumulated Leap Seconds=30 + { 2450549.50, 62.502595 }, //11 April 1997, UT1-UTC=-0.3185955, Accumulated Leap Seconds=30 + { 2450550.50, 62.504892 }, //12 April 1997, UT1-UTC=-0.3208919, Accumulated Leap Seconds=30 + { 2450551.50, 62.507114 }, //13 April 1997, UT1-UTC=-0.3231144, Accumulated Leap Seconds=30 + { 2450552.50, 62.509302 }, //14 April 1997, UT1-UTC=-0.3253019, Accumulated Leap Seconds=30 + { 2450553.50, 62.511485 }, //15 April 1997, UT1-UTC=-0.3274855, Accumulated Leap Seconds=30 + { 2450554.50, 62.513693 }, //16 April 1997, UT1-UTC=-0.3296933, Accumulated Leap Seconds=30 + { 2450555.50, 62.515967 }, //17 April 1997, UT1-UTC=-0.3319670, Accumulated Leap Seconds=30 + { 2450556.50, 62.518286 }, //18 April 1997, UT1-UTC=-0.3342865, Accumulated Leap Seconds=30 + { 2450557.50, 62.520625 }, //19 April 1997, UT1-UTC=-0.3366253, Accumulated Leap Seconds=30 + { 2450558.50, 62.522985 }, //20 April 1997, UT1-UTC=-0.3389850, Accumulated Leap Seconds=30 + { 2450559.50, 62.525348 }, //21 April 1997, UT1-UTC=-0.3413476, Accumulated Leap Seconds=30 + { 2450560.50, 62.527669 }, //22 April 1997, UT1-UTC=-0.3436692, Accumulated Leap Seconds=30 + { 2450561.50, 62.529916 }, //23 April 1997, UT1-UTC=-0.3459163, Accumulated Leap Seconds=30 + { 2450562.50, 62.532082 }, //24 April 1997, UT1-UTC=-0.3480818, Accumulated Leap Seconds=30 + { 2450563.50, 62.534170 }, //25 April 1997, UT1-UTC=-0.3501698, Accumulated Leap Seconds=30 + { 2450564.50, 62.536190 }, //26 April 1997, UT1-UTC=-0.3521904, Accumulated Leap Seconds=30 + { 2450565.50, 62.538157 }, //27 April 1997, UT1-UTC=-0.3541570, Accumulated Leap Seconds=30 + { 2450566.50, 62.540102 }, //28 April 1997, UT1-UTC=-0.3561023, Accumulated Leap Seconds=30 + { 2450567.50, 62.542078 }, //29 April 1997, UT1-UTC=-0.3580781, Accumulated Leap Seconds=30 + { 2450568.50, 62.544135 }, //30 April 1997, UT1-UTC=-0.3601355, Accumulated Leap Seconds=30 + { 2450569.50, 62.546309 }, //01 May 1997, UT1-UTC=-0.3623091, Accumulated Leap Seconds=30 + { 2450570.50, 62.548590 }, //02 May 1997, UT1-UTC=-0.3645905, Accumulated Leap Seconds=30 + { 2450571.50, 62.550979 }, //03 May 1997, UT1-UTC=-0.3669788, Accumulated Leap Seconds=30 + { 2450572.50, 62.553456 }, //04 May 1997, UT1-UTC=-0.3694563, Accumulated Leap Seconds=30 + { 2450573.50, 62.555966 }, //05 May 1997, UT1-UTC=-0.3719660, Accumulated Leap Seconds=30 + { 2450574.50, 62.558440 }, //06 May 1997, UT1-UTC=-0.3744398, Accumulated Leap Seconds=30 + { 2450575.50, 62.560836 }, //07 May 1997, UT1-UTC=-0.3768360, Accumulated Leap Seconds=30 + { 2450576.50, 62.563092 }, //08 May 1997, UT1-UTC=-0.3790923, Accumulated Leap Seconds=30 + { 2450577.50, 62.565216 }, //09 May 1997, UT1-UTC=-0.3812157, Accumulated Leap Seconds=30 + { 2450578.50, 62.567260 }, //10 May 1997, UT1-UTC=-0.3832600, Accumulated Leap Seconds=30 + { 2450579.50, 62.569249 }, //11 May 1997, UT1-UTC=-0.3852491, Accumulated Leap Seconds=30 + { 2450580.50, 62.571207 }, //12 May 1997, UT1-UTC=-0.3872073, Accumulated Leap Seconds=30 + { 2450581.50, 62.573157 }, //13 May 1997, UT1-UTC=-0.3891574, Accumulated Leap Seconds=30 + { 2450582.50, 62.575111 }, //14 May 1997, UT1-UTC=-0.3911112, Accumulated Leap Seconds=30 + { 2450583.50, 62.577072 }, //15 May 1997, UT1-UTC=-0.3930716, Accumulated Leap Seconds=30 + { 2450584.50, 62.579048 }, //16 May 1997, UT1-UTC=-0.3950484, Accumulated Leap Seconds=30 + { 2450585.50, 62.581060 }, //17 May 1997, UT1-UTC=-0.3970597, Accumulated Leap Seconds=30 + { 2450586.50, 62.583110 }, //18 May 1997, UT1-UTC=-0.3991102, Accumulated Leap Seconds=30 + { 2450587.50, 62.585187 }, //19 May 1997, UT1-UTC=-0.4011869, Accumulated Leap Seconds=30 + { 2450588.50, 62.587278 }, //20 May 1997, UT1-UTC=-0.4032776, Accumulated Leap Seconds=30 + { 2450589.50, 62.589367 }, //21 May 1997, UT1-UTC=-0.4053668, Accumulated Leap Seconds=30 + { 2450590.50, 62.591421 }, //22 May 1997, UT1-UTC=-0.4074215, Accumulated Leap Seconds=30 + { 2450591.50, 62.593427 }, //23 May 1997, UT1-UTC=-0.4094272, Accumulated Leap Seconds=30 + { 2450592.50, 62.595400 }, //24 May 1997, UT1-UTC=-0.4114004, Accumulated Leap Seconds=30 + { 2450593.50, 62.597370 }, //25 May 1997, UT1-UTC=-0.4133700, Accumulated Leap Seconds=30 + { 2450594.50, 62.599376 }, //26 May 1997, UT1-UTC=-0.4153756, Accumulated Leap Seconds=30 + { 2450595.50, 62.601468 }, //27 May 1997, UT1-UTC=-0.4174680, Accumulated Leap Seconds=30 + { 2450596.50, 62.603691 }, //28 May 1997, UT1-UTC=-0.4196912, Accumulated Leap Seconds=30 + { 2450597.50, 62.606063 }, //29 May 1997, UT1-UTC=-0.4220631, Accumulated Leap Seconds=30 + { 2450598.50, 62.608554 }, //30 May 1997, UT1-UTC=-0.4245540, Accumulated Leap Seconds=30 + { 2450599.50, 62.611092 }, //31 May 1997, UT1-UTC=-0.4270924, Accumulated Leap Seconds=30 + { 2450600.50, 62.613603 }, //01 June 1997, UT1-UTC=-0.4296031, Accumulated Leap Seconds=30 + { 2450601.50, 62.616024 }, //02 June 1997, UT1-UTC=-0.4320241, Accumulated Leap Seconds=30 + { 2450602.50, 62.618291 }, //03 June 1997, UT1-UTC=-0.4342910, Accumulated Leap Seconds=30 + { 2450603.50, 62.620362 }, //04 June 1997, UT1-UTC=-0.4363620, Accumulated Leap Seconds=30 + { 2450604.50, 62.622218 }, //05 June 1997, UT1-UTC=-0.4382183, Accumulated Leap Seconds=30 + { 2450605.50, 62.623888 }, //06 June 1997, UT1-UTC=-0.4398880, Accumulated Leap Seconds=30 + { 2450606.50, 62.625440 }, //07 June 1997, UT1-UTC=-0.4414402, Accumulated Leap Seconds=30 + { 2450607.50, 62.626925 }, //08 June 1997, UT1-UTC=-0.4429250, Accumulated Leap Seconds=30 + { 2450608.50, 62.628385 }, //09 June 1997, UT1-UTC=-0.4443850, Accumulated Leap Seconds=30 + { 2450609.50, 62.629859 }, //10 June 1997, UT1-UTC=-0.4458595, Accumulated Leap Seconds=30 + { 2450610.50, 62.631378 }, //11 June 1997, UT1-UTC=-0.4473781, Accumulated Leap Seconds=30 + { 2450611.50, 62.632949 }, //12 June 1997, UT1-UTC=-0.4489494, Accumulated Leap Seconds=30 + { 2450612.50, 62.634554 }, //13 June 1997, UT1-UTC=-0.4505541, Accumulated Leap Seconds=30 + { 2450613.50, 62.636163 }, //14 June 1997, UT1-UTC=-0.4521635, Accumulated Leap Seconds=30 + { 2450614.50, 62.637749 }, //15 June 1997, UT1-UTC=-0.4537489, Accumulated Leap Seconds=30 + { 2450615.50, 62.639279 }, //16 June 1997, UT1-UTC=-0.4552787, Accumulated Leap Seconds=30 + { 2450616.50, 62.640727 }, //17 June 1997, UT1-UTC=-0.4567268, Accumulated Leap Seconds=30 + { 2450617.50, 62.642072 }, //18 June 1997, UT1-UTC=-0.4580718, Accumulated Leap Seconds=30 + { 2450618.50, 62.643271 }, //19 June 1997, UT1-UTC=-0.4592707, Accumulated Leap Seconds=30 + { 2450619.50, 62.644335 }, //20 June 1997, UT1-UTC=-0.4603355, Accumulated Leap Seconds=30 + { 2450620.50, 62.645324 }, //21 June 1997, UT1-UTC=-0.4613241, Accumulated Leap Seconds=30 + { 2450621.50, 62.646302 }, //22 June 1997, UT1-UTC=-0.4623024, Accumulated Leap Seconds=30 + { 2450622.50, 62.647340 }, //23 June 1997, UT1-UTC=-0.4633401, Accumulated Leap Seconds=30 + { 2450623.50, 62.648481 }, //24 June 1997, UT1-UTC=-0.4644808, Accumulated Leap Seconds=30 + { 2450624.50, 62.649732 }, //25 June 1997, UT1-UTC=-0.4657320, Accumulated Leap Seconds=30 + { 2450625.50, 62.651069 }, //26 June 1997, UT1-UTC=-0.4670695, Accumulated Leap Seconds=30 + { 2450626.50, 62.652444 }, //27 June 1997, UT1-UTC=-0.4684438, Accumulated Leap Seconds=30 + { 2450627.50, 62.653783 }, //28 June 1997, UT1-UTC=-0.4697828, Accumulated Leap Seconds=30 + { 2450628.50, 62.655024 }, //29 June 1997, UT1-UTC=-0.4710244, Accumulated Leap Seconds=30 + { 2450629.50, 62.656129 }, //30 June 1997, UT1-UTC=-0.4721291, Accumulated Leap Seconds=30 + { 2450630.50, 62.657074 }, //01 July 1997, UT1-UTC= 0.5269261, Accumulated Leap Seconds=31 + { 2450631.50, 62.657858 }, //02 July 1997, UT1-UTC= 0.5261415, Accumulated Leap Seconds=31 + { 2450632.50, 62.658499 }, //03 July 1997, UT1-UTC= 0.5255008, Accumulated Leap Seconds=31 + { 2450633.50, 62.659044 }, //04 July 1997, UT1-UTC= 0.5249556, Accumulated Leap Seconds=31 + { 2450634.50, 62.659562 }, //05 July 1997, UT1-UTC= 0.5244381, Accumulated Leap Seconds=31 + { 2450635.50, 62.660114 }, //06 July 1997, UT1-UTC= 0.5238855, Accumulated Leap Seconds=31 + { 2450636.50, 62.660748 }, //07 July 1997, UT1-UTC= 0.5232517, Accumulated Leap Seconds=31 + { 2450637.50, 62.661480 }, //08 July 1997, UT1-UTC= 0.5225198, Accumulated Leap Seconds=31 + { 2450638.50, 62.662305 }, //09 July 1997, UT1-UTC= 0.5216947, Accumulated Leap Seconds=31 + { 2450639.50, 62.663210 }, //10 July 1997, UT1-UTC= 0.5207898, Accumulated Leap Seconds=31 + { 2450640.50, 62.664188 }, //11 July 1997, UT1-UTC= 0.5198116, Accumulated Leap Seconds=31 + { 2450641.50, 62.665227 }, //12 July 1997, UT1-UTC= 0.5187733, Accumulated Leap Seconds=31 + { 2450642.50, 62.666316 }, //13 July 1997, UT1-UTC= 0.5176843, Accumulated Leap Seconds=31 + { 2450643.50, 62.667432 }, //14 July 1997, UT1-UTC= 0.5165684, Accumulated Leap Seconds=31 + { 2450644.50, 62.668541 }, //15 July 1997, UT1-UTC= 0.5154588, Accumulated Leap Seconds=31 + { 2450645.50, 62.669606 }, //16 July 1997, UT1-UTC= 0.5143944, Accumulated Leap Seconds=31 + { 2450646.50, 62.670637 }, //17 July 1997, UT1-UTC= 0.5133634, Accumulated Leap Seconds=31 + { 2450647.50, 62.671701 }, //18 July 1997, UT1-UTC= 0.5122995, Accumulated Leap Seconds=31 + { 2450648.50, 62.672862 }, //19 July 1997, UT1-UTC= 0.5111376, Accumulated Leap Seconds=31 + { 2450649.50, 62.674170 }, //20 July 1997, UT1-UTC= 0.5098301, Accumulated Leap Seconds=31 + { 2450650.50, 62.675666 }, //21 July 1997, UT1-UTC= 0.5083338, Accumulated Leap Seconds=31 + { 2450651.50, 62.677359 }, //22 July 1997, UT1-UTC= 0.5066406, Accumulated Leap Seconds=31 + { 2450652.50, 62.679217 }, //23 July 1997, UT1-UTC= 0.5047831, Accumulated Leap Seconds=31 + { 2450653.50, 62.681183 }, //24 July 1997, UT1-UTC= 0.5028170, Accumulated Leap Seconds=31 + { 2450654.50, 62.683207 }, //25 July 1997, UT1-UTC= 0.5007926, Accumulated Leap Seconds=31 + { 2450655.50, 62.685181 }, //26 July 1997, UT1-UTC= 0.4988191, Accumulated Leap Seconds=31 + { 2450656.50, 62.687032 }, //27 July 1997, UT1-UTC= 0.4969678, Accumulated Leap Seconds=31 + { 2450657.50, 62.688725 }, //28 July 1997, UT1-UTC= 0.4952746, Accumulated Leap Seconds=31 + { 2450658.50, 62.690262 }, //29 July 1997, UT1-UTC= 0.4937384, Accumulated Leap Seconds=31 + { 2450659.50, 62.691658 }, //30 July 1997, UT1-UTC= 0.4923415, Accumulated Leap Seconds=31 + { 2450660.50, 62.692943 }, //31 July 1997, UT1-UTC= 0.4910565, Accumulated Leap Seconds=31 + { 2450661.50, 62.694174 }, //01 August 1997, UT1-UTC= 0.4898258, Accumulated Leap Seconds=31 + { 2450662.50, 62.695406 }, //02 August 1997, UT1-UTC= 0.4885938, Accumulated Leap Seconds=31 + { 2450663.50, 62.696662 }, //03 August 1997, UT1-UTC= 0.4873380, Accumulated Leap Seconds=31 + { 2450664.50, 62.697950 }, //04 August 1997, UT1-UTC= 0.4860495, Accumulated Leap Seconds=31 + { 2450665.50, 62.699288 }, //05 August 1997, UT1-UTC= 0.4847120, Accumulated Leap Seconds=31 + { 2450666.50, 62.700674 }, //06 August 1997, UT1-UTC= 0.4833255, Accumulated Leap Seconds=31 + { 2450667.50, 62.702102 }, //07 August 1997, UT1-UTC= 0.4818982, Accumulated Leap Seconds=31 + { 2450668.50, 62.703564 }, //08 August 1997, UT1-UTC= 0.4804359, Accumulated Leap Seconds=31 + { 2450669.50, 62.705042 }, //09 August 1997, UT1-UTC= 0.4789580, Accumulated Leap Seconds=31 + { 2450670.50, 62.706497 }, //10 August 1997, UT1-UTC= 0.4775031, Accumulated Leap Seconds=31 + { 2450671.50, 62.707893 }, //11 August 1997, UT1-UTC= 0.4761068, Accumulated Leap Seconds=31 + { 2450672.50, 62.709213 }, //12 August 1997, UT1-UTC= 0.4747865, Accumulated Leap Seconds=31 + { 2450673.50, 62.710460 }, //13 August 1997, UT1-UTC= 0.4735395, Accumulated Leap Seconds=31 + { 2450674.50, 62.711647 }, //14 August 1997, UT1-UTC= 0.4723531, Accumulated Leap Seconds=31 + { 2450675.50, 62.712808 }, //15 August 1997, UT1-UTC= 0.4711922, Accumulated Leap Seconds=31 + { 2450676.50, 62.714012 }, //16 August 1997, UT1-UTC= 0.4699884, Accumulated Leap Seconds=31 + { 2450677.50, 62.715335 }, //17 August 1997, UT1-UTC= 0.4686650, Accumulated Leap Seconds=31 + { 2450678.50, 62.716822 }, //18 August 1997, UT1-UTC= 0.4671775, Accumulated Leap Seconds=31 + { 2450679.50, 62.718476 }, //19 August 1997, UT1-UTC= 0.4655244, Accumulated Leap Seconds=31 + { 2450680.50, 62.720275 }, //20 August 1997, UT1-UTC= 0.4637249, Accumulated Leap Seconds=31 + { 2450681.50, 62.722173 }, //21 August 1997, UT1-UTC= 0.4618272, Accumulated Leap Seconds=31 + { 2450682.50, 62.724058 }, //22 August 1997, UT1-UTC= 0.4599417, Accumulated Leap Seconds=31 + { 2450683.50, 62.725836 }, //23 August 1997, UT1-UTC= 0.4581639, Accumulated Leap Seconds=31 + { 2450684.50, 62.727459 }, //24 August 1997, UT1-UTC= 0.4565411, Accumulated Leap Seconds=31 + { 2450685.50, 62.728920 }, //25 August 1997, UT1-UTC= 0.4550797, Accumulated Leap Seconds=31 + { 2450686.50, 62.730266 }, //26 August 1997, UT1-UTC= 0.4537342, Accumulated Leap Seconds=31 + { 2450687.50, 62.731565 }, //27 August 1997, UT1-UTC= 0.4524346, Accumulated Leap Seconds=31 + { 2450688.50, 62.732867 }, //28 August 1997, UT1-UTC= 0.4511327, Accumulated Leap Seconds=31 + { 2450689.50, 62.734178 }, //29 August 1997, UT1-UTC= 0.4498222, Accumulated Leap Seconds=31 + { 2450690.50, 62.735510 }, //30 August 1997, UT1-UTC= 0.4484896, Accumulated Leap Seconds=31 + { 2450691.50, 62.736885 }, //31 August 1997, UT1-UTC= 0.4471150, Accumulated Leap Seconds=31 + { 2450692.50, 62.738327 }, //01 September 1997, UT1-UTC= 0.4456729, Accumulated Leap Seconds=31 + { 2450693.50, 62.739847 }, //02 September 1997, UT1-UTC= 0.4441532, Accumulated Leap Seconds=31 + { 2450694.50, 62.741428 }, //03 September 1997, UT1-UTC= 0.4425718, Accumulated Leap Seconds=31 + { 2450695.50, 62.743043 }, //04 September 1997, UT1-UTC= 0.4409570, Accumulated Leap Seconds=31 + { 2450696.50, 62.744652 }, //05 September 1997, UT1-UTC= 0.4393482, Accumulated Leap Seconds=31 + { 2450697.50, 62.746232 }, //06 September 1997, UT1-UTC= 0.4377683, Accumulated Leap Seconds=31 + { 2450698.50, 62.747778 }, //07 September 1997, UT1-UTC= 0.4362221, Accumulated Leap Seconds=31 + { 2450699.50, 62.749287 }, //08 September 1997, UT1-UTC= 0.4347132, Accumulated Leap Seconds=31 + { 2450700.50, 62.750724 }, //09 September 1997, UT1-UTC= 0.4332759, Accumulated Leap Seconds=31 + { 2450701.50, 62.752084 }, //10 September 1997, UT1-UTC= 0.4319162, Accumulated Leap Seconds=31 + { 2450702.50, 62.753460 }, //11 September 1997, UT1-UTC= 0.4305396, Accumulated Leap Seconds=31 + { 2450703.50, 62.754920 }, //12 September 1997, UT1-UTC= 0.4290799, Accumulated Leap Seconds=31 + { 2450704.50, 62.756498 }, //13 September 1997, UT1-UTC= 0.4275021, Accumulated Leap Seconds=31 + { 2450705.50, 62.758230 }, //14 September 1997, UT1-UTC= 0.4257695, Accumulated Leap Seconds=31 + { 2450706.50, 62.760171 }, //15 September 1997, UT1-UTC= 0.4238285, Accumulated Leap Seconds=31 + { 2450707.50, 62.762338 }, //16 September 1997, UT1-UTC= 0.4216620, Accumulated Leap Seconds=31 + { 2450708.50, 62.764689 }, //17 September 1997, UT1-UTC= 0.4193113, Accumulated Leap Seconds=31 + { 2450709.50, 62.767130 }, //18 September 1997, UT1-UTC= 0.4168703, Accumulated Leap Seconds=31 + { 2450710.50, 62.769539 }, //19 September 1997, UT1-UTC= 0.4144613, Accumulated Leap Seconds=31 + { 2450711.50, 62.771810 }, //20 September 1997, UT1-UTC= 0.4121901, Accumulated Leap Seconds=31 + { 2450712.50, 62.773897 }, //21 September 1997, UT1-UTC= 0.4101030, Accumulated Leap Seconds=31 + { 2450713.50, 62.775817 }, //22 September 1997, UT1-UTC= 0.4081827, Accumulated Leap Seconds=31 + { 2450714.50, 62.777617 }, //23 September 1997, UT1-UTC= 0.4063825, Accumulated Leap Seconds=31 + { 2450715.50, 62.779355 }, //24 September 1997, UT1-UTC= 0.4046454, Accumulated Leap Seconds=31 + { 2450716.50, 62.781081 }, //25 September 1997, UT1-UTC= 0.4029194, Accumulated Leap Seconds=31 + { 2450717.50, 62.782851 }, //26 September 1997, UT1-UTC= 0.4011487, Accumulated Leap Seconds=31 + { 2450718.50, 62.784709 }, //27 September 1997, UT1-UTC= 0.3992914, Accumulated Leap Seconds=31 + { 2450719.50, 62.786638 }, //28 September 1997, UT1-UTC= 0.3973618, Accumulated Leap Seconds=31 + { 2450720.50, 62.788618 }, //29 September 1997, UT1-UTC= 0.3953822, Accumulated Leap Seconds=31 + { 2450721.50, 62.790619 }, //30 September 1997, UT1-UTC= 0.3933814, Accumulated Leap Seconds=31 + { 2450722.50, 62.792630 }, //01 October 1997, UT1-UTC= 0.3913695, Accumulated Leap Seconds=31 + { 2450723.50, 62.794689 }, //02 October 1997, UT1-UTC= 0.3893106, Accumulated Leap Seconds=31 + { 2450724.50, 62.796761 }, //03 October 1997, UT1-UTC= 0.3872390, Accumulated Leap Seconds=31 + { 2450725.50, 62.798789 }, //04 October 1997, UT1-UTC= 0.3852107, Accumulated Leap Seconds=31 + { 2450726.50, 62.800747 }, //05 October 1997, UT1-UTC= 0.3832534, Accumulated Leap Seconds=31 + { 2450727.50, 62.802633 }, //06 October 1997, UT1-UTC= 0.3813666, Accumulated Leap Seconds=31 + { 2450728.50, 62.804474 }, //07 October 1997, UT1-UTC= 0.3795260, Accumulated Leap Seconds=31 + { 2450729.50, 62.806308 }, //08 October 1997, UT1-UTC= 0.3776920, Accumulated Leap Seconds=31 + { 2450730.50, 62.808188 }, //09 October 1997, UT1-UTC= 0.3758123, Accumulated Leap Seconds=31 + { 2450731.50, 62.810154 }, //10 October 1997, UT1-UTC= 0.3738457, Accumulated Leap Seconds=31 + { 2450732.50, 62.812238 }, //11 October 1997, UT1-UTC= 0.3717615, Accumulated Leap Seconds=31 + { 2450733.50, 62.814471 }, //12 October 1997, UT1-UTC= 0.3695290, Accumulated Leap Seconds=31 + { 2450734.50, 62.816864 }, //13 October 1997, UT1-UTC= 0.3671361, Accumulated Leap Seconds=31 + { 2450735.50, 62.819386 }, //14 October 1997, UT1-UTC= 0.3646143, Accumulated Leap Seconds=31 + { 2450736.50, 62.821976 }, //15 October 1997, UT1-UTC= 0.3620244, Accumulated Leap Seconds=31 + { 2450737.50, 62.824565 }, //16 October 1997, UT1-UTC= 0.3594354, Accumulated Leap Seconds=31 + { 2450738.50, 62.827072 }, //17 October 1997, UT1-UTC= 0.3569280, Accumulated Leap Seconds=31 + { 2450739.50, 62.829425 }, //18 October 1997, UT1-UTC= 0.3545749, Accumulated Leap Seconds=31 + { 2450740.50, 62.831595 }, //19 October 1997, UT1-UTC= 0.3524048, Accumulated Leap Seconds=31 + { 2450741.50, 62.833603 }, //20 October 1997, UT1-UTC= 0.3503967, Accumulated Leap Seconds=31 + { 2450742.50, 62.835489 }, //21 October 1997, UT1-UTC= 0.3485114, Accumulated Leap Seconds=31 + { 2450743.50, 62.837293 }, //22 October 1997, UT1-UTC= 0.3467065, Accumulated Leap Seconds=31 + { 2450744.50, 62.839051 }, //23 October 1997, UT1-UTC= 0.3449494, Accumulated Leap Seconds=31 + { 2450745.50, 62.840806 }, //24 October 1997, UT1-UTC= 0.3431936, Accumulated Leap Seconds=31 + { 2450746.50, 62.842603 }, //25 October 1997, UT1-UTC= 0.3413970, Accumulated Leap Seconds=31 + { 2450747.50, 62.844459 }, //26 October 1997, UT1-UTC= 0.3395408, Accumulated Leap Seconds=31 + { 2450748.50, 62.846379 }, //27 October 1997, UT1-UTC= 0.3376205, Accumulated Leap Seconds=31 + { 2450749.50, 62.848357 }, //28 October 1997, UT1-UTC= 0.3356433, Accumulated Leap Seconds=31 + { 2450750.50, 62.850387 }, //29 October 1997, UT1-UTC= 0.3336132, Accumulated Leap Seconds=31 + { 2450751.50, 62.852460 }, //30 October 1997, UT1-UTC= 0.3315395, Accumulated Leap Seconds=31 + { 2450752.50, 62.854568 }, //31 October 1997, UT1-UTC= 0.3294321, Accumulated Leap Seconds=31 + { 2450753.50, 62.856699 }, //01 November 1997, UT1-UTC= 0.3273014, Accumulated Leap Seconds=31 + { 2450754.50, 62.858816 }, //02 November 1997, UT1-UTC= 0.3251839, Accumulated Leap Seconds=31 + { 2450755.50, 62.860893 }, //03 November 1997, UT1-UTC= 0.3231068, Accumulated Leap Seconds=31 + { 2450756.50, 62.862932 }, //04 November 1997, UT1-UTC= 0.3210681, Accumulated Leap Seconds=31 + { 2450757.50, 62.864973 }, //05 November 1997, UT1-UTC= 0.3190272, Accumulated Leap Seconds=31 + { 2450758.50, 62.867102 }, //06 November 1997, UT1-UTC= 0.3168982, Accumulated Leap Seconds=31 + { 2450759.50, 62.869344 }, //07 November 1997, UT1-UTC= 0.3146564, Accumulated Leap Seconds=31 + { 2450760.50, 62.871695 }, //08 November 1997, UT1-UTC= 0.3123050, Accumulated Leap Seconds=31 + { 2450761.50, 62.874168 }, //09 November 1997, UT1-UTC= 0.3098320, Accumulated Leap Seconds=31 + { 2450762.50, 62.876774 }, //10 November 1997, UT1-UTC= 0.3072260, Accumulated Leap Seconds=31 + { 2450763.50, 62.879454 }, //11 November 1997, UT1-UTC= 0.3045463, Accumulated Leap Seconds=31 + { 2450764.50, 62.882115 }, //12 November 1997, UT1-UTC= 0.3018847, Accumulated Leap Seconds=31 + { 2450765.50, 62.884663 }, //13 November 1997, UT1-UTC= 0.2993371, Accumulated Leap Seconds=31 + { 2450766.50, 62.887000 }, //14 November 1997, UT1-UTC= 0.2970003, Accumulated Leap Seconds=31 + { 2450767.50, 62.889077 }, //15 November 1997, UT1-UTC= 0.2949232, Accumulated Leap Seconds=31 + { 2450768.50, 62.890927 }, //16 November 1997, UT1-UTC= 0.2930731, Accumulated Leap Seconds=31 + { 2450769.50, 62.892618 }, //17 November 1997, UT1-UTC= 0.2913821, Accumulated Leap Seconds=31 + { 2450770.50, 62.894214 }, //18 November 1997, UT1-UTC= 0.2897863, Accumulated Leap Seconds=31 + { 2450771.50, 62.895779 }, //19 November 1997, UT1-UTC= 0.2882205, Accumulated Leap Seconds=31 + { 2450772.50, 62.897368 }, //20 November 1997, UT1-UTC= 0.2866322, Accumulated Leap Seconds=31 + { 2450773.50, 62.898973 }, //21 November 1997, UT1-UTC= 0.2850269, Accumulated Leap Seconds=31 + { 2450774.50, 62.900580 }, //22 November 1997, UT1-UTC= 0.2834204, Accumulated Leap Seconds=31 + { 2450775.50, 62.902200 }, //23 November 1997, UT1-UTC= 0.2818001, Accumulated Leap Seconds=31 + { 2450776.50, 62.903839 }, //24 November 1997, UT1-UTC= 0.2801608, Accumulated Leap Seconds=31 + { 2450777.50, 62.905488 }, //25 November 1997, UT1-UTC= 0.2785119, Accumulated Leap Seconds=31 + { 2450778.50, 62.907126 }, //26 November 1997, UT1-UTC= 0.2768741, Accumulated Leap Seconds=31 + { 2450779.50, 62.908724 }, //27 November 1997, UT1-UTC= 0.2752764, Accumulated Leap Seconds=31 + { 2450780.50, 62.910265 }, //28 November 1997, UT1-UTC= 0.2737345, Accumulated Leap Seconds=31 + { 2450781.50, 62.911745 }, //29 November 1997, UT1-UTC= 0.2722546, Accumulated Leap Seconds=31 + { 2450782.50, 62.913170 }, //30 November 1997, UT1-UTC= 0.2708301, Accumulated Leap Seconds=31 + { 2450783.50, 62.914561 }, //01 December 1997, UT1-UTC= 0.2694393, Accumulated Leap Seconds=31 + { 2450784.50, 62.915945 }, //02 December 1997, UT1-UTC= 0.2680547, Accumulated Leap Seconds=31 + { 2450785.50, 62.917354 }, //03 December 1997, UT1-UTC= 0.2666459, Accumulated Leap Seconds=31 + { 2450786.50, 62.918813 }, //04 December 1997, UT1-UTC= 0.2651873, Accumulated Leap Seconds=31 + { 2450787.50, 62.920377 }, //05 December 1997, UT1-UTC= 0.2636229, Accumulated Leap Seconds=31 + { 2450788.50, 62.922105 }, //06 December 1997, UT1-UTC= 0.2618948, Accumulated Leap Seconds=31 + { 2450789.50, 62.924046 }, //07 December 1997, UT1-UTC= 0.2599537, Accumulated Leap Seconds=31 + { 2450790.50, 62.926196 }, //08 December 1997, UT1-UTC= 0.2578036, Accumulated Leap Seconds=31 + { 2450791.50, 62.928463 }, //09 December 1997, UT1-UTC= 0.2555369, Accumulated Leap Seconds=31 + { 2450792.50, 62.930735 }, //10 December 1997, UT1-UTC= 0.2532653, Accumulated Leap Seconds=31 + { 2450793.50, 62.932916 }, //11 December 1997, UT1-UTC= 0.2510836, Accumulated Leap Seconds=31 + { 2450794.50, 62.934964 }, //12 December 1997, UT1-UTC= 0.2490356, Accumulated Leap Seconds=31 + { 2450795.50, 62.936847 }, //13 December 1997, UT1-UTC= 0.2471526, Accumulated Leap Seconds=31 + { 2450796.50, 62.938558 }, //14 December 1997, UT1-UTC= 0.2454420, Accumulated Leap Seconds=31 + { 2450797.50, 62.940135 }, //15 December 1997, UT1-UTC= 0.2438651, Accumulated Leap Seconds=31 + { 2450798.50, 62.941641 }, //16 December 1997, UT1-UTC= 0.2423586, Accumulated Leap Seconds=31 + { 2450799.50, 62.943120 }, //17 December 1997, UT1-UTC= 0.2408796, Accumulated Leap Seconds=31 + { 2450800.50, 62.944609 }, //18 December 1997, UT1-UTC= 0.2393906, Accumulated Leap Seconds=31 + { 2450801.50, 62.946130 }, //19 December 1997, UT1-UTC= 0.2378700, Accumulated Leap Seconds=31 + { 2450802.50, 62.947708 }, //20 December 1997, UT1-UTC= 0.2362915, Accumulated Leap Seconds=31 + { 2450803.50, 62.949349 }, //21 December 1997, UT1-UTC= 0.2346512, Accumulated Leap Seconds=31 + { 2450804.50, 62.951032 }, //22 December 1997, UT1-UTC= 0.2329681, Accumulated Leap Seconds=31 + { 2450805.50, 62.952746 }, //23 December 1997, UT1-UTC= 0.2312540, Accumulated Leap Seconds=31 + { 2450806.50, 62.954451 }, //24 December 1997, UT1-UTC= 0.2295493, Accumulated Leap Seconds=31 + { 2450807.50, 62.956101 }, //25 December 1997, UT1-UTC= 0.2278985, Accumulated Leap Seconds=31 + { 2450808.50, 62.957672 }, //26 December 1997, UT1-UTC= 0.2263280, Accumulated Leap Seconds=31 + { 2450809.50, 62.959144 }, //27 December 1997, UT1-UTC= 0.2248562, Accumulated Leap Seconds=31 + { 2450810.50, 62.960516 }, //28 December 1997, UT1-UTC= 0.2234837, Accumulated Leap Seconds=31 + { 2450811.50, 62.961816 }, //29 December 1997, UT1-UTC= 0.2221838, Accumulated Leap Seconds=31 + { 2450812.50, 62.963104 }, //30 December 1997, UT1-UTC= 0.2208956, Accumulated Leap Seconds=31 + { 2450813.50, 62.964439 }, //31 December 1997, UT1-UTC= 0.2195610, Accumulated Leap Seconds=31 + { 2450814.50, 62.965869 }, //01 January 1998, UT1-UTC= 0.2181311, Accumulated Leap Seconds=31 + { 2450815.50, 62.967448 }, //02 January 1998, UT1-UTC= 0.2165517, Accumulated Leap Seconds=31 + { 2450816.50, 62.969208 }, //03 January 1998, UT1-UTC= 0.2147923, Accumulated Leap Seconds=31 + { 2450817.50, 62.971143 }, //04 January 1998, UT1-UTC= 0.2128567, Accumulated Leap Seconds=31 + { 2450818.50, 62.973206 }, //05 January 1998, UT1-UTC= 0.2107935, Accumulated Leap Seconds=31 + { 2450819.50, 62.975280 }, //06 January 1998, UT1-UTC= 0.2087199, Accumulated Leap Seconds=31 + { 2450820.50, 62.977261 }, //07 January 1998, UT1-UTC= 0.2067387, Accumulated Leap Seconds=31 + { 2450821.50, 62.979107 }, //08 January 1998, UT1-UTC= 0.2048928, Accumulated Leap Seconds=31 + { 2450822.50, 62.980788 }, //09 January 1998, UT1-UTC= 0.2032115, Accumulated Leap Seconds=31 + { 2450823.50, 62.982306 }, //10 January 1998, UT1-UTC= 0.2016942, Accumulated Leap Seconds=31 + { 2450824.50, 62.983721 }, //11 January 1998, UT1-UTC= 0.2002789, Accumulated Leap Seconds=31 + { 2450825.50, 62.985114 }, //12 January 1998, UT1-UTC= 0.1988863, Accumulated Leap Seconds=31 + { 2450826.50, 62.986538 }, //13 January 1998, UT1-UTC= 0.1974619, Accumulated Leap Seconds=31 + { 2450827.50, 62.988045 }, //14 January 1998, UT1-UTC= 0.1959551, Accumulated Leap Seconds=31 + { 2450828.50, 62.989641 }, //15 January 1998, UT1-UTC= 0.1943587, Accumulated Leap Seconds=31 + { 2450829.50, 62.991296 }, //16 January 1998, UT1-UTC= 0.1927044, Accumulated Leap Seconds=31 + { 2450830.50, 62.992983 }, //17 January 1998, UT1-UTC= 0.1910170, Accumulated Leap Seconds=31 + { 2450831.50, 62.994701 }, //18 January 1998, UT1-UTC= 0.1892995, Accumulated Leap Seconds=31 + { 2450832.50, 62.996448 }, //19 January 1998, UT1-UTC= 0.1875517, Accumulated Leap Seconds=31 + { 2450833.50, 62.998206 }, //20 January 1998, UT1-UTC= 0.1857944, Accumulated Leap Seconds=31 + { 2450834.50, 62.999947 }, //21 January 1998, UT1-UTC= 0.1840535, Accumulated Leap Seconds=31 + { 2450835.50, 63.001667 }, //22 January 1998, UT1-UTC= 0.1823334, Accumulated Leap Seconds=31 + { 2450836.50, 63.003368 }, //23 January 1998, UT1-UTC= 0.1806316, Accumulated Leap Seconds=31 + { 2450837.50, 63.005064 }, //24 January 1998, UT1-UTC= 0.1789359, Accumulated Leap Seconds=31 + { 2450838.50, 63.006763 }, //25 January 1998, UT1-UTC= 0.1772365, Accumulated Leap Seconds=31 + { 2450839.50, 63.008469 }, //26 January 1998, UT1-UTC= 0.1755314, Accumulated Leap Seconds=31 + { 2450840.50, 63.010233 }, //27 January 1998, UT1-UTC= 0.1737675, Accumulated Leap Seconds=31 + { 2450841.50, 63.012143 }, //28 January 1998, UT1-UTC= 0.1718573, Accumulated Leap Seconds=31 + { 2450842.50, 63.014274 }, //29 January 1998, UT1-UTC= 0.1697264, Accumulated Leap Seconds=31 + { 2450843.50, 63.016619 }, //30 January 1998, UT1-UTC= 0.1673805, Accumulated Leap Seconds=31 + { 2450844.50, 63.019115 }, //31 January 1998, UT1-UTC= 0.1648847, Accumulated Leap Seconds=31 + { 2450845.50, 63.021663 }, //01 February 1998, UT1-UTC= 0.1623368, Accumulated Leap Seconds=31 + { 2450846.50, 63.024214 }, //02 February 1998, UT1-UTC= 0.1597864, Accumulated Leap Seconds=31 + { 2450847.50, 63.026723 }, //03 February 1998, UT1-UTC= 0.1572768, Accumulated Leap Seconds=31 + { 2450848.50, 63.029162 }, //04 February 1998, UT1-UTC= 0.1548382, Accumulated Leap Seconds=31 + { 2450849.50, 63.031528 }, //05 February 1998, UT1-UTC= 0.1524722, Accumulated Leap Seconds=31 + { 2450850.50, 63.033789 }, //06 February 1998, UT1-UTC= 0.1502108, Accumulated Leap Seconds=31 + { 2450851.50, 63.035929 }, //07 February 1998, UT1-UTC= 0.1480705, Accumulated Leap Seconds=31 + { 2450852.50, 63.037999 }, //08 February 1998, UT1-UTC= 0.1460010, Accumulated Leap Seconds=31 + { 2450853.50, 63.040036 }, //09 February 1998, UT1-UTC= 0.1439637, Accumulated Leap Seconds=31 + { 2450854.50, 63.042018 }, //10 February 1998, UT1-UTC= 0.1419822, Accumulated Leap Seconds=31 + { 2450855.50, 63.043944 }, //11 February 1998, UT1-UTC= 0.1400562, Accumulated Leap Seconds=31 + { 2450856.50, 63.045880 }, //12 February 1998, UT1-UTC= 0.1381201, Accumulated Leap Seconds=31 + { 2450857.50, 63.047847 }, //13 February 1998, UT1-UTC= 0.1361528, Accumulated Leap Seconds=31 + { 2450858.50, 63.049838 }, //14 February 1998, UT1-UTC= 0.1341616, Accumulated Leap Seconds=31 + { 2450859.50, 63.051835 }, //15 February 1998, UT1-UTC= 0.1321653, Accumulated Leap Seconds=31 + { 2450860.50, 63.053821 }, //16 February 1998, UT1-UTC= 0.1301790, Accumulated Leap Seconds=31 + { 2450861.50, 63.055783 }, //17 February 1998, UT1-UTC= 0.1282172, Accumulated Leap Seconds=31 + { 2450862.50, 63.057688 }, //18 February 1998, UT1-UTC= 0.1263122, Accumulated Leap Seconds=31 + { 2450863.50, 63.059499 }, //19 February 1998, UT1-UTC= 0.1245008, Accumulated Leap Seconds=31 + { 2450864.50, 63.061271 }, //20 February 1998, UT1-UTC= 0.1227290, Accumulated Leap Seconds=31 + { 2450865.50, 63.063061 }, //21 February 1998, UT1-UTC= 0.1209391, Accumulated Leap Seconds=31 + { 2450866.50, 63.064872 }, //22 February 1998, UT1-UTC= 0.1191277, Accumulated Leap Seconds=31 + { 2450867.50, 63.066735 }, //23 February 1998, UT1-UTC= 0.1172648, Accumulated Leap Seconds=31 + { 2450868.50, 63.068702 }, //24 February 1998, UT1-UTC= 0.1152984, Accumulated Leap Seconds=31 + { 2450869.50, 63.070819 }, //25 February 1998, UT1-UTC= 0.1131814, Accumulated Leap Seconds=31 + { 2450870.50, 63.073098 }, //26 February 1998, UT1-UTC= 0.1109021, Accumulated Leap Seconds=31 + { 2450871.50, 63.075519 }, //27 February 1998, UT1-UTC= 0.1084813, Accumulated Leap Seconds=31 + { 2450872.50, 63.078065 }, //28 February 1998, UT1-UTC= 0.1059353, Accumulated Leap Seconds=31 + { 2450873.50, 63.080705 }, //01 March 1998, UT1-UTC= 0.1032948, Accumulated Leap Seconds=31 + { 2450874.50, 63.083337 }, //02 March 1998, UT1-UTC= 0.1006629, Accumulated Leap Seconds=31 + { 2450875.50, 63.085857 }, //03 March 1998, UT1-UTC= 0.0981429, Accumulated Leap Seconds=31 + { 2450876.50, 63.088201 }, //04 March 1998, UT1-UTC= 0.0957989, Accumulated Leap Seconds=31 + { 2450877.50, 63.090375 }, //05 March 1998, UT1-UTC= 0.0936253, Accumulated Leap Seconds=31 + { 2450878.50, 63.092412 }, //06 March 1998, UT1-UTC= 0.0915884, Accumulated Leap Seconds=31 + { 2450879.50, 63.094347 }, //07 March 1998, UT1-UTC= 0.0896525, Accumulated Leap Seconds=31 + { 2450880.50, 63.096217 }, //08 March 1998, UT1-UTC= 0.0877829, Accumulated Leap Seconds=31 + { 2450881.50, 63.098058 }, //09 March 1998, UT1-UTC= 0.0859420, Accumulated Leap Seconds=31 + { 2450882.50, 63.099917 }, //10 March 1998, UT1-UTC= 0.0840831, Accumulated Leap Seconds=31 + { 2450883.50, 63.101850 }, //11 March 1998, UT1-UTC= 0.0821495, Accumulated Leap Seconds=31 + { 2450884.50, 63.103905 }, //12 March 1998, UT1-UTC= 0.0800953, Accumulated Leap Seconds=31 + { 2450885.50, 63.106013 }, //13 March 1998, UT1-UTC= 0.0779874, Accumulated Leap Seconds=31 + { 2450886.50, 63.108137 }, //14 March 1998, UT1-UTC= 0.0758629, Accumulated Leap Seconds=31 + { 2450887.50, 63.110254 }, //15 March 1998, UT1-UTC= 0.0737455, Accumulated Leap Seconds=31 + { 2450888.50, 63.112335 }, //16 March 1998, UT1-UTC= 0.0716654, Accumulated Leap Seconds=31 + { 2450889.50, 63.114357 }, //17 March 1998, UT1-UTC= 0.0696432, Accumulated Leap Seconds=31 + { 2450890.50, 63.116301 }, //18 March 1998, UT1-UTC= 0.0676988, Accumulated Leap Seconds=31 + { 2450891.50, 63.118159 }, //19 March 1998, UT1-UTC= 0.0658410, Accumulated Leap Seconds=31 + { 2450892.50, 63.119946 }, //20 March 1998, UT1-UTC= 0.0640541, Accumulated Leap Seconds=31 + { 2450893.50, 63.121694 }, //21 March 1998, UT1-UTC= 0.0623061, Accumulated Leap Seconds=31 + { 2450894.50, 63.123447 }, //22 March 1998, UT1-UTC= 0.0605529, Accumulated Leap Seconds=31 + { 2450895.50, 63.125254 }, //23 March 1998, UT1-UTC= 0.0587462, Accumulated Leap Seconds=31 + { 2450896.50, 63.127164 }, //24 March 1998, UT1-UTC= 0.0568356, Accumulated Leap Seconds=31 + { 2450897.50, 63.129236 }, //25 March 1998, UT1-UTC= 0.0547640, Accumulated Leap Seconds=31 + { 2450898.50, 63.131544 }, //26 March 1998, UT1-UTC= 0.0524558, Accumulated Leap Seconds=31 + { 2450899.50, 63.134054 }, //27 March 1998, UT1-UTC= 0.0499457, Accumulated Leap Seconds=31 + { 2450900.50, 63.136646 }, //28 March 1998, UT1-UTC= 0.0473542, Accumulated Leap Seconds=31 + { 2450901.50, 63.139217 }, //29 March 1998, UT1-UTC= 0.0447827, Accumulated Leap Seconds=31 + { 2450902.50, 63.141704 }, //30 March 1998, UT1-UTC= 0.0422962, Accumulated Leap Seconds=31 + { 2450903.50, 63.144031 }, //31 March 1998, UT1-UTC= 0.0399693, Accumulated Leap Seconds=31 + { 2450904.50, 63.146172 }, //01 April 1998, UT1-UTC= 0.0378282, Accumulated Leap Seconds=31 + { 2450905.50, 63.148160 }, //02 April 1998, UT1-UTC= 0.0358396, Accumulated Leap Seconds=31 + { 2450906.50, 63.150038 }, //03 April 1998, UT1-UTC= 0.0339623, Accumulated Leap Seconds=31 + { 2450907.50, 63.151856 }, //04 April 1998, UT1-UTC= 0.0321444, Accumulated Leap Seconds=31 + { 2450908.50, 63.153666 }, //05 April 1998, UT1-UTC= 0.0303344, Accumulated Leap Seconds=31 + { 2450909.50, 63.155501 }, //06 April 1998, UT1-UTC= 0.0284990, Accumulated Leap Seconds=31 + { 2450910.50, 63.157378 }, //07 April 1998, UT1-UTC= 0.0266224, Accumulated Leap Seconds=31 + { 2450911.50, 63.159302 }, //08 April 1998, UT1-UTC= 0.0246978, Accumulated Leap Seconds=31 + { 2450912.50, 63.161266 }, //09 April 1998, UT1-UTC= 0.0227341, Accumulated Leap Seconds=31 + { 2450913.50, 63.163215 }, //10 April 1998, UT1-UTC= 0.0207847, Accumulated Leap Seconds=31 + { 2450914.50, 63.165153 }, //11 April 1998, UT1-UTC= 0.0188465, Accumulated Leap Seconds=31 + { 2450915.50, 63.167105 }, //12 April 1998, UT1-UTC= 0.0168945, Accumulated Leap Seconds=31 + { 2450916.50, 63.169052 }, //13 April 1998, UT1-UTC= 0.0149480, Accumulated Leap Seconds=31 + { 2450917.50, 63.170940 }, //14 April 1998, UT1-UTC= 0.0130601, Accumulated Leap Seconds=31 + { 2450918.50, 63.172742 }, //15 April 1998, UT1-UTC= 0.0112583, Accumulated Leap Seconds=31 + { 2450919.50, 63.174478 }, //16 April 1998, UT1-UTC= 0.0095222, Accumulated Leap Seconds=31 + { 2450920.50, 63.176146 }, //17 April 1998, UT1-UTC= 0.0078539, Accumulated Leap Seconds=31 + { 2450921.50, 63.177803 }, //18 April 1998, UT1-UTC= 0.0061968, Accumulated Leap Seconds=31 + { 2450922.50, 63.179500 }, //19 April 1998, UT1-UTC= 0.0044997, Accumulated Leap Seconds=31 + { 2450923.50, 63.181284 }, //20 April 1998, UT1-UTC= 0.0027157, Accumulated Leap Seconds=31 + { 2450924.50, 63.183204 }, //21 April 1998, UT1-UTC= 0.0007964, Accumulated Leap Seconds=31 + { 2450925.50, 63.185299 }, //22 April 1998, UT1-UTC=-0.0012989, Accumulated Leap Seconds=31 + { 2450926.50, 63.187579 }, //23 April 1998, UT1-UTC=-0.0035787, Accumulated Leap Seconds=31 + { 2450927.50, 63.190035 }, //24 April 1998, UT1-UTC=-0.0060350, Accumulated Leap Seconds=31 + { 2450928.50, 63.192599 }, //25 April 1998, UT1-UTC=-0.0085988, Accumulated Leap Seconds=31 + { 2450929.50, 63.195134 }, //26 April 1998, UT1-UTC=-0.0111338, Accumulated Leap Seconds=31 + { 2450930.50, 63.197517 }, //27 April 1998, UT1-UTC=-0.0135172, Accumulated Leap Seconds=31 + { 2450931.50, 63.199692 }, //28 April 1998, UT1-UTC=-0.0156916, Accumulated Leap Seconds=31 + { 2450932.50, 63.201666 }, //29 April 1998, UT1-UTC=-0.0176657, Accumulated Leap Seconds=31 + { 2450933.50, 63.203506 }, //30 April 1998, UT1-UTC=-0.0195062, Accumulated Leap Seconds=31 + { 2450934.50, 63.205295 }, //01 May 1998, UT1-UTC=-0.0212946, Accumulated Leap Seconds=31 + { 2450935.50, 63.207076 }, //02 May 1998, UT1-UTC=-0.0230758, Accumulated Leap Seconds=31 + { 2450936.50, 63.208858 }, //03 May 1998, UT1-UTC=-0.0248584, Accumulated Leap Seconds=31 + { 2450937.50, 63.210639 }, //04 May 1998, UT1-UTC=-0.0266392, Accumulated Leap Seconds=31 + { 2450938.50, 63.212418 }, //05 May 1998, UT1-UTC=-0.0284175, Accumulated Leap Seconds=31 + { 2450939.50, 63.214209 }, //06 May 1998, UT1-UTC=-0.0302087, Accumulated Leap Seconds=31 + { 2450940.50, 63.216052 }, //07 May 1998, UT1-UTC=-0.0320523, Accumulated Leap Seconds=31 + { 2450941.50, 63.217900 }, //08 May 1998, UT1-UTC=-0.0339004, Accumulated Leap Seconds=31 + { 2450942.50, 63.219714 }, //09 May 1998, UT1-UTC=-0.0357143, Accumulated Leap Seconds=31 + { 2450943.50, 63.221491 }, //10 May 1998, UT1-UTC=-0.0374909, Accumulated Leap Seconds=31 + { 2450944.50, 63.223206 }, //11 May 1998, UT1-UTC=-0.0392064, Accumulated Leap Seconds=31 + { 2450945.50, 63.224836 }, //12 May 1998, UT1-UTC=-0.0408359, Accumulated Leap Seconds=31 + { 2450946.50, 63.226369 }, //13 May 1998, UT1-UTC=-0.0423686, Accumulated Leap Seconds=31 + { 2450947.50, 63.227816 }, //14 May 1998, UT1-UTC=-0.0438156, Accumulated Leap Seconds=31 + { 2450948.50, 63.229222 }, //15 May 1998, UT1-UTC=-0.0452223, Accumulated Leap Seconds=31 + { 2450949.50, 63.230662 }, //16 May 1998, UT1-UTC=-0.0466623, Accumulated Leap Seconds=31 + { 2450950.50, 63.232212 }, //17 May 1998, UT1-UTC=-0.0482125, Accumulated Leap Seconds=31 + { 2450951.50, 63.233927 }, //18 May 1998, UT1-UTC=-0.0499273, Accumulated Leap Seconds=31 + { 2450952.50, 63.235838 }, //19 May 1998, UT1-UTC=-0.0518377, Accumulated Leap Seconds=31 + { 2450953.50, 63.237944 }, //20 May 1998, UT1-UTC=-0.0539439, Accumulated Leap Seconds=31 + { 2450954.50, 63.240206 }, //21 May 1998, UT1-UTC=-0.0562065, Accumulated Leap Seconds=31 + { 2450955.50, 63.242553 }, //22 May 1998, UT1-UTC=-0.0585527, Accumulated Leap Seconds=31 + { 2450956.50, 63.244945 }, //23 May 1998, UT1-UTC=-0.0609448, Accumulated Leap Seconds=31 + { 2450957.50, 63.247271 }, //24 May 1998, UT1-UTC=-0.0632712, Accumulated Leap Seconds=31 + { 2450958.50, 63.249424 }, //25 May 1998, UT1-UTC=-0.0654240, Accumulated Leap Seconds=31 + { 2450959.50, 63.251357 }, //26 May 1998, UT1-UTC=-0.0673566, Accumulated Leap Seconds=31 + { 2450960.50, 63.253071 }, //27 May 1998, UT1-UTC=-0.0690710, Accumulated Leap Seconds=31 + { 2450961.50, 63.254592 }, //28 May 1998, UT1-UTC=-0.0705917, Accumulated Leap Seconds=31 + { 2450962.50, 63.255976 }, //29 May 1998, UT1-UTC=-0.0719757, Accumulated Leap Seconds=31 + { 2450963.50, 63.257297 }, //30 May 1998, UT1-UTC=-0.0732972, Accumulated Leap Seconds=31 + { 2450964.50, 63.258613 }, //31 May 1998, UT1-UTC=-0.0746130, Accumulated Leap Seconds=31 + { 2450965.50, 63.259944 }, //01 June 1998, UT1-UTC=-0.0759441, Accumulated Leap Seconds=31 + { 2450966.50, 63.261271 }, //02 June 1998, UT1-UTC=-0.0772710, Accumulated Leap Seconds=31 + { 2450967.50, 63.262582 }, //03 June 1998, UT1-UTC=-0.0785817, Accumulated Leap Seconds=31 + { 2450968.50, 63.263878 }, //04 June 1998, UT1-UTC=-0.0798776, Accumulated Leap Seconds=31 + { 2450969.50, 63.265145 }, //05 June 1998, UT1-UTC=-0.0811453, Accumulated Leap Seconds=31 + { 2450970.50, 63.266356 }, //06 June 1998, UT1-UTC=-0.0823558, Accumulated Leap Seconds=31 + { 2450971.50, 63.267458 }, //07 June 1998, UT1-UTC=-0.0834578, Accumulated Leap Seconds=31 + { 2450972.50, 63.268432 }, //08 June 1998, UT1-UTC=-0.0844325, Accumulated Leap Seconds=31 + { 2450973.50, 63.269284 }, //09 June 1998, UT1-UTC=-0.0852839, Accumulated Leap Seconds=31 + { 2450974.50, 63.270032 }, //10 June 1998, UT1-UTC=-0.0860324, Accumulated Leap Seconds=31 + { 2450975.50, 63.270726 }, //11 June 1998, UT1-UTC=-0.0867264, Accumulated Leap Seconds=31 + { 2450976.50, 63.271406 }, //12 June 1998, UT1-UTC=-0.0874057, Accumulated Leap Seconds=31 + { 2450977.50, 63.272102 }, //13 June 1998, UT1-UTC=-0.0881018, Accumulated Leap Seconds=31 + { 2450978.50, 63.272861 }, //14 June 1998, UT1-UTC=-0.0888606, Accumulated Leap Seconds=31 + { 2450979.50, 63.273719 }, //15 June 1998, UT1-UTC=-0.0897194, Accumulated Leap Seconds=31 + { 2450980.50, 63.274653 }, //16 June 1998, UT1-UTC=-0.0906527, Accumulated Leap Seconds=31 + { 2450981.50, 63.275635 }, //17 June 1998, UT1-UTC=-0.0916352, Accumulated Leap Seconds=31 + { 2450982.50, 63.276642 }, //18 June 1998, UT1-UTC=-0.0926416, Accumulated Leap Seconds=31 + { 2450983.50, 63.277617 }, //19 June 1998, UT1-UTC=-0.0936165, Accumulated Leap Seconds=31 + { 2450984.50, 63.278541 }, //20 June 1998, UT1-UTC=-0.0945414, Accumulated Leap Seconds=31 + { 2450985.50, 63.279373 }, //21 June 1998, UT1-UTC=-0.0953728, Accumulated Leap Seconds=31 + { 2450986.50, 63.280063 }, //22 June 1998, UT1-UTC=-0.0960629, Accumulated Leap Seconds=31 + { 2450987.50, 63.280596 }, //23 June 1998, UT1-UTC=-0.0965964, Accumulated Leap Seconds=31 + { 2450988.50, 63.281014 }, //24 June 1998, UT1-UTC=-0.0970144, Accumulated Leap Seconds=31 + { 2450989.50, 63.281399 }, //25 June 1998, UT1-UTC=-0.0973995, Accumulated Leap Seconds=31 + { 2450990.50, 63.281792 }, //26 June 1998, UT1-UTC=-0.0977920, Accumulated Leap Seconds=31 + { 2450991.50, 63.282219 }, //27 June 1998, UT1-UTC=-0.0982186, Accumulated Leap Seconds=31 + { 2450992.50, 63.282686 }, //28 June 1998, UT1-UTC=-0.0986858, Accumulated Leap Seconds=31 + { 2450993.50, 63.283206 }, //29 June 1998, UT1-UTC=-0.0992064, Accumulated Leap Seconds=31 + { 2450994.50, 63.283787 }, //30 June 1998, UT1-UTC=-0.0997867, Accumulated Leap Seconds=31 + { 2450995.50, 63.284409 }, //01 July 1998, UT1-UTC=-0.1004088, Accumulated Leap Seconds=31 + { 2450996.50, 63.285033 }, //02 July 1998, UT1-UTC=-0.1010330, Accumulated Leap Seconds=31 + { 2450997.50, 63.285598 }, //03 July 1998, UT1-UTC=-0.1015981, Accumulated Leap Seconds=31 + { 2450998.50, 63.286067 }, //04 July 1998, UT1-UTC=-0.1020668, Accumulated Leap Seconds=31 + { 2450999.50, 63.286440 }, //05 July 1998, UT1-UTC=-0.1024404, Accumulated Leap Seconds=31 + { 2451000.50, 63.286719 }, //06 July 1998, UT1-UTC=-0.1027186, Accumulated Leap Seconds=31 + { 2451001.50, 63.286897 }, //07 July 1998, UT1-UTC=-0.1028967, Accumulated Leap Seconds=31 + { 2451002.50, 63.286982 }, //08 July 1998, UT1-UTC=-0.1029824, Accumulated Leap Seconds=31 + { 2451003.50, 63.287003 }, //09 July 1998, UT1-UTC=-0.1030035, Accumulated Leap Seconds=31 + { 2451004.50, 63.287042 }, //10 July 1998, UT1-UTC=-0.1030415, Accumulated Leap Seconds=31 + { 2451005.50, 63.287195 }, //11 July 1998, UT1-UTC=-0.1031947, Accumulated Leap Seconds=31 + { 2451006.50, 63.287523 }, //12 July 1998, UT1-UTC=-0.1035226, Accumulated Leap Seconds=31 + { 2451007.50, 63.288030 }, //13 July 1998, UT1-UTC=-0.1040298, Accumulated Leap Seconds=31 + { 2451008.50, 63.288681 }, //14 July 1998, UT1-UTC=-0.1046812, Accumulated Leap Seconds=31 + { 2451009.50, 63.289419 }, //15 July 1998, UT1-UTC=-0.1054190, Accumulated Leap Seconds=31 + { 2451010.50, 63.290174 }, //16 July 1998, UT1-UTC=-0.1061736, Accumulated Leap Seconds=31 + { 2451011.50, 63.290866 }, //17 July 1998, UT1-UTC=-0.1068659, Accumulated Leap Seconds=31 + { 2451012.50, 63.291439 }, //18 July 1998, UT1-UTC=-0.1074393, Accumulated Leap Seconds=31 + { 2451013.50, 63.291872 }, //19 July 1998, UT1-UTC=-0.1078724, Accumulated Leap Seconds=31 + { 2451014.50, 63.292164 }, //20 July 1998, UT1-UTC=-0.1081643, Accumulated Leap Seconds=31 + { 2451015.50, 63.292331 }, //21 July 1998, UT1-UTC=-0.1083311, Accumulated Leap Seconds=31 + { 2451016.50, 63.292423 }, //22 July 1998, UT1-UTC=-0.1084226, Accumulated Leap Seconds=31 + { 2451017.50, 63.292522 }, //23 July 1998, UT1-UTC=-0.1085224, Accumulated Leap Seconds=31 + { 2451018.50, 63.292684 }, //24 July 1998, UT1-UTC=-0.1086844, Accumulated Leap Seconds=31 + { 2451019.50, 63.292945 }, //25 July 1998, UT1-UTC=-0.1089446, Accumulated Leap Seconds=31 + { 2451020.50, 63.293314 }, //26 July 1998, UT1-UTC=-0.1093143, Accumulated Leap Seconds=31 + { 2451021.50, 63.293762 }, //27 July 1998, UT1-UTC=-0.1097623, Accumulated Leap Seconds=31 + { 2451022.50, 63.294247 }, //28 July 1998, UT1-UTC=-0.1102469, Accumulated Leap Seconds=31 + { 2451023.50, 63.294730 }, //29 July 1998, UT1-UTC=-0.1107304, Accumulated Leap Seconds=31 + { 2451024.50, 63.295193 }, //30 July 1998, UT1-UTC=-0.1111935, Accumulated Leap Seconds=31 + { 2451025.50, 63.295670 }, //31 July 1998, UT1-UTC=-0.1116704, Accumulated Leap Seconds=31 + { 2451026.50, 63.296137 }, //01 August 1998, UT1-UTC=-0.1121369, Accumulated Leap Seconds=31 + { 2451027.50, 63.296552 }, //02 August 1998, UT1-UTC=-0.1125522, Accumulated Leap Seconds=31 + { 2451028.50, 63.296918 }, //03 August 1998, UT1-UTC=-0.1129176, Accumulated Leap Seconds=31 + { 2451029.50, 63.297247 }, //04 August 1998, UT1-UTC=-0.1132469, Accumulated Leap Seconds=31 + { 2451030.50, 63.297560 }, //05 August 1998, UT1-UTC=-0.1135605, Accumulated Leap Seconds=31 + { 2451031.50, 63.297884 }, //06 August 1998, UT1-UTC=-0.1138838, Accumulated Leap Seconds=31 + { 2451032.50, 63.298274 }, //07 August 1998, UT1-UTC=-0.1142743, Accumulated Leap Seconds=31 + { 2451033.50, 63.298795 }, //08 August 1998, UT1-UTC=-0.1147954, Accumulated Leap Seconds=31 + { 2451034.50, 63.299484 }, //09 August 1998, UT1-UTC=-0.1154840, Accumulated Leap Seconds=31 + { 2451035.50, 63.300339 }, //10 August 1998, UT1-UTC=-0.1163391, Accumulated Leap Seconds=31 + { 2451036.50, 63.301309 }, //11 August 1998, UT1-UTC=-0.1173091, Accumulated Leap Seconds=31 + { 2451037.50, 63.302317 }, //12 August 1998, UT1-UTC=-0.1183170, Accumulated Leap Seconds=31 + { 2451038.50, 63.303287 }, //13 August 1998, UT1-UTC=-0.1192872, Accumulated Leap Seconds=31 + { 2451039.50, 63.304133 }, //14 August 1998, UT1-UTC=-0.1201329, Accumulated Leap Seconds=31 + { 2451040.50, 63.304800 }, //15 August 1998, UT1-UTC=-0.1207999, Accumulated Leap Seconds=31 + { 2451041.50, 63.305276 }, //16 August 1998, UT1-UTC=-0.1212755, Accumulated Leap Seconds=31 + { 2451042.50, 63.305593 }, //17 August 1998, UT1-UTC=-0.1215926, Accumulated Leap Seconds=31 + { 2451043.50, 63.305827 }, //18 August 1998, UT1-UTC=-0.1218266, Accumulated Leap Seconds=31 + { 2451044.50, 63.306036 }, //19 August 1998, UT1-UTC=-0.1220355, Accumulated Leap Seconds=31 + { 2451045.50, 63.306237 }, //20 August 1998, UT1-UTC=-0.1222367, Accumulated Leap Seconds=31 + { 2451046.50, 63.306495 }, //21 August 1998, UT1-UTC=-0.1224955, Accumulated Leap Seconds=31 + { 2451047.50, 63.306859 }, //22 August 1998, UT1-UTC=-0.1228588, Accumulated Leap Seconds=31 + { 2451048.50, 63.307315 }, //23 August 1998, UT1-UTC=-0.1233150, Accumulated Leap Seconds=31 + { 2451049.50, 63.307841 }, //24 August 1998, UT1-UTC=-0.1238411, Accumulated Leap Seconds=31 + { 2451050.50, 63.308424 }, //25 August 1998, UT1-UTC=-0.1244240, Accumulated Leap Seconds=31 + { 2451051.50, 63.309062 }, //26 August 1998, UT1-UTC=-0.1250624, Accumulated Leap Seconds=31 + { 2451052.50, 63.309742 }, //27 August 1998, UT1-UTC=-0.1257425, Accumulated Leap Seconds=31 + { 2451053.50, 63.310364 }, //28 August 1998, UT1-UTC=-0.1263636, Accumulated Leap Seconds=31 + { 2451054.50, 63.310921 }, //29 August 1998, UT1-UTC=-0.1269212, Accumulated Leap Seconds=31 + { 2451055.50, 63.311468 }, //30 August 1998, UT1-UTC=-0.1274676, Accumulated Leap Seconds=31 + { 2451056.50, 63.312027 }, //31 August 1998, UT1-UTC=-0.1280275, Accumulated Leap Seconds=31 + { 2451057.50, 63.312609 }, //01 September 1998, UT1-UTC=-0.1286092, Accumulated Leap Seconds=31 + { 2451058.50, 63.313234 }, //02 September 1998, UT1-UTC=-0.1292343, Accumulated Leap Seconds=31 + { 2451059.50, 63.313924 }, //03 September 1998, UT1-UTC=-0.1299243, Accumulated Leap Seconds=31 + { 2451060.50, 63.314722 }, //04 September 1998, UT1-UTC=-0.1307220, Accumulated Leap Seconds=31 + { 2451061.50, 63.315683 }, //05 September 1998, UT1-UTC=-0.1316830, Accumulated Leap Seconds=31 + { 2451062.50, 63.316837 }, //06 September 1998, UT1-UTC=-0.1328370, Accumulated Leap Seconds=31 + { 2451063.50, 63.318150 }, //07 September 1998, UT1-UTC=-0.1341501, Accumulated Leap Seconds=31 + { 2451064.50, 63.319573 }, //08 September 1998, UT1-UTC=-0.1355729, Accumulated Leap Seconds=31 + { 2451065.50, 63.321032 }, //09 September 1998, UT1-UTC=-0.1370316, Accumulated Leap Seconds=31 + { 2451066.50, 63.322443 }, //10 September 1998, UT1-UTC=-0.1384432, Accumulated Leap Seconds=31 + { 2451067.50, 63.323702 }, //11 September 1998, UT1-UTC=-0.1397025, Accumulated Leap Seconds=31 + { 2451068.50, 63.324756 }, //12 September 1998, UT1-UTC=-0.1407564, Accumulated Leap Seconds=31 + { 2451069.50, 63.325625 }, //13 September 1998, UT1-UTC=-0.1416251, Accumulated Leap Seconds=31 + { 2451070.50, 63.326353 }, //14 September 1998, UT1-UTC=-0.1423535, Accumulated Leap Seconds=31 + { 2451071.50, 63.327036 }, //15 September 1998, UT1-UTC=-0.1430362, Accumulated Leap Seconds=31 + { 2451072.50, 63.327748 }, //16 September 1998, UT1-UTC=-0.1437484, Accumulated Leap Seconds=31 + { 2451073.50, 63.328525 }, //17 September 1998, UT1-UTC=-0.1445251, Accumulated Leap Seconds=31 + { 2451074.50, 63.329383 }, //18 September 1998, UT1-UTC=-0.1453833, Accumulated Leap Seconds=31 + { 2451075.50, 63.330344 }, //19 September 1998, UT1-UTC=-0.1463441, Accumulated Leap Seconds=31 + { 2451076.50, 63.331409 }, //20 September 1998, UT1-UTC=-0.1474095, Accumulated Leap Seconds=31 + { 2451077.50, 63.332534 }, //21 September 1998, UT1-UTC=-0.1485342, Accumulated Leap Seconds=31 + { 2451078.50, 63.333673 }, //22 September 1998, UT1-UTC=-0.1496726, Accumulated Leap Seconds=31 + { 2451079.50, 63.334780 }, //23 September 1998, UT1-UTC=-0.1507802, Accumulated Leap Seconds=31 + { 2451080.50, 63.335829 }, //24 September 1998, UT1-UTC=-0.1518292, Accumulated Leap Seconds=31 + { 2451081.50, 63.336826 }, //25 September 1998, UT1-UTC=-0.1528258, Accumulated Leap Seconds=31 + { 2451082.50, 63.337774 }, //26 September 1998, UT1-UTC=-0.1537743, Accumulated Leap Seconds=31 + { 2451083.50, 63.338670 }, //27 September 1998, UT1-UTC=-0.1546698, Accumulated Leap Seconds=31 + { 2451084.50, 63.339505 }, //28 September 1998, UT1-UTC=-0.1555055, Accumulated Leap Seconds=31 + { 2451085.50, 63.340318 }, //29 September 1998, UT1-UTC=-0.1563181, Accumulated Leap Seconds=31 + { 2451086.50, 63.341172 }, //30 September 1998, UT1-UTC=-0.1571720, Accumulated Leap Seconds=31 + { 2451087.50, 63.342162 }, //01 October 1998, UT1-UTC=-0.1581622, Accumulated Leap Seconds=31 + { 2451088.50, 63.343346 }, //02 October 1998, UT1-UTC=-0.1593458, Accumulated Leap Seconds=31 + { 2451089.50, 63.344750 }, //03 October 1998, UT1-UTC=-0.1607503, Accumulated Leap Seconds=31 + { 2451090.50, 63.346382 }, //04 October 1998, UT1-UTC=-0.1623819, Accumulated Leap Seconds=31 + { 2451091.50, 63.348199 }, //05 October 1998, UT1-UTC=-0.1641995, Accumulated Leap Seconds=31 + { 2451092.50, 63.350100 }, //06 October 1998, UT1-UTC=-0.1661005, Accumulated Leap Seconds=31 + { 2451093.50, 63.351977 }, //07 October 1998, UT1-UTC=-0.1679768, Accumulated Leap Seconds=31 + { 2451094.50, 63.353772 }, //08 October 1998, UT1-UTC=-0.1697717, Accumulated Leap Seconds=31 + { 2451095.50, 63.355430 }, //09 October 1998, UT1-UTC=-0.1714298, Accumulated Leap Seconds=31 + { 2451096.50, 63.356952 }, //10 October 1998, UT1-UTC=-0.1729521, Accumulated Leap Seconds=31 + { 2451097.50, 63.358344 }, //11 October 1998, UT1-UTC=-0.1743443, Accumulated Leap Seconds=31 + { 2451098.50, 63.359627 }, //12 October 1998, UT1-UTC=-0.1756272, Accumulated Leap Seconds=31 + { 2451099.50, 63.360859 }, //13 October 1998, UT1-UTC=-0.1768590, Accumulated Leap Seconds=31 + { 2451100.50, 63.362108 }, //14 October 1998, UT1-UTC=-0.1781084, Accumulated Leap Seconds=31 + { 2451101.50, 63.363440 }, //15 October 1998, UT1-UTC=-0.1794396, Accumulated Leap Seconds=31 + { 2451102.50, 63.364827 }, //16 October 1998, UT1-UTC=-0.1808271, Accumulated Leap Seconds=31 + { 2451103.50, 63.366244 }, //17 October 1998, UT1-UTC=-0.1822437, Accumulated Leap Seconds=31 + { 2451104.50, 63.367689 }, //18 October 1998, UT1-UTC=-0.1836888, Accumulated Leap Seconds=31 + { 2451105.50, 63.369154 }, //19 October 1998, UT1-UTC=-0.1851536, Accumulated Leap Seconds=31 + { 2451106.50, 63.370616 }, //20 October 1998, UT1-UTC=-0.1866161, Accumulated Leap Seconds=31 + { 2451107.50, 63.372065 }, //21 October 1998, UT1-UTC=-0.1880647, Accumulated Leap Seconds=31 + { 2451108.50, 63.373479 }, //22 October 1998, UT1-UTC=-0.1894793, Accumulated Leap Seconds=31 + { 2451109.50, 63.374814 }, //23 October 1998, UT1-UTC=-0.1908137, Accumulated Leap Seconds=31 + { 2451110.50, 63.376073 }, //24 October 1998, UT1-UTC=-0.1920735, Accumulated Leap Seconds=31 + { 2451111.50, 63.377303 }, //25 October 1998, UT1-UTC=-0.1933035, Accumulated Leap Seconds=31 + { 2451112.50, 63.378523 }, //26 October 1998, UT1-UTC=-0.1945232, Accumulated Leap Seconds=31 + { 2451113.50, 63.379716 }, //27 October 1998, UT1-UTC=-0.1957162, Accumulated Leap Seconds=31 + { 2451114.50, 63.380901 }, //28 October 1998, UT1-UTC=-0.1969014, Accumulated Leap Seconds=31 + { 2451115.50, 63.382160 }, //29 October 1998, UT1-UTC=-0.1981601, Accumulated Leap Seconds=31 + { 2451116.50, 63.383590 }, //30 October 1998, UT1-UTC=-0.1995900, Accumulated Leap Seconds=31 + { 2451117.50, 63.385245 }, //31 October 1998, UT1-UTC=-0.2012454, Accumulated Leap Seconds=31 + { 2451118.50, 63.387130 }, //01 November 1998, UT1-UTC=-0.2031303, Accumulated Leap Seconds=31 + { 2451119.50, 63.389193 }, //02 November 1998, UT1-UTC=-0.2051926, Accumulated Leap Seconds=31 + { 2451120.50, 63.391325 }, //03 November 1998, UT1-UTC=-0.2073251, Accumulated Leap Seconds=31 + { 2451121.50, 63.393409 }, //04 November 1998, UT1-UTC=-0.2094093, Accumulated Leap Seconds=31 + { 2451122.50, 63.395365 }, //05 November 1998, UT1-UTC=-0.2113650, Accumulated Leap Seconds=31 + { 2451123.50, 63.397141 }, //06 November 1998, UT1-UTC=-0.2131407, Accumulated Leap Seconds=31 + { 2451124.50, 63.398755 }, //07 November 1998, UT1-UTC=-0.2147551, Accumulated Leap Seconds=31 + { 2451125.50, 63.400249 }, //08 November 1998, UT1-UTC=-0.2162487, Accumulated Leap Seconds=31 + { 2451126.50, 63.401682 }, //09 November 1998, UT1-UTC=-0.2176819, Accumulated Leap Seconds=31 + { 2451127.50, 63.403120 }, //10 November 1998, UT1-UTC=-0.2191202, Accumulated Leap Seconds=31 + { 2451128.50, 63.404591 }, //11 November 1998, UT1-UTC=-0.2205909, Accumulated Leap Seconds=31 + { 2451129.50, 63.406090 }, //12 November 1998, UT1-UTC=-0.2220896, Accumulated Leap Seconds=31 + { 2451130.50, 63.407608 }, //13 November 1998, UT1-UTC=-0.2236081, Accumulated Leap Seconds=31 + { 2451131.50, 63.409132 }, //14 November 1998, UT1-UTC=-0.2251319, Accumulated Leap Seconds=31 + { 2451132.50, 63.410641 }, //15 November 1998, UT1-UTC=-0.2266414, Accumulated Leap Seconds=31 + { 2451133.50, 63.412114 }, //16 November 1998, UT1-UTC=-0.2281143, Accumulated Leap Seconds=31 + { 2451134.50, 63.413545 }, //17 November 1998, UT1-UTC=-0.2295452, Accumulated Leap Seconds=31 + { 2451135.50, 63.414934 }, //18 November 1998, UT1-UTC=-0.2309338, Accumulated Leap Seconds=31 + { 2451136.50, 63.416280 }, //19 November 1998, UT1-UTC=-0.2322805, Accumulated Leap Seconds=31 + { 2451137.50, 63.417578 }, //20 November 1998, UT1-UTC=-0.2335782, Accumulated Leap Seconds=31 + { 2451138.50, 63.418834 }, //21 November 1998, UT1-UTC=-0.2348337, Accumulated Leap Seconds=31 + { 2451139.50, 63.420062 }, //22 November 1998, UT1-UTC=-0.2360622, Accumulated Leap Seconds=31 + { 2451140.50, 63.421288 }, //23 November 1998, UT1-UTC=-0.2372881, Accumulated Leap Seconds=31 + { 2451141.50, 63.422533 }, //24 November 1998, UT1-UTC=-0.2385329, Accumulated Leap Seconds=31 + { 2451142.50, 63.423819 }, //25 November 1998, UT1-UTC=-0.2398188, Accumulated Leap Seconds=31 + { 2451143.50, 63.425204 }, //26 November 1998, UT1-UTC=-0.2412040, Accumulated Leap Seconds=31 + { 2451144.50, 63.426740 }, //27 November 1998, UT1-UTC=-0.2427405, Accumulated Leap Seconds=31 + { 2451145.50, 63.428440 }, //28 November 1998, UT1-UTC=-0.2444404, Accumulated Leap Seconds=31 + { 2451146.50, 63.430269 }, //29 November 1998, UT1-UTC=-0.2462693, Accumulated Leap Seconds=31 + { 2451147.50, 63.432132 }, //30 November 1998, UT1-UTC=-0.2481323, Accumulated Leap Seconds=31 + { 2451148.50, 63.433930 }, //01 December 1998, UT1-UTC=-0.2499302, Accumulated Leap Seconds=31 + { 2451149.50, 63.435594 }, //02 December 1998, UT1-UTC=-0.2515939, Accumulated Leap Seconds=31 + { 2451150.50, 63.437116 }, //03 December 1998, UT1-UTC=-0.2531158, Accumulated Leap Seconds=31 + { 2451151.50, 63.438480 }, //04 December 1998, UT1-UTC=-0.2544798, Accumulated Leap Seconds=31 + { 2451152.50, 63.439707 }, //05 December 1998, UT1-UTC=-0.2557069, Accumulated Leap Seconds=31 + { 2451153.50, 63.440849 }, //06 December 1998, UT1-UTC=-0.2568494, Accumulated Leap Seconds=31 + { 2451154.50, 63.441950 }, //07 December 1998, UT1-UTC=-0.2579503, Accumulated Leap Seconds=31 + { 2451155.50, 63.443032 }, //08 December 1998, UT1-UTC=-0.2590320, Accumulated Leap Seconds=31 + { 2451156.50, 63.444105 }, //09 December 1998, UT1-UTC=-0.2601053, Accumulated Leap Seconds=31 + { 2451157.50, 63.445218 }, //10 December 1998, UT1-UTC=-0.2612184, Accumulated Leap Seconds=31 + { 2451158.50, 63.446391 }, //11 December 1998, UT1-UTC=-0.2623909, Accumulated Leap Seconds=31 + { 2451159.50, 63.447583 }, //12 December 1998, UT1-UTC=-0.2635827, Accumulated Leap Seconds=31 + { 2451160.50, 63.448736 }, //13 December 1998, UT1-UTC=-0.2647357, Accumulated Leap Seconds=31 + { 2451161.50, 63.449827 }, //14 December 1998, UT1-UTC=-0.2658275, Accumulated Leap Seconds=31 + { 2451162.50, 63.450846 }, //15 December 1998, UT1-UTC=-0.2668465, Accumulated Leap Seconds=31 + { 2451163.50, 63.451779 }, //16 December 1998, UT1-UTC=-0.2677791, Accumulated Leap Seconds=31 + { 2451164.50, 63.452616 }, //17 December 1998, UT1-UTC=-0.2686158, Accumulated Leap Seconds=31 + { 2451165.50, 63.453372 }, //18 December 1998, UT1-UTC=-0.2693720, Accumulated Leap Seconds=31 + { 2451166.50, 63.454059 }, //19 December 1998, UT1-UTC=-0.2700595, Accumulated Leap Seconds=31 + { 2451167.50, 63.454701 }, //20 December 1998, UT1-UTC=-0.2707009, Accumulated Leap Seconds=31 + { 2451168.50, 63.455336 }, //21 December 1998, UT1-UTC=-0.2713359, Accumulated Leap Seconds=31 + { 2451169.50, 63.456001 }, //22 December 1998, UT1-UTC=-0.2720006, Accumulated Leap Seconds=31 + { 2451170.50, 63.456744 }, //23 December 1998, UT1-UTC=-0.2727442, Accumulated Leap Seconds=31 + { 2451171.50, 63.457650 }, //24 December 1998, UT1-UTC=-0.2736499, Accumulated Leap Seconds=31 + { 2451172.50, 63.458750 }, //25 December 1998, UT1-UTC=-0.2747502, Accumulated Leap Seconds=31 + { 2451173.50, 63.460001 }, //26 December 1998, UT1-UTC=-0.2760006, Accumulated Leap Seconds=31 + { 2451174.50, 63.461331 }, //27 December 1998, UT1-UTC=-0.2773312, Accumulated Leap Seconds=31 + { 2451175.50, 63.462675 }, //28 December 1998, UT1-UTC=-0.2786753, Accumulated Leap Seconds=31 + { 2451176.50, 63.463977 }, //29 December 1998, UT1-UTC=-0.2799775, Accumulated Leap Seconds=31 + { 2451177.50, 63.465210 }, //30 December 1998, UT1-UTC=-0.2812099, Accumulated Leap Seconds=31 + { 2451178.50, 63.466334 }, //31 December 1998, UT1-UTC=-0.2823341, Accumulated Leap Seconds=31 + { 2451179.50, 63.467337 }, //01 January 1999, UT1-UTC= 0.7166631, Accumulated Leap Seconds=32 + { 2451180.50, 63.468246 }, //02 January 1999, UT1-UTC= 0.7157538, Accumulated Leap Seconds=32 + { 2451181.50, 63.469107 }, //03 January 1999, UT1-UTC= 0.7148929, Accumulated Leap Seconds=32 + { 2451182.50, 63.469958 }, //04 January 1999, UT1-UTC= 0.7140423, Accumulated Leap Seconds=32 + { 2451183.50, 63.470818 }, //05 January 1999, UT1-UTC= 0.7131819, Accumulated Leap Seconds=32 + { 2451184.50, 63.471720 }, //06 January 1999, UT1-UTC= 0.7122795, Accumulated Leap Seconds=32 + { 2451185.50, 63.472735 }, //07 January 1999, UT1-UTC= 0.7112652, Accumulated Leap Seconds=32 + { 2451186.50, 63.473816 }, //08 January 1999, UT1-UTC= 0.7101837, Accumulated Leap Seconds=32 + { 2451187.50, 63.474895 }, //09 January 1999, UT1-UTC= 0.7091047, Accumulated Leap Seconds=32 + { 2451188.50, 63.475965 }, //10 January 1999, UT1-UTC= 0.7080354, Accumulated Leap Seconds=32 + { 2451189.50, 63.477006 }, //11 January 1999, UT1-UTC= 0.7069937, Accumulated Leap Seconds=32 + { 2451190.50, 63.477952 }, //12 January 1999, UT1-UTC= 0.7060484, Accumulated Leap Seconds=32 + { 2451191.50, 63.478765 }, //13 January 1999, UT1-UTC= 0.7052346, Accumulated Leap Seconds=32 + { 2451192.50, 63.479500 }, //14 January 1999, UT1-UTC= 0.7045002, Accumulated Leap Seconds=32 + { 2451193.50, 63.480182 }, //15 January 1999, UT1-UTC= 0.7038183, Accumulated Leap Seconds=32 + { 2451194.50, 63.480792 }, //16 January 1999, UT1-UTC= 0.7032077, Accumulated Leap Seconds=32 + { 2451195.50, 63.481348 }, //17 January 1999, UT1-UTC= 0.7026524, Accumulated Leap Seconds=32 + { 2451196.50, 63.481893 }, //18 January 1999, UT1-UTC= 0.7021070, Accumulated Leap Seconds=32 + { 2451197.50, 63.482509 }, //19 January 1999, UT1-UTC= 0.7014909, Accumulated Leap Seconds=32 + { 2451198.50, 63.483263 }, //20 January 1999, UT1-UTC= 0.7007374, Accumulated Leap Seconds=32 + { 2451199.50, 63.484203 }, //21 January 1999, UT1-UTC= 0.6997973, Accumulated Leap Seconds=32 + { 2451200.50, 63.485328 }, //22 January 1999, UT1-UTC= 0.6986720, Accumulated Leap Seconds=32 + { 2451201.50, 63.486597 }, //23 January 1999, UT1-UTC= 0.6974028, Accumulated Leap Seconds=32 + { 2451202.50, 63.487965 }, //24 January 1999, UT1-UTC= 0.6960345, Accumulated Leap Seconds=32 + { 2451203.50, 63.489375 }, //25 January 1999, UT1-UTC= 0.6946253, Accumulated Leap Seconds=32 + { 2451204.50, 63.490726 }, //26 January 1999, UT1-UTC= 0.6932741, Accumulated Leap Seconds=32 + { 2451205.50, 63.491975 }, //27 January 1999, UT1-UTC= 0.6920250, Accumulated Leap Seconds=32 + { 2451206.50, 63.493158 }, //28 January 1999, UT1-UTC= 0.6908424, Accumulated Leap Seconds=32 + { 2451207.50, 63.494301 }, //29 January 1999, UT1-UTC= 0.6896986, Accumulated Leap Seconds=32 + { 2451208.50, 63.495455 }, //30 January 1999, UT1-UTC= 0.6885450, Accumulated Leap Seconds=32 + { 2451209.50, 63.496638 }, //31 January 1999, UT1-UTC= 0.6873616, Accumulated Leap Seconds=32 + { 2451210.50, 63.497864 }, //01 February 1999, UT1-UTC= 0.6861358, Accumulated Leap Seconds=32 + { 2451211.50, 63.499136 }, //02 February 1999, UT1-UTC= 0.6848638, Accumulated Leap Seconds=32 + { 2451212.50, 63.500445 }, //03 February 1999, UT1-UTC= 0.6835548, Accumulated Leap Seconds=32 + { 2451213.50, 63.501774 }, //04 February 1999, UT1-UTC= 0.6822259, Accumulated Leap Seconds=32 + { 2451214.50, 63.503107 }, //05 February 1999, UT1-UTC= 0.6808925, Accumulated Leap Seconds=32 + { 2451215.50, 63.504429 }, //06 February 1999, UT1-UTC= 0.6795712, Accumulated Leap Seconds=32 + { 2451216.50, 63.505712 }, //07 February 1999, UT1-UTC= 0.6782882, Accumulated Leap Seconds=32 + { 2451217.50, 63.506924 }, //08 February 1999, UT1-UTC= 0.6770761, Accumulated Leap Seconds=32 + { 2451218.50, 63.508045 }, //09 February 1999, UT1-UTC= 0.6759552, Accumulated Leap Seconds=32 + { 2451219.50, 63.509088 }, //10 February 1999, UT1-UTC= 0.6749119, Accumulated Leap Seconds=32 + { 2451220.50, 63.510057 }, //11 February 1999, UT1-UTC= 0.6739428, Accumulated Leap Seconds=32 + { 2451221.50, 63.510964 }, //12 February 1999, UT1-UTC= 0.6730364, Accumulated Leap Seconds=32 + { 2451222.50, 63.511861 }, //13 February 1999, UT1-UTC= 0.6721393, Accumulated Leap Seconds=32 + { 2451223.50, 63.512820 }, //14 February 1999, UT1-UTC= 0.6711804, Accumulated Leap Seconds=32 + { 2451224.50, 63.513886 }, //15 February 1999, UT1-UTC= 0.6701140, Accumulated Leap Seconds=32 + { 2451225.50, 63.515082 }, //16 February 1999, UT1-UTC= 0.6689183, Accumulated Leap Seconds=32 + { 2451226.50, 63.516426 }, //17 February 1999, UT1-UTC= 0.6675736, Accumulated Leap Seconds=32 + { 2451227.50, 63.517948 }, //18 February 1999, UT1-UTC= 0.6660522, Accumulated Leap Seconds=32 + { 2451228.50, 63.519606 }, //19 February 1999, UT1-UTC= 0.6643942, Accumulated Leap Seconds=32 + { 2451229.50, 63.521303 }, //20 February 1999, UT1-UTC= 0.6626968, Accumulated Leap Seconds=32 + { 2451230.50, 63.522959 }, //21 February 1999, UT1-UTC= 0.6610413, Accumulated Leap Seconds=32 + { 2451231.50, 63.524527 }, //22 February 1999, UT1-UTC= 0.6594725, Accumulated Leap Seconds=32 + { 2451232.50, 63.525949 }, //23 February 1999, UT1-UTC= 0.6580508, Accumulated Leap Seconds=32 + { 2451233.50, 63.527189 }, //24 February 1999, UT1-UTC= 0.6568111, Accumulated Leap Seconds=32 + { 2451234.50, 63.528269 }, //25 February 1999, UT1-UTC= 0.6557312, Accumulated Leap Seconds=32 + { 2451235.50, 63.529232 }, //26 February 1999, UT1-UTC= 0.6547679, Accumulated Leap Seconds=32 + { 2451236.50, 63.530125 }, //27 February 1999, UT1-UTC= 0.6538752, Accumulated Leap Seconds=32 + { 2451237.50, 63.531012 }, //28 February 1999, UT1-UTC= 0.6529877, Accumulated Leap Seconds=32 + { 2451238.50, 63.531933 }, //01 March 1999, UT1-UTC= 0.6520673, Accumulated Leap Seconds=32 + { 2451239.50, 63.532875 }, //02 March 1999, UT1-UTC= 0.6511253, Accumulated Leap Seconds=32 + { 2451240.50, 63.533825 }, //03 March 1999, UT1-UTC= 0.6501754, Accumulated Leap Seconds=32 + { 2451241.50, 63.534802 }, //04 March 1999, UT1-UTC= 0.6491977, Accumulated Leap Seconds=32 + { 2451242.50, 63.535816 }, //05 March 1999, UT1-UTC= 0.6481838, Accumulated Leap Seconds=32 + { 2451243.50, 63.536826 }, //06 March 1999, UT1-UTC= 0.6471735, Accumulated Leap Seconds=32 + { 2451244.50, 63.537742 }, //07 March 1999, UT1-UTC= 0.6462583, Accumulated Leap Seconds=32 + { 2451245.50, 63.538571 }, //08 March 1999, UT1-UTC= 0.6454292, Accumulated Leap Seconds=32 + { 2451246.50, 63.539332 }, //09 March 1999, UT1-UTC= 0.6446676, Accumulated Leap Seconds=32 + { 2451247.50, 63.540043 }, //10 March 1999, UT1-UTC= 0.6439574, Accumulated Leap Seconds=32 + { 2451248.50, 63.540735 }, //11 March 1999, UT1-UTC= 0.6432645, Accumulated Leap Seconds=32 + { 2451249.50, 63.541451 }, //12 March 1999, UT1-UTC= 0.6425490, Accumulated Leap Seconds=32 + { 2451250.50, 63.542235 }, //13 March 1999, UT1-UTC= 0.6417652, Accumulated Leap Seconds=32 + { 2451251.50, 63.543136 }, //14 March 1999, UT1-UTC= 0.6408641, Accumulated Leap Seconds=32 + { 2451252.50, 63.544199 }, //15 March 1999, UT1-UTC= 0.6398005, Accumulated Leap Seconds=32 + { 2451253.50, 63.545439 }, //16 March 1999, UT1-UTC= 0.6385608, Accumulated Leap Seconds=32 + { 2451254.50, 63.546840 }, //17 March 1999, UT1-UTC= 0.6371604, Accumulated Leap Seconds=32 + { 2451255.50, 63.548372 }, //18 March 1999, UT1-UTC= 0.6356283, Accumulated Leap Seconds=32 + { 2451256.50, 63.549993 }, //19 March 1999, UT1-UTC= 0.6340067, Accumulated Leap Seconds=32 + { 2451257.50, 63.551655 }, //20 March 1999, UT1-UTC= 0.6323448, Accumulated Leap Seconds=32 + { 2451258.50, 63.553317 }, //21 March 1999, UT1-UTC= 0.6306827, Accumulated Leap Seconds=32 + { 2451259.50, 63.554918 }, //22 March 1999, UT1-UTC= 0.6290823, Accumulated Leap Seconds=32 + { 2451260.50, 63.556379 }, //23 March 1999, UT1-UTC= 0.6276210, Accumulated Leap Seconds=32 + { 2451261.50, 63.557682 }, //24 March 1999, UT1-UTC= 0.6263176, Accumulated Leap Seconds=32 + { 2451262.50, 63.558885 }, //25 March 1999, UT1-UTC= 0.6251154, Accumulated Leap Seconds=32 + { 2451263.50, 63.560034 }, //26 March 1999, UT1-UTC= 0.6239661, Accumulated Leap Seconds=32 + { 2451264.50, 63.561210 }, //27 March 1999, UT1-UTC= 0.6227899, Accumulated Leap Seconds=32 + { 2451265.50, 63.562452 }, //28 March 1999, UT1-UTC= 0.6215475, Accumulated Leap Seconds=32 + { 2451266.50, 63.563773 }, //29 March 1999, UT1-UTC= 0.6202271, Accumulated Leap Seconds=32 + { 2451267.50, 63.565145 }, //30 March 1999, UT1-UTC= 0.6188549, Accumulated Leap Seconds=32 + { 2451268.50, 63.566534 }, //31 March 1999, UT1-UTC= 0.6174657, Accumulated Leap Seconds=32 + { 2451269.50, 63.567944 }, //01 April 1999, UT1-UTC= 0.6160559, Accumulated Leap Seconds=32 + { 2451270.50, 63.569364 }, //02 April 1999, UT1-UTC= 0.6146358, Accumulated Leap Seconds=32 + { 2451271.50, 63.570751 }, //03 April 1999, UT1-UTC= 0.6132488, Accumulated Leap Seconds=32 + { 2451272.50, 63.572056 }, //04 April 1999, UT1-UTC= 0.6119436, Accumulated Leap Seconds=32 + { 2451273.50, 63.573280 }, //05 April 1999, UT1-UTC= 0.6107195, Accumulated Leap Seconds=32 + { 2451274.50, 63.574450 }, //06 April 1999, UT1-UTC= 0.6095502, Accumulated Leap Seconds=32 + { 2451275.50, 63.575594 }, //07 April 1999, UT1-UTC= 0.6084063, Accumulated Leap Seconds=32 + { 2451276.50, 63.576698 }, //08 April 1999, UT1-UTC= 0.6073019, Accumulated Leap Seconds=32 + { 2451277.50, 63.577784 }, //09 April 1999, UT1-UTC= 0.6062160, Accumulated Leap Seconds=32 + { 2451278.50, 63.578921 }, //10 April 1999, UT1-UTC= 0.6050794, Accumulated Leap Seconds=32 + { 2451279.50, 63.580162 }, //11 April 1999, UT1-UTC= 0.6038380, Accumulated Leap Seconds=32 + { 2451280.50, 63.581563 }, //12 April 1999, UT1-UTC= 0.6024367, Accumulated Leap Seconds=32 + { 2451281.50, 63.583169 }, //13 April 1999, UT1-UTC= 0.6008313, Accumulated Leap Seconds=32 + { 2451282.50, 63.584967 }, //14 April 1999, UT1-UTC= 0.5990325, Accumulated Leap Seconds=32 + { 2451283.50, 63.586873 }, //15 April 1999, UT1-UTC= 0.5971267, Accumulated Leap Seconds=32 + { 2451284.50, 63.588811 }, //16 April 1999, UT1-UTC= 0.5951894, Accumulated Leap Seconds=32 + { 2451285.50, 63.590699 }, //17 April 1999, UT1-UTC= 0.5933008, Accumulated Leap Seconds=32 + { 2451286.50, 63.592457 }, //18 April 1999, UT1-UTC= 0.5915425, Accumulated Leap Seconds=32 + { 2451287.50, 63.594063 }, //19 April 1999, UT1-UTC= 0.5899368, Accumulated Leap Seconds=32 + { 2451288.50, 63.595520 }, //20 April 1999, UT1-UTC= 0.5884796, Accumulated Leap Seconds=32 + { 2451289.50, 63.596864 }, //21 April 1999, UT1-UTC= 0.5871357, Accumulated Leap Seconds=32 + { 2451290.50, 63.598130 }, //22 April 1999, UT1-UTC= 0.5858700, Accumulated Leap Seconds=32 + { 2451291.50, 63.599348 }, //23 April 1999, UT1-UTC= 0.5846524, Accumulated Leap Seconds=32 + { 2451292.50, 63.600590 }, //24 April 1999, UT1-UTC= 0.5834096, Accumulated Leap Seconds=32 + { 2451293.50, 63.601896 }, //25 April 1999, UT1-UTC= 0.5821038, Accumulated Leap Seconds=32 + { 2451294.50, 63.603273 }, //26 April 1999, UT1-UTC= 0.5807272, Accumulated Leap Seconds=32 + { 2451295.50, 63.604712 }, //27 April 1999, UT1-UTC= 0.5792883, Accumulated Leap Seconds=32 + { 2451296.50, 63.606185 }, //28 April 1999, UT1-UTC= 0.5778153, Accumulated Leap Seconds=32 + { 2451297.50, 63.607657 }, //29 April 1999, UT1-UTC= 0.5763425, Accumulated Leap Seconds=32 + { 2451298.50, 63.609089 }, //30 April 1999, UT1-UTC= 0.5749110, Accumulated Leap Seconds=32 + { 2451299.50, 63.610443 }, //01 May 1999, UT1-UTC= 0.5735568, Accumulated Leap Seconds=32 + { 2451300.50, 63.611699 }, //02 May 1999, UT1-UTC= 0.5723009, Accumulated Leap Seconds=32 + { 2451301.50, 63.612839 }, //03 May 1999, UT1-UTC= 0.5711608, Accumulated Leap Seconds=32 + { 2451302.50, 63.613847 }, //04 May 1999, UT1-UTC= 0.5701531, Accumulated Leap Seconds=32 + { 2451303.50, 63.614715 }, //05 May 1999, UT1-UTC= 0.5692849, Accumulated Leap Seconds=32 + { 2451304.50, 63.615475 }, //06 May 1999, UT1-UTC= 0.5685253, Accumulated Leap Seconds=32 + { 2451305.50, 63.616198 }, //07 May 1999, UT1-UTC= 0.5678023, Accumulated Leap Seconds=32 + { 2451306.50, 63.616976 }, //08 May 1999, UT1-UTC= 0.5670242, Accumulated Leap Seconds=32 + { 2451307.50, 63.617874 }, //09 May 1999, UT1-UTC= 0.5661260, Accumulated Leap Seconds=32 + { 2451308.50, 63.618934 }, //10 May 1999, UT1-UTC= 0.5650662, Accumulated Leap Seconds=32 + { 2451309.50, 63.620162 }, //11 May 1999, UT1-UTC= 0.5638383, Accumulated Leap Seconds=32 + { 2451310.50, 63.621558 }, //12 May 1999, UT1-UTC= 0.5624417, Accumulated Leap Seconds=32 + { 2451311.50, 63.623098 }, //13 May 1999, UT1-UTC= 0.5609021, Accumulated Leap Seconds=32 + { 2451312.50, 63.624692 }, //14 May 1999, UT1-UTC= 0.5593077, Accumulated Leap Seconds=32 + { 2451313.50, 63.626229 }, //15 May 1999, UT1-UTC= 0.5577711, Accumulated Leap Seconds=32 + { 2451314.50, 63.627616 }, //16 May 1999, UT1-UTC= 0.5563838, Accumulated Leap Seconds=32 + { 2451315.50, 63.628822 }, //17 May 1999, UT1-UTC= 0.5551776, Accumulated Leap Seconds=32 + { 2451316.50, 63.629895 }, //18 May 1999, UT1-UTC= 0.5541047, Accumulated Leap Seconds=32 + { 2451317.50, 63.630923 }, //19 May 1999, UT1-UTC= 0.5530771, Accumulated Leap Seconds=32 + { 2451318.50, 63.631969 }, //20 May 1999, UT1-UTC= 0.5520312, Accumulated Leap Seconds=32 + { 2451319.50, 63.633067 }, //21 May 1999, UT1-UTC= 0.5509326, Accumulated Leap Seconds=32 + { 2451320.50, 63.634258 }, //22 May 1999, UT1-UTC= 0.5497423, Accumulated Leap Seconds=32 + { 2451321.50, 63.635525 }, //23 May 1999, UT1-UTC= 0.5484752, Accumulated Leap Seconds=32 + { 2451322.50, 63.636816 }, //24 May 1999, UT1-UTC= 0.5471842, Accumulated Leap Seconds=32 + { 2451323.50, 63.638117 }, //25 May 1999, UT1-UTC= 0.5458829, Accumulated Leap Seconds=32 + { 2451324.50, 63.639383 }, //26 May 1999, UT1-UTC= 0.5446169, Accumulated Leap Seconds=32 + { 2451325.50, 63.640521 }, //27 May 1999, UT1-UTC= 0.5434790, Accumulated Leap Seconds=32 + { 2451326.50, 63.641512 }, //28 May 1999, UT1-UTC= 0.5424877, Accumulated Leap Seconds=32 + { 2451327.50, 63.642379 }, //29 May 1999, UT1-UTC= 0.5416207, Accumulated Leap Seconds=32 + { 2451328.50, 63.643143 }, //30 May 1999, UT1-UTC= 0.5408573, Accumulated Leap Seconds=32 + { 2451329.50, 63.643821 }, //31 May 1999, UT1-UTC= 0.5401792, Accumulated Leap Seconds=32 + { 2451330.50, 63.644429 }, //01 June 1999, UT1-UTC= 0.5395709, Accumulated Leap Seconds=32 + { 2451331.50, 63.645001 }, //02 June 1999, UT1-UTC= 0.5389991, Accumulated Leap Seconds=32 + { 2451332.50, 63.645579 }, //03 June 1999, UT1-UTC= 0.5384210, Accumulated Leap Seconds=32 + { 2451333.50, 63.646203 }, //04 June 1999, UT1-UTC= 0.5377971, Accumulated Leap Seconds=32 + { 2451334.50, 63.646922 }, //05 June 1999, UT1-UTC= 0.5370776, Accumulated Leap Seconds=32 + { 2451335.50, 63.647776 }, //06 June 1999, UT1-UTC= 0.5362240, Accumulated Leap Seconds=32 + { 2451336.50, 63.648765 }, //07 June 1999, UT1-UTC= 0.5352345, Accumulated Leap Seconds=32 + { 2451337.50, 63.649912 }, //08 June 1999, UT1-UTC= 0.5340876, Accumulated Leap Seconds=32 + { 2451338.50, 63.651206 }, //09 June 1999, UT1-UTC= 0.5327944, Accumulated Leap Seconds=32 + { 2451339.50, 63.652579 }, //10 June 1999, UT1-UTC= 0.5314212, Accumulated Leap Seconds=32 + { 2451340.50, 63.653942 }, //11 June 1999, UT1-UTC= 0.5300582, Accumulated Leap Seconds=32 + { 2451341.50, 63.655196 }, //12 June 1999, UT1-UTC= 0.5288036, Accumulated Leap Seconds=32 + { 2451342.50, 63.656255 }, //13 June 1999, UT1-UTC= 0.5277451, Accumulated Leap Seconds=32 + { 2451343.50, 63.657116 }, //14 June 1999, UT1-UTC= 0.5268842, Accumulated Leap Seconds=32 + { 2451344.50, 63.657835 }, //15 June 1999, UT1-UTC= 0.5261647, Accumulated Leap Seconds=32 + { 2451345.50, 63.658474 }, //16 June 1999, UT1-UTC= 0.5255264, Accumulated Leap Seconds=32 + { 2451346.50, 63.659088 }, //17 June 1999, UT1-UTC= 0.5249123, Accumulated Leap Seconds=32 + { 2451347.50, 63.659744 }, //18 June 1999, UT1-UTC= 0.5242564, Accumulated Leap Seconds=32 + { 2451348.50, 63.660457 }, //19 June 1999, UT1-UTC= 0.5235431, Accumulated Leap Seconds=32 + { 2451349.50, 63.661201 }, //20 June 1999, UT1-UTC= 0.5227985, Accumulated Leap Seconds=32 + { 2451350.50, 63.661946 }, //21 June 1999, UT1-UTC= 0.5220543, Accumulated Leap Seconds=32 + { 2451351.50, 63.662666 }, //22 June 1999, UT1-UTC= 0.5213344, Accumulated Leap Seconds=32 + { 2451352.50, 63.663310 }, //23 June 1999, UT1-UTC= 0.5206902, Accumulated Leap Seconds=32 + { 2451353.50, 63.663813 }, //24 June 1999, UT1-UTC= 0.5201869, Accumulated Leap Seconds=32 + { 2451354.50, 63.664175 }, //25 June 1999, UT1-UTC= 0.5198245, Accumulated Leap Seconds=32 + { 2451355.50, 63.664408 }, //26 June 1999, UT1-UTC= 0.5195920, Accumulated Leap Seconds=32 + { 2451356.50, 63.664511 }, //27 June 1999, UT1-UTC= 0.5194892, Accumulated Leap Seconds=32 + { 2451357.50, 63.664507 }, //28 June 1999, UT1-UTC= 0.5194934, Accumulated Leap Seconds=32 + { 2451358.50, 63.664419 }, //29 June 1999, UT1-UTC= 0.5195805, Accumulated Leap Seconds=32 + { 2451359.50, 63.664296 }, //30 June 1999, UT1-UTC= 0.5197040, Accumulated Leap Seconds=32 + { 2451360.50, 63.664181 }, //01 July 1999, UT1-UTC= 0.5198185, Accumulated Leap Seconds=32 + { 2451361.50, 63.664113 }, //02 July 1999, UT1-UTC= 0.5198866, Accumulated Leap Seconds=32 + { 2451362.50, 63.664141 }, //03 July 1999, UT1-UTC= 0.5198591, Accumulated Leap Seconds=32 + { 2451363.50, 63.664300 }, //04 July 1999, UT1-UTC= 0.5196997, Accumulated Leap Seconds=32 + { 2451364.50, 63.664647 }, //05 July 1999, UT1-UTC= 0.5193533, Accumulated Leap Seconds=32 + { 2451365.50, 63.665166 }, //06 July 1999, UT1-UTC= 0.5188338, Accumulated Leap Seconds=32 + { 2451366.50, 63.665804 }, //07 July 1999, UT1-UTC= 0.5181964, Accumulated Leap Seconds=32 + { 2451367.50, 63.666468 }, //08 July 1999, UT1-UTC= 0.5175319, Accumulated Leap Seconds=32 + { 2451368.50, 63.667071 }, //09 July 1999, UT1-UTC= 0.5169290, Accumulated Leap Seconds=32 + { 2451369.50, 63.667561 }, //10 July 1999, UT1-UTC= 0.5164390, Accumulated Leap Seconds=32 + { 2451370.50, 63.667936 }, //11 July 1999, UT1-UTC= 0.5160635, Accumulated Leap Seconds=32 + { 2451371.50, 63.668234 }, //12 July 1999, UT1-UTC= 0.5157658, Accumulated Leap Seconds=32 + { 2451372.50, 63.668501 }, //13 July 1999, UT1-UTC= 0.5154992, Accumulated Leap Seconds=32 + { 2451373.50, 63.668789 }, //14 July 1999, UT1-UTC= 0.5152114, Accumulated Leap Seconds=32 + { 2451374.50, 63.669150 }, //15 July 1999, UT1-UTC= 0.5148502, Accumulated Leap Seconds=32 + { 2451375.50, 63.669590 }, //16 July 1999, UT1-UTC= 0.5144098, Accumulated Leap Seconds=32 + { 2451376.50, 63.670104 }, //17 July 1999, UT1-UTC= 0.5138963, Accumulated Leap Seconds=32 + { 2451377.50, 63.670651 }, //18 July 1999, UT1-UTC= 0.5133493, Accumulated Leap Seconds=32 + { 2451378.50, 63.671178 }, //19 July 1999, UT1-UTC= 0.5128217, Accumulated Leap Seconds=32 + { 2451379.50, 63.671659 }, //20 July 1999, UT1-UTC= 0.5123413, Accumulated Leap Seconds=32 + { 2451380.50, 63.672074 }, //21 July 1999, UT1-UTC= 0.5119259, Accumulated Leap Seconds=32 + { 2451381.50, 63.672407 }, //22 July 1999, UT1-UTC= 0.5115925, Accumulated Leap Seconds=32 + { 2451382.50, 63.672640 }, //23 July 1999, UT1-UTC= 0.5113601, Accumulated Leap Seconds=32 + { 2451383.50, 63.672773 }, //24 July 1999, UT1-UTC= 0.5112268, Accumulated Leap Seconds=32 + { 2451384.50, 63.672821 }, //25 July 1999, UT1-UTC= 0.5111795, Accumulated Leap Seconds=32 + { 2451385.50, 63.672797 }, //26 July 1999, UT1-UTC= 0.5112034, Accumulated Leap Seconds=32 + { 2451386.50, 63.672755 }, //27 July 1999, UT1-UTC= 0.5112447, Accumulated Leap Seconds=32 + { 2451387.50, 63.672753 }, //28 July 1999, UT1-UTC= 0.5112465, Accumulated Leap Seconds=32 + { 2451388.50, 63.672836 }, //29 July 1999, UT1-UTC= 0.5111641, Accumulated Leap Seconds=32 + { 2451389.50, 63.673033 }, //30 July 1999, UT1-UTC= 0.5109674, Accumulated Leap Seconds=32 + { 2451390.50, 63.673398 }, //31 July 1999, UT1-UTC= 0.5106019, Accumulated Leap Seconds=32 + { 2451391.50, 63.673940 }, //01 August 1999, UT1-UTC= 0.5100597, Accumulated Leap Seconds=32 + { 2451392.50, 63.674616 }, //02 August 1999, UT1-UTC= 0.5093835, Accumulated Leap Seconds=32 + { 2451393.50, 63.675417 }, //03 August 1999, UT1-UTC= 0.5085834, Accumulated Leap Seconds=32 + { 2451394.50, 63.676275 }, //04 August 1999, UT1-UTC= 0.5077248, Accumulated Leap Seconds=32 + { 2451395.50, 63.677048 }, //05 August 1999, UT1-UTC= 0.5069517, Accumulated Leap Seconds=32 + { 2451396.50, 63.677664 }, //06 August 1999, UT1-UTC= 0.5063363, Accumulated Leap Seconds=32 + { 2451397.50, 63.678114 }, //07 August 1999, UT1-UTC= 0.5058855, Accumulated Leap Seconds=32 + { 2451398.50, 63.678427 }, //08 August 1999, UT1-UTC= 0.5055726, Accumulated Leap Seconds=32 + { 2451399.50, 63.678643 }, //09 August 1999, UT1-UTC= 0.5053566, Accumulated Leap Seconds=32 + { 2451400.50, 63.678845 }, //10 August 1999, UT1-UTC= 0.5051554, Accumulated Leap Seconds=32 + { 2451401.50, 63.679118 }, //11 August 1999, UT1-UTC= 0.5048818, Accumulated Leap Seconds=32 + { 2451402.50, 63.679506 }, //12 August 1999, UT1-UTC= 0.5044943, Accumulated Leap Seconds=32 + { 2451403.50, 63.679969 }, //13 August 1999, UT1-UTC= 0.5040306, Accumulated Leap Seconds=32 + { 2451404.50, 63.680524 }, //14 August 1999, UT1-UTC= 0.5034755, Accumulated Leap Seconds=32 + { 2451405.50, 63.681166 }, //15 August 1999, UT1-UTC= 0.5028335, Accumulated Leap Seconds=32 + { 2451406.50, 63.681849 }, //16 August 1999, UT1-UTC= 0.5021506, Accumulated Leap Seconds=32 + { 2451407.50, 63.682524 }, //17 August 1999, UT1-UTC= 0.5014756, Accumulated Leap Seconds=32 + { 2451408.50, 63.683133 }, //18 August 1999, UT1-UTC= 0.5008665, Accumulated Leap Seconds=32 + { 2451409.50, 63.683646 }, //19 August 1999, UT1-UTC= 0.5003538, Accumulated Leap Seconds=32 + { 2451410.50, 63.684050 }, //20 August 1999, UT1-UTC= 0.4999497, Accumulated Leap Seconds=32 + { 2451411.50, 63.684355 }, //21 August 1999, UT1-UTC= 0.4996446, Accumulated Leap Seconds=32 + { 2451412.50, 63.684624 }, //22 August 1999, UT1-UTC= 0.4993757, Accumulated Leap Seconds=32 + { 2451413.50, 63.684892 }, //23 August 1999, UT1-UTC= 0.4991079, Accumulated Leap Seconds=32 + { 2451414.50, 63.685187 }, //24 August 1999, UT1-UTC= 0.4988128, Accumulated Leap Seconds=32 + { 2451415.50, 63.685561 }, //25 August 1999, UT1-UTC= 0.4984385, Accumulated Leap Seconds=32 + { 2451416.50, 63.686111 }, //26 August 1999, UT1-UTC= 0.4978885, Accumulated Leap Seconds=32 + { 2451417.50, 63.686886 }, //27 August 1999, UT1-UTC= 0.4971141, Accumulated Leap Seconds=32 + { 2451418.50, 63.687863 }, //28 August 1999, UT1-UTC= 0.4961367, Accumulated Leap Seconds=32 + { 2451419.50, 63.688987 }, //29 August 1999, UT1-UTC= 0.4950132, Accumulated Leap Seconds=32 + { 2451420.50, 63.690205 }, //30 August 1999, UT1-UTC= 0.4937950, Accumulated Leap Seconds=32 + { 2451421.50, 63.691440 }, //31 August 1999, UT1-UTC= 0.4925597, Accumulated Leap Seconds=32 + { 2451422.50, 63.692603 }, //01 September 1999, UT1-UTC= 0.4913970, Accumulated Leap Seconds=32 + { 2451423.50, 63.693626 }, //02 September 1999, UT1-UTC= 0.4903736, Accumulated Leap Seconds=32 + { 2451424.50, 63.694504 }, //03 September 1999, UT1-UTC= 0.4894959, Accumulated Leap Seconds=32 + { 2451425.50, 63.695267 }, //04 September 1999, UT1-UTC= 0.4887330, Accumulated Leap Seconds=32 + { 2451426.50, 63.695958 }, //05 September 1999, UT1-UTC= 0.4880416, Accumulated Leap Seconds=32 + { 2451427.50, 63.696623 }, //06 September 1999, UT1-UTC= 0.4873767, Accumulated Leap Seconds=32 + { 2451428.50, 63.697298 }, //07 September 1999, UT1-UTC= 0.4867018, Accumulated Leap Seconds=32 + { 2451429.50, 63.698003 }, //08 September 1999, UT1-UTC= 0.4859969, Accumulated Leap Seconds=32 + { 2451430.50, 63.698741 }, //09 September 1999, UT1-UTC= 0.4852594, Accumulated Leap Seconds=32 + { 2451431.50, 63.699511 }, //10 September 1999, UT1-UTC= 0.4844892, Accumulated Leap Seconds=32 + { 2451432.50, 63.700296 }, //11 September 1999, UT1-UTC= 0.4837042, Accumulated Leap Seconds=32 + { 2451433.50, 63.701045 }, //12 September 1999, UT1-UTC= 0.4829547, Accumulated Leap Seconds=32 + { 2451434.50, 63.701728 }, //13 September 1999, UT1-UTC= 0.4822724, Accumulated Leap Seconds=32 + { 2451435.50, 63.702324 }, //14 September 1999, UT1-UTC= 0.4816757, Accumulated Leap Seconds=32 + { 2451436.50, 63.702820 }, //15 September 1999, UT1-UTC= 0.4811804, Accumulated Leap Seconds=32 + { 2451437.50, 63.703199 }, //16 September 1999, UT1-UTC= 0.4808012, Accumulated Leap Seconds=32 + { 2451438.50, 63.703493 }, //17 September 1999, UT1-UTC= 0.4805073, Accumulated Leap Seconds=32 + { 2451439.50, 63.703760 }, //18 September 1999, UT1-UTC= 0.4802400, Accumulated Leap Seconds=32 + { 2451440.50, 63.704063 }, //19 September 1999, UT1-UTC= 0.4799374, Accumulated Leap Seconds=32 + { 2451441.50, 63.704445 }, //20 September 1999, UT1-UTC= 0.4795551, Accumulated Leap Seconds=32 + { 2451442.50, 63.704963 }, //21 September 1999, UT1-UTC= 0.4790366, Accumulated Leap Seconds=32 + { 2451443.50, 63.705666 }, //22 September 1999, UT1-UTC= 0.4783341, Accumulated Leap Seconds=32 + { 2451444.50, 63.706553 }, //23 September 1999, UT1-UTC= 0.4774473, Accumulated Leap Seconds=32 + { 2451445.50, 63.707596 }, //24 September 1999, UT1-UTC= 0.4764040, Accumulated Leap Seconds=32 + { 2451446.50, 63.708732 }, //25 September 1999, UT1-UTC= 0.4752684, Accumulated Leap Seconds=32 + { 2451447.50, 63.709898 }, //26 September 1999, UT1-UTC= 0.4741016, Accumulated Leap Seconds=32 + { 2451448.50, 63.711061 }, //27 September 1999, UT1-UTC= 0.4729385, Accumulated Leap Seconds=32 + { 2451449.50, 63.712148 }, //28 September 1999, UT1-UTC= 0.4718520, Accumulated Leap Seconds=32 + { 2451450.50, 63.713108 }, //29 September 1999, UT1-UTC= 0.4708922, Accumulated Leap Seconds=32 + { 2451451.50, 63.713961 }, //30 September 1999, UT1-UTC= 0.4700389, Accumulated Leap Seconds=32 + { 2451452.50, 63.714707 }, //01 October 1999, UT1-UTC= 0.4692934, Accumulated Leap Seconds=32 + { 2451453.50, 63.715355 }, //02 October 1999, UT1-UTC= 0.4686452, Accumulated Leap Seconds=32 + { 2451454.50, 63.716011 }, //03 October 1999, UT1-UTC= 0.4679887, Accumulated Leap Seconds=32 + { 2451455.50, 63.716799 }, //04 October 1999, UT1-UTC= 0.4672008, Accumulated Leap Seconds=32 + { 2451456.50, 63.717751 }, //05 October 1999, UT1-UTC= 0.4662491, Accumulated Leap Seconds=32 + { 2451457.50, 63.718861 }, //06 October 1999, UT1-UTC= 0.4651385, Accumulated Leap Seconds=32 + { 2451458.50, 63.720103 }, //07 October 1999, UT1-UTC= 0.4638969, Accumulated Leap Seconds=32 + { 2451459.50, 63.721419 }, //08 October 1999, UT1-UTC= 0.4625806, Accumulated Leap Seconds=32 + { 2451460.50, 63.722768 }, //09 October 1999, UT1-UTC= 0.4612317, Accumulated Leap Seconds=32 + { 2451461.50, 63.724102 }, //10 October 1999, UT1-UTC= 0.4598978, Accumulated Leap Seconds=32 + { 2451462.50, 63.725364 }, //11 October 1999, UT1-UTC= 0.4586355, Accumulated Leap Seconds=32 + { 2451463.50, 63.726505 }, //12 October 1999, UT1-UTC= 0.4574952, Accumulated Leap Seconds=32 + { 2451464.50, 63.727525 }, //13 October 1999, UT1-UTC= 0.4564746, Accumulated Leap Seconds=32 + { 2451465.50, 63.728471 }, //14 October 1999, UT1-UTC= 0.4555292, Accumulated Leap Seconds=32 + { 2451466.50, 63.729327 }, //15 October 1999, UT1-UTC= 0.4546726, Accumulated Leap Seconds=32 + { 2451467.50, 63.730093 }, //16 October 1999, UT1-UTC= 0.4539074, Accumulated Leap Seconds=32 + { 2451468.50, 63.730818 }, //17 October 1999, UT1-UTC= 0.4531824, Accumulated Leap Seconds=32 + { 2451469.50, 63.731570 }, //18 October 1999, UT1-UTC= 0.4524298, Accumulated Leap Seconds=32 + { 2451470.50, 63.732408 }, //19 October 1999, UT1-UTC= 0.4515918, Accumulated Leap Seconds=32 + { 2451471.50, 63.733400 }, //20 October 1999, UT1-UTC= 0.4505998, Accumulated Leap Seconds=32 + { 2451472.50, 63.734631 }, //21 October 1999, UT1-UTC= 0.4493691, Accumulated Leap Seconds=32 + { 2451473.50, 63.736121 }, //22 October 1999, UT1-UTC= 0.4478794, Accumulated Leap Seconds=32 + { 2451474.50, 63.737835 }, //23 October 1999, UT1-UTC= 0.4461654, Accumulated Leap Seconds=32 + { 2451475.50, 63.739702 }, //24 October 1999, UT1-UTC= 0.4442978, Accumulated Leap Seconds=32 + { 2451476.50, 63.741620 }, //25 October 1999, UT1-UTC= 0.4423803, Accumulated Leap Seconds=32 + { 2451477.50, 63.743478 }, //26 October 1999, UT1-UTC= 0.4405215, Accumulated Leap Seconds=32 + { 2451478.50, 63.745194 }, //27 October 1999, UT1-UTC= 0.4388057, Accumulated Leap Seconds=32 + { 2451479.50, 63.746699 }, //28 October 1999, UT1-UTC= 0.4373007, Accumulated Leap Seconds=32 + { 2451480.50, 63.748032 }, //29 October 1999, UT1-UTC= 0.4359680, Accumulated Leap Seconds=32 + { 2451481.50, 63.749278 }, //30 October 1999, UT1-UTC= 0.4347220, Accumulated Leap Seconds=32 + { 2451482.50, 63.750518 }, //31 October 1999, UT1-UTC= 0.4334822, Accumulated Leap Seconds=32 + { 2451483.50, 63.751805 }, //01 November 1999, UT1-UTC= 0.4321945, Accumulated Leap Seconds=32 + { 2451484.50, 63.753160 }, //02 November 1999, UT1-UTC= 0.4308404, Accumulated Leap Seconds=32 + { 2451485.50, 63.754593 }, //03 November 1999, UT1-UTC= 0.4294067, Accumulated Leap Seconds=32 + { 2451486.50, 63.756098 }, //04 November 1999, UT1-UTC= 0.4279022, Accumulated Leap Seconds=32 + { 2451487.50, 63.757614 }, //05 November 1999, UT1-UTC= 0.4263864, Accumulated Leap Seconds=32 + { 2451488.50, 63.759106 }, //06 November 1999, UT1-UTC= 0.4248938, Accumulated Leap Seconds=32 + { 2451489.50, 63.760551 }, //07 November 1999, UT1-UTC= 0.4234493, Accumulated Leap Seconds=32 + { 2451490.50, 63.761918 }, //08 November 1999, UT1-UTC= 0.4220819, Accumulated Leap Seconds=32 + { 2451491.50, 63.763224 }, //09 November 1999, UT1-UTC= 0.4207760, Accumulated Leap Seconds=32 + { 2451492.50, 63.764483 }, //10 November 1999, UT1-UTC= 0.4195172, Accumulated Leap Seconds=32 + { 2451493.50, 63.765676 }, //11 November 1999, UT1-UTC= 0.4183245, Accumulated Leap Seconds=32 + { 2451494.50, 63.766803 }, //12 November 1999, UT1-UTC= 0.4171970, Accumulated Leap Seconds=32 + { 2451495.50, 63.767914 }, //13 November 1999, UT1-UTC= 0.4160858, Accumulated Leap Seconds=32 + { 2451496.50, 63.769086 }, //14 November 1999, UT1-UTC= 0.4149142, Accumulated Leap Seconds=32 + { 2451497.50, 63.770344 }, //15 November 1999, UT1-UTC= 0.4136561, Accumulated Leap Seconds=32 + { 2451498.50, 63.771684 }, //16 November 1999, UT1-UTC= 0.4123155, Accumulated Leap Seconds=32 + { 2451499.50, 63.773136 }, //17 November 1999, UT1-UTC= 0.4108637, Accumulated Leap Seconds=32 + { 2451500.50, 63.774751 }, //18 November 1999, UT1-UTC= 0.4092486, Accumulated Leap Seconds=32 + { 2451501.50, 63.776489 }, //19 November 1999, UT1-UTC= 0.4075114, Accumulated Leap Seconds=32 + { 2451502.50, 63.778295 }, //20 November 1999, UT1-UTC= 0.4057054, Accumulated Leap Seconds=32 + { 2451503.50, 63.780119 }, //21 November 1999, UT1-UTC= 0.4038815, Accumulated Leap Seconds=32 + { 2451504.50, 63.781863 }, //22 November 1999, UT1-UTC= 0.4021374, Accumulated Leap Seconds=32 + { 2451505.50, 63.783437 }, //23 November 1999, UT1-UTC= 0.4005630, Accumulated Leap Seconds=32 + { 2451506.50, 63.784801 }, //24 November 1999, UT1-UTC= 0.3991994, Accumulated Leap Seconds=32 + { 2451507.50, 63.785970 }, //25 November 1999, UT1-UTC= 0.3980295, Accumulated Leap Seconds=32 + { 2451508.50, 63.787000 }, //26 November 1999, UT1-UTC= 0.3970002, Accumulated Leap Seconds=32 + { 2451509.50, 63.787973 }, //27 November 1999, UT1-UTC= 0.3960273, Accumulated Leap Seconds=32 + { 2451510.50, 63.788979 }, //28 November 1999, UT1-UTC= 0.3950205, Accumulated Leap Seconds=32 + { 2451511.50, 63.790093 }, //29 November 1999, UT1-UTC= 0.3939067, Accumulated Leap Seconds=32 + { 2451512.50, 63.791350 }, //30 November 1999, UT1-UTC= 0.3926501, Accumulated Leap Seconds=32 + { 2451513.50, 63.792717 }, //01 December 1999, UT1-UTC= 0.3912830, Accumulated Leap Seconds=32 + { 2451514.50, 63.794098 }, //02 December 1999, UT1-UTC= 0.3899017, Accumulated Leap Seconds=32 + { 2451515.50, 63.795430 }, //03 December 1999, UT1-UTC= 0.3885700, Accumulated Leap Seconds=32 + { 2451516.50, 63.796681 }, //04 December 1999, UT1-UTC= 0.3873187, Accumulated Leap Seconds=32 + { 2451517.50, 63.797838 }, //05 December 1999, UT1-UTC= 0.3861617, Accumulated Leap Seconds=32 + { 2451518.50, 63.798892 }, //06 December 1999, UT1-UTC= 0.3851078, Accumulated Leap Seconds=32 + { 2451519.50, 63.799849 }, //07 December 1999, UT1-UTC= 0.3841514, Accumulated Leap Seconds=32 + { 2451520.50, 63.800713 }, //08 December 1999, UT1-UTC= 0.3832869, Accumulated Leap Seconds=32 + { 2451521.50, 63.801513 }, //09 December 1999, UT1-UTC= 0.3824869, Accumulated Leap Seconds=32 + { 2451522.50, 63.802308 }, //10 December 1999, UT1-UTC= 0.3816924, Accumulated Leap Seconds=32 + { 2451523.50, 63.803142 }, //11 December 1999, UT1-UTC= 0.3808583, Accumulated Leap Seconds=32 + { 2451524.50, 63.804039 }, //12 December 1999, UT1-UTC= 0.3799612, Accumulated Leap Seconds=32 + { 2451525.50, 63.804999 }, //13 December 1999, UT1-UTC= 0.3790014, Accumulated Leap Seconds=32 + { 2451526.50, 63.806071 }, //14 December 1999, UT1-UTC= 0.3779287, Accumulated Leap Seconds=32 + { 2451527.50, 63.807281 }, //15 December 1999, UT1-UTC= 0.3767190, Accumulated Leap Seconds=32 + { 2451528.50, 63.808609 }, //16 December 1999, UT1-UTC= 0.3753910, Accumulated Leap Seconds=32 + { 2451529.50, 63.810051 }, //17 December 1999, UT1-UTC= 0.3739490, Accumulated Leap Seconds=32 + { 2451530.50, 63.811572 }, //18 December 1999, UT1-UTC= 0.3724280, Accumulated Leap Seconds=32 + { 2451531.50, 63.813109 }, //19 December 1999, UT1-UTC= 0.3708914, Accumulated Leap Seconds=32 + { 2451532.50, 63.814582 }, //20 December 1999, UT1-UTC= 0.3694183, Accumulated Leap Seconds=32 + { 2451533.50, 63.815922 }, //21 December 1999, UT1-UTC= 0.3680781, Accumulated Leap Seconds=32 + { 2451534.50, 63.817101 }, //22 December 1999, UT1-UTC= 0.3668986, Accumulated Leap Seconds=32 + { 2451535.50, 63.818166 }, //23 December 1999, UT1-UTC= 0.3658344, Accumulated Leap Seconds=32 + { 2451536.50, 63.819187 }, //24 December 1999, UT1-UTC= 0.3648134, Accumulated Leap Seconds=32 + { 2451537.50, 63.820232 }, //25 December 1999, UT1-UTC= 0.3637676, Accumulated Leap Seconds=32 + { 2451538.50, 63.821358 }, //26 December 1999, UT1-UTC= 0.3626416, Accumulated Leap Seconds=32 + { 2451539.50, 63.822582 }, //27 December 1999, UT1-UTC= 0.3614176, Accumulated Leap Seconds=32 + { 2451540.50, 63.823880 }, //28 December 1999, UT1-UTC= 0.3601199, Accumulated Leap Seconds=32 + { 2451541.50, 63.825185 }, //29 December 1999, UT1-UTC= 0.3588150, Accumulated Leap Seconds=32 + { 2451542.50, 63.826418 }, //30 December 1999, UT1-UTC= 0.3575820, Accumulated Leap Seconds=32 + { 2451543.50, 63.827532 }, //31 December 1999, UT1-UTC= 0.3564680, Accumulated Leap Seconds=32 + { 2451544.50, 63.828522 }, //01 January 2000, UT1-UTC= 0.3554779, Accumulated Leap Seconds=32 + { 2451545.50, 63.829399 }, //02 January 2000, UT1-UTC= 0.3546013, Accumulated Leap Seconds=32 + { 2451546.50, 63.830149 }, //03 January 2000, UT1-UTC= 0.3538511, Accumulated Leap Seconds=32 + { 2451547.50, 63.830759 }, //04 January 2000, UT1-UTC= 0.3532407, Accumulated Leap Seconds=32 + { 2451548.50, 63.831242 }, //05 January 2000, UT1-UTC= 0.3527584, Accumulated Leap Seconds=32 + { 2451549.50, 63.831652 }, //06 January 2000, UT1-UTC= 0.3523478, Accumulated Leap Seconds=32 + { 2451550.50, 63.832047 }, //07 January 2000, UT1-UTC= 0.3519531, Accumulated Leap Seconds=32 + { 2451551.50, 63.832455 }, //08 January 2000, UT1-UTC= 0.3515451, Accumulated Leap Seconds=32 + { 2451552.50, 63.832899 }, //09 January 2000, UT1-UTC= 0.3511013, Accumulated Leap Seconds=32 + { 2451553.50, 63.833442 }, //10 January 2000, UT1-UTC= 0.3505581, Accumulated Leap Seconds=32 + { 2451554.50, 63.834116 }, //11 January 2000, UT1-UTC= 0.3498837, Accumulated Leap Seconds=32 + { 2451555.50, 63.834942 }, //12 January 2000, UT1-UTC= 0.3490579, Accumulated Leap Seconds=32 + { 2451556.50, 63.835921 }, //13 January 2000, UT1-UTC= 0.3480789, Accumulated Leap Seconds=32 + { 2451557.50, 63.837047 }, //14 January 2000, UT1-UTC= 0.3469530, Accumulated Leap Seconds=32 + { 2451558.50, 63.838247 }, //15 January 2000, UT1-UTC= 0.3457527, Accumulated Leap Seconds=32 + { 2451559.50, 63.839429 }, //16 January 2000, UT1-UTC= 0.3445709, Accumulated Leap Seconds=32 + { 2451560.50, 63.840521 }, //17 January 2000, UT1-UTC= 0.3434786, Accumulated Leap Seconds=32 + { 2451561.50, 63.841506 }, //18 January 2000, UT1-UTC= 0.3424942, Accumulated Leap Seconds=32 + { 2451562.50, 63.842399 }, //19 January 2000, UT1-UTC= 0.3416014, Accumulated Leap Seconds=32 + { 2451563.50, 63.843232 }, //20 January 2000, UT1-UTC= 0.3407681, Accumulated Leap Seconds=32 + { 2451564.50, 63.844076 }, //21 January 2000, UT1-UTC= 0.3399239, Accumulated Leap Seconds=32 + { 2451565.50, 63.844991 }, //22 January 2000, UT1-UTC= 0.3390087, Accumulated Leap Seconds=32 + { 2451566.50, 63.846021 }, //23 January 2000, UT1-UTC= 0.3379788, Accumulated Leap Seconds=32 + { 2451567.50, 63.847177 }, //24 January 2000, UT1-UTC= 0.3368230, Accumulated Leap Seconds=32 + { 2451568.50, 63.848435 }, //25 January 2000, UT1-UTC= 0.3355650, Accumulated Leap Seconds=32 + { 2451569.50, 63.849737 }, //26 January 2000, UT1-UTC= 0.3342630, Accumulated Leap Seconds=32 + { 2451570.50, 63.851029 }, //27 January 2000, UT1-UTC= 0.3329705, Accumulated Leap Seconds=32 + { 2451571.50, 63.852241 }, //28 January 2000, UT1-UTC= 0.3317595, Accumulated Leap Seconds=32 + { 2451572.50, 63.853306 }, //29 January 2000, UT1-UTC= 0.3306943, Accumulated Leap Seconds=32 + { 2451573.50, 63.854219 }, //30 January 2000, UT1-UTC= 0.3297810, Accumulated Leap Seconds=32 + { 2451574.50, 63.855003 }, //31 January 2000, UT1-UTC= 0.3289974, Accumulated Leap Seconds=32 + { 2451575.50, 63.855687 }, //01 February 2000, UT1-UTC= 0.3283129, Accumulated Leap Seconds=32 + { 2451576.50, 63.856297 }, //02 February 2000, UT1-UTC= 0.3277029, Accumulated Leap Seconds=32 + { 2451577.50, 63.856835 }, //03 February 2000, UT1-UTC= 0.3271651, Accumulated Leap Seconds=32 + { 2451578.50, 63.857331 }, //04 February 2000, UT1-UTC= 0.3266687, Accumulated Leap Seconds=32 + { 2451579.50, 63.857864 }, //05 February 2000, UT1-UTC= 0.3261358, Accumulated Leap Seconds=32 + { 2451580.50, 63.858512 }, //06 February 2000, UT1-UTC= 0.3254875, Accumulated Leap Seconds=32 + { 2451581.50, 63.859309 }, //07 February 2000, UT1-UTC= 0.3246905, Accumulated Leap Seconds=32 + { 2451582.50, 63.860277 }, //08 February 2000, UT1-UTC= 0.3237227, Accumulated Leap Seconds=32 + { 2451583.50, 63.861405 }, //09 February 2000, UT1-UTC= 0.3225948, Accumulated Leap Seconds=32 + { 2451584.50, 63.862630 }, //10 February 2000, UT1-UTC= 0.3213703, Accumulated Leap Seconds=32 + { 2451585.50, 63.863848 }, //11 February 2000, UT1-UTC= 0.3201523, Accumulated Leap Seconds=32 + { 2451586.50, 63.864950 }, //12 February 2000, UT1-UTC= 0.3190495, Accumulated Leap Seconds=32 + { 2451587.50, 63.865884 }, //13 February 2000, UT1-UTC= 0.3181164, Accumulated Leap Seconds=32 + { 2451588.50, 63.866677 }, //14 February 2000, UT1-UTC= 0.3173225, Accumulated Leap Seconds=32 + { 2451589.50, 63.867365 }, //15 February 2000, UT1-UTC= 0.3166345, Accumulated Leap Seconds=32 + { 2451590.50, 63.868007 }, //16 February 2000, UT1-UTC= 0.3159933, Accumulated Leap Seconds=32 + { 2451591.50, 63.868657 }, //17 February 2000, UT1-UTC= 0.3153425, Accumulated Leap Seconds=32 + { 2451592.50, 63.869368 }, //18 February 2000, UT1-UTC= 0.3146323, Accumulated Leap Seconds=32 + { 2451593.50, 63.870200 }, //19 February 2000, UT1-UTC= 0.3137999, Accumulated Leap Seconds=32 + { 2451594.50, 63.871212 }, //20 February 2000, UT1-UTC= 0.3127883, Accumulated Leap Seconds=32 + { 2451595.50, 63.872391 }, //21 February 2000, UT1-UTC= 0.3116093, Accumulated Leap Seconds=32 + { 2451596.50, 63.873647 }, //22 February 2000, UT1-UTC= 0.3103534, Accumulated Leap Seconds=32 + { 2451597.50, 63.874880 }, //23 February 2000, UT1-UTC= 0.3091197, Accumulated Leap Seconds=32 + { 2451598.50, 63.876024 }, //24 February 2000, UT1-UTC= 0.3079762, Accumulated Leap Seconds=32 + { 2451599.50, 63.877039 }, //25 February 2000, UT1-UTC= 0.3069611, Accumulated Leap Seconds=32 + { 2451600.50, 63.877909 }, //26 February 2000, UT1-UTC= 0.3060912, Accumulated Leap Seconds=32 + { 2451601.50, 63.878649 }, //27 February 2000, UT1-UTC= 0.3053514, Accumulated Leap Seconds=32 + { 2451602.50, 63.879289 }, //28 February 2000, UT1-UTC= 0.3047112, Accumulated Leap Seconds=32 + { 2451603.50, 63.879852 }, //29 February 2000, UT1-UTC= 0.3041475, Accumulated Leap Seconds=32 + { 2451604.50, 63.880385 }, //01 March 2000, UT1-UTC= 0.3036146, Accumulated Leap Seconds=32 + { 2451605.50, 63.880952 }, //02 March 2000, UT1-UTC= 0.3030484, Accumulated Leap Seconds=32 + { 2451606.50, 63.881587 }, //03 March 2000, UT1-UTC= 0.3024127, Accumulated Leap Seconds=32 + { 2451607.50, 63.882331 }, //04 March 2000, UT1-UTC= 0.3016694, Accumulated Leap Seconds=32 + { 2451608.50, 63.883226 }, //05 March 2000, UT1-UTC= 0.3007739, Accumulated Leap Seconds=32 + { 2451609.50, 63.884301 }, //06 March 2000, UT1-UTC= 0.2996988, Accumulated Leap Seconds=32 + { 2451610.50, 63.885543 }, //07 March 2000, UT1-UTC= 0.2984566, Accumulated Leap Seconds=32 + { 2451611.50, 63.886903 }, //08 March 2000, UT1-UTC= 0.2970966, Accumulated Leap Seconds=32 + { 2451612.50, 63.888303 }, //09 March 2000, UT1-UTC= 0.2956967, Accumulated Leap Seconds=32 + { 2451613.50, 63.889669 }, //10 March 2000, UT1-UTC= 0.2943311, Accumulated Leap Seconds=32 + { 2451614.50, 63.890941 }, //11 March 2000, UT1-UTC= 0.2930592, Accumulated Leap Seconds=32 + { 2451615.50, 63.892082 }, //12 March 2000, UT1-UTC= 0.2919176, Accumulated Leap Seconds=32 + { 2451616.50, 63.893078 }, //13 March 2000, UT1-UTC= 0.2909222, Accumulated Leap Seconds=32 + { 2451617.50, 63.893941 }, //14 March 2000, UT1-UTC= 0.2900590, Accumulated Leap Seconds=32 + { 2451618.50, 63.894719 }, //15 March 2000, UT1-UTC= 0.2892809, Accumulated Leap Seconds=32 + { 2451619.50, 63.895510 }, //16 March 2000, UT1-UTC= 0.2884896, Accumulated Leap Seconds=32 + { 2451620.50, 63.896367 }, //17 March 2000, UT1-UTC= 0.2876329, Accumulated Leap Seconds=32 + { 2451621.50, 63.897291 }, //18 March 2000, UT1-UTC= 0.2867091, Accumulated Leap Seconds=32 + { 2451622.50, 63.898265 }, //19 March 2000, UT1-UTC= 0.2857348, Accumulated Leap Seconds=32 + { 2451623.50, 63.899270 }, //20 March 2000, UT1-UTC= 0.2847302, Accumulated Leap Seconds=32 + { 2451624.50, 63.900308 }, //21 March 2000, UT1-UTC= 0.2836923, Accumulated Leap Seconds=32 + { 2451625.50, 63.901365 }, //22 March 2000, UT1-UTC= 0.2826350, Accumulated Leap Seconds=32 + { 2451626.50, 63.902381 }, //23 March 2000, UT1-UTC= 0.2816194, Accumulated Leap Seconds=32 + { 2451627.50, 63.903281 }, //24 March 2000, UT1-UTC= 0.2807193, Accumulated Leap Seconds=32 + { 2451628.50, 63.904037 }, //25 March 2000, UT1-UTC= 0.2799627, Accumulated Leap Seconds=32 + { 2451629.50, 63.904646 }, //26 March 2000, UT1-UTC= 0.2793535, Accumulated Leap Seconds=32 + { 2451630.50, 63.905110 }, //27 March 2000, UT1-UTC= 0.2788899, Accumulated Leap Seconds=32 + { 2451631.50, 63.905507 }, //28 March 2000, UT1-UTC= 0.2784925, Accumulated Leap Seconds=32 + { 2451632.50, 63.905906 }, //29 March 2000, UT1-UTC= 0.2780937, Accumulated Leap Seconds=32 + { 2451633.50, 63.906327 }, //30 March 2000, UT1-UTC= 0.2776725, Accumulated Leap Seconds=32 + { 2451634.50, 63.906834 }, //31 March 2000, UT1-UTC= 0.2771664, Accumulated Leap Seconds=32 + { 2451635.50, 63.907502 }, //01 April 2000, UT1-UTC= 0.2764975, Accumulated Leap Seconds=32 + { 2451636.50, 63.908382 }, //02 April 2000, UT1-UTC= 0.2756181, Accumulated Leap Seconds=32 + { 2451637.50, 63.909468 }, //03 April 2000, UT1-UTC= 0.2745324, Accumulated Leap Seconds=32 + { 2451638.50, 63.910718 }, //04 April 2000, UT1-UTC= 0.2732821, Accumulated Leap Seconds=32 + { 2451639.50, 63.912055 }, //05 April 2000, UT1-UTC= 0.2719447, Accumulated Leap Seconds=32 + { 2451640.50, 63.913370 }, //06 April 2000, UT1-UTC= 0.2706298, Accumulated Leap Seconds=32 + { 2451641.50, 63.914581 }, //07 April 2000, UT1-UTC= 0.2694194, Accumulated Leap Seconds=32 + { 2451642.50, 63.915654 }, //08 April 2000, UT1-UTC= 0.2683463, Accumulated Leap Seconds=32 + { 2451643.50, 63.916588 }, //09 April 2000, UT1-UTC= 0.2674115, Accumulated Leap Seconds=32 + { 2451644.50, 63.917419 }, //10 April 2000, UT1-UTC= 0.2665807, Accumulated Leap Seconds=32 + { 2451645.50, 63.918212 }, //11 April 2000, UT1-UTC= 0.2657881, Accumulated Leap Seconds=32 + { 2451646.50, 63.919041 }, //12 April 2000, UT1-UTC= 0.2649589, Accumulated Leap Seconds=32 + { 2451647.50, 63.919970 }, //13 April 2000, UT1-UTC= 0.2640299, Accumulated Leap Seconds=32 + { 2451648.50, 63.921044 }, //14 April 2000, UT1-UTC= 0.2629560, Accumulated Leap Seconds=32 + { 2451649.50, 63.922281 }, //15 April 2000, UT1-UTC= 0.2617192, Accumulated Leap Seconds=32 + { 2451650.50, 63.923657 }, //16 April 2000, UT1-UTC= 0.2603431, Accumulated Leap Seconds=32 + { 2451651.50, 63.925116 }, //17 April 2000, UT1-UTC= 0.2588842, Accumulated Leap Seconds=32 + { 2451652.50, 63.926575 }, //18 April 2000, UT1-UTC= 0.2574245, Accumulated Leap Seconds=32 + { 2451653.50, 63.927964 }, //19 April 2000, UT1-UTC= 0.2560356, Accumulated Leap Seconds=32 + { 2451654.50, 63.929236 }, //20 April 2000, UT1-UTC= 0.2547639, Accumulated Leap Seconds=32 + { 2451655.50, 63.930391 }, //21 April 2000, UT1-UTC= 0.2536094, Accumulated Leap Seconds=32 + { 2451656.50, 63.931425 }, //22 April 2000, UT1-UTC= 0.2525748, Accumulated Leap Seconds=32 + { 2451657.50, 63.932324 }, //23 April 2000, UT1-UTC= 0.2516761, Accumulated Leap Seconds=32 + { 2451658.50, 63.933093 }, //24 April 2000, UT1-UTC= 0.2509068, Accumulated Leap Seconds=32 + { 2451659.50, 63.933764 }, //25 April 2000, UT1-UTC= 0.2502359, Accumulated Leap Seconds=32 + { 2451660.50, 63.934387 }, //26 April 2000, UT1-UTC= 0.2496127, Accumulated Leap Seconds=32 + { 2451661.50, 63.935040 }, //27 April 2000, UT1-UTC= 0.2489595, Accumulated Leap Seconds=32 + { 2451662.50, 63.935818 }, //28 April 2000, UT1-UTC= 0.2481815, Accumulated Leap Seconds=32 + { 2451663.50, 63.936785 }, //29 April 2000, UT1-UTC= 0.2472151, Accumulated Leap Seconds=32 + { 2451664.50, 63.937948 }, //30 April 2000, UT1-UTC= 0.2460516, Accumulated Leap Seconds=32 + { 2451665.50, 63.939279 }, //01 May 2000, UT1-UTC= 0.2447213, Accumulated Leap Seconds=32 + { 2451666.50, 63.940740 }, //02 May 2000, UT1-UTC= 0.2432598, Accumulated Leap Seconds=32 + { 2451667.50, 63.942255 }, //03 May 2000, UT1-UTC= 0.2417452, Accumulated Leap Seconds=32 + { 2451668.50, 63.943745 }, //04 May 2000, UT1-UTC= 0.2402546, Accumulated Leap Seconds=32 + { 2451669.50, 63.945115 }, //05 May 2000, UT1-UTC= 0.2388845, Accumulated Leap Seconds=32 + { 2451670.50, 63.946300 }, //06 May 2000, UT1-UTC= 0.2376998, Accumulated Leap Seconds=32 + { 2451671.50, 63.947311 }, //07 May 2000, UT1-UTC= 0.2366889, Accumulated Leap Seconds=32 + { 2451672.50, 63.948204 }, //08 May 2000, UT1-UTC= 0.2357958, Accumulated Leap Seconds=32 + { 2451673.50, 63.949057 }, //09 May 2000, UT1-UTC= 0.2349430, Accumulated Leap Seconds=32 + { 2451674.50, 63.949951 }, //10 May 2000, UT1-UTC= 0.2340491, Accumulated Leap Seconds=32 + { 2451675.50, 63.950963 }, //11 May 2000, UT1-UTC= 0.2330370, Accumulated Leap Seconds=32 + { 2451676.50, 63.952084 }, //12 May 2000, UT1-UTC= 0.2319156, Accumulated Leap Seconds=32 + { 2451677.50, 63.953294 }, //13 May 2000, UT1-UTC= 0.2307060, Accumulated Leap Seconds=32 + { 2451678.50, 63.954559 }, //14 May 2000, UT1-UTC= 0.2294409, Accumulated Leap Seconds=32 + { 2451679.50, 63.955827 }, //15 May 2000, UT1-UTC= 0.2281735, Accumulated Leap Seconds=32 + { 2451680.50, 63.957025 }, //16 May 2000, UT1-UTC= 0.2269746, Accumulated Leap Seconds=32 + { 2451681.50, 63.958113 }, //17 May 2000, UT1-UTC= 0.2258874, Accumulated Leap Seconds=32 + { 2451682.50, 63.959102 }, //18 May 2000, UT1-UTC= 0.2248976, Accumulated Leap Seconds=32 + { 2451683.50, 63.959976 }, //19 May 2000, UT1-UTC= 0.2240242, Accumulated Leap Seconds=32 + { 2451684.50, 63.960715 }, //20 May 2000, UT1-UTC= 0.2232846, Accumulated Leap Seconds=32 + { 2451685.50, 63.961332 }, //21 May 2000, UT1-UTC= 0.2226679, Accumulated Leap Seconds=32 + { 2451686.50, 63.961864 }, //22 May 2000, UT1-UTC= 0.2221362, Accumulated Leap Seconds=32 + { 2451687.50, 63.962365 }, //23 May 2000, UT1-UTC= 0.2216349, Accumulated Leap Seconds=32 + { 2451688.50, 63.962883 }, //24 May 2000, UT1-UTC= 0.2211173, Accumulated Leap Seconds=32 + { 2451689.50, 63.963430 }, //25 May 2000, UT1-UTC= 0.2205696, Accumulated Leap Seconds=32 + { 2451690.50, 63.964028 }, //26 May 2000, UT1-UTC= 0.2199716, Accumulated Leap Seconds=32 + { 2451691.50, 63.964701 }, //27 May 2000, UT1-UTC= 0.2192988, Accumulated Leap Seconds=32 + { 2451692.50, 63.965472 }, //28 May 2000, UT1-UTC= 0.2185279, Accumulated Leap Seconds=32 + { 2451693.50, 63.966340 }, //29 May 2000, UT1-UTC= 0.2176599, Accumulated Leap Seconds=32 + { 2451694.50, 63.967271 }, //30 May 2000, UT1-UTC= 0.2167292, Accumulated Leap Seconds=32 + { 2451695.50, 63.968207 }, //31 May 2000, UT1-UTC= 0.2157935, Accumulated Leap Seconds=32 + { 2451696.50, 63.969074 }, //01 June 2000, UT1-UTC= 0.2149256, Accumulated Leap Seconds=32 + { 2451697.50, 63.969819 }, //02 June 2000, UT1-UTC= 0.2141808, Accumulated Leap Seconds=32 + { 2451698.50, 63.970424 }, //03 June 2000, UT1-UTC= 0.2135763, Accumulated Leap Seconds=32 + { 2451699.50, 63.970911 }, //04 June 2000, UT1-UTC= 0.2130893, Accumulated Leap Seconds=32 + { 2451700.50, 63.971342 }, //05 June 2000, UT1-UTC= 0.2126575, Accumulated Leap Seconds=32 + { 2451701.50, 63.971821 }, //06 June 2000, UT1-UTC= 0.2121793, Accumulated Leap Seconds=32 + { 2451702.50, 63.972415 }, //07 June 2000, UT1-UTC= 0.2115854, Accumulated Leap Seconds=32 + { 2451703.50, 63.973164 }, //08 June 2000, UT1-UTC= 0.2108364, Accumulated Leap Seconds=32 + { 2451704.50, 63.974038 }, //09 June 2000, UT1-UTC= 0.2099624, Accumulated Leap Seconds=32 + { 2451705.50, 63.974960 }, //10 June 2000, UT1-UTC= 0.2090401, Accumulated Leap Seconds=32 + { 2451706.50, 63.975848 }, //11 June 2000, UT1-UTC= 0.2081524, Accumulated Leap Seconds=32 + { 2451707.50, 63.976639 }, //12 June 2000, UT1-UTC= 0.2073608, Accumulated Leap Seconds=32 + { 2451708.50, 63.977285 }, //13 June 2000, UT1-UTC= 0.2067150, Accumulated Leap Seconds=32 + { 2451709.50, 63.977742 }, //14 June 2000, UT1-UTC= 0.2062577, Accumulated Leap Seconds=32 + { 2451710.50, 63.977989 }, //15 June 2000, UT1-UTC= 0.2060111, Accumulated Leap Seconds=32 + { 2451711.50, 63.978038 }, //16 June 2000, UT1-UTC= 0.2059622, Accumulated Leap Seconds=32 + { 2451712.50, 63.977945 }, //17 June 2000, UT1-UTC= 0.2060551, Accumulated Leap Seconds=32 + { 2451713.50, 63.977778 }, //18 June 2000, UT1-UTC= 0.2062217, Accumulated Leap Seconds=32 + { 2451714.50, 63.977584 }, //19 June 2000, UT1-UTC= 0.2064164, Accumulated Leap Seconds=32 + { 2451715.50, 63.977404 }, //20 June 2000, UT1-UTC= 0.2065961, Accumulated Leap Seconds=32 + { 2451716.50, 63.977291 }, //21 June 2000, UT1-UTC= 0.2067086, Accumulated Leap Seconds=32 + { 2451717.50, 63.977290 }, //22 June 2000, UT1-UTC= 0.2067104, Accumulated Leap Seconds=32 + { 2451718.50, 63.977395 }, //23 June 2000, UT1-UTC= 0.2066051, Accumulated Leap Seconds=32 + { 2451719.50, 63.977595 }, //24 June 2000, UT1-UTC= 0.2064052, Accumulated Leap Seconds=32 + { 2451720.50, 63.977890 }, //25 June 2000, UT1-UTC= 0.2061103, Accumulated Leap Seconds=32 + { 2451721.50, 63.978276 }, //26 June 2000, UT1-UTC= 0.2057241, Accumulated Leap Seconds=32 + { 2451722.50, 63.978711 }, //27 June 2000, UT1-UTC= 0.2052886, Accumulated Leap Seconds=32 + { 2451723.50, 63.979148 }, //28 June 2000, UT1-UTC= 0.2048518, Accumulated Leap Seconds=32 + { 2451724.50, 63.979518 }, //29 June 2000, UT1-UTC= 0.2044819, Accumulated Leap Seconds=32 + { 2451725.50, 63.979759 }, //30 June 2000, UT1-UTC= 0.2042407, Accumulated Leap Seconds=32 + { 2451726.50, 63.979860 }, //01 July 2000, UT1-UTC= 0.2041396, Accumulated Leap Seconds=32 + { 2451727.50, 63.979873 }, //02 July 2000, UT1-UTC= 0.2041269, Accumulated Leap Seconds=32 + { 2451728.50, 63.979898 }, //03 July 2000, UT1-UTC= 0.2041020, Accumulated Leap Seconds=32 + { 2451729.50, 63.980033 }, //04 July 2000, UT1-UTC= 0.2039671, Accumulated Leap Seconds=32 + { 2451730.50, 63.980336 }, //05 July 2000, UT1-UTC= 0.2036636, Accumulated Leap Seconds=32 + { 2451731.50, 63.980814 }, //06 July 2000, UT1-UTC= 0.2031858, Accumulated Leap Seconds=32 + { 2451732.50, 63.981428 }, //07 July 2000, UT1-UTC= 0.2025722, Accumulated Leap Seconds=32 + { 2451733.50, 63.982093 }, //08 July 2000, UT1-UTC= 0.2019067, Accumulated Leap Seconds=32 + { 2451734.50, 63.982732 }, //09 July 2000, UT1-UTC= 0.2012677, Accumulated Leap Seconds=32 + { 2451735.50, 63.983293 }, //10 July 2000, UT1-UTC= 0.2007068, Accumulated Leap Seconds=32 + { 2451736.50, 63.983745 }, //11 July 2000, UT1-UTC= 0.2002548, Accumulated Leap Seconds=32 + { 2451737.50, 63.984085 }, //12 July 2000, UT1-UTC= 0.1999154, Accumulated Leap Seconds=32 + { 2451738.50, 63.984294 }, //13 July 2000, UT1-UTC= 0.1997056, Accumulated Leap Seconds=32 + { 2451739.50, 63.984386 }, //14 July 2000, UT1-UTC= 0.1996141, Accumulated Leap Seconds=32 + { 2451740.50, 63.984360 }, //15 July 2000, UT1-UTC= 0.1996400, Accumulated Leap Seconds=32 + { 2451741.50, 63.984229 }, //16 July 2000, UT1-UTC= 0.1997705, Accumulated Leap Seconds=32 + { 2451742.50, 63.984046 }, //17 July 2000, UT1-UTC= 0.1999541, Accumulated Leap Seconds=32 + { 2451743.50, 63.983851 }, //18 July 2000, UT1-UTC= 0.2001486, Accumulated Leap Seconds=32 + { 2451744.50, 63.983677 }, //19 July 2000, UT1-UTC= 0.2003232, Accumulated Leap Seconds=32 + { 2451745.50, 63.983548 }, //20 July 2000, UT1-UTC= 0.2004517, Accumulated Leap Seconds=32 + { 2451746.50, 63.983468 }, //21 July 2000, UT1-UTC= 0.2005316, Accumulated Leap Seconds=32 + { 2451747.50, 63.983434 }, //22 July 2000, UT1-UTC= 0.2005659, Accumulated Leap Seconds=32 + { 2451748.50, 63.983460 }, //23 July 2000, UT1-UTC= 0.2005401, Accumulated Leap Seconds=32 + { 2451749.50, 63.983537 }, //24 July 2000, UT1-UTC= 0.2004625, Accumulated Leap Seconds=32 + { 2451750.50, 63.983633 }, //25 July 2000, UT1-UTC= 0.2003671, Accumulated Leap Seconds=32 + { 2451751.50, 63.983709 }, //26 July 2000, UT1-UTC= 0.2002905, Accumulated Leap Seconds=32 + { 2451752.50, 63.983724 }, //27 July 2000, UT1-UTC= 0.2002763, Accumulated Leap Seconds=32 + { 2451753.50, 63.983650 }, //28 July 2000, UT1-UTC= 0.2003495, Accumulated Leap Seconds=32 + { 2451754.50, 63.983503 }, //29 July 2000, UT1-UTC= 0.2004970, Accumulated Leap Seconds=32 + { 2451755.50, 63.983341 }, //30 July 2000, UT1-UTC= 0.2006586, Accumulated Leap Seconds=32 + { 2451756.50, 63.983253 }, //31 July 2000, UT1-UTC= 0.2007471, Accumulated Leap Seconds=32 + { 2451757.50, 63.983308 }, //01 August 2000, UT1-UTC= 0.2006923, Accumulated Leap Seconds=32 + { 2451758.50, 63.983527 }, //02 August 2000, UT1-UTC= 0.2004733, Accumulated Leap Seconds=32 + { 2451759.50, 63.983876 }, //03 August 2000, UT1-UTC= 0.2001244, Accumulated Leap Seconds=32 + { 2451760.50, 63.984281 }, //04 August 2000, UT1-UTC= 0.1997185, Accumulated Leap Seconds=32 + { 2451761.50, 63.984670 }, //05 August 2000, UT1-UTC= 0.1993296, Accumulated Leap Seconds=32 + { 2451762.50, 63.984979 }, //06 August 2000, UT1-UTC= 0.1990213, Accumulated Leap Seconds=32 + { 2451763.50, 63.985162 }, //07 August 2000, UT1-UTC= 0.1988380, Accumulated Leap Seconds=32 + { 2451764.50, 63.985201 }, //08 August 2000, UT1-UTC= 0.1987994, Accumulated Leap Seconds=32 + { 2451765.50, 63.985102 }, //09 August 2000, UT1-UTC= 0.1988978, Accumulated Leap Seconds=32 + { 2451766.50, 63.984911 }, //10 August 2000, UT1-UTC= 0.1990886, Accumulated Leap Seconds=32 + { 2451767.50, 63.984671 }, //11 August 2000, UT1-UTC= 0.1993289, Accumulated Leap Seconds=32 + { 2451768.50, 63.984421 }, //12 August 2000, UT1-UTC= 0.1995786, Accumulated Leap Seconds=32 + { 2451769.50, 63.984203 }, //13 August 2000, UT1-UTC= 0.1997968, Accumulated Leap Seconds=32 + { 2451770.50, 63.984054 }, //14 August 2000, UT1-UTC= 0.1999461, Accumulated Leap Seconds=32 + { 2451771.50, 63.984008 }, //15 August 2000, UT1-UTC= 0.1999916, Accumulated Leap Seconds=32 + { 2451772.50, 63.984097 }, //16 August 2000, UT1-UTC= 0.1999027, Accumulated Leap Seconds=32 + { 2451773.50, 63.984354 }, //17 August 2000, UT1-UTC= 0.1996462, Accumulated Leap Seconds=32 + { 2451774.50, 63.984776 }, //18 August 2000, UT1-UTC= 0.1992241, Accumulated Leap Seconds=32 + { 2451775.50, 63.985330 }, //19 August 2000, UT1-UTC= 0.1986702, Accumulated Leap Seconds=32 + { 2451776.50, 63.985972 }, //20 August 2000, UT1-UTC= 0.1980283, Accumulated Leap Seconds=32 + { 2451777.50, 63.986652 }, //21 August 2000, UT1-UTC= 0.1973479, Accumulated Leap Seconds=32 + { 2451778.50, 63.987321 }, //22 August 2000, UT1-UTC= 0.1966790, Accumulated Leap Seconds=32 + { 2451779.50, 63.987937 }, //23 August 2000, UT1-UTC= 0.1960633, Accumulated Leap Seconds=32 + { 2451780.50, 63.988480 }, //24 August 2000, UT1-UTC= 0.1955199, Accumulated Leap Seconds=32 + { 2451781.50, 63.988926 }, //25 August 2000, UT1-UTC= 0.1950741, Accumulated Leap Seconds=32 + { 2451782.50, 63.989322 }, //26 August 2000, UT1-UTC= 0.1946783, Accumulated Leap Seconds=32 + { 2451783.50, 63.989759 }, //27 August 2000, UT1-UTC= 0.1942415, Accumulated Leap Seconds=32 + { 2451784.50, 63.990311 }, //28 August 2000, UT1-UTC= 0.1936888, Accumulated Leap Seconds=32 + { 2451785.50, 63.991025 }, //29 August 2000, UT1-UTC= 0.1929748, Accumulated Leap Seconds=32 + { 2451786.50, 63.991893 }, //30 August 2000, UT1-UTC= 0.1921072, Accumulated Leap Seconds=32 + { 2451787.50, 63.992847 }, //31 August 2000, UT1-UTC= 0.1911533, Accumulated Leap Seconds=32 + { 2451788.50, 63.993801 }, //01 September 2000, UT1-UTC= 0.1901989, Accumulated Leap Seconds=32 + { 2451789.50, 63.994674 }, //02 September 2000, UT1-UTC= 0.1893256, Accumulated Leap Seconds=32 + { 2451790.50, 63.995408 }, //03 September 2000, UT1-UTC= 0.1885919, Accumulated Leap Seconds=32 + { 2451791.50, 63.995973 }, //04 September 2000, UT1-UTC= 0.1880273, Accumulated Leap Seconds=32 + { 2451792.50, 63.996365 }, //05 September 2000, UT1-UTC= 0.1876349, Accumulated Leap Seconds=32 + { 2451793.50, 63.996597 }, //06 September 2000, UT1-UTC= 0.1874028, Accumulated Leap Seconds=32 + { 2451794.50, 63.996690 }, //07 September 2000, UT1-UTC= 0.1873098, Accumulated Leap Seconds=32 + { 2451795.50, 63.996678 }, //08 September 2000, UT1-UTC= 0.1873223, Accumulated Leap Seconds=32 + { 2451796.50, 63.996614 }, //09 September 2000, UT1-UTC= 0.1873861, Accumulated Leap Seconds=32 + { 2451797.50, 63.996573 }, //10 September 2000, UT1-UTC= 0.1874266, Accumulated Leap Seconds=32 + { 2451798.50, 63.996599 }, //11 September 2000, UT1-UTC= 0.1874013, Accumulated Leap Seconds=32 + { 2451799.50, 63.996713 }, //12 September 2000, UT1-UTC= 0.1872869, Accumulated Leap Seconds=32 + { 2451800.50, 63.996950 }, //13 September 2000, UT1-UTC= 0.1870496, Accumulated Leap Seconds=32 + { 2451801.50, 63.997363 }, //14 September 2000, UT1-UTC= 0.1866365, Accumulated Leap Seconds=32 + { 2451802.50, 63.997945 }, //15 September 2000, UT1-UTC= 0.1860550, Accumulated Leap Seconds=32 + { 2451803.50, 63.998644 }, //16 September 2000, UT1-UTC= 0.1853555, Accumulated Leap Seconds=32 + { 2451804.50, 63.999376 }, //17 September 2000, UT1-UTC= 0.1846236, Accumulated Leap Seconds=32 + { 2451805.50, 64.000062 }, //18 September 2000, UT1-UTC= 0.1839384, Accumulated Leap Seconds=32 + { 2451806.50, 64.000642 }, //19 September 2000, UT1-UTC= 0.1833584, Accumulated Leap Seconds=32 + { 2451807.50, 64.001104 }, //20 September 2000, UT1-UTC= 0.1828959, Accumulated Leap Seconds=32 + { 2451808.50, 64.001499 }, //21 September 2000, UT1-UTC= 0.1825005, Accumulated Leap Seconds=32 + { 2451809.50, 64.001857 }, //22 September 2000, UT1-UTC= 0.1821426, Accumulated Leap Seconds=32 + { 2451810.50, 64.002237 }, //23 September 2000, UT1-UTC= 0.1817630, Accumulated Leap Seconds=32 + { 2451811.50, 64.002705 }, //24 September 2000, UT1-UTC= 0.1812951, Accumulated Leap Seconds=32 + { 2451812.50, 64.003325 }, //25 September 2000, UT1-UTC= 0.1806746, Accumulated Leap Seconds=32 + { 2451813.50, 64.004137 }, //26 September 2000, UT1-UTC= 0.1798634, Accumulated Leap Seconds=32 + { 2451814.50, 64.005124 }, //27 September 2000, UT1-UTC= 0.1788756, Accumulated Leap Seconds=32 + { 2451815.50, 64.006234 }, //28 September 2000, UT1-UTC= 0.1777662, Accumulated Leap Seconds=32 + { 2451816.50, 64.007366 }, //29 September 2000, UT1-UTC= 0.1766344, Accumulated Leap Seconds=32 + { 2451817.50, 64.008423 }, //30 September 2000, UT1-UTC= 0.1755771, Accumulated Leap Seconds=32 + { 2451818.50, 64.009338 }, //01 October 2000, UT1-UTC= 0.1746616, Accumulated Leap Seconds=32 + { 2451819.50, 64.010068 }, //02 October 2000, UT1-UTC= 0.1739322, Accumulated Leap Seconds=32 + { 2451820.50, 64.010595 }, //03 October 2000, UT1-UTC= 0.1734054, Accumulated Leap Seconds=32 + { 2451821.50, 64.010940 }, //04 October 2000, UT1-UTC= 0.1730604, Accumulated Leap Seconds=32 + { 2451822.50, 64.011181 }, //05 October 2000, UT1-UTC= 0.1728192, Accumulated Leap Seconds=32 + { 2451823.50, 64.011408 }, //06 October 2000, UT1-UTC= 0.1725918, Accumulated Leap Seconds=32 + { 2451824.50, 64.011699 }, //07 October 2000, UT1-UTC= 0.1723008, Accumulated Leap Seconds=32 + { 2451825.50, 64.012114 }, //08 October 2000, UT1-UTC= 0.1718859, Accumulated Leap Seconds=32 + { 2451826.50, 64.012692 }, //09 October 2000, UT1-UTC= 0.1713077, Accumulated Leap Seconds=32 + { 2451827.50, 64.013455 }, //10 October 2000, UT1-UTC= 0.1705445, Accumulated Leap Seconds=32 + { 2451828.50, 64.014409 }, //11 October 2000, UT1-UTC= 0.1695914, Accumulated Leap Seconds=32 + { 2451829.50, 64.015527 }, //12 October 2000, UT1-UTC= 0.1684726, Accumulated Leap Seconds=32 + { 2451830.50, 64.016771 }, //13 October 2000, UT1-UTC= 0.1672293, Accumulated Leap Seconds=32 + { 2451831.50, 64.018084 }, //14 October 2000, UT1-UTC= 0.1659165, Accumulated Leap Seconds=32 + { 2451832.50, 64.019400 }, //15 October 2000, UT1-UTC= 0.1646002, Accumulated Leap Seconds=32 + { 2451833.50, 64.020654 }, //16 October 2000, UT1-UTC= 0.1633460, Accumulated Leap Seconds=32 + { 2451834.50, 64.021799 }, //17 October 2000, UT1-UTC= 0.1622008, Accumulated Leap Seconds=32 + { 2451835.50, 64.022826 }, //18 October 2000, UT1-UTC= 0.1611743, Accumulated Leap Seconds=32 + { 2451836.50, 64.023778 }, //19 October 2000, UT1-UTC= 0.1602224, Accumulated Leap Seconds=32 + { 2451837.50, 64.024698 }, //20 October 2000, UT1-UTC= 0.1593019, Accumulated Leap Seconds=32 + { 2451838.50, 64.025663 }, //21 October 2000, UT1-UTC= 0.1583373, Accumulated Leap Seconds=32 + { 2451839.50, 64.026751 }, //22 October 2000, UT1-UTC= 0.1572489, Accumulated Leap Seconds=32 + { 2451840.50, 64.028003 }, //23 October 2000, UT1-UTC= 0.1559969, Accumulated Leap Seconds=32 + { 2451841.50, 64.029416 }, //24 October 2000, UT1-UTC= 0.1545842, Accumulated Leap Seconds=32 + { 2451842.50, 64.030949 }, //25 October 2000, UT1-UTC= 0.1530514, Accumulated Leap Seconds=32 + { 2451843.50, 64.032531 }, //26 October 2000, UT1-UTC= 0.1514687, Accumulated Leap Seconds=32 + { 2451844.50, 64.034086 }, //27 October 2000, UT1-UTC= 0.1499145, Accumulated Leap Seconds=32 + { 2451845.50, 64.035542 }, //28 October 2000, UT1-UTC= 0.1484579, Accumulated Leap Seconds=32 + { 2451846.50, 64.036858 }, //29 October 2000, UT1-UTC= 0.1471418, Accumulated Leap Seconds=32 + { 2451847.50, 64.038025 }, //30 October 2000, UT1-UTC= 0.1459752, Accumulated Leap Seconds=32 + { 2451848.50, 64.039052 }, //31 October 2000, UT1-UTC= 0.1449482, Accumulated Leap Seconds=32 + { 2451849.50, 64.039962 }, //01 November 2000, UT1-UTC= 0.1440379, Accumulated Leap Seconds=32 + { 2451850.50, 64.040775 }, //02 November 2000, UT1-UTC= 0.1432245, Accumulated Leap Seconds=32 + { 2451851.50, 64.041579 }, //03 November 2000, UT1-UTC= 0.1424206, Accumulated Leap Seconds=32 + { 2451852.50, 64.042422 }, //04 November 2000, UT1-UTC= 0.1415779, Accumulated Leap Seconds=32 + { 2451853.50, 64.043321 }, //05 November 2000, UT1-UTC= 0.1406790, Accumulated Leap Seconds=32 + { 2451854.50, 64.044298 }, //06 November 2000, UT1-UTC= 0.1397020, Accumulated Leap Seconds=32 + { 2451855.50, 64.045369 }, //07 November 2000, UT1-UTC= 0.1386307, Accumulated Leap Seconds=32 + { 2451856.50, 64.046544 }, //08 November 2000, UT1-UTC= 0.1374558, Accumulated Leap Seconds=32 + { 2451857.50, 64.047821 }, //09 November 2000, UT1-UTC= 0.1361794, Accumulated Leap Seconds=32 + { 2451858.50, 64.049159 }, //10 November 2000, UT1-UTC= 0.1348407, Accumulated Leap Seconds=32 + { 2451859.50, 64.050489 }, //11 November 2000, UT1-UTC= 0.1335115, Accumulated Leap Seconds=32 + { 2451860.50, 64.051718 }, //12 November 2000, UT1-UTC= 0.1322815, Accumulated Leap Seconds=32 + { 2451861.50, 64.052771 }, //13 November 2000, UT1-UTC= 0.1312288, Accumulated Leap Seconds=32 + { 2451862.50, 64.053620 }, //14 November 2000, UT1-UTC= 0.1303795, Accumulated Leap Seconds=32 + { 2451863.50, 64.054312 }, //15 November 2000, UT1-UTC= 0.1296880, Accumulated Leap Seconds=32 + { 2451864.50, 64.054925 }, //16 November 2000, UT1-UTC= 0.1290752, Accumulated Leap Seconds=32 + { 2451865.50, 64.055533 }, //17 November 2000, UT1-UTC= 0.1284673, Accumulated Leap Seconds=32 + { 2451866.50, 64.056220 }, //18 November 2000, UT1-UTC= 0.1277803, Accumulated Leap Seconds=32 + { 2451867.50, 64.057045 }, //19 November 2000, UT1-UTC= 0.1269550, Accumulated Leap Seconds=32 + { 2451868.50, 64.058020 }, //20 November 2000, UT1-UTC= 0.1259796, Accumulated Leap Seconds=32 + { 2451869.50, 64.059119 }, //21 November 2000, UT1-UTC= 0.1248810, Accumulated Leap Seconds=32 + { 2451870.50, 64.060291 }, //22 November 2000, UT1-UTC= 0.1237094, Accumulated Leap Seconds=32 + { 2451871.50, 64.061474 }, //23 November 2000, UT1-UTC= 0.1225261, Accumulated Leap Seconds=32 + { 2451872.50, 64.062573 }, //24 November 2000, UT1-UTC= 0.1214273, Accumulated Leap Seconds=32 + { 2451873.50, 64.063526 }, //25 November 2000, UT1-UTC= 0.1204737, Accumulated Leap Seconds=32 + { 2451874.50, 64.064311 }, //26 November 2000, UT1-UTC= 0.1196892, Accumulated Leap Seconds=32 + { 2451875.50, 64.064942 }, //27 November 2000, UT1-UTC= 0.1190582, Accumulated Leap Seconds=32 + { 2451876.50, 64.065463 }, //28 November 2000, UT1-UTC= 0.1185366, Accumulated Leap Seconds=32 + { 2451877.50, 64.065949 }, //29 November 2000, UT1-UTC= 0.1180511, Accumulated Leap Seconds=32 + { 2451878.50, 64.066464 }, //30 November 2000, UT1-UTC= 0.1175362, Accumulated Leap Seconds=32 + { 2451879.50, 64.067043 }, //01 December 2000, UT1-UTC= 0.1169571, Accumulated Leap Seconds=32 + { 2451880.50, 64.067716 }, //02 December 2000, UT1-UTC= 0.1162837, Accumulated Leap Seconds=32 + { 2451881.50, 64.068523 }, //03 December 2000, UT1-UTC= 0.1154766, Accumulated Leap Seconds=32 + { 2451882.50, 64.069474 }, //04 December 2000, UT1-UTC= 0.1145258, Accumulated Leap Seconds=32 + { 2451883.50, 64.070560 }, //05 December 2000, UT1-UTC= 0.1134396, Accumulated Leap Seconds=32 + { 2451884.50, 64.071763 }, //06 December 2000, UT1-UTC= 0.1122369, Accumulated Leap Seconds=32 + { 2451885.50, 64.073058 }, //07 December 2000, UT1-UTC= 0.1109424, Accumulated Leap Seconds=32 + { 2451886.50, 64.074390 }, //08 December 2000, UT1-UTC= 0.1096102, Accumulated Leap Seconds=32 + { 2451887.50, 64.075676 }, //09 December 2000, UT1-UTC= 0.1083239, Accumulated Leap Seconds=32 + { 2451888.50, 64.076849 }, //10 December 2000, UT1-UTC= 0.1071513, Accumulated Leap Seconds=32 + { 2451889.50, 64.077860 }, //11 December 2000, UT1-UTC= 0.1061402, Accumulated Leap Seconds=32 + { 2451890.50, 64.078698 }, //12 December 2000, UT1-UTC= 0.1053021, Accumulated Leap Seconds=32 + { 2451891.50, 64.079404 }, //13 December 2000, UT1-UTC= 0.1045962, Accumulated Leap Seconds=32 + { 2451892.50, 64.080057 }, //14 December 2000, UT1-UTC= 0.1039425, Accumulated Leap Seconds=32 + { 2451893.50, 64.080748 }, //15 December 2000, UT1-UTC= 0.1032518, Accumulated Leap Seconds=32 + { 2451894.50, 64.081521 }, //16 December 2000, UT1-UTC= 0.1024791, Accumulated Leap Seconds=32 + { 2451895.50, 64.082379 }, //17 December 2000, UT1-UTC= 0.1016208, Accumulated Leap Seconds=32 + { 2451896.50, 64.083308 }, //18 December 2000, UT1-UTC= 0.1006920, Accumulated Leap Seconds=32 + { 2451897.50, 64.084266 }, //19 December 2000, UT1-UTC= 0.0997342, Accumulated Leap Seconds=32 + { 2451898.50, 64.085205 }, //20 December 2000, UT1-UTC= 0.0987954, Accumulated Leap Seconds=32 + { 2451899.50, 64.086070 }, //21 December 2000, UT1-UTC= 0.0979297, Accumulated Leap Seconds=32 + { 2451900.50, 64.086815 }, //22 December 2000, UT1-UTC= 0.0971851, Accumulated Leap Seconds=32 + { 2451901.50, 64.087430 }, //23 December 2000, UT1-UTC= 0.0965696, Accumulated Leap Seconds=32 + { 2451902.50, 64.087923 }, //24 December 2000, UT1-UTC= 0.0960771, Accumulated Leap Seconds=32 + { 2451903.50, 64.088304 }, //25 December 2000, UT1-UTC= 0.0956962, Accumulated Leap Seconds=32 + { 2451904.50, 64.088600 }, //26 December 2000, UT1-UTC= 0.0954001, Accumulated Leap Seconds=32 + { 2451905.50, 64.088849 }, //27 December 2000, UT1-UTC= 0.0951508, Accumulated Leap Seconds=32 + { 2451906.50, 64.089090 }, //28 December 2000, UT1-UTC= 0.0949096, Accumulated Leap Seconds=32 + { 2451907.50, 64.089364 }, //29 December 2000, UT1-UTC= 0.0946359, Accumulated Leap Seconds=32 + { 2451908.50, 64.089717 }, //30 December 2000, UT1-UTC= 0.0942828, Accumulated Leap Seconds=32 + { 2451909.50, 64.090188 }, //31 December 2000, UT1-UTC= 0.0938120, Accumulated Leap Seconds=32 + { 2451910.50, 64.090788 }, //01 January 2001, UT1-UTC= 0.0932119, Accumulated Leap Seconds=32 + { 2451911.50, 64.091509 }, //02 January 2001, UT1-UTC= 0.0924914, Accumulated Leap Seconds=32 + { 2451912.50, 64.092331 }, //03 January 2001, UT1-UTC= 0.0916692, Accumulated Leap Seconds=32 + { 2451913.50, 64.093225 }, //04 January 2001, UT1-UTC= 0.0907750, Accumulated Leap Seconds=32 + { 2451914.50, 64.094132 }, //05 January 2001, UT1-UTC= 0.0898678, Accumulated Leap Seconds=32 + { 2451915.50, 64.094981 }, //06 January 2001, UT1-UTC= 0.0890192, Accumulated Leap Seconds=32 + { 2451916.50, 64.095709 }, //07 January 2001, UT1-UTC= 0.0882913, Accumulated Leap Seconds=32 + { 2451917.50, 64.096290 }, //08 January 2001, UT1-UTC= 0.0877100, Accumulated Leap Seconds=32 + { 2451918.50, 64.096759 }, //09 January 2001, UT1-UTC= 0.0872412, Accumulated Leap Seconds=32 + { 2451919.50, 64.097179 }, //10 January 2001, UT1-UTC= 0.0868214, Accumulated Leap Seconds=32 + { 2451920.50, 64.097602 }, //11 January 2001, UT1-UTC= 0.0863978, Accumulated Leap Seconds=32 + { 2451921.50, 64.098108 }, //12 January 2001, UT1-UTC= 0.0858918, Accumulated Leap Seconds=32 + { 2451922.50, 64.098772 }, //13 January 2001, UT1-UTC= 0.0852278, Accumulated Leap Seconds=32 + { 2451923.50, 64.099603 }, //14 January 2001, UT1-UTC= 0.0843969, Accumulated Leap Seconds=32 + { 2451924.50, 64.100535 }, //15 January 2001, UT1-UTC= 0.0834651, Accumulated Leap Seconds=32 + { 2451925.50, 64.101480 }, //16 January 2001, UT1-UTC= 0.0825200, Accumulated Leap Seconds=32 + { 2451926.50, 64.102338 }, //17 January 2001, UT1-UTC= 0.0816624, Accumulated Leap Seconds=32 + { 2451927.50, 64.103020 }, //18 January 2001, UT1-UTC= 0.0809795, Accumulated Leap Seconds=32 + { 2451928.50, 64.103508 }, //19 January 2001, UT1-UTC= 0.0804921, Accumulated Leap Seconds=32 + { 2451929.50, 64.103821 }, //20 January 2001, UT1-UTC= 0.0801787, Accumulated Leap Seconds=32 + { 2451930.50, 64.103980 }, //21 January 2001, UT1-UTC= 0.0800201, Accumulated Leap Seconds=32 + { 2451931.50, 64.104019 }, //22 January 2001, UT1-UTC= 0.0799806, Accumulated Leap Seconds=32 + { 2451932.50, 64.103976 }, //23 January 2001, UT1-UTC= 0.0800240, Accumulated Leap Seconds=32 + { 2451933.50, 64.103893 }, //24 January 2001, UT1-UTC= 0.0801074, Accumulated Leap Seconds=32 + { 2451934.50, 64.103883 }, //25 January 2001, UT1-UTC= 0.0801174, Accumulated Leap Seconds=32 + { 2451935.50, 64.104000 }, //26 January 2001, UT1-UTC= 0.0800005, Accumulated Leap Seconds=32 + { 2451936.50, 64.104252 }, //27 January 2001, UT1-UTC= 0.0797485, Accumulated Leap Seconds=32 + { 2451937.50, 64.104640 }, //28 January 2001, UT1-UTC= 0.0793597, Accumulated Leap Seconds=32 + { 2451938.50, 64.105143 }, //29 January 2001, UT1-UTC= 0.0788571, Accumulated Leap Seconds=32 + { 2451939.50, 64.105714 }, //30 January 2001, UT1-UTC= 0.0782861, Accumulated Leap Seconds=32 + { 2451940.50, 64.106293 }, //31 January 2001, UT1-UTC= 0.0777066, Accumulated Leap Seconds=32 + { 2451941.50, 64.106808 }, //01 February 2001, UT1-UTC= 0.0771923, Accumulated Leap Seconds=32 + { 2451942.50, 64.107223 }, //02 February 2001, UT1-UTC= 0.0767767, Accumulated Leap Seconds=32 + { 2451943.50, 64.107509 }, //03 February 2001, UT1-UTC= 0.0764905, Accumulated Leap Seconds=32 + { 2451944.50, 64.107654 }, //04 February 2001, UT1-UTC= 0.0763463, Accumulated Leap Seconds=32 + { 2451945.50, 64.107693 }, //05 February 2001, UT1-UTC= 0.0763070, Accumulated Leap Seconds=32 + { 2451946.50, 64.107710 }, //06 February 2001, UT1-UTC= 0.0762904, Accumulated Leap Seconds=32 + { 2451947.50, 64.107821 }, //07 February 2001, UT1-UTC= 0.0761786, Accumulated Leap Seconds=32 + { 2451948.50, 64.108163 }, //08 February 2001, UT1-UTC= 0.0758370, Accumulated Leap Seconds=32 + { 2451949.50, 64.108779 }, //09 February 2001, UT1-UTC= 0.0752207, Accumulated Leap Seconds=32 + { 2451950.50, 64.109645 }, //10 February 2001, UT1-UTC= 0.0743550, Accumulated Leap Seconds=32 + { 2451951.50, 64.110687 }, //11 February 2001, UT1-UTC= 0.0733133, Accumulated Leap Seconds=32 + { 2451952.50, 64.111815 }, //12 February 2001, UT1-UTC= 0.0721847, Accumulated Leap Seconds=32 + { 2451953.50, 64.112962 }, //13 February 2001, UT1-UTC= 0.0710379, Accumulated Leap Seconds=32 + { 2451954.50, 64.114071 }, //14 February 2001, UT1-UTC= 0.0699293, Accumulated Leap Seconds=32 + { 2451955.50, 64.115051 }, //15 February 2001, UT1-UTC= 0.0689493, Accumulated Leap Seconds=32 + { 2451956.50, 64.115880 }, //16 February 2001, UT1-UTC= 0.0681196, Accumulated Leap Seconds=32 + { 2451957.50, 64.116584 }, //17 February 2001, UT1-UTC= 0.0674165, Accumulated Leap Seconds=32 + { 2451958.50, 64.117195 }, //18 February 2001, UT1-UTC= 0.0668053, Accumulated Leap Seconds=32 + { 2451959.50, 64.117778 }, //19 February 2001, UT1-UTC= 0.0662222, Accumulated Leap Seconds=32 + { 2451960.50, 64.118382 }, //20 February 2001, UT1-UTC= 0.0656180, Accumulated Leap Seconds=32 + { 2451961.50, 64.119031 }, //21 February 2001, UT1-UTC= 0.0649693, Accumulated Leap Seconds=32 + { 2451962.50, 64.119728 }, //22 February 2001, UT1-UTC= 0.0642715, Accumulated Leap Seconds=32 + { 2451963.50, 64.120526 }, //23 February 2001, UT1-UTC= 0.0634742, Accumulated Leap Seconds=32 + { 2451964.50, 64.121481 }, //24 February 2001, UT1-UTC= 0.0625189, Accumulated Leap Seconds=32 + { 2451965.50, 64.122613 }, //25 February 2001, UT1-UTC= 0.0613865, Accumulated Leap Seconds=32 + { 2451966.50, 64.123909 }, //26 February 2001, UT1-UTC= 0.0600910, Accumulated Leap Seconds=32 + { 2451967.50, 64.125321 }, //27 February 2001, UT1-UTC= 0.0586786, Accumulated Leap Seconds=32 + { 2451968.50, 64.126780 }, //28 February 2001, UT1-UTC= 0.0572195, Accumulated Leap Seconds=32 + { 2451969.50, 64.128213 }, //01 March 2001, UT1-UTC= 0.0557875, Accumulated Leap Seconds=32 + { 2451970.50, 64.129540 }, //02 March 2001, UT1-UTC= 0.0544602, Accumulated Leap Seconds=32 + { 2451971.50, 64.130718 }, //03 March 2001, UT1-UTC= 0.0532819, Accumulated Leap Seconds=32 + { 2451972.50, 64.131762 }, //04 March 2001, UT1-UTC= 0.0522376, Accumulated Leap Seconds=32 + { 2451973.50, 64.132717 }, //05 March 2001, UT1-UTC= 0.0512832, Accumulated Leap Seconds=32 + { 2451974.50, 64.133651 }, //06 March 2001, UT1-UTC= 0.0503495, Accumulated Leap Seconds=32 + { 2451975.50, 64.134656 }, //07 March 2001, UT1-UTC= 0.0493442, Accumulated Leap Seconds=32 + { 2451976.50, 64.135866 }, //08 March 2001, UT1-UTC= 0.0481341, Accumulated Leap Seconds=32 + { 2451977.50, 64.137299 }, //09 March 2001, UT1-UTC= 0.0467010, Accumulated Leap Seconds=32 + { 2451978.50, 64.138877 }, //10 March 2001, UT1-UTC= 0.0451229, Accumulated Leap Seconds=32 + { 2451979.50, 64.140523 }, //11 March 2001, UT1-UTC= 0.0434773, Accumulated Leap Seconds=32 + { 2451980.50, 64.142120 }, //12 March 2001, UT1-UTC= 0.0418802, Accumulated Leap Seconds=32 + { 2451981.50, 64.143563 }, //13 March 2001, UT1-UTC= 0.0404374, Accumulated Leap Seconds=32 + { 2451982.50, 64.144770 }, //14 March 2001, UT1-UTC= 0.0392295, Accumulated Leap Seconds=32 + { 2451983.50, 64.145705 }, //15 March 2001, UT1-UTC= 0.0382952, Accumulated Leap Seconds=32 + { 2451984.50, 64.146427 }, //16 March 2001, UT1-UTC= 0.0375726, Accumulated Leap Seconds=32 + { 2451985.50, 64.147011 }, //17 March 2001, UT1-UTC= 0.0369887, Accumulated Leap Seconds=32 + { 2451986.50, 64.147495 }, //18 March 2001, UT1-UTC= 0.0365050, Accumulated Leap Seconds=32 + { 2451987.50, 64.147921 }, //19 March 2001, UT1-UTC= 0.0360785, Accumulated Leap Seconds=32 + { 2451988.50, 64.148346 }, //20 March 2001, UT1-UTC= 0.0356539, Accumulated Leap Seconds=32 + { 2451989.50, 64.148832 }, //21 March 2001, UT1-UTC= 0.0351677, Accumulated Leap Seconds=32 + { 2451990.50, 64.149426 }, //22 March 2001, UT1-UTC= 0.0345744, Accumulated Leap Seconds=32 + { 2451991.50, 64.150119 }, //23 March 2001, UT1-UTC= 0.0338807, Accumulated Leap Seconds=32 + { 2451992.50, 64.150905 }, //24 March 2001, UT1-UTC= 0.0330948, Accumulated Leap Seconds=32 + { 2451993.50, 64.151827 }, //25 March 2001, UT1-UTC= 0.0321732, Accumulated Leap Seconds=32 + { 2451994.50, 64.152866 }, //26 March 2001, UT1-UTC= 0.0311344, Accumulated Leap Seconds=32 + { 2451995.50, 64.153964 }, //27 March 2001, UT1-UTC= 0.0300364, Accumulated Leap Seconds=32 + { 2451996.50, 64.155047 }, //28 March 2001, UT1-UTC= 0.0289533, Accumulated Leap Seconds=32 + { 2451997.50, 64.156057 }, //29 March 2001, UT1-UTC= 0.0279431, Accumulated Leap Seconds=32 + { 2451998.50, 64.156942 }, //30 March 2001, UT1-UTC= 0.0270584, Accumulated Leap Seconds=32 + { 2451999.50, 64.157721 }, //31 March 2001, UT1-UTC= 0.0262790, Accumulated Leap Seconds=32 + { 2452000.50, 64.158421 }, //01 April 2001, UT1-UTC= 0.0255789, Accumulated Leap Seconds=32 + { 2452001.50, 64.159091 }, //02 April 2001, UT1-UTC= 0.0249086, Accumulated Leap Seconds=32 + { 2452002.50, 64.159803 }, //03 April 2001, UT1-UTC= 0.0241974, Accumulated Leap Seconds=32 + { 2452003.50, 64.160647 }, //04 April 2001, UT1-UTC= 0.0233525, Accumulated Leap Seconds=32 + { 2452004.50, 64.161706 }, //05 April 2001, UT1-UTC= 0.0222941, Accumulated Leap Seconds=32 + { 2452005.50, 64.162969 }, //06 April 2001, UT1-UTC= 0.0210310, Accumulated Leap Seconds=32 + { 2452006.50, 64.164387 }, //07 April 2001, UT1-UTC= 0.0196128, Accumulated Leap Seconds=32 + { 2452007.50, 64.165882 }, //08 April 2001, UT1-UTC= 0.0181175, Accumulated Leap Seconds=32 + { 2452008.50, 64.167287 }, //09 April 2001, UT1-UTC= 0.0167131, Accumulated Leap Seconds=32 + { 2452009.50, 64.168485 }, //10 April 2001, UT1-UTC= 0.0155146, Accumulated Leap Seconds=32 + { 2452010.50, 64.169441 }, //11 April 2001, UT1-UTC= 0.0145593, Accumulated Leap Seconds=32 + { 2452011.50, 64.170161 }, //12 April 2001, UT1-UTC= 0.0138392, Accumulated Leap Seconds=32 + { 2452012.50, 64.170683 }, //13 April 2001, UT1-UTC= 0.0133170, Accumulated Leap Seconds=32 + { 2452013.50, 64.171052 }, //14 April 2001, UT1-UTC= 0.0129482, Accumulated Leap Seconds=32 + { 2452014.50, 64.171355 }, //15 April 2001, UT1-UTC= 0.0126452, Accumulated Leap Seconds=32 + { 2452015.50, 64.171691 }, //16 April 2001, UT1-UTC= 0.0123092, Accumulated Leap Seconds=32 + { 2452016.50, 64.172152 }, //17 April 2001, UT1-UTC= 0.0118484, Accumulated Leap Seconds=32 + { 2452017.50, 64.172773 }, //18 April 2001, UT1-UTC= 0.0112269, Accumulated Leap Seconds=32 + { 2452018.50, 64.173565 }, //19 April 2001, UT1-UTC= 0.0104350, Accumulated Leap Seconds=32 + { 2452019.50, 64.174471 }, //20 April 2001, UT1-UTC= 0.0095289, Accumulated Leap Seconds=32 + { 2452020.50, 64.175444 }, //21 April 2001, UT1-UTC= 0.0085563, Accumulated Leap Seconds=32 + { 2452021.50, 64.176448 }, //22 April 2001, UT1-UTC= 0.0075520, Accumulated Leap Seconds=32 + { 2452022.50, 64.177423 }, //23 April 2001, UT1-UTC= 0.0065774, Accumulated Leap Seconds=32 + { 2452023.50, 64.178329 }, //24 April 2001, UT1-UTC= 0.0056709, Accumulated Leap Seconds=32 + { 2452024.50, 64.179156 }, //25 April 2001, UT1-UTC= 0.0048440, Accumulated Leap Seconds=32 + { 2452025.50, 64.179921 }, //26 April 2001, UT1-UTC= 0.0040790, Accumulated Leap Seconds=32 + { 2452026.50, 64.180598 }, //27 April 2001, UT1-UTC= 0.0034022, Accumulated Leap Seconds=32 + { 2452027.50, 64.181181 }, //28 April 2001, UT1-UTC= 0.0028191, Accumulated Leap Seconds=32 + { 2452028.50, 64.181757 }, //29 April 2001, UT1-UTC= 0.0022428, Accumulated Leap Seconds=32 + { 2452029.50, 64.182427 }, //30 April 2001, UT1-UTC= 0.0015733, Accumulated Leap Seconds=32 + { 2452030.50, 64.183272 }, //01 May 2001, UT1-UTC= 0.0007278, Accumulated Leap Seconds=32 + { 2452031.50, 64.184326 }, //02 May 2001, UT1-UTC=-0.0003259, Accumulated Leap Seconds=32 + { 2452032.50, 64.185593 }, //03 May 2001, UT1-UTC=-0.0015934, Accumulated Leap Seconds=32 + { 2452033.50, 64.187035 }, //04 May 2001, UT1-UTC=-0.0030352, Accumulated Leap Seconds=32 + { 2452034.50, 64.188593 }, //05 May 2001, UT1-UTC=-0.0045933, Accumulated Leap Seconds=32 + { 2452035.50, 64.190133 }, //06 May 2001, UT1-UTC=-0.0061331, Accumulated Leap Seconds=32 + { 2452036.50, 64.191537 }, //07 May 2001, UT1-UTC=-0.0075369, Accumulated Leap Seconds=32 + { 2452037.50, 64.192740 }, //08 May 2001, UT1-UTC=-0.0087404, Accumulated Leap Seconds=32 + { 2452038.50, 64.193737 }, //09 May 2001, UT1-UTC=-0.0097369, Accumulated Leap Seconds=32 + { 2452039.50, 64.194532 }, //10 May 2001, UT1-UTC=-0.0105319, Accumulated Leap Seconds=32 + { 2452040.50, 64.195176 }, //11 May 2001, UT1-UTC=-0.0111764, Accumulated Leap Seconds=32 + { 2452041.50, 64.195750 }, //12 May 2001, UT1-UTC=-0.0117496, Accumulated Leap Seconds=32 + { 2452042.50, 64.196325 }, //13 May 2001, UT1-UTC=-0.0123247, Accumulated Leap Seconds=32 + { 2452043.50, 64.196961 }, //14 May 2001, UT1-UTC=-0.0129605, Accumulated Leap Seconds=32 + { 2452044.50, 64.197704 }, //15 May 2001, UT1-UTC=-0.0137043, Accumulated Leap Seconds=32 + { 2452045.50, 64.198569 }, //16 May 2001, UT1-UTC=-0.0145695, Accumulated Leap Seconds=32 + { 2452046.50, 64.199537 }, //17 May 2001, UT1-UTC=-0.0155375, Accumulated Leap Seconds=32 + { 2452047.50, 64.200601 }, //18 May 2001, UT1-UTC=-0.0166007, Accumulated Leap Seconds=32 + { 2452048.50, 64.201727 }, //19 May 2001, UT1-UTC=-0.0177270, Accumulated Leap Seconds=32 + { 2452049.50, 64.202863 }, //20 May 2001, UT1-UTC=-0.0188626, Accumulated Leap Seconds=32 + { 2452050.50, 64.203942 }, //21 May 2001, UT1-UTC=-0.0199416, Accumulated Leap Seconds=32 + { 2452051.50, 64.204903 }, //22 May 2001, UT1-UTC=-0.0209025, Accumulated Leap Seconds=32 + { 2452052.50, 64.205678 }, //23 May 2001, UT1-UTC=-0.0216782, Accumulated Leap Seconds=32 + { 2452053.50, 64.206237 }, //24 May 2001, UT1-UTC=-0.0222369, Accumulated Leap Seconds=32 + { 2452054.50, 64.206603 }, //25 May 2001, UT1-UTC=-0.0226032, Accumulated Leap Seconds=32 + { 2452055.50, 64.206824 }, //26 May 2001, UT1-UTC=-0.0228237, Accumulated Leap Seconds=32 + { 2452056.50, 64.207003 }, //27 May 2001, UT1-UTC=-0.0230030, Accumulated Leap Seconds=32 + { 2452057.50, 64.207246 }, //28 May 2001, UT1-UTC=-0.0232464, Accumulated Leap Seconds=32 + { 2452058.50, 64.207618 }, //29 May 2001, UT1-UTC=-0.0236177, Accumulated Leap Seconds=32 + { 2452059.50, 64.208132 }, //30 May 2001, UT1-UTC=-0.0241318, Accumulated Leap Seconds=32 + { 2452060.50, 64.208748 }, //31 May 2001, UT1-UTC=-0.0247483, Accumulated Leap Seconds=32 + { 2452061.50, 64.209397 }, //01 June 2001, UT1-UTC=-0.0253975, Accumulated Leap Seconds=32 + { 2452062.50, 64.210017 }, //02 June 2001, UT1-UTC=-0.0260175, Accumulated Leap Seconds=32 + { 2452063.50, 64.210518 }, //03 June 2001, UT1-UTC=-0.0265184, Accumulated Leap Seconds=32 + { 2452064.50, 64.210828 }, //04 June 2001, UT1-UTC=-0.0268285, Accumulated Leap Seconds=32 + { 2452065.50, 64.210912 }, //05 June 2001, UT1-UTC=-0.0269122, Accumulated Leap Seconds=32 + { 2452066.50, 64.210759 }, //06 June 2001, UT1-UTC=-0.0267590, Accumulated Leap Seconds=32 + { 2452067.50, 64.210402 }, //07 June 2001, UT1-UTC=-0.0264018, Accumulated Leap Seconds=32 + { 2452068.50, 64.209929 }, //08 June 2001, UT1-UTC=-0.0259287, Accumulated Leap Seconds=32 + { 2452069.50, 64.209433 }, //09 June 2001, UT1-UTC=-0.0254333, Accumulated Leap Seconds=32 + { 2452070.50, 64.209001 }, //10 June 2001, UT1-UTC=-0.0250007, Accumulated Leap Seconds=32 + { 2452071.50, 64.208689 }, //11 June 2001, UT1-UTC=-0.0246893, Accumulated Leap Seconds=32 + { 2452072.50, 64.208524 }, //12 June 2001, UT1-UTC=-0.0245243, Accumulated Leap Seconds=32 + { 2452073.50, 64.208500 }, //13 June 2001, UT1-UTC=-0.0244996, Accumulated Leap Seconds=32 + { 2452074.50, 64.208585 }, //14 June 2001, UT1-UTC=-0.0245855, Accumulated Leap Seconds=32 + { 2452075.50, 64.208715 }, //15 June 2001, UT1-UTC=-0.0247149, Accumulated Leap Seconds=32 + { 2452076.50, 64.208884 }, //16 June 2001, UT1-UTC=-0.0248844, Accumulated Leap Seconds=32 + { 2452077.50, 64.209086 }, //17 June 2001, UT1-UTC=-0.0250857, Accumulated Leap Seconds=32 + { 2452078.50, 64.209277 }, //18 June 2001, UT1-UTC=-0.0252770, Accumulated Leap Seconds=32 + { 2452079.50, 64.209409 }, //19 June 2001, UT1-UTC=-0.0254095, Accumulated Leap Seconds=32 + { 2452080.50, 64.209432 }, //20 June 2001, UT1-UTC=-0.0254321, Accumulated Leap Seconds=32 + { 2452081.50, 64.209332 }, //21 June 2001, UT1-UTC=-0.0253320, Accumulated Leap Seconds=32 + { 2452082.50, 64.209178 }, //22 June 2001, UT1-UTC=-0.0251783, Accumulated Leap Seconds=32 + { 2452083.50, 64.209010 }, //23 June 2001, UT1-UTC=-0.0250102, Accumulated Leap Seconds=32 + { 2452084.50, 64.208897 }, //24 June 2001, UT1-UTC=-0.0248971, Accumulated Leap Seconds=32 + { 2452085.50, 64.208920 }, //25 June 2001, UT1-UTC=-0.0249203, Accumulated Leap Seconds=32 + { 2452086.50, 64.209157 }, //26 June 2001, UT1-UTC=-0.0251571, Accumulated Leap Seconds=32 + { 2452087.50, 64.209622 }, //27 June 2001, UT1-UTC=-0.0256219, Accumulated Leap Seconds=32 + { 2452088.50, 64.210234 }, //28 June 2001, UT1-UTC=-0.0262345, Accumulated Leap Seconds=32 + { 2452089.50, 64.210837 }, //29 June 2001, UT1-UTC=-0.0268374, Accumulated Leap Seconds=32 + { 2452090.50, 64.211331 }, //30 June 2001, UT1-UTC=-0.0273305, Accumulated Leap Seconds=32 + { 2452091.50, 64.211663 }, //01 July 2001, UT1-UTC=-0.0276628, Accumulated Leap Seconds=32 + { 2452092.50, 64.211807 }, //02 July 2001, UT1-UTC=-0.0278068, Accumulated Leap Seconds=32 + { 2452093.50, 64.211772 }, //03 July 2001, UT1-UTC=-0.0277724, Accumulated Leap Seconds=32 + { 2452094.50, 64.211592 }, //04 July 2001, UT1-UTC=-0.0275917, Accumulated Leap Seconds=32 + { 2452095.50, 64.211321 }, //05 July 2001, UT1-UTC=-0.0273214, Accumulated Leap Seconds=32 + { 2452096.50, 64.211017 }, //06 July 2001, UT1-UTC=-0.0270168, Accumulated Leap Seconds=32 + { 2452097.50, 64.210717 }, //07 July 2001, UT1-UTC=-0.0267172, Accumulated Leap Seconds=32 + { 2452098.50, 64.210488 }, //08 July 2001, UT1-UTC=-0.0264876, Accumulated Leap Seconds=32 + { 2452099.50, 64.210356 }, //09 July 2001, UT1-UTC=-0.0263559, Accumulated Leap Seconds=32 + { 2452100.50, 64.210296 }, //10 July 2001, UT1-UTC=-0.0262957, Accumulated Leap Seconds=32 + { 2452101.50, 64.210294 }, //11 July 2001, UT1-UTC=-0.0262937, Accumulated Leap Seconds=32 + { 2452102.50, 64.210342 }, //12 July 2001, UT1-UTC=-0.0263420, Accumulated Leap Seconds=32 + { 2452103.50, 64.210442 }, //13 July 2001, UT1-UTC=-0.0264423, Accumulated Leap Seconds=32 + { 2452104.50, 64.210574 }, //14 July 2001, UT1-UTC=-0.0265745, Accumulated Leap Seconds=32 + { 2452105.50, 64.210678 }, //15 July 2001, UT1-UTC=-0.0266776, Accumulated Leap Seconds=32 + { 2452106.50, 64.210700 }, //16 July 2001, UT1-UTC=-0.0266996, Accumulated Leap Seconds=32 + { 2452107.50, 64.210605 }, //17 July 2001, UT1-UTC=-0.0266054, Accumulated Leap Seconds=32 + { 2452108.50, 64.210377 }, //18 July 2001, UT1-UTC=-0.0263767, Accumulated Leap Seconds=32 + { 2452109.50, 64.209994 }, //19 July 2001, UT1-UTC=-0.0259942, Accumulated Leap Seconds=32 + { 2452110.50, 64.209508 }, //20 July 2001, UT1-UTC=-0.0255082, Accumulated Leap Seconds=32 + { 2452111.50, 64.209006 }, //21 July 2001, UT1-UTC=-0.0250060, Accumulated Leap Seconds=32 + { 2452112.50, 64.208613 }, //22 July 2001, UT1-UTC=-0.0246132, Accumulated Leap Seconds=32 + { 2452113.50, 64.208417 }, //23 July 2001, UT1-UTC=-0.0244171, Accumulated Leap Seconds=32 + { 2452114.50, 64.208438 }, //24 July 2001, UT1-UTC=-0.0244378, Accumulated Leap Seconds=32 + { 2452115.50, 64.208625 }, //25 July 2001, UT1-UTC=-0.0246254, Accumulated Leap Seconds=32 + { 2452116.50, 64.208855 }, //26 July 2001, UT1-UTC=-0.0248554, Accumulated Leap Seconds=32 + { 2452117.50, 64.209036 }, //27 July 2001, UT1-UTC=-0.0250362, Accumulated Leap Seconds=32 + { 2452118.50, 64.209071 }, //28 July 2001, UT1-UTC=-0.0250710, Accumulated Leap Seconds=32 + { 2452119.50, 64.208897 }, //29 July 2001, UT1-UTC=-0.0248973, Accumulated Leap Seconds=32 + { 2452120.50, 64.208520 }, //30 July 2001, UT1-UTC=-0.0245203, Accumulated Leap Seconds=32 + { 2452121.50, 64.207975 }, //31 July 2001, UT1-UTC=-0.0239750, Accumulated Leap Seconds=32 + { 2452122.50, 64.207317 }, //01 August 2001, UT1-UTC=-0.0233173, Accumulated Leap Seconds=32 + { 2452123.50, 64.206603 }, //02 August 2001, UT1-UTC=-0.0226031, Accumulated Leap Seconds=32 + { 2452124.50, 64.205931 }, //03 August 2001, UT1-UTC=-0.0219307, Accumulated Leap Seconds=32 + { 2452125.50, 64.205374 }, //04 August 2001, UT1-UTC=-0.0213741, Accumulated Leap Seconds=32 + { 2452126.50, 64.204965 }, //05 August 2001, UT1-UTC=-0.0209647, Accumulated Leap Seconds=32 + { 2452127.50, 64.204713 }, //06 August 2001, UT1-UTC=-0.0207134, Accumulated Leap Seconds=32 + { 2452128.50, 64.204609 }, //07 August 2001, UT1-UTC=-0.0206093, Accumulated Leap Seconds=32 + { 2452129.50, 64.204645 }, //08 August 2001, UT1-UTC=-0.0206453, Accumulated Leap Seconds=32 + { 2452130.50, 64.204828 }, //09 August 2001, UT1-UTC=-0.0208280, Accumulated Leap Seconds=32 + { 2452131.50, 64.205118 }, //10 August 2001, UT1-UTC=-0.0211180, Accumulated Leap Seconds=32 + { 2452132.50, 64.205488 }, //11 August 2001, UT1-UTC=-0.0214883, Accumulated Leap Seconds=32 + { 2452133.50, 64.205858 }, //12 August 2001, UT1-UTC=-0.0218582, Accumulated Leap Seconds=32 + { 2452134.50, 64.206168 }, //13 August 2001, UT1-UTC=-0.0221683, Accumulated Leap Seconds=32 + { 2452135.50, 64.206376 }, //14 August 2001, UT1-UTC=-0.0223759, Accumulated Leap Seconds=32 + { 2452136.50, 64.206472 }, //15 August 2001, UT1-UTC=-0.0224719, Accumulated Leap Seconds=32 + { 2452137.50, 64.206495 }, //16 August 2001, UT1-UTC=-0.0224951, Accumulated Leap Seconds=32 + { 2452138.50, 64.206542 }, //17 August 2001, UT1-UTC=-0.0225424, Accumulated Leap Seconds=32 + { 2452139.50, 64.206735 }, //18 August 2001, UT1-UTC=-0.0227349, Accumulated Leap Seconds=32 + { 2452140.50, 64.207147 }, //19 August 2001, UT1-UTC=-0.0231468, Accumulated Leap Seconds=32 + { 2452141.50, 64.207811 }, //20 August 2001, UT1-UTC=-0.0238110, Accumulated Leap Seconds=32 + { 2452142.50, 64.208672 }, //21 August 2001, UT1-UTC=-0.0246716, Accumulated Leap Seconds=32 + { 2452143.50, 64.209634 }, //22 August 2001, UT1-UTC=-0.0256336, Accumulated Leap Seconds=32 + { 2452144.50, 64.210572 }, //23 August 2001, UT1-UTC=-0.0265722, Accumulated Leap Seconds=32 + { 2452145.50, 64.211331 }, //24 August 2001, UT1-UTC=-0.0273305, Accumulated Leap Seconds=32 + { 2452146.50, 64.211886 }, //25 August 2001, UT1-UTC=-0.0278859, Accumulated Leap Seconds=32 + { 2452147.50, 64.212191 }, //26 August 2001, UT1-UTC=-0.0281912, Accumulated Leap Seconds=32 + { 2452148.50, 64.212270 }, //27 August 2001, UT1-UTC=-0.0282702, Accumulated Leap Seconds=32 + { 2452149.50, 64.212181 }, //28 August 2001, UT1-UTC=-0.0281810, Accumulated Leap Seconds=32 + { 2452150.50, 64.211987 }, //29 August 2001, UT1-UTC=-0.0279875, Accumulated Leap Seconds=32 + { 2452151.50, 64.211770 }, //30 August 2001, UT1-UTC=-0.0277699, Accumulated Leap Seconds=32 + { 2452152.50, 64.211625 }, //31 August 2001, UT1-UTC=-0.0276246, Accumulated Leap Seconds=32 + { 2452153.50, 64.211557 }, //01 September 2001, UT1-UTC=-0.0275565, Accumulated Leap Seconds=32 + { 2452154.50, 64.211624 }, //02 September 2001, UT1-UTC=-0.0276237, Accumulated Leap Seconds=32 + { 2452155.50, 64.211846 }, //03 September 2001, UT1-UTC=-0.0278457, Accumulated Leap Seconds=32 + { 2452156.50, 64.212210 }, //04 September 2001, UT1-UTC=-0.0282101, Accumulated Leap Seconds=32 + { 2452157.50, 64.212679 }, //05 September 2001, UT1-UTC=-0.0286795, Accumulated Leap Seconds=32 + { 2452158.50, 64.213222 }, //06 September 2001, UT1-UTC=-0.0292220, Accumulated Leap Seconds=32 + { 2452159.50, 64.213723 }, //07 September 2001, UT1-UTC=-0.0297228, Accumulated Leap Seconds=32 + { 2452160.50, 64.214125 }, //08 September 2001, UT1-UTC=-0.0301251, Accumulated Leap Seconds=32 + { 2452161.50, 64.214399 }, //09 September 2001, UT1-UTC=-0.0303991, Accumulated Leap Seconds=32 + { 2452162.50, 64.214541 }, //10 September 2001, UT1-UTC=-0.0305407, Accumulated Leap Seconds=32 + { 2452163.50, 64.214558 }, //11 September 2001, UT1-UTC=-0.0305585, Accumulated Leap Seconds=32 + { 2452164.50, 64.214489 }, //12 September 2001, UT1-UTC=-0.0304893, Accumulated Leap Seconds=32 + { 2452165.50, 64.214390 }, //13 September 2001, UT1-UTC=-0.0303902, Accumulated Leap Seconds=32 + { 2452166.50, 64.214377 }, //14 September 2001, UT1-UTC=-0.0303768, Accumulated Leap Seconds=32 + { 2452167.50, 64.214559 }, //15 September 2001, UT1-UTC=-0.0305592, Accumulated Leap Seconds=32 + { 2452168.50, 64.215023 }, //16 September 2001, UT1-UTC=-0.0310227, Accumulated Leap Seconds=32 + { 2452169.50, 64.215772 }, //17 September 2001, UT1-UTC=-0.0317716, Accumulated Leap Seconds=32 + { 2452170.50, 64.216708 }, //18 September 2001, UT1-UTC=-0.0327081, Accumulated Leap Seconds=32 + { 2452171.50, 64.217683 }, //19 September 2001, UT1-UTC=-0.0336833, Accumulated Leap Seconds=32 + { 2452172.50, 64.218578 }, //20 September 2001, UT1-UTC=-0.0345782, Accumulated Leap Seconds=32 + { 2452173.50, 64.219319 }, //21 September 2001, UT1-UTC=-0.0353188, Accumulated Leap Seconds=32 + { 2452174.50, 64.219865 }, //22 September 2001, UT1-UTC=-0.0358650, Accumulated Leap Seconds=32 + { 2452175.50, 64.220229 }, //23 September 2001, UT1-UTC=-0.0362289, Accumulated Leap Seconds=32 + { 2452176.50, 64.220432 }, //24 September 2001, UT1-UTC=-0.0364315, Accumulated Leap Seconds=32 + { 2452177.50, 64.220515 }, //25 September 2001, UT1-UTC=-0.0365148, Accumulated Leap Seconds=32 + { 2452178.50, 64.220572 }, //26 September 2001, UT1-UTC=-0.0365719, Accumulated Leap Seconds=32 + { 2452179.50, 64.220665 }, //27 September 2001, UT1-UTC=-0.0366649, Accumulated Leap Seconds=32 + { 2452180.50, 64.220863 }, //28 September 2001, UT1-UTC=-0.0368626, Accumulated Leap Seconds=32 + { 2452181.50, 64.221207 }, //29 September 2001, UT1-UTC=-0.0372070, Accumulated Leap Seconds=32 + { 2452182.50, 64.221682 }, //30 September 2001, UT1-UTC=-0.0376819, Accumulated Leap Seconds=32 + { 2452183.50, 64.222286 }, //01 October 2001, UT1-UTC=-0.0382858, Accumulated Leap Seconds=32 + { 2452184.50, 64.223027 }, //02 October 2001, UT1-UTC=-0.0390267, Accumulated Leap Seconds=32 + { 2452185.50, 64.223884 }, //03 October 2001, UT1-UTC=-0.0398842, Accumulated Leap Seconds=32 + { 2452186.50, 64.224766 }, //04 October 2001, UT1-UTC=-0.0407664, Accumulated Leap Seconds=32 + { 2452187.50, 64.225660 }, //05 October 2001, UT1-UTC=-0.0416597, Accumulated Leap Seconds=32 + { 2452188.50, 64.226507 }, //06 October 2001, UT1-UTC=-0.0425070, Accumulated Leap Seconds=32 + { 2452189.50, 64.227221 }, //07 October 2001, UT1-UTC=-0.0432212, Accumulated Leap Seconds=32 + { 2452190.50, 64.227809 }, //08 October 2001, UT1-UTC=-0.0438093, Accumulated Leap Seconds=32 + { 2452191.50, 64.228312 }, //09 October 2001, UT1-UTC=-0.0443119, Accumulated Leap Seconds=32 + { 2452192.50, 64.228795 }, //10 October 2001, UT1-UTC=-0.0447946, Accumulated Leap Seconds=32 + { 2452193.50, 64.229347 }, //11 October 2001, UT1-UTC=-0.0453471, Accumulated Leap Seconds=32 + { 2452194.50, 64.230039 }, //12 October 2001, UT1-UTC=-0.0460388, Accumulated Leap Seconds=32 + { 2452195.50, 64.230935 }, //13 October 2001, UT1-UTC=-0.0469352, Accumulated Leap Seconds=32 + { 2452196.50, 64.232105 }, //14 October 2001, UT1-UTC=-0.0481049, Accumulated Leap Seconds=32 + { 2452197.50, 64.233525 }, //15 October 2001, UT1-UTC=-0.0495247, Accumulated Leap Seconds=32 + { 2452198.50, 64.235092 }, //16 October 2001, UT1-UTC=-0.0510923, Accumulated Leap Seconds=32 + { 2452199.50, 64.236676 }, //17 October 2001, UT1-UTC=-0.0526756, Accumulated Leap Seconds=32 + { 2452200.50, 64.238138 }, //18 October 2001, UT1-UTC=-0.0541385, Accumulated Leap Seconds=32 + { 2452201.50, 64.239364 }, //19 October 2001, UT1-UTC=-0.0553641, Accumulated Leap Seconds=32 + { 2452202.50, 64.240310 }, //20 October 2001, UT1-UTC=-0.0563100, Accumulated Leap Seconds=32 + { 2452203.50, 64.241017 }, //21 October 2001, UT1-UTC=-0.0570173, Accumulated Leap Seconds=32 + { 2452204.50, 64.241586 }, //22 October 2001, UT1-UTC=-0.0575865, Accumulated Leap Seconds=32 + { 2452205.50, 64.242094 }, //23 October 2001, UT1-UTC=-0.0580938, Accumulated Leap Seconds=32 + { 2452206.50, 64.242603 }, //24 October 2001, UT1-UTC=-0.0586034, Accumulated Leap Seconds=32 + { 2452207.50, 64.243148 }, //25 October 2001, UT1-UTC=-0.0591482, Accumulated Leap Seconds=32 + { 2452208.50, 64.243806 }, //26 October 2001, UT1-UTC=-0.0598058, Accumulated Leap Seconds=32 + { 2452209.50, 64.244627 }, //27 October 2001, UT1-UTC=-0.0606271, Accumulated Leap Seconds=32 + { 2452210.50, 64.245600 }, //28 October 2001, UT1-UTC=-0.0616005, Accumulated Leap Seconds=32 + { 2452211.50, 64.246673 }, //29 October 2001, UT1-UTC=-0.0626731, Accumulated Leap Seconds=32 + { 2452212.50, 64.247794 }, //30 October 2001, UT1-UTC=-0.0637941, Accumulated Leap Seconds=32 + { 2452213.50, 64.248900 }, //31 October 2001, UT1-UTC=-0.0649004, Accumulated Leap Seconds=32 + { 2452214.50, 64.249962 }, //01 November 2001, UT1-UTC=-0.0659625, Accumulated Leap Seconds=32 + { 2452215.50, 64.250911 }, //02 November 2001, UT1-UTC=-0.0669114, Accumulated Leap Seconds=32 + { 2452216.50, 64.251679 }, //03 November 2001, UT1-UTC=-0.0676788, Accumulated Leap Seconds=32 + { 2452217.50, 64.252309 }, //04 November 2001, UT1-UTC=-0.0683087, Accumulated Leap Seconds=32 + { 2452218.50, 64.252848 }, //05 November 2001, UT1-UTC=-0.0688485, Accumulated Leap Seconds=32 + { 2452219.50, 64.253338 }, //06 November 2001, UT1-UTC=-0.0693383, Accumulated Leap Seconds=32 + { 2452220.50, 64.253818 }, //07 November 2001, UT1-UTC=-0.0698185, Accumulated Leap Seconds=32 + { 2452221.50, 64.254392 }, //08 November 2001, UT1-UTC=-0.0703925, Accumulated Leap Seconds=32 + { 2452222.50, 64.255211 }, //09 November 2001, UT1-UTC=-0.0712107, Accumulated Leap Seconds=32 + { 2452223.50, 64.256345 }, //10 November 2001, UT1-UTC=-0.0723447, Accumulated Leap Seconds=32 + { 2452224.50, 64.257715 }, //11 November 2001, UT1-UTC=-0.0737149, Accumulated Leap Seconds=32 + { 2452225.50, 64.259240 }, //12 November 2001, UT1-UTC=-0.0752402, Accumulated Leap Seconds=32 + { 2452226.50, 64.260824 }, //13 November 2001, UT1-UTC=-0.0768242, Accumulated Leap Seconds=32 + { 2452227.50, 64.262360 }, //14 November 2001, UT1-UTC=-0.0783598, Accumulated Leap Seconds=32 + { 2452228.50, 64.263680 }, //15 November 2001, UT1-UTC=-0.0796801, Accumulated Leap Seconds=32 + { 2452229.50, 64.264715 }, //16 November 2001, UT1-UTC=-0.0807152, Accumulated Leap Seconds=32 + { 2452230.50, 64.265530 }, //17 November 2001, UT1-UTC=-0.0815299, Accumulated Leap Seconds=32 + { 2452231.50, 64.266187 }, //18 November 2001, UT1-UTC=-0.0821868, Accumulated Leap Seconds=32 + { 2452232.50, 64.266757 }, //19 November 2001, UT1-UTC=-0.0827571, Accumulated Leap Seconds=32 + { 2452233.50, 64.267304 }, //20 November 2001, UT1-UTC=-0.0833038, Accumulated Leap Seconds=32 + { 2452234.50, 64.267864 }, //21 November 2001, UT1-UTC=-0.0838642, Accumulated Leap Seconds=32 + { 2452235.50, 64.268476 }, //22 November 2001, UT1-UTC=-0.0844760, Accumulated Leap Seconds=32 + { 2452236.50, 64.269189 }, //23 November 2001, UT1-UTC=-0.0851887, Accumulated Leap Seconds=32 + { 2452237.50, 64.269991 }, //24 November 2001, UT1-UTC=-0.0859913, Accumulated Leap Seconds=32 + { 2452238.50, 64.270876 }, //25 November 2001, UT1-UTC=-0.0868759, Accumulated Leap Seconds=32 + { 2452239.50, 64.271832 }, //26 November 2001, UT1-UTC=-0.0878323, Accumulated Leap Seconds=32 + { 2452240.50, 64.272823 }, //27 November 2001, UT1-UTC=-0.0888226, Accumulated Leap Seconds=32 + { 2452241.50, 64.273793 }, //28 November 2001, UT1-UTC=-0.0897932, Accumulated Leap Seconds=32 + { 2452242.50, 64.274684 }, //29 November 2001, UT1-UTC=-0.0906844, Accumulated Leap Seconds=32 + { 2452243.50, 64.275463 }, //30 November 2001, UT1-UTC=-0.0914634, Accumulated Leap Seconds=32 + { 2452244.50, 64.276097 }, //01 December 2001, UT1-UTC=-0.0920973, Accumulated Leap Seconds=32 + { 2452245.50, 64.276539 }, //02 December 2001, UT1-UTC=-0.0925390, Accumulated Leap Seconds=32 + { 2452246.50, 64.276848 }, //03 December 2001, UT1-UTC=-0.0928478, Accumulated Leap Seconds=32 + { 2452247.50, 64.277111 }, //04 December 2001, UT1-UTC=-0.0931113, Accumulated Leap Seconds=32 + { 2452248.50, 64.277407 }, //05 December 2001, UT1-UTC=-0.0934066, Accumulated Leap Seconds=32 + { 2452249.50, 64.277841 }, //06 December 2001, UT1-UTC=-0.0938409, Accumulated Leap Seconds=32 + { 2452250.50, 64.278481 }, //07 December 2001, UT1-UTC=-0.0944807, Accumulated Leap Seconds=32 + { 2452251.50, 64.279334 }, //08 December 2001, UT1-UTC=-0.0953339, Accumulated Leap Seconds=32 + { 2452252.50, 64.280386 }, //09 December 2001, UT1-UTC=-0.0963856, Accumulated Leap Seconds=32 + { 2452253.50, 64.281564 }, //10 December 2001, UT1-UTC=-0.0975643, Accumulated Leap Seconds=32 + { 2452254.50, 64.282748 }, //11 December 2001, UT1-UTC=-0.0987479, Accumulated Leap Seconds=32 + { 2452255.50, 64.283813 }, //12 December 2001, UT1-UTC=-0.0998134, Accumulated Leap Seconds=32 + { 2452256.50, 64.284708 }, //13 December 2001, UT1-UTC=-0.1007082, Accumulated Leap Seconds=32 + { 2452257.50, 64.285406 }, //14 December 2001, UT1-UTC=-0.1014059, Accumulated Leap Seconds=32 + { 2452258.50, 64.285886 }, //15 December 2001, UT1-UTC=-0.1018858, Accumulated Leap Seconds=32 + { 2452259.50, 64.286220 }, //16 December 2001, UT1-UTC=-0.1022203, Accumulated Leap Seconds=32 + { 2452260.50, 64.286528 }, //17 December 2001, UT1-UTC=-0.1025281, Accumulated Leap Seconds=32 + { 2452261.50, 64.286898 }, //18 December 2001, UT1-UTC=-0.1028980, Accumulated Leap Seconds=32 + { 2452262.50, 64.287369 }, //19 December 2001, UT1-UTC=-0.1033688, Accumulated Leap Seconds=32 + { 2452263.50, 64.287952 }, //20 December 2001, UT1-UTC=-0.1039517, Accumulated Leap Seconds=32 + { 2452264.50, 64.288741 }, //21 December 2001, UT1-UTC=-0.1047412, Accumulated Leap Seconds=32 + { 2452265.50, 64.289734 }, //22 December 2001, UT1-UTC=-0.1057340, Accumulated Leap Seconds=32 + { 2452266.50, 64.290832 }, //23 December 2001, UT1-UTC=-0.1068325, Accumulated Leap Seconds=32 + { 2452267.50, 64.291993 }, //24 December 2001, UT1-UTC=-0.1079933, Accumulated Leap Seconds=32 + { 2452268.50, 64.293180 }, //25 December 2001, UT1-UTC=-0.1091801, Accumulated Leap Seconds=32 + { 2452269.50, 64.294355 }, //26 December 2001, UT1-UTC=-0.1103550, Accumulated Leap Seconds=32 + { 2452270.50, 64.295483 }, //27 December 2001, UT1-UTC=-0.1114831, Accumulated Leap Seconds=32 + { 2452271.50, 64.296525 }, //28 December 2001, UT1-UTC=-0.1125251, Accumulated Leap Seconds=32 + { 2452272.50, 64.297444 }, //29 December 2001, UT1-UTC=-0.1134437, Accumulated Leap Seconds=32 + { 2452273.50, 64.298256 }, //30 December 2001, UT1-UTC=-0.1142562, Accumulated Leap Seconds=32 + { 2452274.50, 64.299021 }, //31 December 2001, UT1-UTC=-0.1150209, Accumulated Leap Seconds=32 + { 2452275.50, 64.299804 }, //01 January 2002, UT1-UTC=-0.1158037, Accumulated Leap Seconds=32 + { 2452276.50, 64.300669 }, //02 January 2002, UT1-UTC=-0.1166693, Accumulated Leap Seconds=32 + { 2452277.50, 64.301699 }, //03 January 2002, UT1-UTC=-0.1176985, Accumulated Leap Seconds=32 + { 2452278.50, 64.302899 }, //04 January 2002, UT1-UTC=-0.1188986, Accumulated Leap Seconds=32 + { 2452279.50, 64.304211 }, //05 January 2002, UT1-UTC=-0.1202113, Accumulated Leap Seconds=32 + { 2452280.50, 64.305547 }, //06 January 2002, UT1-UTC=-0.1215473, Accumulated Leap Seconds=32 + { 2452281.50, 64.306837 }, //07 January 2002, UT1-UTC=-0.1228365, Accumulated Leap Seconds=32 + { 2452282.50, 64.307961 }, //08 January 2002, UT1-UTC=-0.1239610, Accumulated Leap Seconds=32 + { 2452283.50, 64.308807 }, //09 January 2002, UT1-UTC=-0.1248067, Accumulated Leap Seconds=32 + { 2452284.50, 64.309401 }, //10 January 2002, UT1-UTC=-0.1254012, Accumulated Leap Seconds=32 + { 2452285.50, 64.309789 }, //11 January 2002, UT1-UTC=-0.1257888, Accumulated Leap Seconds=32 + { 2452286.50, 64.309999 }, //12 January 2002, UT1-UTC=-0.1259989, Accumulated Leap Seconds=32 + { 2452287.50, 64.310059 }, //13 January 2002, UT1-UTC=-0.1260590, Accumulated Leap Seconds=32 + { 2452288.50, 64.310049 }, //14 January 2002, UT1-UTC=-0.1260491, Accumulated Leap Seconds=32 + { 2452289.50, 64.310053 }, //15 January 2002, UT1-UTC=-0.1260530, Accumulated Leap Seconds=32 + { 2452290.50, 64.310143 }, //16 January 2002, UT1-UTC=-0.1261427, Accumulated Leap Seconds=32 + { 2452291.50, 64.310307 }, //17 January 2002, UT1-UTC=-0.1263067, Accumulated Leap Seconds=32 + { 2452292.50, 64.310579 }, //18 January 2002, UT1-UTC=-0.1265787, Accumulated Leap Seconds=32 + { 2452293.50, 64.311012 }, //19 January 2002, UT1-UTC=-0.1270116, Accumulated Leap Seconds=32 + { 2452294.50, 64.311535 }, //20 January 2002, UT1-UTC=-0.1275351, Accumulated Leap Seconds=32 + { 2452295.50, 64.312105 }, //21 January 2002, UT1-UTC=-0.1281046, Accumulated Leap Seconds=32 + { 2452296.50, 64.312701 }, //22 January 2002, UT1-UTC=-0.1287014, Accumulated Leap Seconds=32 + { 2452297.50, 64.313301 }, //23 January 2002, UT1-UTC=-0.1293014, Accumulated Leap Seconds=32 + { 2452298.50, 64.313855 }, //24 January 2002, UT1-UTC=-0.1298552, Accumulated Leap Seconds=32 + { 2452299.50, 64.314299 }, //25 January 2002, UT1-UTC=-0.1302989, Accumulated Leap Seconds=32 + { 2452300.50, 64.314633 }, //26 January 2002, UT1-UTC=-0.1306333, Accumulated Leap Seconds=32 + { 2452301.50, 64.314940 }, //27 January 2002, UT1-UTC=-0.1309397, Accumulated Leap Seconds=32 + { 2452302.50, 64.315327 }, //28 January 2002, UT1-UTC=-0.1313269, Accumulated Leap Seconds=32 + { 2452303.50, 64.315902 }, //29 January 2002, UT1-UTC=-0.1319022, Accumulated Leap Seconds=32 + { 2452304.50, 64.316738 }, //30 January 2002, UT1-UTC=-0.1327378, Accumulated Leap Seconds=32 + { 2452305.50, 64.317868 }, //31 January 2002, UT1-UTC=-0.1338676, Accumulated Leap Seconds=32 + { 2452306.50, 64.319186 }, //01 February 2002, UT1-UTC=-0.1351858, Accumulated Leap Seconds=32 + { 2452307.50, 64.320644 }, //02 February 2002, UT1-UTC=-0.1366441, Accumulated Leap Seconds=32 + { 2452308.50, 64.322144 }, //03 February 2002, UT1-UTC=-0.1381439, Accumulated Leap Seconds=32 + { 2452309.50, 64.323521 }, //04 February 2002, UT1-UTC=-0.1395213, Accumulated Leap Seconds=32 + { 2452310.50, 64.324717 }, //05 February 2002, UT1-UTC=-0.1407169, Accumulated Leap Seconds=32 + { 2452311.50, 64.325709 }, //06 February 2002, UT1-UTC=-0.1417091, Accumulated Leap Seconds=32 + { 2452312.50, 64.326448 }, //07 February 2002, UT1-UTC=-0.1424476, Accumulated Leap Seconds=32 + { 2452313.50, 64.327016 }, //08 February 2002, UT1-UTC=-0.1430156, Accumulated Leap Seconds=32 + { 2452314.50, 64.327440 }, //09 February 2002, UT1-UTC=-0.1434398, Accumulated Leap Seconds=32 + { 2452315.50, 64.327815 }, //10 February 2002, UT1-UTC=-0.1438149, Accumulated Leap Seconds=32 + { 2452316.50, 64.328249 }, //11 February 2002, UT1-UTC=-0.1442491, Accumulated Leap Seconds=32 + { 2452317.50, 64.328793 }, //12 February 2002, UT1-UTC=-0.1447929, Accumulated Leap Seconds=32 + { 2452318.50, 64.329416 }, //13 February 2002, UT1-UTC=-0.1454163, Accumulated Leap Seconds=32 + { 2452319.50, 64.330148 }, //14 February 2002, UT1-UTC=-0.1461477, Accumulated Leap Seconds=32 + { 2452320.50, 64.330980 }, //15 February 2002, UT1-UTC=-0.1469803, Accumulated Leap Seconds=32 + { 2452321.50, 64.331911 }, //16 February 2002, UT1-UTC=-0.1479109, Accumulated Leap Seconds=32 + { 2452322.50, 64.332942 }, //17 February 2002, UT1-UTC=-0.1489420, Accumulated Leap Seconds=32 + { 2452323.50, 64.334009 }, //18 February 2002, UT1-UTC=-0.1500088, Accumulated Leap Seconds=32 + { 2452324.50, 64.335041 }, //19 February 2002, UT1-UTC=-0.1510412, Accumulated Leap Seconds=32 + { 2452325.50, 64.336000 }, //20 February 2002, UT1-UTC=-0.1519999, Accumulated Leap Seconds=32 + { 2452326.50, 64.336876 }, //21 February 2002, UT1-UTC=-0.1528758, Accumulated Leap Seconds=32 + { 2452327.50, 64.337647 }, //22 February 2002, UT1-UTC=-0.1536466, Accumulated Leap Seconds=32 + { 2452328.50, 64.338341 }, //23 February 2002, UT1-UTC=-0.1543413, Accumulated Leap Seconds=32 + { 2452329.50, 64.339000 }, //24 February 2002, UT1-UTC=-0.1549999, Accumulated Leap Seconds=32 + { 2452330.50, 64.339754 }, //25 February 2002, UT1-UTC=-0.1557544, Accumulated Leap Seconds=32 + { 2452331.50, 64.340715 }, //26 February 2002, UT1-UTC=-0.1567153, Accumulated Leap Seconds=32 + { 2452332.50, 64.341943 }, //27 February 2002, UT1-UTC=-0.1579427, Accumulated Leap Seconds=32 + { 2452333.50, 64.343414 }, //28 February 2002, UT1-UTC=-0.1594139, Accumulated Leap Seconds=32 + { 2452334.50, 64.345013 }, //01 March 2002, UT1-UTC=-0.1610130, Accumulated Leap Seconds=32 + { 2452335.50, 64.346676 }, //02 March 2002, UT1-UTC=-0.1626763, Accumulated Leap Seconds=32 + { 2452336.50, 64.348281 }, //03 March 2002, UT1-UTC=-0.1642811, Accumulated Leap Seconds=32 + { 2452337.50, 64.349671 }, //04 March 2002, UT1-UTC=-0.1656714, Accumulated Leap Seconds=32 + { 2452338.50, 64.350792 }, //05 March 2002, UT1-UTC=-0.1667923, Accumulated Leap Seconds=32 + { 2452339.50, 64.351692 }, //06 March 2002, UT1-UTC=-0.1676924, Accumulated Leap Seconds=32 + { 2452340.50, 64.352420 }, //07 March 2002, UT1-UTC=-0.1684204, Accumulated Leap Seconds=32 + { 2452341.50, 64.353027 }, //08 March 2002, UT1-UTC=-0.1690271, Accumulated Leap Seconds=32 + { 2452342.50, 64.353578 }, //09 March 2002, UT1-UTC=-0.1695783, Accumulated Leap Seconds=32 + { 2452343.50, 64.354115 }, //10 March 2002, UT1-UTC=-0.1701147, Accumulated Leap Seconds=32 + { 2452344.50, 64.354726 }, //11 March 2002, UT1-UTC=-0.1707265, Accumulated Leap Seconds=32 + { 2452345.50, 64.355474 }, //12 March 2002, UT1-UTC=-0.1714742, Accumulated Leap Seconds=32 + { 2452346.50, 64.356370 }, //13 March 2002, UT1-UTC=-0.1723703, Accumulated Leap Seconds=32 + { 2452347.50, 64.357359 }, //14 March 2002, UT1-UTC=-0.1733587, Accumulated Leap Seconds=32 + { 2452348.50, 64.358353 }, //15 March 2002, UT1-UTC=-0.1743534, Accumulated Leap Seconds=32 + { 2452349.50, 64.359290 }, //16 March 2002, UT1-UTC=-0.1752898, Accumulated Leap Seconds=32 + { 2452350.50, 64.360179 }, //17 March 2002, UT1-UTC=-0.1761789, Accumulated Leap Seconds=32 + { 2452351.50, 64.361019 }, //18 March 2002, UT1-UTC=-0.1770191, Accumulated Leap Seconds=32 + { 2452352.50, 64.361769 }, //19 March 2002, UT1-UTC=-0.1777692, Accumulated Leap Seconds=32 + { 2452353.50, 64.362368 }, //20 March 2002, UT1-UTC=-0.1783677, Accumulated Leap Seconds=32 + { 2452354.50, 64.362833 }, //21 March 2002, UT1-UTC=-0.1788335, Accumulated Leap Seconds=32 + { 2452355.50, 64.363222 }, //22 March 2002, UT1-UTC=-0.1792219, Accumulated Leap Seconds=32 + { 2452356.50, 64.363603 }, //23 March 2002, UT1-UTC=-0.1796032, Accumulated Leap Seconds=32 + { 2452357.50, 64.364049 }, //24 March 2002, UT1-UTC=-0.1800487, Accumulated Leap Seconds=32 + { 2452358.50, 64.364658 }, //25 March 2002, UT1-UTC=-0.1806578, Accumulated Leap Seconds=32 + { 2452359.50, 64.365514 }, //26 March 2002, UT1-UTC=-0.1815139, Accumulated Leap Seconds=32 + { 2452360.50, 64.366663 }, //27 March 2002, UT1-UTC=-0.1826625, Accumulated Leap Seconds=32 + { 2452361.50, 64.368094 }, //28 March 2002, UT1-UTC=-0.1840935, Accumulated Leap Seconds=32 + { 2452362.50, 64.369654 }, //29 March 2002, UT1-UTC=-0.1856545, Accumulated Leap Seconds=32 + { 2452363.50, 64.371129 }, //30 March 2002, UT1-UTC=-0.1871290, Accumulated Leap Seconds=32 + { 2452364.50, 64.372410 }, //31 March 2002, UT1-UTC=-0.1884097, Accumulated Leap Seconds=32 + { 2452365.50, 64.373458 }, //01 April 2002, UT1-UTC=-0.1894584, Accumulated Leap Seconds=32 + { 2452366.50, 64.374263 }, //02 April 2002, UT1-UTC=-0.1902632, Accumulated Leap Seconds=32 + { 2452367.50, 64.374858 }, //03 April 2002, UT1-UTC=-0.1908576, Accumulated Leap Seconds=32 + { 2452368.50, 64.375294 }, //04 April 2002, UT1-UTC=-0.1912938, Accumulated Leap Seconds=32 + { 2452369.50, 64.375673 }, //05 April 2002, UT1-UTC=-0.1916733, Accumulated Leap Seconds=32 + { 2452370.50, 64.376073 }, //06 April 2002, UT1-UTC=-0.1920732, Accumulated Leap Seconds=32 + { 2452371.50, 64.376564 }, //07 April 2002, UT1-UTC=-0.1925641, Accumulated Leap Seconds=32 + { 2452372.50, 64.377149 }, //08 April 2002, UT1-UTC=-0.1931491, Accumulated Leap Seconds=32 + { 2452373.50, 64.377838 }, //09 April 2002, UT1-UTC=-0.1938376, Accumulated Leap Seconds=32 + { 2452374.50, 64.378639 }, //10 April 2002, UT1-UTC=-0.1946386, Accumulated Leap Seconds=32 + { 2452375.50, 64.379543 }, //11 April 2002, UT1-UTC=-0.1955434, Accumulated Leap Seconds=32 + { 2452376.50, 64.380507 }, //12 April 2002, UT1-UTC=-0.1965074, Accumulated Leap Seconds=32 + { 2452377.50, 64.381444 }, //13 April 2002, UT1-UTC=-0.1974443, Accumulated Leap Seconds=32 + { 2452378.50, 64.382290 }, //14 April 2002, UT1-UTC=-0.1982901, Accumulated Leap Seconds=32 + { 2452379.50, 64.383008 }, //15 April 2002, UT1-UTC=-0.1990076, Accumulated Leap Seconds=32 + { 2452380.50, 64.383563 }, //16 April 2002, UT1-UTC=-0.1995629, Accumulated Leap Seconds=32 + { 2452381.50, 64.383916 }, //17 April 2002, UT1-UTC=-0.1999155, Accumulated Leap Seconds=32 + { 2452382.50, 64.384194 }, //18 April 2002, UT1-UTC=-0.2001942, Accumulated Leap Seconds=32 + { 2452383.50, 64.384454 }, //19 April 2002, UT1-UTC=-0.2004544, Accumulated Leap Seconds=32 + { 2452384.50, 64.384674 }, //20 April 2002, UT1-UTC=-0.2006743, Accumulated Leap Seconds=32 + { 2452385.50, 64.384966 }, //21 April 2002, UT1-UTC=-0.2009659, Accumulated Leap Seconds=32 + { 2452386.50, 64.385462 }, //22 April 2002, UT1-UTC=-0.2014624, Accumulated Leap Seconds=32 + { 2452387.50, 64.386254 }, //23 April 2002, UT1-UTC=-0.2022539, Accumulated Leap Seconds=32 + { 2452388.50, 64.387313 }, //24 April 2002, UT1-UTC=-0.2033128, Accumulated Leap Seconds=32 + { 2452389.50, 64.388587 }, //25 April 2002, UT1-UTC=-0.2045866, Accumulated Leap Seconds=32 + { 2452390.50, 64.389994 }, //26 April 2002, UT1-UTC=-0.2059938, Accumulated Leap Seconds=32 + { 2452391.50, 64.391365 }, //27 April 2002, UT1-UTC=-0.2073654, Accumulated Leap Seconds=32 + { 2452392.50, 64.392533 }, //28 April 2002, UT1-UTC=-0.2085331, Accumulated Leap Seconds=32 + { 2452393.50, 64.393407 }, //29 April 2002, UT1-UTC=-0.2094074, Accumulated Leap Seconds=32 + { 2452394.50, 64.393996 }, //30 April 2002, UT1-UTC=-0.2099957, Accumulated Leap Seconds=32 + { 2452395.50, 64.394329 }, //01 May 2002, UT1-UTC=-0.2103291, Accumulated Leap Seconds=32 + { 2452396.50, 64.394553 }, //02 May 2002, UT1-UTC=-0.2105531, Accumulated Leap Seconds=32 + { 2452397.50, 64.394754 }, //03 May 2002, UT1-UTC=-0.2107538, Accumulated Leap Seconds=32 + { 2452398.50, 64.394992 }, //04 May 2002, UT1-UTC=-0.2109919, Accumulated Leap Seconds=32 + { 2452399.50, 64.395363 }, //05 May 2002, UT1-UTC=-0.2113629, Accumulated Leap Seconds=32 + { 2452400.50, 64.395911 }, //06 May 2002, UT1-UTC=-0.2119108, Accumulated Leap Seconds=32 + { 2452401.50, 64.396616 }, //07 May 2002, UT1-UTC=-0.2126161, Accumulated Leap Seconds=32 + { 2452402.50, 64.397446 }, //08 May 2002, UT1-UTC=-0.2134461, Accumulated Leap Seconds=32 + { 2452403.50, 64.398360 }, //09 May 2002, UT1-UTC=-0.2143605, Accumulated Leap Seconds=32 + { 2452404.50, 64.399327 }, //10 May 2002, UT1-UTC=-0.2153272, Accumulated Leap Seconds=32 + { 2452405.50, 64.400294 }, //11 May 2002, UT1-UTC=-0.2162937, Accumulated Leap Seconds=32 + { 2452406.50, 64.401196 }, //12 May 2002, UT1-UTC=-0.2171961, Accumulated Leap Seconds=32 + { 2452407.50, 64.402012 }, //13 May 2002, UT1-UTC=-0.2180117, Accumulated Leap Seconds=32 + { 2452408.50, 64.402729 }, //14 May 2002, UT1-UTC=-0.2187289, Accumulated Leap Seconds=32 + { 2452409.50, 64.403317 }, //15 May 2002, UT1-UTC=-0.2193166, Accumulated Leap Seconds=32 + { 2452410.50, 64.403856 }, //16 May 2002, UT1-UTC=-0.2198559, Accumulated Leap Seconds=32 + { 2452411.50, 64.404351 }, //17 May 2002, UT1-UTC=-0.2203514, Accumulated Leap Seconds=32 + { 2452412.50, 64.404863 }, //18 May 2002, UT1-UTC=-0.2208634, Accumulated Leap Seconds=32 + { 2452413.50, 64.405540 }, //19 May 2002, UT1-UTC=-0.2215396, Accumulated Leap Seconds=32 + { 2452414.50, 64.406449 }, //20 May 2002, UT1-UTC=-0.2224490, Accumulated Leap Seconds=32 + { 2452415.50, 64.407619 }, //21 May 2002, UT1-UTC=-0.2236193, Accumulated Leap Seconds=32 + { 2452416.50, 64.408988 }, //22 May 2002, UT1-UTC=-0.2249880, Accumulated Leap Seconds=32 + { 2452417.50, 64.410417 }, //23 May 2002, UT1-UTC=-0.2264168, Accumulated Leap Seconds=32 + { 2452418.50, 64.411798 }, //24 May 2002, UT1-UTC=-0.2277978, Accumulated Leap Seconds=32 + { 2452419.50, 64.413004 }, //25 May 2002, UT1-UTC=-0.2290038, Accumulated Leap Seconds=32 + { 2452420.50, 64.413922 }, //26 May 2002, UT1-UTC=-0.2299216, Accumulated Leap Seconds=32 + { 2452421.50, 64.414524 }, //27 May 2002, UT1-UTC=-0.2305238, Accumulated Leap Seconds=32 + { 2452422.50, 64.414850 }, //28 May 2002, UT1-UTC=-0.2308498, Accumulated Leap Seconds=32 + { 2452423.50, 64.414982 }, //29 May 2002, UT1-UTC=-0.2309822, Accumulated Leap Seconds=32 + { 2452424.50, 64.415023 }, //30 May 2002, UT1-UTC=-0.2310228, Accumulated Leap Seconds=32 + { 2452425.50, 64.415061 }, //31 May 2002, UT1-UTC=-0.2310614, Accumulated Leap Seconds=32 + { 2452426.50, 64.415116 }, //01 June 2002, UT1-UTC=-0.2311156, Accumulated Leap Seconds=32 + { 2452427.50, 64.415221 }, //02 June 2002, UT1-UTC=-0.2312210, Accumulated Leap Seconds=32 + { 2452428.50, 64.415385 }, //03 June 2002, UT1-UTC=-0.2313850, Accumulated Leap Seconds=32 + { 2452429.50, 64.415601 }, //04 June 2002, UT1-UTC=-0.2316011, Accumulated Leap Seconds=32 + { 2452430.50, 64.415817 }, //05 June 2002, UT1-UTC=-0.2318168, Accumulated Leap Seconds=32 + { 2452431.50, 64.415936 }, //06 June 2002, UT1-UTC=-0.2319358, Accumulated Leap Seconds=32 + { 2452432.50, 64.415953 }, //07 June 2002, UT1-UTC=-0.2319527, Accumulated Leap Seconds=32 + { 2452433.50, 64.415866 }, //08 June 2002, UT1-UTC=-0.2318656, Accumulated Leap Seconds=32 + { 2452434.50, 64.415637 }, //09 June 2002, UT1-UTC=-0.2316373, Accumulated Leap Seconds=32 + { 2452435.50, 64.415256 }, //10 June 2002, UT1-UTC=-0.2312558, Accumulated Leap Seconds=32 + { 2452436.50, 64.414726 }, //11 June 2002, UT1-UTC=-0.2307256, Accumulated Leap Seconds=32 + { 2452437.50, 64.414069 }, //12 June 2002, UT1-UTC=-0.2300693, Accumulated Leap Seconds=32 + { 2452438.50, 64.413390 }, //13 June 2002, UT1-UTC=-0.2293896, Accumulated Leap Seconds=32 + { 2452439.50, 64.412701 }, //14 June 2002, UT1-UTC=-0.2287007, Accumulated Leap Seconds=32 + { 2452440.50, 64.412185 }, //15 June 2002, UT1-UTC=-0.2281849, Accumulated Leap Seconds=32 + { 2452441.50, 64.411908 }, //16 June 2002, UT1-UTC=-0.2279079, Accumulated Leap Seconds=32 + { 2452442.50, 64.411893 }, //17 June 2002, UT1-UTC=-0.2278930, Accumulated Leap Seconds=32 + { 2452443.50, 64.412080 }, //18 June 2002, UT1-UTC=-0.2280801, Accumulated Leap Seconds=32 + { 2452444.50, 64.412359 }, //19 June 2002, UT1-UTC=-0.2283589, Accumulated Leap Seconds=32 + { 2452445.50, 64.412683 }, //20 June 2002, UT1-UTC=-0.2286830, Accumulated Leap Seconds=32 + { 2452446.50, 64.412987 }, //21 June 2002, UT1-UTC=-0.2289872, Accumulated Leap Seconds=32 + { 2452447.50, 64.413218 }, //22 June 2002, UT1-UTC=-0.2292182, Accumulated Leap Seconds=32 + { 2452448.50, 64.413302 }, //23 June 2002, UT1-UTC=-0.2293020, Accumulated Leap Seconds=32 + { 2452449.50, 64.413245 }, //24 June 2002, UT1-UTC=-0.2292446, Accumulated Leap Seconds=32 + { 2452450.50, 64.413110 }, //25 June 2002, UT1-UTC=-0.2291098, Accumulated Leap Seconds=32 + { 2452451.50, 64.412962 }, //26 June 2002, UT1-UTC=-0.2289625, Accumulated Leap Seconds=32 + { 2452452.50, 64.412828 }, //27 June 2002, UT1-UTC=-0.2288278, Accumulated Leap Seconds=32 + { 2452453.50, 64.412777 }, //28 June 2002, UT1-UTC=-0.2287767, Accumulated Leap Seconds=32 + { 2452454.50, 64.412835 }, //29 June 2002, UT1-UTC=-0.2288352, Accumulated Leap Seconds=32 + { 2452455.50, 64.412969 }, //30 June 2002, UT1-UTC=-0.2289689, Accumulated Leap Seconds=32 + { 2452456.50, 64.413206 }, //01 July 2002, UT1-UTC=-0.2292064, Accumulated Leap Seconds=32 + { 2452457.50, 64.413564 }, //02 July 2002, UT1-UTC=-0.2295636, Accumulated Leap Seconds=32 + { 2452458.50, 64.414011 }, //03 July 2002, UT1-UTC=-0.2300111, Accumulated Leap Seconds=32 + { 2452459.50, 64.414429 }, //04 July 2002, UT1-UTC=-0.2304294, Accumulated Leap Seconds=32 + { 2452460.50, 64.414786 }, //05 July 2002, UT1-UTC=-0.2307860, Accumulated Leap Seconds=32 + { 2452461.50, 64.415027 }, //06 July 2002, UT1-UTC=-0.2310266, Accumulated Leap Seconds=32 + { 2452462.50, 64.415123 }, //07 July 2002, UT1-UTC=-0.2311227, Accumulated Leap Seconds=32 + { 2452463.50, 64.415079 }, //08 July 2002, UT1-UTC=-0.2310794, Accumulated Leap Seconds=32 + { 2452464.50, 64.414914 }, //09 July 2002, UT1-UTC=-0.2309140, Accumulated Leap Seconds=32 + { 2452465.50, 64.414668 }, //10 July 2002, UT1-UTC=-0.2306679, Accumulated Leap Seconds=32 + { 2452466.50, 64.414390 }, //11 July 2002, UT1-UTC=-0.2303905, Accumulated Leap Seconds=32 + { 2452467.50, 64.414169 }, //12 July 2002, UT1-UTC=-0.2301687, Accumulated Leap Seconds=32 + { 2452468.50, 64.414184 }, //13 July 2002, UT1-UTC=-0.2301842, Accumulated Leap Seconds=32 + { 2452469.50, 64.414434 }, //14 July 2002, UT1-UTC=-0.2304341, Accumulated Leap Seconds=32 + { 2452470.50, 64.414894 }, //15 July 2002, UT1-UTC=-0.2308944, Accumulated Leap Seconds=32 + { 2452471.50, 64.415473 }, //16 July 2002, UT1-UTC=-0.2314728, Accumulated Leap Seconds=32 + { 2452472.50, 64.416047 }, //17 July 2002, UT1-UTC=-0.2320466, Accumulated Leap Seconds=32 + { 2452473.50, 64.416515 }, //18 July 2002, UT1-UTC=-0.2325153, Accumulated Leap Seconds=32 + { 2452474.50, 64.416806 }, //19 July 2002, UT1-UTC=-0.2328064, Accumulated Leap Seconds=32 + { 2452475.50, 64.416826 }, //20 July 2002, UT1-UTC=-0.2328256, Accumulated Leap Seconds=32 + { 2452476.50, 64.416549 }, //21 July 2002, UT1-UTC=-0.2325494, Accumulated Leap Seconds=32 + { 2452477.50, 64.416043 }, //22 July 2002, UT1-UTC=-0.2320432, Accumulated Leap Seconds=32 + { 2452478.50, 64.415400 }, //23 July 2002, UT1-UTC=-0.2313996, Accumulated Leap Seconds=32 + { 2452479.50, 64.414692 }, //24 July 2002, UT1-UTC=-0.2306922, Accumulated Leap Seconds=32 + { 2452480.50, 64.413988 }, //25 July 2002, UT1-UTC=-0.2299879, Accumulated Leap Seconds=32 + { 2452481.50, 64.413406 }, //26 July 2002, UT1-UTC=-0.2294060, Accumulated Leap Seconds=32 + { 2452482.50, 64.412964 }, //27 July 2002, UT1-UTC=-0.2289642, Accumulated Leap Seconds=32 + { 2452483.50, 64.412655 }, //28 July 2002, UT1-UTC=-0.2286554, Accumulated Leap Seconds=32 + { 2452484.50, 64.412457 }, //29 July 2002, UT1-UTC=-0.2284570, Accumulated Leap Seconds=32 + { 2452485.50, 64.412300 }, //30 July 2002, UT1-UTC=-0.2282995, Accumulated Leap Seconds=32 + { 2452486.50, 64.412106 }, //31 July 2002, UT1-UTC=-0.2281059, Accumulated Leap Seconds=32 + { 2452487.50, 64.411846 }, //01 August 2002, UT1-UTC=-0.2278464, Accumulated Leap Seconds=32 + { 2452488.50, 64.411512 }, //02 August 2002, UT1-UTC=-0.2275119, Accumulated Leap Seconds=32 + { 2452489.50, 64.411097 }, //03 August 2002, UT1-UTC=-0.2270973, Accumulated Leap Seconds=32 + { 2452490.50, 64.410556 }, //04 August 2002, UT1-UTC=-0.2265564, Accumulated Leap Seconds=32 + { 2452491.50, 64.409892 }, //05 August 2002, UT1-UTC=-0.2258918, Accumulated Leap Seconds=32 + { 2452492.50, 64.409160 }, //06 August 2002, UT1-UTC=-0.2251603, Accumulated Leap Seconds=32 + { 2452493.50, 64.408445 }, //07 August 2002, UT1-UTC=-0.2244446, Accumulated Leap Seconds=32 + { 2452494.50, 64.407856 }, //08 August 2002, UT1-UTC=-0.2238560, Accumulated Leap Seconds=32 + { 2452495.50, 64.407511 }, //09 August 2002, UT1-UTC=-0.2235111, Accumulated Leap Seconds=32 + { 2452496.50, 64.407477 }, //10 August 2002, UT1-UTC=-0.2234774, Accumulated Leap Seconds=32 + { 2452497.50, 64.407737 }, //11 August 2002, UT1-UTC=-0.2237373, Accumulated Leap Seconds=32 + { 2452498.50, 64.408218 }, //12 August 2002, UT1-UTC=-0.2242181, Accumulated Leap Seconds=32 + { 2452499.50, 64.408797 }, //13 August 2002, UT1-UTC=-0.2247973, Accumulated Leap Seconds=32 + { 2452500.50, 64.409321 }, //14 August 2002, UT1-UTC=-0.2253212, Accumulated Leap Seconds=32 + { 2452501.50, 64.409702 }, //15 August 2002, UT1-UTC=-0.2257019, Accumulated Leap Seconds=32 + { 2452502.50, 64.409859 }, //16 August 2002, UT1-UTC=-0.2258593, Accumulated Leap Seconds=32 + { 2452503.50, 64.409780 }, //17 August 2002, UT1-UTC=-0.2257801, Accumulated Leap Seconds=32 + { 2452504.50, 64.409524 }, //18 August 2002, UT1-UTC=-0.2255239, Accumulated Leap Seconds=32 + { 2452505.50, 64.409164 }, //19 August 2002, UT1-UTC=-0.2251639, Accumulated Leap Seconds=32 + { 2452506.50, 64.408774 }, //20 August 2002, UT1-UTC=-0.2247744, Accumulated Leap Seconds=32 + { 2452507.50, 64.408440 }, //21 August 2002, UT1-UTC=-0.2244398, Accumulated Leap Seconds=32 + { 2452508.50, 64.408268 }, //22 August 2002, UT1-UTC=-0.2242676, Accumulated Leap Seconds=32 + { 2452509.50, 64.408267 }, //23 August 2002, UT1-UTC=-0.2242667, Accumulated Leap Seconds=32 + { 2452510.50, 64.408354 }, //24 August 2002, UT1-UTC=-0.2243537, Accumulated Leap Seconds=32 + { 2452511.50, 64.408557 }, //25 August 2002, UT1-UTC=-0.2245567, Accumulated Leap Seconds=32 + { 2452512.50, 64.408842 }, //26 August 2002, UT1-UTC=-0.2248424, Accumulated Leap Seconds=32 + { 2452513.50, 64.409162 }, //27 August 2002, UT1-UTC=-0.2251621, Accumulated Leap Seconds=32 + { 2452514.50, 64.409469 }, //28 August 2002, UT1-UTC=-0.2254686, Accumulated Leap Seconds=32 + { 2452515.50, 64.409704 }, //29 August 2002, UT1-UTC=-0.2257036, Accumulated Leap Seconds=32 + { 2452516.50, 64.409814 }, //30 August 2002, UT1-UTC=-0.2258141, Accumulated Leap Seconds=32 + { 2452517.50, 64.409791 }, //31 August 2002, UT1-UTC=-0.2257909, Accumulated Leap Seconds=32 + { 2452518.50, 64.409654 }, //01 September 2002, UT1-UTC=-0.2256536, Accumulated Leap Seconds=32 + { 2452519.50, 64.409428 }, //02 September 2002, UT1-UTC=-0.2254281, Accumulated Leap Seconds=32 + { 2452520.50, 64.409168 }, //03 September 2002, UT1-UTC=-0.2251676, Accumulated Leap Seconds=32 + { 2452521.50, 64.408974 }, //04 September 2002, UT1-UTC=-0.2249739, Accumulated Leap Seconds=32 + { 2452522.50, 64.408953 }, //05 September 2002, UT1-UTC=-0.2249528, Accumulated Leap Seconds=32 + { 2452523.50, 64.409159 }, //06 September 2002, UT1-UTC=-0.2251587, Accumulated Leap Seconds=32 + { 2452524.50, 64.409690 }, //07 September 2002, UT1-UTC=-0.2256897, Accumulated Leap Seconds=32 + { 2452525.50, 64.410539 }, //08 September 2002, UT1-UTC=-0.2265390, Accumulated Leap Seconds=32 + { 2452526.50, 64.411565 }, //09 September 2002, UT1-UTC=-0.2275649, Accumulated Leap Seconds=32 + { 2452527.50, 64.412580 }, //10 September 2002, UT1-UTC=-0.2285800, Accumulated Leap Seconds=32 + { 2452528.50, 64.413409 }, //11 September 2002, UT1-UTC=-0.2294085, Accumulated Leap Seconds=32 + { 2452529.50, 64.413958 }, //12 September 2002, UT1-UTC=-0.2299584, Accumulated Leap Seconds=32 + { 2452530.50, 64.414288 }, //13 September 2002, UT1-UTC=-0.2302885, Accumulated Leap Seconds=32 + { 2452531.50, 64.414426 }, //14 September 2002, UT1-UTC=-0.2304264, Accumulated Leap Seconds=32 + { 2452532.50, 64.414433 }, //15 September 2002, UT1-UTC=-0.2304327, Accumulated Leap Seconds=32 + { 2452533.50, 64.414393 }, //16 September 2002, UT1-UTC=-0.2303933, Accumulated Leap Seconds=32 + { 2452534.50, 64.414370 }, //17 September 2002, UT1-UTC=-0.2303701, Accumulated Leap Seconds=32 + { 2452535.50, 64.414397 }, //18 September 2002, UT1-UTC=-0.2303971, Accumulated Leap Seconds=32 + { 2452536.50, 64.414518 }, //19 September 2002, UT1-UTC=-0.2305177, Accumulated Leap Seconds=32 + { 2452537.50, 64.414748 }, //20 September 2002, UT1-UTC=-0.2307477, Accumulated Leap Seconds=32 + { 2452538.50, 64.415080 }, //21 September 2002, UT1-UTC=-0.2310795, Accumulated Leap Seconds=32 + { 2452539.50, 64.415490 }, //22 September 2002, UT1-UTC=-0.2314898, Accumulated Leap Seconds=32 + { 2452540.50, 64.415941 }, //23 September 2002, UT1-UTC=-0.2319408, Accumulated Leap Seconds=32 + { 2452541.50, 64.416385 }, //24 September 2002, UT1-UTC=-0.2323847, Accumulated Leap Seconds=32 + { 2452542.50, 64.416755 }, //25 September 2002, UT1-UTC=-0.2327552, Accumulated Leap Seconds=32 + { 2452543.50, 64.417004 }, //26 September 2002, UT1-UTC=-0.2330039, Accumulated Leap Seconds=32 + { 2452544.50, 64.417103 }, //27 September 2002, UT1-UTC=-0.2331031, Accumulated Leap Seconds=32 + { 2452545.50, 64.417145 }, //28 September 2002, UT1-UTC=-0.2331446, Accumulated Leap Seconds=32 + { 2452546.50, 64.417066 }, //29 September 2002, UT1-UTC=-0.2330660, Accumulated Leap Seconds=32 + { 2452547.50, 64.416913 }, //30 September 2002, UT1-UTC=-0.2329126, Accumulated Leap Seconds=32 + { 2452548.50, 64.416783 }, //01 October 2002, UT1-UTC=-0.2327832, Accumulated Leap Seconds=32 + { 2452549.50, 64.416802 }, //02 October 2002, UT1-UTC=-0.2328021, Accumulated Leap Seconds=32 + { 2452550.50, 64.417001 }, //03 October 2002, UT1-UTC=-0.2330013, Accumulated Leap Seconds=32 + { 2452551.50, 64.417454 }, //04 October 2002, UT1-UTC=-0.2334542, Accumulated Leap Seconds=32 + { 2452552.50, 64.418256 }, //05 October 2002, UT1-UTC=-0.2342555, Accumulated Leap Seconds=32 + { 2452553.50, 64.419307 }, //06 October 2002, UT1-UTC=-0.2353067, Accumulated Leap Seconds=32 + { 2452554.50, 64.420457 }, //07 October 2002, UT1-UTC=-0.2364571, Accumulated Leap Seconds=32 + { 2452555.50, 64.421533 }, //08 October 2002, UT1-UTC=-0.2375330, Accumulated Leap Seconds=32 + { 2452556.50, 64.422403 }, //09 October 2002, UT1-UTC=-0.2384033, Accumulated Leap Seconds=32 + { 2452557.50, 64.423008 }, //10 October 2002, UT1-UTC=-0.2390083, Accumulated Leap Seconds=32 + { 2452558.50, 64.423363 }, //11 October 2002, UT1-UTC=-0.2393631, Accumulated Leap Seconds=32 + { 2452559.50, 64.423540 }, //12 October 2002, UT1-UTC=-0.2395402, Accumulated Leap Seconds=32 + { 2452560.50, 64.423657 }, //13 October 2002, UT1-UTC=-0.2396567, Accumulated Leap Seconds=32 + { 2452561.50, 64.423822 }, //14 October 2002, UT1-UTC=-0.2398217, Accumulated Leap Seconds=32 + { 2452562.50, 64.424091 }, //15 October 2002, UT1-UTC=-0.2400912, Accumulated Leap Seconds=32 + { 2452563.50, 64.424483 }, //16 October 2002, UT1-UTC=-0.2404829, Accumulated Leap Seconds=32 + { 2452564.50, 64.425016 }, //17 October 2002, UT1-UTC=-0.2410163, Accumulated Leap Seconds=32 + { 2452565.50, 64.425696 }, //18 October 2002, UT1-UTC=-0.2416962, Accumulated Leap Seconds=32 + { 2452566.50, 64.426430 }, //19 October 2002, UT1-UTC=-0.2424298, Accumulated Leap Seconds=32 + { 2452567.50, 64.427189 }, //20 October 2002, UT1-UTC=-0.2431891, Accumulated Leap Seconds=32 + { 2452568.50, 64.427946 }, //21 October 2002, UT1-UTC=-0.2439456, Accumulated Leap Seconds=32 + { 2452569.50, 64.428677 }, //22 October 2002, UT1-UTC=-0.2446767, Accumulated Leap Seconds=32 + { 2452570.50, 64.429347 }, //23 October 2002, UT1-UTC=-0.2453475, Accumulated Leap Seconds=32 + { 2452571.50, 64.429909 }, //24 October 2002, UT1-UTC=-0.2459090, Accumulated Leap Seconds=32 + { 2452572.50, 64.430336 }, //25 October 2002, UT1-UTC=-0.2463360, Accumulated Leap Seconds=32 + { 2452573.50, 64.430629 }, //26 October 2002, UT1-UTC=-0.2466288, Accumulated Leap Seconds=32 + { 2452574.50, 64.430846 }, //27 October 2002, UT1-UTC=-0.2468462, Accumulated Leap Seconds=32 + { 2452575.50, 64.431029 }, //28 October 2002, UT1-UTC=-0.2470293, Accumulated Leap Seconds=32 + { 2452576.50, 64.431203 }, //29 October 2002, UT1-UTC=-0.2472034, Accumulated Leap Seconds=32 + { 2452577.50, 64.431516 }, //30 October 2002, UT1-UTC=-0.2475164, Accumulated Leap Seconds=32 + { 2452578.50, 64.432081 }, //31 October 2002, UT1-UTC=-0.2480814, Accumulated Leap Seconds=32 + { 2452579.50, 64.432920 }, //01 November 2002, UT1-UTC=-0.2489200, Accumulated Leap Seconds=32 + { 2452580.50, 64.434022 }, //02 November 2002, UT1-UTC=-0.2500217, Accumulated Leap Seconds=32 + { 2452581.50, 64.435263 }, //03 November 2002, UT1-UTC=-0.2512630, Accumulated Leap Seconds=32 + { 2452582.50, 64.436491 }, //04 November 2002, UT1-UTC=-0.2524910, Accumulated Leap Seconds=32 + { 2452583.50, 64.437587 }, //05 November 2002, UT1-UTC=-0.2535866, Accumulated Leap Seconds=32 + { 2452584.50, 64.438400 }, //06 November 2002, UT1-UTC=-0.2544001, Accumulated Leap Seconds=32 + { 2452585.50, 64.438977 }, //07 November 2002, UT1-UTC=-0.2549773, Accumulated Leap Seconds=32 + { 2452586.50, 64.439326 }, //08 November 2002, UT1-UTC=-0.2553262, Accumulated Leap Seconds=32 + { 2452587.50, 64.439526 }, //09 November 2002, UT1-UTC=-0.2555263, Accumulated Leap Seconds=32 + { 2452588.50, 64.439625 }, //10 November 2002, UT1-UTC=-0.2556253, Accumulated Leap Seconds=32 + { 2452589.50, 64.439733 }, //11 November 2002, UT1-UTC=-0.2557333, Accumulated Leap Seconds=32 + { 2452590.50, 64.439923 }, //12 November 2002, UT1-UTC=-0.2559230, Accumulated Leap Seconds=32 + { 2452591.50, 64.440253 }, //13 November 2002, UT1-UTC=-0.2562531, Accumulated Leap Seconds=32 + { 2452592.50, 64.440745 }, //14 November 2002, UT1-UTC=-0.2567446, Accumulated Leap Seconds=32 + { 2452593.50, 64.441338 }, //15 November 2002, UT1-UTC=-0.2573380, Accumulated Leap Seconds=32 + { 2452594.50, 64.441978 }, //16 November 2002, UT1-UTC=-0.2579784, Accumulated Leap Seconds=32 + { 2452595.50, 64.442628 }, //17 November 2002, UT1-UTC=-0.2586282, Accumulated Leap Seconds=32 + { 2452596.50, 64.443240 }, //18 November 2002, UT1-UTC=-0.2592403, Accumulated Leap Seconds=32 + { 2452597.50, 64.443767 }, //19 November 2002, UT1-UTC=-0.2597669, Accumulated Leap Seconds=32 + { 2452598.50, 64.444139 }, //20 November 2002, UT1-UTC=-0.2601395, Accumulated Leap Seconds=32 + { 2452599.50, 64.444381 }, //21 November 2002, UT1-UTC=-0.2603806, Accumulated Leap Seconds=32 + { 2452600.50, 64.444572 }, //22 November 2002, UT1-UTC=-0.2605723, Accumulated Leap Seconds=32 + { 2452601.50, 64.444733 }, //23 November 2002, UT1-UTC=-0.2607330, Accumulated Leap Seconds=32 + { 2452602.50, 64.444893 }, //24 November 2002, UT1-UTC=-0.2608929, Accumulated Leap Seconds=32 + { 2452603.50, 64.445144 }, //25 November 2002, UT1-UTC=-0.2611440, Accumulated Leap Seconds=32 + { 2452604.50, 64.445566 }, //26 November 2002, UT1-UTC=-0.2615656, Accumulated Leap Seconds=32 + { 2452605.50, 64.446212 }, //27 November 2002, UT1-UTC=-0.2622115, Accumulated Leap Seconds=32 + { 2452606.50, 64.447130 }, //28 November 2002, UT1-UTC=-0.2631298, Accumulated Leap Seconds=32 + { 2452607.50, 64.448284 }, //29 November 2002, UT1-UTC=-0.2642837, Accumulated Leap Seconds=32 + { 2452608.50, 64.449629 }, //30 November 2002, UT1-UTC=-0.2656293, Accumulated Leap Seconds=32 + { 2452609.50, 64.451053 }, //01 December 2002, UT1-UTC=-0.2670529, Accumulated Leap Seconds=32 + { 2452610.50, 64.452408 }, //02 December 2002, UT1-UTC=-0.2684078, Accumulated Leap Seconds=32 + { 2452611.50, 64.453566 }, //03 December 2002, UT1-UTC=-0.2695660, Accumulated Leap Seconds=32 + { 2452612.50, 64.454448 }, //04 December 2002, UT1-UTC=-0.2704478, Accumulated Leap Seconds=32 + { 2452613.50, 64.455057 }, //05 December 2002, UT1-UTC=-0.2710566, Accumulated Leap Seconds=32 + { 2452614.50, 64.455424 }, //06 December 2002, UT1-UTC=-0.2714236, Accumulated Leap Seconds=32 + { 2452615.50, 64.455740 }, //07 December 2002, UT1-UTC=-0.2717396, Accumulated Leap Seconds=32 + { 2452616.50, 64.456121 }, //08 December 2002, UT1-UTC=-0.2721209, Accumulated Leap Seconds=32 + { 2452617.50, 64.456641 }, //09 December 2002, UT1-UTC=-0.2726412, Accumulated Leap Seconds=32 + { 2452618.50, 64.457336 }, //10 December 2002, UT1-UTC=-0.2733357, Accumulated Leap Seconds=32 + { 2452619.50, 64.458191 }, //11 December 2002, UT1-UTC=-0.2741907, Accumulated Leap Seconds=32 + { 2452620.50, 64.459186 }, //12 December 2002, UT1-UTC=-0.2751856, Accumulated Leap Seconds=32 + { 2452621.50, 64.460197 }, //13 December 2002, UT1-UTC=-0.2761973, Accumulated Leap Seconds=32 + { 2452622.50, 64.461257 }, //14 December 2002, UT1-UTC=-0.2772572, Accumulated Leap Seconds=32 + { 2452623.50, 64.462260 }, //15 December 2002, UT1-UTC=-0.2782595, Accumulated Leap Seconds=32 + { 2452624.50, 64.463143 }, //16 December 2002, UT1-UTC=-0.2791429, Accumulated Leap Seconds=32 + { 2452625.50, 64.463866 }, //17 December 2002, UT1-UTC=-0.2798662, Accumulated Leap Seconds=32 + { 2452626.50, 64.464432 }, //18 December 2002, UT1-UTC=-0.2804324, Accumulated Leap Seconds=32 + { 2452627.50, 64.464807 }, //19 December 2002, UT1-UTC=-0.2808068, Accumulated Leap Seconds=32 + { 2452628.50, 64.465029 }, //20 December 2002, UT1-UTC=-0.2810295, Accumulated Leap Seconds=32 + { 2452629.50, 64.465210 }, //21 December 2002, UT1-UTC=-0.2812100, Accumulated Leap Seconds=32 + { 2452630.50, 64.465387 }, //22 December 2002, UT1-UTC=-0.2813870, Accumulated Leap Seconds=32 + { 2452631.50, 64.465638 }, //23 December 2002, UT1-UTC=-0.2816384, Accumulated Leap Seconds=32 + { 2452632.50, 64.466081 }, //24 December 2002, UT1-UTC=-0.2820811, Accumulated Leap Seconds=32 + { 2452633.50, 64.466800 }, //25 December 2002, UT1-UTC=-0.2828001, Accumulated Leap Seconds=32 + { 2452634.50, 64.467765 }, //26 December 2002, UT1-UTC=-0.2837648, Accumulated Leap Seconds=32 + { 2452635.50, 64.468896 }, //27 December 2002, UT1-UTC=-0.2848960, Accumulated Leap Seconds=32 + { 2452636.50, 64.470082 }, //28 December 2002, UT1-UTC=-0.2860823, Accumulated Leap Seconds=32 + { 2452637.50, 64.471207 }, //29 December 2002, UT1-UTC=-0.2872075, Accumulated Leap Seconds=32 + { 2452638.50, 64.472165 }, //30 December 2002, UT1-UTC=-0.2881649, Accumulated Leap Seconds=32 + { 2452639.50, 64.472901 }, //31 December 2002, UT1-UTC=-0.2889012, Accumulated Leap Seconds=32 + { 2452640.50, 64.473428 }, //01 January 2003, UT1-UTC=-0.2894276, Accumulated Leap Seconds=32 + { 2452641.50, 64.473785 }, //02 January 2003, UT1-UTC=-0.2897847, Accumulated Leap Seconds=32 + { 2452642.50, 64.474091 }, //03 January 2003, UT1-UTC=-0.2900905, Accumulated Leap Seconds=32 + { 2452643.50, 64.474430 }, //04 January 2003, UT1-UTC=-0.2904298, Accumulated Leap Seconds=32 + { 2452644.50, 64.474811 }, //05 January 2003, UT1-UTC=-0.2908112, Accumulated Leap Seconds=32 + { 2452645.50, 64.475324 }, //06 January 2003, UT1-UTC=-0.2913240, Accumulated Leap Seconds=32 + { 2452646.50, 64.476019 }, //07 January 2003, UT1-UTC=-0.2920188, Accumulated Leap Seconds=32 + { 2452647.50, 64.476840 }, //08 January 2003, UT1-UTC=-0.2928401, Accumulated Leap Seconds=32 + { 2452648.50, 64.477714 }, //09 January 2003, UT1-UTC=-0.2937142, Accumulated Leap Seconds=32 + { 2452649.50, 64.478625 }, //10 January 2003, UT1-UTC=-0.2946250, Accumulated Leap Seconds=32 + { 2452650.50, 64.479555 }, //11 January 2003, UT1-UTC=-0.2955554, Accumulated Leap Seconds=32 + { 2452651.50, 64.480459 }, //12 January 2003, UT1-UTC=-0.2964593, Accumulated Leap Seconds=32 + { 2452652.50, 64.481254 }, //13 January 2003, UT1-UTC=-0.2972536, Accumulated Leap Seconds=32 + { 2452653.50, 64.481903 }, //14 January 2003, UT1-UTC=-0.2979028, Accumulated Leap Seconds=32 + { 2452654.50, 64.482410 }, //15 January 2003, UT1-UTC=-0.2984095, Accumulated Leap Seconds=32 + { 2452655.50, 64.482761 }, //16 January 2003, UT1-UTC=-0.2987611, Accumulated Leap Seconds=32 + { 2452656.50, 64.482994 }, //17 January 2003, UT1-UTC=-0.2989943, Accumulated Leap Seconds=32 + { 2452657.50, 64.483203 }, //18 January 2003, UT1-UTC=-0.2992026, Accumulated Leap Seconds=32 + { 2452658.50, 64.483485 }, //19 January 2003, UT1-UTC=-0.2994845, Accumulated Leap Seconds=32 + { 2452659.50, 64.483895 }, //20 January 2003, UT1-UTC=-0.2998952, Accumulated Leap Seconds=32 + { 2452660.50, 64.484452 }, //21 January 2003, UT1-UTC=-0.3004516, Accumulated Leap Seconds=32 + { 2452661.50, 64.485158 }, //22 January 2003, UT1-UTC=-0.3011576, Accumulated Leap Seconds=32 + { 2452662.50, 64.485980 }, //23 January 2003, UT1-UTC=-0.3019797, Accumulated Leap Seconds=32 + { 2452663.50, 64.486861 }, //24 January 2003, UT1-UTC=-0.3028613, Accumulated Leap Seconds=32 + { 2452664.50, 64.487754 }, //25 January 2003, UT1-UTC=-0.3037536, Accumulated Leap Seconds=32 + { 2452665.50, 64.488515 }, //26 January 2003, UT1-UTC=-0.3045155, Accumulated Leap Seconds=32 + { 2452666.50, 64.489042 }, //27 January 2003, UT1-UTC=-0.3050423, Accumulated Leap Seconds=32 + { 2452667.50, 64.489322 }, //28 January 2003, UT1-UTC=-0.3053217, Accumulated Leap Seconds=32 + { 2452668.50, 64.489400 }, //29 January 2003, UT1-UTC=-0.3054000, Accumulated Leap Seconds=32 + { 2452669.50, 64.489389 }, //30 January 2003, UT1-UTC=-0.3053888, Accumulated Leap Seconds=32 + { 2452670.50, 64.489353 }, //31 January 2003, UT1-UTC=-0.3053530, Accumulated Leap Seconds=32 + { 2452671.50, 64.489338 }, //01 February 2003, UT1-UTC=-0.3053377, Accumulated Leap Seconds=32 + { 2452672.50, 64.489421 }, //02 February 2003, UT1-UTC=-0.3054213, Accumulated Leap Seconds=32 + { 2452673.50, 64.489683 }, //03 February 2003, UT1-UTC=-0.3056832, Accumulated Leap Seconds=32 + { 2452674.50, 64.490173 }, //04 February 2003, UT1-UTC=-0.3061727, Accumulated Leap Seconds=32 + { 2452675.50, 64.490869 }, //05 February 2003, UT1-UTC=-0.3068687, Accumulated Leap Seconds=32 + { 2452676.50, 64.491646 }, //06 February 2003, UT1-UTC=-0.3076458, Accumulated Leap Seconds=32 + { 2452677.50, 64.492425 }, //07 February 2003, UT1-UTC=-0.3084246, Accumulated Leap Seconds=32 + { 2452678.50, 64.493132 }, //08 February 2003, UT1-UTC=-0.3091320, Accumulated Leap Seconds=32 + { 2452679.50, 64.493734 }, //09 February 2003, UT1-UTC=-0.3097340, Accumulated Leap Seconds=32 + { 2452680.50, 64.494225 }, //10 February 2003, UT1-UTC=-0.3102252, Accumulated Leap Seconds=32 + { 2452681.50, 64.494588 }, //11 February 2003, UT1-UTC=-0.3105885, Accumulated Leap Seconds=32 + { 2452682.50, 64.494842 }, //12 February 2003, UT1-UTC=-0.3108423, Accumulated Leap Seconds=32 + { 2452683.50, 64.495079 }, //13 February 2003, UT1-UTC=-0.3110792, Accumulated Leap Seconds=32 + { 2452684.50, 64.495373 }, //14 February 2003, UT1-UTC=-0.3113728, Accumulated Leap Seconds=32 + { 2452685.50, 64.495730 }, //15 February 2003, UT1-UTC=-0.3117305, Accumulated Leap Seconds=32 + { 2452686.50, 64.496182 }, //16 February 2003, UT1-UTC=-0.3121823, Accumulated Leap Seconds=32 + { 2452687.50, 64.496853 }, //17 February 2003, UT1-UTC=-0.3128526, Accumulated Leap Seconds=32 + { 2452688.50, 64.497786 }, //18 February 2003, UT1-UTC=-0.3137861, Accumulated Leap Seconds=32 + { 2452689.50, 64.498935 }, //19 February 2003, UT1-UTC=-0.3149354, Accumulated Leap Seconds=32 + { 2452690.50, 64.500186 }, //20 February 2003, UT1-UTC=-0.3161861, Accumulated Leap Seconds=32 + { 2452691.50, 64.501426 }, //21 February 2003, UT1-UTC=-0.3174260, Accumulated Leap Seconds=32 + { 2452692.50, 64.502518 }, //22 February 2003, UT1-UTC=-0.3185178, Accumulated Leap Seconds=32 + { 2452693.50, 64.503363 }, //23 February 2003, UT1-UTC=-0.3193628, Accumulated Leap Seconds=32 + { 2452694.50, 64.503957 }, //24 February 2003, UT1-UTC=-0.3199575, Accumulated Leap Seconds=32 + { 2452695.50, 64.504348 }, //25 February 2003, UT1-UTC=-0.3203477, Accumulated Leap Seconds=32 + { 2452696.50, 64.504606 }, //26 February 2003, UT1-UTC=-0.3206057, Accumulated Leap Seconds=32 + { 2452697.50, 64.504827 }, //27 February 2003, UT1-UTC=-0.3208274, Accumulated Leap Seconds=32 + { 2452698.50, 64.505062 }, //28 February 2003, UT1-UTC=-0.3210616, Accumulated Leap Seconds=32 + { 2452699.50, 64.505334 }, //01 March 2003, UT1-UTC=-0.3213342, Accumulated Leap Seconds=32 + { 2452700.50, 64.505729 }, //02 March 2003, UT1-UTC=-0.3217285, Accumulated Leap Seconds=32 + { 2452701.50, 64.506277 }, //03 March 2003, UT1-UTC=-0.3222769, Accumulated Leap Seconds=32 + { 2452702.50, 64.506934 }, //04 March 2003, UT1-UTC=-0.3229339, Accumulated Leap Seconds=32 + { 2452703.50, 64.507598 }, //05 March 2003, UT1-UTC=-0.3235981, Accumulated Leap Seconds=32 + { 2452704.50, 64.508284 }, //06 March 2003, UT1-UTC=-0.3242836, Accumulated Leap Seconds=32 + { 2452705.50, 64.508988 }, //07 March 2003, UT1-UTC=-0.3249880, Accumulated Leap Seconds=32 + { 2452706.50, 64.509634 }, //08 March 2003, UT1-UTC=-0.3256338, Accumulated Leap Seconds=32 + { 2452707.50, 64.510205 }, //09 March 2003, UT1-UTC=-0.3262047, Accumulated Leap Seconds=32 + { 2452708.50, 64.510699 }, //10 March 2003, UT1-UTC=-0.3266992, Accumulated Leap Seconds=32 + { 2452709.50, 64.511113 }, //11 March 2003, UT1-UTC=-0.3271130, Accumulated Leap Seconds=32 + { 2452710.50, 64.511441 }, //12 March 2003, UT1-UTC=-0.3274410, Accumulated Leap Seconds=32 + { 2452711.50, 64.511767 }, //13 March 2003, UT1-UTC=-0.3277667, Accumulated Leap Seconds=32 + { 2452712.50, 64.512122 }, //14 March 2003, UT1-UTC=-0.3281217, Accumulated Leap Seconds=32 + { 2452713.50, 64.512623 }, //15 March 2003, UT1-UTC=-0.3286228, Accumulated Leap Seconds=32 + { 2452714.50, 64.513353 }, //16 March 2003, UT1-UTC=-0.3293535, Accumulated Leap Seconds=32 + { 2452715.50, 64.514382 }, //17 March 2003, UT1-UTC=-0.3303825, Accumulated Leap Seconds=32 + { 2452716.50, 64.515706 }, //18 March 2003, UT1-UTC=-0.3317064, Accumulated Leap Seconds=32 + { 2452717.50, 64.517215 }, //19 March 2003, UT1-UTC=-0.3332146, Accumulated Leap Seconds=32 + { 2452718.50, 64.518755 }, //20 March 2003, UT1-UTC=-0.3347550, Accumulated Leap Seconds=32 + { 2452719.50, 64.520155 }, //21 March 2003, UT1-UTC=-0.3361548, Accumulated Leap Seconds=32 + { 2452720.50, 64.521291 }, //22 March 2003, UT1-UTC=-0.3372912, Accumulated Leap Seconds=32 + { 2452721.50, 64.522120 }, //23 March 2003, UT1-UTC=-0.3381200, Accumulated Leap Seconds=32 + { 2452722.50, 64.522663 }, //24 March 2003, UT1-UTC=-0.3386631, Accumulated Leap Seconds=32 + { 2452723.50, 64.523002 }, //25 March 2003, UT1-UTC=-0.3390021, Accumulated Leap Seconds=32 + { 2452724.50, 64.523243 }, //26 March 2003, UT1-UTC=-0.3392432, Accumulated Leap Seconds=32 + { 2452725.50, 64.523530 }, //27 March 2003, UT1-UTC=-0.3395301, Accumulated Leap Seconds=32 + { 2452726.50, 64.523936 }, //28 March 2003, UT1-UTC=-0.3399356, Accumulated Leap Seconds=32 + { 2452727.50, 64.524478 }, //29 March 2003, UT1-UTC=-0.3404782, Accumulated Leap Seconds=32 + { 2452728.50, 64.525174 }, //30 March 2003, UT1-UTC=-0.3411741, Accumulated Leap Seconds=32 + { 2452729.50, 64.526002 }, //31 March 2003, UT1-UTC=-0.3420023, Accumulated Leap Seconds=32 + { 2452730.50, 64.526919 }, //01 April 2003, UT1-UTC=-0.3429189, Accumulated Leap Seconds=32 + { 2452731.50, 64.527875 }, //02 April 2003, UT1-UTC=-0.3438752, Accumulated Leap Seconds=32 + { 2452732.50, 64.528859 }, //03 April 2003, UT1-UTC=-0.3448588, Accumulated Leap Seconds=32 + { 2452733.50, 64.529789 }, //04 April 2003, UT1-UTC=-0.3457889, Accumulated Leap Seconds=32 + { 2452734.50, 64.530603 }, //05 April 2003, UT1-UTC=-0.3466028, Accumulated Leap Seconds=32 + { 2452735.50, 64.531323 }, //06 April 2003, UT1-UTC=-0.3473228, Accumulated Leap Seconds=32 + { 2452736.50, 64.531916 }, //07 April 2003, UT1-UTC=-0.3479159, Accumulated Leap Seconds=32 + { 2452737.50, 64.532364 }, //08 April 2003, UT1-UTC=-0.3483635, Accumulated Leap Seconds=32 + { 2452738.50, 64.532696 }, //09 April 2003, UT1-UTC=-0.3486963, Accumulated Leap Seconds=32 + { 2452739.50, 64.533016 }, //10 April 2003, UT1-UTC=-0.3490161, Accumulated Leap Seconds=32 + { 2452740.50, 64.533410 }, //11 April 2003, UT1-UTC=-0.3494104, Accumulated Leap Seconds=32 + { 2452741.50, 64.533957 }, //12 April 2003, UT1-UTC=-0.3499565, Accumulated Leap Seconds=32 + { 2452742.50, 64.534757 }, //13 April 2003, UT1-UTC=-0.3507569, Accumulated Leap Seconds=32 + { 2452743.50, 64.535858 }, //14 April 2003, UT1-UTC=-0.3518583, Accumulated Leap Seconds=32 + { 2452744.50, 64.537221 }, //15 April 2003, UT1-UTC=-0.3532211, Accumulated Leap Seconds=32 + { 2452745.50, 64.538705 }, //16 April 2003, UT1-UTC=-0.3547053, Accumulated Leap Seconds=32 + { 2452746.50, 64.540127 }, //17 April 2003, UT1-UTC=-0.3561266, Accumulated Leap Seconds=32 + { 2452747.50, 64.541296 }, //18 April 2003, UT1-UTC=-0.3572959, Accumulated Leap Seconds=32 + { 2452748.50, 64.542153 }, //19 April 2003, UT1-UTC=-0.3581530, Accumulated Leap Seconds=32 + { 2452749.50, 64.542637 }, //20 April 2003, UT1-UTC=-0.3586367, Accumulated Leap Seconds=32 + { 2452750.50, 64.542822 }, //21 April 2003, UT1-UTC=-0.3588223, Accumulated Leap Seconds=32 + { 2452751.50, 64.542880 }, //22 April 2003, UT1-UTC=-0.3588803, Accumulated Leap Seconds=32 + { 2452752.50, 64.542912 }, //23 April 2003, UT1-UTC=-0.3589122, Accumulated Leap Seconds=32 + { 2452753.50, 64.543029 }, //24 April 2003, UT1-UTC=-0.3590290, Accumulated Leap Seconds=32 + { 2452754.50, 64.543289 }, //25 April 2003, UT1-UTC=-0.3592890, Accumulated Leap Seconds=32 + { 2452755.50, 64.543682 }, //26 April 2003, UT1-UTC=-0.3596822, Accumulated Leap Seconds=32 + { 2452756.50, 64.544228 }, //27 April 2003, UT1-UTC=-0.3602284, Accumulated Leap Seconds=32 + { 2452757.50, 64.544899 }, //28 April 2003, UT1-UTC=-0.3608987, Accumulated Leap Seconds=32 + { 2452758.50, 64.545645 }, //29 April 2003, UT1-UTC=-0.3616448, Accumulated Leap Seconds=32 + { 2452759.50, 64.546403 }, //30 April 2003, UT1-UTC=-0.3624026, Accumulated Leap Seconds=32 + { 2452760.50, 64.547094 }, //01 May 2003, UT1-UTC=-0.3630942, Accumulated Leap Seconds=32 + { 2452761.50, 64.547628 }, //02 May 2003, UT1-UTC=-0.3636280, Accumulated Leap Seconds=32 + { 2452762.50, 64.547973 }, //03 May 2003, UT1-UTC=-0.3639732, Accumulated Leap Seconds=32 + { 2452763.50, 64.548128 }, //04 May 2003, UT1-UTC=-0.3641276, Accumulated Leap Seconds=32 + { 2452764.50, 64.548114 }, //05 May 2003, UT1-UTC=-0.3641144, Accumulated Leap Seconds=32 + { 2452765.50, 64.548018 }, //06 May 2003, UT1-UTC=-0.3640185, Accumulated Leap Seconds=32 + { 2452766.50, 64.547916 }, //07 May 2003, UT1-UTC=-0.3639165, Accumulated Leap Seconds=32 + { 2452767.50, 64.547832 }, //08 May 2003, UT1-UTC=-0.3638322, Accumulated Leap Seconds=32 + { 2452768.50, 64.547906 }, //09 May 2003, UT1-UTC=-0.3639056, Accumulated Leap Seconds=32 + { 2452769.50, 64.548200 }, //10 May 2003, UT1-UTC=-0.3642002, Accumulated Leap Seconds=32 + { 2452770.50, 64.548731 }, //11 May 2003, UT1-UTC=-0.3647308, Accumulated Leap Seconds=32 + { 2452771.50, 64.549519 }, //12 May 2003, UT1-UTC=-0.3655190, Accumulated Leap Seconds=32 + { 2452772.50, 64.550554 }, //13 May 2003, UT1-UTC=-0.3665539, Accumulated Leap Seconds=32 + { 2452773.50, 64.551757 }, //14 May 2003, UT1-UTC=-0.3677575, Accumulated Leap Seconds=32 + { 2452774.50, 64.552942 }, //15 May 2003, UT1-UTC=-0.3689420, Accumulated Leap Seconds=32 + { 2452775.50, 64.553910 }, //16 May 2003, UT1-UTC=-0.3699096, Accumulated Leap Seconds=32 + { 2452776.50, 64.554540 }, //17 May 2003, UT1-UTC=-0.3705404, Accumulated Leap Seconds=32 + { 2452777.50, 64.554887 }, //18 May 2003, UT1-UTC=-0.3708873, Accumulated Leap Seconds=32 + { 2452778.50, 64.555057 }, //19 May 2003, UT1-UTC=-0.3710574, Accumulated Leap Seconds=32 + { 2452779.50, 64.555209 }, //20 May 2003, UT1-UTC=-0.3712090, Accumulated Leap Seconds=32 + { 2452780.50, 64.555425 }, //21 May 2003, UT1-UTC=-0.3714253, Accumulated Leap Seconds=32 + { 2452781.50, 64.555742 }, //22 May 2003, UT1-UTC=-0.3717424, Accumulated Leap Seconds=32 + { 2452782.50, 64.556198 }, //23 May 2003, UT1-UTC=-0.3721978, Accumulated Leap Seconds=32 + { 2452783.50, 64.556768 }, //24 May 2003, UT1-UTC=-0.3727682, Accumulated Leap Seconds=32 + { 2452784.50, 64.557413 }, //25 May 2003, UT1-UTC=-0.3734133, Accumulated Leap Seconds=32 + { 2452785.50, 64.558060 }, //26 May 2003, UT1-UTC=-0.3740601, Accumulated Leap Seconds=32 + { 2452786.50, 64.558653 }, //27 May 2003, UT1-UTC=-0.3746528, Accumulated Leap Seconds=32 + { 2452787.50, 64.559158 }, //28 May 2003, UT1-UTC=-0.3751579, Accumulated Leap Seconds=32 + { 2452788.50, 64.559540 }, //29 May 2003, UT1-UTC=-0.3755405, Accumulated Leap Seconds=32 + { 2452789.50, 64.559772 }, //30 May 2003, UT1-UTC=-0.3757718, Accumulated Leap Seconds=32 + { 2452790.50, 64.559823 }, //31 May 2003, UT1-UTC=-0.3758233, Accumulated Leap Seconds=32 + { 2452791.50, 64.559673 }, //01 June 2003, UT1-UTC=-0.3756729, Accumulated Leap Seconds=32 + { 2452792.50, 64.559367 }, //02 June 2003, UT1-UTC=-0.3753667, Accumulated Leap Seconds=32 + { 2452793.50, 64.558970 }, //03 June 2003, UT1-UTC=-0.3749699, Accumulated Leap Seconds=32 + { 2452794.50, 64.558515 }, //04 June 2003, UT1-UTC=-0.3745145, Accumulated Leap Seconds=32 + { 2452795.50, 64.558060 }, //05 June 2003, UT1-UTC=-0.3740604, Accumulated Leap Seconds=32 + { 2452796.50, 64.557745 }, //06 June 2003, UT1-UTC=-0.3737450, Accumulated Leap Seconds=32 + { 2452797.50, 64.557661 }, //07 June 2003, UT1-UTC=-0.3736611, Accumulated Leap Seconds=32 + { 2452798.50, 64.557832 }, //08 June 2003, UT1-UTC=-0.3738321, Accumulated Leap Seconds=32 + { 2452799.50, 64.558238 }, //09 June 2003, UT1-UTC=-0.3742377, Accumulated Leap Seconds=32 + { 2452800.50, 64.558771 }, //10 June 2003, UT1-UTC=-0.3747707, Accumulated Leap Seconds=32 + { 2452801.50, 64.559271 }, //11 June 2003, UT1-UTC=-0.3752706, Accumulated Leap Seconds=32 + { 2452802.50, 64.559596 }, //12 June 2003, UT1-UTC=-0.3755955, Accumulated Leap Seconds=32 + { 2452803.50, 64.559629 }, //13 June 2003, UT1-UTC=-0.3756285, Accumulated Leap Seconds=32 + { 2452804.50, 64.559332 }, //14 June 2003, UT1-UTC=-0.3753325, Accumulated Leap Seconds=32 + { 2452805.50, 64.558783 }, //15 June 2003, UT1-UTC=-0.3747830, Accumulated Leap Seconds=32 + { 2452806.50, 64.558104 }, //16 June 2003, UT1-UTC=-0.3741045, Accumulated Leap Seconds=32 + { 2452807.50, 64.557434 }, //17 June 2003, UT1-UTC=-0.3734337, Accumulated Leap Seconds=32 + { 2452808.50, 64.556872 }, //18 June 2003, UT1-UTC=-0.3728718, Accumulated Leap Seconds=32 + { 2452809.50, 64.556472 }, //19 June 2003, UT1-UTC=-0.3724717, Accumulated Leap Seconds=32 + { 2452810.50, 64.556240 }, //20 June 2003, UT1-UTC=-0.3722403, Accumulated Leap Seconds=32 + { 2452811.50, 64.556122 }, //21 June 2003, UT1-UTC=-0.3721221, Accumulated Leap Seconds=32 + { 2452812.50, 64.556050 }, //22 June 2003, UT1-UTC=-0.3720500, Accumulated Leap Seconds=32 + { 2452813.50, 64.555965 }, //23 June 2003, UT1-UTC=-0.3719645, Accumulated Leap Seconds=32 + { 2452814.50, 64.555811 }, //24 June 2003, UT1-UTC=-0.3718111, Accumulated Leap Seconds=32 + { 2452815.50, 64.555541 }, //25 June 2003, UT1-UTC=-0.3715413, Accumulated Leap Seconds=32 + { 2452816.50, 64.555126 }, //26 June 2003, UT1-UTC=-0.3711262, Accumulated Leap Seconds=32 + { 2452817.50, 64.554566 }, //27 June 2003, UT1-UTC=-0.3705659, Accumulated Leap Seconds=32 + { 2452818.50, 64.553862 }, //28 June 2003, UT1-UTC=-0.3698619, Accumulated Leap Seconds=32 + { 2452819.50, 64.553037 }, //29 June 2003, UT1-UTC=-0.3690369, Accumulated Leap Seconds=32 + { 2452820.50, 64.552135 }, //30 June 2003, UT1-UTC=-0.3681352, Accumulated Leap Seconds=32 + { 2452821.50, 64.551229 }, //01 July 2003, UT1-UTC=-0.3672293, Accumulated Leap Seconds=32 + { 2452822.50, 64.550398 }, //02 July 2003, UT1-UTC=-0.3663979, Accumulated Leap Seconds=32 + { 2452823.50, 64.549688 }, //03 July 2003, UT1-UTC=-0.3656883, Accumulated Leap Seconds=32 + { 2452824.50, 64.549135 }, //04 July 2003, UT1-UTC=-0.3651348, Accumulated Leap Seconds=32 + { 2452825.50, 64.548773 }, //05 July 2003, UT1-UTC=-0.3647734, Accumulated Leap Seconds=32 + { 2452826.50, 64.548561 }, //06 July 2003, UT1-UTC=-0.3645612, Accumulated Leap Seconds=32 + { 2452827.50, 64.548420 }, //07 July 2003, UT1-UTC=-0.3644204, Accumulated Leap Seconds=32 + { 2452828.50, 64.548263 }, //08 July 2003, UT1-UTC=-0.3642627, Accumulated Leap Seconds=32 + { 2452829.50, 64.548005 }, //09 July 2003, UT1-UTC=-0.3640050, Accumulated Leap Seconds=32 + { 2452830.50, 64.547533 }, //10 July 2003, UT1-UTC=-0.3635334, Accumulated Leap Seconds=32 + { 2452831.50, 64.546816 }, //11 July 2003, UT1-UTC=-0.3628156, Accumulated Leap Seconds=32 + { 2452832.50, 64.545917 }, //12 July 2003, UT1-UTC=-0.3619172, Accumulated Leap Seconds=32 + { 2452833.50, 64.544953 }, //13 July 2003, UT1-UTC=-0.3609529, Accumulated Leap Seconds=32 + { 2452834.50, 64.544025 }, //14 July 2003, UT1-UTC=-0.3600250, Accumulated Leap Seconds=32 + { 2452835.50, 64.543223 }, //15 July 2003, UT1-UTC=-0.3592228, Accumulated Leap Seconds=32 + { 2452836.50, 64.542619 }, //16 July 2003, UT1-UTC=-0.3586193, Accumulated Leap Seconds=32 + { 2452837.50, 64.542238 }, //17 July 2003, UT1-UTC=-0.3582378, Accumulated Leap Seconds=32 + { 2452838.50, 64.542022 }, //18 July 2003, UT1-UTC=-0.3580219, Accumulated Leap Seconds=32 + { 2452839.50, 64.541894 }, //19 July 2003, UT1-UTC=-0.3578936, Accumulated Leap Seconds=32 + { 2452840.50, 64.541786 }, //20 July 2003, UT1-UTC=-0.3577857, Accumulated Leap Seconds=32 + { 2452841.50, 64.541634 }, //21 July 2003, UT1-UTC=-0.3576341, Accumulated Leap Seconds=32 + { 2452842.50, 64.541400 }, //22 July 2003, UT1-UTC=-0.3573996, Accumulated Leap Seconds=32 + { 2452843.50, 64.541060 }, //23 July 2003, UT1-UTC=-0.3570603, Accumulated Leap Seconds=32 + { 2452844.50, 64.540607 }, //24 July 2003, UT1-UTC=-0.3566067, Accumulated Leap Seconds=32 + { 2452845.50, 64.540044 }, //25 July 2003, UT1-UTC=-0.3560443, Accumulated Leap Seconds=32 + { 2452846.50, 64.539390 }, //26 July 2003, UT1-UTC=-0.3553902, Accumulated Leap Seconds=32 + { 2452847.50, 64.538730 }, //27 July 2003, UT1-UTC=-0.3547300, Accumulated Leap Seconds=32 + { 2452848.50, 64.538123 }, //28 July 2003, UT1-UTC=-0.3541233, Accumulated Leap Seconds=32 + { 2452849.50, 64.537607 }, //29 July 2003, UT1-UTC=-0.3536072, Accumulated Leap Seconds=32 + { 2452850.50, 64.537214 }, //30 July 2003, UT1-UTC=-0.3532143, Accumulated Leap Seconds=32 + { 2452851.50, 64.537033 }, //31 July 2003, UT1-UTC=-0.3530332, Accumulated Leap Seconds=32 + { 2452852.50, 64.537091 }, //01 August 2003, UT1-UTC=-0.3530906, Accumulated Leap Seconds=32 + { 2452853.50, 64.537318 }, //02 August 2003, UT1-UTC=-0.3533179, Accumulated Leap Seconds=32 + { 2452854.50, 64.537656 }, //03 August 2003, UT1-UTC=-0.3536562, Accumulated Leap Seconds=32 + { 2452855.50, 64.538037 }, //04 August 2003, UT1-UTC=-0.3540369, Accumulated Leap Seconds=32 + { 2452856.50, 64.538321 }, //05 August 2003, UT1-UTC=-0.3543207, Accumulated Leap Seconds=32 + { 2452857.50, 64.538360 }, //06 August 2003, UT1-UTC=-0.3543599, Accumulated Leap Seconds=32 + { 2452858.50, 64.538162 }, //07 August 2003, UT1-UTC=-0.3541618, Accumulated Leap Seconds=32 + { 2452859.50, 64.537744 }, //08 August 2003, UT1-UTC=-0.3537440, Accumulated Leap Seconds=32 + { 2452860.50, 64.537178 }, //09 August 2003, UT1-UTC=-0.3531782, Accumulated Leap Seconds=32 + { 2452861.50, 64.536588 }, //10 August 2003, UT1-UTC=-0.3525882, Accumulated Leap Seconds=32 + { 2452862.50, 64.536087 }, //11 August 2003, UT1-UTC=-0.3520874, Accumulated Leap Seconds=32 + { 2452863.50, 64.535768 }, //12 August 2003, UT1-UTC=-0.3517684, Accumulated Leap Seconds=32 + { 2452864.50, 64.535677 }, //13 August 2003, UT1-UTC=-0.3516766, Accumulated Leap Seconds=32 + { 2452865.50, 64.535766 }, //14 August 2003, UT1-UTC=-0.3517656, Accumulated Leap Seconds=32 + { 2452866.50, 64.535988 }, //15 August 2003, UT1-UTC=-0.3519884, Accumulated Leap Seconds=32 + { 2452867.50, 64.536294 }, //16 August 2003, UT1-UTC=-0.3522936, Accumulated Leap Seconds=32 + { 2452868.50, 64.536603 }, //17 August 2003, UT1-UTC=-0.3526033, Accumulated Leap Seconds=32 + { 2452869.50, 64.536838 }, //18 August 2003, UT1-UTC=-0.3528384, Accumulated Leap Seconds=32 + { 2452870.50, 64.536904 }, //19 August 2003, UT1-UTC=-0.3529045, Accumulated Leap Seconds=32 + { 2452871.50, 64.536729 }, //20 August 2003, UT1-UTC=-0.3527289, Accumulated Leap Seconds=32 + { 2452872.50, 64.536360 }, //21 August 2003, UT1-UTC=-0.3523604, Accumulated Leap Seconds=32 + { 2452873.50, 64.535842 }, //22 August 2003, UT1-UTC=-0.3518420, Accumulated Leap Seconds=32 + { 2452874.50, 64.535221 }, //23 August 2003, UT1-UTC=-0.3512211, Accumulated Leap Seconds=32 + { 2452875.50, 64.534581 }, //24 August 2003, UT1-UTC=-0.3505807, Accumulated Leap Seconds=32 + { 2452876.50, 64.533987 }, //25 August 2003, UT1-UTC=-0.3499870, Accumulated Leap Seconds=32 + { 2452877.50, 64.533531 }, //26 August 2003, UT1-UTC=-0.3495314, Accumulated Leap Seconds=32 + { 2452878.50, 64.533293 }, //27 August 2003, UT1-UTC=-0.3492927, Accumulated Leap Seconds=32 + { 2452879.50, 64.533415 }, //28 August 2003, UT1-UTC=-0.3494149, Accumulated Leap Seconds=32 + { 2452880.50, 64.533862 }, //29 August 2003, UT1-UTC=-0.3498616, Accumulated Leap Seconds=32 + { 2452881.50, 64.534525 }, //30 August 2003, UT1-UTC=-0.3505251, Accumulated Leap Seconds=32 + { 2452882.50, 64.535276 }, //31 August 2003, UT1-UTC=-0.3512761, Accumulated Leap Seconds=32 + { 2452883.50, 64.535947 }, //01 September 2003, UT1-UTC=-0.3519472, Accumulated Leap Seconds=32 + { 2452884.50, 64.536416 }, //02 September 2003, UT1-UTC=-0.3524163, Accumulated Leap Seconds=32 + { 2452885.50, 64.536634 }, //03 September 2003, UT1-UTC=-0.3526344, Accumulated Leap Seconds=32 + { 2452886.50, 64.536586 }, //04 September 2003, UT1-UTC=-0.3525856, Accumulated Leap Seconds=32 + { 2452887.50, 64.536358 }, //05 September 2003, UT1-UTC=-0.3523584, Accumulated Leap Seconds=32 + { 2452888.50, 64.536069 }, //06 September 2003, UT1-UTC=-0.3520693, Accumulated Leap Seconds=32 + { 2452889.50, 64.535775 }, //07 September 2003, UT1-UTC=-0.3517748, Accumulated Leap Seconds=32 + { 2452890.50, 64.535576 }, //08 September 2003, UT1-UTC=-0.3515758, Accumulated Leap Seconds=32 + { 2452891.50, 64.535556 }, //09 September 2003, UT1-UTC=-0.3515564, Accumulated Leap Seconds=32 + { 2452892.50, 64.535737 }, //10 September 2003, UT1-UTC=-0.3517370, Accumulated Leap Seconds=32 + { 2452893.50, 64.536060 }, //11 September 2003, UT1-UTC=-0.3520603, Accumulated Leap Seconds=32 + { 2452894.50, 64.536460 }, //12 September 2003, UT1-UTC=-0.3524604, Accumulated Leap Seconds=32 + { 2452895.50, 64.536833 }, //13 September 2003, UT1-UTC=-0.3528330, Accumulated Leap Seconds=32 + { 2452896.50, 64.537132 }, //14 September 2003, UT1-UTC=-0.3531319, Accumulated Leap Seconds=32 + { 2452897.50, 64.537343 }, //15 September 2003, UT1-UTC=-0.3533428, Accumulated Leap Seconds=32 + { 2452898.50, 64.537453 }, //16 September 2003, UT1-UTC=-0.3534535, Accumulated Leap Seconds=32 + { 2452899.50, 64.537458 }, //17 September 2003, UT1-UTC=-0.3534576, Accumulated Leap Seconds=32 + { 2452900.50, 64.537346 }, //18 September 2003, UT1-UTC=-0.3533465, Accumulated Leap Seconds=32 + { 2452901.50, 64.537089 }, //19 September 2003, UT1-UTC=-0.3530887, Accumulated Leap Seconds=32 + { 2452902.50, 64.536797 }, //20 September 2003, UT1-UTC=-0.3527968, Accumulated Leap Seconds=32 + { 2452903.50, 64.536534 }, //21 September 2003, UT1-UTC=-0.3525335, Accumulated Leap Seconds=32 + { 2452904.50, 64.536389 }, //22 September 2003, UT1-UTC=-0.3523885, Accumulated Leap Seconds=32 + { 2452905.50, 64.536469 }, //23 September 2003, UT1-UTC=-0.3524686, Accumulated Leap Seconds=32 + { 2452906.50, 64.536814 }, //24 September 2003, UT1-UTC=-0.3528143, Accumulated Leap Seconds=32 + { 2452907.50, 64.537419 }, //25 September 2003, UT1-UTC=-0.3534192, Accumulated Leap Seconds=32 + { 2452908.50, 64.538241 }, //26 September 2003, UT1-UTC=-0.3542415, Accumulated Leap Seconds=32 + { 2452909.50, 64.539172 }, //27 September 2003, UT1-UTC=-0.3551718, Accumulated Leap Seconds=32 + { 2452910.50, 64.540060 }, //28 September 2003, UT1-UTC=-0.3560603, Accumulated Leap Seconds=32 + { 2452911.50, 64.540776 }, //29 September 2003, UT1-UTC=-0.3567764, Accumulated Leap Seconds=32 + { 2452912.50, 64.541263 }, //30 September 2003, UT1-UTC=-0.3572628, Accumulated Leap Seconds=32 + { 2452913.50, 64.541495 }, //01 October 2003, UT1-UTC=-0.3574947, Accumulated Leap Seconds=32 + { 2452914.50, 64.541543 }, //02 October 2003, UT1-UTC=-0.3575434, Accumulated Leap Seconds=32 + { 2452915.50, 64.541525 }, //03 October 2003, UT1-UTC=-0.3575253, Accumulated Leap Seconds=32 + { 2452916.50, 64.541556 }, //04 October 2003, UT1-UTC=-0.3575563, Accumulated Leap Seconds=32 + { 2452917.50, 64.541712 }, //05 October 2003, UT1-UTC=-0.3577116, Accumulated Leap Seconds=32 + { 2452918.50, 64.542050 }, //06 October 2003, UT1-UTC=-0.3580504, Accumulated Leap Seconds=32 + { 2452919.50, 64.542600 }, //07 October 2003, UT1-UTC=-0.3586005, Accumulated Leap Seconds=32 + { 2452920.50, 64.543308 }, //08 October 2003, UT1-UTC=-0.3593077, Accumulated Leap Seconds=32 + { 2452921.50, 64.544054 }, //09 October 2003, UT1-UTC=-0.3600542, Accumulated Leap Seconds=32 + { 2452922.50, 64.544757 }, //10 October 2003, UT1-UTC=-0.3607569, Accumulated Leap Seconds=32 + { 2452923.50, 64.545405 }, //11 October 2003, UT1-UTC=-0.3614052, Accumulated Leap Seconds=32 + { 2452924.50, 64.545945 }, //12 October 2003, UT1-UTC=-0.3619451, Accumulated Leap Seconds=32 + { 2452925.50, 64.546344 }, //13 October 2003, UT1-UTC=-0.3623444, Accumulated Leap Seconds=32 + { 2452926.50, 64.546594 }, //14 October 2003, UT1-UTC=-0.3625940, Accumulated Leap Seconds=32 + { 2452927.50, 64.546701 }, //15 October 2003, UT1-UTC=-0.3627009, Accumulated Leap Seconds=32 + { 2452928.50, 64.546685 }, //16 October 2003, UT1-UTC=-0.3626855, Accumulated Leap Seconds=32 + { 2452929.50, 64.546600 }, //17 October 2003, UT1-UTC=-0.3625996, Accumulated Leap Seconds=32 + { 2452930.50, 64.546527 }, //18 October 2003, UT1-UTC=-0.3625268, Accumulated Leap Seconds=32 + { 2452931.50, 64.546573 }, //19 October 2003, UT1-UTC=-0.3625735, Accumulated Leap Seconds=32 + { 2452932.50, 64.546835 }, //20 October 2003, UT1-UTC=-0.3628352, Accumulated Leap Seconds=32 + { 2452933.50, 64.547382 }, //21 October 2003, UT1-UTC=-0.3633816, Accumulated Leap Seconds=32 + { 2452934.50, 64.548221 }, //22 October 2003, UT1-UTC=-0.3642207, Accumulated Leap Seconds=32 + { 2452935.50, 64.549318 }, //23 October 2003, UT1-UTC=-0.3653182, Accumulated Leap Seconds=32 + { 2452936.50, 64.550603 }, //24 October 2003, UT1-UTC=-0.3666035, Accumulated Leap Seconds=32 + { 2452937.50, 64.551915 }, //25 October 2003, UT1-UTC=-0.3679152, Accumulated Leap Seconds=32 + { 2452938.50, 64.553075 }, //26 October 2003, UT1-UTC=-0.3690749, Accumulated Leap Seconds=32 + { 2452939.50, 64.553934 }, //27 October 2003, UT1-UTC=-0.3699340, Accumulated Leap Seconds=32 + { 2452940.50, 64.554426 }, //28 October 2003, UT1-UTC=-0.3704257, Accumulated Leap Seconds=32 + { 2452941.50, 64.554584 }, //29 October 2003, UT1-UTC=-0.3705842, Accumulated Leap Seconds=32 + { 2452942.50, 64.554542 }, //30 October 2003, UT1-UTC=-0.3705420, Accumulated Leap Seconds=32 + { 2452943.50, 64.554434 }, //31 October 2003, UT1-UTC=-0.3704336, Accumulated Leap Seconds=32 + { 2452944.50, 64.554363 }, //01 November 2003, UT1-UTC=-0.3703634, Accumulated Leap Seconds=32 + { 2452945.50, 64.554425 }, //02 November 2003, UT1-UTC=-0.3704255, Accumulated Leap Seconds=32 + { 2452946.50, 64.554670 }, //03 November 2003, UT1-UTC=-0.3706700, Accumulated Leap Seconds=32 + { 2452947.50, 64.555095 }, //04 November 2003, UT1-UTC=-0.3710949, Accumulated Leap Seconds=32 + { 2452948.50, 64.555645 }, //05 November 2003, UT1-UTC=-0.3716455, Accumulated Leap Seconds=32 + { 2452949.50, 64.556216 }, //06 November 2003, UT1-UTC=-0.3722165, Accumulated Leap Seconds=32 + { 2452950.50, 64.556738 }, //07 November 2003, UT1-UTC=-0.3727379, Accumulated Leap Seconds=32 + { 2452951.50, 64.557167 }, //08 November 2003, UT1-UTC=-0.3731670, Accumulated Leap Seconds=32 + { 2452952.50, 64.557499 }, //09 November 2003, UT1-UTC=-0.3734991, Accumulated Leap Seconds=32 + { 2452953.50, 64.557710 }, //10 November 2003, UT1-UTC=-0.3737101, Accumulated Leap Seconds=32 + { 2452954.50, 64.557806 }, //11 November 2003, UT1-UTC=-0.3738058, Accumulated Leap Seconds=32 + { 2452955.50, 64.557742 }, //12 November 2003, UT1-UTC=-0.3737423, Accumulated Leap Seconds=32 + { 2452956.50, 64.557685 }, //13 November 2003, UT1-UTC=-0.3736849, Accumulated Leap Seconds=32 + { 2452957.50, 64.557687 }, //14 November 2003, UT1-UTC=-0.3736874, Accumulated Leap Seconds=32 + { 2452958.50, 64.557744 }, //15 November 2003, UT1-UTC=-0.3737445, Accumulated Leap Seconds=32 + { 2452959.50, 64.557904 }, //16 November 2003, UT1-UTC=-0.3739045, Accumulated Leap Seconds=32 + { 2452960.50, 64.558257 }, //17 November 2003, UT1-UTC=-0.3742567, Accumulated Leap Seconds=32 + { 2452961.50, 64.558858 }, //18 November 2003, UT1-UTC=-0.3748576, Accumulated Leap Seconds=32 + { 2452962.50, 64.559673 }, //19 November 2003, UT1-UTC=-0.3756732, Accumulated Leap Seconds=32 + { 2452963.50, 64.560614 }, //20 November 2003, UT1-UTC=-0.3766143, Accumulated Leap Seconds=32 + { 2452964.50, 64.561657 }, //21 November 2003, UT1-UTC=-0.3776569, Accumulated Leap Seconds=32 + { 2452965.50, 64.562759 }, //22 November 2003, UT1-UTC=-0.3787591, Accumulated Leap Seconds=32 + { 2452966.50, 64.563692 }, //23 November 2003, UT1-UTC=-0.3796923, Accumulated Leap Seconds=32 + { 2452967.50, 64.564340 }, //24 November 2003, UT1-UTC=-0.3803395, Accumulated Leap Seconds=32 + { 2452968.50, 64.564691 }, //25 November 2003, UT1-UTC=-0.3806915, Accumulated Leap Seconds=32 + { 2452969.50, 64.564766 }, //26 November 2003, UT1-UTC=-0.3807660, Accumulated Leap Seconds=32 + { 2452970.50, 64.564708 }, //27 November 2003, UT1-UTC=-0.3807079, Accumulated Leap Seconds=32 + { 2452971.50, 64.564674 }, //28 November 2003, UT1-UTC=-0.3806736, Accumulated Leap Seconds=32 + { 2452972.50, 64.564777 }, //29 November 2003, UT1-UTC=-0.3807771, Accumulated Leap Seconds=32 + { 2452973.50, 64.565038 }, //30 November 2003, UT1-UTC=-0.3810378, Accumulated Leap Seconds=32 + { 2452974.50, 64.565430 }, //01 December 2003, UT1-UTC=-0.3814298, Accumulated Leap Seconds=32 + { 2452975.50, 64.565926 }, //02 December 2003, UT1-UTC=-0.3819260, Accumulated Leap Seconds=32 + { 2452976.50, 64.566461 }, //03 December 2003, UT1-UTC=-0.3824611, Accumulated Leap Seconds=32 + { 2452977.50, 64.566960 }, //04 December 2003, UT1-UTC=-0.3829600, Accumulated Leap Seconds=32 + { 2452978.50, 64.567344 }, //05 December 2003, UT1-UTC=-0.3833443, Accumulated Leap Seconds=32 + { 2452979.50, 64.567626 }, //06 December 2003, UT1-UTC=-0.3836264, Accumulated Leap Seconds=32 + { 2452980.50, 64.567789 }, //07 December 2003, UT1-UTC=-0.3837894, Accumulated Leap Seconds=32 + { 2452981.50, 64.567784 }, //08 December 2003, UT1-UTC=-0.3837836, Accumulated Leap Seconds=32 + { 2452982.50, 64.567567 }, //09 December 2003, UT1-UTC=-0.3835670, Accumulated Leap Seconds=32 + { 2452983.50, 64.567196 }, //10 December 2003, UT1-UTC=-0.3831965, Accumulated Leap Seconds=32 + { 2452984.50, 64.566808 }, //11 December 2003, UT1-UTC=-0.3828080, Accumulated Leap Seconds=32 + { 2452985.50, 64.566431 }, //12 December 2003, UT1-UTC=-0.3824312, Accumulated Leap Seconds=32 + { 2452986.50, 64.566144 }, //13 December 2003, UT1-UTC=-0.3821437, Accumulated Leap Seconds=32 + { 2452987.50, 64.565973 }, //14 December 2003, UT1-UTC=-0.3819729, Accumulated Leap Seconds=32 + { 2452988.50, 64.565996 }, //15 December 2003, UT1-UTC=-0.3819964, Accumulated Leap Seconds=32 + { 2452989.50, 64.566251 }, //16 December 2003, UT1-UTC=-0.3822506, Accumulated Leap Seconds=32 + { 2452990.50, 64.566753 }, //17 December 2003, UT1-UTC=-0.3827534, Accumulated Leap Seconds=32 + { 2452991.50, 64.567453 }, //18 December 2003, UT1-UTC=-0.3834535, Accumulated Leap Seconds=32 + { 2452992.50, 64.568227 }, //19 December 2003, UT1-UTC=-0.3842275, Accumulated Leap Seconds=32 + { 2452993.50, 64.569000 }, //20 December 2003, UT1-UTC=-0.3849995, Accumulated Leap Seconds=32 + { 2452994.50, 64.569678 }, //21 December 2003, UT1-UTC=-0.3856785, Accumulated Leap Seconds=32 + { 2452995.50, 64.570129 }, //22 December 2003, UT1-UTC=-0.3861289, Accumulated Leap Seconds=32 + { 2452996.50, 64.570305 }, //23 December 2003, UT1-UTC=-0.3863051, Accumulated Leap Seconds=32 + { 2452997.50, 64.570312 }, //24 December 2003, UT1-UTC=-0.3863118, Accumulated Leap Seconds=32 + { 2452998.50, 64.570380 }, //25 December 2003, UT1-UTC=-0.3863800, Accumulated Leap Seconds=32 + { 2452999.50, 64.570559 }, //26 December 2003, UT1-UTC=-0.3865590, Accumulated Leap Seconds=32 + { 2453000.50, 64.570881 }, //27 December 2003, UT1-UTC=-0.3868809, Accumulated Leap Seconds=32 + { 2453001.50, 64.571344 }, //28 December 2003, UT1-UTC=-0.3873439, Accumulated Leap Seconds=32 + { 2453002.50, 64.571905 }, //29 December 2003, UT1-UTC=-0.3879047, Accumulated Leap Seconds=32 + { 2453003.50, 64.572512 }, //30 December 2003, UT1-UTC=-0.3885122, Accumulated Leap Seconds=32 + { 2453004.50, 64.573094 }, //31 December 2003, UT1-UTC=-0.3890938, Accumulated Leap Seconds=32 + { 2453005.50, 64.573611 }, //01 January 2004, UT1-UTC=-0.3896111, Accumulated Leap Seconds=32 + { 2453006.50, 64.574077 }, //02 January 2004, UT1-UTC=-0.3900767, Accumulated Leap Seconds=32 + { 2453007.50, 64.574426 }, //03 January 2004, UT1-UTC=-0.3904257, Accumulated Leap Seconds=32 + { 2453008.50, 64.574593 }, //04 January 2004, UT1-UTC=-0.3905932, Accumulated Leap Seconds=32 + { 2453009.50, 64.574604 }, //05 January 2004, UT1-UTC=-0.3906040, Accumulated Leap Seconds=32 + { 2453010.50, 64.574521 }, //06 January 2004, UT1-UTC=-0.3905213, Accumulated Leap Seconds=32 + { 2453011.50, 64.574442 }, //07 January 2004, UT1-UTC=-0.3904423, Accumulated Leap Seconds=32 + { 2453012.50, 64.574462 }, //08 January 2004, UT1-UTC=-0.3904618, Accumulated Leap Seconds=32 + { 2453013.50, 64.574610 }, //09 January 2004, UT1-UTC=-0.3906104, Accumulated Leap Seconds=32 + { 2453014.50, 64.574973 }, //10 January 2004, UT1-UTC=-0.3909731, Accumulated Leap Seconds=32 + { 2453015.50, 64.575587 }, //11 January 2004, UT1-UTC=-0.3915875, Accumulated Leap Seconds=32 + { 2453016.50, 64.576462 }, //12 January 2004, UT1-UTC=-0.3924623, Accumulated Leap Seconds=32 + { 2453017.50, 64.577570 }, //13 January 2004, UT1-UTC=-0.3935699, Accumulated Leap Seconds=32 + { 2453018.50, 64.578842 }, //14 January 2004, UT1-UTC=-0.3948418, Accumulated Leap Seconds=32 + { 2453019.50, 64.580110 }, //15 January 2004, UT1-UTC=-0.3961097, Accumulated Leap Seconds=32 + { 2453020.50, 64.581263 }, //16 January 2004, UT1-UTC=-0.3972627, Accumulated Leap Seconds=32 + { 2453021.50, 64.582224 }, //17 January 2004, UT1-UTC=-0.3982241, Accumulated Leap Seconds=32 + { 2453022.50, 64.582920 }, //18 January 2004, UT1-UTC=-0.3989195, Accumulated Leap Seconds=32 + { 2453023.50, 64.583378 }, //19 January 2004, UT1-UTC=-0.3993777, Accumulated Leap Seconds=32 + { 2453024.50, 64.583642 }, //20 January 2004, UT1-UTC=-0.3996423, Accumulated Leap Seconds=32 + { 2453025.50, 64.583840 }, //21 January 2004, UT1-UTC=-0.3998404, Accumulated Leap Seconds=32 + { 2453026.50, 64.584069 }, //22 January 2004, UT1-UTC=-0.4000692, Accumulated Leap Seconds=32 + { 2453027.50, 64.584433 }, //23 January 2004, UT1-UTC=-0.4004329, Accumulated Leap Seconds=32 + { 2453028.50, 64.584949 }, //24 January 2004, UT1-UTC=-0.4009494, Accumulated Leap Seconds=32 + { 2453029.50, 64.585619 }, //25 January 2004, UT1-UTC=-0.4016188, Accumulated Leap Seconds=32 + { 2453030.50, 64.586424 }, //26 January 2004, UT1-UTC=-0.4024243, Accumulated Leap Seconds=32 + { 2453031.50, 64.587300 }, //27 January 2004, UT1-UTC=-0.4033002, Accumulated Leap Seconds=32 + { 2453032.50, 64.588071 }, //28 January 2004, UT1-UTC=-0.4040711, Accumulated Leap Seconds=32 + { 2453033.50, 64.588664 }, //29 January 2004, UT1-UTC=-0.4046641, Accumulated Leap Seconds=32 + { 2453034.50, 64.589043 }, //30 January 2004, UT1-UTC=-0.4050432, Accumulated Leap Seconds=32 + { 2453035.50, 64.589164 }, //31 January 2004, UT1-UTC=-0.4051645, Accumulated Leap Seconds=32 + { 2453036.50, 64.589114 }, //01 February 2004, UT1-UTC=-0.4051142, Accumulated Leap Seconds=32 + { 2453037.50, 64.588944 }, //02 February 2004, UT1-UTC=-0.4049439, Accumulated Leap Seconds=32 + { 2453038.50, 64.588702 }, //03 February 2004, UT1-UTC=-0.4047021, Accumulated Leap Seconds=32 + { 2453039.50, 64.588425 }, //04 February 2004, UT1-UTC=-0.4044246, Accumulated Leap Seconds=32 + { 2453040.50, 64.588180 }, //05 February 2004, UT1-UTC=-0.4041796, Accumulated Leap Seconds=32 + { 2453041.50, 64.588114 }, //06 February 2004, UT1-UTC=-0.4041138, Accumulated Leap Seconds=32 + { 2453042.50, 64.588221 }, //07 February 2004, UT1-UTC=-0.4042213, Accumulated Leap Seconds=32 + { 2453043.50, 64.588633 }, //08 February 2004, UT1-UTC=-0.4046330, Accumulated Leap Seconds=32 + { 2453044.50, 64.589292 }, //09 February 2004, UT1-UTC=-0.4052923, Accumulated Leap Seconds=32 + { 2453045.50, 64.590121 }, //10 February 2004, UT1-UTC=-0.4061206, Accumulated Leap Seconds=32 + { 2453046.50, 64.591039 }, //11 February 2004, UT1-UTC=-0.4070395, Accumulated Leap Seconds=32 + { 2453047.50, 64.591956 }, //12 February 2004, UT1-UTC=-0.4079564, Accumulated Leap Seconds=32 + { 2453048.50, 64.592755 }, //13 February 2004, UT1-UTC=-0.4087555, Accumulated Leap Seconds=32 + { 2453049.50, 64.593345 }, //14 February 2004, UT1-UTC=-0.4093455, Accumulated Leap Seconds=32 + { 2453050.50, 64.593695 }, //15 February 2004, UT1-UTC=-0.4096955, Accumulated Leap Seconds=32 + { 2453051.50, 64.593864 }, //16 February 2004, UT1-UTC=-0.4098643, Accumulated Leap Seconds=32 + { 2453052.50, 64.593954 }, //17 February 2004, UT1-UTC=-0.4099541, Accumulated Leap Seconds=32 + { 2453053.50, 64.594058 }, //18 February 2004, UT1-UTC=-0.4100584, Accumulated Leap Seconds=32 + { 2453054.50, 64.594318 }, //19 February 2004, UT1-UTC=-0.4103177, Accumulated Leap Seconds=32 + { 2453055.50, 64.594811 }, //20 February 2004, UT1-UTC=-0.4108109, Accumulated Leap Seconds=32 + { 2453056.50, 64.595554 }, //21 February 2004, UT1-UTC=-0.4115541, Accumulated Leap Seconds=32 + { 2453057.50, 64.596469 }, //22 February 2004, UT1-UTC=-0.4124685, Accumulated Leap Seconds=32 + { 2453058.50, 64.597518 }, //23 February 2004, UT1-UTC=-0.4135182, Accumulated Leap Seconds=32 + { 2453059.50, 64.598597 }, //24 February 2004, UT1-UTC=-0.4145967, Accumulated Leap Seconds=32 + { 2453060.50, 64.599570 }, //25 February 2004, UT1-UTC=-0.4155697, Accumulated Leap Seconds=32 + { 2453061.50, 64.600364 }, //26 February 2004, UT1-UTC=-0.4163641, Accumulated Leap Seconds=32 + { 2453062.50, 64.600966 }, //27 February 2004, UT1-UTC=-0.4169658, Accumulated Leap Seconds=32 + { 2453063.50, 64.601377 }, //28 February 2004, UT1-UTC=-0.4173773, Accumulated Leap Seconds=32 + { 2453064.50, 64.601528 }, //29 February 2004, UT1-UTC=-0.4175276, Accumulated Leap Seconds=32 + { 2453065.50, 64.601476 }, //01 March 2004, UT1-UTC=-0.4174759, Accumulated Leap Seconds=32 + { 2453066.50, 64.601334 }, //02 March 2004, UT1-UTC=-0.4173344, Accumulated Leap Seconds=32 + { 2453067.50, 64.601212 }, //03 March 2004, UT1-UTC=-0.4172123, Accumulated Leap Seconds=32 + { 2453068.50, 64.601185 }, //04 March 2004, UT1-UTC=-0.4171845, Accumulated Leap Seconds=32 + { 2453069.50, 64.601341 }, //05 March 2004, UT1-UTC=-0.4173411, Accumulated Leap Seconds=32 + { 2453070.50, 64.601716 }, //06 March 2004, UT1-UTC=-0.4177157, Accumulated Leap Seconds=32 + { 2453071.50, 64.602335 }, //07 March 2004, UT1-UTC=-0.4183349, Accumulated Leap Seconds=32 + { 2453072.50, 64.603174 }, //08 March 2004, UT1-UTC=-0.4191739, Accumulated Leap Seconds=32 + { 2453073.50, 64.604115 }, //09 March 2004, UT1-UTC=-0.4201152, Accumulated Leap Seconds=32 + { 2453074.50, 64.605010 }, //10 March 2004, UT1-UTC=-0.4210096, Accumulated Leap Seconds=32 + { 2453075.50, 64.605733 }, //11 March 2004, UT1-UTC=-0.4217335, Accumulated Leap Seconds=32 + { 2453076.50, 64.606202 }, //12 March 2004, UT1-UTC=-0.4222020, Accumulated Leap Seconds=32 + { 2453077.50, 64.606444 }, //13 March 2004, UT1-UTC=-0.4224436, Accumulated Leap Seconds=32 + { 2453078.50, 64.606502 }, //14 March 2004, UT1-UTC=-0.4225018, Accumulated Leap Seconds=32 + { 2453079.50, 64.606453 }, //15 March 2004, UT1-UTC=-0.4224526, Accumulated Leap Seconds=32 + { 2453080.50, 64.606455 }, //16 March 2004, UT1-UTC=-0.4224550, Accumulated Leap Seconds=32 + { 2453081.50, 64.606566 }, //17 March 2004, UT1-UTC=-0.4225659, Accumulated Leap Seconds=32 + { 2453082.50, 64.606905 }, //18 March 2004, UT1-UTC=-0.4229047, Accumulated Leap Seconds=32 + { 2453083.50, 64.607497 }, //19 March 2004, UT1-UTC=-0.4234972, Accumulated Leap Seconds=32 + { 2453084.50, 64.608361 }, //20 March 2004, UT1-UTC=-0.4243612, Accumulated Leap Seconds=32 + { 2453085.50, 64.609449 }, //21 March 2004, UT1-UTC=-0.4254491, Accumulated Leap Seconds=32 + { 2453086.50, 64.610591 }, //22 March 2004, UT1-UTC=-0.4265908, Accumulated Leap Seconds=32 + { 2453087.50, 64.611720 }, //23 March 2004, UT1-UTC=-0.4277204, Accumulated Leap Seconds=32 + { 2453088.50, 64.612809 }, //24 March 2004, UT1-UTC=-0.4288092, Accumulated Leap Seconds=32 + { 2453089.50, 64.613777 }, //25 March 2004, UT1-UTC=-0.4297774, Accumulated Leap Seconds=32 + { 2453090.50, 64.614597 }, //26 March 2004, UT1-UTC=-0.4305967, Accumulated Leap Seconds=32 + { 2453091.50, 64.615243 }, //27 March 2004, UT1-UTC=-0.4312433, Accumulated Leap Seconds=32 + { 2453092.50, 64.615725 }, //28 March 2004, UT1-UTC=-0.4317248, Accumulated Leap Seconds=32 + { 2453093.50, 64.616107 }, //29 March 2004, UT1-UTC=-0.4321075, Accumulated Leap Seconds=32 + { 2453094.50, 64.616497 }, //30 March 2004, UT1-UTC=-0.4324971, Accumulated Leap Seconds=32 + { 2453095.50, 64.616972 }, //31 March 2004, UT1-UTC=-0.4329721, Accumulated Leap Seconds=32 + { 2453096.50, 64.617615 }, //01 April 2004, UT1-UTC=-0.4336147, Accumulated Leap Seconds=32 + { 2453097.50, 64.618473 }, //02 April 2004, UT1-UTC=-0.4344729, Accumulated Leap Seconds=32 + { 2453098.50, 64.619545 }, //03 April 2004, UT1-UTC=-0.4355449, Accumulated Leap Seconds=32 + { 2453099.50, 64.620876 }, //04 April 2004, UT1-UTC=-0.4368762, Accumulated Leap Seconds=32 + { 2453100.50, 64.622401 }, //05 April 2004, UT1-UTC=-0.4384012, Accumulated Leap Seconds=32 + { 2453101.50, 64.623950 }, //06 April 2004, UT1-UTC=-0.4399498, Accumulated Leap Seconds=32 + { 2453102.50, 64.625407 }, //07 April 2004, UT1-UTC=-0.4414071, Accumulated Leap Seconds=32 + { 2453103.50, 64.626619 }, //08 April 2004, UT1-UTC=-0.4426187, Accumulated Leap Seconds=32 + { 2453104.50, 64.627511 }, //09 April 2004, UT1-UTC=-0.4435111, Accumulated Leap Seconds=32 + { 2453105.50, 64.628179 }, //10 April 2004, UT1-UTC=-0.4441791, Accumulated Leap Seconds=32 + { 2453106.50, 64.628632 }, //11 April 2004, UT1-UTC=-0.4446324, Accumulated Leap Seconds=32 + { 2453107.50, 64.628954 }, //12 April 2004, UT1-UTC=-0.4449541, Accumulated Leap Seconds=32 + { 2453108.50, 64.629344 }, //13 April 2004, UT1-UTC=-0.4453438, Accumulated Leap Seconds=32 + { 2453109.50, 64.629929 }, //14 April 2004, UT1-UTC=-0.4459293, Accumulated Leap Seconds=32 + { 2453110.50, 64.630731 }, //15 April 2004, UT1-UTC=-0.4467310, Accumulated Leap Seconds=32 + { 2453111.50, 64.631683 }, //16 April 2004, UT1-UTC=-0.4476832, Accumulated Leap Seconds=32 + { 2453112.50, 64.632730 }, //17 April 2004, UT1-UTC=-0.4487301, Accumulated Leap Seconds=32 + { 2453113.50, 64.633770 }, //18 April 2004, UT1-UTC=-0.4497703, Accumulated Leap Seconds=32 + { 2453114.50, 64.634733 }, //19 April 2004, UT1-UTC=-0.4507330, Accumulated Leap Seconds=32 + { 2453115.50, 64.635550 }, //20 April 2004, UT1-UTC=-0.4515498, Accumulated Leap Seconds=32 + { 2453116.50, 64.636139 }, //21 April 2004, UT1-UTC=-0.4521395, Accumulated Leap Seconds=32 + { 2453117.50, 64.636502 }, //22 April 2004, UT1-UTC=-0.4525024, Accumulated Leap Seconds=32 + { 2453118.50, 64.636630 }, //23 April 2004, UT1-UTC=-0.4526300, Accumulated Leap Seconds=32 + { 2453119.50, 64.636541 }, //24 April 2004, UT1-UTC=-0.4525408, Accumulated Leap Seconds=32 + { 2453120.50, 64.636348 }, //25 April 2004, UT1-UTC=-0.4523480, Accumulated Leap Seconds=32 + { 2453121.50, 64.636118 }, //26 April 2004, UT1-UTC=-0.4521176, Accumulated Leap Seconds=32 + { 2453122.50, 64.635968 }, //27 April 2004, UT1-UTC=-0.4519678, Accumulated Leap Seconds=32 + { 2453123.50, 64.635976 }, //28 April 2004, UT1-UTC=-0.4519755, Accumulated Leap Seconds=32 + { 2453124.50, 64.636210 }, //29 April 2004, UT1-UTC=-0.4522099, Accumulated Leap Seconds=32 + { 2453125.50, 64.636676 }, //30 April 2004, UT1-UTC=-0.4526761, Accumulated Leap Seconds=32 + { 2453126.50, 64.637440 }, //01 May 2004, UT1-UTC=-0.4534397, Accumulated Leap Seconds=32 + { 2453127.50, 64.638446 }, //02 May 2004, UT1-UTC=-0.4544456, Accumulated Leap Seconds=32 + { 2453128.50, 64.639569 }, //03 May 2004, UT1-UTC=-0.4555694, Accumulated Leap Seconds=32 + { 2453129.50, 64.640704 }, //04 May 2004, UT1-UTC=-0.4567044, Accumulated Leap Seconds=32 + { 2453130.50, 64.641756 }, //05 May 2004, UT1-UTC=-0.4577565, Accumulated Leap Seconds=32 + { 2453131.50, 64.642608 }, //06 May 2004, UT1-UTC=-0.4586077, Accumulated Leap Seconds=32 + { 2453132.50, 64.643242 }, //07 May 2004, UT1-UTC=-0.4592423, Accumulated Leap Seconds=32 + { 2453133.50, 64.643682 }, //08 May 2004, UT1-UTC=-0.4596825, Accumulated Leap Seconds=32 + { 2453134.50, 64.644009 }, //09 May 2004, UT1-UTC=-0.4600094, Accumulated Leap Seconds=32 + { 2453135.50, 64.644378 }, //10 May 2004, UT1-UTC=-0.4603782, Accumulated Leap Seconds=32 + { 2453136.50, 64.644881 }, //11 May 2004, UT1-UTC=-0.4608811, Accumulated Leap Seconds=32 + { 2453137.50, 64.645540 }, //12 May 2004, UT1-UTC=-0.4615400, Accumulated Leap Seconds=32 + { 2453138.50, 64.646362 }, //13 May 2004, UT1-UTC=-0.4623622, Accumulated Leap Seconds=32 + { 2453139.50, 64.647326 }, //14 May 2004, UT1-UTC=-0.4633256, Accumulated Leap Seconds=32 + { 2453140.50, 64.648366 }, //15 May 2004, UT1-UTC=-0.4643657, Accumulated Leap Seconds=32 + { 2453141.50, 64.649406 }, //16 May 2004, UT1-UTC=-0.4654063, Accumulated Leap Seconds=32 + { 2453142.50, 64.650345 }, //17 May 2004, UT1-UTC=-0.4663453, Accumulated Leap Seconds=32 + { 2453143.50, 64.651149 }, //18 May 2004, UT1-UTC=-0.4671494, Accumulated Leap Seconds=32 + { 2453144.50, 64.651751 }, //19 May 2004, UT1-UTC=-0.4677510, Accumulated Leap Seconds=32 + { 2453145.50, 64.652165 }, //20 May 2004, UT1-UTC=-0.4681655, Accumulated Leap Seconds=32 + { 2453146.50, 64.652355 }, //21 May 2004, UT1-UTC=-0.4683547, Accumulated Leap Seconds=32 + { 2453147.50, 64.652424 }, //22 May 2004, UT1-UTC=-0.4684237, Accumulated Leap Seconds=32 + { 2453148.50, 64.652387 }, //23 May 2004, UT1-UTC=-0.4683869, Accumulated Leap Seconds=32 + { 2453149.50, 64.652279 }, //24 May 2004, UT1-UTC=-0.4682793, Accumulated Leap Seconds=32 + { 2453150.50, 64.652262 }, //25 May 2004, UT1-UTC=-0.4682624, Accumulated Leap Seconds=32 + { 2453151.50, 64.652304 }, //26 May 2004, UT1-UTC=-0.4683043, Accumulated Leap Seconds=32 + { 2453152.50, 64.652480 }, //27 May 2004, UT1-UTC=-0.4684797, Accumulated Leap Seconds=32 + { 2453153.50, 64.652850 }, //28 May 2004, UT1-UTC=-0.4688498, Accumulated Leap Seconds=32 + { 2453154.50, 64.653328 }, //29 May 2004, UT1-UTC=-0.4693282, Accumulated Leap Seconds=32 + { 2453155.50, 64.653875 }, //30 May 2004, UT1-UTC=-0.4698745, Accumulated Leap Seconds=32 + { 2453156.50, 64.654411 }, //31 May 2004, UT1-UTC=-0.4704110, Accumulated Leap Seconds=32 + { 2453157.50, 64.654867 }, //01 June 2004, UT1-UTC=-0.4708674, Accumulated Leap Seconds=32 + { 2453158.50, 64.655151 }, //02 June 2004, UT1-UTC=-0.4711511, Accumulated Leap Seconds=32 + { 2453159.50, 64.655172 }, //03 June 2004, UT1-UTC=-0.4711724, Accumulated Leap Seconds=32 + { 2453160.50, 64.655015 }, //04 June 2004, UT1-UTC=-0.4710146, Accumulated Leap Seconds=32 + { 2453161.50, 64.654717 }, //05 June 2004, UT1-UTC=-0.4707173, Accumulated Leap Seconds=32 + { 2453162.50, 64.654440 }, //06 June 2004, UT1-UTC=-0.4704398, Accumulated Leap Seconds=32 + { 2453163.50, 64.654302 }, //07 June 2004, UT1-UTC=-0.4703015, Accumulated Leap Seconds=32 + { 2453164.50, 64.654372 }, //08 June 2004, UT1-UTC=-0.4703722, Accumulated Leap Seconds=32 + { 2453165.50, 64.654595 }, //09 June 2004, UT1-UTC=-0.4705952, Accumulated Leap Seconds=32 + { 2453166.50, 64.654982 }, //10 June 2004, UT1-UTC=-0.4709819, Accumulated Leap Seconds=32 + { 2453167.50, 64.655425 }, //11 June 2004, UT1-UTC=-0.4714248, Accumulated Leap Seconds=32 + { 2453168.50, 64.655897 }, //12 June 2004, UT1-UTC=-0.4718974, Accumulated Leap Seconds=32 + { 2453169.50, 64.656309 }, //13 June 2004, UT1-UTC=-0.4723091, Accumulated Leap Seconds=32 + { 2453170.50, 64.656571 }, //14 June 2004, UT1-UTC=-0.4725712, Accumulated Leap Seconds=32 + { 2453171.50, 64.656623 }, //15 June 2004, UT1-UTC=-0.4726232, Accumulated Leap Seconds=32 + { 2453172.50, 64.656415 }, //16 June 2004, UT1-UTC=-0.4724155, Accumulated Leap Seconds=32 + { 2453173.50, 64.656003 }, //17 June 2004, UT1-UTC=-0.4720032, Accumulated Leap Seconds=32 + { 2453174.50, 64.655465 }, //18 June 2004, UT1-UTC=-0.4714649, Accumulated Leap Seconds=32 + { 2453175.50, 64.654858 }, //19 June 2004, UT1-UTC=-0.4708583, Accumulated Leap Seconds=32 + { 2453176.50, 64.654293 }, //20 June 2004, UT1-UTC=-0.4702929, Accumulated Leap Seconds=32 + { 2453177.50, 64.653771 }, //21 June 2004, UT1-UTC=-0.4697710, Accumulated Leap Seconds=32 + { 2453178.50, 64.653367 }, //22 June 2004, UT1-UTC=-0.4693670, Accumulated Leap Seconds=32 + { 2453179.50, 64.653125 }, //23 June 2004, UT1-UTC=-0.4691251, Accumulated Leap Seconds=32 + { 2453180.50, 64.653029 }, //24 June 2004, UT1-UTC=-0.4690291, Accumulated Leap Seconds=32 + { 2453181.50, 64.653118 }, //25 June 2004, UT1-UTC=-0.4691181, Accumulated Leap Seconds=32 + { 2453182.50, 64.653343 }, //26 June 2004, UT1-UTC=-0.4693427, Accumulated Leap Seconds=32 + { 2453183.50, 64.653547 }, //27 June 2004, UT1-UTC=-0.4695472, Accumulated Leap Seconds=32 + { 2453184.50, 64.653683 }, //28 June 2004, UT1-UTC=-0.4696828, Accumulated Leap Seconds=32 + { 2453185.50, 64.653669 }, //29 June 2004, UT1-UTC=-0.4696693, Accumulated Leap Seconds=32 + { 2453186.50, 64.653469 }, //30 June 2004, UT1-UTC=-0.4694692, Accumulated Leap Seconds=32 + { 2453187.50, 64.653002 }, //01 July 2004, UT1-UTC=-0.4690021, Accumulated Leap Seconds=32 + { 2453188.50, 64.652374 }, //02 July 2004, UT1-UTC=-0.4683745, Accumulated Leap Seconds=32 + { 2453189.50, 64.651605 }, //03 July 2004, UT1-UTC=-0.4676054, Accumulated Leap Seconds=32 + { 2453190.50, 64.650881 }, //04 July 2004, UT1-UTC=-0.4668810, Accumulated Leap Seconds=32 + { 2453191.50, 64.650358 }, //05 July 2004, UT1-UTC=-0.4663585, Accumulated Leap Seconds=32 + { 2453192.50, 64.650073 }, //06 July 2004, UT1-UTC=-0.4660735, Accumulated Leap Seconds=32 + { 2453193.50, 64.649948 }, //07 July 2004, UT1-UTC=-0.4659482, Accumulated Leap Seconds=32 + { 2453194.50, 64.649866 }, //08 July 2004, UT1-UTC=-0.4658656, Accumulated Leap Seconds=32 + { 2453195.50, 64.649747 }, //09 July 2004, UT1-UTC=-0.4657474, Accumulated Leap Seconds=32 + { 2453196.50, 64.649525 }, //10 July 2004, UT1-UTC=-0.4655254, Accumulated Leap Seconds=32 + { 2453197.50, 64.649147 }, //11 July 2004, UT1-UTC=-0.4651475, Accumulated Leap Seconds=32 + { 2453198.50, 64.648604 }, //12 July 2004, UT1-UTC=-0.4646036, Accumulated Leap Seconds=32 + { 2453199.50, 64.647873 }, //13 July 2004, UT1-UTC=-0.4638727, Accumulated Leap Seconds=32 + { 2453200.50, 64.646948 }, //14 July 2004, UT1-UTC=-0.4629481, Accumulated Leap Seconds=32 + { 2453201.50, 64.645923 }, //15 July 2004, UT1-UTC=-0.4619229, Accumulated Leap Seconds=32 + { 2453202.50, 64.644871 }, //16 July 2004, UT1-UTC=-0.4608714, Accumulated Leap Seconds=32 + { 2453203.50, 64.643860 }, //17 July 2004, UT1-UTC=-0.4598601, Accumulated Leap Seconds=32 + { 2453204.50, 64.642968 }, //18 July 2004, UT1-UTC=-0.4589683, Accumulated Leap Seconds=32 + { 2453205.50, 64.642231 }, //19 July 2004, UT1-UTC=-0.4582311, Accumulated Leap Seconds=32 + { 2453206.50, 64.641669 }, //20 July 2004, UT1-UTC=-0.4576692, Accumulated Leap Seconds=32 + { 2453207.50, 64.641318 }, //21 July 2004, UT1-UTC=-0.4573183, Accumulated Leap Seconds=32 + { 2453208.50, 64.641191 }, //22 July 2004, UT1-UTC=-0.4571907, Accumulated Leap Seconds=32 + { 2453209.50, 64.641210 }, //23 July 2004, UT1-UTC=-0.4572103, Accumulated Leap Seconds=32 + { 2453210.50, 64.641298 }, //24 July 2004, UT1-UTC=-0.4572983, Accumulated Leap Seconds=32 + { 2453211.50, 64.641357 }, //25 July 2004, UT1-UTC=-0.4573568, Accumulated Leap Seconds=32 + { 2453212.50, 64.641283 }, //26 July 2004, UT1-UTC=-0.4572825, Accumulated Leap Seconds=32 + { 2453213.50, 64.640994 }, //27 July 2004, UT1-UTC=-0.4569944, Accumulated Leap Seconds=32 + { 2453214.50, 64.640476 }, //28 July 2004, UT1-UTC=-0.4564759, Accumulated Leap Seconds=32 + { 2453215.50, 64.639774 }, //29 July 2004, UT1-UTC=-0.4557740, Accumulated Leap Seconds=32 + { 2453216.50, 64.639027 }, //30 July 2004, UT1-UTC=-0.4550266, Accumulated Leap Seconds=32 + { 2453217.50, 64.638375 }, //31 July 2004, UT1-UTC=-0.4543754, Accumulated Leap Seconds=32 + { 2453218.50, 64.637927 }, //01 August 2004, UT1-UTC=-0.4539271, Accumulated Leap Seconds=32 + { 2453219.50, 64.637780 }, //02 August 2004, UT1-UTC=-0.4537798, Accumulated Leap Seconds=32 + { 2453220.50, 64.637901 }, //03 August 2004, UT1-UTC=-0.4539005, Accumulated Leap Seconds=32 + { 2453221.50, 64.638152 }, //04 August 2004, UT1-UTC=-0.4541519, Accumulated Leap Seconds=32 + { 2453222.50, 64.638403 }, //05 August 2004, UT1-UTC=-0.4544035, Accumulated Leap Seconds=32 + { 2453223.50, 64.638557 }, //06 August 2004, UT1-UTC=-0.4545573, Accumulated Leap Seconds=32 + { 2453224.50, 64.638614 }, //07 August 2004, UT1-UTC=-0.4546140, Accumulated Leap Seconds=32 + { 2453225.50, 64.638519 }, //08 August 2004, UT1-UTC=-0.4545193, Accumulated Leap Seconds=32 + { 2453226.50, 64.638252 }, //09 August 2004, UT1-UTC=-0.4542521, Accumulated Leap Seconds=32 + { 2453227.50, 64.637819 }, //10 August 2004, UT1-UTC=-0.4538186, Accumulated Leap Seconds=32 + { 2453228.50, 64.637231 }, //11 August 2004, UT1-UTC=-0.4532315, Accumulated Leap Seconds=32 + { 2453229.50, 64.636618 }, //12 August 2004, UT1-UTC=-0.4526178, Accumulated Leap Seconds=32 + { 2453230.50, 64.635964 }, //13 August 2004, UT1-UTC=-0.4519642, Accumulated Leap Seconds=32 + { 2453231.50, 64.635396 }, //14 August 2004, UT1-UTC=-0.4513955, Accumulated Leap Seconds=32 + { 2453232.50, 64.634946 }, //15 August 2004, UT1-UTC=-0.4509461, Accumulated Leap Seconds=32 + { 2453233.50, 64.634690 }, //16 August 2004, UT1-UTC=-0.4506899, Accumulated Leap Seconds=32 + { 2453234.50, 64.634677 }, //17 August 2004, UT1-UTC=-0.4506768, Accumulated Leap Seconds=32 + { 2453235.50, 64.634907 }, //18 August 2004, UT1-UTC=-0.4509071, Accumulated Leap Seconds=32 + { 2453236.50, 64.635323 }, //19 August 2004, UT1-UTC=-0.4513232, Accumulated Leap Seconds=32 + { 2453237.50, 64.635857 }, //20 August 2004, UT1-UTC=-0.4518570, Accumulated Leap Seconds=32 + { 2453238.50, 64.636402 }, //21 August 2004, UT1-UTC=-0.4524024, Accumulated Leap Seconds=32 + { 2453239.50, 64.636818 }, //22 August 2004, UT1-UTC=-0.4528184, Accumulated Leap Seconds=32 + { 2453240.50, 64.637012 }, //23 August 2004, UT1-UTC=-0.4530124, Accumulated Leap Seconds=32 + { 2453241.50, 64.636983 }, //24 August 2004, UT1-UTC=-0.4529826, Accumulated Leap Seconds=32 + { 2453242.50, 64.636811 }, //25 August 2004, UT1-UTC=-0.4528113, Accumulated Leap Seconds=32 + { 2453243.50, 64.636466 }, //26 August 2004, UT1-UTC=-0.4524656, Accumulated Leap Seconds=32 + { 2453244.50, 64.636110 }, //27 August 2004, UT1-UTC=-0.4521097, Accumulated Leap Seconds=32 + { 2453245.50, 64.635840 }, //28 August 2004, UT1-UTC=-0.4518399, Accumulated Leap Seconds=32 + { 2453246.50, 64.635820 }, //29 August 2004, UT1-UTC=-0.4518199, Accumulated Leap Seconds=32 + { 2453247.50, 64.636083 }, //30 August 2004, UT1-UTC=-0.4520827, Accumulated Leap Seconds=32 + { 2453248.50, 64.636575 }, //31 August 2004, UT1-UTC=-0.4525752, Accumulated Leap Seconds=32 + { 2453249.50, 64.637161 }, //01 September 2004, UT1-UTC=-0.4531610, Accumulated Leap Seconds=32 + { 2453250.50, 64.637711 }, //02 September 2004, UT1-UTC=-0.4537106, Accumulated Leap Seconds=32 + { 2453251.50, 64.638086 }, //03 September 2004, UT1-UTC=-0.4540860, Accumulated Leap Seconds=32 + { 2453252.50, 64.638275 }, //04 September 2004, UT1-UTC=-0.4542748, Accumulated Leap Seconds=32 + { 2453253.50, 64.638195 }, //05 September 2004, UT1-UTC=-0.4541946, Accumulated Leap Seconds=32 + { 2453254.50, 64.637811 }, //06 September 2004, UT1-UTC=-0.4538114, Accumulated Leap Seconds=32 + { 2453255.50, 64.637192 }, //07 September 2004, UT1-UTC=-0.4531921, Accumulated Leap Seconds=32 + { 2453256.50, 64.636424 }, //08 September 2004, UT1-UTC=-0.4524242, Accumulated Leap Seconds=32 + { 2453257.50, 64.635621 }, //09 September 2004, UT1-UTC=-0.4516210, Accumulated Leap Seconds=32 + { 2453258.50, 64.634887 }, //10 September 2004, UT1-UTC=-0.4508872, Accumulated Leap Seconds=32 + { 2453259.50, 64.634351 }, //11 September 2004, UT1-UTC=-0.4503511, Accumulated Leap Seconds=32 + { 2453260.50, 64.634080 }, //12 September 2004, UT1-UTC=-0.4500804, Accumulated Leap Seconds=32 + { 2453261.50, 64.634102 }, //13 September 2004, UT1-UTC=-0.4501020, Accumulated Leap Seconds=32 + { 2453262.50, 64.634422 }, //14 September 2004, UT1-UTC=-0.4504218, Accumulated Leap Seconds=32 + { 2453263.50, 64.634972 }, //15 September 2004, UT1-UTC=-0.4509723, Accumulated Leap Seconds=32 + { 2453264.50, 64.635640 }, //16 September 2004, UT1-UTC=-0.4516403, Accumulated Leap Seconds=32 + { 2453265.50, 64.636298 }, //17 September 2004, UT1-UTC=-0.4522982, Accumulated Leap Seconds=32 + { 2453266.50, 64.636857 }, //18 September 2004, UT1-UTC=-0.4528574, Accumulated Leap Seconds=32 + { 2453267.50, 64.637157 }, //19 September 2004, UT1-UTC=-0.4531570, Accumulated Leap Seconds=32 + { 2453268.50, 64.637197 }, //20 September 2004, UT1-UTC=-0.4531973, Accumulated Leap Seconds=32 + { 2453269.50, 64.637032 }, //21 September 2004, UT1-UTC=-0.4530320, Accumulated Leap Seconds=32 + { 2453270.50, 64.636743 }, //22 September 2004, UT1-UTC=-0.4527430, Accumulated Leap Seconds=32 + { 2453271.50, 64.636446 }, //23 September 2004, UT1-UTC=-0.4524462, Accumulated Leap Seconds=32 + { 2453272.50, 64.636268 }, //24 September 2004, UT1-UTC=-0.4522676, Accumulated Leap Seconds=32 + { 2453273.50, 64.636329 }, //25 September 2004, UT1-UTC=-0.4523286, Accumulated Leap Seconds=32 + { 2453274.50, 64.636646 }, //26 September 2004, UT1-UTC=-0.4526464, Accumulated Leap Seconds=32 + { 2453275.50, 64.637184 }, //27 September 2004, UT1-UTC=-0.4531841, Accumulated Leap Seconds=32 + { 2453276.50, 64.637930 }, //28 September 2004, UT1-UTC=-0.4539305, Accumulated Leap Seconds=32 + { 2453277.50, 64.638742 }, //29 September 2004, UT1-UTC=-0.4547416, Accumulated Leap Seconds=32 + { 2453278.50, 64.639438 }, //30 September 2004, UT1-UTC=-0.4554377, Accumulated Leap Seconds=32 + { 2453279.50, 64.639961 }, //01 October 2004, UT1-UTC=-0.4559614, Accumulated Leap Seconds=32 + { 2453280.50, 64.640348 }, //02 October 2004, UT1-UTC=-0.4563478, Accumulated Leap Seconds=32 + { 2453281.50, 64.640560 }, //03 October 2004, UT1-UTC=-0.4565597, Accumulated Leap Seconds=32 + { 2453282.50, 64.640634 }, //04 October 2004, UT1-UTC=-0.4566339, Accumulated Leap Seconds=32 + { 2453283.50, 64.640647 }, //05 October 2004, UT1-UTC=-0.4566472, Accumulated Leap Seconds=32 + { 2453284.50, 64.640655 }, //06 October 2004, UT1-UTC=-0.4566548, Accumulated Leap Seconds=32 + { 2453285.50, 64.640741 }, //07 October 2004, UT1-UTC=-0.4567407, Accumulated Leap Seconds=32 + { 2453286.50, 64.640929 }, //08 October 2004, UT1-UTC=-0.4569290, Accumulated Leap Seconds=32 + { 2453287.50, 64.641137 }, //09 October 2004, UT1-UTC=-0.4571373, Accumulated Leap Seconds=32 + { 2453288.50, 64.641579 }, //10 October 2004, UT1-UTC=-0.4575789, Accumulated Leap Seconds=32 + { 2453289.50, 64.642231 }, //11 October 2004, UT1-UTC=-0.4582313, Accumulated Leap Seconds=32 + { 2453290.50, 64.643095 }, //12 October 2004, UT1-UTC=-0.4590946, Accumulated Leap Seconds=32 + { 2453291.50, 64.644153 }, //13 October 2004, UT1-UTC=-0.4601526, Accumulated Leap Seconds=32 + { 2453292.50, 64.645287 }, //14 October 2004, UT1-UTC=-0.4612869, Accumulated Leap Seconds=32 + { 2453293.50, 64.646352 }, //15 October 2004, UT1-UTC=-0.4623517, Accumulated Leap Seconds=32 + { 2453294.50, 64.647298 }, //16 October 2004, UT1-UTC=-0.4632979, Accumulated Leap Seconds=32 + { 2453295.50, 64.647902 }, //17 October 2004, UT1-UTC=-0.4639024, Accumulated Leap Seconds=32 + { 2453296.50, 64.648175 }, //18 October 2004, UT1-UTC=-0.4641753, Accumulated Leap Seconds=32 + { 2453297.50, 64.648233 }, //19 October 2004, UT1-UTC=-0.4642333, Accumulated Leap Seconds=32 + { 2453298.50, 64.648212 }, //20 October 2004, UT1-UTC=-0.4642125, Accumulated Leap Seconds=32 + { 2453299.50, 64.648265 }, //21 October 2004, UT1-UTC=-0.4642655, Accumulated Leap Seconds=32 + { 2453300.50, 64.648504 }, //22 October 2004, UT1-UTC=-0.4645035, Accumulated Leap Seconds=32 + { 2453301.50, 64.648966 }, //23 October 2004, UT1-UTC=-0.4649655, Accumulated Leap Seconds=32 + { 2453302.50, 64.649620 }, //24 October 2004, UT1-UTC=-0.4656198, Accumulated Leap Seconds=32 + { 2453303.50, 64.650428 }, //25 October 2004, UT1-UTC=-0.4664284, Accumulated Leap Seconds=32 + { 2453304.50, 64.651317 }, //26 October 2004, UT1-UTC=-0.4673169, Accumulated Leap Seconds=32 + { 2453305.50, 64.652220 }, //27 October 2004, UT1-UTC=-0.4682203, Accumulated Leap Seconds=32 + { 2453306.50, 64.653041 }, //28 October 2004, UT1-UTC=-0.4690408, Accumulated Leap Seconds=32 + { 2453307.50, 64.653693 }, //29 October 2004, UT1-UTC=-0.4696932, Accumulated Leap Seconds=32 + { 2453308.50, 64.654108 }, //30 October 2004, UT1-UTC=-0.4701077, Accumulated Leap Seconds=32 + { 2453309.50, 64.654286 }, //31 October 2004, UT1-UTC=-0.4702857, Accumulated Leap Seconds=32 + { 2453310.50, 64.654315 }, //01 November 2004, UT1-UTC=-0.4703152, Accumulated Leap Seconds=32 + { 2453311.50, 64.654287 }, //02 November 2004, UT1-UTC=-0.4702875, Accumulated Leap Seconds=32 + { 2453312.50, 64.654266 }, //03 November 2004, UT1-UTC=-0.4702657, Accumulated Leap Seconds=32 + { 2453313.50, 64.654298 }, //04 November 2004, UT1-UTC=-0.4702980, Accumulated Leap Seconds=32 + { 2453314.50, 64.654460 }, //05 November 2004, UT1-UTC=-0.4704602, Accumulated Leap Seconds=32 + { 2453315.50, 64.654849 }, //06 November 2004, UT1-UTC=-0.4708486, Accumulated Leap Seconds=32 + { 2453316.50, 64.655503 }, //07 November 2004, UT1-UTC=-0.4715030, Accumulated Leap Seconds=32 + { 2453317.50, 64.656419 }, //08 November 2004, UT1-UTC=-0.4724189, Accumulated Leap Seconds=32 + { 2453318.50, 64.657556 }, //09 November 2004, UT1-UTC=-0.4735563, Accumulated Leap Seconds=32 + { 2453319.50, 64.658853 }, //10 November 2004, UT1-UTC=-0.4748534, Accumulated Leap Seconds=32 + { 2453320.50, 64.660163 }, //11 November 2004, UT1-UTC=-0.4761631, Accumulated Leap Seconds=32 + { 2453321.50, 64.661341 }, //12 November 2004, UT1-UTC=-0.4773411, Accumulated Leap Seconds=32 + { 2453322.50, 64.662352 }, //13 November 2004, UT1-UTC=-0.4783524, Accumulated Leap Seconds=32 + { 2453323.50, 64.663059 }, //14 November 2004, UT1-UTC=-0.4790588, Accumulated Leap Seconds=32 + { 2453324.50, 64.663503 }, //15 November 2004, UT1-UTC=-0.4795027, Accumulated Leap Seconds=32 + { 2453325.50, 64.663833 }, //16 November 2004, UT1-UTC=-0.4798327, Accumulated Leap Seconds=32 + { 2453326.50, 64.664174 }, //17 November 2004, UT1-UTC=-0.4801739, Accumulated Leap Seconds=32 + { 2453327.50, 64.664665 }, //18 November 2004, UT1-UTC=-0.4806647, Accumulated Leap Seconds=32 + { 2453328.50, 64.665382 }, //19 November 2004, UT1-UTC=-0.4813818, Accumulated Leap Seconds=32 + { 2453329.50, 64.666305 }, //20 November 2004, UT1-UTC=-0.4823048, Accumulated Leap Seconds=32 + { 2453330.50, 64.667391 }, //21 November 2004, UT1-UTC=-0.4833914, Accumulated Leap Seconds=32 + { 2453331.50, 64.668522 }, //22 November 2004, UT1-UTC=-0.4845220, Accumulated Leap Seconds=32 + { 2453332.50, 64.669622 }, //23 November 2004, UT1-UTC=-0.4856220, Accumulated Leap Seconds=32 + { 2453333.50, 64.670604 }, //24 November 2004, UT1-UTC=-0.4866044, Accumulated Leap Seconds=32 + { 2453334.50, 64.671377 }, //25 November 2004, UT1-UTC=-0.4873770, Accumulated Leap Seconds=32 + { 2453335.50, 64.671945 }, //26 November 2004, UT1-UTC=-0.4879449, Accumulated Leap Seconds=32 + { 2453336.50, 64.672264 }, //27 November 2004, UT1-UTC=-0.4882643, Accumulated Leap Seconds=32 + { 2453337.50, 64.672381 }, //28 November 2004, UT1-UTC=-0.4883812, Accumulated Leap Seconds=32 + { 2453338.50, 64.672390 }, //29 November 2004, UT1-UTC=-0.4883904, Accumulated Leap Seconds=32 + { 2453339.50, 64.672361 }, //30 November 2004, UT1-UTC=-0.4883606, Accumulated Leap Seconds=32 + { 2453340.50, 64.672316 }, //01 December 2004, UT1-UTC=-0.4883164, Accumulated Leap Seconds=32 + { 2453341.50, 64.672446 }, //02 December 2004, UT1-UTC=-0.4884463, Accumulated Leap Seconds=32 + { 2453342.50, 64.672732 }, //03 December 2004, UT1-UTC=-0.4887324, Accumulated Leap Seconds=32 + { 2453343.50, 64.673180 }, //04 December 2004, UT1-UTC=-0.4891801, Accumulated Leap Seconds=32 + { 2453344.50, 64.673842 }, //05 December 2004, UT1-UTC=-0.4898425, Accumulated Leap Seconds=32 + { 2453345.50, 64.674709 }, //06 December 2004, UT1-UTC=-0.4907088, Accumulated Leap Seconds=32 + { 2453346.50, 64.675723 }, //07 December 2004, UT1-UTC=-0.4917230, Accumulated Leap Seconds=32 + { 2453347.50, 64.676816 }, //08 December 2004, UT1-UTC=-0.4928163, Accumulated Leap Seconds=32 + { 2453348.50, 64.677858 }, //09 December 2004, UT1-UTC=-0.4938577, Accumulated Leap Seconds=32 + { 2453349.50, 64.678681 }, //10 December 2004, UT1-UTC=-0.4946810, Accumulated Leap Seconds=32 + { 2453350.50, 64.679313 }, //11 December 2004, UT1-UTC=-0.4953129, Accumulated Leap Seconds=32 + { 2453351.50, 64.679699 }, //12 December 2004, UT1-UTC=-0.4956992, Accumulated Leap Seconds=32 + { 2453352.50, 64.679909 }, //13 December 2004, UT1-UTC=-0.4959089, Accumulated Leap Seconds=32 + { 2453353.50, 64.680104 }, //14 December 2004, UT1-UTC=-0.4961039, Accumulated Leap Seconds=32 + { 2453354.50, 64.680483 }, //15 December 2004, UT1-UTC=-0.4964835, Accumulated Leap Seconds=32 + { 2453355.50, 64.681090 }, //16 December 2004, UT1-UTC=-0.4970905, Accumulated Leap Seconds=32 + { 2453356.50, 64.681906 }, //17 December 2004, UT1-UTC=-0.4979061, Accumulated Leap Seconds=32 + { 2453357.50, 64.682904 }, //18 December 2004, UT1-UTC=-0.4989039, Accumulated Leap Seconds=32 + { 2453358.50, 64.683963 }, //19 December 2004, UT1-UTC=-0.4999633, Accumulated Leap Seconds=32 + { 2453359.50, 64.685023 }, //20 December 2004, UT1-UTC=-0.5010228, Accumulated Leap Seconds=32 + { 2453360.50, 64.685941 }, //21 December 2004, UT1-UTC=-0.5019410, Accumulated Leap Seconds=32 + { 2453361.50, 64.686589 }, //22 December 2004, UT1-UTC=-0.5025887, Accumulated Leap Seconds=32 + { 2453362.50, 64.687075 }, //23 December 2004, UT1-UTC=-0.5030749, Accumulated Leap Seconds=32 + { 2453363.50, 64.687352 }, //24 December 2004, UT1-UTC=-0.5033518, Accumulated Leap Seconds=32 + { 2453364.50, 64.687395 }, //25 December 2004, UT1-UTC=-0.5033951, Accumulated Leap Seconds=32 + { 2453365.50, 64.687288 }, //26 December 2004, UT1-UTC=-0.5032880, Accumulated Leap Seconds=32 + { 2453366.50, 64.687131 }, //27 December 2004, UT1-UTC=-0.5031306, Accumulated Leap Seconds=32 + { 2453367.50, 64.687004 }, //28 December 2004, UT1-UTC=-0.5030036, Accumulated Leap Seconds=32 + { 2453368.50, 64.686949 }, //29 December 2004, UT1-UTC=-0.5029488, Accumulated Leap Seconds=32 + { 2453369.50, 64.686973 }, //30 December 2004, UT1-UTC=-0.5029735, Accumulated Leap Seconds=32 + { 2453370.50, 64.687188 }, //31 December 2004, UT1-UTC=-0.5031882, Accumulated Leap Seconds=32 + { 2453371.50, 64.687631 }, //01 January 2005, UT1-UTC=-0.5036311, Accumulated Leap Seconds=32 + { 2453372.50, 64.688263 }, //02 January 2005, UT1-UTC=-0.5042627, Accumulated Leap Seconds=32 + { 2453373.50, 64.689009 }, //03 January 2005, UT1-UTC=-0.5050088, Accumulated Leap Seconds=32 + { 2453374.50, 64.689848 }, //04 January 2005, UT1-UTC=-0.5058481, Accumulated Leap Seconds=32 + { 2453375.50, 64.690691 }, //05 January 2005, UT1-UTC=-0.5066907, Accumulated Leap Seconds=32 + { 2453376.50, 64.691395 }, //06 January 2005, UT1-UTC=-0.5073947, Accumulated Leap Seconds=32 + { 2453377.50, 64.691878 }, //07 January 2005, UT1-UTC=-0.5078776, Accumulated Leap Seconds=32 + { 2453378.50, 64.692158 }, //08 January 2005, UT1-UTC=-0.5081577, Accumulated Leap Seconds=32 + { 2453379.50, 64.692328 }, //09 January 2005, UT1-UTC=-0.5083283, Accumulated Leap Seconds=32 + { 2453380.50, 64.692507 }, //10 January 2005, UT1-UTC=-0.5085068, Accumulated Leap Seconds=32 + { 2453381.50, 64.692784 }, //11 January 2005, UT1-UTC=-0.5087841, Accumulated Leap Seconds=32 + { 2453382.50, 64.693335 }, //12 January 2005, UT1-UTC=-0.5093349, Accumulated Leap Seconds=32 + { 2453383.50, 64.694181 }, //13 January 2005, UT1-UTC=-0.5101808, Accumulated Leap Seconds=32 + { 2453384.50, 64.695269 }, //14 January 2005, UT1-UTC=-0.5112689, Accumulated Leap Seconds=32 + { 2453385.50, 64.696456 }, //15 January 2005, UT1-UTC=-0.5124561, Accumulated Leap Seconds=32 + { 2453386.50, 64.697655 }, //16 January 2005, UT1-UTC=-0.5136546, Accumulated Leap Seconds=32 + { 2453387.50, 64.698761 }, //17 January 2005, UT1-UTC=-0.5147612, Accumulated Leap Seconds=32 + { 2453388.50, 64.699702 }, //18 January 2005, UT1-UTC=-0.5157019, Accumulated Leap Seconds=32 + { 2453389.50, 64.700415 }, //19 January 2005, UT1-UTC=-0.5164151, Accumulated Leap Seconds=32 + { 2453390.50, 64.700891 }, //20 January 2005, UT1-UTC=-0.5168915, Accumulated Leap Seconds=32 + { 2453391.50, 64.701218 }, //21 January 2005, UT1-UTC=-0.5172180, Accumulated Leap Seconds=32 + { 2453392.50, 64.701403 }, //22 January 2005, UT1-UTC=-0.5174033, Accumulated Leap Seconds=32 + { 2453393.50, 64.701485 }, //23 January 2005, UT1-UTC=-0.5174851, Accumulated Leap Seconds=32 + { 2453394.50, 64.701525 }, //24 January 2005, UT1-UTC=-0.5175253, Accumulated Leap Seconds=32 + { 2453395.50, 64.701582 }, //25 January 2005, UT1-UTC=-0.5175818, Accumulated Leap Seconds=32 + { 2453396.50, 64.701706 }, //26 January 2005, UT1-UTC=-0.5177056, Accumulated Leap Seconds=32 + { 2453397.50, 64.701973 }, //27 January 2005, UT1-UTC=-0.5179730, Accumulated Leap Seconds=32 + { 2453398.50, 64.702436 }, //28 January 2005, UT1-UTC=-0.5184360, Accumulated Leap Seconds=32 + { 2453399.50, 64.703053 }, //29 January 2005, UT1-UTC=-0.5190534, Accumulated Leap Seconds=32 + { 2453400.50, 64.703740 }, //30 January 2005, UT1-UTC=-0.5197397, Accumulated Leap Seconds=32 + { 2453401.50, 64.704463 }, //31 January 2005, UT1-UTC=-0.5204631, Accumulated Leap Seconds=32 + { 2453402.50, 64.705191 }, //01 February 2005, UT1-UTC=-0.5211905, Accumulated Leap Seconds=32 + { 2453403.50, 64.705874 }, //02 February 2005, UT1-UTC=-0.5218738, Accumulated Leap Seconds=32 + { 2453404.50, 64.706405 }, //03 February 2005, UT1-UTC=-0.5224047, Accumulated Leap Seconds=32 + { 2453405.50, 64.706754 }, //04 February 2005, UT1-UTC=-0.5227538, Accumulated Leap Seconds=32 + { 2453406.50, 64.706942 }, //05 February 2005, UT1-UTC=-0.5229425, Accumulated Leap Seconds=32 + { 2453407.50, 64.707176 }, //06 February 2005, UT1-UTC=-0.5231756, Accumulated Leap Seconds=32 + { 2453408.50, 64.707545 }, //07 February 2005, UT1-UTC=-0.5235446, Accumulated Leap Seconds=32 + { 2453409.50, 64.708069 }, //08 February 2005, UT1-UTC=-0.5240695, Accumulated Leap Seconds=32 + { 2453410.50, 64.708876 }, //09 February 2005, UT1-UTC=-0.5248763, Accumulated Leap Seconds=32 + { 2453411.50, 64.710032 }, //10 February 2005, UT1-UTC=-0.5260316, Accumulated Leap Seconds=32 + { 2453412.50, 64.711455 }, //11 February 2005, UT1-UTC=-0.5274547, Accumulated Leap Seconds=32 + { 2453413.50, 64.713023 }, //12 February 2005, UT1-UTC=-0.5290234, Accumulated Leap Seconds=32 + { 2453414.50, 64.714555 }, //13 February 2005, UT1-UTC=-0.5305546, Accumulated Leap Seconds=32 + { 2453415.50, 64.715899 }, //14 February 2005, UT1-UTC=-0.5318992, Accumulated Leap Seconds=32 + { 2453416.50, 64.716979 }, //15 February 2005, UT1-UTC=-0.5329786, Accumulated Leap Seconds=32 + { 2453417.50, 64.717759 }, //16 February 2005, UT1-UTC=-0.5337595, Accumulated Leap Seconds=32 + { 2453418.50, 64.718304 }, //17 February 2005, UT1-UTC=-0.5343039, Accumulated Leap Seconds=32 + { 2453419.50, 64.718695 }, //18 February 2005, UT1-UTC=-0.5346954, Accumulated Leap Seconds=32 + { 2453420.50, 64.719121 }, //19 February 2005, UT1-UTC=-0.5351206, Accumulated Leap Seconds=32 + { 2453421.50, 64.719640 }, //20 February 2005, UT1-UTC=-0.5356405, Accumulated Leap Seconds=32 + { 2453422.50, 64.720288 }, //21 February 2005, UT1-UTC=-0.5362883, Accumulated Leap Seconds=32 + { 2453423.50, 64.721105 }, //22 February 2005, UT1-UTC=-0.5371051, Accumulated Leap Seconds=32 + { 2453424.50, 64.722099 }, //23 February 2005, UT1-UTC=-0.5380987, Accumulated Leap Seconds=32 + { 2453425.50, 64.723295 }, //24 February 2005, UT1-UTC=-0.5392947, Accumulated Leap Seconds=32 + { 2453426.50, 64.724706 }, //25 February 2005, UT1-UTC=-0.5407065, Accumulated Leap Seconds=32 + { 2453427.50, 64.726305 }, //26 February 2005, UT1-UTC=-0.5423051, Accumulated Leap Seconds=32 + { 2453428.50, 64.728027 }, //27 February 2005, UT1-UTC=-0.5440274, Accumulated Leap Seconds=32 + { 2453429.50, 64.729726 }, //28 February 2005, UT1-UTC=-0.5457256, Accumulated Leap Seconds=32 + { 2453430.50, 64.731343 }, //01 March 2005, UT1-UTC=-0.5473433, Accumulated Leap Seconds=32 + { 2453431.50, 64.732826 }, //02 March 2005, UT1-UTC=-0.5488256, Accumulated Leap Seconds=32 + { 2453432.50, 64.734107 }, //03 March 2005, UT1-UTC=-0.5501067, Accumulated Leap Seconds=32 + { 2453433.50, 64.735212 }, //04 March 2005, UT1-UTC=-0.5512121, Accumulated Leap Seconds=32 + { 2453434.50, 64.736216 }, //05 March 2005, UT1-UTC=-0.5522160, Accumulated Leap Seconds=32 + { 2453435.50, 64.737158 }, //06 March 2005, UT1-UTC=-0.5531581, Accumulated Leap Seconds=32 + { 2453436.50, 64.738124 }, //07 March 2005, UT1-UTC=-0.5541239, Accumulated Leap Seconds=32 + { 2453437.50, 64.739230 }, //08 March 2005, UT1-UTC=-0.5552297, Accumulated Leap Seconds=32 + { 2453438.50, 64.740500 }, //09 March 2005, UT1-UTC=-0.5565004, Accumulated Leap Seconds=32 + { 2453439.50, 64.741891 }, //10 March 2005, UT1-UTC=-0.5578906, Accumulated Leap Seconds=32 + { 2453440.50, 64.743377 }, //11 March 2005, UT1-UTC=-0.5593770, Accumulated Leap Seconds=32 + { 2453441.50, 64.744905 }, //12 March 2005, UT1-UTC=-0.5609054, Accumulated Leap Seconds=32 + { 2453442.50, 64.746288 }, //13 March 2005, UT1-UTC=-0.5622876, Accumulated Leap Seconds=32 + { 2453443.50, 64.747396 }, //14 March 2005, UT1-UTC=-0.5633959, Accumulated Leap Seconds=32 + { 2453444.50, 64.748160 }, //15 March 2005, UT1-UTC=-0.5641599, Accumulated Leap Seconds=32 + { 2453445.50, 64.748583 }, //16 March 2005, UT1-UTC=-0.5645828, Accumulated Leap Seconds=32 + { 2453446.50, 64.748760 }, //17 March 2005, UT1-UTC=-0.5647604, Accumulated Leap Seconds=32 + { 2453447.50, 64.748807 }, //18 March 2005, UT1-UTC=-0.5648075, Accumulated Leap Seconds=32 + { 2453448.50, 64.748849 }, //19 March 2005, UT1-UTC=-0.5648490, Accumulated Leap Seconds=32 + { 2453449.50, 64.748937 }, //20 March 2005, UT1-UTC=-0.5649368, Accumulated Leap Seconds=32 + { 2453450.50, 64.749114 }, //21 March 2005, UT1-UTC=-0.5651139, Accumulated Leap Seconds=32 + { 2453451.50, 64.749442 }, //22 March 2005, UT1-UTC=-0.5654418, Accumulated Leap Seconds=32 + { 2453452.50, 64.750024 }, //23 March 2005, UT1-UTC=-0.5660242, Accumulated Leap Seconds=32 + { 2453453.50, 64.750873 }, //24 March 2005, UT1-UTC=-0.5668735, Accumulated Leap Seconds=32 + { 2453454.50, 64.751938 }, //25 March 2005, UT1-UTC=-0.5679385, Accumulated Leap Seconds=32 + { 2453455.50, 64.753128 }, //26 March 2005, UT1-UTC=-0.5691276, Accumulated Leap Seconds=32 + { 2453456.50, 64.754319 }, //27 March 2005, UT1-UTC=-0.5703189, Accumulated Leap Seconds=32 + { 2453457.50, 64.755410 }, //28 March 2005, UT1-UTC=-0.5714102, Accumulated Leap Seconds=32 + { 2453458.50, 64.756319 }, //29 March 2005, UT1-UTC=-0.5723188, Accumulated Leap Seconds=32 + { 2453459.50, 64.756978 }, //30 March 2005, UT1-UTC=-0.5729782, Accumulated Leap Seconds=32 + { 2453460.50, 64.757354 }, //31 March 2005, UT1-UTC=-0.5733537, Accumulated Leap Seconds=32 + { 2453461.50, 64.757531 }, //01 April 2005, UT1-UTC=-0.5735312, Accumulated Leap Seconds=32 + { 2453462.50, 64.757623 }, //02 April 2005, UT1-UTC=-0.5736228, Accumulated Leap Seconds=32 + { 2453463.50, 64.757847 }, //03 April 2005, UT1-UTC=-0.5738473, Accumulated Leap Seconds=32 + { 2453464.50, 64.758313 }, //04 April 2005, UT1-UTC=-0.5743133, Accumulated Leap Seconds=32 + { 2453465.50, 64.759076 }, //05 April 2005, UT1-UTC=-0.5750763, Accumulated Leap Seconds=32 + { 2453466.50, 64.760062 }, //06 April 2005, UT1-UTC=-0.5760620, Accumulated Leap Seconds=32 + { 2453467.50, 64.761231 }, //07 April 2005, UT1-UTC=-0.5772309, Accumulated Leap Seconds=32 + { 2453468.50, 64.762517 }, //08 April 2005, UT1-UTC=-0.5785169, Accumulated Leap Seconds=32 + { 2453469.50, 64.763796 }, //09 April 2005, UT1-UTC=-0.5797958, Accumulated Leap Seconds=32 + { 2453470.50, 64.764854 }, //10 April 2005, UT1-UTC=-0.5808544, Accumulated Leap Seconds=32 + { 2453471.50, 64.765585 }, //11 April 2005, UT1-UTC=-0.5815846, Accumulated Leap Seconds=32 + { 2453472.50, 64.766065 }, //12 April 2005, UT1-UTC=-0.5820651, Accumulated Leap Seconds=32 + { 2453473.50, 64.766345 }, //13 April 2005, UT1-UTC=-0.5823454, Accumulated Leap Seconds=32 + { 2453474.50, 64.766586 }, //14 April 2005, UT1-UTC=-0.5825858, Accumulated Leap Seconds=32 + { 2453475.50, 64.766843 }, //15 April 2005, UT1-UTC=-0.5828435, Accumulated Leap Seconds=32 + { 2453476.50, 64.767175 }, //16 April 2005, UT1-UTC=-0.5831746, Accumulated Leap Seconds=32 + { 2453477.50, 64.767653 }, //17 April 2005, UT1-UTC=-0.5836531, Accumulated Leap Seconds=32 + { 2453478.50, 64.768300 }, //18 April 2005, UT1-UTC=-0.5843004, Accumulated Leap Seconds=32 + { 2453479.50, 64.769145 }, //19 April 2005, UT1-UTC=-0.5851451, Accumulated Leap Seconds=32 + { 2453480.50, 64.770181 }, //20 April 2005, UT1-UTC=-0.5861815, Accumulated Leap Seconds=32 + { 2453481.50, 64.771395 }, //21 April 2005, UT1-UTC=-0.5873950, Accumulated Leap Seconds=32 + { 2453482.50, 64.772758 }, //22 April 2005, UT1-UTC=-0.5887581, Accumulated Leap Seconds=32 + { 2453483.50, 64.774175 }, //23 April 2005, UT1-UTC=-0.5901745, Accumulated Leap Seconds=32 + { 2453484.50, 64.775602 }, //24 April 2005, UT1-UTC=-0.5916018, Accumulated Leap Seconds=32 + { 2453485.50, 64.776923 }, //25 April 2005, UT1-UTC=-0.5929231, Accumulated Leap Seconds=32 + { 2453486.50, 64.778046 }, //26 April 2005, UT1-UTC=-0.5940459, Accumulated Leap Seconds=32 + { 2453487.50, 64.778902 }, //27 April 2005, UT1-UTC=-0.5949024, Accumulated Leap Seconds=32 + { 2453488.50, 64.779502 }, //28 April 2005, UT1-UTC=-0.5955016, Accumulated Leap Seconds=32 + { 2453489.50, 64.779957 }, //29 April 2005, UT1-UTC=-0.5959571, Accumulated Leap Seconds=32 + { 2453490.50, 64.780468 }, //30 April 2005, UT1-UTC=-0.5964681, Accumulated Leap Seconds=32 + { 2453491.50, 64.781114 }, //01 May 2005, UT1-UTC=-0.5971143, Accumulated Leap Seconds=32 + { 2453492.50, 64.781990 }, //02 May 2005, UT1-UTC=-0.5979901, Accumulated Leap Seconds=32 + { 2453493.50, 64.783113 }, //03 May 2005, UT1-UTC=-0.5991133, Accumulated Leap Seconds=32 + { 2453494.50, 64.784440 }, //04 May 2005, UT1-UTC=-0.6004401, Accumulated Leap Seconds=32 + { 2453495.50, 64.785849 }, //05 May 2005, UT1-UTC=-0.6018485, Accumulated Leap Seconds=32 + { 2453496.50, 64.787197 }, //06 May 2005, UT1-UTC=-0.6031968, Accumulated Leap Seconds=32 + { 2453497.50, 64.788406 }, //07 May 2005, UT1-UTC=-0.6044061, Accumulated Leap Seconds=32 + { 2453498.50, 64.789440 }, //08 May 2005, UT1-UTC=-0.6054396, Accumulated Leap Seconds=32 + { 2453499.50, 64.790232 }, //09 May 2005, UT1-UTC=-0.6062322, Accumulated Leap Seconds=32 + { 2453500.50, 64.790792 }, //10 May 2005, UT1-UTC=-0.6067919, Accumulated Leap Seconds=32 + { 2453501.50, 64.791171 }, //11 May 2005, UT1-UTC=-0.6071706, Accumulated Leap Seconds=32 + { 2453502.50, 64.791429 }, //12 May 2005, UT1-UTC=-0.6074286, Accumulated Leap Seconds=32 + { 2453503.50, 64.791676 }, //13 May 2005, UT1-UTC=-0.6076761, Accumulated Leap Seconds=32 + { 2453504.50, 64.791927 }, //14 May 2005, UT1-UTC=-0.6079271, Accumulated Leap Seconds=32 + { 2453505.50, 64.792308 }, //15 May 2005, UT1-UTC=-0.6083077, Accumulated Leap Seconds=32 + { 2453506.50, 64.792865 }, //16 May 2005, UT1-UTC=-0.6088646, Accumulated Leap Seconds=32 + { 2453507.50, 64.793586 }, //17 May 2005, UT1-UTC=-0.6095860, Accumulated Leap Seconds=32 + { 2453508.50, 64.794413 }, //18 May 2005, UT1-UTC=-0.6104126, Accumulated Leap Seconds=32 + { 2453509.50, 64.795367 }, //19 May 2005, UT1-UTC=-0.6113669, Accumulated Leap Seconds=32 + { 2453510.50, 64.796394 }, //20 May 2005, UT1-UTC=-0.6123944, Accumulated Leap Seconds=32 + { 2453511.50, 64.797354 }, //21 May 2005, UT1-UTC=-0.6133540, Accumulated Leap Seconds=32 + { 2453512.50, 64.798219 }, //22 May 2005, UT1-UTC=-0.6142188, Accumulated Leap Seconds=32 + { 2453513.50, 64.798838 }, //23 May 2005, UT1-UTC=-0.6148382, Accumulated Leap Seconds=32 + { 2453514.50, 64.799132 }, //24 May 2005, UT1-UTC=-0.6151316, Accumulated Leap Seconds=32 + { 2453515.50, 64.799113 }, //25 May 2005, UT1-UTC=-0.6151126, Accumulated Leap Seconds=32 + { 2453516.50, 64.798859 }, //26 May 2005, UT1-UTC=-0.6148593, Accumulated Leap Seconds=32 + { 2453517.50, 64.798560 }, //27 May 2005, UT1-UTC=-0.6145596, Accumulated Leap Seconds=32 + { 2453518.50, 64.798407 }, //28 May 2005, UT1-UTC=-0.6144072, Accumulated Leap Seconds=32 + { 2453519.50, 64.798490 }, //29 May 2005, UT1-UTC=-0.6144904, Accumulated Leap Seconds=32 + { 2453520.50, 64.798824 }, //30 May 2005, UT1-UTC=-0.6148240, Accumulated Leap Seconds=32 + { 2453521.50, 64.799383 }, //31 May 2005, UT1-UTC=-0.6153832, Accumulated Leap Seconds=32 + { 2453522.50, 64.800093 }, //01 June 2005, UT1-UTC=-0.6160929, Accumulated Leap Seconds=32 + { 2453523.50, 64.800820 }, //02 June 2005, UT1-UTC=-0.6168203, Accumulated Leap Seconds=32 + { 2453524.50, 64.801375 }, //03 June 2005, UT1-UTC=-0.6173750, Accumulated Leap Seconds=32 + { 2453525.50, 64.801671 }, //04 June 2005, UT1-UTC=-0.6176712, Accumulated Leap Seconds=32 + { 2453526.50, 64.801769 }, //05 June 2005, UT1-UTC=-0.6177695, Accumulated Leap Seconds=32 + { 2453527.50, 64.801632 }, //06 June 2005, UT1-UTC=-0.6176318, Accumulated Leap Seconds=32 + { 2453528.50, 64.801303 }, //07 June 2005, UT1-UTC=-0.6173033, Accumulated Leap Seconds=32 + { 2453529.50, 64.800834 }, //08 June 2005, UT1-UTC=-0.6168337, Accumulated Leap Seconds=32 + { 2453530.50, 64.800260 }, //09 June 2005, UT1-UTC=-0.6162601, Accumulated Leap Seconds=32 + { 2453531.50, 64.799740 }, //10 June 2005, UT1-UTC=-0.6157397, Accumulated Leap Seconds=32 + { 2453532.50, 64.799344 }, //11 June 2005, UT1-UTC=-0.6153436, Accumulated Leap Seconds=32 + { 2453533.50, 64.799058 }, //12 June 2005, UT1-UTC=-0.6150583, Accumulated Leap Seconds=32 + { 2453534.50, 64.798900 }, //13 June 2005, UT1-UTC=-0.6148997, Accumulated Leap Seconds=32 + { 2453535.50, 64.798906 }, //14 June 2005, UT1-UTC=-0.6149058, Accumulated Leap Seconds=32 + { 2453536.50, 64.799070 }, //15 June 2005, UT1-UTC=-0.6150703, Accumulated Leap Seconds=32 + { 2453537.50, 64.799378 }, //16 June 2005, UT1-UTC=-0.6153776, Accumulated Leap Seconds=32 + { 2453538.50, 64.799773 }, //17 June 2005, UT1-UTC=-0.6157731, Accumulated Leap Seconds=32 + { 2453539.50, 64.800124 }, //18 June 2005, UT1-UTC=-0.6161240, Accumulated Leap Seconds=32 + { 2453540.50, 64.800300 }, //19 June 2005, UT1-UTC=-0.6162996, Accumulated Leap Seconds=32 + { 2453541.50, 64.800233 }, //20 June 2005, UT1-UTC=-0.6162332, Accumulated Leap Seconds=32 + { 2453542.50, 64.799941 }, //21 June 2005, UT1-UTC=-0.6159410, Accumulated Leap Seconds=32 + { 2453543.50, 64.799464 }, //22 June 2005, UT1-UTC=-0.6154641, Accumulated Leap Seconds=32 + { 2453544.50, 64.798956 }, //23 June 2005, UT1-UTC=-0.6149561, Accumulated Leap Seconds=32 + { 2453545.50, 64.798575 }, //24 June 2005, UT1-UTC=-0.6145745, Accumulated Leap Seconds=32 + { 2453546.50, 64.798415 }, //25 June 2005, UT1-UTC=-0.6144151, Accumulated Leap Seconds=32 + { 2453547.50, 64.798536 }, //26 June 2005, UT1-UTC=-0.6145364, Accumulated Leap Seconds=32 + { 2453548.50, 64.798801 }, //27 June 2005, UT1-UTC=-0.6148010, Accumulated Leap Seconds=32 + { 2453549.50, 64.799127 }, //28 June 2005, UT1-UTC=-0.6151267, Accumulated Leap Seconds=32 + { 2453550.50, 64.799392 }, //29 June 2005, UT1-UTC=-0.6153920, Accumulated Leap Seconds=32 + { 2453551.50, 64.799544 }, //30 June 2005, UT1-UTC=-0.6155443, Accumulated Leap Seconds=32 + { 2453552.50, 64.799456 }, //01 July 2005, UT1-UTC=-0.6154561, Accumulated Leap Seconds=32 + { 2453553.50, 64.799103 }, //02 July 2005, UT1-UTC=-0.6151027, Accumulated Leap Seconds=32 + { 2453554.50, 64.798447 }, //03 July 2005, UT1-UTC=-0.6144473, Accumulated Leap Seconds=32 + { 2453555.50, 64.797536 }, //04 July 2005, UT1-UTC=-0.6135364, Accumulated Leap Seconds=32 + { 2453556.50, 64.796509 }, //05 July 2005, UT1-UTC=-0.6125092, Accumulated Leap Seconds=32 + { 2453557.50, 64.795458 }, //06 July 2005, UT1-UTC=-0.6114583, Accumulated Leap Seconds=32 + { 2453558.50, 64.794465 }, //07 July 2005, UT1-UTC=-0.6104654, Accumulated Leap Seconds=32 + { 2453559.50, 64.793613 }, //08 July 2005, UT1-UTC=-0.6096134, Accumulated Leap Seconds=32 + { 2453560.50, 64.792896 }, //09 July 2005, UT1-UTC=-0.6088955, Accumulated Leap Seconds=32 + { 2453561.50, 64.792333 }, //10 July 2005, UT1-UTC=-0.6083329, Accumulated Leap Seconds=32 + { 2453562.50, 64.791994 }, //11 July 2005, UT1-UTC=-0.6079942, Accumulated Leap Seconds=32 + { 2453563.50, 64.791833 }, //12 July 2005, UT1-UTC=-0.6078326, Accumulated Leap Seconds=32 + { 2453564.50, 64.791765 }, //13 July 2005, UT1-UTC=-0.6077653, Accumulated Leap Seconds=32 + { 2453565.50, 64.791752 }, //14 July 2005, UT1-UTC=-0.6077515, Accumulated Leap Seconds=32 + { 2453566.50, 64.791678 }, //15 July 2005, UT1-UTC=-0.6076784, Accumulated Leap Seconds=32 + { 2453567.50, 64.791473 }, //16 July 2005, UT1-UTC=-0.6074731, Accumulated Leap Seconds=32 + { 2453568.50, 64.791107 }, //17 July 2005, UT1-UTC=-0.6071073, Accumulated Leap Seconds=32 + { 2453569.50, 64.790492 }, //18 July 2005, UT1-UTC=-0.6064925, Accumulated Leap Seconds=32 + { 2453570.50, 64.789696 }, //19 July 2005, UT1-UTC=-0.6056959, Accumulated Leap Seconds=32 + { 2453571.50, 64.788837 }, //20 July 2005, UT1-UTC=-0.6048368, Accumulated Leap Seconds=32 + { 2453572.50, 64.788040 }, //21 July 2005, UT1-UTC=-0.6040402, Accumulated Leap Seconds=32 + { 2453573.50, 64.787401 }, //22 July 2005, UT1-UTC=-0.6034009, Accumulated Leap Seconds=32 + { 2453574.50, 64.787150 }, //23 July 2005, UT1-UTC=-0.6031503, Accumulated Leap Seconds=32 + { 2453575.50, 64.787252 }, //24 July 2005, UT1-UTC=-0.6032519, Accumulated Leap Seconds=32 + { 2453576.50, 64.787647 }, //25 July 2005, UT1-UTC=-0.6036473, Accumulated Leap Seconds=32 + { 2453577.50, 64.788140 }, //26 July 2005, UT1-UTC=-0.6041398, Accumulated Leap Seconds=32 + { 2453578.50, 64.788576 }, //27 July 2005, UT1-UTC=-0.6045763, Accumulated Leap Seconds=32 + { 2453579.50, 64.788837 }, //28 July 2005, UT1-UTC=-0.6048366, Accumulated Leap Seconds=32 + { 2453580.50, 64.788849 }, //29 July 2005, UT1-UTC=-0.6048490, Accumulated Leap Seconds=32 + { 2453581.50, 64.788656 }, //30 July 2005, UT1-UTC=-0.6046557, Accumulated Leap Seconds=32 + { 2453582.50, 64.788209 }, //31 July 2005, UT1-UTC=-0.6042090, Accumulated Leap Seconds=32 + { 2453583.50, 64.787642 }, //01 August 2005, UT1-UTC=-0.6036424, Accumulated Leap Seconds=32 + { 2453584.50, 64.787022 }, //02 August 2005, UT1-UTC=-0.6030216, Accumulated Leap Seconds=32 + { 2453585.50, 64.786371 }, //03 August 2005, UT1-UTC=-0.6023707, Accumulated Leap Seconds=32 + { 2453586.50, 64.785762 }, //04 August 2005, UT1-UTC=-0.6017619, Accumulated Leap Seconds=32 + { 2453587.50, 64.785252 }, //05 August 2005, UT1-UTC=-0.6012517, Accumulated Leap Seconds=32 + { 2453588.50, 64.784955 }, //06 August 2005, UT1-UTC=-0.6009546, Accumulated Leap Seconds=32 + { 2453589.50, 64.784889 }, //07 August 2005, UT1-UTC=-0.6008886, Accumulated Leap Seconds=32 + { 2453590.50, 64.785060 }, //08 August 2005, UT1-UTC=-0.6010604, Accumulated Leap Seconds=32 + { 2453591.50, 64.785390 }, //09 August 2005, UT1-UTC=-0.6013898, Accumulated Leap Seconds=32 + { 2453592.50, 64.785837 }, //10 August 2005, UT1-UTC=-0.6018369, Accumulated Leap Seconds=32 + { 2453593.50, 64.786254 }, //11 August 2005, UT1-UTC=-0.6022535, Accumulated Leap Seconds=32 + { 2453594.50, 64.786552 }, //12 August 2005, UT1-UTC=-0.6025523, Accumulated Leap Seconds=32 + { 2453595.50, 64.786666 }, //13 August 2005, UT1-UTC=-0.6026659, Accumulated Leap Seconds=32 + { 2453596.50, 64.786577 }, //14 August 2005, UT1-UTC=-0.6025770, Accumulated Leap Seconds=32 + { 2453597.50, 64.786222 }, //15 August 2005, UT1-UTC=-0.6022223, Accumulated Leap Seconds=32 + { 2453598.50, 64.785756 }, //16 August 2005, UT1-UTC=-0.6017561, Accumulated Leap Seconds=32 + { 2453599.50, 64.785347 }, //17 August 2005, UT1-UTC=-0.6013473, Accumulated Leap Seconds=32 + { 2453600.50, 64.784991 }, //18 August 2005, UT1-UTC=-0.6009906, Accumulated Leap Seconds=32 + { 2453601.50, 64.784890 }, //19 August 2005, UT1-UTC=-0.6008900, Accumulated Leap Seconds=32 + { 2453602.50, 64.785130 }, //20 August 2005, UT1-UTC=-0.6011302, Accumulated Leap Seconds=32 + { 2453603.50, 64.785703 }, //21 August 2005, UT1-UTC=-0.6017028, Accumulated Leap Seconds=32 + { 2453604.50, 64.786445 }, //22 August 2005, UT1-UTC=-0.6024450, Accumulated Leap Seconds=32 + { 2453605.50, 64.787083 }, //23 August 2005, UT1-UTC=-0.6030829, Accumulated Leap Seconds=32 + { 2453606.50, 64.787499 }, //24 August 2005, UT1-UTC=-0.6034994, Accumulated Leap Seconds=32 + { 2453607.50, 64.787652 }, //25 August 2005, UT1-UTC=-0.6036519, Accumulated Leap Seconds=32 + { 2453608.50, 64.787529 }, //26 August 2005, UT1-UTC=-0.6035295, Accumulated Leap Seconds=32 + { 2453609.50, 64.787067 }, //27 August 2005, UT1-UTC=-0.6030669, Accumulated Leap Seconds=32 + { 2453610.50, 64.786405 }, //28 August 2005, UT1-UTC=-0.6024048, Accumulated Leap Seconds=32 + { 2453611.50, 64.785562 }, //29 August 2005, UT1-UTC=-0.6015615, Accumulated Leap Seconds=32 + { 2453612.50, 64.784649 }, //30 August 2005, UT1-UTC=-0.6006488, Accumulated Leap Seconds=32 + { 2453613.50, 64.783794 }, //31 August 2005, UT1-UTC=-0.5997937, Accumulated Leap Seconds=32 + { 2453614.50, 64.783095 }, //01 September 2005, UT1-UTC=-0.5990950, Accumulated Leap Seconds=32 + { 2453615.50, 64.782644 }, //02 September 2005, UT1-UTC=-0.5986444, Accumulated Leap Seconds=32 + { 2453616.50, 64.782494 }, //03 September 2005, UT1-UTC=-0.5984938, Accumulated Leap Seconds=32 + { 2453617.50, 64.782609 }, //04 September 2005, UT1-UTC=-0.5986091, Accumulated Leap Seconds=32 + { 2453618.50, 64.782849 }, //05 September 2005, UT1-UTC=-0.5988493, Accumulated Leap Seconds=32 + { 2453619.50, 64.783217 }, //06 September 2005, UT1-UTC=-0.5992174, Accumulated Leap Seconds=32 + { 2453620.50, 64.783661 }, //07 September 2005, UT1-UTC=-0.5996615, Accumulated Leap Seconds=32 + { 2453621.50, 64.784131 }, //08 September 2005, UT1-UTC=-0.6001311, Accumulated Leap Seconds=32 + { 2453622.50, 64.784514 }, //09 September 2005, UT1-UTC=-0.6005137, Accumulated Leap Seconds=32 + { 2453623.50, 64.784724 }, //10 September 2005, UT1-UTC=-0.6007243, Accumulated Leap Seconds=32 + { 2453624.50, 64.784739 }, //11 September 2005, UT1-UTC=-0.6007394, Accumulated Leap Seconds=32 + { 2453625.50, 64.784569 }, //12 September 2005, UT1-UTC=-0.6005686, Accumulated Leap Seconds=32 + { 2453626.50, 64.784392 }, //13 September 2005, UT1-UTC=-0.6003922, Accumulated Leap Seconds=32 + { 2453627.50, 64.784374 }, //14 September 2005, UT1-UTC=-0.6003735, Accumulated Leap Seconds=32 + { 2453628.50, 64.784592 }, //15 September 2005, UT1-UTC=-0.6005921, Accumulated Leap Seconds=32 + { 2453629.50, 64.785141 }, //16 September 2005, UT1-UTC=-0.6011414, Accumulated Leap Seconds=32 + { 2453630.50, 64.786067 }, //17 September 2005, UT1-UTC=-0.6020670, Accumulated Leap Seconds=32 + { 2453631.50, 64.787275 }, //18 September 2005, UT1-UTC=-0.6032750, Accumulated Leap Seconds=32 + { 2453632.50, 64.788569 }, //19 September 2005, UT1-UTC=-0.6045695, Accumulated Leap Seconds=32 + { 2453633.50, 64.789783 }, //20 September 2005, UT1-UTC=-0.6057829, Accumulated Leap Seconds=32 + { 2453634.50, 64.790745 }, //21 September 2005, UT1-UTC=-0.6067447, Accumulated Leap Seconds=32 + { 2453635.50, 64.791391 }, //22 September 2005, UT1-UTC=-0.6073910, Accumulated Leap Seconds=32 + { 2453636.50, 64.791720 }, //23 September 2005, UT1-UTC=-0.6077203, Accumulated Leap Seconds=32 + { 2453637.50, 64.791771 }, //24 September 2005, UT1-UTC=-0.6077713, Accumulated Leap Seconds=32 + { 2453638.50, 64.791655 }, //25 September 2005, UT1-UTC=-0.6076554, Accumulated Leap Seconds=32 + { 2453639.50, 64.791462 }, //26 September 2005, UT1-UTC=-0.6074621, Accumulated Leap Seconds=32 + { 2453640.50, 64.791313 }, //27 September 2005, UT1-UTC=-0.6073125, Accumulated Leap Seconds=32 + { 2453641.50, 64.791221 }, //28 September 2005, UT1-UTC=-0.6072208, Accumulated Leap Seconds=32 + { 2453642.50, 64.791303 }, //29 September 2005, UT1-UTC=-0.6073035, Accumulated Leap Seconds=32 + { 2453643.50, 64.791604 }, //30 September 2005, UT1-UTC=-0.6076038, Accumulated Leap Seconds=32 + { 2453644.50, 64.792060 }, //01 October 2005, UT1-UTC=-0.6080604, Accumulated Leap Seconds=32 + { 2453645.50, 64.792723 }, //02 October 2005, UT1-UTC=-0.6087229, Accumulated Leap Seconds=32 + { 2453646.50, 64.793474 }, //03 October 2005, UT1-UTC=-0.6094741, Accumulated Leap Seconds=32 + { 2453647.50, 64.794217 }, //04 October 2005, UT1-UTC=-0.6102174, Accumulated Leap Seconds=32 + { 2453648.50, 64.794865 }, //05 October 2005, UT1-UTC=-0.6108649, Accumulated Leap Seconds=32 + { 2453649.50, 64.795353 }, //06 October 2005, UT1-UTC=-0.6113533, Accumulated Leap Seconds=32 + { 2453650.50, 64.795696 }, //07 October 2005, UT1-UTC=-0.6116964, Accumulated Leap Seconds=32 + { 2453651.50, 64.795937 }, //08 October 2005, UT1-UTC=-0.6119373, Accumulated Leap Seconds=32 + { 2453652.50, 64.796022 }, //09 October 2005, UT1-UTC=-0.6120218, Accumulated Leap Seconds=32 + { 2453653.50, 64.796021 }, //10 October 2005, UT1-UTC=-0.6120214, Accumulated Leap Seconds=32 + { 2453654.50, 64.796055 }, //11 October 2005, UT1-UTC=-0.6120554, Accumulated Leap Seconds=32 + { 2453655.50, 64.796224 }, //12 October 2005, UT1-UTC=-0.6122245, Accumulated Leap Seconds=32 + { 2453656.50, 64.796641 }, //13 October 2005, UT1-UTC=-0.6126408, Accumulated Leap Seconds=32 + { 2453657.50, 64.797355 }, //14 October 2005, UT1-UTC=-0.6133548, Accumulated Leap Seconds=32 + { 2453658.50, 64.798384 }, //15 October 2005, UT1-UTC=-0.6143842, Accumulated Leap Seconds=32 + { 2453659.50, 64.799552 }, //16 October 2005, UT1-UTC=-0.6155524, Accumulated Leap Seconds=32 + { 2453660.50, 64.800706 }, //17 October 2005, UT1-UTC=-0.6167060, Accumulated Leap Seconds=32 + { 2453661.50, 64.801741 }, //18 October 2005, UT1-UTC=-0.6177406, Accumulated Leap Seconds=32 + { 2453662.50, 64.802575 }, //19 October 2005, UT1-UTC=-0.6185748, Accumulated Leap Seconds=32 + { 2453663.50, 64.803158 }, //20 October 2005, UT1-UTC=-0.6191583, Accumulated Leap Seconds=32 + { 2453664.50, 64.803512 }, //21 October 2005, UT1-UTC=-0.6195121, Accumulated Leap Seconds=32 + { 2453665.50, 64.803722 }, //22 October 2005, UT1-UTC=-0.6197224, Accumulated Leap Seconds=32 + { 2453666.50, 64.803867 }, //23 October 2005, UT1-UTC=-0.6198675, Accumulated Leap Seconds=32 + { 2453667.50, 64.804004 }, //24 October 2005, UT1-UTC=-0.6200037, Accumulated Leap Seconds=32 + { 2453668.50, 64.804236 }, //25 October 2005, UT1-UTC=-0.6202363, Accumulated Leap Seconds=32 + { 2453669.50, 64.804540 }, //26 October 2005, UT1-UTC=-0.6205397, Accumulated Leap Seconds=32 + { 2453670.50, 64.804978 }, //27 October 2005, UT1-UTC=-0.6209777, Accumulated Leap Seconds=32 + { 2453671.50, 64.805643 }, //28 October 2005, UT1-UTC=-0.6216430, Accumulated Leap Seconds=32 + { 2453672.50, 64.806469 }, //29 October 2005, UT1-UTC=-0.6224689, Accumulated Leap Seconds=32 + { 2453673.50, 64.807486 }, //30 October 2005, UT1-UTC=-0.6234856, Accumulated Leap Seconds=32 + { 2453674.50, 64.808580 }, //31 October 2005, UT1-UTC=-0.6245799, Accumulated Leap Seconds=32 + { 2453675.50, 64.809642 }, //01 November 2005, UT1-UTC=-0.6256421, Accumulated Leap Seconds=32 + { 2453676.50, 64.810568 }, //02 November 2005, UT1-UTC=-0.6265680, Accumulated Leap Seconds=32 + { 2453677.50, 64.811302 }, //03 November 2005, UT1-UTC=-0.6273016, Accumulated Leap Seconds=32 + { 2453678.50, 64.811833 }, //04 November 2005, UT1-UTC=-0.6278328, Accumulated Leap Seconds=32 + { 2453679.50, 64.812082 }, //05 November 2005, UT1-UTC=-0.6280822, Accumulated Leap Seconds=32 + { 2453680.50, 64.812252 }, //06 November 2005, UT1-UTC=-0.6282523, Accumulated Leap Seconds=32 + { 2453681.50, 64.812408 }, //07 November 2005, UT1-UTC=-0.6284076, Accumulated Leap Seconds=32 + { 2453682.50, 64.812730 }, //08 November 2005, UT1-UTC=-0.6287301, Accumulated Leap Seconds=32 + { 2453683.50, 64.813315 }, //09 November 2005, UT1-UTC=-0.6293147, Accumulated Leap Seconds=32 + { 2453684.50, 64.814293 }, //10 November 2005, UT1-UTC=-0.6302931, Accumulated Leap Seconds=32 + { 2453685.50, 64.815549 }, //11 November 2005, UT1-UTC=-0.6315489, Accumulated Leap Seconds=32 + { 2453686.50, 64.816994 }, //12 November 2005, UT1-UTC=-0.6329940, Accumulated Leap Seconds=32 + { 2453687.50, 64.818452 }, //13 November 2005, UT1-UTC=-0.6344525, Accumulated Leap Seconds=32 + { 2453688.50, 64.819795 }, //14 November 2005, UT1-UTC=-0.6357953, Accumulated Leap Seconds=32 + { 2453689.50, 64.820902 }, //15 November 2005, UT1-UTC=-0.6369022, Accumulated Leap Seconds=32 + { 2453690.50, 64.821707 }, //16 November 2005, UT1-UTC=-0.6377074, Accumulated Leap Seconds=32 + { 2453691.50, 64.822262 }, //17 November 2005, UT1-UTC=-0.6382619, Accumulated Leap Seconds=32 + { 2453692.50, 64.822601 }, //18 November 2005, UT1-UTC=-0.6386010, Accumulated Leap Seconds=32 + { 2453693.50, 64.822765 }, //19 November 2005, UT1-UTC=-0.6387653, Accumulated Leap Seconds=32 + { 2453694.50, 64.823000 }, //20 November 2005, UT1-UTC=-0.6390005, Accumulated Leap Seconds=32 + { 2453695.50, 64.823332 }, //21 November 2005, UT1-UTC=-0.6393319, Accumulated Leap Seconds=32 + { 2453696.50, 64.823805 }, //22 November 2005, UT1-UTC=-0.6398046, Accumulated Leap Seconds=32 + { 2453697.50, 64.824405 }, //23 November 2005, UT1-UTC=-0.6404055, Accumulated Leap Seconds=32 + { 2453698.50, 64.825146 }, //24 November 2005, UT1-UTC=-0.6411462, Accumulated Leap Seconds=32 + { 2453699.50, 64.826022 }, //25 November 2005, UT1-UTC=-0.6420224, Accumulated Leap Seconds=32 + { 2453700.50, 64.827012 }, //26 November 2005, UT1-UTC=-0.6430118, Accumulated Leap Seconds=32 + { 2453701.50, 64.828062 }, //27 November 2005, UT1-UTC=-0.6440616, Accumulated Leap Seconds=32 + { 2453702.50, 64.829074 }, //28 November 2005, UT1-UTC=-0.6450739, Accumulated Leap Seconds=32 + { 2453703.50, 64.829954 }, //29 November 2005, UT1-UTC=-0.6459536, Accumulated Leap Seconds=32 + { 2453704.50, 64.830628 }, //30 November 2005, UT1-UTC=-0.6466279, Accumulated Leap Seconds=32 + { 2453705.50, 64.831089 }, //01 December 2005, UT1-UTC=-0.6470888, Accumulated Leap Seconds=32 + { 2453706.50, 64.831353 }, //02 December 2005, UT1-UTC=-0.6473535, Accumulated Leap Seconds=32 + { 2453707.50, 64.831493 }, //03 December 2005, UT1-UTC=-0.6474934, Accumulated Leap Seconds=32 + { 2453708.50, 64.831623 }, //04 December 2005, UT1-UTC=-0.6476229, Accumulated Leap Seconds=32 + { 2453709.50, 64.831739 }, //05 December 2005, UT1-UTC=-0.6477390, Accumulated Leap Seconds=32 + { 2453710.50, 64.832003 }, //06 December 2005, UT1-UTC=-0.6480033, Accumulated Leap Seconds=32 + { 2453711.50, 64.832565 }, //07 December 2005, UT1-UTC=-0.6485652, Accumulated Leap Seconds=32 + { 2453712.50, 64.833323 }, //08 December 2005, UT1-UTC=-0.6493234, Accumulated Leap Seconds=32 + { 2453713.50, 64.834265 }, //09 December 2005, UT1-UTC=-0.6502652, Accumulated Leap Seconds=32 + { 2453714.50, 64.835242 }, //10 December 2005, UT1-UTC=-0.6512420, Accumulated Leap Seconds=32 + { 2453715.50, 64.836128 }, //11 December 2005, UT1-UTC=-0.6521276, Accumulated Leap Seconds=32 + { 2453716.50, 64.836883 }, //12 December 2005, UT1-UTC=-0.6528826, Accumulated Leap Seconds=32 + { 2453717.50, 64.837456 }, //13 December 2005, UT1-UTC=-0.6534555, Accumulated Leap Seconds=32 + { 2453718.50, 64.837806 }, //14 December 2005, UT1-UTC=-0.6538055, Accumulated Leap Seconds=32 + { 2453719.50, 64.837936 }, //15 December 2005, UT1-UTC=-0.6539359, Accumulated Leap Seconds=32 + { 2453720.50, 64.838000 }, //16 December 2005, UT1-UTC=-0.6540002, Accumulated Leap Seconds=32 + { 2453721.50, 64.838038 }, //17 December 2005, UT1-UTC=-0.6540381, Accumulated Leap Seconds=32 + { 2453722.50, 64.838123 }, //18 December 2005, UT1-UTC=-0.6541231, Accumulated Leap Seconds=32 + { 2453723.50, 64.838315 }, //19 December 2005, UT1-UTC=-0.6543147, Accumulated Leap Seconds=32 + { 2453724.50, 64.838658 }, //20 December 2005, UT1-UTC=-0.6546584, Accumulated Leap Seconds=32 + { 2453725.50, 64.839228 }, //21 December 2005, UT1-UTC=-0.6552283, Accumulated Leap Seconds=32 + { 2453726.50, 64.839963 }, //22 December 2005, UT1-UTC=-0.6559628, Accumulated Leap Seconds=32 + { 2453727.50, 64.840824 }, //23 December 2005, UT1-UTC=-0.6568244, Accumulated Leap Seconds=32 + { 2453728.50, 64.841759 }, //24 December 2005, UT1-UTC=-0.6577590, Accumulated Leap Seconds=32 + { 2453729.50, 64.842683 }, //25 December 2005, UT1-UTC=-0.6586830, Accumulated Leap Seconds=32 + { 2453730.50, 64.843547 }, //26 December 2005, UT1-UTC=-0.6595466, Accumulated Leap Seconds=32 + { 2453731.50, 64.844277 }, //27 December 2005, UT1-UTC=-0.6602768, Accumulated Leap Seconds=32 + { 2453732.50, 64.844783 }, //28 December 2005, UT1-UTC=-0.6607828, Accumulated Leap Seconds=32 + { 2453733.50, 64.845094 }, //29 December 2005, UT1-UTC=-0.6610944, Accumulated Leap Seconds=32 + { 2453734.50, 64.845140 }, //30 December 2005, UT1-UTC=-0.6611399, Accumulated Leap Seconds=32 + { 2453735.50, 64.845124 }, //31 December 2005, UT1-UTC=-0.6611236, Accumulated Leap Seconds=32 + { 2453736.50, 64.845183 }, //01 January 2006, UT1-UTC= 0.3388174, Accumulated Leap Seconds=33 + { 2453737.50, 64.845415 }, //02 January 2006, UT1-UTC= 0.3385849, Accumulated Leap Seconds=33 + { 2453738.50, 64.845892 }, //03 January 2006, UT1-UTC= 0.3381081, Accumulated Leap Seconds=33 + { 2453739.50, 64.846590 }, //04 January 2006, UT1-UTC= 0.3374102, Accumulated Leap Seconds=33 + { 2453740.50, 64.847457 }, //05 January 2006, UT1-UTC= 0.3365429, Accumulated Leap Seconds=33 + { 2453741.50, 64.848413 }, //06 January 2006, UT1-UTC= 0.3355865, Accumulated Leap Seconds=33 + { 2453742.50, 64.849321 }, //07 January 2006, UT1-UTC= 0.3346786, Accumulated Leap Seconds=33 + { 2453743.50, 64.850043 }, //08 January 2006, UT1-UTC= 0.3339572, Accumulated Leap Seconds=33 + { 2453744.50, 64.850506 }, //09 January 2006, UT1-UTC= 0.3334938, Accumulated Leap Seconds=33 + { 2453745.50, 64.850709 }, //10 January 2006, UT1-UTC= 0.3332906, Accumulated Leap Seconds=33 + { 2453746.50, 64.850692 }, //11 January 2006, UT1-UTC= 0.3333082, Accumulated Leap Seconds=33 + { 2453747.50, 64.850500 }, //12 January 2006, UT1-UTC= 0.3334999, Accumulated Leap Seconds=33 + { 2453748.50, 64.850227 }, //13 January 2006, UT1-UTC= 0.3337734, Accumulated Leap Seconds=33 + { 2453749.50, 64.850000 }, //14 January 2006, UT1-UTC= 0.3339995, Accumulated Leap Seconds=33 + { 2453750.50, 64.849911 }, //15 January 2006, UT1-UTC= 0.3340894, Accumulated Leap Seconds=33 + { 2453751.50, 64.849924 }, //16 January 2006, UT1-UTC= 0.3340758, Accumulated Leap Seconds=33 + { 2453752.50, 64.850056 }, //17 January 2006, UT1-UTC= 0.3339443, Accumulated Leap Seconds=33 + { 2453753.50, 64.850354 }, //18 January 2006, UT1-UTC= 0.3336460, Accumulated Leap Seconds=33 + { 2453754.50, 64.850867 }, //19 January 2006, UT1-UTC= 0.3331328, Accumulated Leap Seconds=33 + { 2453755.50, 64.851455 }, //20 January 2006, UT1-UTC= 0.3325448, Accumulated Leap Seconds=33 + { 2453756.50, 64.852118 }, //21 January 2006, UT1-UTC= 0.3318820, Accumulated Leap Seconds=33 + { 2453757.50, 64.852809 }, //22 January 2006, UT1-UTC= 0.3311906, Accumulated Leap Seconds=33 + { 2453758.50, 64.853459 }, //23 January 2006, UT1-UTC= 0.3305408, Accumulated Leap Seconds=33 + { 2453759.50, 64.854010 }, //24 January 2006, UT1-UTC= 0.3299901, Accumulated Leap Seconds=33 + { 2453760.50, 64.854483 }, //25 January 2006, UT1-UTC= 0.3295166, Accumulated Leap Seconds=33 + { 2453761.50, 64.854880 }, //26 January 2006, UT1-UTC= 0.3291204, Accumulated Leap Seconds=33 + { 2453762.50, 64.855275 }, //27 January 2006, UT1-UTC= 0.3287245, Accumulated Leap Seconds=33 + { 2453763.50, 64.855726 }, //28 January 2006, UT1-UTC= 0.3282743, Accumulated Leap Seconds=33 + { 2453764.50, 64.856304 }, //29 January 2006, UT1-UTC= 0.3276956, Accumulated Leap Seconds=33 + { 2453765.50, 64.857135 }, //30 January 2006, UT1-UTC= 0.3268650, Accumulated Leap Seconds=33 + { 2453766.50, 64.858271 }, //31 January 2006, UT1-UTC= 0.3257288, Accumulated Leap Seconds=33 + { 2453767.50, 64.859701 }, //01 February 2006, UT1-UTC= 0.3242987, Accumulated Leap Seconds=33 + { 2453768.50, 64.861274 }, //02 February 2006, UT1-UTC= 0.3227261, Accumulated Leap Seconds=33 + { 2453769.50, 64.862818 }, //03 February 2006, UT1-UTC= 0.3211822, Accumulated Leap Seconds=33 + { 2453770.50, 64.864243 }, //04 February 2006, UT1-UTC= 0.3197569, Accumulated Leap Seconds=33 + { 2453771.50, 64.865372 }, //05 February 2006, UT1-UTC= 0.3186277, Accumulated Leap Seconds=33 + { 2453772.50, 64.866212 }, //06 February 2006, UT1-UTC= 0.3177880, Accumulated Leap Seconds=33 + { 2453773.50, 64.866783 }, //07 February 2006, UT1-UTC= 0.3172169, Accumulated Leap Seconds=33 + { 2453774.50, 64.867181 }, //08 February 2006, UT1-UTC= 0.3168191, Accumulated Leap Seconds=33 + { 2453775.50, 64.867532 }, //09 February 2006, UT1-UTC= 0.3164682, Accumulated Leap Seconds=33 + { 2453776.50, 64.867922 }, //10 February 2006, UT1-UTC= 0.3160777, Accumulated Leap Seconds=33 + { 2453777.50, 64.868398 }, //11 February 2006, UT1-UTC= 0.3156025, Accumulated Leap Seconds=33 + { 2453778.50, 64.869005 }, //12 February 2006, UT1-UTC= 0.3149950, Accumulated Leap Seconds=33 + { 2453779.50, 64.869778 }, //13 February 2006, UT1-UTC= 0.3142223, Accumulated Leap Seconds=33 + { 2453780.50, 64.870660 }, //14 February 2006, UT1-UTC= 0.3133398, Accumulated Leap Seconds=33 + { 2453781.50, 64.871624 }, //15 February 2006, UT1-UTC= 0.3123764, Accumulated Leap Seconds=33 + { 2453782.50, 64.872648 }, //16 February 2006, UT1-UTC= 0.3113515, Accumulated Leap Seconds=33 + { 2453783.50, 64.873738 }, //17 February 2006, UT1-UTC= 0.3102624, Accumulated Leap Seconds=33 + { 2453784.50, 64.874854 }, //18 February 2006, UT1-UTC= 0.3091458, Accumulated Leap Seconds=33 + { 2453785.50, 64.875911 }, //19 February 2006, UT1-UTC= 0.3080886, Accumulated Leap Seconds=33 + { 2453786.50, 64.876866 }, //20 February 2006, UT1-UTC= 0.3071335, Accumulated Leap Seconds=33 + { 2453787.50, 64.877627 }, //21 February 2006, UT1-UTC= 0.3063731, Accumulated Leap Seconds=33 + { 2453788.50, 64.878173 }, //22 February 2006, UT1-UTC= 0.3058274, Accumulated Leap Seconds=33 + { 2453789.50, 64.878576 }, //23 February 2006, UT1-UTC= 0.3054235, Accumulated Leap Seconds=33 + { 2453790.50, 64.878950 }, //24 February 2006, UT1-UTC= 0.3050502, Accumulated Leap Seconds=33 + { 2453791.50, 64.879486 }, //25 February 2006, UT1-UTC= 0.3045144, Accumulated Leap Seconds=33 + { 2453792.50, 64.880295 }, //26 February 2006, UT1-UTC= 0.3037047, Accumulated Leap Seconds=33 + { 2453793.50, 64.881507 }, //27 February 2006, UT1-UTC= 0.3024929, Accumulated Leap Seconds=33 + { 2453794.50, 64.883106 }, //28 February 2006, UT1-UTC= 0.3008944, Accumulated Leap Seconds=33 + { 2453795.50, 64.884993 }, //01 March 2006, UT1-UTC= 0.2990071, Accumulated Leap Seconds=33 + { 2453796.50, 64.886990 }, //02 March 2006, UT1-UTC= 0.2970097, Accumulated Leap Seconds=33 + { 2453797.50, 64.888814 }, //03 March 2006, UT1-UTC= 0.2951858, Accumulated Leap Seconds=33 + { 2453798.50, 64.890398 }, //04 March 2006, UT1-UTC= 0.2936023, Accumulated Leap Seconds=33 + { 2453799.50, 64.891669 }, //05 March 2006, UT1-UTC= 0.2923314, Accumulated Leap Seconds=33 + { 2453800.50, 64.892591 }, //06 March 2006, UT1-UTC= 0.2914088, Accumulated Leap Seconds=33 + { 2453801.50, 64.893236 }, //07 March 2006, UT1-UTC= 0.2907642, Accumulated Leap Seconds=33 + { 2453802.50, 64.893697 }, //08 March 2006, UT1-UTC= 0.2903027, Accumulated Leap Seconds=33 + { 2453803.50, 64.894076 }, //09 March 2006, UT1-UTC= 0.2899238, Accumulated Leap Seconds=33 + { 2453804.50, 64.894431 }, //10 March 2006, UT1-UTC= 0.2895687, Accumulated Leap Seconds=33 + { 2453805.50, 64.894825 }, //11 March 2006, UT1-UTC= 0.2891746, Accumulated Leap Seconds=33 + { 2453806.50, 64.895327 }, //12 March 2006, UT1-UTC= 0.2886732, Accumulated Leap Seconds=33 + { 2453807.50, 64.896020 }, //13 March 2006, UT1-UTC= 0.2879796, Accumulated Leap Seconds=33 + { 2453808.50, 64.896881 }, //14 March 2006, UT1-UTC= 0.2871185, Accumulated Leap Seconds=33 + { 2453809.50, 64.897886 }, //15 March 2006, UT1-UTC= 0.2861136, Accumulated Leap Seconds=33 + { 2453810.50, 64.898939 }, //16 March 2006, UT1-UTC= 0.2850614, Accumulated Leap Seconds=33 + { 2453811.50, 64.899963 }, //17 March 2006, UT1-UTC= 0.2840371, Accumulated Leap Seconds=33 + { 2453812.50, 64.900898 }, //18 March 2006, UT1-UTC= 0.2831017, Accumulated Leap Seconds=33 + { 2453813.50, 64.901781 }, //19 March 2006, UT1-UTC= 0.2822194, Accumulated Leap Seconds=33 + { 2453814.50, 64.902530 }, //20 March 2006, UT1-UTC= 0.2814702, Accumulated Leap Seconds=33 + { 2453815.50, 64.903115 }, //21 March 2006, UT1-UTC= 0.2808846, Accumulated Leap Seconds=33 + { 2453816.50, 64.903606 }, //22 March 2006, UT1-UTC= 0.2803937, Accumulated Leap Seconds=33 + { 2453817.50, 64.904103 }, //23 March 2006, UT1-UTC= 0.2798968, Accumulated Leap Seconds=33 + { 2453818.50, 64.904675 }, //24 March 2006, UT1-UTC= 0.2793249, Accumulated Leap Seconds=33 + { 2453819.50, 64.905480 }, //25 March 2006, UT1-UTC= 0.2785200, Accumulated Leap Seconds=33 + { 2453820.50, 64.906663 }, //26 March 2006, UT1-UTC= 0.2773367, Accumulated Leap Seconds=33 + { 2453821.50, 64.908206 }, //27 March 2006, UT1-UTC= 0.2757941, Accumulated Leap Seconds=33 + { 2453822.50, 64.910035 }, //28 March 2006, UT1-UTC= 0.2739651, Accumulated Leap Seconds=33 + { 2453823.50, 64.912083 }, //29 March 2006, UT1-UTC= 0.2719172, Accumulated Leap Seconds=33 + { 2453824.50, 64.914138 }, //30 March 2006, UT1-UTC= 0.2698617, Accumulated Leap Seconds=33 + { 2453825.50, 64.915982 }, //31 March 2006, UT1-UTC= 0.2680182, Accumulated Leap Seconds=33 + { 2453826.50, 64.917499 }, //01 April 2006, UT1-UTC= 0.2665009, Accumulated Leap Seconds=33 + { 2453827.50, 64.918628 }, //02 April 2006, UT1-UTC= 0.2653722, Accumulated Leap Seconds=33 + { 2453828.50, 64.919446 }, //03 April 2006, UT1-UTC= 0.2645537, Accumulated Leap Seconds=33 + { 2453829.50, 64.920041 }, //04 April 2006, UT1-UTC= 0.2639591, Accumulated Leap Seconds=33 + { 2453830.50, 64.920591 }, //05 April 2006, UT1-UTC= 0.2634089, Accumulated Leap Seconds=33 + { 2453831.50, 64.921158 }, //06 April 2006, UT1-UTC= 0.2628423, Accumulated Leap Seconds=33 + { 2453832.50, 64.921806 }, //07 April 2006, UT1-UTC= 0.2621936, Accumulated Leap Seconds=33 + { 2453833.50, 64.922579 }, //08 April 2006, UT1-UTC= 0.2614213, Accumulated Leap Seconds=33 + { 2453834.50, 64.923564 }, //09 April 2006, UT1-UTC= 0.2604365, Accumulated Leap Seconds=33 + { 2453835.50, 64.924742 }, //10 April 2006, UT1-UTC= 0.2592584, Accumulated Leap Seconds=33 + { 2453836.50, 64.925970 }, //11 April 2006, UT1-UTC= 0.2580300, Accumulated Leap Seconds=33 + { 2453837.50, 64.927223 }, //12 April 2006, UT1-UTC= 0.2567767, Accumulated Leap Seconds=33 + { 2453838.50, 64.928464 }, //13 April 2006, UT1-UTC= 0.2555359, Accumulated Leap Seconds=33 + { 2453839.50, 64.929647 }, //14 April 2006, UT1-UTC= 0.2543535, Accumulated Leap Seconds=33 + { 2453840.50, 64.930668 }, //15 April 2006, UT1-UTC= 0.2533323, Accumulated Leap Seconds=33 + { 2453841.50, 64.931490 }, //16 April 2006, UT1-UTC= 0.2525104, Accumulated Leap Seconds=33 + { 2453842.50, 64.932142 }, //17 April 2006, UT1-UTC= 0.2518580, Accumulated Leap Seconds=33 + { 2453843.50, 64.932676 }, //18 April 2006, UT1-UTC= 0.2513237, Accumulated Leap Seconds=33 + { 2453844.50, 64.933169 }, //19 April 2006, UT1-UTC= 0.2508310, Accumulated Leap Seconds=33 + { 2453845.50, 64.933694 }, //20 April 2006, UT1-UTC= 0.2503061, Accumulated Leap Seconds=33 + { 2453846.50, 64.934337 }, //21 April 2006, UT1-UTC= 0.2496625, Accumulated Leap Seconds=33 + { 2453847.50, 64.935220 }, //22 April 2006, UT1-UTC= 0.2487799, Accumulated Leap Seconds=33 + { 2453848.50, 64.936436 }, //23 April 2006, UT1-UTC= 0.2475639, Accumulated Leap Seconds=33 + { 2453849.50, 64.937982 }, //24 April 2006, UT1-UTC= 0.2460181, Accumulated Leap Seconds=33 + { 2453850.50, 64.939741 }, //25 April 2006, UT1-UTC= 0.2442587, Accumulated Leap Seconds=33 + { 2453851.50, 64.941574 }, //26 April 2006, UT1-UTC= 0.2424260, Accumulated Leap Seconds=33 + { 2453852.50, 64.943352 }, //27 April 2006, UT1-UTC= 0.2406482, Accumulated Leap Seconds=33 + { 2453853.50, 64.944957 }, //28 April 2006, UT1-UTC= 0.2390430, Accumulated Leap Seconds=33 + { 2453854.50, 64.946290 }, //29 April 2006, UT1-UTC= 0.2377098, Accumulated Leap Seconds=33 + { 2453855.50, 64.947285 }, //30 April 2006, UT1-UTC= 0.2367145, Accumulated Leap Seconds=33 + { 2453856.50, 64.948030 }, //01 May 2006, UT1-UTC= 0.2359702, Accumulated Leap Seconds=33 + { 2453857.50, 64.948728 }, //02 May 2006, UT1-UTC= 0.2352722, Accumulated Leap Seconds=33 + { 2453858.50, 64.949514 }, //03 May 2006, UT1-UTC= 0.2344862, Accumulated Leap Seconds=33 + { 2453859.50, 64.950380 }, //04 May 2006, UT1-UTC= 0.2336195, Accumulated Leap Seconds=33 + { 2453860.50, 64.951379 }, //05 May 2006, UT1-UTC= 0.2326215, Accumulated Leap Seconds=33 + { 2453861.50, 64.952498 }, //06 May 2006, UT1-UTC= 0.2315021, Accumulated Leap Seconds=33 + { 2453862.50, 64.953780 }, //07 May 2006, UT1-UTC= 0.2302197, Accumulated Leap Seconds=33 + { 2453863.50, 64.955144 }, //08 May 2006, UT1-UTC= 0.2288564, Accumulated Leap Seconds=33 + { 2453864.50, 64.956603 }, //09 May 2006, UT1-UTC= 0.2273970, Accumulated Leap Seconds=33 + { 2453865.50, 64.958113 }, //10 May 2006, UT1-UTC= 0.2258866, Accumulated Leap Seconds=33 + { 2453866.50, 64.959610 }, //11 May 2006, UT1-UTC= 0.2243900, Accumulated Leap Seconds=33 + { 2453867.50, 64.961048 }, //12 May 2006, UT1-UTC= 0.2229523, Accumulated Leap Seconds=33 + { 2453868.50, 64.962368 }, //13 May 2006, UT1-UTC= 0.2216316, Accumulated Leap Seconds=33 + { 2453869.50, 64.963507 }, //14 May 2006, UT1-UTC= 0.2204928, Accumulated Leap Seconds=33 + { 2453870.50, 64.964443 }, //15 May 2006, UT1-UTC= 0.2195575, Accumulated Leap Seconds=33 + { 2453871.50, 64.965276 }, //16 May 2006, UT1-UTC= 0.2187243, Accumulated Leap Seconds=33 + { 2453872.50, 64.966033 }, //17 May 2006, UT1-UTC= 0.2179668, Accumulated Leap Seconds=33 + { 2453873.50, 64.966791 }, //18 May 2006, UT1-UTC= 0.2172085, Accumulated Leap Seconds=33 + { 2453874.50, 64.967708 }, //19 May 2006, UT1-UTC= 0.2162920, Accumulated Leap Seconds=33 + { 2453875.50, 64.968854 }, //20 May 2006, UT1-UTC= 0.2151456, Accumulated Leap Seconds=33 + { 2453876.50, 64.970205 }, //21 May 2006, UT1-UTC= 0.2137946, Accumulated Leap Seconds=33 + { 2453877.50, 64.971709 }, //22 May 2006, UT1-UTC= 0.2122906, Accumulated Leap Seconds=33 + { 2453878.50, 64.973291 }, //23 May 2006, UT1-UTC= 0.2107089, Accumulated Leap Seconds=33 + { 2453879.50, 64.974828 }, //24 May 2006, UT1-UTC= 0.2091717, Accumulated Leap Seconds=33 + { 2453880.50, 64.976191 }, //25 May 2006, UT1-UTC= 0.2078088, Accumulated Leap Seconds=33 + { 2453881.50, 64.977311 }, //26 May 2006, UT1-UTC= 0.2066891, Accumulated Leap Seconds=33 + { 2453882.50, 64.978072 }, //27 May 2006, UT1-UTC= 0.2059276, Accumulated Leap Seconds=33 + { 2453883.50, 64.978504 }, //28 May 2006, UT1-UTC= 0.2054963, Accumulated Leap Seconds=33 + { 2453884.50, 64.978712 }, //29 May 2006, UT1-UTC= 0.2052877, Accumulated Leap Seconds=33 + { 2453885.50, 64.978862 }, //30 May 2006, UT1-UTC= 0.2051379, Accumulated Leap Seconds=33 + { 2453886.50, 64.979083 }, //31 May 2006, UT1-UTC= 0.2049170, Accumulated Leap Seconds=33 + { 2453887.50, 64.979388 }, //01 June 2006, UT1-UTC= 0.2046119, Accumulated Leap Seconds=33 + { 2453888.50, 64.979868 }, //02 June 2006, UT1-UTC= 0.2041320, Accumulated Leap Seconds=33 + { 2453889.50, 64.980503 }, //03 June 2006, UT1-UTC= 0.2034972, Accumulated Leap Seconds=33 + { 2453890.50, 64.981252 }, //04 June 2006, UT1-UTC= 0.2027478, Accumulated Leap Seconds=33 + { 2453891.50, 64.982042 }, //05 June 2006, UT1-UTC= 0.2019577, Accumulated Leap Seconds=33 + { 2453892.50, 64.982801 }, //06 June 2006, UT1-UTC= 0.2011993, Accumulated Leap Seconds=33 + { 2453893.50, 64.983513 }, //07 June 2006, UT1-UTC= 0.2004874, Accumulated Leap Seconds=33 + { 2453894.50, 64.984082 }, //08 June 2006, UT1-UTC= 0.1999179, Accumulated Leap Seconds=33 + { 2453895.50, 64.984434 }, //09 June 2006, UT1-UTC= 0.1995655, Accumulated Leap Seconds=33 + { 2453896.50, 64.984522 }, //10 June 2006, UT1-UTC= 0.1994777, Accumulated Leap Seconds=33 + { 2453897.50, 64.984365 }, //11 June 2006, UT1-UTC= 0.1996352, Accumulated Leap Seconds=33 + { 2453898.50, 64.984016 }, //12 June 2006, UT1-UTC= 0.1999840, Accumulated Leap Seconds=33 + { 2453899.50, 64.983625 }, //13 June 2006, UT1-UTC= 0.2003747, Accumulated Leap Seconds=33 + { 2453900.50, 64.983334 }, //14 June 2006, UT1-UTC= 0.2006663, Accumulated Leap Seconds=33 + { 2453901.50, 64.983226 }, //15 June 2006, UT1-UTC= 0.2007738, Accumulated Leap Seconds=33 + { 2453902.50, 64.983376 }, //16 June 2006, UT1-UTC= 0.2006238, Accumulated Leap Seconds=33 + { 2453903.50, 64.983854 }, //17 June 2006, UT1-UTC= 0.2001456, Accumulated Leap Seconds=33 + { 2453904.50, 64.984599 }, //18 June 2006, UT1-UTC= 0.1994009, Accumulated Leap Seconds=33 + { 2453905.50, 64.985456 }, //19 June 2006, UT1-UTC= 0.1985436, Accumulated Leap Seconds=33 + { 2453906.50, 64.986300 }, //20 June 2006, UT1-UTC= 0.1977000, Accumulated Leap Seconds=33 + { 2453907.50, 64.986986 }, //21 June 2006, UT1-UTC= 0.1970141, Accumulated Leap Seconds=33 + { 2453908.50, 64.987502 }, //22 June 2006, UT1-UTC= 0.1964981, Accumulated Leap Seconds=33 + { 2453909.50, 64.987783 }, //23 June 2006, UT1-UTC= 0.1962165, Accumulated Leap Seconds=33 + { 2453910.50, 64.987886 }, //24 June 2006, UT1-UTC= 0.1961139, Accumulated Leap Seconds=33 + { 2453911.50, 64.987804 }, //25 June 2006, UT1-UTC= 0.1961956, Accumulated Leap Seconds=33 + { 2453912.50, 64.987690 }, //26 June 2006, UT1-UTC= 0.1963098, Accumulated Leap Seconds=33 + { 2453913.50, 64.987682 }, //27 June 2006, UT1-UTC= 0.1963182, Accumulated Leap Seconds=33 + { 2453914.50, 64.987824 }, //28 June 2006, UT1-UTC= 0.1961762, Accumulated Leap Seconds=33 + { 2453915.50, 64.988160 }, //29 June 2006, UT1-UTC= 0.1958401, Accumulated Leap Seconds=33 + { 2453916.50, 64.988728 }, //30 June 2006, UT1-UTC= 0.1952719, Accumulated Leap Seconds=33 + { 2453917.50, 64.989477 }, //01 July 2006, UT1-UTC= 0.1945228, Accumulated Leap Seconds=33 + { 2453918.50, 64.990394 }, //02 July 2006, UT1-UTC= 0.1936064, Accumulated Leap Seconds=33 + { 2453919.50, 64.991360 }, //03 July 2006, UT1-UTC= 0.1926397, Accumulated Leap Seconds=33 + { 2453920.50, 64.992326 }, //04 July 2006, UT1-UTC= 0.1916739, Accumulated Leap Seconds=33 + { 2453921.50, 64.993274 }, //05 July 2006, UT1-UTC= 0.1907265, Accumulated Leap Seconds=33 + { 2453922.50, 64.994091 }, //06 July 2006, UT1-UTC= 0.1899089, Accumulated Leap Seconds=33 + { 2453923.50, 64.994698 }, //07 July 2006, UT1-UTC= 0.1893020, Accumulated Leap Seconds=33 + { 2453924.50, 64.995103 }, //08 July 2006, UT1-UTC= 0.1888968, Accumulated Leap Seconds=33 + { 2453925.50, 64.995236 }, //09 July 2006, UT1-UTC= 0.1887639, Accumulated Leap Seconds=33 + { 2453926.50, 64.995257 }, //10 July 2006, UT1-UTC= 0.1887432, Accumulated Leap Seconds=33 + { 2453927.50, 64.995242 }, //11 July 2006, UT1-UTC= 0.1887579, Accumulated Leap Seconds=33 + { 2453928.50, 64.995324 }, //12 July 2006, UT1-UTC= 0.1886764, Accumulated Leap Seconds=33 + { 2453929.50, 64.995593 }, //13 July 2006, UT1-UTC= 0.1884070, Accumulated Leap Seconds=33 + { 2453930.50, 64.996191 }, //14 July 2006, UT1-UTC= 0.1878092, Accumulated Leap Seconds=33 + { 2453931.50, 64.997100 }, //15 July 2006, UT1-UTC= 0.1869002, Accumulated Leap Seconds=33 + { 2453932.50, 64.998206 }, //16 July 2006, UT1-UTC= 0.1857936, Accumulated Leap Seconds=33 + { 2453933.50, 64.999287 }, //17 July 2006, UT1-UTC= 0.1847131, Accumulated Leap Seconds=33 + { 2453934.50, 65.000209 }, //18 July 2006, UT1-UTC= 0.1837911, Accumulated Leap Seconds=33 + { 2453935.50, 65.000907 }, //19 July 2006, UT1-UTC= 0.1830931, Accumulated Leap Seconds=33 + { 2453936.50, 65.001332 }, //20 July 2006, UT1-UTC= 0.1826682, Accumulated Leap Seconds=33 + { 2453937.50, 65.001486 }, //21 July 2006, UT1-UTC= 0.1825142, Accumulated Leap Seconds=33 + { 2453938.50, 65.001411 }, //22 July 2006, UT1-UTC= 0.1825888, Accumulated Leap Seconds=33 + { 2453939.50, 65.001181 }, //23 July 2006, UT1-UTC= 0.1828187, Accumulated Leap Seconds=33 + { 2453940.50, 65.000918 }, //24 July 2006, UT1-UTC= 0.1830816, Accumulated Leap Seconds=33 + { 2453941.50, 65.000762 }, //25 July 2006, UT1-UTC= 0.1832384, Accumulated Leap Seconds=33 + { 2453942.50, 65.000731 }, //26 July 2006, UT1-UTC= 0.1832688, Accumulated Leap Seconds=33 + { 2453943.50, 65.000865 }, //27 July 2006, UT1-UTC= 0.1831348, Accumulated Leap Seconds=33 + { 2453944.50, 65.001106 }, //28 July 2006, UT1-UTC= 0.1828941, Accumulated Leap Seconds=33 + { 2453945.50, 65.001454 }, //29 July 2006, UT1-UTC= 0.1825462, Accumulated Leap Seconds=33 + { 2453946.50, 65.001886 }, //30 July 2006, UT1-UTC= 0.1821139, Accumulated Leap Seconds=33 + { 2453947.50, 65.002353 }, //31 July 2006, UT1-UTC= 0.1816465, Accumulated Leap Seconds=33 + { 2453948.50, 65.002815 }, //01 August 2006, UT1-UTC= 0.1811845, Accumulated Leap Seconds=33 + { 2453949.50, 65.003206 }, //02 August 2006, UT1-UTC= 0.1807943, Accumulated Leap Seconds=33 + { 2453950.50, 65.003427 }, //03 August 2006, UT1-UTC= 0.1805732, Accumulated Leap Seconds=33 + { 2453951.50, 65.003501 }, //04 August 2006, UT1-UTC= 0.1804988, Accumulated Leap Seconds=33 + { 2453952.50, 65.003455 }, //05 August 2006, UT1-UTC= 0.1805451, Accumulated Leap Seconds=33 + { 2453953.50, 65.003294 }, //06 August 2006, UT1-UTC= 0.1807064, Accumulated Leap Seconds=33 + { 2453954.50, 65.003090 }, //07 August 2006, UT1-UTC= 0.1809102, Accumulated Leap Seconds=33 + { 2453955.50, 65.003006 }, //08 August 2006, UT1-UTC= 0.1809936, Accumulated Leap Seconds=33 + { 2453956.50, 65.003165 }, //09 August 2006, UT1-UTC= 0.1808353, Accumulated Leap Seconds=33 + { 2453957.50, 65.003668 }, //10 August 2006, UT1-UTC= 0.1803323, Accumulated Leap Seconds=33 + { 2453958.50, 65.004505 }, //11 August 2006, UT1-UTC= 0.1794948, Accumulated Leap Seconds=33 + { 2453959.50, 65.005564 }, //12 August 2006, UT1-UTC= 0.1784364, Accumulated Leap Seconds=33 + { 2453960.50, 65.006679 }, //13 August 2006, UT1-UTC= 0.1773212, Accumulated Leap Seconds=33 + { 2453961.50, 65.007642 }, //14 August 2006, UT1-UTC= 0.1763583, Accumulated Leap Seconds=33 + { 2453962.50, 65.008348 }, //15 August 2006, UT1-UTC= 0.1756524, Accumulated Leap Seconds=33 + { 2453963.50, 65.008773 }, //16 August 2006, UT1-UTC= 0.1752268, Accumulated Leap Seconds=33 + { 2453964.50, 65.008947 }, //17 August 2006, UT1-UTC= 0.1750531, Accumulated Leap Seconds=33 + { 2453965.50, 65.008907 }, //18 August 2006, UT1-UTC= 0.1750933, Accumulated Leap Seconds=33 + { 2453966.50, 65.008745 }, //19 August 2006, UT1-UTC= 0.1752551, Accumulated Leap Seconds=33 + { 2453967.50, 65.008568 }, //20 August 2006, UT1-UTC= 0.1754316, Accumulated Leap Seconds=33 + { 2453968.50, 65.008522 }, //21 August 2006, UT1-UTC= 0.1754776, Accumulated Leap Seconds=33 + { 2453969.50, 65.008661 }, //22 August 2006, UT1-UTC= 0.1753393, Accumulated Leap Seconds=33 + { 2453970.50, 65.008969 }, //23 August 2006, UT1-UTC= 0.1750308, Accumulated Leap Seconds=33 + { 2453971.50, 65.009477 }, //24 August 2006, UT1-UTC= 0.1745229, Accumulated Leap Seconds=33 + { 2453972.50, 65.010120 }, //25 August 2006, UT1-UTC= 0.1738797, Accumulated Leap Seconds=33 + { 2453973.50, 65.010832 }, //26 August 2006, UT1-UTC= 0.1731683, Accumulated Leap Seconds=33 + { 2453974.50, 65.011556 }, //27 August 2006, UT1-UTC= 0.1724444, Accumulated Leap Seconds=33 + { 2453975.50, 65.012257 }, //28 August 2006, UT1-UTC= 0.1717434, Accumulated Leap Seconds=33 + { 2453976.50, 65.012878 }, //29 August 2006, UT1-UTC= 0.1711223, Accumulated Leap Seconds=33 + { 2453977.50, 65.013380 }, //30 August 2006, UT1-UTC= 0.1706200, Accumulated Leap Seconds=33 + { 2453978.50, 65.013697 }, //31 August 2006, UT1-UTC= 0.1703026, Accumulated Leap Seconds=33 + { 2453979.50, 65.013819 }, //01 September 2006, UT1-UTC= 0.1701807, Accumulated Leap Seconds=33 + { 2453980.50, 65.013852 }, //02 September 2006, UT1-UTC= 0.1701477, Accumulated Leap Seconds=33 + { 2453981.50, 65.013851 }, //03 September 2006, UT1-UTC= 0.1701488, Accumulated Leap Seconds=33 + { 2453982.50, 65.013958 }, //04 September 2006, UT1-UTC= 0.1700416, Accumulated Leap Seconds=33 + { 2453983.50, 65.014338 }, //05 September 2006, UT1-UTC= 0.1696617, Accumulated Leap Seconds=33 + { 2453984.50, 65.015049 }, //06 September 2006, UT1-UTC= 0.1689509, Accumulated Leap Seconds=33 + { 2453985.50, 65.016127 }, //07 September 2006, UT1-UTC= 0.1678727, Accumulated Leap Seconds=33 + { 2453986.50, 65.017529 }, //08 September 2006, UT1-UTC= 0.1664709, Accumulated Leap Seconds=33 + { 2453987.50, 65.019096 }, //09 September 2006, UT1-UTC= 0.1649044, Accumulated Leap Seconds=33 + { 2453988.50, 65.020623 }, //10 September 2006, UT1-UTC= 0.1633765, Accumulated Leap Seconds=33 + { 2453989.50, 65.021938 }, //11 September 2006, UT1-UTC= 0.1620623, Accumulated Leap Seconds=33 + { 2453990.50, 65.022927 }, //12 September 2006, UT1-UTC= 0.1610725, Accumulated Leap Seconds=33 + { 2453991.50, 65.023631 }, //13 September 2006, UT1-UTC= 0.1603686, Accumulated Leap Seconds=33 + { 2453992.50, 65.024170 }, //14 September 2006, UT1-UTC= 0.1598297, Accumulated Leap Seconds=33 + { 2453993.50, 65.024519 }, //15 September 2006, UT1-UTC= 0.1594810, Accumulated Leap Seconds=33 + { 2453994.50, 65.024821 }, //16 September 2006, UT1-UTC= 0.1591795, Accumulated Leap Seconds=33 + { 2453995.50, 65.025156 }, //17 September 2006, UT1-UTC= 0.1588435, Accumulated Leap Seconds=33 + { 2453996.50, 65.025616 }, //18 September 2006, UT1-UTC= 0.1583836, Accumulated Leap Seconds=33 + { 2453997.50, 65.026271 }, //19 September 2006, UT1-UTC= 0.1577286, Accumulated Leap Seconds=33 + { 2453998.50, 65.027118 }, //20 September 2006, UT1-UTC= 0.1568821, Accumulated Leap Seconds=33 + { 2453999.50, 65.028104 }, //21 September 2006, UT1-UTC= 0.1558963, Accumulated Leap Seconds=33 + { 2454000.50, 65.029229 }, //22 September 2006, UT1-UTC= 0.1547711, Accumulated Leap Seconds=33 + { 2454001.50, 65.030418 }, //23 September 2006, UT1-UTC= 0.1535816, Accumulated Leap Seconds=33 + { 2454002.50, 65.031560 }, //24 September 2006, UT1-UTC= 0.1524397, Accumulated Leap Seconds=33 + { 2454003.50, 65.032634 }, //25 September 2006, UT1-UTC= 0.1513663, Accumulated Leap Seconds=33 + { 2454004.50, 65.033601 }, //26 September 2006, UT1-UTC= 0.1503988, Accumulated Leap Seconds=33 + { 2454005.50, 65.034447 }, //27 September 2006, UT1-UTC= 0.1495535, Accumulated Leap Seconds=33 + { 2454006.50, 65.035167 }, //28 September 2006, UT1-UTC= 0.1488330, Accumulated Leap Seconds=33 + { 2454007.50, 65.035777 }, //29 September 2006, UT1-UTC= 0.1482233, Accumulated Leap Seconds=33 + { 2454008.50, 65.036410 }, //30 September 2006, UT1-UTC= 0.1475897, Accumulated Leap Seconds=33 + { 2454009.50, 65.037143 }, //01 October 2006, UT1-UTC= 0.1468568, Accumulated Leap Seconds=33 + { 2454010.50, 65.037999 }, //02 October 2006, UT1-UTC= 0.1460013, Accumulated Leap Seconds=33 + { 2454011.50, 65.039116 }, //03 October 2006, UT1-UTC= 0.1448836, Accumulated Leap Seconds=33 + { 2454012.50, 65.040591 }, //04 October 2006, UT1-UTC= 0.1434088, Accumulated Leap Seconds=33 + { 2454013.50, 65.042413 }, //05 October 2006, UT1-UTC= 0.1415869, Accumulated Leap Seconds=33 + { 2454014.50, 65.044551 }, //06 October 2006, UT1-UTC= 0.1394488, Accumulated Leap Seconds=33 + { 2454015.50, 65.046818 }, //07 October 2006, UT1-UTC= 0.1371819, Accumulated Leap Seconds=33 + { 2454016.50, 65.048993 }, //08 October 2006, UT1-UTC= 0.1350067, Accumulated Leap Seconds=33 + { 2454017.50, 65.050876 }, //09 October 2006, UT1-UTC= 0.1331237, Accumulated Leap Seconds=33 + { 2454018.50, 65.052414 }, //10 October 2006, UT1-UTC= 0.1315863, Accumulated Leap Seconds=33 + { 2454019.50, 65.053640 }, //11 October 2006, UT1-UTC= 0.1303598, Accumulated Leap Seconds=33 + { 2454020.50, 65.054680 }, //12 October 2006, UT1-UTC= 0.1293198, Accumulated Leap Seconds=33 + { 2454021.50, 65.055605 }, //13 October 2006, UT1-UTC= 0.1283950, Accumulated Leap Seconds=33 + { 2454022.50, 65.056431 }, //14 October 2006, UT1-UTC= 0.1275689, Accumulated Leap Seconds=33 + { 2454023.50, 65.057320 }, //15 October 2006, UT1-UTC= 0.1266799, Accumulated Leap Seconds=33 + { 2454024.50, 65.058328 }, //16 October 2006, UT1-UTC= 0.1256723, Accumulated Leap Seconds=33 + { 2454025.50, 65.059492 }, //17 October 2006, UT1-UTC= 0.1245078, Accumulated Leap Seconds=33 + { 2454026.50, 65.060796 }, //18 October 2006, UT1-UTC= 0.1232041, Accumulated Leap Seconds=33 + { 2454027.50, 65.062209 }, //19 October 2006, UT1-UTC= 0.1217907, Accumulated Leap Seconds=33 + { 2454028.50, 65.063694 }, //20 October 2006, UT1-UTC= 0.1203059, Accumulated Leap Seconds=33 + { 2454029.50, 65.065179 }, //21 October 2006, UT1-UTC= 0.1188213, Accumulated Leap Seconds=33 + { 2454030.50, 65.066625 }, //22 October 2006, UT1-UTC= 0.1173748, Accumulated Leap Seconds=33 + { 2454031.50, 65.067978 }, //23 October 2006, UT1-UTC= 0.1160217, Accumulated Leap Seconds=33 + { 2454032.50, 65.069206 }, //24 October 2006, UT1-UTC= 0.1147936, Accumulated Leap Seconds=33 + { 2454033.50, 65.070258 }, //25 October 2006, UT1-UTC= 0.1137423, Accumulated Leap Seconds=33 + { 2454034.50, 65.071144 }, //26 October 2006, UT1-UTC= 0.1128561, Accumulated Leap Seconds=33 + { 2454035.50, 65.071950 }, //27 October 2006, UT1-UTC= 0.1120498, Accumulated Leap Seconds=33 + { 2454036.50, 65.072687 }, //28 October 2006, UT1-UTC= 0.1113128, Accumulated Leap Seconds=33 + { 2454037.50, 65.073488 }, //29 October 2006, UT1-UTC= 0.1105119, Accumulated Leap Seconds=33 + { 2454038.50, 65.074471 }, //30 October 2006, UT1-UTC= 0.1095287, Accumulated Leap Seconds=33 + { 2454039.50, 65.075724 }, //31 October 2006, UT1-UTC= 0.1082756, Accumulated Leap Seconds=33 + { 2454040.50, 65.077260 }, //01 November 2006, UT1-UTC= 0.1067403, Accumulated Leap Seconds=33 + { 2454041.50, 65.079099 }, //02 November 2006, UT1-UTC= 0.1049005, Accumulated Leap Seconds=33 + { 2454042.50, 65.081105 }, //03 November 2006, UT1-UTC= 0.1028952, Accumulated Leap Seconds=33 + { 2454043.50, 65.083084 }, //04 November 2006, UT1-UTC= 0.1009160, Accumulated Leap Seconds=33 + { 2454044.50, 65.084868 }, //05 November 2006, UT1-UTC= 0.0991322, Accumulated Leap Seconds=33 + { 2454045.50, 65.086276 }, //06 November 2006, UT1-UTC= 0.0977237, Accumulated Leap Seconds=33 + { 2454046.50, 65.087356 }, //07 November 2006, UT1-UTC= 0.0966440, Accumulated Leap Seconds=33 + { 2454047.50, 65.088165 }, //08 November 2006, UT1-UTC= 0.0958346, Accumulated Leap Seconds=33 + { 2454048.50, 65.088855 }, //09 November 2006, UT1-UTC= 0.0951452, Accumulated Leap Seconds=33 + { 2454049.50, 65.089531 }, //10 November 2006, UT1-UTC= 0.0944694, Accumulated Leap Seconds=33 + { 2454050.50, 65.090249 }, //11 November 2006, UT1-UTC= 0.0937511, Accumulated Leap Seconds=33 + { 2454051.50, 65.091195 }, //12 November 2006, UT1-UTC= 0.0928053, Accumulated Leap Seconds=33 + { 2454052.50, 65.092256 }, //13 November 2006, UT1-UTC= 0.0917441, Accumulated Leap Seconds=33 + { 2454053.50, 65.093440 }, //14 November 2006, UT1-UTC= 0.0905599, Accumulated Leap Seconds=33 + { 2454054.50, 65.094688 }, //15 November 2006, UT1-UTC= 0.0893120, Accumulated Leap Seconds=33 + { 2454055.50, 65.095911 }, //16 November 2006, UT1-UTC= 0.0880885, Accumulated Leap Seconds=33 + { 2454056.50, 65.097155 }, //17 November 2006, UT1-UTC= 0.0868451, Accumulated Leap Seconds=33 + { 2454057.50, 65.098344 }, //18 November 2006, UT1-UTC= 0.0856560, Accumulated Leap Seconds=33 + { 2454058.50, 65.099422 }, //19 November 2006, UT1-UTC= 0.0845782, Accumulated Leap Seconds=33 + { 2454059.50, 65.100385 }, //20 November 2006, UT1-UTC= 0.0836147, Accumulated Leap Seconds=33 + { 2454060.50, 65.101222 }, //21 November 2006, UT1-UTC= 0.0827777, Accumulated Leap Seconds=33 + { 2454061.50, 65.101928 }, //22 November 2006, UT1-UTC= 0.0820722, Accumulated Leap Seconds=33 + { 2454062.50, 65.102537 }, //23 November 2006, UT1-UTC= 0.0814628, Accumulated Leap Seconds=33 + { 2454063.50, 65.103075 }, //24 November 2006, UT1-UTC= 0.0809251, Accumulated Leap Seconds=33 + { 2454064.50, 65.103681 }, //25 November 2006, UT1-UTC= 0.0803188, Accumulated Leap Seconds=33 + { 2454065.50, 65.104491 }, //26 November 2006, UT1-UTC= 0.0795089, Accumulated Leap Seconds=33 + { 2454066.50, 65.105587 }, //27 November 2006, UT1-UTC= 0.0784135, Accumulated Leap Seconds=33 + { 2454067.50, 65.106979 }, //28 November 2006, UT1-UTC= 0.0770213, Accumulated Leap Seconds=33 + { 2454068.50, 65.108616 }, //29 November 2006, UT1-UTC= 0.0753836, Accumulated Leap Seconds=33 + { 2454069.50, 65.110395 }, //30 November 2006, UT1-UTC= 0.0736049, Accumulated Leap Seconds=33 + { 2454070.50, 65.112197 }, //01 December 2006, UT1-UTC= 0.0718030, Accumulated Leap Seconds=33 + { 2454071.50, 65.113872 }, //02 December 2006, UT1-UTC= 0.0701278, Accumulated Leap Seconds=33 + { 2454072.50, 65.115255 }, //03 December 2006, UT1-UTC= 0.0687446, Accumulated Leap Seconds=33 + { 2454073.50, 65.116359 }, //04 December 2006, UT1-UTC= 0.0676410, Accumulated Leap Seconds=33 + { 2454074.50, 65.117247 }, //05 December 2006, UT1-UTC= 0.0667525, Accumulated Leap Seconds=33 + { 2454075.50, 65.118000 }, //06 December 2006, UT1-UTC= 0.0660001, Accumulated Leap Seconds=33 + { 2454076.50, 65.118688 }, //07 December 2006, UT1-UTC= 0.0653118, Accumulated Leap Seconds=33 + { 2454077.50, 65.119493 }, //08 December 2006, UT1-UTC= 0.0645070, Accumulated Leap Seconds=33 + { 2454078.50, 65.120440 }, //09 December 2006, UT1-UTC= 0.0635599, Accumulated Leap Seconds=33 + { 2454079.50, 65.121571 }, //10 December 2006, UT1-UTC= 0.0624287, Accumulated Leap Seconds=33 + { 2454080.50, 65.122862 }, //11 December 2006, UT1-UTC= 0.0611376, Accumulated Leap Seconds=33 + { 2454081.50, 65.124246 }, //12 December 2006, UT1-UTC= 0.0597538, Accumulated Leap Seconds=33 + { 2454082.50, 65.125693 }, //13 December 2006, UT1-UTC= 0.0583074, Accumulated Leap Seconds=33 + { 2454083.50, 65.127090 }, //14 December 2006, UT1-UTC= 0.0569097, Accumulated Leap Seconds=33 + { 2454084.50, 65.128351 }, //15 December 2006, UT1-UTC= 0.0556485, Accumulated Leap Seconds=33 + { 2454085.50, 65.129568 }, //16 December 2006, UT1-UTC= 0.0544320, Accumulated Leap Seconds=33 + { 2454086.50, 65.130609 }, //17 December 2006, UT1-UTC= 0.0533912, Accumulated Leap Seconds=33 + { 2454087.50, 65.131432 }, //18 December 2006, UT1-UTC= 0.0525678, Accumulated Leap Seconds=33 + { 2454088.50, 65.132133 }, //19 December 2006, UT1-UTC= 0.0518672, Accumulated Leap Seconds=33 + { 2454089.50, 65.132746 }, //20 December 2006, UT1-UTC= 0.0512543, Accumulated Leap Seconds=33 + { 2454090.50, 65.133273 }, //21 December 2006, UT1-UTC= 0.0507274, Accumulated Leap Seconds=33 + { 2454091.50, 65.133809 }, //22 December 2006, UT1-UTC= 0.0501906, Accumulated Leap Seconds=33 + { 2454092.50, 65.134521 }, //23 December 2006, UT1-UTC= 0.0494794, Accumulated Leap Seconds=33 + { 2454093.50, 65.135466 }, //24 December 2006, UT1-UTC= 0.0485339, Accumulated Leap Seconds=33 + { 2454094.50, 65.136687 }, //25 December 2006, UT1-UTC= 0.0473128, Accumulated Leap Seconds=33 + { 2454095.50, 65.138153 }, //26 December 2006, UT1-UTC= 0.0458470, Accumulated Leap Seconds=33 + { 2454096.50, 65.139781 }, //27 December 2006, UT1-UTC= 0.0442193, Accumulated Leap Seconds=33 + { 2454097.50, 65.141428 }, //28 December 2006, UT1-UTC= 0.0425721, Accumulated Leap Seconds=33 + { 2454098.50, 65.142975 }, //29 December 2006, UT1-UTC= 0.0410254, Accumulated Leap Seconds=33 + { 2454099.50, 65.144392 }, //30 December 2006, UT1-UTC= 0.0396077, Accumulated Leap Seconds=33 + { 2454100.50, 65.145536 }, //31 December 2006, UT1-UTC= 0.0384637, Accumulated Leap Seconds=33 + { 2454101.50, 65.146403 }, //01 January 2007, UT1-UTC= 0.0375966, Accumulated Leap Seconds=33 + { 2454102.50, 65.147059 }, //02 January 2007, UT1-UTC= 0.0369414, Accumulated Leap Seconds=33 + { 2454103.50, 65.147597 }, //03 January 2007, UT1-UTC= 0.0364027, Accumulated Leap Seconds=33 + { 2454104.50, 65.148142 }, //04 January 2007, UT1-UTC= 0.0358582, Accumulated Leap Seconds=33 + { 2454105.50, 65.148738 }, //05 January 2007, UT1-UTC= 0.0352623, Accumulated Leap Seconds=33 + { 2454106.50, 65.149536 }, //06 January 2007, UT1-UTC= 0.0344638, Accumulated Leap Seconds=33 + { 2454107.50, 65.150526 }, //07 January 2007, UT1-UTC= 0.0334739, Accumulated Leap Seconds=33 + { 2454108.50, 65.151668 }, //08 January 2007, UT1-UTC= 0.0323324, Accumulated Leap Seconds=33 + { 2454109.50, 65.152934 }, //09 January 2007, UT1-UTC= 0.0310659, Accumulated Leap Seconds=33 + { 2454110.50, 65.154285 }, //10 January 2007, UT1-UTC= 0.0297155, Accumulated Leap Seconds=33 + { 2454111.50, 65.155652 }, //11 January 2007, UT1-UTC= 0.0283476, Accumulated Leap Seconds=33 + { 2454112.50, 65.156921 }, //12 January 2007, UT1-UTC= 0.0270789, Accumulated Leap Seconds=33 + { 2454113.50, 65.158141 }, //13 January 2007, UT1-UTC= 0.0258594, Accumulated Leap Seconds=33 + { 2454114.50, 65.159229 }, //14 January 2007, UT1-UTC= 0.0247709, Accumulated Leap Seconds=33 + { 2454115.50, 65.160159 }, //15 January 2007, UT1-UTC= 0.0238413, Accumulated Leap Seconds=33 + { 2454116.50, 65.160973 }, //16 January 2007, UT1-UTC= 0.0230268, Accumulated Leap Seconds=33 + { 2454117.50, 65.161800 }, //17 January 2007, UT1-UTC= 0.0221999, Accumulated Leap Seconds=33 + { 2454118.50, 65.162601 }, //18 January 2007, UT1-UTC= 0.0213993, Accumulated Leap Seconds=33 + { 2454119.50, 65.163537 }, //19 January 2007, UT1-UTC= 0.0204626, Accumulated Leap Seconds=33 + { 2454120.50, 65.164777 }, //20 January 2007, UT1-UTC= 0.0192233, Accumulated Leap Seconds=33 + { 2454121.50, 65.166321 }, //21 January 2007, UT1-UTC= 0.0176790, Accumulated Leap Seconds=33 + { 2454122.50, 65.168140 }, //22 January 2007, UT1-UTC= 0.0158602, Accumulated Leap Seconds=33 + { 2454123.50, 65.170181 }, //23 January 2007, UT1-UTC= 0.0138192, Accumulated Leap Seconds=33 + { 2454124.50, 65.172324 }, //24 January 2007, UT1-UTC= 0.0116764, Accumulated Leap Seconds=33 + { 2454125.50, 65.174381 }, //25 January 2007, UT1-UTC= 0.0096191, Accumulated Leap Seconds=33 + { 2454126.50, 65.176209 }, //26 January 2007, UT1-UTC= 0.0077913, Accumulated Leap Seconds=33 + { 2454127.50, 65.177792 }, //27 January 2007, UT1-UTC= 0.0062075, Accumulated Leap Seconds=33 + { 2454128.50, 65.179101 }, //28 January 2007, UT1-UTC= 0.0048994, Accumulated Leap Seconds=33 + { 2454129.50, 65.180182 }, //29 January 2007, UT1-UTC= 0.0038184, Accumulated Leap Seconds=33 + { 2454130.50, 65.181170 }, //30 January 2007, UT1-UTC= 0.0028299, Accumulated Leap Seconds=33 + { 2454131.50, 65.182167 }, //31 January 2007, UT1-UTC= 0.0018325, Accumulated Leap Seconds=33 + { 2454132.50, 65.183264 }, //01 February 2007, UT1-UTC= 0.0007362, Accumulated Leap Seconds=33 + { 2454133.50, 65.184520 }, //02 February 2007, UT1-UTC=-0.0005201, Accumulated Leap Seconds=33 + { 2454134.50, 65.185959 }, //03 February 2007, UT1-UTC=-0.0019589, Accumulated Leap Seconds=33 + { 2454135.50, 65.187539 }, //04 February 2007, UT1-UTC=-0.0035391, Accumulated Leap Seconds=33 + { 2454136.50, 65.189208 }, //05 February 2007, UT1-UTC=-0.0052080, Accumulated Leap Seconds=33 + { 2454137.50, 65.190922 }, //06 February 2007, UT1-UTC=-0.0069220, Accumulated Leap Seconds=33 + { 2454138.50, 65.192607 }, //07 February 2007, UT1-UTC=-0.0086066, Accumulated Leap Seconds=33 + { 2454139.50, 65.194216 }, //08 February 2007, UT1-UTC=-0.0102163, Accumulated Leap Seconds=33 + { 2454140.50, 65.195661 }, //09 February 2007, UT1-UTC=-0.0116614, Accumulated Leap Seconds=33 + { 2454141.50, 65.196933 }, //10 February 2007, UT1-UTC=-0.0129331, Accumulated Leap Seconds=33 + { 2454142.50, 65.198050 }, //11 February 2007, UT1-UTC=-0.0140499, Accumulated Leap Seconds=33 + { 2454143.50, 65.199004 }, //12 February 2007, UT1-UTC=-0.0150040, Accumulated Leap Seconds=33 + { 2454144.50, 65.199806 }, //13 February 2007, UT1-UTC=-0.0158061, Accumulated Leap Seconds=33 + { 2454145.50, 65.200547 }, //14 February 2007, UT1-UTC=-0.0165468, Accumulated Leap Seconds=33 + { 2454146.50, 65.201289 }, //15 February 2007, UT1-UTC=-0.0172886, Accumulated Leap Seconds=33 + { 2454147.50, 65.202124 }, //16 February 2007, UT1-UTC=-0.0181243, Accumulated Leap Seconds=33 + { 2454148.50, 65.203134 }, //17 February 2007, UT1-UTC=-0.0191337, Accumulated Leap Seconds=33 + { 2454149.50, 65.204366 }, //18 February 2007, UT1-UTC=-0.0203665, Accumulated Leap Seconds=33 + { 2454150.50, 65.205876 }, //19 February 2007, UT1-UTC=-0.0218756, Accumulated Leap Seconds=33 + { 2454151.50, 65.207472 }, //20 February 2007, UT1-UTC=-0.0234719, Accumulated Leap Seconds=33 + { 2454152.50, 65.209002 }, //21 February 2007, UT1-UTC=-0.0250016, Accumulated Leap Seconds=33 + { 2454153.50, 65.210291 }, //22 February 2007, UT1-UTC=-0.0262915, Accumulated Leap Seconds=33 + { 2454154.50, 65.211275 }, //23 February 2007, UT1-UTC=-0.0272747, Accumulated Leap Seconds=33 + { 2454155.50, 65.212032 }, //24 February 2007, UT1-UTC=-0.0280325, Accumulated Leap Seconds=33 + { 2454156.50, 65.212576 }, //25 February 2007, UT1-UTC=-0.0285756, Accumulated Leap Seconds=33 + { 2454157.50, 65.213017 }, //26 February 2007, UT1-UTC=-0.0290170, Accumulated Leap Seconds=33 + { 2454158.50, 65.213438 }, //27 February 2007, UT1-UTC=-0.0294377, Accumulated Leap Seconds=33 + { 2454159.50, 65.213925 }, //28 February 2007, UT1-UTC=-0.0299252, Accumulated Leap Seconds=33 + { 2454160.50, 65.214536 }, //01 March 2007, UT1-UTC=-0.0305358, Accumulated Leap Seconds=33 + { 2454161.50, 65.215302 }, //02 March 2007, UT1-UTC=-0.0313021, Accumulated Leap Seconds=33 + { 2454162.50, 65.216255 }, //03 March 2007, UT1-UTC=-0.0322546, Accumulated Leap Seconds=33 + { 2454163.50, 65.217343 }, //04 March 2007, UT1-UTC=-0.0333426, Accumulated Leap Seconds=33 + { 2454164.50, 65.218540 }, //05 March 2007, UT1-UTC=-0.0345401, Accumulated Leap Seconds=33 + { 2454165.50, 65.219777 }, //06 March 2007, UT1-UTC=-0.0357775, Accumulated Leap Seconds=33 + { 2454166.50, 65.220981 }, //07 March 2007, UT1-UTC=-0.0369806, Accumulated Leap Seconds=33 + { 2454167.50, 65.222160 }, //08 March 2007, UT1-UTC=-0.0381604, Accumulated Leap Seconds=33 + { 2454168.50, 65.223229 }, //09 March 2007, UT1-UTC=-0.0392287, Accumulated Leap Seconds=33 + { 2454169.50, 65.224123 }, //10 March 2007, UT1-UTC=-0.0401227, Accumulated Leap Seconds=33 + { 2454170.50, 65.224860 }, //11 March 2007, UT1-UTC=-0.0408601, Accumulated Leap Seconds=33 + { 2454171.50, 65.225471 }, //12 March 2007, UT1-UTC=-0.0414710, Accumulated Leap Seconds=33 + { 2454172.50, 65.226023 }, //13 March 2007, UT1-UTC=-0.0420227, Accumulated Leap Seconds=33 + { 2454173.50, 65.226599 }, //14 March 2007, UT1-UTC=-0.0425989, Accumulated Leap Seconds=33 + { 2454174.50, 65.227280 }, //15 March 2007, UT1-UTC=-0.0432801, Accumulated Leap Seconds=33 + { 2454175.50, 65.228212 }, //16 March 2007, UT1-UTC=-0.0442119, Accumulated Leap Seconds=33 + { 2454176.50, 65.229534 }, //17 March 2007, UT1-UTC=-0.0455336, Accumulated Leap Seconds=33 + { 2454177.50, 65.231270 }, //18 March 2007, UT1-UTC=-0.0472700, Accumulated Leap Seconds=33 + { 2454178.50, 65.233265 }, //19 March 2007, UT1-UTC=-0.0492653, Accumulated Leap Seconds=33 + { 2454179.50, 65.235366 }, //20 March 2007, UT1-UTC=-0.0513664, Accumulated Leap Seconds=33 + { 2454180.50, 65.237400 }, //21 March 2007, UT1-UTC=-0.0533998, Accumulated Leap Seconds=33 + { 2454181.50, 65.239120 }, //22 March 2007, UT1-UTC=-0.0551204, Accumulated Leap Seconds=33 + { 2454182.50, 65.240415 }, //23 March 2007, UT1-UTC=-0.0564152, Accumulated Leap Seconds=33 + { 2454183.50, 65.241355 }, //24 March 2007, UT1-UTC=-0.0573549, Accumulated Leap Seconds=33 + { 2454184.50, 65.242114 }, //25 March 2007, UT1-UTC=-0.0581136, Accumulated Leap Seconds=33 + { 2454185.50, 65.242816 }, //26 March 2007, UT1-UTC=-0.0588164, Accumulated Leap Seconds=33 + { 2454186.50, 65.243543 }, //27 March 2007, UT1-UTC=-0.0595433, Accumulated Leap Seconds=33 + { 2454187.50, 65.244398 }, //28 March 2007, UT1-UTC=-0.0603980, Accumulated Leap Seconds=33 + { 2454188.50, 65.245450 }, //29 March 2007, UT1-UTC=-0.0614503, Accumulated Leap Seconds=33 + { 2454189.50, 65.246653 }, //30 March 2007, UT1-UTC=-0.0626531, Accumulated Leap Seconds=33 + { 2454190.50, 65.247969 }, //31 March 2007, UT1-UTC=-0.0639692, Accumulated Leap Seconds=33 + { 2454191.50, 65.249371 }, //01 April 2007, UT1-UTC=-0.0653713, Accumulated Leap Seconds=33 + { 2454192.50, 65.250889 }, //02 April 2007, UT1-UTC=-0.0668895, Accumulated Leap Seconds=33 + { 2454193.50, 65.252447 }, //03 April 2007, UT1-UTC=-0.0684467, Accumulated Leap Seconds=33 + { 2454194.50, 65.253974 }, //04 April 2007, UT1-UTC=-0.0699735, Accumulated Leap Seconds=33 + { 2454195.50, 65.255423 }, //05 April 2007, UT1-UTC=-0.0714227, Accumulated Leap Seconds=33 + { 2454196.50, 65.256772 }, //06 April 2007, UT1-UTC=-0.0727718, Accumulated Leap Seconds=33 + { 2454197.50, 65.258025 }, //07 April 2007, UT1-UTC=-0.0740254, Accumulated Leap Seconds=33 + { 2454198.50, 65.259253 }, //08 April 2007, UT1-UTC=-0.0752528, Accumulated Leap Seconds=33 + { 2454199.50, 65.260454 }, //09 April 2007, UT1-UTC=-0.0764542, Accumulated Leap Seconds=33 + { 2454200.50, 65.261642 }, //10 April 2007, UT1-UTC=-0.0776424, Accumulated Leap Seconds=33 + { 2454201.50, 65.262894 }, //11 April 2007, UT1-UTC=-0.0788935, Accumulated Leap Seconds=33 + { 2454202.50, 65.264270 }, //12 April 2007, UT1-UTC=-0.0802701, Accumulated Leap Seconds=33 + { 2454203.50, 65.265849 }, //13 April 2007, UT1-UTC=-0.0818486, Accumulated Leap Seconds=33 + { 2454204.50, 65.267750 }, //14 April 2007, UT1-UTC=-0.0837498, Accumulated Leap Seconds=33 + { 2454205.50, 65.269885 }, //15 April 2007, UT1-UTC=-0.0858846, Accumulated Leap Seconds=33 + { 2454206.50, 65.272167 }, //16 April 2007, UT1-UTC=-0.0881668, Accumulated Leap Seconds=33 + { 2454207.50, 65.274420 }, //17 April 2007, UT1-UTC=-0.0904205, Accumulated Leap Seconds=33 + { 2454208.50, 65.276426 }, //18 April 2007, UT1-UTC=-0.0924261, Accumulated Leap Seconds=33 + { 2454209.50, 65.278065 }, //19 April 2007, UT1-UTC=-0.0940647, Accumulated Leap Seconds=33 + { 2454210.50, 65.279312 }, //20 April 2007, UT1-UTC=-0.0953119, Accumulated Leap Seconds=33 + { 2454211.50, 65.280252 }, //21 April 2007, UT1-UTC=-0.0962523, Accumulated Leap Seconds=33 + { 2454212.50, 65.281059 }, //22 April 2007, UT1-UTC=-0.0970589, Accumulated Leap Seconds=33 + { 2454213.50, 65.281887 }, //23 April 2007, UT1-UTC=-0.0978874, Accumulated Leap Seconds=33 + { 2454214.50, 65.282805 }, //24 April 2007, UT1-UTC=-0.0988054, Accumulated Leap Seconds=33 + { 2454215.50, 65.283825 }, //25 April 2007, UT1-UTC=-0.0998247, Accumulated Leap Seconds=33 + { 2454216.50, 65.285005 }, //26 April 2007, UT1-UTC=-0.1010047, Accumulated Leap Seconds=33 + { 2454217.50, 65.286325 }, //27 April 2007, UT1-UTC=-0.1023246, Accumulated Leap Seconds=33 + { 2454218.50, 65.287770 }, //28 April 2007, UT1-UTC=-0.1037702, Accumulated Leap Seconds=33 + { 2454219.50, 65.289253 }, //29 April 2007, UT1-UTC=-0.1052528, Accumulated Leap Seconds=33 + { 2454220.50, 65.290703 }, //30 April 2007, UT1-UTC=-0.1067029, Accumulated Leap Seconds=33 + { 2454221.50, 65.292064 }, //01 May 2007, UT1-UTC=-0.1080645, Accumulated Leap Seconds=33 + { 2454222.50, 65.293293 }, //02 May 2007, UT1-UTC=-0.1092932, Accumulated Leap Seconds=33 + { 2454223.50, 65.294392 }, //03 May 2007, UT1-UTC=-0.1103915, Accumulated Leap Seconds=33 + { 2454224.50, 65.295338 }, //04 May 2007, UT1-UTC=-0.1113384, Accumulated Leap Seconds=33 + { 2454225.50, 65.296162 }, //05 May 2007, UT1-UTC=-0.1121618, Accumulated Leap Seconds=33 + { 2454226.50, 65.296877 }, //06 May 2007, UT1-UTC=-0.1128767, Accumulated Leap Seconds=33 + { 2454227.50, 65.297519 }, //07 May 2007, UT1-UTC=-0.1135195, Accumulated Leap Seconds=33 + { 2454228.50, 65.298218 }, //08 May 2007, UT1-UTC=-0.1142181, Accumulated Leap Seconds=33 + { 2454229.50, 65.299133 }, //09 May 2007, UT1-UTC=-0.1151328, Accumulated Leap Seconds=33 + { 2454230.50, 65.300318 }, //10 May 2007, UT1-UTC=-0.1163178, Accumulated Leap Seconds=33 + { 2454231.50, 65.301820 }, //11 May 2007, UT1-UTC=-0.1178205, Accumulated Leap Seconds=33 + { 2454232.50, 65.303668 }, //12 May 2007, UT1-UTC=-0.1196679, Accumulated Leap Seconds=33 + { 2454233.50, 65.305815 }, //13 May 2007, UT1-UTC=-0.1218147, Accumulated Leap Seconds=33 + { 2454234.50, 65.308026 }, //14 May 2007, UT1-UTC=-0.1240264, Accumulated Leap Seconds=33 + { 2454235.50, 65.310100 }, //15 May 2007, UT1-UTC=-0.1260998, Accumulated Leap Seconds=33 + { 2454236.50, 65.311850 }, //16 May 2007, UT1-UTC=-0.1278501, Accumulated Leap Seconds=33 + { 2454237.50, 65.313221 }, //17 May 2007, UT1-UTC=-0.1292208, Accumulated Leap Seconds=33 + { 2454238.50, 65.314320 }, //18 May 2007, UT1-UTC=-0.1303198, Accumulated Leap Seconds=33 + { 2454239.50, 65.315229 }, //19 May 2007, UT1-UTC=-0.1312294, Accumulated Leap Seconds=33 + { 2454240.50, 65.316102 }, //20 May 2007, UT1-UTC=-0.1321018, Accumulated Leap Seconds=33 + { 2454241.50, 65.317031 }, //21 May 2007, UT1-UTC=-0.1330305, Accumulated Leap Seconds=33 + { 2454242.50, 65.317947 }, //22 May 2007, UT1-UTC=-0.1339470, Accumulated Leap Seconds=33 + { 2454243.50, 65.318925 }, //23 May 2007, UT1-UTC=-0.1349255, Accumulated Leap Seconds=33 + { 2454244.50, 65.320048 }, //24 May 2007, UT1-UTC=-0.1360483, Accumulated Leap Seconds=33 + { 2454245.50, 65.321331 }, //25 May 2007, UT1-UTC=-0.1373306, Accumulated Leap Seconds=33 + { 2454246.50, 65.322634 }, //26 May 2007, UT1-UTC=-0.1386344, Accumulated Leap Seconds=33 + { 2454247.50, 65.323876 }, //27 May 2007, UT1-UTC=-0.1398765, Accumulated Leap Seconds=33 + { 2454248.50, 65.325012 }, //28 May 2007, UT1-UTC=-0.1410123, Accumulated Leap Seconds=33 + { 2454249.50, 65.326000 }, //29 May 2007, UT1-UTC=-0.1420000, Accumulated Leap Seconds=33 + { 2454250.50, 65.326822 }, //30 May 2007, UT1-UTC=-0.1428218, Accumulated Leap Seconds=33 + { 2454251.50, 65.327473 }, //31 May 2007, UT1-UTC=-0.1434728, Accumulated Leap Seconds=33 + { 2454252.50, 65.327940 }, //01 June 2007, UT1-UTC=-0.1439403, Accumulated Leap Seconds=33 + { 2454253.50, 65.328216 }, //02 June 2007, UT1-UTC=-0.1442162, Accumulated Leap Seconds=33 + { 2454254.50, 65.328377 }, //03 June 2007, UT1-UTC=-0.1443772, Accumulated Leap Seconds=33 + { 2454255.50, 65.328564 }, //04 June 2007, UT1-UTC=-0.1445635, Accumulated Leap Seconds=33 + { 2454256.50, 65.328929 }, //05 June 2007, UT1-UTC=-0.1449290, Accumulated Leap Seconds=33 + { 2454257.50, 65.329516 }, //06 June 2007, UT1-UTC=-0.1455156, Accumulated Leap Seconds=33 + { 2454258.50, 65.330287 }, //07 June 2007, UT1-UTC=-0.1462873, Accumulated Leap Seconds=33 + { 2454259.50, 65.331245 }, //08 June 2007, UT1-UTC=-0.1472454, Accumulated Leap Seconds=33 + { 2454260.50, 65.332321 }, //09 June 2007, UT1-UTC=-0.1483210, Accumulated Leap Seconds=33 + { 2454261.50, 65.333451 }, //10 June 2007, UT1-UTC=-0.1494508, Accumulated Leap Seconds=33 + { 2454262.50, 65.334549 }, //11 June 2007, UT1-UTC=-0.1505489, Accumulated Leap Seconds=33 + { 2454263.50, 65.335459 }, //12 June 2007, UT1-UTC=-0.1514586, Accumulated Leap Seconds=33 + { 2454264.50, 65.336053 }, //13 June 2007, UT1-UTC=-0.1520530, Accumulated Leap Seconds=33 + { 2454265.50, 65.336328 }, //14 June 2007, UT1-UTC=-0.1523285, Accumulated Leap Seconds=33 + { 2454266.50, 65.336367 }, //15 June 2007, UT1-UTC=-0.1523672, Accumulated Leap Seconds=33 + { 2454267.50, 65.336298 }, //16 June 2007, UT1-UTC=-0.1522976, Accumulated Leap Seconds=33 + { 2454268.50, 65.336304 }, //17 June 2007, UT1-UTC=-0.1523038, Accumulated Leap Seconds=33 + { 2454269.50, 65.336493 }, //18 June 2007, UT1-UTC=-0.1524927, Accumulated Leap Seconds=33 + { 2454270.50, 65.336866 }, //19 June 2007, UT1-UTC=-0.1528665, Accumulated Leap Seconds=33 + { 2454271.50, 65.337426 }, //20 June 2007, UT1-UTC=-0.1534259, Accumulated Leap Seconds=33 + { 2454272.50, 65.338131 }, //21 June 2007, UT1-UTC=-0.1541307, Accumulated Leap Seconds=33 + { 2454273.50, 65.338883 }, //22 June 2007, UT1-UTC=-0.1548830, Accumulated Leap Seconds=33 + { 2454274.50, 65.339591 }, //23 June 2007, UT1-UTC=-0.1555914, Accumulated Leap Seconds=33 + { 2454275.50, 65.340210 }, //24 June 2007, UT1-UTC=-0.1562105, Accumulated Leap Seconds=33 + { 2454276.50, 65.340728 }, //25 June 2007, UT1-UTC=-0.1567277, Accumulated Leap Seconds=33 + { 2454277.50, 65.341098 }, //26 June 2007, UT1-UTC=-0.1570984, Accumulated Leap Seconds=33 + { 2454278.50, 65.341330 }, //27 June 2007, UT1-UTC=-0.1573298, Accumulated Leap Seconds=33 + { 2454279.50, 65.341425 }, //28 June 2007, UT1-UTC=-0.1574245, Accumulated Leap Seconds=33 + { 2454280.50, 65.341416 }, //29 June 2007, UT1-UTC=-0.1574159, Accumulated Leap Seconds=33 + { 2454281.50, 65.341377 }, //30 June 2007, UT1-UTC=-0.1573773, Accumulated Leap Seconds=33 + { 2454282.50, 65.341337 }, //01 July 2007, UT1-UTC=-0.1573366, Accumulated Leap Seconds=33 + { 2454283.50, 65.341421 }, //02 July 2007, UT1-UTC=-0.1574206, Accumulated Leap Seconds=33 + { 2454284.50, 65.341734 }, //03 July 2007, UT1-UTC=-0.1577341, Accumulated Leap Seconds=33 + { 2454285.50, 65.342300 }, //04 July 2007, UT1-UTC=-0.1583003, Accumulated Leap Seconds=33 + { 2454286.50, 65.343068 }, //05 July 2007, UT1-UTC=-0.1590684, Accumulated Leap Seconds=33 + { 2454287.50, 65.343981 }, //06 July 2007, UT1-UTC=-0.1599805, Accumulated Leap Seconds=33 + { 2454288.50, 65.344938 }, //07 July 2007, UT1-UTC=-0.1609384, Accumulated Leap Seconds=33 + { 2454289.50, 65.345819 }, //08 July 2007, UT1-UTC=-0.1618187, Accumulated Leap Seconds=33 + { 2454290.50, 65.346453 }, //09 July 2007, UT1-UTC=-0.1624532, Accumulated Leap Seconds=33 + { 2454291.50, 65.346776 }, //10 July 2007, UT1-UTC=-0.1627757, Accumulated Leap Seconds=33 + { 2454292.50, 65.346857 }, //11 July 2007, UT1-UTC=-0.1628569, Accumulated Leap Seconds=33 + { 2454293.50, 65.346719 }, //12 July 2007, UT1-UTC=-0.1627189, Accumulated Leap Seconds=33 + { 2454294.50, 65.346471 }, //13 July 2007, UT1-UTC=-0.1624711, Accumulated Leap Seconds=33 + { 2454295.50, 65.346174 }, //14 July 2007, UT1-UTC=-0.1621739, Accumulated Leap Seconds=33 + { 2454296.50, 65.345996 }, //15 July 2007, UT1-UTC=-0.1619959, Accumulated Leap Seconds=33 + { 2454297.50, 65.345990 }, //16 July 2007, UT1-UTC=-0.1619895, Accumulated Leap Seconds=33 + { 2454298.50, 65.346156 }, //17 July 2007, UT1-UTC=-0.1621563, Accumulated Leap Seconds=33 + { 2454299.50, 65.346480 }, //18 July 2007, UT1-UTC=-0.1624805, Accumulated Leap Seconds=33 + { 2454300.50, 65.346882 }, //19 July 2007, UT1-UTC=-0.1628822, Accumulated Leap Seconds=33 + { 2454301.50, 65.347262 }, //20 July 2007, UT1-UTC=-0.1632619, Accumulated Leap Seconds=33 + { 2454302.50, 65.347555 }, //21 July 2007, UT1-UTC=-0.1635550, Accumulated Leap Seconds=33 + { 2454303.50, 65.347723 }, //22 July 2007, UT1-UTC=-0.1637231, Accumulated Leap Seconds=33 + { 2454304.50, 65.347713 }, //23 July 2007, UT1-UTC=-0.1637131, Accumulated Leap Seconds=33 + { 2454305.50, 65.347512 }, //24 July 2007, UT1-UTC=-0.1635122, Accumulated Leap Seconds=33 + { 2454306.50, 65.347126 }, //25 July 2007, UT1-UTC=-0.1631264, Accumulated Leap Seconds=33 + { 2454307.50, 65.346572 }, //26 July 2007, UT1-UTC=-0.1625716, Accumulated Leap Seconds=33 + { 2454308.50, 65.345951 }, //27 July 2007, UT1-UTC=-0.1619507, Accumulated Leap Seconds=33 + { 2454309.50, 65.345355 }, //28 July 2007, UT1-UTC=-0.1613552, Accumulated Leap Seconds=33 + { 2454310.50, 65.344926 }, //29 July 2007, UT1-UTC=-0.1609255, Accumulated Leap Seconds=33 + { 2454311.50, 65.344739 }, //30 July 2007, UT1-UTC=-0.1607387, Accumulated Leap Seconds=33 + { 2454312.50, 65.344824 }, //31 July 2007, UT1-UTC=-0.1608236, Accumulated Leap Seconds=33 + { 2454313.50, 65.345188 }, //01 August 2007, UT1-UTC=-0.1611881, Accumulated Leap Seconds=33 + { 2454314.50, 65.345814 }, //02 August 2007, UT1-UTC=-0.1618138, Accumulated Leap Seconds=33 + { 2454315.50, 65.346607 }, //03 August 2007, UT1-UTC=-0.1626073, Accumulated Leap Seconds=33 + { 2454316.50, 65.347363 }, //04 August 2007, UT1-UTC=-0.1633628, Accumulated Leap Seconds=33 + { 2454317.50, 65.347960 }, //05 August 2007, UT1-UTC=-0.1639595, Accumulated Leap Seconds=33 + { 2454318.50, 65.348304 }, //06 August 2007, UT1-UTC=-0.1643038, Accumulated Leap Seconds=33 + { 2454319.50, 65.348351 }, //07 August 2007, UT1-UTC=-0.1643512, Accumulated Leap Seconds=33 + { 2454320.50, 65.348138 }, //08 August 2007, UT1-UTC=-0.1641383, Accumulated Leap Seconds=33 + { 2454321.50, 65.347751 }, //09 August 2007, UT1-UTC=-0.1637508, Accumulated Leap Seconds=33 + { 2454322.50, 65.347288 }, //10 August 2007, UT1-UTC=-0.1632878, Accumulated Leap Seconds=33 + { 2454323.50, 65.346905 }, //11 August 2007, UT1-UTC=-0.1629055, Accumulated Leap Seconds=33 + { 2454324.50, 65.346727 }, //12 August 2007, UT1-UTC=-0.1627268, Accumulated Leap Seconds=33 + { 2454325.50, 65.346746 }, //13 August 2007, UT1-UTC=-0.1627462, Accumulated Leap Seconds=33 + { 2454326.50, 65.346892 }, //14 August 2007, UT1-UTC=-0.1628922, Accumulated Leap Seconds=33 + { 2454327.50, 65.347132 }, //15 August 2007, UT1-UTC=-0.1631324, Accumulated Leap Seconds=33 + { 2454328.50, 65.347408 }, //16 August 2007, UT1-UTC=-0.1634081, Accumulated Leap Seconds=33 + { 2454329.50, 65.347639 }, //17 August 2007, UT1-UTC=-0.1636393, Accumulated Leap Seconds=33 + { 2454330.50, 65.347856 }, //18 August 2007, UT1-UTC=-0.1638565, Accumulated Leap Seconds=33 + { 2454331.50, 65.347993 }, //19 August 2007, UT1-UTC=-0.1639926, Accumulated Leap Seconds=33 + { 2454332.50, 65.348001 }, //20 August 2007, UT1-UTC=-0.1640014, Accumulated Leap Seconds=33 + { 2454333.50, 65.347853 }, //21 August 2007, UT1-UTC=-0.1638526, Accumulated Leap Seconds=33 + { 2454334.50, 65.347545 }, //22 August 2007, UT1-UTC=-0.1635452, Accumulated Leap Seconds=33 + { 2454335.50, 65.347115 }, //23 August 2007, UT1-UTC=-0.1631149, Accumulated Leap Seconds=33 + { 2454336.50, 65.346611 }, //24 August 2007, UT1-UTC=-0.1626115, Accumulated Leap Seconds=33 + { 2454337.50, 65.346173 }, //25 August 2007, UT1-UTC=-0.1621729, Accumulated Leap Seconds=33 + { 2454338.50, 65.345902 }, //26 August 2007, UT1-UTC=-0.1619021, Accumulated Leap Seconds=33 + { 2454339.50, 65.345899 }, //27 August 2007, UT1-UTC=-0.1618994, Accumulated Leap Seconds=33 + { 2454340.50, 65.346205 }, //28 August 2007, UT1-UTC=-0.1622055, Accumulated Leap Seconds=33 + { 2454341.50, 65.346843 }, //29 August 2007, UT1-UTC=-0.1628426, Accumulated Leap Seconds=33 + { 2454342.50, 65.347711 }, //30 August 2007, UT1-UTC=-0.1637113, Accumulated Leap Seconds=33 + { 2454343.50, 65.348689 }, //31 August 2007, UT1-UTC=-0.1646890, Accumulated Leap Seconds=33 + { 2454344.50, 65.349640 }, //01 September 2007, UT1-UTC=-0.1656400, Accumulated Leap Seconds=33 + { 2454345.50, 65.350398 }, //02 September 2007, UT1-UTC=-0.1663977, Accumulated Leap Seconds=33 + { 2454346.50, 65.350887 }, //03 September 2007, UT1-UTC=-0.1668870, Accumulated Leap Seconds=33 + { 2454347.50, 65.351120 }, //04 September 2007, UT1-UTC=-0.1671203, Accumulated Leap Seconds=33 + { 2454348.50, 65.351184 }, //05 September 2007, UT1-UTC=-0.1671837, Accumulated Leap Seconds=33 + { 2454349.50, 65.351226 }, //06 September 2007, UT1-UTC=-0.1672262, Accumulated Leap Seconds=33 + { 2454350.50, 65.351353 }, //07 September 2007, UT1-UTC=-0.1673525, Accumulated Leap Seconds=33 + { 2454351.50, 65.351646 }, //08 September 2007, UT1-UTC=-0.1676457, Accumulated Leap Seconds=33 + { 2454352.50, 65.352150 }, //09 September 2007, UT1-UTC=-0.1681500, Accumulated Leap Seconds=33 + { 2454353.50, 65.352869 }, //10 September 2007, UT1-UTC=-0.1688687, Accumulated Leap Seconds=33 + { 2454354.50, 65.353698 }, //11 September 2007, UT1-UTC=-0.1696978, Accumulated Leap Seconds=33 + { 2454355.50, 65.354593 }, //12 September 2007, UT1-UTC=-0.1705927, Accumulated Leap Seconds=33 + { 2454356.50, 65.355555 }, //13 September 2007, UT1-UTC=-0.1715547, Accumulated Leap Seconds=33 + { 2454357.50, 65.356452 }, //14 September 2007, UT1-UTC=-0.1724516, Accumulated Leap Seconds=33 + { 2454358.50, 65.357230 }, //15 September 2007, UT1-UTC=-0.1732301, Accumulated Leap Seconds=33 + { 2454359.50, 65.357864 }, //16 September 2007, UT1-UTC=-0.1738645, Accumulated Leap Seconds=33 + { 2454360.50, 65.358348 }, //17 September 2007, UT1-UTC=-0.1743479, Accumulated Leap Seconds=33 + { 2454361.50, 65.358711 }, //18 September 2007, UT1-UTC=-0.1747108, Accumulated Leap Seconds=33 + { 2454362.50, 65.358961 }, //19 September 2007, UT1-UTC=-0.1749608, Accumulated Leap Seconds=33 + { 2454363.50, 65.359178 }, //20 September 2007, UT1-UTC=-0.1751775, Accumulated Leap Seconds=33 + { 2454364.50, 65.359478 }, //21 September 2007, UT1-UTC=-0.1754780, Accumulated Leap Seconds=33 + { 2454365.50, 65.359935 }, //22 September 2007, UT1-UTC=-0.1759346, Accumulated Leap Seconds=33 + { 2454366.50, 65.360599 }, //23 September 2007, UT1-UTC=-0.1765990, Accumulated Leap Seconds=33 + { 2454367.50, 65.361547 }, //24 September 2007, UT1-UTC=-0.1775465, Accumulated Leap Seconds=33 + { 2454368.50, 65.362791 }, //25 September 2007, UT1-UTC=-0.1787912, Accumulated Leap Seconds=33 + { 2454369.50, 65.364395 }, //26 September 2007, UT1-UTC=-0.1803951, Accumulated Leap Seconds=33 + { 2454370.50, 65.366119 }, //27 September 2007, UT1-UTC=-0.1821194, Accumulated Leap Seconds=33 + { 2454371.50, 65.367751 }, //28 September 2007, UT1-UTC=-0.1837513, Accumulated Leap Seconds=33 + { 2454372.50, 65.369171 }, //29 September 2007, UT1-UTC=-0.1851709, Accumulated Leap Seconds=33 + { 2454373.50, 65.370300 }, //30 September 2007, UT1-UTC=-0.1863000, Accumulated Leap Seconds=33 + { 2454374.50, 65.371131 }, //01 October 2007, UT1-UTC=-0.1871307, Accumulated Leap Seconds=33 + { 2454375.50, 65.371715 }, //02 October 2007, UT1-UTC=-0.1877154, Accumulated Leap Seconds=33 + { 2454376.50, 65.372223 }, //03 October 2007, UT1-UTC=-0.1882226, Accumulated Leap Seconds=33 + { 2454377.50, 65.372756 }, //04 October 2007, UT1-UTC=-0.1887562, Accumulated Leap Seconds=33 + { 2454378.50, 65.373371 }, //05 October 2007, UT1-UTC=-0.1893708, Accumulated Leap Seconds=33 + { 2454379.50, 65.374086 }, //06 October 2007, UT1-UTC=-0.1900862, Accumulated Leap Seconds=33 + { 2454380.50, 65.374949 }, //07 October 2007, UT1-UTC=-0.1909486, Accumulated Leap Seconds=33 + { 2454381.50, 65.375933 }, //08 October 2007, UT1-UTC=-0.1919326, Accumulated Leap Seconds=33 + { 2454382.50, 65.376978 }, //09 October 2007, UT1-UTC=-0.1929784, Accumulated Leap Seconds=33 + { 2454383.50, 65.378058 }, //10 October 2007, UT1-UTC=-0.1940585, Accumulated Leap Seconds=33 + { 2454384.50, 65.379158 }, //11 October 2007, UT1-UTC=-0.1951579, Accumulated Leap Seconds=33 + { 2454385.50, 65.380161 }, //12 October 2007, UT1-UTC=-0.1961614, Accumulated Leap Seconds=33 + { 2454386.50, 65.381024 }, //13 October 2007, UT1-UTC=-0.1970240, Accumulated Leap Seconds=33 + { 2454387.50, 65.381703 }, //14 October 2007, UT1-UTC=-0.1977025, Accumulated Leap Seconds=33 + { 2454388.50, 65.382223 }, //15 October 2007, UT1-UTC=-0.1982226, Accumulated Leap Seconds=33 + { 2454389.50, 65.382649 }, //16 October 2007, UT1-UTC=-0.1986487, Accumulated Leap Seconds=33 + { 2454390.50, 65.383032 }, //17 October 2007, UT1-UTC=-0.1990321, Accumulated Leap Seconds=33 + { 2454391.50, 65.383481 }, //18 October 2007, UT1-UTC=-0.1994807, Accumulated Leap Seconds=33 + { 2454392.50, 65.384036 }, //19 October 2007, UT1-UTC=-0.2000363, Accumulated Leap Seconds=33 + { 2454393.50, 65.384752 }, //20 October 2007, UT1-UTC=-0.2007521, Accumulated Leap Seconds=33 + { 2454394.50, 65.385681 }, //21 October 2007, UT1-UTC=-0.2016807, Accumulated Leap Seconds=33 + { 2454395.50, 65.386828 }, //22 October 2007, UT1-UTC=-0.2028284, Accumulated Leap Seconds=33 + { 2454396.50, 65.388218 }, //23 October 2007, UT1-UTC=-0.2042182, Accumulated Leap Seconds=33 + { 2454397.50, 65.389838 }, //24 October 2007, UT1-UTC=-0.2058379, Accumulated Leap Seconds=33 + { 2454398.50, 65.391530 }, //25 October 2007, UT1-UTC=-0.2075304, Accumulated Leap Seconds=33 + { 2454399.50, 65.393062 }, //26 October 2007, UT1-UTC=-0.2090621, Accumulated Leap Seconds=33 + { 2454400.50, 65.394252 }, //27 October 2007, UT1-UTC=-0.2102517, Accumulated Leap Seconds=33 + { 2454401.50, 65.395080 }, //28 October 2007, UT1-UTC=-0.2110800, Accumulated Leap Seconds=33 + { 2454402.50, 65.395662 }, //29 October 2007, UT1-UTC=-0.2116624, Accumulated Leap Seconds=33 + { 2454403.50, 65.396155 }, //30 October 2007, UT1-UTC=-0.2121553, Accumulated Leap Seconds=33 + { 2454404.50, 65.396643 }, //31 October 2007, UT1-UTC=-0.2126427, Accumulated Leap Seconds=33 + { 2454405.50, 65.397200 }, //01 November 2007, UT1-UTC=-0.2131998, Accumulated Leap Seconds=33 + { 2454406.50, 65.397886 }, //02 November 2007, UT1-UTC=-0.2138860, Accumulated Leap Seconds=33 + { 2454407.50, 65.398736 }, //03 November 2007, UT1-UTC=-0.2147359, Accumulated Leap Seconds=33 + { 2454408.50, 65.399722 }, //04 November 2007, UT1-UTC=-0.2157221, Accumulated Leap Seconds=33 + { 2454409.50, 65.400744 }, //05 November 2007, UT1-UTC=-0.2167438, Accumulated Leap Seconds=33 + { 2454410.50, 65.401789 }, //06 November 2007, UT1-UTC=-0.2177889, Accumulated Leap Seconds=33 + { 2454411.50, 65.402842 }, //07 November 2007, UT1-UTC=-0.2188419, Accumulated Leap Seconds=33 + { 2454412.50, 65.403891 }, //08 November 2007, UT1-UTC=-0.2198909, Accumulated Leap Seconds=33 + { 2454413.50, 65.404838 }, //09 November 2007, UT1-UTC=-0.2208385, Accumulated Leap Seconds=33 + { 2454414.50, 65.405599 }, //10 November 2007, UT1-UTC=-0.2215991, Accumulated Leap Seconds=33 + { 2454415.50, 65.406172 }, //11 November 2007, UT1-UTC=-0.2221723, Accumulated Leap Seconds=33 + { 2454416.50, 65.406586 }, //12 November 2007, UT1-UTC=-0.2225862, Accumulated Leap Seconds=33 + { 2454417.50, 65.406909 }, //13 November 2007, UT1-UTC=-0.2229088, Accumulated Leap Seconds=33 + { 2454418.50, 65.407255 }, //14 November 2007, UT1-UTC=-0.2232552, Accumulated Leap Seconds=33 + { 2454419.50, 65.407718 }, //15 November 2007, UT1-UTC=-0.2237181, Accumulated Leap Seconds=33 + { 2454420.50, 65.408438 }, //16 November 2007, UT1-UTC=-0.2244383, Accumulated Leap Seconds=33 + { 2454421.50, 65.409429 }, //17 November 2007, UT1-UTC=-0.2254288, Accumulated Leap Seconds=33 + { 2454422.50, 65.410698 }, //18 November 2007, UT1-UTC=-0.2266985, Accumulated Leap Seconds=33 + { 2454423.50, 65.412277 }, //19 November 2007, UT1-UTC=-0.2282772, Accumulated Leap Seconds=33 + { 2454424.50, 65.414114 }, //20 November 2007, UT1-UTC=-0.2301145, Accumulated Leap Seconds=33 + { 2454425.50, 65.416095 }, //21 November 2007, UT1-UTC=-0.2320951, Accumulated Leap Seconds=33 + { 2454426.50, 65.418095 }, //22 November 2007, UT1-UTC=-0.2340954, Accumulated Leap Seconds=33 + { 2454427.50, 65.419938 }, //23 November 2007, UT1-UTC=-0.2359377, Accumulated Leap Seconds=33 + { 2454428.50, 65.421505 }, //24 November 2007, UT1-UTC=-0.2375048, Accumulated Leap Seconds=33 + { 2454429.50, 65.422764 }, //25 November 2007, UT1-UTC=-0.2387638, Accumulated Leap Seconds=33 + { 2454430.50, 65.423777 }, //26 November 2007, UT1-UTC=-0.2397770, Accumulated Leap Seconds=33 + { 2454431.50, 65.424684 }, //27 November 2007, UT1-UTC=-0.2406843, Accumulated Leap Seconds=33 + { 2454432.50, 65.425644 }, //28 November 2007, UT1-UTC=-0.2416439, Accumulated Leap Seconds=33 + { 2454433.50, 65.426752 }, //29 November 2007, UT1-UTC=-0.2427516, Accumulated Leap Seconds=33 + { 2454434.50, 65.428060 }, //30 November 2007, UT1-UTC=-0.2440595, Accumulated Leap Seconds=33 + { 2454435.50, 65.429555 }, //01 December 2007, UT1-UTC=-0.2455547, Accumulated Leap Seconds=33 + { 2454436.50, 65.431134 }, //02 December 2007, UT1-UTC=-0.2471345, Accumulated Leap Seconds=33 + { 2454437.50, 65.432739 }, //03 December 2007, UT1-UTC=-0.2487391, Accumulated Leap Seconds=33 + { 2454438.50, 65.434252 }, //04 December 2007, UT1-UTC=-0.2502523, Accumulated Leap Seconds=33 + { 2454439.50, 65.435588 }, //05 December 2007, UT1-UTC=-0.2515877, Accumulated Leap Seconds=33 + { 2454440.50, 65.436672 }, //06 December 2007, UT1-UTC=-0.2526718, Accumulated Leap Seconds=33 + { 2454441.50, 65.437506 }, //07 December 2007, UT1-UTC=-0.2535059, Accumulated Leap Seconds=33 + { 2454442.50, 65.438088 }, //08 December 2007, UT1-UTC=-0.2540880, Accumulated Leap Seconds=33 + { 2454443.50, 65.438446 }, //09 December 2007, UT1-UTC=-0.2544462, Accumulated Leap Seconds=33 + { 2454444.50, 65.438655 }, //10 December 2007, UT1-UTC=-0.2546547, Accumulated Leap Seconds=33 + { 2454445.50, 65.438809 }, //11 December 2007, UT1-UTC=-0.2548093, Accumulated Leap Seconds=33 + { 2454446.50, 65.439034 }, //12 December 2007, UT1-UTC=-0.2550337, Accumulated Leap Seconds=33 + { 2454447.50, 65.439391 }, //13 December 2007, UT1-UTC=-0.2553910, Accumulated Leap Seconds=33 + { 2454448.50, 65.439908 }, //14 December 2007, UT1-UTC=-0.2559077, Accumulated Leap Seconds=33 + { 2454449.50, 65.440638 }, //15 December 2007, UT1-UTC=-0.2566382, Accumulated Leap Seconds=33 + { 2454450.50, 65.441625 }, //16 December 2007, UT1-UTC=-0.2576246, Accumulated Leap Seconds=33 + { 2454451.50, 65.442833 }, //17 December 2007, UT1-UTC=-0.2588329, Accumulated Leap Seconds=33 + { 2454452.50, 65.444155 }, //18 December 2007, UT1-UTC=-0.2601553, Accumulated Leap Seconds=33 + { 2454453.50, 65.445465 }, //19 December 2007, UT1-UTC=-0.2614654, Accumulated Leap Seconds=33 + { 2454454.50, 65.446731 }, //20 December 2007, UT1-UTC=-0.2627308, Accumulated Leap Seconds=33 + { 2454455.50, 65.447833 }, //21 December 2007, UT1-UTC=-0.2638328, Accumulated Leap Seconds=33 + { 2454456.50, 65.448614 }, //22 December 2007, UT1-UTC=-0.2646138, Accumulated Leap Seconds=33 + { 2454457.50, 65.449167 }, //23 December 2007, UT1-UTC=-0.2651672, Accumulated Leap Seconds=33 + { 2454458.50, 65.449641 }, //24 December 2007, UT1-UTC=-0.2656413, Accumulated Leap Seconds=33 + { 2454459.50, 65.450158 }, //25 December 2007, UT1-UTC=-0.2661582, Accumulated Leap Seconds=33 + { 2454460.50, 65.450806 }, //26 December 2007, UT1-UTC=-0.2668056, Accumulated Leap Seconds=33 + { 2454461.50, 65.451625 }, //27 December 2007, UT1-UTC=-0.2676248, Accumulated Leap Seconds=33 + { 2454462.50, 65.452620 }, //28 December 2007, UT1-UTC=-0.2686198, Accumulated Leap Seconds=33 + { 2454463.50, 65.453758 }, //29 December 2007, UT1-UTC=-0.2697583, Accumulated Leap Seconds=33 + { 2454464.50, 65.455023 }, //30 December 2007, UT1-UTC=-0.2710235, Accumulated Leap Seconds=33 + { 2454465.50, 65.456245 }, //31 December 2007, UT1-UTC=-0.2722454, Accumulated Leap Seconds=33 + { 2454466.50, 65.457349 }, //01 January 2008, UT1-UTC=-0.2733487, Accumulated Leap Seconds=33 + { 2454467.50, 65.458325 }, //02 January 2008, UT1-UTC=-0.2743246, Accumulated Leap Seconds=33 + { 2454468.50, 65.459192 }, //03 January 2008, UT1-UTC=-0.2751923, Accumulated Leap Seconds=33 + { 2454469.50, 65.459954 }, //04 January 2008, UT1-UTC=-0.2759541, Accumulated Leap Seconds=33 + { 2454470.50, 65.460611 }, //05 January 2008, UT1-UTC=-0.2766112, Accumulated Leap Seconds=33 + { 2454471.50, 65.461205 }, //06 January 2008, UT1-UTC=-0.2772046, Accumulated Leap Seconds=33 + { 2454472.50, 65.461744 }, //07 January 2008, UT1-UTC=-0.2777443, Accumulated Leap Seconds=33 + { 2454473.50, 65.462260 }, //08 January 2008, UT1-UTC=-0.2782602, Accumulated Leap Seconds=33 + { 2454474.50, 65.462847 }, //09 January 2008, UT1-UTC=-0.2788466, Accumulated Leap Seconds=33 + { 2454475.50, 65.463572 }, //10 January 2008, UT1-UTC=-0.2795717, Accumulated Leap Seconds=33 + { 2454476.50, 65.464459 }, //11 January 2008, UT1-UTC=-0.2804593, Accumulated Leap Seconds=33 + { 2454477.50, 65.465550 }, //12 January 2008, UT1-UTC=-0.2815502, Accumulated Leap Seconds=33 + { 2454478.50, 65.466827 }, //13 January 2008, UT1-UTC=-0.2828270, Accumulated Leap Seconds=33 + { 2454479.50, 65.468206 }, //14 January 2008, UT1-UTC=-0.2842063, Accumulated Leap Seconds=33 + { 2454480.50, 65.469592 }, //15 January 2008, UT1-UTC=-0.2855919, Accumulated Leap Seconds=33 + { 2454481.50, 65.470910 }, //16 January 2008, UT1-UTC=-0.2869096, Accumulated Leap Seconds=33 + { 2454482.50, 65.472001 }, //17 January 2008, UT1-UTC=-0.2880006, Accumulated Leap Seconds=33 + { 2454483.50, 65.472795 }, //18 January 2008, UT1-UTC=-0.2887946, Accumulated Leap Seconds=33 + { 2454484.50, 65.473356 }, //19 January 2008, UT1-UTC=-0.2893557, Accumulated Leap Seconds=33 + { 2454485.50, 65.473784 }, //20 January 2008, UT1-UTC=-0.2897838, Accumulated Leap Seconds=33 + { 2454486.50, 65.474214 }, //21 January 2008, UT1-UTC=-0.2902138, Accumulated Leap Seconds=33 + { 2454487.50, 65.474806 }, //22 January 2008, UT1-UTC=-0.2908058, Accumulated Leap Seconds=33 + { 2454488.50, 65.475645 }, //23 January 2008, UT1-UTC=-0.2916448, Accumulated Leap Seconds=33 + { 2454489.50, 65.476758 }, //24 January 2008, UT1-UTC=-0.2927578, Accumulated Leap Seconds=33 + { 2454490.50, 65.478091 }, //25 January 2008, UT1-UTC=-0.2940911, Accumulated Leap Seconds=33 + { 2454491.50, 65.479590 }, //26 January 2008, UT1-UTC=-0.2955900, Accumulated Leap Seconds=33 + { 2454492.50, 65.481124 }, //27 January 2008, UT1-UTC=-0.2971245, Accumulated Leap Seconds=33 + { 2454493.50, 65.482604 }, //28 January 2008, UT1-UTC=-0.2986041, Accumulated Leap Seconds=33 + { 2454494.50, 65.483962 }, //29 January 2008, UT1-UTC=-0.2999616, Accumulated Leap Seconds=33 + { 2454495.50, 65.485109 }, //30 January 2008, UT1-UTC=-0.3011086, Accumulated Leap Seconds=33 + { 2454496.50, 65.486020 }, //31 January 2008, UT1-UTC=-0.3020201, Accumulated Leap Seconds=33 + { 2454497.50, 65.486752 }, //01 February 2008, UT1-UTC=-0.3027520, Accumulated Leap Seconds=33 + { 2454498.50, 65.487392 }, //02 February 2008, UT1-UTC=-0.3033916, Accumulated Leap Seconds=33 + { 2454499.50, 65.487970 }, //03 February 2008, UT1-UTC=-0.3039696, Accumulated Leap Seconds=33 + { 2454500.50, 65.488530 }, //04 February 2008, UT1-UTC=-0.3045304, Accumulated Leap Seconds=33 + { 2454501.50, 65.489205 }, //05 February 2008, UT1-UTC=-0.3052051, Accumulated Leap Seconds=33 + { 2454502.50, 65.490069 }, //06 February 2008, UT1-UTC=-0.3060687, Accumulated Leap Seconds=33 + { 2454503.50, 65.491147 }, //07 February 2008, UT1-UTC=-0.3071474, Accumulated Leap Seconds=33 + { 2454504.50, 65.492466 }, //08 February 2008, UT1-UTC=-0.3084659, Accumulated Leap Seconds=33 + { 2454505.50, 65.493973 }, //09 February 2008, UT1-UTC=-0.3099733, Accumulated Leap Seconds=33 + { 2454506.50, 65.495569 }, //10 February 2008, UT1-UTC=-0.3115686, Accumulated Leap Seconds=33 + { 2454507.50, 65.497229 }, //11 February 2008, UT1-UTC=-0.3132294, Accumulated Leap Seconds=33 + { 2454508.50, 65.498821 }, //12 February 2008, UT1-UTC=-0.3148210, Accumulated Leap Seconds=33 + { 2454509.50, 65.500175 }, //13 February 2008, UT1-UTC=-0.3161747, Accumulated Leap Seconds=33 + { 2454510.50, 65.501323 }, //14 February 2008, UT1-UTC=-0.3173231, Accumulated Leap Seconds=33 + { 2454511.50, 65.502233 }, //15 February 2008, UT1-UTC=-0.3182327, Accumulated Leap Seconds=33 + { 2454512.50, 65.502919 }, //16 February 2008, UT1-UTC=-0.3189186, Accumulated Leap Seconds=33 + { 2454513.50, 65.503478 }, //17 February 2008, UT1-UTC=-0.3194775, Accumulated Leap Seconds=33 + { 2454514.50, 65.504078 }, //18 February 2008, UT1-UTC=-0.3200785, Accumulated Leap Seconds=33 + { 2454515.50, 65.504877 }, //19 February 2008, UT1-UTC=-0.3208770, Accumulated Leap Seconds=33 + { 2454516.50, 65.505925 }, //20 February 2008, UT1-UTC=-0.3219252, Accumulated Leap Seconds=33 + { 2454517.50, 65.507157 }, //21 February 2008, UT1-UTC=-0.3231568, Accumulated Leap Seconds=33 + { 2454518.50, 65.508496 }, //22 February 2008, UT1-UTC=-0.3244960, Accumulated Leap Seconds=33 + { 2454519.50, 65.509838 }, //23 February 2008, UT1-UTC=-0.3258381, Accumulated Leap Seconds=33 + { 2454520.50, 65.511112 }, //24 February 2008, UT1-UTC=-0.3271121, Accumulated Leap Seconds=33 + { 2454521.50, 65.512287 }, //25 February 2008, UT1-UTC=-0.3282865, Accumulated Leap Seconds=33 + { 2454522.50, 65.513282 }, //26 February 2008, UT1-UTC=-0.3292819, Accumulated Leap Seconds=33 + { 2454523.50, 65.514057 }, //27 February 2008, UT1-UTC=-0.3300575, Accumulated Leap Seconds=33 + { 2454524.50, 65.514609 }, //28 February 2008, UT1-UTC=-0.3306086, Accumulated Leap Seconds=33 + { 2454525.50, 65.514968 }, //29 February 2008, UT1-UTC=-0.3309683, Accumulated Leap Seconds=33 + { 2454526.50, 65.515201 }, //01 March 2008, UT1-UTC=-0.3312012, Accumulated Leap Seconds=33 + { 2454527.50, 65.515436 }, //02 March 2008, UT1-UTC=-0.3314358, Accumulated Leap Seconds=33 + { 2454528.50, 65.515782 }, //03 March 2008, UT1-UTC=-0.3317821, Accumulated Leap Seconds=33 + { 2454529.50, 65.516240 }, //04 March 2008, UT1-UTC=-0.3322401, Accumulated Leap Seconds=33 + { 2454530.50, 65.516968 }, //05 March 2008, UT1-UTC=-0.3329681, Accumulated Leap Seconds=33 + { 2454531.50, 65.517990 }, //06 March 2008, UT1-UTC=-0.3339902, Accumulated Leap Seconds=33 + { 2454532.50, 65.519268 }, //07 March 2008, UT1-UTC=-0.3352683, Accumulated Leap Seconds=33 + { 2454533.50, 65.520755 }, //08 March 2008, UT1-UTC=-0.3367549, Accumulated Leap Seconds=33 + { 2454534.50, 65.522335 }, //09 March 2008, UT1-UTC=-0.3383351, Accumulated Leap Seconds=33 + { 2454535.50, 65.523810 }, //10 March 2008, UT1-UTC=-0.3398101, Accumulated Leap Seconds=33 + { 2454536.50, 65.525083 }, //11 March 2008, UT1-UTC=-0.3410830, Accumulated Leap Seconds=33 + { 2454537.50, 65.526085 }, //12 March 2008, UT1-UTC=-0.3420846, Accumulated Leap Seconds=33 + { 2454538.50, 65.526812 }, //13 March 2008, UT1-UTC=-0.3428122, Accumulated Leap Seconds=33 + { 2454539.50, 65.527333 }, //14 March 2008, UT1-UTC=-0.3433331, Accumulated Leap Seconds=33 + { 2454540.50, 65.527770 }, //15 March 2008, UT1-UTC=-0.3437704, Accumulated Leap Seconds=33 + { 2454541.50, 65.528277 }, //16 March 2008, UT1-UTC=-0.3442772, Accumulated Leap Seconds=33 + { 2454542.50, 65.528937 }, //17 March 2008, UT1-UTC=-0.3449369, Accumulated Leap Seconds=33 + { 2454543.50, 65.529811 }, //18 March 2008, UT1-UTC=-0.3458107, Accumulated Leap Seconds=33 + { 2454544.50, 65.530964 }, //19 March 2008, UT1-UTC=-0.3469636, Accumulated Leap Seconds=33 + { 2454545.50, 65.532300 }, //20 March 2008, UT1-UTC=-0.3483000, Accumulated Leap Seconds=33 + { 2454546.50, 65.533718 }, //21 March 2008, UT1-UTC=-0.3497181, Accumulated Leap Seconds=33 + { 2454547.50, 65.535215 }, //22 March 2008, UT1-UTC=-0.3512150, Accumulated Leap Seconds=33 + { 2454548.50, 65.536666 }, //23 March 2008, UT1-UTC=-0.3526664, Accumulated Leap Seconds=33 + { 2454549.50, 65.538036 }, //24 March 2008, UT1-UTC=-0.3540362, Accumulated Leap Seconds=33 + { 2454550.50, 65.539276 }, //25 March 2008, UT1-UTC=-0.3552761, Accumulated Leap Seconds=33 + { 2454551.50, 65.540342 }, //26 March 2008, UT1-UTC=-0.3563422, Accumulated Leap Seconds=33 + { 2454552.50, 65.541226 }, //27 March 2008, UT1-UTC=-0.3572263, Accumulated Leap Seconds=33 + { 2454553.50, 65.541962 }, //28 March 2008, UT1-UTC=-0.3579623, Accumulated Leap Seconds=33 + { 2454554.50, 65.542599 }, //29 March 2008, UT1-UTC=-0.3585988, Accumulated Leap Seconds=33 + { 2454555.50, 65.543254 }, //30 March 2008, UT1-UTC=-0.3592544, Accumulated Leap Seconds=33 + { 2454556.50, 65.544024 }, //31 March 2008, UT1-UTC=-0.3600236, Accumulated Leap Seconds=33 + { 2454557.50, 65.544992 }, //01 April 2008, UT1-UTC=-0.3609916, Accumulated Leap Seconds=33 + { 2454558.50, 65.546178 }, //02 April 2008, UT1-UTC=-0.3621785, Accumulated Leap Seconds=33 + { 2454559.50, 65.547636 }, //03 April 2008, UT1-UTC=-0.3636364, Accumulated Leap Seconds=33 + { 2454560.50, 65.549282 }, //04 April 2008, UT1-UTC=-0.3652822, Accumulated Leap Seconds=33 + { 2454561.50, 65.551120 }, //05 April 2008, UT1-UTC=-0.3671200, Accumulated Leap Seconds=33 + { 2454562.50, 65.553045 }, //06 April 2008, UT1-UTC=-0.3690451, Accumulated Leap Seconds=33 + { 2454563.50, 65.554804 }, //07 April 2008, UT1-UTC=-0.3708038, Accumulated Leap Seconds=33 + { 2454564.50, 65.556212 }, //08 April 2008, UT1-UTC=-0.3722121, Accumulated Leap Seconds=33 + { 2454565.50, 65.557278 }, //09 April 2008, UT1-UTC=-0.3732783, Accumulated Leap Seconds=33 + { 2454566.50, 65.558045 }, //10 April 2008, UT1-UTC=-0.3740450, Accumulated Leap Seconds=33 + { 2454567.50, 65.558628 }, //11 April 2008, UT1-UTC=-0.3746282, Accumulated Leap Seconds=33 + { 2454568.50, 65.559168 }, //12 April 2008, UT1-UTC=-0.3751680, Accumulated Leap Seconds=33 + { 2454569.50, 65.559775 }, //13 April 2008, UT1-UTC=-0.3757750, Accumulated Leap Seconds=33 + { 2454570.50, 65.560580 }, //14 April 2008, UT1-UTC=-0.3765804, Accumulated Leap Seconds=33 + { 2454571.50, 65.561649 }, //15 April 2008, UT1-UTC=-0.3776493, Accumulated Leap Seconds=33 + { 2454572.50, 65.562911 }, //16 April 2008, UT1-UTC=-0.3789112, Accumulated Leap Seconds=33 + { 2454573.50, 65.564253 }, //17 April 2008, UT1-UTC=-0.3802534, Accumulated Leap Seconds=33 + { 2454574.50, 65.565609 }, //18 April 2008, UT1-UTC=-0.3816095, Accumulated Leap Seconds=33 + { 2454575.50, 65.566934 }, //19 April 2008, UT1-UTC=-0.3829337, Accumulated Leap Seconds=33 + { 2454576.50, 65.568167 }, //20 April 2008, UT1-UTC=-0.3841666, Accumulated Leap Seconds=33 + { 2454577.50, 65.569235 }, //21 April 2008, UT1-UTC=-0.3852347, Accumulated Leap Seconds=33 + { 2454578.50, 65.570156 }, //22 April 2008, UT1-UTC=-0.3861557, Accumulated Leap Seconds=33 + { 2454579.50, 65.570927 }, //23 April 2008, UT1-UTC=-0.3869274, Accumulated Leap Seconds=33 + { 2454580.50, 65.571595 }, //24 April 2008, UT1-UTC=-0.3875950, Accumulated Leap Seconds=33 + { 2454581.50, 65.572199 }, //25 April 2008, UT1-UTC=-0.3881989, Accumulated Leap Seconds=33 + { 2454582.50, 65.572769 }, //26 April 2008, UT1-UTC=-0.3887692, Accumulated Leap Seconds=33 + { 2454583.50, 65.573394 }, //27 April 2008, UT1-UTC=-0.3893942, Accumulated Leap Seconds=33 + { 2454584.50, 65.574199 }, //28 April 2008, UT1-UTC=-0.3901987, Accumulated Leap Seconds=33 + { 2454585.50, 65.575215 }, //29 April 2008, UT1-UTC=-0.3912154, Accumulated Leap Seconds=33 + { 2454586.50, 65.576511 }, //30 April 2008, UT1-UTC=-0.3925115, Accumulated Leap Seconds=33 + { 2454587.50, 65.578077 }, //01 May 2008, UT1-UTC=-0.3940768, Accumulated Leap Seconds=33 + { 2454588.50, 65.579780 }, //02 May 2008, UT1-UTC=-0.3957801, Accumulated Leap Seconds=33 + { 2454589.50, 65.581614 }, //03 May 2008, UT1-UTC=-0.3976139, Accumulated Leap Seconds=33 + { 2454590.50, 65.583463 }, //04 May 2008, UT1-UTC=-0.3994632, Accumulated Leap Seconds=33 + { 2454591.50, 65.585147 }, //05 May 2008, UT1-UTC=-0.4011471, Accumulated Leap Seconds=33 + { 2454592.50, 65.586571 }, //06 May 2008, UT1-UTC=-0.4025710, Accumulated Leap Seconds=33 + { 2454593.50, 65.587662 }, //07 May 2008, UT1-UTC=-0.4036620, Accumulated Leap Seconds=33 + { 2454594.50, 65.588556 }, //08 May 2008, UT1-UTC=-0.4045560, Accumulated Leap Seconds=33 + { 2454595.50, 65.589414 }, //09 May 2008, UT1-UTC=-0.4054143, Accumulated Leap Seconds=33 + { 2454596.50, 65.590353 }, //10 May 2008, UT1-UTC=-0.4063530, Accumulated Leap Seconds=33 + { 2454597.50, 65.591479 }, //11 May 2008, UT1-UTC=-0.4074787, Accumulated Leap Seconds=33 + { 2454598.50, 65.592878 }, //12 May 2008, UT1-UTC=-0.4088775, Accumulated Leap Seconds=33 + { 2454599.50, 65.594467 }, //13 May 2008, UT1-UTC=-0.4104669, Accumulated Leap Seconds=33 + { 2454600.50, 65.596139 }, //14 May 2008, UT1-UTC=-0.4121390, Accumulated Leap Seconds=33 + { 2454601.50, 65.597811 }, //15 May 2008, UT1-UTC=-0.4138108, Accumulated Leap Seconds=33 + { 2454602.50, 65.599407 }, //16 May 2008, UT1-UTC=-0.4154074, Accumulated Leap Seconds=33 + { 2454603.50, 65.600828 }, //17 May 2008, UT1-UTC=-0.4168283, Accumulated Leap Seconds=33 + { 2454604.50, 65.602013 }, //18 May 2008, UT1-UTC=-0.4180126, Accumulated Leap Seconds=33 + { 2454605.50, 65.603016 }, //19 May 2008, UT1-UTC=-0.4190159, Accumulated Leap Seconds=33 + { 2454606.50, 65.603810 }, //20 May 2008, UT1-UTC=-0.4198097, Accumulated Leap Seconds=33 + { 2454607.50, 65.604363 }, //21 May 2008, UT1-UTC=-0.4203632, Accumulated Leap Seconds=33 + { 2454608.50, 65.604738 }, //22 May 2008, UT1-UTC=-0.4207380, Accumulated Leap Seconds=33 + { 2454609.50, 65.605030 }, //23 May 2008, UT1-UTC=-0.4210295, Accumulated Leap Seconds=33 + { 2454610.50, 65.605325 }, //24 May 2008, UT1-UTC=-0.4213254, Accumulated Leap Seconds=33 + { 2454611.50, 65.605721 }, //25 May 2008, UT1-UTC=-0.4217205, Accumulated Leap Seconds=33 + { 2454612.50, 65.606294 }, //26 May 2008, UT1-UTC=-0.4222936, Accumulated Leap Seconds=33 + { 2454613.50, 65.607071 }, //27 May 2008, UT1-UTC=-0.4230707, Accumulated Leap Seconds=33 + { 2454614.50, 65.608022 }, //28 May 2008, UT1-UTC=-0.4240223, Accumulated Leap Seconds=33 + { 2454615.50, 65.609129 }, //29 May 2008, UT1-UTC=-0.4251295, Accumulated Leap Seconds=33 + { 2454616.50, 65.610350 }, //30 May 2008, UT1-UTC=-0.4263505, Accumulated Leap Seconds=33 + { 2454617.50, 65.611594 }, //31 May 2008, UT1-UTC=-0.4275942, Accumulated Leap Seconds=33 + { 2454618.50, 65.612728 }, //01 June 2008, UT1-UTC=-0.4287280, Accumulated Leap Seconds=33 + { 2454619.50, 65.613673 }, //02 June 2008, UT1-UTC=-0.4296730, Accumulated Leap Seconds=33 + { 2454620.50, 65.614332 }, //03 June 2008, UT1-UTC=-0.4303320, Accumulated Leap Seconds=33 + { 2454621.50, 65.614767 }, //04 June 2008, UT1-UTC=-0.4307670, Accumulated Leap Seconds=33 + { 2454622.50, 65.615090 }, //05 June 2008, UT1-UTC=-0.4310902, Accumulated Leap Seconds=33 + { 2454623.50, 65.615440 }, //06 June 2008, UT1-UTC=-0.4314399, Accumulated Leap Seconds=33 + { 2454624.50, 65.615902 }, //07 June 2008, UT1-UTC=-0.4319020, Accumulated Leap Seconds=33 + { 2454625.50, 65.616529 }, //08 June 2008, UT1-UTC=-0.4325288, Accumulated Leap Seconds=33 + { 2454626.50, 65.617315 }, //09 June 2008, UT1-UTC=-0.4333150, Accumulated Leap Seconds=33 + { 2454627.50, 65.618258 }, //10 June 2008, UT1-UTC=-0.4342579, Accumulated Leap Seconds=33 + { 2454628.50, 65.619266 }, //11 June 2008, UT1-UTC=-0.4352663, Accumulated Leap Seconds=33 + { 2454629.50, 65.620183 }, //12 June 2008, UT1-UTC=-0.4361835, Accumulated Leap Seconds=33 + { 2454630.50, 65.620931 }, //13 June 2008, UT1-UTC=-0.4369308, Accumulated Leap Seconds=33 + { 2454631.50, 65.621492 }, //14 June 2008, UT1-UTC=-0.4374919, Accumulated Leap Seconds=33 + { 2454632.50, 65.621821 }, //15 June 2008, UT1-UTC=-0.4378213, Accumulated Leap Seconds=33 + { 2454633.50, 65.621989 }, //16 June 2008, UT1-UTC=-0.4379886, Accumulated Leap Seconds=33 + { 2454634.50, 65.622060 }, //17 June 2008, UT1-UTC=-0.4380601, Accumulated Leap Seconds=33 + { 2454635.50, 65.622026 }, //18 June 2008, UT1-UTC=-0.4380263, Accumulated Leap Seconds=33 + { 2454636.50, 65.621951 }, //19 June 2008, UT1-UTC=-0.4379508, Accumulated Leap Seconds=33 + { 2454637.50, 65.621902 }, //20 June 2008, UT1-UTC=-0.4379019, Accumulated Leap Seconds=33 + { 2454638.50, 65.621909 }, //21 June 2008, UT1-UTC=-0.4379087, Accumulated Leap Seconds=33 + { 2454639.50, 65.622096 }, //22 June 2008, UT1-UTC=-0.4380958, Accumulated Leap Seconds=33 + { 2454640.50, 65.622520 }, //23 June 2008, UT1-UTC=-0.4385196, Accumulated Leap Seconds=33 + { 2454641.50, 65.623194 }, //24 June 2008, UT1-UTC=-0.4391943, Accumulated Leap Seconds=33 + { 2454642.50, 65.624063 }, //25 June 2008, UT1-UTC=-0.4400628, Accumulated Leap Seconds=33 + { 2454643.50, 65.625033 }, //26 June 2008, UT1-UTC=-0.4410332, Accumulated Leap Seconds=33 + { 2454644.50, 65.626062 }, //27 June 2008, UT1-UTC=-0.4420623, Accumulated Leap Seconds=33 + { 2454645.50, 65.626981 }, //28 June 2008, UT1-UTC=-0.4429814, Accumulated Leap Seconds=33 + { 2454646.50, 65.627770 }, //29 June 2008, UT1-UTC=-0.4437703, Accumulated Leap Seconds=33 + { 2454647.50, 65.628380 }, //30 June 2008, UT1-UTC=-0.4443796, Accumulated Leap Seconds=33 + { 2454648.50, 65.628750 }, //01 July 2008, UT1-UTC=-0.4447505, Accumulated Leap Seconds=33 + { 2454649.50, 65.628936 }, //02 July 2008, UT1-UTC=-0.4449365, Accumulated Leap Seconds=33 + { 2454650.50, 65.629080 }, //03 July 2008, UT1-UTC=-0.4450798, Accumulated Leap Seconds=33 + { 2454651.50, 65.629356 }, //04 July 2008, UT1-UTC=-0.4453557, Accumulated Leap Seconds=33 + { 2454652.50, 65.629826 }, //05 July 2008, UT1-UTC=-0.4458260, Accumulated Leap Seconds=33 + { 2454653.50, 65.630466 }, //06 July 2008, UT1-UTC=-0.4464665, Accumulated Leap Seconds=33 + { 2454654.50, 65.631246 }, //07 July 2008, UT1-UTC=-0.4472457, Accumulated Leap Seconds=33 + { 2454655.50, 65.632063 }, //08 July 2008, UT1-UTC=-0.4480625, Accumulated Leap Seconds=33 + { 2454656.50, 65.632747 }, //09 July 2008, UT1-UTC=-0.4487466, Accumulated Leap Seconds=33 + { 2454657.50, 65.633324 }, //10 July 2008, UT1-UTC=-0.4493235, Accumulated Leap Seconds=33 + { 2454658.50, 65.633727 }, //11 July 2008, UT1-UTC=-0.4497275, Accumulated Leap Seconds=33 + { 2454659.50, 65.633868 }, //12 July 2008, UT1-UTC=-0.4498679, Accumulated Leap Seconds=33 + { 2454660.50, 65.633781 }, //13 July 2008, UT1-UTC=-0.4497806, Accumulated Leap Seconds=33 + { 2454661.50, 65.633538 }, //14 July 2008, UT1-UTC=-0.4495377, Accumulated Leap Seconds=33 + { 2454662.50, 65.633185 }, //15 July 2008, UT1-UTC=-0.4491848, Accumulated Leap Seconds=33 + { 2454663.50, 65.632772 }, //16 July 2008, UT1-UTC=-0.4487718, Accumulated Leap Seconds=33 + { 2454664.50, 65.632403 }, //17 July 2008, UT1-UTC=-0.4484031, Accumulated Leap Seconds=33 + { 2454665.50, 65.632161 }, //18 July 2008, UT1-UTC=-0.4481609, Accumulated Leap Seconds=33 + { 2454666.50, 65.632067 }, //19 July 2008, UT1-UTC=-0.4480668, Accumulated Leap Seconds=33 + { 2454667.50, 65.632194 }, //20 July 2008, UT1-UTC=-0.4481945, Accumulated Leap Seconds=33 + { 2454668.50, 65.632612 }, //21 July 2008, UT1-UTC=-0.4486120, Accumulated Leap Seconds=33 + { 2454669.50, 65.633227 }, //22 July 2008, UT1-UTC=-0.4492268, Accumulated Leap Seconds=33 + { 2454670.50, 65.633946 }, //23 July 2008, UT1-UTC=-0.4499465, Accumulated Leap Seconds=33 + { 2454671.50, 65.634717 }, //24 July 2008, UT1-UTC=-0.4507169, Accumulated Leap Seconds=33 + { 2454672.50, 65.635469 }, //25 July 2008, UT1-UTC=-0.4514691, Accumulated Leap Seconds=33 + { 2454673.50, 65.636101 }, //26 July 2008, UT1-UTC=-0.4521011, Accumulated Leap Seconds=33 + { 2454674.50, 65.636516 }, //27 July 2008, UT1-UTC=-0.4525161, Accumulated Leap Seconds=33 + { 2454675.50, 65.636714 }, //28 July 2008, UT1-UTC=-0.4527138, Accumulated Leap Seconds=33 + { 2454676.50, 65.636769 }, //29 July 2008, UT1-UTC=-0.4527693, Accumulated Leap Seconds=33 + { 2454677.50, 65.636734 }, //30 July 2008, UT1-UTC=-0.4527343, Accumulated Leap Seconds=33 + { 2454678.50, 65.636792 }, //31 July 2008, UT1-UTC=-0.4527922, Accumulated Leap Seconds=33 + { 2454679.50, 65.637009 }, //01 August 2008, UT1-UTC=-0.4530091, Accumulated Leap Seconds=33 + { 2454680.50, 65.637439 }, //02 August 2008, UT1-UTC=-0.4534390, Accumulated Leap Seconds=33 + { 2454681.50, 65.638051 }, //03 August 2008, UT1-UTC=-0.4540511, Accumulated Leap Seconds=33 + { 2454682.50, 65.638839 }, //04 August 2008, UT1-UTC=-0.4548394, Accumulated Leap Seconds=33 + { 2454683.50, 65.639626 }, //05 August 2008, UT1-UTC=-0.4556265, Accumulated Leap Seconds=33 + { 2454684.50, 65.640292 }, //06 August 2008, UT1-UTC=-0.4562919, Accumulated Leap Seconds=33 + { 2454685.50, 65.640804 }, //07 August 2008, UT1-UTC=-0.4568038, Accumulated Leap Seconds=33 + { 2454686.50, 65.641136 }, //08 August 2008, UT1-UTC=-0.4571358, Accumulated Leap Seconds=33 + { 2454687.50, 65.641279 }, //09 August 2008, UT1-UTC=-0.4572793, Accumulated Leap Seconds=33 + { 2454688.50, 65.641273 }, //10 August 2008, UT1-UTC=-0.4572728, Accumulated Leap Seconds=33 + { 2454689.50, 65.641143 }, //11 August 2008, UT1-UTC=-0.4571428, Accumulated Leap Seconds=33 + { 2454690.50, 65.640931 }, //12 August 2008, UT1-UTC=-0.4569308, Accumulated Leap Seconds=33 + { 2454691.50, 65.640718 }, //13 August 2008, UT1-UTC=-0.4567183, Accumulated Leap Seconds=33 + { 2454692.50, 65.640597 }, //14 August 2008, UT1-UTC=-0.4565975, Accumulated Leap Seconds=33 + { 2454693.50, 65.640612 }, //15 August 2008, UT1-UTC=-0.4566119, Accumulated Leap Seconds=33 + { 2454694.50, 65.640800 }, //16 August 2008, UT1-UTC=-0.4568004, Accumulated Leap Seconds=33 + { 2454695.50, 65.641147 }, //17 August 2008, UT1-UTC=-0.4571473, Accumulated Leap Seconds=33 + { 2454696.50, 65.641712 }, //18 August 2008, UT1-UTC=-0.4577121, Accumulated Leap Seconds=33 + { 2454697.50, 65.642462 }, //19 August 2008, UT1-UTC=-0.4584618, Accumulated Leap Seconds=33 + { 2454698.50, 65.643322 }, //20 August 2008, UT1-UTC=-0.4593217, Accumulated Leap Seconds=33 + { 2454699.50, 65.644135 }, //21 August 2008, UT1-UTC=-0.4601349, Accumulated Leap Seconds=33 + { 2454700.50, 65.644780 }, //22 August 2008, UT1-UTC=-0.4607799, Accumulated Leap Seconds=33 + { 2454701.50, 65.645245 }, //23 August 2008, UT1-UTC=-0.4612450, Accumulated Leap Seconds=33 + { 2454702.50, 65.645491 }, //24 August 2008, UT1-UTC=-0.4614906, Accumulated Leap Seconds=33 + { 2454703.50, 65.645579 }, //25 August 2008, UT1-UTC=-0.4615794, Accumulated Leap Seconds=33 + { 2454704.50, 65.645635 }, //26 August 2008, UT1-UTC=-0.4616352, Accumulated Leap Seconds=33 + { 2454705.50, 65.645766 }, //27 August 2008, UT1-UTC=-0.4617661, Accumulated Leap Seconds=33 + { 2454706.50, 65.646055 }, //28 August 2008, UT1-UTC=-0.4620553, Accumulated Leap Seconds=33 + { 2454707.50, 65.646540 }, //29 August 2008, UT1-UTC=-0.4625399, Accumulated Leap Seconds=33 + { 2454708.50, 65.647315 }, //30 August 2008, UT1-UTC=-0.4633152, Accumulated Leap Seconds=33 + { 2454709.50, 65.648280 }, //31 August 2008, UT1-UTC=-0.4642801, Accumulated Leap Seconds=33 + { 2454710.50, 65.649338 }, //01 September 2008, UT1-UTC=-0.4653375, Accumulated Leap Seconds=33 + { 2454711.50, 65.650393 }, //02 September 2008, UT1-UTC=-0.4663928, Accumulated Leap Seconds=33 + { 2454712.50, 65.651280 }, //03 September 2008, UT1-UTC=-0.4672797, Accumulated Leap Seconds=33 + { 2454713.50, 65.651959 }, //04 September 2008, UT1-UTC=-0.4679589, Accumulated Leap Seconds=33 + { 2454714.50, 65.652480 }, //05 September 2008, UT1-UTC=-0.4684798, Accumulated Leap Seconds=33 + { 2454715.50, 65.652781 }, //06 September 2008, UT1-UTC=-0.4687813, Accumulated Leap Seconds=33 + { 2454716.50, 65.652961 }, //07 September 2008, UT1-UTC=-0.4689610, Accumulated Leap Seconds=33 + { 2454717.50, 65.653082 }, //08 September 2008, UT1-UTC=-0.4690819, Accumulated Leap Seconds=33 + { 2454718.50, 65.653201 }, //09 September 2008, UT1-UTC=-0.4692015, Accumulated Leap Seconds=33 + { 2454719.50, 65.653446 }, //10 September 2008, UT1-UTC=-0.4694463, Accumulated Leap Seconds=33 + { 2454720.50, 65.653848 }, //11 September 2008, UT1-UTC=-0.4698483, Accumulated Leap Seconds=33 + { 2454721.50, 65.654478 }, //12 September 2008, UT1-UTC=-0.4704784, Accumulated Leap Seconds=33 + { 2454722.50, 65.655409 }, //13 September 2008, UT1-UTC=-0.4714086, Accumulated Leap Seconds=33 + { 2454723.50, 65.656632 }, //14 September 2008, UT1-UTC=-0.4726317, Accumulated Leap Seconds=33 + { 2454724.50, 65.658095 }, //15 September 2008, UT1-UTC=-0.4740946, Accumulated Leap Seconds=33 + { 2454725.50, 65.659709 }, //16 September 2008, UT1-UTC=-0.4757093, Accumulated Leap Seconds=33 + { 2454726.50, 65.661329 }, //17 September 2008, UT1-UTC=-0.4773286, Accumulated Leap Seconds=33 + { 2454727.50, 65.662799 }, //18 September 2008, UT1-UTC=-0.4787992, Accumulated Leap Seconds=33 + { 2454728.50, 65.664021 }, //19 September 2008, UT1-UTC=-0.4800210, Accumulated Leap Seconds=33 + { 2454729.50, 65.664986 }, //20 September 2008, UT1-UTC=-0.4809865, Accumulated Leap Seconds=33 + { 2454730.50, 65.665685 }, //21 September 2008, UT1-UTC=-0.4816851, Accumulated Leap Seconds=33 + { 2454731.50, 65.666262 }, //22 September 2008, UT1-UTC=-0.4822619, Accumulated Leap Seconds=33 + { 2454732.50, 65.666856 }, //23 September 2008, UT1-UTC=-0.4828561, Accumulated Leap Seconds=33 + { 2454733.50, 65.667503 }, //24 September 2008, UT1-UTC=-0.4835035, Accumulated Leap Seconds=33 + { 2454734.50, 65.668302 }, //25 September 2008, UT1-UTC=-0.4843018, Accumulated Leap Seconds=33 + { 2454735.50, 65.669365 }, //26 September 2008, UT1-UTC=-0.4853648, Accumulated Leap Seconds=33 + { 2454736.50, 65.670614 }, //27 September 2008, UT1-UTC=-0.4866135, Accumulated Leap Seconds=33 + { 2454737.50, 65.671984 }, //28 September 2008, UT1-UTC=-0.4879836, Accumulated Leap Seconds=33 + { 2454738.50, 65.673419 }, //29 September 2008, UT1-UTC=-0.4894192, Accumulated Leap Seconds=33 + { 2454739.50, 65.674784 }, //30 September 2008, UT1-UTC=-0.4907835, Accumulated Leap Seconds=33 + { 2454740.50, 65.675993 }, //01 October 2008, UT1-UTC=-0.4919928, Accumulated Leap Seconds=33 + { 2454741.50, 65.676992 }, //02 October 2008, UT1-UTC=-0.4929921, Accumulated Leap Seconds=33 + { 2454742.50, 65.677745 }, //03 October 2008, UT1-UTC=-0.4937449, Accumulated Leap Seconds=33 + { 2454743.50, 65.678285 }, //04 October 2008, UT1-UTC=-0.4942848, Accumulated Leap Seconds=33 + { 2454744.50, 65.678678 }, //05 October 2008, UT1-UTC=-0.4946776, Accumulated Leap Seconds=33 + { 2454745.50, 65.679025 }, //06 October 2008, UT1-UTC=-0.4950251, Accumulated Leap Seconds=33 + { 2454746.50, 65.679358 }, //07 October 2008, UT1-UTC=-0.4953584, Accumulated Leap Seconds=33 + { 2454747.50, 65.679836 }, //08 October 2008, UT1-UTC=-0.4958358, Accumulated Leap Seconds=33 + { 2454748.50, 65.680510 }, //09 October 2008, UT1-UTC=-0.4965102, Accumulated Leap Seconds=33 + { 2454749.50, 65.681413 }, //10 October 2008, UT1-UTC=-0.4974134, Accumulated Leap Seconds=33 + { 2454750.50, 65.682549 }, //11 October 2008, UT1-UTC=-0.4985488, Accumulated Leap Seconds=33 + { 2454751.50, 65.683912 }, //12 October 2008, UT1-UTC=-0.4999116, Accumulated Leap Seconds=33 + { 2454752.50, 65.685435 }, //13 October 2008, UT1-UTC=-0.5014348, Accumulated Leap Seconds=33 + { 2454753.50, 65.687033 }, //14 October 2008, UT1-UTC=-0.5030326, Accumulated Leap Seconds=33 + { 2454754.50, 65.688535 }, //15 October 2008, UT1-UTC=-0.5045348, Accumulated Leap Seconds=33 + { 2454755.50, 65.689923 }, //16 October 2008, UT1-UTC=-0.5059233, Accumulated Leap Seconds=33 + { 2454756.50, 65.691136 }, //17 October 2008, UT1-UTC=-0.5071357, Accumulated Leap Seconds=33 + { 2454757.50, 65.692155 }, //18 October 2008, UT1-UTC=-0.5081548, Accumulated Leap Seconds=33 + { 2454758.50, 65.693054 }, //19 October 2008, UT1-UTC=-0.5090541, Accumulated Leap Seconds=33 + { 2454759.50, 65.694026 }, //20 October 2008, UT1-UTC=-0.5100264, Accumulated Leap Seconds=33 + { 2454760.50, 65.695112 }, //21 October 2008, UT1-UTC=-0.5111122, Accumulated Leap Seconds=33 + { 2454761.50, 65.696328 }, //22 October 2008, UT1-UTC=-0.5123276, Accumulated Leap Seconds=33 + { 2454762.50, 65.697729 }, //23 October 2008, UT1-UTC=-0.5137295, Accumulated Leap Seconds=33 + { 2454763.50, 65.699322 }, //24 October 2008, UT1-UTC=-0.5153218, Accumulated Leap Seconds=33 + { 2454764.50, 65.700978 }, //25 October 2008, UT1-UTC=-0.5169776, Accumulated Leap Seconds=33 + { 2454765.50, 65.702620 }, //26 October 2008, UT1-UTC=-0.5186202, Accumulated Leap Seconds=33 + { 2454766.50, 65.704212 }, //27 October 2008, UT1-UTC=-0.5202121, Accumulated Leap Seconds=33 + { 2454767.50, 65.705696 }, //28 October 2008, UT1-UTC=-0.5216963, Accumulated Leap Seconds=33 + { 2454768.50, 65.706999 }, //29 October 2008, UT1-UTC=-0.5229987, Accumulated Leap Seconds=33 + { 2454769.50, 65.708071 }, //30 October 2008, UT1-UTC=-0.5240711, Accumulated Leap Seconds=33 + { 2454770.50, 65.708951 }, //31 October 2008, UT1-UTC=-0.5249506, Accumulated Leap Seconds=33 + { 2454771.50, 65.709697 }, //01 November 2008, UT1-UTC=-0.5256966, Accumulated Leap Seconds=33 + { 2454772.50, 65.710309 }, //02 November 2008, UT1-UTC=-0.5263089, Accumulated Leap Seconds=33 + { 2454773.50, 65.710927 }, //03 November 2008, UT1-UTC=-0.5269267, Accumulated Leap Seconds=33 + { 2454774.50, 65.711591 }, //04 November 2008, UT1-UTC=-0.5275908, Accumulated Leap Seconds=33 + { 2454775.50, 65.712302 }, //05 November 2008, UT1-UTC=-0.5283016, Accumulated Leap Seconds=33 + { 2454776.50, 65.713143 }, //06 November 2008, UT1-UTC=-0.5291431, Accumulated Leap Seconds=33 + { 2454777.50, 65.714182 }, //07 November 2008, UT1-UTC=-0.5301816, Accumulated Leap Seconds=33 + { 2454778.50, 65.715430 }, //08 November 2008, UT1-UTC=-0.5314301, Accumulated Leap Seconds=33 + { 2454779.50, 65.716882 }, //09 November 2008, UT1-UTC=-0.5328820, Accumulated Leap Seconds=33 + { 2454780.50, 65.718505 }, //10 November 2008, UT1-UTC=-0.5345047, Accumulated Leap Seconds=33 + { 2454781.50, 65.720180 }, //11 November 2008, UT1-UTC=-0.5361795, Accumulated Leap Seconds=33 + { 2454782.50, 65.721797 }, //12 November 2008, UT1-UTC=-0.5377971, Accumulated Leap Seconds=33 + { 2454783.50, 65.723194 }, //13 November 2008, UT1-UTC=-0.5391942, Accumulated Leap Seconds=33 + { 2454784.50, 65.724310 }, //14 November 2008, UT1-UTC=-0.5403097, Accumulated Leap Seconds=33 + { 2454785.50, 65.725169 }, //15 November 2008, UT1-UTC=-0.5411691, Accumulated Leap Seconds=33 + { 2454786.50, 65.725924 }, //16 November 2008, UT1-UTC=-0.5419239, Accumulated Leap Seconds=33 + { 2454787.50, 65.726770 }, //17 November 2008, UT1-UTC=-0.5427698, Accumulated Leap Seconds=33 + { 2454788.50, 65.727856 }, //18 November 2008, UT1-UTC=-0.5438561, Accumulated Leap Seconds=33 + { 2454789.50, 65.729269 }, //19 November 2008, UT1-UTC=-0.5452686, Accumulated Leap Seconds=33 + { 2454790.50, 65.730932 }, //20 November 2008, UT1-UTC=-0.5469323, Accumulated Leap Seconds=33 + { 2454791.50, 65.732762 }, //21 November 2008, UT1-UTC=-0.5487621, Accumulated Leap Seconds=33 + { 2454792.50, 65.734643 }, //22 November 2008, UT1-UTC=-0.5506431, Accumulated Leap Seconds=33 + { 2454793.50, 65.736470 }, //23 November 2008, UT1-UTC=-0.5524701, Accumulated Leap Seconds=33 + { 2454794.50, 65.738167 }, //24 November 2008, UT1-UTC=-0.5541669, Accumulated Leap Seconds=33 + { 2454795.50, 65.739704 }, //25 November 2008, UT1-UTC=-0.5557042, Accumulated Leap Seconds=33 + { 2454796.50, 65.741070 }, //26 November 2008, UT1-UTC=-0.5570702, Accumulated Leap Seconds=33 + { 2454797.50, 65.742314 }, //27 November 2008, UT1-UTC=-0.5583143, Accumulated Leap Seconds=33 + { 2454798.50, 65.743388 }, //28 November 2008, UT1-UTC=-0.5593880, Accumulated Leap Seconds=33 + { 2454799.50, 65.744333 }, //29 November 2008, UT1-UTC=-0.5603332, Accumulated Leap Seconds=33 + { 2454800.50, 65.745201 }, //30 November 2008, UT1-UTC=-0.5612014, Accumulated Leap Seconds=33 + { 2454801.50, 65.746092 }, //01 December 2008, UT1-UTC=-0.5620920, Accumulated Leap Seconds=33 + { 2454802.50, 65.747064 }, //02 December 2008, UT1-UTC=-0.5630643, Accumulated Leap Seconds=33 + { 2454803.50, 65.748118 }, //03 December 2008, UT1-UTC=-0.5641177, Accumulated Leap Seconds=33 + { 2454804.50, 65.749290 }, //04 December 2008, UT1-UTC=-0.5652902, Accumulated Leap Seconds=33 + { 2454805.50, 65.750647 }, //05 December 2008, UT1-UTC=-0.5666473, Accumulated Leap Seconds=33 + { 2454806.50, 65.752187 }, //06 December 2008, UT1-UTC=-0.5681873, Accumulated Leap Seconds=33 + { 2454807.50, 65.753830 }, //07 December 2008, UT1-UTC=-0.5698301, Accumulated Leap Seconds=33 + { 2454808.50, 65.755519 }, //08 December 2008, UT1-UTC=-0.5715190, Accumulated Leap Seconds=33 + { 2454809.50, 65.757121 }, //09 December 2008, UT1-UTC=-0.5731210, Accumulated Leap Seconds=33 + { 2454810.50, 65.758494 }, //10 December 2008, UT1-UTC=-0.5744942, Accumulated Leap Seconds=33 + { 2454811.50, 65.759614 }, //11 December 2008, UT1-UTC=-0.5756138, Accumulated Leap Seconds=33 + { 2454812.50, 65.760487 }, //12 December 2008, UT1-UTC=-0.5764868, Accumulated Leap Seconds=33 + { 2454813.50, 65.761155 }, //13 December 2008, UT1-UTC=-0.5771552, Accumulated Leap Seconds=33 + { 2454814.50, 65.761862 }, //14 December 2008, UT1-UTC=-0.5778624, Accumulated Leap Seconds=33 + { 2454815.50, 65.762761 }, //15 December 2008, UT1-UTC=-0.5787611, Accumulated Leap Seconds=33 + { 2454816.50, 65.763919 }, //16 December 2008, UT1-UTC=-0.5799185, Accumulated Leap Seconds=33 + { 2454817.50, 65.765251 }, //17 December 2008, UT1-UTC=-0.5812507, Accumulated Leap Seconds=33 + { 2454818.50, 65.766668 }, //18 December 2008, UT1-UTC=-0.5826679, Accumulated Leap Seconds=33 + { 2454819.50, 65.768124 }, //19 December 2008, UT1-UTC=-0.5841241, Accumulated Leap Seconds=33 + { 2454820.50, 65.769514 }, //20 December 2008, UT1-UTC=-0.5855142, Accumulated Leap Seconds=33 + { 2454821.50, 65.770736 }, //21 December 2008, UT1-UTC=-0.5867361, Accumulated Leap Seconds=33 + { 2454822.50, 65.771753 }, //22 December 2008, UT1-UTC=-0.5877529, Accumulated Leap Seconds=33 + { 2454823.50, 65.772583 }, //23 December 2008, UT1-UTC=-0.5885829, Accumulated Leap Seconds=33 + { 2454824.50, 65.773212 }, //24 December 2008, UT1-UTC=-0.5892121, Accumulated Leap Seconds=33 + { 2454825.50, 65.773620 }, //25 December 2008, UT1-UTC=-0.5896202, Accumulated Leap Seconds=33 + { 2454826.50, 65.773870 }, //26 December 2008, UT1-UTC=-0.5898703, Accumulated Leap Seconds=33 + { 2454827.50, 65.774062 }, //27 December 2008, UT1-UTC=-0.5900625, Accumulated Leap Seconds=33 + { 2454828.50, 65.774317 }, //28 December 2008, UT1-UTC=-0.5903168, Accumulated Leap Seconds=33 + { 2454829.50, 65.774666 }, //29 December 2008, UT1-UTC=-0.5906664, Accumulated Leap Seconds=33 + { 2454830.50, 65.775150 }, //30 December 2008, UT1-UTC=-0.5911498, Accumulated Leap Seconds=33 + { 2454831.50, 65.775869 }, //31 December 2008, UT1-UTC=-0.5918692, Accumulated Leap Seconds=33 + { 2454832.50, 65.776836 }, //01 January 2009, UT1-UTC= 0.4071638, Accumulated Leap Seconds=34 + { 2454833.50, 65.778016 }, //02 January 2009, UT1-UTC= 0.4059839, Accumulated Leap Seconds=34 + { 2454834.50, 65.779322 }, //03 January 2009, UT1-UTC= 0.4046780, Accumulated Leap Seconds=34 + { 2454835.50, 65.780648 }, //04 January 2009, UT1-UTC= 0.4033522, Accumulated Leap Seconds=34 + { 2454836.50, 65.781926 }, //05 January 2009, UT1-UTC= 0.4020741, Accumulated Leap Seconds=34 + { 2454837.50, 65.783090 }, //06 January 2009, UT1-UTC= 0.4009105, Accumulated Leap Seconds=34 + { 2454838.50, 65.784054 }, //07 January 2009, UT1-UTC= 0.3999456, Accumulated Leap Seconds=34 + { 2454839.50, 65.784773 }, //08 January 2009, UT1-UTC= 0.3992267, Accumulated Leap Seconds=34 + { 2454840.50, 65.785311 }, //09 January 2009, UT1-UTC= 0.3986887, Accumulated Leap Seconds=34 + { 2454841.50, 65.785869 }, //10 January 2009, UT1-UTC= 0.3981312, Accumulated Leap Seconds=34 + { 2454842.50, 65.786543 }, //11 January 2009, UT1-UTC= 0.3974573, Accumulated Leap Seconds=34 + { 2454843.50, 65.787490 }, //12 January 2009, UT1-UTC= 0.3965104, Accumulated Leap Seconds=34 + { 2454844.50, 65.788717 }, //13 January 2009, UT1-UTC= 0.3952828, Accumulated Leap Seconds=34 + { 2454845.50, 65.790148 }, //14 January 2009, UT1-UTC= 0.3938521, Accumulated Leap Seconds=34 + { 2454846.50, 65.791657 }, //15 January 2009, UT1-UTC= 0.3923430, Accumulated Leap Seconds=34 + { 2454847.50, 65.793110 }, //16 January 2009, UT1-UTC= 0.3908897, Accumulated Leap Seconds=34 + { 2454848.50, 65.794383 }, //17 January 2009, UT1-UTC= 0.3896172, Accumulated Leap Seconds=34 + { 2454849.50, 65.795446 }, //18 January 2009, UT1-UTC= 0.3885536, Accumulated Leap Seconds=34 + { 2454850.50, 65.796236 }, //19 January 2009, UT1-UTC= 0.3877636, Accumulated Leap Seconds=34 + { 2454851.50, 65.796748 }, //20 January 2009, UT1-UTC= 0.3872518, Accumulated Leap Seconds=34 + { 2454852.50, 65.797026 }, //21 January 2009, UT1-UTC= 0.3869740, Accumulated Leap Seconds=34 + { 2454853.50, 65.797158 }, //22 January 2009, UT1-UTC= 0.3868424, Accumulated Leap Seconds=34 + { 2454854.50, 65.797213 }, //23 January 2009, UT1-UTC= 0.3867870, Accumulated Leap Seconds=34 + { 2454855.50, 65.797259 }, //24 January 2009, UT1-UTC= 0.3867405, Accumulated Leap Seconds=34 + { 2454856.50, 65.797382 }, //25 January 2009, UT1-UTC= 0.3866180, Accumulated Leap Seconds=34 + { 2454857.50, 65.797671 }, //26 January 2009, UT1-UTC= 0.3863294, Accumulated Leap Seconds=34 + { 2454858.50, 65.798130 }, //27 January 2009, UT1-UTC= 0.3858698, Accumulated Leap Seconds=34 + { 2454859.50, 65.798801 }, //28 January 2009, UT1-UTC= 0.3851985, Accumulated Leap Seconds=34 + { 2454860.50, 65.799632 }, //29 January 2009, UT1-UTC= 0.3843680, Accumulated Leap Seconds=34 + { 2454861.50, 65.800566 }, //30 January 2009, UT1-UTC= 0.3834340, Accumulated Leap Seconds=34 + { 2454862.50, 65.801549 }, //31 January 2009, UT1-UTC= 0.3824508, Accumulated Leap Seconds=34 + { 2454863.50, 65.802461 }, //01 February 2009, UT1-UTC= 0.3815386, Accumulated Leap Seconds=34 + { 2454864.50, 65.803289 }, //02 February 2009, UT1-UTC= 0.3807110, Accumulated Leap Seconds=34 + { 2454865.50, 65.803957 }, //03 February 2009, UT1-UTC= 0.3800428, Accumulated Leap Seconds=34 + { 2454866.50, 65.804490 }, //04 February 2009, UT1-UTC= 0.3795104, Accumulated Leap Seconds=34 + { 2454867.50, 65.804925 }, //05 February 2009, UT1-UTC= 0.3790747, Accumulated Leap Seconds=34 + { 2454868.50, 65.805370 }, //06 February 2009, UT1-UTC= 0.3786300, Accumulated Leap Seconds=34 + { 2454869.50, 65.805909 }, //07 February 2009, UT1-UTC= 0.3780910, Accumulated Leap Seconds=34 + { 2454870.50, 65.806670 }, //08 February 2009, UT1-UTC= 0.3773302, Accumulated Leap Seconds=34 + { 2454871.50, 65.807694 }, //09 February 2009, UT1-UTC= 0.3763064, Accumulated Leap Seconds=34 + { 2454872.50, 65.808978 }, //10 February 2009, UT1-UTC= 0.3750224, Accumulated Leap Seconds=34 + { 2454873.50, 65.810410 }, //11 February 2009, UT1-UTC= 0.3735904, Accumulated Leap Seconds=34 + { 2454874.50, 65.811844 }, //12 February 2009, UT1-UTC= 0.3721556, Accumulated Leap Seconds=34 + { 2454875.50, 65.813116 }, //13 February 2009, UT1-UTC= 0.3708836, Accumulated Leap Seconds=34 + { 2454876.50, 65.814077 }, //14 February 2009, UT1-UTC= 0.3699233, Accumulated Leap Seconds=34 + { 2454877.50, 65.814789 }, //15 February 2009, UT1-UTC= 0.3692112, Accumulated Leap Seconds=34 + { 2454878.50, 65.815322 }, //16 February 2009, UT1-UTC= 0.3686782, Accumulated Leap Seconds=34 + { 2454879.50, 65.815696 }, //17 February 2009, UT1-UTC= 0.3683044, Accumulated Leap Seconds=34 + { 2454880.50, 65.815935 }, //18 February 2009, UT1-UTC= 0.3680654, Accumulated Leap Seconds=34 + { 2454881.50, 65.816082 }, //19 February 2009, UT1-UTC= 0.3679182, Accumulated Leap Seconds=34 + { 2454882.50, 65.816225 }, //20 February 2009, UT1-UTC= 0.3677752, Accumulated Leap Seconds=34 + { 2454883.50, 65.816401 }, //21 February 2009, UT1-UTC= 0.3675990, Accumulated Leap Seconds=34 + { 2454884.50, 65.816665 }, //22 February 2009, UT1-UTC= 0.3673346, Accumulated Leap Seconds=34 + { 2454885.50, 65.817138 }, //23 February 2009, UT1-UTC= 0.3668617, Accumulated Leap Seconds=34 + { 2454886.50, 65.817855 }, //24 February 2009, UT1-UTC= 0.3661446, Accumulated Leap Seconds=34 + { 2454887.50, 65.818787 }, //25 February 2009, UT1-UTC= 0.3652133, Accumulated Leap Seconds=34 + { 2454888.50, 65.819909 }, //26 February 2009, UT1-UTC= 0.3640914, Accumulated Leap Seconds=34 + { 2454889.50, 65.821164 }, //27 February 2009, UT1-UTC= 0.3628361, Accumulated Leap Seconds=34 + { 2454890.50, 65.822441 }, //28 February 2009, UT1-UTC= 0.3615594, Accumulated Leap Seconds=34 + { 2454891.50, 65.823669 }, //01 March 2009, UT1-UTC= 0.3603305, Accumulated Leap Seconds=34 + { 2454892.50, 65.824804 }, //02 March 2009, UT1-UTC= 0.3591963, Accumulated Leap Seconds=34 + { 2454893.50, 65.825806 }, //03 March 2009, UT1-UTC= 0.3581938, Accumulated Leap Seconds=34 + { 2454894.50, 65.826694 }, //04 March 2009, UT1-UTC= 0.3573063, Accumulated Leap Seconds=34 + { 2454895.50, 65.827460 }, //05 March 2009, UT1-UTC= 0.3565404, Accumulated Leap Seconds=34 + { 2454896.50, 65.828220 }, //06 March 2009, UT1-UTC= 0.3557802, Accumulated Leap Seconds=34 + { 2454897.50, 65.829122 }, //07 March 2009, UT1-UTC= 0.3548776, Accumulated Leap Seconds=34 + { 2454898.50, 65.830230 }, //08 March 2009, UT1-UTC= 0.3537698, Accumulated Leap Seconds=34 + { 2454899.50, 65.831611 }, //09 March 2009, UT1-UTC= 0.3523894, Accumulated Leap Seconds=34 + { 2454900.50, 65.833241 }, //10 March 2009, UT1-UTC= 0.3507589, Accumulated Leap Seconds=34 + { 2454901.50, 65.834984 }, //11 March 2009, UT1-UTC= 0.3490158, Accumulated Leap Seconds=34 + { 2454902.50, 65.836713 }, //12 March 2009, UT1-UTC= 0.3472866, Accumulated Leap Seconds=34 + { 2454903.50, 65.838299 }, //13 March 2009, UT1-UTC= 0.3457012, Accumulated Leap Seconds=34 + { 2454904.50, 65.839667 }, //14 March 2009, UT1-UTC= 0.3443332, Accumulated Leap Seconds=34 + { 2454905.50, 65.840803 }, //15 March 2009, UT1-UTC= 0.3431967, Accumulated Leap Seconds=34 + { 2454906.50, 65.841723 }, //16 March 2009, UT1-UTC= 0.3422766, Accumulated Leap Seconds=34 + { 2454907.50, 65.842458 }, //17 March 2009, UT1-UTC= 0.3415421, Accumulated Leap Seconds=34 + { 2454908.50, 65.843073 }, //18 March 2009, UT1-UTC= 0.3409269, Accumulated Leap Seconds=34 + { 2454909.50, 65.843652 }, //19 March 2009, UT1-UTC= 0.3403477, Accumulated Leap Seconds=34 + { 2454910.50, 65.844291 }, //20 March 2009, UT1-UTC= 0.3397094, Accumulated Leap Seconds=34 + { 2454911.50, 65.845067 }, //21 March 2009, UT1-UTC= 0.3389330, Accumulated Leap Seconds=34 + { 2454912.50, 65.846078 }, //22 March 2009, UT1-UTC= 0.3379222, Accumulated Leap Seconds=34 + { 2454913.50, 65.847323 }, //23 March 2009, UT1-UTC= 0.3366767, Accumulated Leap Seconds=34 + { 2454914.50, 65.848777 }, //24 March 2009, UT1-UTC= 0.3352230, Accumulated Leap Seconds=34 + { 2454915.50, 65.850380 }, //25 March 2009, UT1-UTC= 0.3336195, Accumulated Leap Seconds=34 + { 2454916.50, 65.852041 }, //26 March 2009, UT1-UTC= 0.3319592, Accumulated Leap Seconds=34 + { 2454917.50, 65.853701 }, //27 March 2009, UT1-UTC= 0.3302986, Accumulated Leap Seconds=34 + { 2454918.50, 65.855278 }, //28 March 2009, UT1-UTC= 0.3287224, Accumulated Leap Seconds=34 + { 2454919.50, 65.856655 }, //29 March 2009, UT1-UTC= 0.3273451, Accumulated Leap Seconds=34 + { 2454920.50, 65.857787 }, //30 March 2009, UT1-UTC= 0.3262132, Accumulated Leap Seconds=34 + { 2454921.50, 65.858708 }, //31 March 2009, UT1-UTC= 0.3252924, Accumulated Leap Seconds=34 + { 2454922.50, 65.859504 }, //01 April 2009, UT1-UTC= 0.3244964, Accumulated Leap Seconds=34 + { 2454923.50, 65.860291 }, //02 April 2009, UT1-UTC= 0.3237088, Accumulated Leap Seconds=34 + { 2454924.50, 65.861166 }, //03 April 2009, UT1-UTC= 0.3228337, Accumulated Leap Seconds=34 + { 2454925.50, 65.862188 }, //04 April 2009, UT1-UTC= 0.3218122, Accumulated Leap Seconds=34 + { 2454926.50, 65.863386 }, //05 April 2009, UT1-UTC= 0.3206140, Accumulated Leap Seconds=34 + { 2454927.50, 65.864831 }, //06 April 2009, UT1-UTC= 0.3191685, Accumulated Leap Seconds=34 + { 2454928.50, 65.866504 }, //07 April 2009, UT1-UTC= 0.3174956, Accumulated Leap Seconds=34 + { 2454929.50, 65.868283 }, //08 April 2009, UT1-UTC= 0.3157168, Accumulated Leap Seconds=34 + { 2454930.50, 65.870019 }, //09 April 2009, UT1-UTC= 0.3139813, Accumulated Leap Seconds=34 + { 2454931.50, 65.871593 }, //10 April 2009, UT1-UTC= 0.3124073, Accumulated Leap Seconds=34 + { 2454932.50, 65.872977 }, //11 April 2009, UT1-UTC= 0.3110229, Accumulated Leap Seconds=34 + { 2454933.50, 65.874139 }, //12 April 2009, UT1-UTC= 0.3098608, Accumulated Leap Seconds=34 + { 2454934.50, 65.875067 }, //13 April 2009, UT1-UTC= 0.3089327, Accumulated Leap Seconds=34 + { 2454935.50, 65.875834 }, //14 April 2009, UT1-UTC= 0.3081661, Accumulated Leap Seconds=34 + { 2454936.50, 65.876562 }, //15 April 2009, UT1-UTC= 0.3074379, Accumulated Leap Seconds=34 + { 2454937.50, 65.877347 }, //16 April 2009, UT1-UTC= 0.3066535, Accumulated Leap Seconds=34 + { 2454938.50, 65.878248 }, //17 April 2009, UT1-UTC= 0.3057521, Accumulated Leap Seconds=34 + { 2454939.50, 65.879272 }, //18 April 2009, UT1-UTC= 0.3047280, Accumulated Leap Seconds=34 + { 2454940.50, 65.880453 }, //19 April 2009, UT1-UTC= 0.3035474, Accumulated Leap Seconds=34 + { 2454941.50, 65.881821 }, //20 April 2009, UT1-UTC= 0.3021794, Accumulated Leap Seconds=34 + { 2454942.50, 65.883409 }, //21 April 2009, UT1-UTC= 0.3005907, Accumulated Leap Seconds=34 + { 2454943.50, 65.885169 }, //22 April 2009, UT1-UTC= 0.2988310, Accumulated Leap Seconds=34 + { 2454944.50, 65.886987 }, //23 April 2009, UT1-UTC= 0.2970129, Accumulated Leap Seconds=34 + { 2454945.50, 65.888743 }, //24 April 2009, UT1-UTC= 0.2952567, Accumulated Leap Seconds=34 + { 2454946.50, 65.890351 }, //25 April 2009, UT1-UTC= 0.2936485, Accumulated Leap Seconds=34 + { 2454947.50, 65.891770 }, //26 April 2009, UT1-UTC= 0.2922298, Accumulated Leap Seconds=34 + { 2454948.50, 65.892977 }, //27 April 2009, UT1-UTC= 0.2910235, Accumulated Leap Seconds=34 + { 2454949.50, 65.894028 }, //28 April 2009, UT1-UTC= 0.2899716, Accumulated Leap Seconds=34 + { 2454950.50, 65.895030 }, //29 April 2009, UT1-UTC= 0.2889698, Accumulated Leap Seconds=34 + { 2454951.50, 65.896097 }, //30 April 2009, UT1-UTC= 0.2879032, Accumulated Leap Seconds=34 + { 2454952.50, 65.897301 }, //01 May 2009, UT1-UTC= 0.2866992, Accumulated Leap Seconds=34 + { 2454953.50, 65.898704 }, //02 May 2009, UT1-UTC= 0.2852964, Accumulated Leap Seconds=34 + { 2454954.50, 65.900315 }, //03 May 2009, UT1-UTC= 0.2836850, Accumulated Leap Seconds=34 + { 2454955.50, 65.902074 }, //04 May 2009, UT1-UTC= 0.2819259, Accumulated Leap Seconds=34 + { 2454956.50, 65.903865 }, //05 May 2009, UT1-UTC= 0.2801345, Accumulated Leap Seconds=34 + { 2454957.50, 65.905568 }, //06 May 2009, UT1-UTC= 0.2784317, Accumulated Leap Seconds=34 + { 2454958.50, 65.907099 }, //07 May 2009, UT1-UTC= 0.2769010, Accumulated Leap Seconds=34 + { 2454959.50, 65.908354 }, //08 May 2009, UT1-UTC= 0.2756458, Accumulated Leap Seconds=34 + { 2454960.50, 65.909324 }, //09 May 2009, UT1-UTC= 0.2746759, Accumulated Leap Seconds=34 + { 2454961.50, 65.910078 }, //10 May 2009, UT1-UTC= 0.2739222, Accumulated Leap Seconds=34 + { 2454962.50, 65.910687 }, //11 May 2009, UT1-UTC= 0.2733129, Accumulated Leap Seconds=34 + { 2454963.50, 65.911227 }, //12 May 2009, UT1-UTC= 0.2727733, Accumulated Leap Seconds=34 + { 2454964.50, 65.911760 }, //13 May 2009, UT1-UTC= 0.2722396, Accumulated Leap Seconds=34 + { 2454965.50, 65.912348 }, //14 May 2009, UT1-UTC= 0.2716517, Accumulated Leap Seconds=34 + { 2454966.50, 65.913058 }, //15 May 2009, UT1-UTC= 0.2709424, Accumulated Leap Seconds=34 + { 2454967.50, 65.913910 }, //16 May 2009, UT1-UTC= 0.2700901, Accumulated Leap Seconds=34 + { 2454968.50, 65.914893 }, //17 May 2009, UT1-UTC= 0.2691068, Accumulated Leap Seconds=34 + { 2454969.50, 65.916010 }, //18 May 2009, UT1-UTC= 0.2679896, Accumulated Leap Seconds=34 + { 2454970.50, 65.917300 }, //19 May 2009, UT1-UTC= 0.2666999, Accumulated Leap Seconds=34 + { 2454971.50, 65.918738 }, //20 May 2009, UT1-UTC= 0.2652618, Accumulated Leap Seconds=34 + { 2454972.50, 65.920222 }, //21 May 2009, UT1-UTC= 0.2637775, Accumulated Leap Seconds=34 + { 2454973.50, 65.921624 }, //22 May 2009, UT1-UTC= 0.2623763, Accumulated Leap Seconds=34 + { 2454974.50, 65.922828 }, //23 May 2009, UT1-UTC= 0.2611715, Accumulated Leap Seconds=34 + { 2454975.50, 65.923856 }, //24 May 2009, UT1-UTC= 0.2601438, Accumulated Leap Seconds=34 + { 2454976.50, 65.924723 }, //25 May 2009, UT1-UTC= 0.2592765, Accumulated Leap Seconds=34 + { 2454977.50, 65.925475 }, //26 May 2009, UT1-UTC= 0.2585250, Accumulated Leap Seconds=34 + { 2454978.50, 65.926215 }, //27 May 2009, UT1-UTC= 0.2577849, Accumulated Leap Seconds=34 + { 2454979.50, 65.927065 }, //28 May 2009, UT1-UTC= 0.2569352, Accumulated Leap Seconds=34 + { 2454980.50, 65.928114 }, //29 May 2009, UT1-UTC= 0.2558863, Accumulated Leap Seconds=34 + { 2454981.50, 65.929393 }, //30 May 2009, UT1-UTC= 0.2546074, Accumulated Leap Seconds=34 + { 2454982.50, 65.930834 }, //31 May 2009, UT1-UTC= 0.2531661, Accumulated Leap Seconds=34 + { 2454983.50, 65.932291 }, //01 June 2009, UT1-UTC= 0.2517090, Accumulated Leap Seconds=34 + { 2454984.50, 65.933645 }, //02 June 2009, UT1-UTC= 0.2503554, Accumulated Leap Seconds=34 + { 2454985.50, 65.934838 }, //03 June 2009, UT1-UTC= 0.2491618, Accumulated Leap Seconds=34 + { 2454986.50, 65.935818 }, //04 June 2009, UT1-UTC= 0.2481821, Accumulated Leap Seconds=34 + { 2454987.50, 65.936577 }, //05 June 2009, UT1-UTC= 0.2474231, Accumulated Leap Seconds=34 + { 2454988.50, 65.937105 }, //06 June 2009, UT1-UTC= 0.2468948, Accumulated Leap Seconds=34 + { 2454989.50, 65.937490 }, //07 June 2009, UT1-UTC= 0.2465104, Accumulated Leap Seconds=34 + { 2454990.50, 65.937769 }, //08 June 2009, UT1-UTC= 0.2462312, Accumulated Leap Seconds=34 + { 2454991.50, 65.938026 }, //09 June 2009, UT1-UTC= 0.2459743, Accumulated Leap Seconds=34 + { 2454992.50, 65.938335 }, //10 June 2009, UT1-UTC= 0.2456650, Accumulated Leap Seconds=34 + { 2454993.50, 65.938750 }, //11 June 2009, UT1-UTC= 0.2452496, Accumulated Leap Seconds=34 + { 2454994.50, 65.939333 }, //12 June 2009, UT1-UTC= 0.2446667, Accumulated Leap Seconds=34 + { 2454995.50, 65.940072 }, //13 June 2009, UT1-UTC= 0.2439277, Accumulated Leap Seconds=34 + { 2454996.50, 65.940920 }, //14 June 2009, UT1-UTC= 0.2430796, Accumulated Leap Seconds=34 + { 2454997.50, 65.941845 }, //15 June 2009, UT1-UTC= 0.2421545, Accumulated Leap Seconds=34 + { 2454998.50, 65.942839 }, //16 June 2009, UT1-UTC= 0.2411614, Accumulated Leap Seconds=34 + { 2454999.50, 65.943875 }, //17 June 2009, UT1-UTC= 0.2401249, Accumulated Leap Seconds=34 + { 2455000.50, 65.944838 }, //18 June 2009, UT1-UTC= 0.2391618, Accumulated Leap Seconds=34 + { 2455001.50, 65.945646 }, //19 June 2009, UT1-UTC= 0.2383535, Accumulated Leap Seconds=34 + { 2455002.50, 65.946258 }, //20 June 2009, UT1-UTC= 0.2377416, Accumulated Leap Seconds=34 + { 2455003.50, 65.946651 }, //21 June 2009, UT1-UTC= 0.2373492, Accumulated Leap Seconds=34 + { 2455004.50, 65.946869 }, //22 June 2009, UT1-UTC= 0.2371310, Accumulated Leap Seconds=34 + { 2455005.50, 65.946998 }, //23 June 2009, UT1-UTC= 0.2370015, Accumulated Leap Seconds=34 + { 2455006.50, 65.947175 }, //24 June 2009, UT1-UTC= 0.2368248, Accumulated Leap Seconds=34 + { 2455007.50, 65.947464 }, //25 June 2009, UT1-UTC= 0.2365362, Accumulated Leap Seconds=34 + { 2455008.50, 65.947959 }, //26 June 2009, UT1-UTC= 0.2360414, Accumulated Leap Seconds=34 + { 2455009.50, 65.948630 }, //27 June 2009, UT1-UTC= 0.2353703, Accumulated Leap Seconds=34 + { 2455010.50, 65.949372 }, //28 June 2009, UT1-UTC= 0.2346282, Accumulated Leap Seconds=34 + { 2455011.50, 65.950070 }, //29 June 2009, UT1-UTC= 0.2339304, Accumulated Leap Seconds=34 + { 2455012.50, 65.950607 }, //30 June 2009, UT1-UTC= 0.2333927, Accumulated Leap Seconds=34 + { 2455013.50, 65.950911 }, //01 July 2009, UT1-UTC= 0.2330890, Accumulated Leap Seconds=34 + { 2455014.50, 65.950974 }, //02 July 2009, UT1-UTC= 0.2330259, Accumulated Leap Seconds=34 + { 2455015.50, 65.950838 }, //03 July 2009, UT1-UTC= 0.2331616, Accumulated Leap Seconds=34 + { 2455016.50, 65.950574 }, //04 July 2009, UT1-UTC= 0.2334258, Accumulated Leap Seconds=34 + { 2455017.50, 65.950208 }, //05 July 2009, UT1-UTC= 0.2337924, Accumulated Leap Seconds=34 + { 2455018.50, 65.949783 }, //06 July 2009, UT1-UTC= 0.2342165, Accumulated Leap Seconds=34 + { 2455019.50, 65.949376 }, //07 July 2009, UT1-UTC= 0.2346239, Accumulated Leap Seconds=34 + { 2455020.50, 65.949039 }, //08 July 2009, UT1-UTC= 0.2349612, Accumulated Leap Seconds=34 + { 2455021.50, 65.948851 }, //09 July 2009, UT1-UTC= 0.2351490, Accumulated Leap Seconds=34 + { 2455022.50, 65.948803 }, //10 July 2009, UT1-UTC= 0.2351971, Accumulated Leap Seconds=34 + { 2455023.50, 65.948880 }, //11 July 2009, UT1-UTC= 0.2351196, Accumulated Leap Seconds=34 + { 2455024.50, 65.949109 }, //12 July 2009, UT1-UTC= 0.2348913, Accumulated Leap Seconds=34 + { 2455025.50, 65.949409 }, //13 July 2009, UT1-UTC= 0.2345908, Accumulated Leap Seconds=34 + { 2455026.50, 65.949712 }, //14 July 2009, UT1-UTC= 0.2342881, Accumulated Leap Seconds=34 + { 2455027.50, 65.950000 }, //15 July 2009, UT1-UTC= 0.2340001, Accumulated Leap Seconds=34 + { 2455028.50, 65.950197 }, //16 July 2009, UT1-UTC= 0.2338029, Accumulated Leap Seconds=34 + { 2455029.50, 65.950254 }, //17 July 2009, UT1-UTC= 0.2337458, Accumulated Leap Seconds=34 + { 2455030.50, 65.950194 }, //18 July 2009, UT1-UTC= 0.2338058, Accumulated Leap Seconds=34 + { 2455031.50, 65.950052 }, //19 July 2009, UT1-UTC= 0.2339479, Accumulated Leap Seconds=34 + { 2455032.50, 65.949900 }, //20 July 2009, UT1-UTC= 0.2341004, Accumulated Leap Seconds=34 + { 2455033.50, 65.949820 }, //21 July 2009, UT1-UTC= 0.2341796, Accumulated Leap Seconds=34 + { 2455034.50, 65.949900 }, //22 July 2009, UT1-UTC= 0.2341003, Accumulated Leap Seconds=34 + { 2455035.50, 65.950181 }, //23 July 2009, UT1-UTC= 0.2338189, Accumulated Leap Seconds=34 + { 2455036.50, 65.950711 }, //24 July 2009, UT1-UTC= 0.2332889, Accumulated Leap Seconds=34 + { 2455037.50, 65.951420 }, //25 July 2009, UT1-UTC= 0.2325804, Accumulated Leap Seconds=34 + { 2455038.50, 65.952186 }, //26 July 2009, UT1-UTC= 0.2318139, Accumulated Leap Seconds=34 + { 2455039.50, 65.952889 }, //27 July 2009, UT1-UTC= 0.2311110, Accumulated Leap Seconds=34 + { 2455040.50, 65.953444 }, //28 July 2009, UT1-UTC= 0.2305564, Accumulated Leap Seconds=34 + { 2455041.50, 65.953749 }, //29 July 2009, UT1-UTC= 0.2302513, Accumulated Leap Seconds=34 + { 2455042.50, 65.953822 }, //30 July 2009, UT1-UTC= 0.2301777, Accumulated Leap Seconds=34 + { 2455043.50, 65.953689 }, //31 July 2009, UT1-UTC= 0.2303110, Accumulated Leap Seconds=34 + { 2455044.50, 65.953411 }, //01 August 2009, UT1-UTC= 0.2305895, Accumulated Leap Seconds=34 + { 2455045.50, 65.953065 }, //02 August 2009, UT1-UTC= 0.2309348, Accumulated Leap Seconds=34 + { 2455046.50, 65.952781 }, //03 August 2009, UT1-UTC= 0.2312188, Accumulated Leap Seconds=34 + { 2455047.50, 65.952604 }, //04 August 2009, UT1-UTC= 0.2313959, Accumulated Leap Seconds=34 + { 2455048.50, 65.952521 }, //05 August 2009, UT1-UTC= 0.2314794, Accumulated Leap Seconds=34 + { 2455049.50, 65.952616 }, //06 August 2009, UT1-UTC= 0.2313842, Accumulated Leap Seconds=34 + { 2455050.50, 65.952940 }, //07 August 2009, UT1-UTC= 0.2310598, Accumulated Leap Seconds=34 + { 2455051.50, 65.953396 }, //08 August 2009, UT1-UTC= 0.2306036, Accumulated Leap Seconds=34 + { 2455052.50, 65.953977 }, //09 August 2009, UT1-UTC= 0.2300233, Accumulated Leap Seconds=34 + { 2455053.50, 65.954644 }, //10 August 2009, UT1-UTC= 0.2293560, Accumulated Leap Seconds=34 + { 2455054.50, 65.955294 }, //11 August 2009, UT1-UTC= 0.2287061, Accumulated Leap Seconds=34 + { 2455055.50, 65.955837 }, //12 August 2009, UT1-UTC= 0.2281630, Accumulated Leap Seconds=34 + { 2455056.50, 65.956215 }, //13 August 2009, UT1-UTC= 0.2277853, Accumulated Leap Seconds=34 + { 2455057.50, 65.956399 }, //14 August 2009, UT1-UTC= 0.2276013, Accumulated Leap Seconds=34 + { 2455058.50, 65.956397 }, //15 August 2009, UT1-UTC= 0.2276029, Accumulated Leap Seconds=34 + { 2455059.50, 65.956324 }, //16 August 2009, UT1-UTC= 0.2276759, Accumulated Leap Seconds=34 + { 2455060.50, 65.956267 }, //17 August 2009, UT1-UTC= 0.2277326, Accumulated Leap Seconds=34 + { 2455061.50, 65.956369 }, //18 August 2009, UT1-UTC= 0.2276306, Accumulated Leap Seconds=34 + { 2455062.50, 65.956756 }, //19 August 2009, UT1-UTC= 0.2272438, Accumulated Leap Seconds=34 + { 2455063.50, 65.957419 }, //20 August 2009, UT1-UTC= 0.2265811, Accumulated Leap Seconds=34 + { 2455064.50, 65.958318 }, //21 August 2009, UT1-UTC= 0.2256824, Accumulated Leap Seconds=34 + { 2455065.50, 65.959325 }, //22 August 2009, UT1-UTC= 0.2246746, Accumulated Leap Seconds=34 + { 2455066.50, 65.960273 }, //23 August 2009, UT1-UTC= 0.2237272, Accumulated Leap Seconds=34 + { 2455067.50, 65.961088 }, //24 August 2009, UT1-UTC= 0.2229120, Accumulated Leap Seconds=34 + { 2455068.50, 65.961691 }, //25 August 2009, UT1-UTC= 0.2223091, Accumulated Leap Seconds=34 + { 2455069.50, 65.962057 }, //26 August 2009, UT1-UTC= 0.2219434, Accumulated Leap Seconds=34 + { 2455070.50, 65.962253 }, //27 August 2009, UT1-UTC= 0.2217470, Accumulated Leap Seconds=34 + { 2455071.50, 65.962357 }, //28 August 2009, UT1-UTC= 0.2216431, Accumulated Leap Seconds=34 + { 2455072.50, 65.962429 }, //29 August 2009, UT1-UTC= 0.2215710, Accumulated Leap Seconds=34 + { 2455073.50, 65.962496 }, //30 August 2009, UT1-UTC= 0.2215045, Accumulated Leap Seconds=34 + { 2455074.50, 65.962613 }, //31 August 2009, UT1-UTC= 0.2213869, Accumulated Leap Seconds=34 + { 2455075.50, 65.962833 }, //01 September 2009, UT1-UTC= 0.2211670, Accumulated Leap Seconds=34 + { 2455076.50, 65.963210 }, //02 September 2009, UT1-UTC= 0.2207904, Accumulated Leap Seconds=34 + { 2455077.50, 65.963768 }, //03 September 2009, UT1-UTC= 0.2202321, Accumulated Leap Seconds=34 + { 2455078.50, 65.964499 }, //04 September 2009, UT1-UTC= 0.2195012, Accumulated Leap Seconds=34 + { 2455079.50, 65.965371 }, //05 September 2009, UT1-UTC= 0.2186289, Accumulated Leap Seconds=34 + { 2455080.50, 65.966328 }, //06 September 2009, UT1-UTC= 0.2176721, Accumulated Leap Seconds=34 + { 2455081.50, 65.967271 }, //07 September 2009, UT1-UTC= 0.2167292, Accumulated Leap Seconds=34 + { 2455082.50, 65.968132 }, //08 September 2009, UT1-UTC= 0.2158682, Accumulated Leap Seconds=34 + { 2455083.50, 65.968837 }, //09 September 2009, UT1-UTC= 0.2151630, Accumulated Leap Seconds=34 + { 2455084.50, 65.969346 }, //10 September 2009, UT1-UTC= 0.2146539, Accumulated Leap Seconds=34 + { 2455085.50, 65.969703 }, //11 September 2009, UT1-UTC= 0.2142969, Accumulated Leap Seconds=34 + { 2455086.50, 65.969965 }, //12 September 2009, UT1-UTC= 0.2140350, Accumulated Leap Seconds=34 + { 2455087.50, 65.970260 }, //13 September 2009, UT1-UTC= 0.2137395, Accumulated Leap Seconds=34 + { 2455088.50, 65.970685 }, //14 September 2009, UT1-UTC= 0.2133151, Accumulated Leap Seconds=34 + { 2455089.50, 65.971311 }, //15 September 2009, UT1-UTC= 0.2126885, Accumulated Leap Seconds=34 + { 2455090.50, 65.972181 }, //16 September 2009, UT1-UTC= 0.2118194, Accumulated Leap Seconds=34 + { 2455091.50, 65.973326 }, //17 September 2009, UT1-UTC= 0.2106744, Accumulated Leap Seconds=34 + { 2455092.50, 65.974669 }, //18 September 2009, UT1-UTC= 0.2093311, Accumulated Leap Seconds=34 + { 2455093.50, 65.976014 }, //19 September 2009, UT1-UTC= 0.2079858, Accumulated Leap Seconds=34 + { 2455094.50, 65.977291 }, //20 September 2009, UT1-UTC= 0.2067089, Accumulated Leap Seconds=34 + { 2455095.50, 65.978378 }, //21 September 2009, UT1-UTC= 0.2056216, Accumulated Leap Seconds=34 + { 2455096.50, 65.979173 }, //22 September 2009, UT1-UTC= 0.2048271, Accumulated Leap Seconds=34 + { 2455097.50, 65.979698 }, //23 September 2009, UT1-UTC= 0.2043018, Accumulated Leap Seconds=34 + { 2455098.50, 65.980080 }, //24 September 2009, UT1-UTC= 0.2039199, Accumulated Leap Seconds=34 + { 2455099.50, 65.980383 }, //25 September 2009, UT1-UTC= 0.2036174, Accumulated Leap Seconds=34 + { 2455100.50, 65.980664 }, //26 September 2009, UT1-UTC= 0.2033359, Accumulated Leap Seconds=34 + { 2455101.50, 65.980944 }, //27 September 2009, UT1-UTC= 0.2030560, Accumulated Leap Seconds=34 + { 2455102.50, 65.981307 }, //28 September 2009, UT1-UTC= 0.2026932, Accumulated Leap Seconds=34 + { 2455103.50, 65.981896 }, //29 September 2009, UT1-UTC= 0.2021040, Accumulated Leap Seconds=34 + { 2455104.50, 65.982758 }, //30 September 2009, UT1-UTC= 0.2012420, Accumulated Leap Seconds=34 + { 2455105.50, 65.983865 }, //01 October 2009, UT1-UTC= 0.2001353, Accumulated Leap Seconds=34 + { 2455106.50, 65.985106 }, //02 October 2009, UT1-UTC= 0.1988940, Accumulated Leap Seconds=34 + { 2455107.50, 65.986399 }, //03 October 2009, UT1-UTC= 0.1976013, Accumulated Leap Seconds=34 + { 2455108.50, 65.987731 }, //04 October 2009, UT1-UTC= 0.1962694, Accumulated Leap Seconds=34 + { 2455109.50, 65.989002 }, //05 October 2009, UT1-UTC= 0.1949983, Accumulated Leap Seconds=34 + { 2455110.50, 65.990095 }, //06 October 2009, UT1-UTC= 0.1939051, Accumulated Leap Seconds=34 + { 2455111.50, 65.991024 }, //07 October 2009, UT1-UTC= 0.1929757, Accumulated Leap Seconds=34 + { 2455112.50, 65.991778 }, //08 October 2009, UT1-UTC= 0.1922218, Accumulated Leap Seconds=34 + { 2455113.50, 65.992407 }, //09 October 2009, UT1-UTC= 0.1915935, Accumulated Leap Seconds=34 + { 2455114.50, 65.992994 }, //10 October 2009, UT1-UTC= 0.1910059, Accumulated Leap Seconds=34 + { 2455115.50, 65.993615 }, //11 October 2009, UT1-UTC= 0.1903848, Accumulated Leap Seconds=34 + { 2455116.50, 65.994328 }, //12 October 2009, UT1-UTC= 0.1896720, Accumulated Leap Seconds=34 + { 2455117.50, 65.995268 }, //13 October 2009, UT1-UTC= 0.1887316, Accumulated Leap Seconds=34 + { 2455118.50, 65.996453 }, //14 October 2009, UT1-UTC= 0.1875469, Accumulated Leap Seconds=34 + { 2455119.50, 65.997827 }, //15 October 2009, UT1-UTC= 0.1861733, Accumulated Leap Seconds=34 + { 2455120.50, 65.999315 }, //16 October 2009, UT1-UTC= 0.1846849, Accumulated Leap Seconds=34 + { 2455121.50, 66.000797 }, //17 October 2009, UT1-UTC= 0.1832026, Accumulated Leap Seconds=34 + { 2455122.50, 66.002122 }, //18 October 2009, UT1-UTC= 0.1818784, Accumulated Leap Seconds=34 + { 2455123.50, 66.003224 }, //19 October 2009, UT1-UTC= 0.1807756, Accumulated Leap Seconds=34 + { 2455124.50, 66.004103 }, //20 October 2009, UT1-UTC= 0.1798975, Accumulated Leap Seconds=34 + { 2455125.50, 66.004802 }, //21 October 2009, UT1-UTC= 0.1791977, Accumulated Leap Seconds=34 + { 2455126.50, 66.005401 }, //22 October 2009, UT1-UTC= 0.1785993, Accumulated Leap Seconds=34 + { 2455127.50, 66.005973 }, //23 October 2009, UT1-UTC= 0.1780274, Accumulated Leap Seconds=34 + { 2455128.50, 66.006494 }, //24 October 2009, UT1-UTC= 0.1775061, Accumulated Leap Seconds=34 + { 2455129.50, 66.007055 }, //25 October 2009, UT1-UTC= 0.1769450, Accumulated Leap Seconds=34 + { 2455130.50, 66.007776 }, //26 October 2009, UT1-UTC= 0.1762240, Accumulated Leap Seconds=34 + { 2455131.50, 66.008664 }, //27 October 2009, UT1-UTC= 0.1753358, Accumulated Leap Seconds=34 + { 2455132.50, 66.009721 }, //28 October 2009, UT1-UTC= 0.1742790, Accumulated Leap Seconds=34 + { 2455133.50, 66.010899 }, //29 October 2009, UT1-UTC= 0.1731010, Accumulated Leap Seconds=34 + { 2455134.50, 66.012147 }, //30 October 2009, UT1-UTC= 0.1718527, Accumulated Leap Seconds=34 + { 2455135.50, 66.013417 }, //31 October 2009, UT1-UTC= 0.1705827, Accumulated Leap Seconds=34 + { 2455136.50, 66.014673 }, //01 November 2009, UT1-UTC= 0.1693267, Accumulated Leap Seconds=34 + { 2455137.50, 66.015796 }, //02 November 2009, UT1-UTC= 0.1682037, Accumulated Leap Seconds=34 + { 2455138.50, 66.016779 }, //03 November 2009, UT1-UTC= 0.1672210, Accumulated Leap Seconds=34 + { 2455139.50, 66.017600 }, //04 November 2009, UT1-UTC= 0.1663999, Accumulated Leap Seconds=34 + { 2455140.50, 66.018302 }, //05 November 2009, UT1-UTC= 0.1656982, Accumulated Leap Seconds=34 + { 2455141.50, 66.018970 }, //06 November 2009, UT1-UTC= 0.1650303, Accumulated Leap Seconds=34 + { 2455142.50, 66.019635 }, //07 November 2009, UT1-UTC= 0.1643645, Accumulated Leap Seconds=34 + { 2455143.50, 66.020392 }, //08 November 2009, UT1-UTC= 0.1636083, Accumulated Leap Seconds=34 + { 2455144.50, 66.021282 }, //09 November 2009, UT1-UTC= 0.1627181, Accumulated Leap Seconds=34 + { 2455145.50, 66.022315 }, //10 November 2009, UT1-UTC= 0.1616846, Accumulated Leap Seconds=34 + { 2455146.50, 66.023539 }, //11 November 2009, UT1-UTC= 0.1604613, Accumulated Leap Seconds=34 + { 2455147.50, 66.024866 }, //12 November 2009, UT1-UTC= 0.1591338, Accumulated Leap Seconds=34 + { 2455148.50, 66.026187 }, //13 November 2009, UT1-UTC= 0.1578132, Accumulated Leap Seconds=34 + { 2455149.50, 66.027339 }, //14 November 2009, UT1-UTC= 0.1566610, Accumulated Leap Seconds=34 + { 2455150.50, 66.028284 }, //15 November 2009, UT1-UTC= 0.1557155, Accumulated Leap Seconds=34 + { 2455151.50, 66.029036 }, //16 November 2009, UT1-UTC= 0.1549638, Accumulated Leap Seconds=34 + { 2455152.50, 66.029597 }, //17 November 2009, UT1-UTC= 0.1544033, Accumulated Leap Seconds=34 + { 2455153.50, 66.030054 }, //18 November 2009, UT1-UTC= 0.1539462, Accumulated Leap Seconds=34 + { 2455154.50, 66.030442 }, //19 November 2009, UT1-UTC= 0.1535580, Accumulated Leap Seconds=34 + { 2455155.50, 66.030780 }, //20 November 2009, UT1-UTC= 0.1532202, Accumulated Leap Seconds=34 + { 2455156.50, 66.031212 }, //21 November 2009, UT1-UTC= 0.1527877, Accumulated Leap Seconds=34 + { 2455157.50, 66.031836 }, //22 November 2009, UT1-UTC= 0.1521636, Accumulated Leap Seconds=34 + { 2455158.50, 66.032686 }, //23 November 2009, UT1-UTC= 0.1513143, Accumulated Leap Seconds=34 + { 2455159.50, 66.033705 }, //24 November 2009, UT1-UTC= 0.1502950, Accumulated Leap Seconds=34 + { 2455160.50, 66.034839 }, //25 November 2009, UT1-UTC= 0.1491607, Accumulated Leap Seconds=34 + { 2455161.50, 66.036087 }, //26 November 2009, UT1-UTC= 0.1479131, Accumulated Leap Seconds=34 + { 2455162.50, 66.037428 }, //27 November 2009, UT1-UTC= 0.1465720, Accumulated Leap Seconds=34 + { 2455163.50, 66.038782 }, //28 November 2009, UT1-UTC= 0.1452184, Accumulated Leap Seconds=34 + { 2455164.50, 66.040044 }, //29 November 2009, UT1-UTC= 0.1439564, Accumulated Leap Seconds=34 + { 2455165.50, 66.041154 }, //30 November 2009, UT1-UTC= 0.1428458, Accumulated Leap Seconds=34 + { 2455166.50, 66.042049 }, //01 December 2009, UT1-UTC= 0.1419510, Accumulated Leap Seconds=34 + { 2455167.50, 66.042756 }, //02 December 2009, UT1-UTC= 0.1412438, Accumulated Leap Seconds=34 + { 2455168.50, 66.043389 }, //03 December 2009, UT1-UTC= 0.1406106, Accumulated Leap Seconds=34 + { 2455169.50, 66.044038 }, //04 December 2009, UT1-UTC= 0.1399617, Accumulated Leap Seconds=34 + { 2455170.50, 66.044820 }, //05 December 2009, UT1-UTC= 0.1391796, Accumulated Leap Seconds=34 + { 2455171.50, 66.045751 }, //06 December 2009, UT1-UTC= 0.1382485, Accumulated Leap Seconds=34 + { 2455172.50, 66.046881 }, //07 December 2009, UT1-UTC= 0.1371190, Accumulated Leap Seconds=34 + { 2455173.50, 66.048163 }, //08 December 2009, UT1-UTC= 0.1358371, Accumulated Leap Seconds=34 + { 2455174.50, 66.049591 }, //09 December 2009, UT1-UTC= 0.1344085, Accumulated Leap Seconds=34 + { 2455175.50, 66.050987 }, //10 December 2009, UT1-UTC= 0.1330130, Accumulated Leap Seconds=34 + { 2455176.50, 66.052233 }, //11 December 2009, UT1-UTC= 0.1317667, Accumulated Leap Seconds=34 + { 2455177.50, 66.053263 }, //12 December 2009, UT1-UTC= 0.1307371, Accumulated Leap Seconds=34 + { 2455178.50, 66.054092 }, //13 December 2009, UT1-UTC= 0.1299079, Accumulated Leap Seconds=34 + { 2455179.50, 66.054794 }, //14 December 2009, UT1-UTC= 0.1292060, Accumulated Leap Seconds=34 + { 2455180.50, 66.055395 }, //15 December 2009, UT1-UTC= 0.1286051, Accumulated Leap Seconds=34 + { 2455181.50, 66.055968 }, //16 December 2009, UT1-UTC= 0.1280323, Accumulated Leap Seconds=34 + { 2455182.50, 66.056570 }, //17 December 2009, UT1-UTC= 0.1274299, Accumulated Leap Seconds=34 + { 2455183.50, 66.057231 }, //18 December 2009, UT1-UTC= 0.1267693, Accumulated Leap Seconds=34 + { 2455184.50, 66.057984 }, //19 December 2009, UT1-UTC= 0.1260159, Accumulated Leap Seconds=34 + { 2455185.50, 66.058877 }, //20 December 2009, UT1-UTC= 0.1251234, Accumulated Leap Seconds=34 + { 2455186.50, 66.059929 }, //21 December 2009, UT1-UTC= 0.1240707, Accumulated Leap Seconds=34 + { 2455187.50, 66.061150 }, //22 December 2009, UT1-UTC= 0.1228495, Accumulated Leap Seconds=34 + { 2455188.50, 66.062460 }, //23 December 2009, UT1-UTC= 0.1215400, Accumulated Leap Seconds=34 + { 2455189.50, 66.063801 }, //24 December 2009, UT1-UTC= 0.1201994, Accumulated Leap Seconds=34 + { 2455190.50, 66.065044 }, //25 December 2009, UT1-UTC= 0.1189558, Accumulated Leap Seconds=34 + { 2455191.50, 66.066193 }, //26 December 2009, UT1-UTC= 0.1178071, Accumulated Leap Seconds=34 + { 2455192.50, 66.067219 }, //27 December 2009, UT1-UTC= 0.1167809, Accumulated Leap Seconds=34 + { 2455193.50, 66.068070 }, //28 December 2009, UT1-UTC= 0.1159300, Accumulated Leap Seconds=34 + { 2455194.50, 66.068706 }, //29 December 2009, UT1-UTC= 0.1152943, Accumulated Leap Seconds=34 + { 2455195.50, 66.069130 }, //30 December 2009, UT1-UTC= 0.1148704, Accumulated Leap Seconds=34 + { 2455196.50, 66.069486 }, //31 December 2009, UT1-UTC= 0.1145137, Accumulated Leap Seconds=34 + { 2455197.50, 66.069922 }, //01 January 2010, UT1-UTC= 0.1140783, Accumulated Leap Seconds=34 + { 2455198.50, 66.070555 }, //02 January 2010, UT1-UTC= 0.1134454, Accumulated Leap Seconds=34 + { 2455199.50, 66.071474 }, //03 January 2010, UT1-UTC= 0.1125259, Accumulated Leap Seconds=34 + { 2455200.50, 66.072629 }, //04 January 2010, UT1-UTC= 0.1113713, Accumulated Leap Seconds=34 + { 2455201.50, 66.073982 }, //05 January 2010, UT1-UTC= 0.1100183, Accumulated Leap Seconds=34 + { 2455202.50, 66.075375 }, //06 January 2010, UT1-UTC= 0.1086245, Accumulated Leap Seconds=34 + { 2455203.50, 66.076653 }, //07 January 2010, UT1-UTC= 0.1073468, Accumulated Leap Seconds=34 + { 2455204.50, 66.077740 }, //08 January 2010, UT1-UTC= 0.1062598, Accumulated Leap Seconds=34 + { 2455205.50, 66.078602 }, //09 January 2010, UT1-UTC= 0.1053984, Accumulated Leap Seconds=34 + { 2455206.50, 66.079185 }, //10 January 2010, UT1-UTC= 0.1048153, Accumulated Leap Seconds=34 + { 2455207.50, 66.079581 }, //11 January 2010, UT1-UTC= 0.1044188, Accumulated Leap Seconds=34 + { 2455208.50, 66.079862 }, //12 January 2010, UT1-UTC= 0.1041377, Accumulated Leap Seconds=34 + { 2455209.50, 66.080120 }, //13 January 2010, UT1-UTC= 0.1038803, Accumulated Leap Seconds=34 + { 2455210.50, 66.080354 }, //14 January 2010, UT1-UTC= 0.1036455, Accumulated Leap Seconds=34 + { 2455211.50, 66.080673 }, //15 January 2010, UT1-UTC= 0.1033269, Accumulated Leap Seconds=34 + { 2455212.50, 66.081143 }, //16 January 2010, UT1-UTC= 0.1028570, Accumulated Leap Seconds=34 + { 2455213.50, 66.081785 }, //17 January 2010, UT1-UTC= 0.1022150, Accumulated Leap Seconds=34 + { 2455214.50, 66.082632 }, //18 January 2010, UT1-UTC= 0.1013681, Accumulated Leap Seconds=34 + { 2455215.50, 66.083588 }, //19 January 2010, UT1-UTC= 0.1004121, Accumulated Leap Seconds=34 + { 2455216.50, 66.084578 }, //20 January 2010, UT1-UTC= 0.0994218, Accumulated Leap Seconds=34 + { 2455217.50, 66.085578 }, //21 January 2010, UT1-UTC= 0.0984222, Accumulated Leap Seconds=34 + { 2455218.50, 66.086602 }, //22 January 2010, UT1-UTC= 0.0973980, Accumulated Leap Seconds=34 + { 2455219.50, 66.087588 }, //23 January 2010, UT1-UTC= 0.0964122, Accumulated Leap Seconds=34 + { 2455220.50, 66.088487 }, //24 January 2010, UT1-UTC= 0.0955129, Accumulated Leap Seconds=34 + { 2455221.50, 66.089274 }, //25 January 2010, UT1-UTC= 0.0947260, Accumulated Leap Seconds=34 + { 2455222.50, 66.089911 }, //26 January 2010, UT1-UTC= 0.0940895, Accumulated Leap Seconds=34 + { 2455223.50, 66.090462 }, //27 January 2010, UT1-UTC= 0.0935376, Accumulated Leap Seconds=34 + { 2455224.50, 66.091070 }, //28 January 2010, UT1-UTC= 0.0929297, Accumulated Leap Seconds=34 + { 2455225.50, 66.091897 }, //29 January 2010, UT1-UTC= 0.0921034, Accumulated Leap Seconds=34 + { 2455226.50, 66.092994 }, //30 January 2010, UT1-UTC= 0.0910058, Accumulated Leap Seconds=34 + { 2455227.50, 66.094403 }, //31 January 2010, UT1-UTC= 0.0895969, Accumulated Leap Seconds=34 + { 2455228.50, 66.096134 }, //01 February 2010, UT1-UTC= 0.0878657, Accumulated Leap Seconds=34 + { 2455229.50, 66.098019 }, //02 February 2010, UT1-UTC= 0.0859807, Accumulated Leap Seconds=34 + { 2455230.50, 66.099876 }, //03 February 2010, UT1-UTC= 0.0841237, Accumulated Leap Seconds=34 + { 2455231.50, 66.101576 }, //04 February 2010, UT1-UTC= 0.0824237, Accumulated Leap Seconds=34 + { 2455232.50, 66.102996 }, //05 February 2010, UT1-UTC= 0.0810036, Accumulated Leap Seconds=34 + { 2455233.50, 66.104149 }, //06 February 2010, UT1-UTC= 0.0798511, Accumulated Leap Seconds=34 + { 2455234.50, 66.105086 }, //07 February 2010, UT1-UTC= 0.0789140, Accumulated Leap Seconds=34 + { 2455235.50, 66.105838 }, //08 February 2010, UT1-UTC= 0.0781619, Accumulated Leap Seconds=34 + { 2455236.50, 66.106460 }, //09 February 2010, UT1-UTC= 0.0775395, Accumulated Leap Seconds=34 + { 2455237.50, 66.107012 }, //10 February 2010, UT1-UTC= 0.0769876, Accumulated Leap Seconds=34 + { 2455238.50, 66.107613 }, //11 February 2010, UT1-UTC= 0.0763870, Accumulated Leap Seconds=34 + { 2455239.50, 66.108347 }, //12 February 2010, UT1-UTC= 0.0756531, Accumulated Leap Seconds=34 + { 2455240.50, 66.109243 }, //13 February 2010, UT1-UTC= 0.0747570, Accumulated Leap Seconds=34 + { 2455241.50, 66.110325 }, //14 February 2010, UT1-UTC= 0.0736753, Accumulated Leap Seconds=34 + { 2455242.50, 66.111571 }, //15 February 2010, UT1-UTC= 0.0724293, Accumulated Leap Seconds=34 + { 2455243.50, 66.112956 }, //16 February 2010, UT1-UTC= 0.0710437, Accumulated Leap Seconds=34 + { 2455244.50, 66.114418 }, //17 February 2010, UT1-UTC= 0.0695816, Accumulated Leap Seconds=34 + { 2455245.50, 66.115941 }, //18 February 2010, UT1-UTC= 0.0680586, Accumulated Leap Seconds=34 + { 2455246.50, 66.117421 }, //19 February 2010, UT1-UTC= 0.0665789, Accumulated Leap Seconds=34 + { 2455247.50, 66.118803 }, //20 February 2010, UT1-UTC= 0.0651974, Accumulated Leap Seconds=34 + { 2455248.50, 66.120051 }, //21 February 2010, UT1-UTC= 0.0639494, Accumulated Leap Seconds=34 + { 2455249.50, 66.121173 }, //22 February 2010, UT1-UTC= 0.0628269, Accumulated Leap Seconds=34 + { 2455250.50, 66.122182 }, //23 February 2010, UT1-UTC= 0.0618181, Accumulated Leap Seconds=34 + { 2455251.50, 66.123136 }, //24 February 2010, UT1-UTC= 0.0608641, Accumulated Leap Seconds=34 + { 2455252.50, 66.124215 }, //25 February 2010, UT1-UTC= 0.0597845, Accumulated Leap Seconds=34 + { 2455253.50, 66.125534 }, //26 February 2010, UT1-UTC= 0.0584662, Accumulated Leap Seconds=34 + { 2455254.50, 66.127102 }, //27 February 2010, UT1-UTC= 0.0568980, Accumulated Leap Seconds=34 + { 2455255.50, 66.128962 }, //28 February 2010, UT1-UTC= 0.0550378, Accumulated Leap Seconds=34 + { 2455256.50, 66.131012 }, //01 March 2010, UT1-UTC= 0.0529884, Accumulated Leap Seconds=34 + { 2455257.50, 66.133076 }, //02 March 2010, UT1-UTC= 0.0509242, Accumulated Leap Seconds=34 + { 2455258.50, 66.134954 }, //03 March 2010, UT1-UTC= 0.0490461, Accumulated Leap Seconds=34 + { 2455259.50, 66.136605 }, //04 March 2010, UT1-UTC= 0.0473946, Accumulated Leap Seconds=34 + { 2455260.50, 66.137980 }, //05 March 2010, UT1-UTC= 0.0460197, Accumulated Leap Seconds=34 + { 2455261.50, 66.139068 }, //06 March 2010, UT1-UTC= 0.0449323, Accumulated Leap Seconds=34 + { 2455262.50, 66.139975 }, //07 March 2010, UT1-UTC= 0.0440250, Accumulated Leap Seconds=34 + { 2455263.50, 66.140735 }, //08 March 2010, UT1-UTC= 0.0432650, Accumulated Leap Seconds=34 + { 2455264.50, 66.141537 }, //09 March 2010, UT1-UTC= 0.0424633, Accumulated Leap Seconds=34 + { 2455265.50, 66.142456 }, //10 March 2010, UT1-UTC= 0.0415440, Accumulated Leap Seconds=34 + { 2455266.50, 66.143394 }, //11 March 2010, UT1-UTC= 0.0406058, Accumulated Leap Seconds=34 + { 2455267.50, 66.144404 }, //12 March 2010, UT1-UTC= 0.0395956, Accumulated Leap Seconds=34 + { 2455268.50, 66.145521 }, //13 March 2010, UT1-UTC= 0.0384795, Accumulated Leap Seconds=34 + { 2455269.50, 66.146618 }, //14 March 2010, UT1-UTC= 0.0373822, Accumulated Leap Seconds=34 + { 2455270.50, 66.147744 }, //15 March 2010, UT1-UTC= 0.0362561, Accumulated Leap Seconds=34 + { 2455271.50, 66.148947 }, //16 March 2010, UT1-UTC= 0.0350533, Accumulated Leap Seconds=34 + { 2455272.50, 66.150178 }, //17 March 2010, UT1-UTC= 0.0338216, Accumulated Leap Seconds=34 + { 2455273.50, 66.151407 }, //18 March 2010, UT1-UTC= 0.0325925, Accumulated Leap Seconds=34 + { 2455274.50, 66.152510 }, //19 March 2010, UT1-UTC= 0.0314904, Accumulated Leap Seconds=34 + { 2455275.50, 66.153429 }, //20 March 2010, UT1-UTC= 0.0305709, Accumulated Leap Seconds=34 + { 2455276.50, 66.154189 }, //21 March 2010, UT1-UTC= 0.0298113, Accumulated Leap Seconds=34 + { 2455277.50, 66.154798 }, //22 March 2010, UT1-UTC= 0.0292025, Accumulated Leap Seconds=34 + { 2455278.50, 66.155341 }, //23 March 2010, UT1-UTC= 0.0286592, Accumulated Leap Seconds=34 + { 2455279.50, 66.155935 }, //24 March 2010, UT1-UTC= 0.0280651, Accumulated Leap Seconds=34 + { 2455280.50, 66.156721 }, //25 March 2010, UT1-UTC= 0.0272792, Accumulated Leap Seconds=34 + { 2455281.50, 66.157858 }, //26 March 2010, UT1-UTC= 0.0261417, Accumulated Leap Seconds=34 + { 2455282.50, 66.159333 }, //27 March 2010, UT1-UTC= 0.0246671, Accumulated Leap Seconds=34 + { 2455283.50, 66.161052 }, //28 March 2010, UT1-UTC= 0.0229478, Accumulated Leap Seconds=34 + { 2455284.50, 66.162965 }, //29 March 2010, UT1-UTC= 0.0210345, Accumulated Leap Seconds=34 + { 2455285.50, 66.164946 }, //30 March 2010, UT1-UTC= 0.0190545, Accumulated Leap Seconds=34 + { 2455286.50, 66.166777 }, //31 March 2010, UT1-UTC= 0.0172228, Accumulated Leap Seconds=34 + { 2455287.50, 66.168271 }, //01 April 2010, UT1-UTC= 0.0157287, Accumulated Leap Seconds=34 + { 2455288.50, 66.169435 }, //02 April 2010, UT1-UTC= 0.0145646, Accumulated Leap Seconds=34 + { 2455289.50, 66.170351 }, //03 April 2010, UT1-UTC= 0.0136485, Accumulated Leap Seconds=34 + { 2455290.50, 66.171142 }, //04 April 2010, UT1-UTC= 0.0128581, Accumulated Leap Seconds=34 + { 2455291.50, 66.171930 }, //05 April 2010, UT1-UTC= 0.0120699, Accumulated Leap Seconds=34 + { 2455292.50, 66.172797 }, //06 April 2010, UT1-UTC= 0.0112035, Accumulated Leap Seconds=34 + { 2455293.50, 66.173764 }, //07 April 2010, UT1-UTC= 0.0102362, Accumulated Leap Seconds=34 + { 2455294.50, 66.174863 }, //08 April 2010, UT1-UTC= 0.0091373, Accumulated Leap Seconds=34 + { 2455295.50, 66.176125 }, //09 April 2010, UT1-UTC= 0.0078750, Accumulated Leap Seconds=34 + { 2455296.50, 66.177490 }, //10 April 2010, UT1-UTC= 0.0065104, Accumulated Leap Seconds=34 + { 2455297.50, 66.178941 }, //11 April 2010, UT1-UTC= 0.0050587, Accumulated Leap Seconds=34 + { 2455298.50, 66.180484 }, //12 April 2010, UT1-UTC= 0.0035160, Accumulated Leap Seconds=34 + { 2455299.50, 66.182041 }, //13 April 2010, UT1-UTC= 0.0019593, Accumulated Leap Seconds=34 + { 2455300.50, 66.183602 }, //14 April 2010, UT1-UTC= 0.0003977, Accumulated Leap Seconds=34 + { 2455301.50, 66.185095 }, //15 April 2010, UT1-UTC=-0.0010948, Accumulated Leap Seconds=34 + { 2455302.50, 66.186465 }, //16 April 2010, UT1-UTC=-0.0024650, Accumulated Leap Seconds=34 + { 2455303.50, 66.187674 }, //17 April 2010, UT1-UTC=-0.0036737, Accumulated Leap Seconds=34 + { 2455304.50, 66.188773 }, //18 April 2010, UT1-UTC=-0.0047732, Accumulated Leap Seconds=34 + { 2455305.50, 66.189804 }, //19 April 2010, UT1-UTC=-0.0058036, Accumulated Leap Seconds=34 + { 2455306.50, 66.190847 }, //20 April 2010, UT1-UTC=-0.0068473, Accumulated Leap Seconds=34 + { 2455307.50, 66.192001 }, //21 April 2010, UT1-UTC=-0.0080007, Accumulated Leap Seconds=34 + { 2455308.50, 66.193375 }, //22 April 2010, UT1-UTC=-0.0093746, Accumulated Leap Seconds=34 + { 2455309.50, 66.194972 }, //23 April 2010, UT1-UTC=-0.0109721, Accumulated Leap Seconds=34 + { 2455310.50, 66.196737 }, //24 April 2010, UT1-UTC=-0.0127370, Accumulated Leap Seconds=34 + { 2455311.50, 66.198615 }, //25 April 2010, UT1-UTC=-0.0146146, Accumulated Leap Seconds=34 + { 2455312.50, 66.200483 }, //26 April 2010, UT1-UTC=-0.0164828, Accumulated Leap Seconds=34 + { 2455313.50, 66.202294 }, //27 April 2010, UT1-UTC=-0.0182937, Accumulated Leap Seconds=34 + { 2455314.50, 66.203929 }, //28 April 2010, UT1-UTC=-0.0199293, Accumulated Leap Seconds=34 + { 2455315.50, 66.205277 }, //29 April 2010, UT1-UTC=-0.0212773, Accumulated Leap Seconds=34 + { 2455316.50, 66.206342 }, //30 April 2010, UT1-UTC=-0.0223424, Accumulated Leap Seconds=34 + { 2455317.50, 66.207163 }, //01 May 2010, UT1-UTC=-0.0231627, Accumulated Leap Seconds=34 + { 2455318.50, 66.207814 }, //02 May 2010, UT1-UTC=-0.0238145, Accumulated Leap Seconds=34 + { 2455319.50, 66.208384 }, //03 May 2010, UT1-UTC=-0.0243844, Accumulated Leap Seconds=34 + { 2455320.50, 66.208912 }, //04 May 2010, UT1-UTC=-0.0249123, Accumulated Leap Seconds=34 + { 2455321.50, 66.209471 }, //05 May 2010, UT1-UTC=-0.0254707, Accumulated Leap Seconds=34 + { 2455322.50, 66.210100 }, //06 May 2010, UT1-UTC=-0.0261002, Accumulated Leap Seconds=34 + { 2455323.50, 66.210831 }, //07 May 2010, UT1-UTC=-0.0268309, Accumulated Leap Seconds=34 + { 2455324.50, 66.211709 }, //08 May 2010, UT1-UTC=-0.0277086, Accumulated Leap Seconds=34 + { 2455325.50, 66.212753 }, //09 May 2010, UT1-UTC=-0.0287534, Accumulated Leap Seconds=34 + { 2455326.50, 66.213922 }, //10 May 2010, UT1-UTC=-0.0299219, Accumulated Leap Seconds=34 + { 2455327.50, 66.215144 }, //11 May 2010, UT1-UTC=-0.0311440, Accumulated Leap Seconds=34 + { 2455328.50, 66.216334 }, //12 May 2010, UT1-UTC=-0.0323336, Accumulated Leap Seconds=34 + { 2455329.50, 66.217396 }, //13 May 2010, UT1-UTC=-0.0333959, Accumulated Leap Seconds=34 + { 2455330.50, 66.218288 }, //14 May 2010, UT1-UTC=-0.0342881, Accumulated Leap Seconds=34 + { 2455331.50, 66.219000 }, //15 May 2010, UT1-UTC=-0.0349997, Accumulated Leap Seconds=34 + { 2455332.50, 66.219650 }, //16 May 2010, UT1-UTC=-0.0356503, Accumulated Leap Seconds=34 + { 2455333.50, 66.220347 }, //17 May 2010, UT1-UTC=-0.0363467, Accumulated Leap Seconds=34 + { 2455334.50, 66.221158 }, //18 May 2010, UT1-UTC=-0.0371575, Accumulated Leap Seconds=34 + { 2455335.50, 66.222217 }, //19 May 2010, UT1-UTC=-0.0382165, Accumulated Leap Seconds=34 + { 2455336.50, 66.223515 }, //20 May 2010, UT1-UTC=-0.0395151, Accumulated Leap Seconds=34 + { 2455337.50, 66.225017 }, //21 May 2010, UT1-UTC=-0.0410167, Accumulated Leap Seconds=34 + { 2455338.50, 66.226672 }, //22 May 2010, UT1-UTC=-0.0426724, Accumulated Leap Seconds=34 + { 2455339.50, 66.228362 }, //23 May 2010, UT1-UTC=-0.0443621, Accumulated Leap Seconds=34 + { 2455340.50, 66.229913 }, //24 May 2010, UT1-UTC=-0.0459129, Accumulated Leap Seconds=34 + { 2455341.50, 66.231226 }, //25 May 2010, UT1-UTC=-0.0472264, Accumulated Leap Seconds=34 + { 2455342.50, 66.232267 }, //26 May 2010, UT1-UTC=-0.0482667, Accumulated Leap Seconds=34 + { 2455343.50, 66.233091 }, //27 May 2010, UT1-UTC=-0.0490912, Accumulated Leap Seconds=34 + { 2455344.50, 66.233798 }, //28 May 2010, UT1-UTC=-0.0497983, Accumulated Leap Seconds=34 + { 2455345.50, 66.234343 }, //29 May 2010, UT1-UTC=-0.0503434, Accumulated Leap Seconds=34 + { 2455346.50, 66.234744 }, //30 May 2010, UT1-UTC=-0.0507442, Accumulated Leap Seconds=34 + { 2455347.50, 66.235122 }, //31 May 2010, UT1-UTC=-0.0511222, Accumulated Leap Seconds=34 + { 2455348.50, 66.235585 }, //01 June 2010, UT1-UTC=-0.0515846, Accumulated Leap Seconds=34 + { 2455349.50, 66.236161 }, //02 June 2010, UT1-UTC=-0.0521615, Accumulated Leap Seconds=34 + { 2455350.50, 66.236830 }, //03 June 2010, UT1-UTC=-0.0528302, Accumulated Leap Seconds=34 + { 2455351.50, 66.237573 }, //04 June 2010, UT1-UTC=-0.0535728, Accumulated Leap Seconds=34 + { 2455352.50, 66.238314 }, //05 June 2010, UT1-UTC=-0.0543140, Accumulated Leap Seconds=34 + { 2455353.50, 66.239023 }, //06 June 2010, UT1-UTC=-0.0550229, Accumulated Leap Seconds=34 + { 2455354.50, 66.239683 }, //07 June 2010, UT1-UTC=-0.0556829, Accumulated Leap Seconds=34 + { 2455355.50, 66.240219 }, //08 June 2010, UT1-UTC=-0.0562189, Accumulated Leap Seconds=34 + { 2455356.50, 66.240662 }, //09 June 2010, UT1-UTC=-0.0566620, Accumulated Leap Seconds=34 + { 2455357.50, 66.240971 }, //10 June 2010, UT1-UTC=-0.0569711, Accumulated Leap Seconds=34 + { 2455358.50, 66.241164 }, //11 June 2010, UT1-UTC=-0.0571637, Accumulated Leap Seconds=34 + { 2455359.50, 66.241245 }, //12 June 2010, UT1-UTC=-0.0572449, Accumulated Leap Seconds=34 + { 2455360.50, 66.241295 }, //13 June 2010, UT1-UTC=-0.0572951, Accumulated Leap Seconds=34 + { 2455361.50, 66.241395 }, //14 June 2010, UT1-UTC=-0.0573947, Accumulated Leap Seconds=34 + { 2455362.50, 66.241599 }, //15 June 2010, UT1-UTC=-0.0575990, Accumulated Leap Seconds=34 + { 2455363.50, 66.241950 }, //16 June 2010, UT1-UTC=-0.0579501, Accumulated Leap Seconds=34 + { 2455364.50, 66.242454 }, //17 June 2010, UT1-UTC=-0.0584543, Accumulated Leap Seconds=34 + { 2455365.50, 66.243089 }, //18 June 2010, UT1-UTC=-0.0590887, Accumulated Leap Seconds=34 + { 2455366.50, 66.243740 }, //19 June 2010, UT1-UTC=-0.0597400, Accumulated Leap Seconds=34 + { 2455367.50, 66.244198 }, //20 June 2010, UT1-UTC=-0.0601981, Accumulated Leap Seconds=34 + { 2455368.50, 66.244410 }, //21 June 2010, UT1-UTC=-0.0604096, Accumulated Leap Seconds=34 + { 2455369.50, 66.244405 }, //22 June 2010, UT1-UTC=-0.0604055, Accumulated Leap Seconds=34 + { 2455370.50, 66.244151 }, //23 June 2010, UT1-UTC=-0.0601505, Accumulated Leap Seconds=34 + { 2455371.50, 66.243702 }, //24 June 2010, UT1-UTC=-0.0597020, Accumulated Leap Seconds=34 + { 2455372.50, 66.243130 }, //25 June 2010, UT1-UTC=-0.0591297, Accumulated Leap Seconds=34 + { 2455373.50, 66.242516 }, //26 June 2010, UT1-UTC=-0.0585156, Accumulated Leap Seconds=34 + { 2455374.50, 66.241934 }, //27 June 2010, UT1-UTC=-0.0579343, Accumulated Leap Seconds=34 + { 2455375.50, 66.241444 }, //28 June 2010, UT1-UTC=-0.0574436, Accumulated Leap Seconds=34 + { 2455376.50, 66.241104 }, //29 June 2010, UT1-UTC=-0.0571041, Accumulated Leap Seconds=34 + { 2455377.50, 66.240915 }, //30 June 2010, UT1-UTC=-0.0569155, Accumulated Leap Seconds=34 + { 2455378.50, 66.240855 }, //01 July 2010, UT1-UTC=-0.0568549, Accumulated Leap Seconds=34 + { 2455379.50, 66.240831 }, //02 July 2010, UT1-UTC=-0.0568310, Accumulated Leap Seconds=34 + { 2455380.50, 66.240870 }, //03 July 2010, UT1-UTC=-0.0568704, Accumulated Leap Seconds=34 + { 2455381.50, 66.240906 }, //04 July 2010, UT1-UTC=-0.0569063, Accumulated Leap Seconds=34 + { 2455382.50, 66.240851 }, //05 July 2010, UT1-UTC=-0.0568509, Accumulated Leap Seconds=34 + { 2455383.50, 66.240669 }, //06 July 2010, UT1-UTC=-0.0566688, Accumulated Leap Seconds=34 + { 2455384.50, 66.240331 }, //07 July 2010, UT1-UTC=-0.0563313, Accumulated Leap Seconds=34 + { 2455385.50, 66.239821 }, //08 July 2010, UT1-UTC=-0.0558206, Accumulated Leap Seconds=34 + { 2455386.50, 66.239222 }, //09 July 2010, UT1-UTC=-0.0552222, Accumulated Leap Seconds=34 + { 2455387.50, 66.238605 }, //10 July 2010, UT1-UTC=-0.0546055, Accumulated Leap Seconds=34 + { 2455388.50, 66.238066 }, //11 July 2010, UT1-UTC=-0.0540657, Accumulated Leap Seconds=34 + { 2455389.50, 66.237671 }, //12 July 2010, UT1-UTC=-0.0536709, Accumulated Leap Seconds=34 + { 2455390.50, 66.237482 }, //13 July 2010, UT1-UTC=-0.0534821, Accumulated Leap Seconds=34 + { 2455391.50, 66.237544 }, //14 July 2010, UT1-UTC=-0.0535439, Accumulated Leap Seconds=34 + { 2455392.50, 66.237765 }, //15 July 2010, UT1-UTC=-0.0537651, Accumulated Leap Seconds=34 + { 2455393.50, 66.238068 }, //16 July 2010, UT1-UTC=-0.0540685, Accumulated Leap Seconds=34 + { 2455394.50, 66.238389 }, //17 July 2010, UT1-UTC=-0.0543890, Accumulated Leap Seconds=34 + { 2455395.50, 66.238576 }, //18 July 2010, UT1-UTC=-0.0545765, Accumulated Leap Seconds=34 + { 2455396.50, 66.238628 }, //19 July 2010, UT1-UTC=-0.0546280, Accumulated Leap Seconds=34 + { 2455397.50, 66.238429 }, //20 July 2010, UT1-UTC=-0.0544292, Accumulated Leap Seconds=34 + { 2455398.50, 66.238012 }, //21 July 2010, UT1-UTC=-0.0540123, Accumulated Leap Seconds=34 + { 2455399.50, 66.237377 }, //22 July 2010, UT1-UTC=-0.0533767, Accumulated Leap Seconds=34 + { 2455400.50, 66.236603 }, //23 July 2010, UT1-UTC=-0.0526032, Accumulated Leap Seconds=34 + { 2455401.50, 66.235877 }, //24 July 2010, UT1-UTC=-0.0518769, Accumulated Leap Seconds=34 + { 2455402.50, 66.235168 }, //25 July 2010, UT1-UTC=-0.0511681, Accumulated Leap Seconds=34 + { 2455403.50, 66.234588 }, //26 July 2010, UT1-UTC=-0.0505881, Accumulated Leap Seconds=34 + { 2455404.50, 66.234194 }, //27 July 2010, UT1-UTC=-0.0501943, Accumulated Leap Seconds=34 + { 2455405.50, 66.233977 }, //28 July 2010, UT1-UTC=-0.0499766, Accumulated Leap Seconds=34 + { 2455406.50, 66.233863 }, //29 July 2010, UT1-UTC=-0.0498633, Accumulated Leap Seconds=34 + { 2455407.50, 66.233779 }, //30 July 2010, UT1-UTC=-0.0497795, Accumulated Leap Seconds=34 + { 2455408.50, 66.233695 }, //31 July 2010, UT1-UTC=-0.0496946, Accumulated Leap Seconds=34 + { 2455409.50, 66.233542 }, //01 August 2010, UT1-UTC=-0.0495423, Accumulated Leap Seconds=34 + { 2455410.50, 66.233293 }, //02 August 2010, UT1-UTC=-0.0492932, Accumulated Leap Seconds=34 + { 2455411.50, 66.232951 }, //03 August 2010, UT1-UTC=-0.0489515, Accumulated Leap Seconds=34 + { 2455412.50, 66.232559 }, //04 August 2010, UT1-UTC=-0.0485588, Accumulated Leap Seconds=34 + { 2455413.50, 66.232122 }, //05 August 2010, UT1-UTC=-0.0481220, Accumulated Leap Seconds=34 + { 2455414.50, 66.231680 }, //06 August 2010, UT1-UTC=-0.0476799, Accumulated Leap Seconds=34 + { 2455415.50, 66.231278 }, //07 August 2010, UT1-UTC=-0.0472782, Accumulated Leap Seconds=34 + { 2455416.50, 66.231034 }, //08 August 2010, UT1-UTC=-0.0470343, Accumulated Leap Seconds=34 + { 2455417.50, 66.231043 }, //09 August 2010, UT1-UTC=-0.0470428, Accumulated Leap Seconds=34 + { 2455418.50, 66.231350 }, //10 August 2010, UT1-UTC=-0.0473497, Accumulated Leap Seconds=34 + { 2455419.50, 66.231949 }, //11 August 2010, UT1-UTC=-0.0479491, Accumulated Leap Seconds=34 + { 2455420.50, 66.232700 }, //12 August 2010, UT1-UTC=-0.0487004, Accumulated Leap Seconds=34 + { 2455421.50, 66.233431 }, //13 August 2010, UT1-UTC=-0.0494313, Accumulated Leap Seconds=34 + { 2455422.50, 66.234052 }, //14 August 2010, UT1-UTC=-0.0500523, Accumulated Leap Seconds=34 + { 2455423.50, 66.234458 }, //15 August 2010, UT1-UTC=-0.0504581, Accumulated Leap Seconds=34 + { 2455424.50, 66.234607 }, //16 August 2010, UT1-UTC=-0.0506069, Accumulated Leap Seconds=34 + { 2455425.50, 66.234533 }, //17 August 2010, UT1-UTC=-0.0505327, Accumulated Leap Seconds=34 + { 2455426.50, 66.234245 }, //18 August 2010, UT1-UTC=-0.0502453, Accumulated Leap Seconds=34 + { 2455427.50, 66.233850 }, //19 August 2010, UT1-UTC=-0.0498500, Accumulated Leap Seconds=34 + { 2455428.50, 66.233468 }, //20 August 2010, UT1-UTC=-0.0494675, Accumulated Leap Seconds=34 + { 2455429.50, 66.233140 }, //21 August 2010, UT1-UTC=-0.0491402, Accumulated Leap Seconds=34 + { 2455430.50, 66.232922 }, //22 August 2010, UT1-UTC=-0.0489221, Accumulated Leap Seconds=34 + { 2455431.50, 66.232900 }, //23 August 2010, UT1-UTC=-0.0489005, Accumulated Leap Seconds=34 + { 2455432.50, 66.233039 }, //24 August 2010, UT1-UTC=-0.0490389, Accumulated Leap Seconds=34 + { 2455433.50, 66.233263 }, //25 August 2010, UT1-UTC=-0.0492630, Accumulated Leap Seconds=34 + { 2455434.50, 66.233602 }, //26 August 2010, UT1-UTC=-0.0496017, Accumulated Leap Seconds=34 + { 2455435.50, 66.234004 }, //27 August 2010, UT1-UTC=-0.0500041, Accumulated Leap Seconds=34 + { 2455436.50, 66.234340 }, //28 August 2010, UT1-UTC=-0.0503404, Accumulated Leap Seconds=34 + { 2455437.50, 66.234617 }, //29 August 2010, UT1-UTC=-0.0506168, Accumulated Leap Seconds=34 + { 2455438.50, 66.234808 }, //30 August 2010, UT1-UTC=-0.0508076, Accumulated Leap Seconds=34 + { 2455439.50, 66.234902 }, //31 August 2010, UT1-UTC=-0.0509022, Accumulated Leap Seconds=34 + { 2455440.50, 66.234911 }, //01 September 2010, UT1-UTC=-0.0509107, Accumulated Leap Seconds=34 + { 2455441.50, 66.234825 }, //02 September 2010, UT1-UTC=-0.0508249, Accumulated Leap Seconds=34 + { 2455442.50, 66.234738 }, //03 September 2010, UT1-UTC=-0.0507385, Accumulated Leap Seconds=34 + { 2455443.50, 66.234710 }, //04 September 2010, UT1-UTC=-0.0507099, Accumulated Leap Seconds=34 + { 2455444.50, 66.234841 }, //05 September 2010, UT1-UTC=-0.0508409, Accumulated Leap Seconds=34 + { 2455445.50, 66.235231 }, //06 September 2010, UT1-UTC=-0.0512306, Accumulated Leap Seconds=34 + { 2455446.50, 66.235918 }, //07 September 2010, UT1-UTC=-0.0519176, Accumulated Leap Seconds=34 + { 2455447.50, 66.236850 }, //08 September 2010, UT1-UTC=-0.0528496, Accumulated Leap Seconds=34 + { 2455448.50, 66.237928 }, //09 September 2010, UT1-UTC=-0.0539279, Accumulated Leap Seconds=34 + { 2455449.50, 66.238966 }, //10 September 2010, UT1-UTC=-0.0549659, Accumulated Leap Seconds=34 + { 2455450.50, 66.239764 }, //11 September 2010, UT1-UTC=-0.0557636, Accumulated Leap Seconds=34 + { 2455451.50, 66.240296 }, //12 September 2010, UT1-UTC=-0.0562956, Accumulated Leap Seconds=34 + { 2455452.50, 66.240550 }, //13 September 2010, UT1-UTC=-0.0565504, Accumulated Leap Seconds=34 + { 2455453.50, 66.240555 }, //14 September 2010, UT1-UTC=-0.0565547, Accumulated Leap Seconds=34 + { 2455454.50, 66.240429 }, //15 September 2010, UT1-UTC=-0.0564287, Accumulated Leap Seconds=34 + { 2455455.50, 66.240295 }, //16 September 2010, UT1-UTC=-0.0562948, Accumulated Leap Seconds=34 + { 2455456.50, 66.240185 }, //17 September 2010, UT1-UTC=-0.0561851, Accumulated Leap Seconds=34 + { 2455457.50, 66.240175 }, //18 September 2010, UT1-UTC=-0.0561754, Accumulated Leap Seconds=34 + { 2455458.50, 66.240306 }, //19 September 2010, UT1-UTC=-0.0563058, Accumulated Leap Seconds=34 + { 2455459.50, 66.240562 }, //20 September 2010, UT1-UTC=-0.0565618, Accumulated Leap Seconds=34 + { 2455460.50, 66.240912 }, //21 September 2010, UT1-UTC=-0.0569117, Accumulated Leap Seconds=34 + { 2455461.50, 66.241303 }, //22 September 2010, UT1-UTC=-0.0573028, Accumulated Leap Seconds=34 + { 2455462.50, 66.241760 }, //23 September 2010, UT1-UTC=-0.0577600, Accumulated Leap Seconds=34 + { 2455463.50, 66.242270 }, //24 September 2010, UT1-UTC=-0.0582699, Accumulated Leap Seconds=34 + { 2455464.50, 66.242724 }, //25 September 2010, UT1-UTC=-0.0587245, Accumulated Leap Seconds=34 + { 2455465.50, 66.243157 }, //26 September 2010, UT1-UTC=-0.0591569, Accumulated Leap Seconds=34 + { 2455466.50, 66.243488 }, //27 September 2010, UT1-UTC=-0.0594877, Accumulated Leap Seconds=34 + { 2455467.50, 66.243681 }, //28 September 2010, UT1-UTC=-0.0596806, Accumulated Leap Seconds=34 + { 2455468.50, 66.243792 }, //29 September 2010, UT1-UTC=-0.0597925, Accumulated Leap Seconds=34 + { 2455469.50, 66.243891 }, //30 September 2010, UT1-UTC=-0.0598906, Accumulated Leap Seconds=34 + { 2455470.50, 66.244109 }, //01 October 2010, UT1-UTC=-0.0601095, Accumulated Leap Seconds=34 + { 2455471.50, 66.244452 }, //02 October 2010, UT1-UTC=-0.0604520, Accumulated Leap Seconds=34 + { 2455472.50, 66.245093 }, //03 October 2010, UT1-UTC=-0.0610928, Accumulated Leap Seconds=34 + { 2455473.50, 66.246128 }, //04 October 2010, UT1-UTC=-0.0621279, Accumulated Leap Seconds=34 + { 2455474.50, 66.247487 }, //05 October 2010, UT1-UTC=-0.0634867, Accumulated Leap Seconds=34 + { 2455475.50, 66.249099 }, //06 October 2010, UT1-UTC=-0.0650995, Accumulated Leap Seconds=34 + { 2455476.50, 66.250808 }, //07 October 2010, UT1-UTC=-0.0668083, Accumulated Leap Seconds=34 + { 2455477.50, 66.252434 }, //08 October 2010, UT1-UTC=-0.0684337, Accumulated Leap Seconds=34 + { 2455478.50, 66.253847 }, //09 October 2010, UT1-UTC=-0.0698473, Accumulated Leap Seconds=34 + { 2455479.50, 66.255041 }, //10 October 2010, UT1-UTC=-0.0710410, Accumulated Leap Seconds=34 + { 2455480.50, 66.256012 }, //11 October 2010, UT1-UTC=-0.0720120, Accumulated Leap Seconds=34 + { 2455481.50, 66.256833 }, //12 October 2010, UT1-UTC=-0.0728332, Accumulated Leap Seconds=34 + { 2455482.50, 66.257611 }, //13 October 2010, UT1-UTC=-0.0736113, Accumulated Leap Seconds=34 + { 2455483.50, 66.258373 }, //14 October 2010, UT1-UTC=-0.0743731, Accumulated Leap Seconds=34 + { 2455484.50, 66.259218 }, //15 October 2010, UT1-UTC=-0.0752176, Accumulated Leap Seconds=34 + { 2455485.50, 66.260108 }, //16 October 2010, UT1-UTC=-0.0761076, Accumulated Leap Seconds=34 + { 2455486.50, 66.261084 }, //17 October 2010, UT1-UTC=-0.0770841, Accumulated Leap Seconds=34 + { 2455487.50, 66.262177 }, //18 October 2010, UT1-UTC=-0.0781773, Accumulated Leap Seconds=34 + { 2455488.50, 66.263346 }, //19 October 2010, UT1-UTC=-0.0793457, Accumulated Leap Seconds=34 + { 2455489.50, 66.264591 }, //20 October 2010, UT1-UTC=-0.0805907, Accumulated Leap Seconds=34 + { 2455490.50, 66.265813 }, //21 October 2010, UT1-UTC=-0.0818131, Accumulated Leap Seconds=34 + { 2455491.50, 66.266943 }, //22 October 2010, UT1-UTC=-0.0829431, Accumulated Leap Seconds=34 + { 2455492.50, 66.267955 }, //23 October 2010, UT1-UTC=-0.0839553, Accumulated Leap Seconds=34 + { 2455493.50, 66.268807 }, //24 October 2010, UT1-UTC=-0.0848073, Accumulated Leap Seconds=34 + { 2455494.50, 66.269519 }, //25 October 2010, UT1-UTC=-0.0855185, Accumulated Leap Seconds=34 + { 2455495.50, 66.270120 }, //26 October 2010, UT1-UTC=-0.0861200, Accumulated Leap Seconds=34 + { 2455496.50, 66.270661 }, //27 October 2010, UT1-UTC=-0.0866612, Accumulated Leap Seconds=34 + { 2455497.50, 66.271193 }, //28 October 2010, UT1-UTC=-0.0871935, Accumulated Leap Seconds=34 + { 2455498.50, 66.271830 }, //29 October 2010, UT1-UTC=-0.0878296, Accumulated Leap Seconds=34 + { 2455499.50, 66.272654 }, //30 October 2010, UT1-UTC=-0.0886538, Accumulated Leap Seconds=34 + { 2455500.50, 66.273736 }, //31 October 2010, UT1-UTC=-0.0897362, Accumulated Leap Seconds=34 + { 2455501.50, 66.275112 }, //01 November 2010, UT1-UTC=-0.0911123, Accumulated Leap Seconds=34 + { 2455502.50, 66.276715 }, //02 November 2010, UT1-UTC=-0.0927155, Accumulated Leap Seconds=34 + { 2455503.50, 66.278454 }, //03 November 2010, UT1-UTC=-0.0944538, Accumulated Leap Seconds=34 + { 2455504.50, 66.280154 }, //04 November 2010, UT1-UTC=-0.0961543, Accumulated Leap Seconds=34 + { 2455505.50, 66.281713 }, //05 November 2010, UT1-UTC=-0.0977133, Accumulated Leap Seconds=34 + { 2455506.50, 66.283068 }, //06 November 2010, UT1-UTC=-0.0990679, Accumulated Leap Seconds=34 + { 2455507.50, 66.284154 }, //07 November 2010, UT1-UTC=-0.1001542, Accumulated Leap Seconds=34 + { 2455508.50, 66.284979 }, //08 November 2010, UT1-UTC=-0.1009786, Accumulated Leap Seconds=34 + { 2455509.50, 66.285671 }, //09 November 2010, UT1-UTC=-0.1016712, Accumulated Leap Seconds=34 + { 2455510.50, 66.286256 }, //10 November 2010, UT1-UTC=-0.1022564, Accumulated Leap Seconds=34 + { 2455511.50, 66.286845 }, //11 November 2010, UT1-UTC=-0.1028446, Accumulated Leap Seconds=34 + { 2455512.50, 66.287528 }, //12 November 2010, UT1-UTC=-0.1035280, Accumulated Leap Seconds=34 + { 2455513.50, 66.288345 }, //13 November 2010, UT1-UTC=-0.1043448, Accumulated Leap Seconds=34 + { 2455514.50, 66.289325 }, //14 November 2010, UT1-UTC=-0.1053251, Accumulated Leap Seconds=34 + { 2455515.50, 66.290422 }, //15 November 2010, UT1-UTC=-0.1064222, Accumulated Leap Seconds=34 + { 2455516.50, 66.291587 }, //16 November 2010, UT1-UTC=-0.1075873, Accumulated Leap Seconds=34 + { 2455517.50, 66.292771 }, //17 November 2010, UT1-UTC=-0.1087714, Accumulated Leap Seconds=34 + { 2455518.50, 66.293877 }, //18 November 2010, UT1-UTC=-0.1098769, Accumulated Leap Seconds=34 + { 2455519.50, 66.294896 }, //19 November 2010, UT1-UTC=-0.1108959, Accumulated Leap Seconds=34 + { 2455520.50, 66.295736 }, //20 November 2010, UT1-UTC=-0.1117357, Accumulated Leap Seconds=34 + { 2455521.50, 66.296411 }, //21 November 2010, UT1-UTC=-0.1124108, Accumulated Leap Seconds=34 + { 2455522.50, 66.296971 }, //22 November 2010, UT1-UTC=-0.1129715, Accumulated Leap Seconds=34 + { 2455523.50, 66.297459 }, //23 November 2010, UT1-UTC=-0.1134586, Accumulated Leap Seconds=34 + { 2455524.50, 66.297951 }, //24 November 2010, UT1-UTC=-0.1139513, Accumulated Leap Seconds=34 + { 2455525.50, 66.298507 }, //25 November 2010, UT1-UTC=-0.1145072, Accumulated Leap Seconds=34 + { 2455526.50, 66.299206 }, //26 November 2010, UT1-UTC=-0.1152063, Accumulated Leap Seconds=34 + { 2455527.50, 66.300132 }, //27 November 2010, UT1-UTC=-0.1161318, Accumulated Leap Seconds=34 + { 2455528.50, 66.301321 }, //28 November 2010, UT1-UTC=-0.1173210, Accumulated Leap Seconds=34 + { 2455529.50, 66.302681 }, //29 November 2010, UT1-UTC=-0.1186808, Accumulated Leap Seconds=34 + { 2455530.50, 66.304064 }, //30 November 2010, UT1-UTC=-0.1200639, Accumulated Leap Seconds=34 + { 2455531.50, 66.305433 }, //01 December 2010, UT1-UTC=-0.1214334, Accumulated Leap Seconds=34 + { 2455532.50, 66.306668 }, //02 December 2010, UT1-UTC=-0.1226680, Accumulated Leap Seconds=34 + { 2455533.50, 66.307665 }, //03 December 2010, UT1-UTC=-0.1236645, Accumulated Leap Seconds=34 + { 2455534.50, 66.308405 }, //04 December 2010, UT1-UTC=-0.1244053, Accumulated Leap Seconds=34 + { 2455535.50, 66.308931 }, //05 December 2010, UT1-UTC=-0.1249308, Accumulated Leap Seconds=34 + { 2455536.50, 66.309362 }, //06 December 2010, UT1-UTC=-0.1253618, Accumulated Leap Seconds=34 + { 2455537.50, 66.309777 }, //07 December 2010, UT1-UTC=-0.1257772, Accumulated Leap Seconds=34 + { 2455538.50, 66.310247 }, //08 December 2010, UT1-UTC=-0.1262471, Accumulated Leap Seconds=34 + { 2455539.50, 66.310798 }, //09 December 2010, UT1-UTC=-0.1267983, Accumulated Leap Seconds=34 + { 2455540.50, 66.311468 }, //10 December 2010, UT1-UTC=-0.1274676, Accumulated Leap Seconds=34 + { 2455541.50, 66.312185 }, //11 December 2010, UT1-UTC=-0.1281845, Accumulated Leap Seconds=34 + { 2455542.50, 66.312905 }, //12 December 2010, UT1-UTC=-0.1289045, Accumulated Leap Seconds=34 + { 2455543.50, 66.313618 }, //13 December 2010, UT1-UTC=-0.1296181, Accumulated Leap Seconds=34 + { 2455544.50, 66.314344 }, //14 December 2010, UT1-UTC=-0.1303443, Accumulated Leap Seconds=34 + { 2455545.50, 66.314985 }, //15 December 2010, UT1-UTC=-0.1309848, Accumulated Leap Seconds=34 + { 2455546.50, 66.315537 }, //16 December 2010, UT1-UTC=-0.1315368, Accumulated Leap Seconds=34 + { 2455547.50, 66.316037 }, //17 December 2010, UT1-UTC=-0.1320367, Accumulated Leap Seconds=34 + { 2455548.50, 66.316416 }, //18 December 2010, UT1-UTC=-0.1324163, Accumulated Leap Seconds=34 + { 2455549.50, 66.316690 }, //19 December 2010, UT1-UTC=-0.1326901, Accumulated Leap Seconds=34 + { 2455550.50, 66.316824 }, //20 December 2010, UT1-UTC=-0.1328237, Accumulated Leap Seconds=34 + { 2455551.50, 66.316898 }, //21 December 2010, UT1-UTC=-0.1328980, Accumulated Leap Seconds=34 + { 2455552.50, 66.317098 }, //22 December 2010, UT1-UTC=-0.1330978, Accumulated Leap Seconds=34 + { 2455553.50, 66.317441 }, //23 December 2010, UT1-UTC=-0.1334410, Accumulated Leap Seconds=34 + { 2455554.50, 66.317993 }, //24 December 2010, UT1-UTC=-0.1339930, Accumulated Leap Seconds=34 + { 2455555.50, 66.318751 }, //25 December 2010, UT1-UTC=-0.1347515, Accumulated Leap Seconds=34 + { 2455556.50, 66.319706 }, //26 December 2010, UT1-UTC=-0.1357064, Accumulated Leap Seconds=34 + { 2455557.50, 66.320822 }, //27 December 2010, UT1-UTC=-0.1368218, Accumulated Leap Seconds=34 + { 2455558.50, 66.321940 }, //28 December 2010, UT1-UTC=-0.1379396, Accumulated Leap Seconds=34 + { 2455559.50, 66.322930 }, //29 December 2010, UT1-UTC=-0.1389297, Accumulated Leap Seconds=34 + { 2455560.50, 66.323653 }, //30 December 2010, UT1-UTC=-0.1396535, Accumulated Leap Seconds=34 + { 2455561.50, 66.324224 }, //31 December 2010, UT1-UTC=-0.1402235, Accumulated Leap Seconds=34 + { 2455562.50, 66.324557 }, //01 January 2011, UT1-UTC=-0.1405568, Accumulated Leap Seconds=34 + { 2455563.50, 66.324785 }, //02 January 2011, UT1-UTC=-0.1407850, Accumulated Leap Seconds=34 + { 2455564.50, 66.324970 }, //03 January 2011, UT1-UTC=-0.1409701, Accumulated Leap Seconds=34 + { 2455565.50, 66.325132 }, //04 January 2011, UT1-UTC=-0.1411325, Accumulated Leap Seconds=34 + { 2455566.50, 66.325341 }, //05 January 2011, UT1-UTC=-0.1413415, Accumulated Leap Seconds=34 + { 2455567.50, 66.325639 }, //06 January 2011, UT1-UTC=-0.1416387, Accumulated Leap Seconds=34 + { 2455568.50, 66.326066 }, //07 January 2011, UT1-UTC=-0.1420664, Accumulated Leap Seconds=34 + { 2455569.50, 66.326575 }, //08 January 2011, UT1-UTC=-0.1425749, Accumulated Leap Seconds=34 + { 2455570.50, 66.327127 }, //09 January 2011, UT1-UTC=-0.1431271, Accumulated Leap Seconds=34 + { 2455571.50, 66.327732 }, //10 January 2011, UT1-UTC=-0.1437316, Accumulated Leap Seconds=34 + { 2455572.50, 66.328327 }, //11 January 2011, UT1-UTC=-0.1443269, Accumulated Leap Seconds=34 + { 2455573.50, 66.328907 }, //12 January 2011, UT1-UTC=-0.1449070, Accumulated Leap Seconds=34 + { 2455574.50, 66.329462 }, //13 January 2011, UT1-UTC=-0.1454623, Accumulated Leap Seconds=34 + { 2455575.50, 66.329950 }, //14 January 2011, UT1-UTC=-0.1459496, Accumulated Leap Seconds=34 + { 2455576.50, 66.330323 }, //15 January 2011, UT1-UTC=-0.1463227, Accumulated Leap Seconds=34 + { 2455577.50, 66.330633 }, //16 January 2011, UT1-UTC=-0.1466326, Accumulated Leap Seconds=34 + { 2455578.50, 66.330896 }, //17 January 2011, UT1-UTC=-0.1468964, Accumulated Leap Seconds=34 + { 2455579.50, 66.331177 }, //18 January 2011, UT1-UTC=-0.1471767, Accumulated Leap Seconds=34 + { 2455580.50, 66.331560 }, //19 January 2011, UT1-UTC=-0.1475601, Accumulated Leap Seconds=34 + { 2455581.50, 66.332076 }, //20 January 2011, UT1-UTC=-0.1480758, Accumulated Leap Seconds=34 + { 2455582.50, 66.332800 }, //21 January 2011, UT1-UTC=-0.1488003, Accumulated Leap Seconds=34 + { 2455583.50, 66.333707 }, //22 January 2011, UT1-UTC=-0.1497068, Accumulated Leap Seconds=34 + { 2455584.50, 66.334817 }, //23 January 2011, UT1-UTC=-0.1508170, Accumulated Leap Seconds=34 + { 2455585.50, 66.335998 }, //24 January 2011, UT1-UTC=-0.1519977, Accumulated Leap Seconds=34 + { 2455586.50, 66.337088 }, //25 January 2011, UT1-UTC=-0.1530882, Accumulated Leap Seconds=34 + { 2455587.50, 66.338013 }, //26 January 2011, UT1-UTC=-0.1540134, Accumulated Leap Seconds=34 + { 2455588.50, 66.338725 }, //27 January 2011, UT1-UTC=-0.1547247, Accumulated Leap Seconds=34 + { 2455589.50, 66.339224 }, //28 January 2011, UT1-UTC=-0.1552242, Accumulated Leap Seconds=34 + { 2455590.50, 66.339582 }, //29 January 2011, UT1-UTC=-0.1555816, Accumulated Leap Seconds=34 + { 2455591.50, 66.339891 }, //30 January 2011, UT1-UTC=-0.1558913, Accumulated Leap Seconds=34 + { 2455592.50, 66.340204 }, //31 January 2011, UT1-UTC=-0.1562042, Accumulated Leap Seconds=34 + { 2455593.50, 66.340571 }, //01 February 2011, UT1-UTC=-0.1565713, Accumulated Leap Seconds=34 + { 2455594.50, 66.341039 }, //02 February 2011, UT1-UTC=-0.1570388, Accumulated Leap Seconds=34 + { 2455595.50, 66.341684 }, //03 February 2011, UT1-UTC=-0.1576845, Accumulated Leap Seconds=34 + { 2455596.50, 66.342418 }, //04 February 2011, UT1-UTC=-0.1584176, Accumulated Leap Seconds=34 + { 2455597.50, 66.343240 }, //05 February 2011, UT1-UTC=-0.1592403, Accumulated Leap Seconds=34 + { 2455598.50, 66.343998 }, //06 February 2011, UT1-UTC=-0.1599975, Accumulated Leap Seconds=34 + { 2455599.50, 66.344757 }, //07 February 2011, UT1-UTC=-0.1607568, Accumulated Leap Seconds=34 + { 2455600.50, 66.345460 }, //08 February 2011, UT1-UTC=-0.1614604, Accumulated Leap Seconds=34 + { 2455601.50, 66.346080 }, //09 February 2011, UT1-UTC=-0.1620804, Accumulated Leap Seconds=34 + { 2455602.50, 66.346624 }, //10 February 2011, UT1-UTC=-0.1626243, Accumulated Leap Seconds=34 + { 2455603.50, 66.347087 }, //11 February 2011, UT1-UTC=-0.1630870, Accumulated Leap Seconds=34 + { 2455604.50, 66.347470 }, //12 February 2011, UT1-UTC=-0.1634699, Accumulated Leap Seconds=34 + { 2455605.50, 66.347815 }, //13 February 2011, UT1-UTC=-0.1638153, Accumulated Leap Seconds=34 + { 2455606.50, 66.348176 }, //14 February 2011, UT1-UTC=-0.1641760, Accumulated Leap Seconds=34 + { 2455607.50, 66.348659 }, //15 February 2011, UT1-UTC=-0.1646592, Accumulated Leap Seconds=34 + { 2455608.50, 66.349365 }, //16 February 2011, UT1-UTC=-0.1653654, Accumulated Leap Seconds=34 + { 2455609.50, 66.350349 }, //17 February 2011, UT1-UTC=-0.1663492, Accumulated Leap Seconds=34 + { 2455610.50, 66.351653 }, //18 February 2011, UT1-UTC=-0.1676529, Accumulated Leap Seconds=34 + { 2455611.50, 66.353142 }, //19 February 2011, UT1-UTC=-0.1691421, Accumulated Leap Seconds=34 + { 2455612.50, 66.354763 }, //20 February 2011, UT1-UTC=-0.1707627, Accumulated Leap Seconds=34 + { 2455613.50, 66.356391 }, //21 February 2011, UT1-UTC=-0.1723914, Accumulated Leap Seconds=34 + { 2455614.50, 66.357827 }, //22 February 2011, UT1-UTC=-0.1738274, Accumulated Leap Seconds=34 + { 2455615.50, 66.358998 }, //23 February 2011, UT1-UTC=-0.1749979, Accumulated Leap Seconds=34 + { 2455616.50, 66.359847 }, //24 February 2011, UT1-UTC=-0.1758466, Accumulated Leap Seconds=34 + { 2455617.50, 66.360475 }, //25 February 2011, UT1-UTC=-0.1764754, Accumulated Leap Seconds=34 + { 2455618.50, 66.360951 }, //26 February 2011, UT1-UTC=-0.1769511, Accumulated Leap Seconds=34 + { 2455619.50, 66.361393 }, //27 February 2011, UT1-UTC=-0.1773927, Accumulated Leap Seconds=34 + { 2455620.50, 66.361836 }, //28 February 2011, UT1-UTC=-0.1778362, Accumulated Leap Seconds=34 + { 2455621.50, 66.362443 }, //01 March 2011, UT1-UTC=-0.1784433, Accumulated Leap Seconds=34 + { 2455622.50, 66.363192 }, //02 March 2011, UT1-UTC=-0.1791925, Accumulated Leap Seconds=34 + { 2455623.50, 66.364080 }, //03 March 2011, UT1-UTC=-0.1800797, Accumulated Leap Seconds=34 + { 2455624.50, 66.365156 }, //04 March 2011, UT1-UTC=-0.1811560, Accumulated Leap Seconds=34 + { 2455625.50, 66.366322 }, //05 March 2011, UT1-UTC=-0.1823223, Accumulated Leap Seconds=34 + { 2455626.50, 66.367533 }, //06 March 2011, UT1-UTC=-0.1835329, Accumulated Leap Seconds=34 + { 2455627.50, 66.368703 }, //07 March 2011, UT1-UTC=-0.1847033, Accumulated Leap Seconds=34 + { 2455628.50, 66.369749 }, //08 March 2011, UT1-UTC=-0.1857495, Accumulated Leap Seconds=34 + { 2455629.50, 66.370738 }, //09 March 2011, UT1-UTC=-0.1867381, Accumulated Leap Seconds=34 + { 2455630.50, 66.371623 }, //10 March 2011, UT1-UTC=-0.1876230, Accumulated Leap Seconds=34 + { 2455631.50, 66.372399 }, //11 March 2011, UT1-UTC=-0.1883986, Accumulated Leap Seconds=34 + { 2455632.50, 66.373121 }, //12 March 2011, UT1-UTC=-0.1891211, Accumulated Leap Seconds=34 + { 2455633.50, 66.373684 }, //13 March 2011, UT1-UTC=-0.1896843, Accumulated Leap Seconds=34 + { 2455634.50, 66.374292 }, //14 March 2011, UT1-UTC=-0.1902920, Accumulated Leap Seconds=34 + { 2455635.50, 66.375023 }, //15 March 2011, UT1-UTC=-0.1910232, Accumulated Leap Seconds=34 + { 2455636.50, 66.375995 }, //16 March 2011, UT1-UTC=-0.1919951, Accumulated Leap Seconds=34 + { 2455637.50, 66.377222 }, //17 March 2011, UT1-UTC=-0.1932222, Accumulated Leap Seconds=34 + { 2455638.50, 66.378652 }, //18 March 2011, UT1-UTC=-0.1946523, Accumulated Leap Seconds=34 + { 2455639.50, 66.380212 }, //19 March 2011, UT1-UTC=-0.1962118, Accumulated Leap Seconds=34 + { 2455640.50, 66.381805 }, //20 March 2011, UT1-UTC=-0.1978045, Accumulated Leap Seconds=34 + { 2455641.50, 66.383341 }, //21 March 2011, UT1-UTC=-0.1993411, Accumulated Leap Seconds=34 + { 2455642.50, 66.384722 }, //22 March 2011, UT1-UTC=-0.2007220, Accumulated Leap Seconds=34 + { 2455643.50, 66.385833 }, //23 March 2011, UT1-UTC=-0.2018334, Accumulated Leap Seconds=34 + { 2455644.50, 66.386757 }, //24 March 2011, UT1-UTC=-0.2027574, Accumulated Leap Seconds=34 + { 2455645.50, 66.387553 }, //25 March 2011, UT1-UTC=-0.2035533, Accumulated Leap Seconds=34 + { 2455646.50, 66.388432 }, //26 March 2011, UT1-UTC=-0.2044324, Accumulated Leap Seconds=34 + { 2455647.50, 66.389311 }, //27 March 2011, UT1-UTC=-0.2053112, Accumulated Leap Seconds=34 + { 2455648.50, 66.390333 }, //28 March 2011, UT1-UTC=-0.2063335, Accumulated Leap Seconds=34 + { 2455649.50, 66.391520 }, //29 March 2011, UT1-UTC=-0.2075201, Accumulated Leap Seconds=34 + { 2455650.50, 66.392848 }, //30 March 2011, UT1-UTC=-0.2088485, Accumulated Leap Seconds=34 + { 2455651.50, 66.394234 }, //31 March 2011, UT1-UTC=-0.2102342, Accumulated Leap Seconds=34 + { 2455652.50, 66.395710 }, //01 April 2011, UT1-UTC=-0.2117101, Accumulated Leap Seconds=34 + { 2455653.50, 66.397193 }, //02 April 2011, UT1-UTC=-0.2131933, Accumulated Leap Seconds=34 + { 2455654.50, 66.398686 }, //03 April 2011, UT1-UTC=-0.2146861, Accumulated Leap Seconds=34 + { 2455655.50, 66.400058 }, //04 April 2011, UT1-UTC=-0.2160584, Accumulated Leap Seconds=34 + { 2455656.50, 66.401272 }, //05 April 2011, UT1-UTC=-0.2172718, Accumulated Leap Seconds=34 + { 2455657.50, 66.402318 }, //06 April 2011, UT1-UTC=-0.2183180, Accumulated Leap Seconds=34 + { 2455658.50, 66.403231 }, //07 April 2011, UT1-UTC=-0.2192312, Accumulated Leap Seconds=34 + { 2455659.50, 66.403987 }, //08 April 2011, UT1-UTC=-0.2199870, Accumulated Leap Seconds=34 + { 2455660.50, 66.404727 }, //09 April 2011, UT1-UTC=-0.2207270, Accumulated Leap Seconds=34 + { 2455661.50, 66.405490 }, //10 April 2011, UT1-UTC=-0.2214895, Accumulated Leap Seconds=34 + { 2455662.50, 66.406337 }, //11 April 2011, UT1-UTC=-0.2223371, Accumulated Leap Seconds=34 + { 2455663.50, 66.407308 }, //12 April 2011, UT1-UTC=-0.2233083, Accumulated Leap Seconds=34 + { 2455664.50, 66.408479 }, //13 April 2011, UT1-UTC=-0.2244786, Accumulated Leap Seconds=34 + { 2455665.50, 66.409795 }, //14 April 2011, UT1-UTC=-0.2257947, Accumulated Leap Seconds=34 + { 2455666.50, 66.411301 }, //15 April 2011, UT1-UTC=-0.2273013, Accumulated Leap Seconds=34 + { 2455667.50, 66.412922 }, //16 April 2011, UT1-UTC=-0.2289220, Accumulated Leap Seconds=34 + { 2455668.50, 66.414580 }, //17 April 2011, UT1-UTC=-0.2305802, Accumulated Leap Seconds=34 + { 2455669.50, 66.416111 }, //18 April 2011, UT1-UTC=-0.2321108, Accumulated Leap Seconds=34 + { 2455670.50, 66.417454 }, //19 April 2011, UT1-UTC=-0.2334543, Accumulated Leap Seconds=34 + { 2455671.50, 66.418561 }, //20 April 2011, UT1-UTC=-0.2345609, Accumulated Leap Seconds=34 + { 2455672.50, 66.419449 }, //21 April 2011, UT1-UTC=-0.2354495, Accumulated Leap Seconds=34 + { 2455673.50, 66.420176 }, //22 April 2011, UT1-UTC=-0.2361763, Accumulated Leap Seconds=34 + { 2455674.50, 66.420889 }, //23 April 2011, UT1-UTC=-0.2368889, Accumulated Leap Seconds=34 + { 2455675.50, 66.421684 }, //24 April 2011, UT1-UTC=-0.2376842, Accumulated Leap Seconds=34 + { 2455676.50, 66.422557 }, //25 April 2011, UT1-UTC=-0.2385571, Accumulated Leap Seconds=34 + { 2455677.50, 66.423524 }, //26 April 2011, UT1-UTC=-0.2395237, Accumulated Leap Seconds=34 + { 2455678.50, 66.424562 }, //27 April 2011, UT1-UTC=-0.2405616, Accumulated Leap Seconds=34 + { 2455679.50, 66.425625 }, //28 April 2011, UT1-UTC=-0.2416246, Accumulated Leap Seconds=34 + { 2455680.50, 66.426769 }, //29 April 2011, UT1-UTC=-0.2427694, Accumulated Leap Seconds=34 + { 2455681.50, 66.427867 }, //30 April 2011, UT1-UTC=-0.2438674, Accumulated Leap Seconds=34 + { 2455682.50, 66.428903 }, //01 May 2011, UT1-UTC=-0.2449030, Accumulated Leap Seconds=34 + { 2455683.50, 66.429874 }, //02 May 2011, UT1-UTC=-0.2458739, Accumulated Leap Seconds=34 + { 2455684.50, 66.430843 }, //03 May 2011, UT1-UTC=-0.2468430, Accumulated Leap Seconds=34 + { 2455685.50, 66.431690 }, //04 May 2011, UT1-UTC=-0.2476898, Accumulated Leap Seconds=34 + { 2455686.50, 66.432572 }, //05 May 2011, UT1-UTC=-0.2485719, Accumulated Leap Seconds=34 + { 2455687.50, 66.433394 }, //06 May 2011, UT1-UTC=-0.2493942, Accumulated Leap Seconds=34 + { 2455688.50, 66.434214 }, //07 May 2011, UT1-UTC=-0.2502137, Accumulated Leap Seconds=34 + { 2455689.50, 66.435105 }, //08 May 2011, UT1-UTC=-0.2511055, Accumulated Leap Seconds=34 + { 2455690.50, 66.436117 }, //09 May 2011, UT1-UTC=-0.2521172, Accumulated Leap Seconds=34 + { 2455691.50, 66.437326 }, //10 May 2011, UT1-UTC=-0.2533262, Accumulated Leap Seconds=34 + { 2455692.50, 66.438814 }, //11 May 2011, UT1-UTC=-0.2548141, Accumulated Leap Seconds=34 + { 2455693.50, 66.440427 }, //12 May 2011, UT1-UTC=-0.2564269, Accumulated Leap Seconds=34 + { 2455694.50, 66.442167 }, //13 May 2011, UT1-UTC=-0.2581670, Accumulated Leap Seconds=34 + { 2455695.50, 66.443984 }, //14 May 2011, UT1-UTC=-0.2599844, Accumulated Leap Seconds=34 + { 2455696.50, 66.445808 }, //15 May 2011, UT1-UTC=-0.2618083, Accumulated Leap Seconds=34 + { 2455697.50, 66.447430 }, //16 May 2011, UT1-UTC=-0.2634301, Accumulated Leap Seconds=34 + { 2455698.50, 66.448839 }, //17 May 2011, UT1-UTC=-0.2648395, Accumulated Leap Seconds=34 + { 2455699.50, 66.449996 }, //18 May 2011, UT1-UTC=-0.2659958, Accumulated Leap Seconds=34 + { 2455700.50, 66.450991 }, //19 May 2011, UT1-UTC=-0.2669906, Accumulated Leap Seconds=34 + { 2455701.50, 66.451790 }, //20 May 2011, UT1-UTC=-0.2677904, Accumulated Leap Seconds=34 + { 2455702.50, 66.452564 }, //21 May 2011, UT1-UTC=-0.2685639, Accumulated Leap Seconds=34 + { 2455703.50, 66.453390 }, //22 May 2011, UT1-UTC=-0.2693903, Accumulated Leap Seconds=34 + { 2455704.50, 66.454204 }, //23 May 2011, UT1-UTC=-0.2702037, Accumulated Leap Seconds=34 + { 2455705.50, 66.455091 }, //24 May 2011, UT1-UTC=-0.2710909, Accumulated Leap Seconds=34 + { 2455706.50, 66.455973 }, //25 May 2011, UT1-UTC=-0.2719731, Accumulated Leap Seconds=34 + { 2455707.50, 66.456888 }, //26 May 2011, UT1-UTC=-0.2728881, Accumulated Leap Seconds=34 + { 2455708.50, 66.457902 }, //27 May 2011, UT1-UTC=-0.2739016, Accumulated Leap Seconds=34 + { 2455709.50, 66.458877 }, //28 May 2011, UT1-UTC=-0.2748769, Accumulated Leap Seconds=34 + { 2455710.50, 66.459777 }, //29 May 2011, UT1-UTC=-0.2757765, Accumulated Leap Seconds=34 + { 2455711.50, 66.460592 }, //30 May 2011, UT1-UTC=-0.2765919, Accumulated Leap Seconds=34 + { 2455712.50, 66.461265 }, //31 May 2011, UT1-UTC=-0.2772650, Accumulated Leap Seconds=34 + { 2455713.50, 66.461867 }, //01 June 2011, UT1-UTC=-0.2778675, Accumulated Leap Seconds=34 + { 2455714.50, 66.462411 }, //02 June 2011, UT1-UTC=-0.2784108, Accumulated Leap Seconds=34 + { 2455715.50, 66.462902 }, //03 June 2011, UT1-UTC=-0.2789021, Accumulated Leap Seconds=34 + { 2455716.50, 66.463405 }, //04 June 2011, UT1-UTC=-0.2794053, Accumulated Leap Seconds=34 + { 2455717.50, 66.464073 }, //05 June 2011, UT1-UTC=-0.2800725, Accumulated Leap Seconds=34 + { 2455718.50, 66.464891 }, //06 June 2011, UT1-UTC=-0.2808911, Accumulated Leap Seconds=34 + { 2455719.50, 66.465861 }, //07 June 2011, UT1-UTC=-0.2818610, Accumulated Leap Seconds=34 + { 2455720.50, 66.467000 }, //08 June 2011, UT1-UTC=-0.2830003, Accumulated Leap Seconds=34 + { 2455721.50, 66.468183 }, //09 June 2011, UT1-UTC=-0.2841834, Accumulated Leap Seconds=34 + { 2455722.50, 66.469307 }, //10 June 2011, UT1-UTC=-0.2853072, Accumulated Leap Seconds=34 + { 2455723.50, 66.470366 }, //11 June 2011, UT1-UTC=-0.2863664, Accumulated Leap Seconds=34 + { 2455724.50, 66.471278 }, //12 June 2011, UT1-UTC=-0.2872785, Accumulated Leap Seconds=34 + { 2455725.50, 66.471931 }, //13 June 2011, UT1-UTC=-0.2879310, Accumulated Leap Seconds=34 + { 2455726.50, 66.472434 }, //14 June 2011, UT1-UTC=-0.2884341, Accumulated Leap Seconds=34 + { 2455727.50, 66.472785 }, //15 June 2011, UT1-UTC=-0.2887848, Accumulated Leap Seconds=34 + { 2455728.50, 66.472977 }, //16 June 2011, UT1-UTC=-0.2889773, Accumulated Leap Seconds=34 + { 2455729.50, 66.473185 }, //17 June 2011, UT1-UTC=-0.2891847, Accumulated Leap Seconds=34 + { 2455730.50, 66.473421 }, //18 June 2011, UT1-UTC=-0.2894214, Accumulated Leap Seconds=34 + { 2455731.50, 66.473714 }, //19 June 2011, UT1-UTC=-0.2897142, Accumulated Leap Seconds=34 + { 2455732.50, 66.474069 }, //20 June 2011, UT1-UTC=-0.2900687, Accumulated Leap Seconds=34 + { 2455733.50, 66.474470 }, //21 June 2011, UT1-UTC=-0.2904697, Accumulated Leap Seconds=34 + { 2455734.50, 66.474877 }, //22 June 2011, UT1-UTC=-0.2908771, Accumulated Leap Seconds=34 + { 2455735.50, 66.475241 }, //23 June 2011, UT1-UTC=-0.2912407, Accumulated Leap Seconds=34 + { 2455736.50, 66.475519 }, //24 June 2011, UT1-UTC=-0.2915191, Accumulated Leap Seconds=34 + { 2455737.50, 66.475682 }, //25 June 2011, UT1-UTC=-0.2916821, Accumulated Leap Seconds=34 + { 2455738.50, 66.475739 }, //26 June 2011, UT1-UTC=-0.2917394, Accumulated Leap Seconds=34 + { 2455739.50, 66.475714 }, //27 June 2011, UT1-UTC=-0.2917139, Accumulated Leap Seconds=34 + { 2455740.50, 66.475610 }, //28 June 2011, UT1-UTC=-0.2916100, Accumulated Leap Seconds=34 + { 2455741.50, 66.475433 }, //29 June 2011, UT1-UTC=-0.2914334, Accumulated Leap Seconds=34 + { 2455742.50, 66.475168 }, //30 June 2011, UT1-UTC=-0.2911683, Accumulated Leap Seconds=34 + { 2455743.50, 66.474884 }, //01 July 2011, UT1-UTC=-0.2908837, Accumulated Leap Seconds=34 + { 2455744.50, 66.474658 }, //02 July 2011, UT1-UTC=-0.2906578, Accumulated Leap Seconds=34 + { 2455745.50, 66.474534 }, //03 July 2011, UT1-UTC=-0.2905343, Accumulated Leap Seconds=34 + { 2455746.50, 66.474687 }, //04 July 2011, UT1-UTC=-0.2906868, Accumulated Leap Seconds=34 + { 2455747.50, 66.475071 }, //05 July 2011, UT1-UTC=-0.2910715, Accumulated Leap Seconds=34 + { 2455748.50, 66.475566 }, //06 July 2011, UT1-UTC=-0.2915655, Accumulated Leap Seconds=34 + { 2455749.50, 66.476076 }, //07 July 2011, UT1-UTC=-0.2920759, Accumulated Leap Seconds=34 + { 2455750.50, 66.476486 }, //08 July 2011, UT1-UTC=-0.2924862, Accumulated Leap Seconds=34 + { 2455751.50, 66.476784 }, //09 July 2011, UT1-UTC=-0.2927840, Accumulated Leap Seconds=34 + { 2455752.50, 66.476853 }, //10 July 2011, UT1-UTC=-0.2928534, Accumulated Leap Seconds=34 + { 2455753.50, 66.476734 }, //11 July 2011, UT1-UTC=-0.2927340, Accumulated Leap Seconds=34 + { 2455754.50, 66.476487 }, //12 July 2011, UT1-UTC=-0.2924866, Accumulated Leap Seconds=34 + { 2455755.50, 66.476156 }, //13 July 2011, UT1-UTC=-0.2921557, Accumulated Leap Seconds=34 + { 2455756.50, 66.475834 }, //14 July 2011, UT1-UTC=-0.2918336, Accumulated Leap Seconds=34 + { 2455757.50, 66.475572 }, //15 July 2011, UT1-UTC=-0.2915718, Accumulated Leap Seconds=34 + { 2455758.50, 66.475385 }, //16 July 2011, UT1-UTC=-0.2913846, Accumulated Leap Seconds=34 + { 2455759.50, 66.475332 }, //17 July 2011, UT1-UTC=-0.2913317, Accumulated Leap Seconds=34 + { 2455760.50, 66.475421 }, //18 July 2011, UT1-UTC=-0.2914214, Accumulated Leap Seconds=34 + { 2455761.50, 66.475591 }, //19 July 2011, UT1-UTC=-0.2915911, Accumulated Leap Seconds=34 + { 2455762.50, 66.475861 }, //20 July 2011, UT1-UTC=-0.2918613, Accumulated Leap Seconds=34 + { 2455763.50, 66.476027 }, //21 July 2011, UT1-UTC=-0.2920271, Accumulated Leap Seconds=34 + { 2455764.50, 66.476153 }, //22 July 2011, UT1-UTC=-0.2921533, Accumulated Leap Seconds=34 + { 2455765.50, 66.476207 }, //23 July 2011, UT1-UTC=-0.2922072, Accumulated Leap Seconds=34 + { 2455766.50, 66.476192 }, //24 July 2011, UT1-UTC=-0.2921918, Accumulated Leap Seconds=34 + { 2455767.50, 66.476085 }, //25 July 2011, UT1-UTC=-0.2920855, Accumulated Leap Seconds=34 + { 2455768.50, 66.475866 }, //26 July 2011, UT1-UTC=-0.2918658, Accumulated Leap Seconds=34 + { 2455769.50, 66.475560 }, //27 July 2011, UT1-UTC=-0.2915599, Accumulated Leap Seconds=34 + { 2455770.50, 66.475213 }, //28 July 2011, UT1-UTC=-0.2912130, Accumulated Leap Seconds=34 + { 2455771.50, 66.474928 }, //29 July 2011, UT1-UTC=-0.2909276, Accumulated Leap Seconds=34 + { 2455772.50, 66.474735 }, //30 July 2011, UT1-UTC=-0.2907354, Accumulated Leap Seconds=34 + { 2455773.50, 66.474795 }, //31 July 2011, UT1-UTC=-0.2907947, Accumulated Leap Seconds=34 + { 2455774.50, 66.475128 }, //01 August 2011, UT1-UTC=-0.2911281, Accumulated Leap Seconds=34 + { 2455775.50, 66.475651 }, //02 August 2011, UT1-UTC=-0.2916507, Accumulated Leap Seconds=34 + { 2455776.50, 66.476314 }, //03 August 2011, UT1-UTC=-0.2923144, Accumulated Leap Seconds=34 + { 2455777.50, 66.477000 }, //04 August 2011, UT1-UTC=-0.2929997, Accumulated Leap Seconds=34 + { 2455778.50, 66.477595 }, //05 August 2011, UT1-UTC=-0.2935954, Accumulated Leap Seconds=34 + { 2455779.50, 66.478003 }, //06 August 2011, UT1-UTC=-0.2940030, Accumulated Leap Seconds=34 + { 2455780.50, 66.478150 }, //07 August 2011, UT1-UTC=-0.2941502, Accumulated Leap Seconds=34 + { 2455781.50, 66.478103 }, //08 August 2011, UT1-UTC=-0.2941028, Accumulated Leap Seconds=34 + { 2455782.50, 66.477973 }, //09 August 2011, UT1-UTC=-0.2939728, Accumulated Leap Seconds=34 + { 2455783.50, 66.477789 }, //10 August 2011, UT1-UTC=-0.2937887, Accumulated Leap Seconds=34 + { 2455784.50, 66.477621 }, //11 August 2011, UT1-UTC=-0.2936214, Accumulated Leap Seconds=34 + { 2455785.50, 66.477486 }, //12 August 2011, UT1-UTC=-0.2934862, Accumulated Leap Seconds=34 + { 2455786.50, 66.477477 }, //13 August 2011, UT1-UTC=-0.2934767, Accumulated Leap Seconds=34 + { 2455787.50, 66.477579 }, //14 August 2011, UT1-UTC=-0.2935789, Accumulated Leap Seconds=34 + { 2455788.50, 66.477704 }, //15 August 2011, UT1-UTC=-0.2937044, Accumulated Leap Seconds=34 + { 2455789.50, 66.477933 }, //16 August 2011, UT1-UTC=-0.2939326, Accumulated Leap Seconds=34 + { 2455790.50, 66.478171 }, //17 August 2011, UT1-UTC=-0.2941710, Accumulated Leap Seconds=34 + { 2455791.50, 66.478435 }, //18 August 2011, UT1-UTC=-0.2944346, Accumulated Leap Seconds=34 + { 2455792.50, 66.478619 }, //19 August 2011, UT1-UTC=-0.2946193, Accumulated Leap Seconds=34 + { 2455793.50, 66.478688 }, //20 August 2011, UT1-UTC=-0.2946877, Accumulated Leap Seconds=34 + { 2455794.50, 66.478668 }, //21 August 2011, UT1-UTC=-0.2946678, Accumulated Leap Seconds=34 + { 2455795.50, 66.478563 }, //22 August 2011, UT1-UTC=-0.2945629, Accumulated Leap Seconds=34 + { 2455796.50, 66.478405 }, //23 August 2011, UT1-UTC=-0.2944054, Accumulated Leap Seconds=34 + { 2455797.50, 66.478212 }, //24 August 2011, UT1-UTC=-0.2942118, Accumulated Leap Seconds=34 + { 2455798.50, 66.478130 }, //25 August 2011, UT1-UTC=-0.2941299, Accumulated Leap Seconds=34 + { 2455799.50, 66.478206 }, //26 August 2011, UT1-UTC=-0.2942063, Accumulated Leap Seconds=34 + { 2455800.50, 66.478536 }, //27 August 2011, UT1-UTC=-0.2945359, Accumulated Leap Seconds=34 + { 2455801.50, 66.479107 }, //28 August 2011, UT1-UTC=-0.2951073, Accumulated Leap Seconds=34 + { 2455802.50, 66.479906 }, //29 August 2011, UT1-UTC=-0.2959055, Accumulated Leap Seconds=34 + { 2455803.50, 66.480896 }, //30 August 2011, UT1-UTC=-0.2968963, Accumulated Leap Seconds=34 + { 2455804.50, 66.481899 }, //31 August 2011, UT1-UTC=-0.2978993, Accumulated Leap Seconds=34 + { 2455805.50, 66.482868 }, //01 September 2011, UT1-UTC=-0.2988678, Accumulated Leap Seconds=34 + { 2455806.50, 66.483708 }, //02 September 2011, UT1-UTC=-0.2997080, Accumulated Leap Seconds=34 + { 2455807.50, 66.484298 }, //03 September 2011, UT1-UTC=-0.3002984, Accumulated Leap Seconds=34 + { 2455808.50, 66.484662 }, //04 September 2011, UT1-UTC=-0.3006615, Accumulated Leap Seconds=34 + { 2455809.50, 66.484888 }, //05 September 2011, UT1-UTC=-0.3008882, Accumulated Leap Seconds=34 + { 2455810.50, 66.485053 }, //06 September 2011, UT1-UTC=-0.3010531, Accumulated Leap Seconds=34 + { 2455811.50, 66.485219 }, //07 September 2011, UT1-UTC=-0.3012189, Accumulated Leap Seconds=34 + { 2455812.50, 66.485496 }, //08 September 2011, UT1-UTC=-0.3014957, Accumulated Leap Seconds=34 + { 2455813.50, 66.485869 }, //09 September 2011, UT1-UTC=-0.3018690, Accumulated Leap Seconds=34 + { 2455814.50, 66.486319 }, //10 September 2011, UT1-UTC=-0.3023195, Accumulated Leap Seconds=34 + { 2455815.50, 66.486836 }, //11 September 2011, UT1-UTC=-0.3028359, Accumulated Leap Seconds=34 + { 2455816.50, 66.487431 }, //12 September 2011, UT1-UTC=-0.3034312, Accumulated Leap Seconds=34 + { 2455817.50, 66.488087 }, //13 September 2011, UT1-UTC=-0.3040873, Accumulated Leap Seconds=34 + { 2455818.50, 66.488800 }, //14 September 2011, UT1-UTC=-0.3048003, Accumulated Leap Seconds=34 + { 2455819.50, 66.489520 }, //15 September 2011, UT1-UTC=-0.3055205, Accumulated Leap Seconds=34 + { 2455820.50, 66.490141 }, //16 September 2011, UT1-UTC=-0.3061407, Accumulated Leap Seconds=34 + { 2455821.50, 66.490653 }, //17 September 2011, UT1-UTC=-0.3066527, Accumulated Leap Seconds=34 + { 2455822.50, 66.491078 }, //18 September 2011, UT1-UTC=-0.3070784, Accumulated Leap Seconds=34 + { 2455823.50, 66.491491 }, //19 September 2011, UT1-UTC=-0.3074913, Accumulated Leap Seconds=34 + { 2455824.50, 66.491901 }, //20 September 2011, UT1-UTC=-0.3079013, Accumulated Leap Seconds=34 + { 2455825.50, 66.492398 }, //21 September 2011, UT1-UTC=-0.3083976, Accumulated Leap Seconds=34 + { 2455826.50, 66.493041 }, //22 September 2011, UT1-UTC=-0.3090412, Accumulated Leap Seconds=34 + { 2455827.50, 66.493905 }, //23 September 2011, UT1-UTC=-0.3099054, Accumulated Leap Seconds=34 + { 2455828.50, 66.495011 }, //24 September 2011, UT1-UTC=-0.3110111, Accumulated Leap Seconds=34 + { 2455829.50, 66.496403 }, //25 September 2011, UT1-UTC=-0.3124025, Accumulated Leap Seconds=34 + { 2455830.50, 66.498000 }, //26 September 2011, UT1-UTC=-0.3139997, Accumulated Leap Seconds=34 + { 2455831.50, 66.499758 }, //27 September 2011, UT1-UTC=-0.3157575, Accumulated Leap Seconds=34 + { 2455832.50, 66.501524 }, //28 September 2011, UT1-UTC=-0.3175236, Accumulated Leap Seconds=34 + { 2455833.50, 66.503136 }, //29 September 2011, UT1-UTC=-0.3191363, Accumulated Leap Seconds=34 + { 2455834.50, 66.504480 }, //30 September 2011, UT1-UTC=-0.3204805, Accumulated Leap Seconds=34 + { 2455835.50, 66.505617 }, //01 October 2011, UT1-UTC=-0.3216165, Accumulated Leap Seconds=34 + { 2455836.50, 66.506615 }, //02 October 2011, UT1-UTC=-0.3226155, Accumulated Leap Seconds=34 + { 2455837.50, 66.507531 }, //03 October 2011, UT1-UTC=-0.3235315, Accumulated Leap Seconds=34 + { 2455838.50, 66.508453 }, //04 October 2011, UT1-UTC=-0.3244529, Accumulated Leap Seconds=34 + { 2455839.50, 66.509463 }, //05 October 2011, UT1-UTC=-0.3254629, Accumulated Leap Seconds=34 + { 2455840.50, 66.510608 }, //06 October 2011, UT1-UTC=-0.3266080, Accumulated Leap Seconds=34 + { 2455841.50, 66.511888 }, //07 October 2011, UT1-UTC=-0.3278883, Accumulated Leap Seconds=34 + { 2455842.50, 66.513235 }, //08 October 2011, UT1-UTC=-0.3292353, Accumulated Leap Seconds=34 + { 2455843.50, 66.514627 }, //09 October 2011, UT1-UTC=-0.3306270, Accumulated Leap Seconds=34 + { 2455844.50, 66.516013 }, //10 October 2011, UT1-UTC=-0.3320125, Accumulated Leap Seconds=34 + { 2455845.50, 66.517360 }, //11 October 2011, UT1-UTC=-0.3333600, Accumulated Leap Seconds=34 + { 2455846.50, 66.518645 }, //12 October 2011, UT1-UTC=-0.3346448, Accumulated Leap Seconds=34 + { 2455847.50, 66.519813 }, //13 October 2011, UT1-UTC=-0.3358130, Accumulated Leap Seconds=34 + { 2455848.50, 66.520766 }, //14 October 2011, UT1-UTC=-0.3367665, Accumulated Leap Seconds=34 + { 2455849.50, 66.521538 }, //15 October 2011, UT1-UTC=-0.3375380, Accumulated Leap Seconds=34 + { 2455850.50, 66.522143 }, //16 October 2011, UT1-UTC=-0.3381432, Accumulated Leap Seconds=34 + { 2455851.50, 66.522653 }, //17 October 2011, UT1-UTC=-0.3386527, Accumulated Leap Seconds=34 + { 2455852.50, 66.523161 }, //18 October 2011, UT1-UTC=-0.3391610, Accumulated Leap Seconds=34 + { 2455853.50, 66.523726 }, //19 October 2011, UT1-UTC=-0.3397260, Accumulated Leap Seconds=34 + { 2455854.50, 66.524407 }, //20 October 2011, UT1-UTC=-0.3404070, Accumulated Leap Seconds=34 + { 2455855.50, 66.525273 }, //21 October 2011, UT1-UTC=-0.3412734, Accumulated Leap Seconds=34 + { 2455856.50, 66.526363 }, //22 October 2011, UT1-UTC=-0.3423628, Accumulated Leap Seconds=34 + { 2455857.50, 66.527677 }, //23 October 2011, UT1-UTC=-0.3436772, Accumulated Leap Seconds=34 + { 2455858.50, 66.529158 }, //24 October 2011, UT1-UTC=-0.3451585, Accumulated Leap Seconds=34 + { 2455859.50, 66.530746 }, //25 October 2011, UT1-UTC=-0.3467464, Accumulated Leap Seconds=34 + { 2455860.50, 66.532273 }, //26 October 2011, UT1-UTC=-0.3482733, Accumulated Leap Seconds=34 + { 2455861.50, 66.533641 }, //27 October 2011, UT1-UTC=-0.3496405, Accumulated Leap Seconds=34 + { 2455862.50, 66.534809 }, //28 October 2011, UT1-UTC=-0.3508091, Accumulated Leap Seconds=34 + { 2455863.50, 66.535767 }, //29 October 2011, UT1-UTC=-0.3517675, Accumulated Leap Seconds=34 + { 2455864.50, 66.536602 }, //30 October 2011, UT1-UTC=-0.3526018, Accumulated Leap Seconds=34 + { 2455865.50, 66.537411 }, //31 October 2011, UT1-UTC=-0.3534112, Accumulated Leap Seconds=34 + { 2455866.50, 66.538291 }, //01 November 2011, UT1-UTC=-0.3542912, Accumulated Leap Seconds=34 + { 2455867.50, 66.539295 }, //02 November 2011, UT1-UTC=-0.3552952, Accumulated Leap Seconds=34 + { 2455868.50, 66.540416 }, //03 November 2011, UT1-UTC=-0.3564158, Accumulated Leap Seconds=34 + { 2455869.50, 66.541667 }, //04 November 2011, UT1-UTC=-0.3576671, Accumulated Leap Seconds=34 + { 2455870.50, 66.543065 }, //05 November 2011, UT1-UTC=-0.3590652, Accumulated Leap Seconds=34 + { 2455871.50, 66.544481 }, //06 November 2011, UT1-UTC=-0.3604810, Accumulated Leap Seconds=34 + { 2455872.50, 66.545872 }, //07 November 2011, UT1-UTC=-0.3618717, Accumulated Leap Seconds=34 + { 2455873.50, 66.547204 }, //08 November 2011, UT1-UTC=-0.3632037, Accumulated Leap Seconds=34 + { 2455874.50, 66.548368 }, //09 November 2011, UT1-UTC=-0.3643678, Accumulated Leap Seconds=34 + { 2455875.50, 66.549356 }, //10 November 2011, UT1-UTC=-0.3653556, Accumulated Leap Seconds=34 + { 2455876.50, 66.550231 }, //11 November 2011, UT1-UTC=-0.3662311, Accumulated Leap Seconds=34 + { 2455877.50, 66.550958 }, //12 November 2011, UT1-UTC=-0.3669581, Accumulated Leap Seconds=34 + { 2455878.50, 66.551638 }, //13 November 2011, UT1-UTC=-0.3676382, Accumulated Leap Seconds=34 + { 2455879.50, 66.552295 }, //14 November 2011, UT1-UTC=-0.3682952, Accumulated Leap Seconds=34 + { 2455880.50, 66.553001 }, //15 November 2011, UT1-UTC=-0.3690015, Accumulated Leap Seconds=34 + { 2455881.50, 66.553801 }, //16 November 2011, UT1-UTC=-0.3698014, Accumulated Leap Seconds=34 + { 2455882.50, 66.554739 }, //17 November 2011, UT1-UTC=-0.3707393, Accumulated Leap Seconds=34 + { 2455883.50, 66.555872 }, //18 November 2011, UT1-UTC=-0.3718721, Accumulated Leap Seconds=34 + { 2455884.50, 66.557199 }, //19 November 2011, UT1-UTC=-0.3731986, Accumulated Leap Seconds=34 + { 2455885.50, 66.558704 }, //20 November 2011, UT1-UTC=-0.3747042, Accumulated Leap Seconds=34 + { 2455886.50, 66.560247 }, //21 November 2011, UT1-UTC=-0.3762473, Accumulated Leap Seconds=34 + { 2455887.50, 66.561735 }, //22 November 2011, UT1-UTC=-0.3777355, Accumulated Leap Seconds=34 + { 2455888.50, 66.563158 }, //23 November 2011, UT1-UTC=-0.3791582, Accumulated Leap Seconds=34 + { 2455889.50, 66.564401 }, //24 November 2011, UT1-UTC=-0.3804010, Accumulated Leap Seconds=34 + { 2455890.50, 66.565425 }, //25 November 2011, UT1-UTC=-0.3814251, Accumulated Leap Seconds=34 + { 2455891.50, 66.566276 }, //26 November 2011, UT1-UTC=-0.3822758, Accumulated Leap Seconds=34 + { 2455892.50, 66.567042 }, //27 November 2011, UT1-UTC=-0.3830416, Accumulated Leap Seconds=34 + { 2455893.50, 66.567803 }, //28 November 2011, UT1-UTC=-0.3838034, Accumulated Leap Seconds=34 + { 2455894.50, 66.568618 }, //29 November 2011, UT1-UTC=-0.3846179, Accumulated Leap Seconds=34 + { 2455895.50, 66.569529 }, //30 November 2011, UT1-UTC=-0.3855292, Accumulated Leap Seconds=34 + { 2455896.50, 66.570563 }, //01 December 2011, UT1-UTC=-0.3865628, Accumulated Leap Seconds=34 + { 2455897.50, 66.571725 }, //02 December 2011, UT1-UTC=-0.3877251, Accumulated Leap Seconds=34 + { 2455898.50, 66.572924 }, //03 December 2011, UT1-UTC=-0.3889243, Accumulated Leap Seconds=34 + { 2455899.50, 66.574014 }, //04 December 2011, UT1-UTC=-0.3900143, Accumulated Leap Seconds=34 + { 2455900.50, 66.575029 }, //05 December 2011, UT1-UTC=-0.3910293, Accumulated Leap Seconds=34 + { 2455901.50, 66.575934 }, //06 December 2011, UT1-UTC=-0.3919339, Accumulated Leap Seconds=34 + { 2455902.50, 66.576712 }, //07 December 2011, UT1-UTC=-0.3927123, Accumulated Leap Seconds=34 + { 2455903.50, 66.577350 }, //08 December 2011, UT1-UTC=-0.3933500, Accumulated Leap Seconds=34 + { 2455904.50, 66.577907 }, //09 December 2011, UT1-UTC=-0.3939074, Accumulated Leap Seconds=34 + { 2455905.50, 66.578457 }, //10 December 2011, UT1-UTC=-0.3944575, Accumulated Leap Seconds=34 + { 2455906.50, 66.579014 }, //11 December 2011, UT1-UTC=-0.3950136, Accumulated Leap Seconds=34 + { 2455907.50, 66.579595 }, //12 December 2011, UT1-UTC=-0.3955950, Accumulated Leap Seconds=34 + { 2455908.50, 66.580276 }, //13 December 2011, UT1-UTC=-0.3962761, Accumulated Leap Seconds=34 + { 2455909.50, 66.581123 }, //14 December 2011, UT1-UTC=-0.3971231, Accumulated Leap Seconds=34 + { 2455910.50, 66.582161 }, //15 December 2011, UT1-UTC=-0.3981611, Accumulated Leap Seconds=34 + { 2455911.50, 66.583388 }, //16 December 2011, UT1-UTC=-0.3993875, Accumulated Leap Seconds=34 + { 2455912.50, 66.584762 }, //17 December 2011, UT1-UTC=-0.4007618, Accumulated Leap Seconds=34 + { 2455913.50, 66.586232 }, //18 December 2011, UT1-UTC=-0.4022323, Accumulated Leap Seconds=34 + { 2455914.50, 66.587725 }, //19 December 2011, UT1-UTC=-0.4037255, Accumulated Leap Seconds=34 + { 2455915.50, 66.589117 }, //20 December 2011, UT1-UTC=-0.4051174, Accumulated Leap Seconds=34 + { 2455916.50, 66.590358 }, //21 December 2011, UT1-UTC=-0.4063582, Accumulated Leap Seconds=34 + { 2455917.50, 66.591392 }, //22 December 2011, UT1-UTC=-0.4073919, Accumulated Leap Seconds=34 + { 2455918.50, 66.592214 }, //23 December 2011, UT1-UTC=-0.4082143, Accumulated Leap Seconds=34 + { 2455919.50, 66.592944 }, //24 December 2011, UT1-UTC=-0.4089439, Accumulated Leap Seconds=34 + { 2455920.50, 66.593738 }, //25 December 2011, UT1-UTC=-0.4097384, Accumulated Leap Seconds=34 + { 2455921.50, 66.594696 }, //26 December 2011, UT1-UTC=-0.4106962, Accumulated Leap Seconds=34 + { 2455922.50, 66.595857 }, //27 December 2011, UT1-UTC=-0.4118570, Accumulated Leap Seconds=34 + { 2455923.50, 66.597201 }, //28 December 2011, UT1-UTC=-0.4132011, Accumulated Leap Seconds=34 + { 2455924.50, 66.598683 }, //29 December 2011, UT1-UTC=-0.4146832, Accumulated Leap Seconds=34 + { 2455925.50, 66.600201 }, //30 December 2011, UT1-UTC=-0.4162013, Accumulated Leap Seconds=34 + { 2455926.50, 66.601660 }, //31 December 2011, UT1-UTC=-0.4176597, Accumulated Leap Seconds=34 + { 2455927.50, 66.603020 }, //01 January 2012, UT1-UTC=-0.4190198, Accumulated Leap Seconds=34 + { 2455928.50, 66.604263 }, //02 January 2012, UT1-UTC=-0.4202632, Accumulated Leap Seconds=34 + { 2455929.50, 66.605396 }, //03 January 2012, UT1-UTC=-0.4213964, Accumulated Leap Seconds=34 + { 2455930.50, 66.606393 }, //04 January 2012, UT1-UTC=-0.4223926, Accumulated Leap Seconds=34 + { 2455931.50, 66.607270 }, //05 January 2012, UT1-UTC=-0.4232705, Accumulated Leap Seconds=34 + { 2455932.50, 66.608054 }, //06 January 2012, UT1-UTC=-0.4240541, Accumulated Leap Seconds=34 + { 2455933.50, 66.608777 }, //07 January 2012, UT1-UTC=-0.4247770, Accumulated Leap Seconds=34 + { 2455934.50, 66.609533 }, //08 January 2012, UT1-UTC=-0.4255331, Accumulated Leap Seconds=34 + { 2455935.50, 66.610363 }, //09 January 2012, UT1-UTC=-0.4263634, Accumulated Leap Seconds=34 + { 2455936.50, 66.611284 }, //10 January 2012, UT1-UTC=-0.4272844, Accumulated Leap Seconds=34 + { 2455937.50, 66.612360 }, //11 January 2012, UT1-UTC=-0.4283596, Accumulated Leap Seconds=34 + { 2455938.50, 66.613596 }, //12 January 2012, UT1-UTC=-0.4295961, Accumulated Leap Seconds=34 + { 2455939.50, 66.615004 }, //13 January 2012, UT1-UTC=-0.4310044, Accumulated Leap Seconds=34 + { 2455940.50, 66.616521 }, //14 January 2012, UT1-UTC=-0.4325210, Accumulated Leap Seconds=34 + { 2455941.50, 66.618008 }, //15 January 2012, UT1-UTC=-0.4340075, Accumulated Leap Seconds=34 + { 2455942.50, 66.619413 }, //16 January 2012, UT1-UTC=-0.4354132, Accumulated Leap Seconds=34 + { 2455943.50, 66.620670 }, //17 January 2012, UT1-UTC=-0.4366697, Accumulated Leap Seconds=34 + { 2455944.50, 66.621724 }, //18 January 2012, UT1-UTC=-0.4377243, Accumulated Leap Seconds=34 + { 2455945.50, 66.622578 }, //19 January 2012, UT1-UTC=-0.4385780, Accumulated Leap Seconds=34 + { 2455946.50, 66.623316 }, //20 January 2012, UT1-UTC=-0.4393155, Accumulated Leap Seconds=34 + { 2455947.50, 66.624001 }, //21 January 2012, UT1-UTC=-0.4400007, Accumulated Leap Seconds=34 + { 2455948.50, 66.624786 }, //22 January 2012, UT1-UTC=-0.4407855, Accumulated Leap Seconds=34 + { 2455949.50, 66.625699 }, //23 January 2012, UT1-UTC=-0.4416988, Accumulated Leap Seconds=34 + { 2455950.50, 66.626704 }, //24 January 2012, UT1-UTC=-0.4427038, Accumulated Leap Seconds=34 + { 2455951.50, 66.627795 }, //25 January 2012, UT1-UTC=-0.4437950, Accumulated Leap Seconds=34 + { 2455952.50, 66.628910 }, //26 January 2012, UT1-UTC=-0.4449104, Accumulated Leap Seconds=34 + { 2455953.50, 66.630024 }, //27 January 2012, UT1-UTC=-0.4460237, Accumulated Leap Seconds=34 + { 2455954.50, 66.631072 }, //28 January 2012, UT1-UTC=-0.4470718, Accumulated Leap Seconds=34 + { 2455955.50, 66.631982 }, //29 January 2012, UT1-UTC=-0.4479821, Accumulated Leap Seconds=34 + { 2455956.50, 66.632785 }, //30 January 2012, UT1-UTC=-0.4487852, Accumulated Leap Seconds=34 + { 2455957.50, 66.633465 }, //31 January 2012, UT1-UTC=-0.4494654, Accumulated Leap Seconds=34 + { 2455958.50, 66.633969 }, //01 February 2012, UT1-UTC=-0.4499689, Accumulated Leap Seconds=34 + { 2455959.50, 66.634384 }, //02 February 2012, UT1-UTC=-0.4503843, Accumulated Leap Seconds=34 + { 2455960.50, 66.634812 }, //03 February 2012, UT1-UTC=-0.4508117, Accumulated Leap Seconds=34 + { 2455961.50, 66.635259 }, //04 February 2012, UT1-UTC=-0.4512588, Accumulated Leap Seconds=34 + { 2455962.50, 66.635751 }, //05 February 2012, UT1-UTC=-0.4517515, Accumulated Leap Seconds=34 + { 2455963.50, 66.636395 }, //06 February 2012, UT1-UTC=-0.4523955, Accumulated Leap Seconds=34 + { 2455964.50, 66.637298 }, //07 February 2012, UT1-UTC=-0.4532978, Accumulated Leap Seconds=34 + { 2455965.50, 66.638405 }, //08 February 2012, UT1-UTC=-0.4544046, Accumulated Leap Seconds=34 + { 2455966.50, 66.639723 }, //09 February 2012, UT1-UTC=-0.4557230, Accumulated Leap Seconds=34 + { 2455967.50, 66.641160 }, //10 February 2012, UT1-UTC=-0.4571597, Accumulated Leap Seconds=34 + { 2455968.50, 66.642634 }, //11 February 2012, UT1-UTC=-0.4586340, Accumulated Leap Seconds=34 + { 2455969.50, 66.644038 }, //12 February 2012, UT1-UTC=-0.4600383, Accumulated Leap Seconds=34 + { 2455970.50, 66.645318 }, //13 February 2012, UT1-UTC=-0.4613177, Accumulated Leap Seconds=34 + { 2455971.50, 66.646375 }, //14 February 2012, UT1-UTC=-0.4623751, Accumulated Leap Seconds=34 + { 2455972.50, 66.647176 }, //15 February 2012, UT1-UTC=-0.4631761, Accumulated Leap Seconds=34 + { 2455973.50, 66.647787 }, //16 February 2012, UT1-UTC=-0.4637866, Accumulated Leap Seconds=34 + { 2455974.50, 66.648340 }, //17 February 2012, UT1-UTC=-0.4643397, Accumulated Leap Seconds=34 + { 2455975.50, 66.648901 }, //18 February 2012, UT1-UTC=-0.4649014, Accumulated Leap Seconds=34 + { 2455976.50, 66.649564 }, //19 February 2012, UT1-UTC=-0.4655638, Accumulated Leap Seconds=34 + { 2455977.50, 66.650350 }, //20 February 2012, UT1-UTC=-0.4663497, Accumulated Leap Seconds=34 + { 2455978.50, 66.651232 }, //21 February 2012, UT1-UTC=-0.4672324, Accumulated Leap Seconds=34 + { 2455979.50, 66.652152 }, //22 February 2012, UT1-UTC=-0.4681517, Accumulated Leap Seconds=34 + { 2455980.50, 66.653045 }, //23 February 2012, UT1-UTC=-0.4690449, Accumulated Leap Seconds=34 + { 2455981.50, 66.653884 }, //24 February 2012, UT1-UTC=-0.4698839, Accumulated Leap Seconds=34 + { 2455982.50, 66.654611 }, //25 February 2012, UT1-UTC=-0.4706106, Accumulated Leap Seconds=34 + { 2455983.50, 66.655269 }, //26 February 2012, UT1-UTC=-0.4712692, Accumulated Leap Seconds=34 + { 2455984.50, 66.655809 }, //27 February 2012, UT1-UTC=-0.4718090, Accumulated Leap Seconds=34 + { 2455985.50, 66.656269 }, //28 February 2012, UT1-UTC=-0.4722693, Accumulated Leap Seconds=34 + { 2455986.50, 66.656631 }, //29 February 2012, UT1-UTC=-0.4726308, Accumulated Leap Seconds=34 + { 2455987.50, 66.656912 }, //01 March 2012, UT1-UTC=-0.4729117, Accumulated Leap Seconds=34 + { 2455988.50, 66.657189 }, //02 March 2012, UT1-UTC=-0.4731888, Accumulated Leap Seconds=34 + { 2455989.50, 66.657543 }, //03 March 2012, UT1-UTC=-0.4735434, Accumulated Leap Seconds=34 + { 2455990.50, 66.658013 }, //04 March 2012, UT1-UTC=-0.4740126, Accumulated Leap Seconds=34 + { 2455991.50, 66.658632 }, //05 March 2012, UT1-UTC=-0.4746319, Accumulated Leap Seconds=34 + { 2455992.50, 66.659448 }, //06 March 2012, UT1-UTC=-0.4754483, Accumulated Leap Seconds=34 + { 2455993.50, 66.660478 }, //07 March 2012, UT1-UTC=-0.4764782, Accumulated Leap Seconds=34 + { 2455994.50, 66.661697 }, //08 March 2012, UT1-UTC=-0.4776966, Accumulated Leap Seconds=34 + { 2455995.50, 66.663072 }, //09 March 2012, UT1-UTC=-0.4790716, Accumulated Leap Seconds=34 + { 2455996.50, 66.664520 }, //10 March 2012, UT1-UTC=-0.4805201, Accumulated Leap Seconds=34 + { 2455997.50, 66.666009 }, //11 March 2012, UT1-UTC=-0.4820089, Accumulated Leap Seconds=34 + { 2455998.50, 66.667383 }, //12 March 2012, UT1-UTC=-0.4833830, Accumulated Leap Seconds=34 + { 2455999.50, 66.668612 }, //13 March 2012, UT1-UTC=-0.4846116, Accumulated Leap Seconds=34 + { 2456000.50, 66.669760 }, //14 March 2012, UT1-UTC=-0.4857596, Accumulated Leap Seconds=34 + { 2456001.50, 66.670874 }, //15 March 2012, UT1-UTC=-0.4868744, Accumulated Leap Seconds=34 + { 2456002.50, 66.672046 }, //16 March 2012, UT1-UTC=-0.4880460, Accumulated Leap Seconds=34 + { 2456003.50, 66.673362 }, //17 March 2012, UT1-UTC=-0.4893618, Accumulated Leap Seconds=34 + { 2456004.50, 66.674819 }, //18 March 2012, UT1-UTC=-0.4908192, Accumulated Leap Seconds=34 + { 2456005.50, 66.676341 }, //19 March 2012, UT1-UTC=-0.4923412, Accumulated Leap Seconds=34 + { 2456006.50, 66.677913 }, //20 March 2012, UT1-UTC=-0.4939128, Accumulated Leap Seconds=34 + { 2456007.50, 66.679503 }, //21 March 2012, UT1-UTC=-0.4955028, Accumulated Leap Seconds=34 + { 2456008.50, 66.681000 }, //22 March 2012, UT1-UTC=-0.4970001, Accumulated Leap Seconds=34 + { 2456009.50, 66.682400 }, //23 March 2012, UT1-UTC=-0.4984003, Accumulated Leap Seconds=34 + { 2456010.50, 66.683741 }, //24 March 2012, UT1-UTC=-0.4997414, Accumulated Leap Seconds=34 + { 2456011.50, 66.685002 }, //25 March 2012, UT1-UTC=-0.5010021, Accumulated Leap Seconds=34 + { 2456012.50, 66.686141 }, //26 March 2012, UT1-UTC=-0.5021407, Accumulated Leap Seconds=34 + { 2456013.50, 66.687198 }, //27 March 2012, UT1-UTC=-0.5031977, Accumulated Leap Seconds=34 + { 2456014.50, 66.688204 }, //28 March 2012, UT1-UTC=-0.5042038, Accumulated Leap Seconds=34 + { 2456015.50, 66.689184 }, //29 March 2012, UT1-UTC=-0.5051845, Accumulated Leap Seconds=34 + { 2456016.50, 66.690196 }, //30 March 2012, UT1-UTC=-0.5061958, Accumulated Leap Seconds=34 + { 2456017.50, 66.691281 }, //31 March 2012, UT1-UTC=-0.5072813, Accumulated Leap Seconds=34 + { 2456018.50, 66.692501 }, //01 April 2012, UT1-UTC=-0.5085011, Accumulated Leap Seconds=34 + { 2456019.50, 66.693882 }, //02 April 2012, UT1-UTC=-0.5098823, Accumulated Leap Seconds=34 + { 2456020.50, 66.695433 }, //03 April 2012, UT1-UTC=-0.5114332, Accumulated Leap Seconds=34 + { 2456021.50, 66.697165 }, //04 April 2012, UT1-UTC=-0.5131647, Accumulated Leap Seconds=34 + { 2456022.50, 66.698984 }, //05 April 2012, UT1-UTC=-0.5149838, Accumulated Leap Seconds=34 + { 2456023.50, 66.700876 }, //06 April 2012, UT1-UTC=-0.5168757, Accumulated Leap Seconds=34 + { 2456024.50, 66.702652 }, //07 April 2012, UT1-UTC=-0.5186518, Accumulated Leap Seconds=34 + { 2456025.50, 66.704195 }, //08 April 2012, UT1-UTC=-0.5201950, Accumulated Leap Seconds=34 + { 2456026.50, 66.705524 }, //09 April 2012, UT1-UTC=-0.5215237, Accumulated Leap Seconds=34 + { 2456027.50, 66.706664 }, //10 April 2012, UT1-UTC=-0.5226642, Accumulated Leap Seconds=34 + { 2456028.50, 66.707696 }, //11 April 2012, UT1-UTC=-0.5236960, Accumulated Leap Seconds=34 + { 2456029.50, 66.708731 }, //12 April 2012, UT1-UTC=-0.5247306, Accumulated Leap Seconds=34 + { 2456030.50, 66.709839 }, //13 April 2012, UT1-UTC=-0.5258385, Accumulated Leap Seconds=34 + { 2456031.50, 66.711044 }, //14 April 2012, UT1-UTC=-0.5270442, Accumulated Leap Seconds=34 + { 2456032.50, 66.712287 }, //15 April 2012, UT1-UTC=-0.5282869, Accumulated Leap Seconds=34 + { 2456033.50, 66.713563 }, //16 April 2012, UT1-UTC=-0.5295627, Accumulated Leap Seconds=34 + { 2456034.50, 66.714875 }, //17 April 2012, UT1-UTC=-0.5308746, Accumulated Leap Seconds=34 + { 2456035.50, 66.716206 }, //18 April 2012, UT1-UTC=-0.5322055, Accumulated Leap Seconds=34 + { 2456036.50, 66.717485 }, //19 April 2012, UT1-UTC=-0.5334851, Accumulated Leap Seconds=34 + { 2456037.50, 66.718722 }, //20 April 2012, UT1-UTC=-0.5347225, Accumulated Leap Seconds=34 + { 2456038.50, 66.719851 }, //21 April 2012, UT1-UTC=-0.5358514, Accumulated Leap Seconds=34 + { 2456039.50, 66.720877 }, //22 April 2012, UT1-UTC=-0.5368770, Accumulated Leap Seconds=34 + { 2456040.50, 66.721801 }, //23 April 2012, UT1-UTC=-0.5378007, Accumulated Leap Seconds=34 + { 2456041.50, 66.722631 }, //24 April 2012, UT1-UTC=-0.5386314, Accumulated Leap Seconds=34 + { 2456042.50, 66.723393 }, //25 April 2012, UT1-UTC=-0.5393933, Accumulated Leap Seconds=34 + { 2456043.50, 66.724148 }, //26 April 2012, UT1-UTC=-0.5401479, Accumulated Leap Seconds=34 + { 2456044.50, 66.724941 }, //27 April 2012, UT1-UTC=-0.5409412, Accumulated Leap Seconds=34 + { 2456045.50, 66.725791 }, //28 April 2012, UT1-UTC=-0.5417915, Accumulated Leap Seconds=34 + { 2456046.50, 66.726687 }, //29 April 2012, UT1-UTC=-0.5426867, Accumulated Leap Seconds=34 + { 2456047.50, 66.727688 }, //30 April 2012, UT1-UTC=-0.5436883, Accumulated Leap Seconds=34 + { 2456048.50, 66.728873 }, //01 May 2012, UT1-UTC=-0.5448729, Accumulated Leap Seconds=34 + { 2456049.50, 66.730231 }, //02 May 2012, UT1-UTC=-0.5462308, Accumulated Leap Seconds=34 + { 2456050.50, 66.731702 }, //03 May 2012, UT1-UTC=-0.5477020, Accumulated Leap Seconds=34 + { 2456051.50, 66.733184 }, //04 May 2012, UT1-UTC=-0.5491839, Accumulated Leap Seconds=34 + { 2456052.50, 66.734584 }, //05 May 2012, UT1-UTC=-0.5505838, Accumulated Leap Seconds=34 + { 2456053.50, 66.735863 }, //06 May 2012, UT1-UTC=-0.5518634, Accumulated Leap Seconds=34 + { 2456054.50, 66.736955 }, //07 May 2012, UT1-UTC=-0.5529546, Accumulated Leap Seconds=34 + { 2456055.50, 66.737874 }, //08 May 2012, UT1-UTC=-0.5538741, Accumulated Leap Seconds=34 + { 2456056.50, 66.738696 }, //09 May 2012, UT1-UTC=-0.5546964, Accumulated Leap Seconds=34 + { 2456057.50, 66.739565 }, //10 May 2012, UT1-UTC=-0.5555650, Accumulated Leap Seconds=34 + { 2456058.50, 66.740491 }, //11 May 2012, UT1-UTC=-0.5564914, Accumulated Leap Seconds=34 + { 2456059.50, 66.741460 }, //12 May 2012, UT1-UTC=-0.5574596, Accumulated Leap Seconds=34 + { 2456060.50, 66.742483 }, //13 May 2012, UT1-UTC=-0.5584826, Accumulated Leap Seconds=34 + { 2456061.50, 66.743543 }, //14 May 2012, UT1-UTC=-0.5595429, Accumulated Leap Seconds=34 + { 2456062.50, 66.744611 }, //15 May 2012, UT1-UTC=-0.5606109, Accumulated Leap Seconds=34 + { 2456063.50, 66.745696 }, //16 May 2012, UT1-UTC=-0.5616964, Accumulated Leap Seconds=34 + { 2456064.50, 66.746693 }, //17 May 2012, UT1-UTC=-0.5626929, Accumulated Leap Seconds=34 + { 2456065.50, 66.747599 }, //18 May 2012, UT1-UTC=-0.5635986, Accumulated Leap Seconds=34 + { 2456066.50, 66.748342 }, //19 May 2012, UT1-UTC=-0.5643424, Accumulated Leap Seconds=34 + { 2456067.50, 66.748931 }, //20 May 2012, UT1-UTC=-0.5649315, Accumulated Leap Seconds=34 + { 2456068.50, 66.749396 }, //21 May 2012, UT1-UTC=-0.5653962, Accumulated Leap Seconds=34 + { 2456069.50, 66.749794 }, //22 May 2012, UT1-UTC=-0.5657943, Accumulated Leap Seconds=34 + { 2456070.50, 66.750175 }, //23 May 2012, UT1-UTC=-0.5661755, Accumulated Leap Seconds=34 + { 2456071.50, 66.750597 }, //24 May 2012, UT1-UTC=-0.5665975, Accumulated Leap Seconds=34 + { 2456072.50, 66.751092 }, //25 May 2012, UT1-UTC=-0.5670919, Accumulated Leap Seconds=34 + { 2456073.50, 66.751704 }, //26 May 2012, UT1-UTC=-0.5677043, Accumulated Leap Seconds=34 + { 2456074.50, 66.752445 }, //27 May 2012, UT1-UTC=-0.5684455, Accumulated Leap Seconds=34 + { 2456075.50, 66.753319 }, //28 May 2012, UT1-UTC=-0.5693193, Accumulated Leap Seconds=34 + { 2456076.50, 66.754332 }, //29 May 2012, UT1-UTC=-0.5703324, Accumulated Leap Seconds=34 + { 2456077.50, 66.755458 }, //30 May 2012, UT1-UTC=-0.5714580, Accumulated Leap Seconds=34 + { 2456078.50, 66.756657 }, //31 May 2012, UT1-UTC=-0.5726569, Accumulated Leap Seconds=34 + { 2456079.50, 66.757872 }, //01 June 2012, UT1-UTC=-0.5738719, Accumulated Leap Seconds=34 + { 2456080.50, 66.759013 }, //02 June 2012, UT1-UTC=-0.5750134, Accumulated Leap Seconds=34 + { 2456081.50, 66.759996 }, //03 June 2012, UT1-UTC=-0.5759962, Accumulated Leap Seconds=34 + { 2456082.50, 66.760819 }, //04 June 2012, UT1-UTC=-0.5768192, Accumulated Leap Seconds=34 + { 2456083.50, 66.761452 }, //05 June 2012, UT1-UTC=-0.5774521, Accumulated Leap Seconds=34 + { 2456084.50, 66.762023 }, //06 June 2012, UT1-UTC=-0.5780231, Accumulated Leap Seconds=34 + { 2456085.50, 66.762674 }, //07 June 2012, UT1-UTC=-0.5786736, Accumulated Leap Seconds=34 + { 2456086.50, 66.763443 }, //08 June 2012, UT1-UTC=-0.5794428, Accumulated Leap Seconds=34 + { 2456087.50, 66.764344 }, //09 June 2012, UT1-UTC=-0.5803438, Accumulated Leap Seconds=34 + { 2456088.50, 66.765241 }, //10 June 2012, UT1-UTC=-0.5812409, Accumulated Leap Seconds=34 + { 2456089.50, 66.766064 }, //11 June 2012, UT1-UTC=-0.5820641, Accumulated Leap Seconds=34 + { 2456090.50, 66.766842 }, //12 June 2012, UT1-UTC=-0.5828421, Accumulated Leap Seconds=34 + { 2456091.50, 66.767533 }, //13 June 2012, UT1-UTC=-0.5835328, Accumulated Leap Seconds=34 + { 2456092.50, 66.768088 }, //14 June 2012, UT1-UTC=-0.5840883, Accumulated Leap Seconds=34 + { 2456093.50, 66.768496 }, //15 June 2012, UT1-UTC=-0.5844962, Accumulated Leap Seconds=34 + { 2456094.50, 66.768758 }, //16 June 2012, UT1-UTC=-0.5847581, Accumulated Leap Seconds=34 + { 2456095.50, 66.768935 }, //17 June 2012, UT1-UTC=-0.5849351, Accumulated Leap Seconds=34 + { 2456096.50, 66.768985 }, //18 June 2012, UT1-UTC=-0.5849851, Accumulated Leap Seconds=34 + { 2456097.50, 66.768952 }, //19 June 2012, UT1-UTC=-0.5849518, Accumulated Leap Seconds=34 + { 2456098.50, 66.768882 }, //20 June 2012, UT1-UTC=-0.5848824, Accumulated Leap Seconds=34 + { 2456099.50, 66.768800 }, //21 June 2012, UT1-UTC=-0.5847996, Accumulated Leap Seconds=34 + { 2456100.50, 66.768750 }, //22 June 2012, UT1-UTC=-0.5847501, Accumulated Leap Seconds=34 + { 2456101.50, 66.768799 }, //23 June 2012, UT1-UTC=-0.5847991, Accumulated Leap Seconds=34 + { 2456102.50, 66.769014 }, //24 June 2012, UT1-UTC=-0.5850136, Accumulated Leap Seconds=34 + { 2456103.50, 66.769325 }, //25 June 2012, UT1-UTC=-0.5853254, Accumulated Leap Seconds=34 + { 2456104.50, 66.769723 }, //26 June 2012, UT1-UTC=-0.5857231, Accumulated Leap Seconds=34 + { 2456105.50, 66.770164 }, //27 June 2012, UT1-UTC=-0.5861642, Accumulated Leap Seconds=34 + { 2456106.50, 66.770535 }, //28 June 2012, UT1-UTC=-0.5865347, Accumulated Leap Seconds=34 + { 2456107.50, 66.770762 }, //29 June 2012, UT1-UTC=-0.5867620, Accumulated Leap Seconds=34 + { 2456108.50, 66.770837 }, //30 June 2012, UT1-UTC=-0.5868367, Accumulated Leap Seconds=34 + { 2456109.50, 66.770763 }, //01 July 2012, UT1-UTC= 0.4132375, Accumulated Leap Seconds=35 + { 2456110.50, 66.770566 }, //02 July 2012, UT1-UTC= 0.4134344, Accumulated Leap Seconds=35 + { 2456111.50, 66.770334 }, //03 July 2012, UT1-UTC= 0.4136664, Accumulated Leap Seconds=35 + { 2456112.50, 66.770163 }, //04 July 2012, UT1-UTC= 0.4138372, Accumulated Leap Seconds=35 + { 2456113.50, 66.770060 }, //05 July 2012, UT1-UTC= 0.4139396, Accumulated Leap Seconds=35 + { 2456114.50, 66.770089 }, //06 July 2012, UT1-UTC= 0.4139105, Accumulated Leap Seconds=35 + { 2456115.50, 66.770278 }, //07 July 2012, UT1-UTC= 0.4137221, Accumulated Leap Seconds=35 + { 2456116.50, 66.770533 }, //08 July 2012, UT1-UTC= 0.4134669, Accumulated Leap Seconds=35 + { 2456117.50, 66.770839 }, //09 July 2012, UT1-UTC= 0.4131610, Accumulated Leap Seconds=35 + { 2456118.50, 66.771097 }, //10 July 2012, UT1-UTC= 0.4129032, Accumulated Leap Seconds=35 + { 2456119.50, 66.771272 }, //11 July 2012, UT1-UTC= 0.4127281, Accumulated Leap Seconds=35 + { 2456120.50, 66.771311 }, //12 July 2012, UT1-UTC= 0.4126893, Accumulated Leap Seconds=35 + { 2456121.50, 66.771128 }, //13 July 2012, UT1-UTC= 0.4128718, Accumulated Leap Seconds=35 + { 2456122.50, 66.770879 }, //14 July 2012, UT1-UTC= 0.4131207, Accumulated Leap Seconds=35 + { 2456123.50, 66.770581 }, //15 July 2012, UT1-UTC= 0.4134191, Accumulated Leap Seconds=35 + { 2456124.50, 66.770211 }, //16 July 2012, UT1-UTC= 0.4137890, Accumulated Leap Seconds=35 + { 2456125.50, 66.769932 }, //17 July 2012, UT1-UTC= 0.4140682, Accumulated Leap Seconds=35 + { 2456126.50, 66.769786 }, //18 July 2012, UT1-UTC= 0.4142135, Accumulated Leap Seconds=35 + { 2456127.50, 66.769750 }, //19 July 2012, UT1-UTC= 0.4142499, Accumulated Leap Seconds=35 + { 2456128.50, 66.769928 }, //20 July 2012, UT1-UTC= 0.4140718, Accumulated Leap Seconds=35 + { 2456129.50, 66.770267 }, //21 July 2012, UT1-UTC= 0.4137326, Accumulated Leap Seconds=35 + { 2456130.50, 66.770741 }, //22 July 2012, UT1-UTC= 0.4132590, Accumulated Leap Seconds=35 + { 2456131.50, 66.771296 }, //23 July 2012, UT1-UTC= 0.4127044, Accumulated Leap Seconds=35 + { 2456132.50, 66.771871 }, //24 July 2012, UT1-UTC= 0.4121292, Accumulated Leap Seconds=35 + { 2456133.50, 66.772418 }, //25 July 2012, UT1-UTC= 0.4115821, Accumulated Leap Seconds=35 + { 2456134.50, 66.772884 }, //26 July 2012, UT1-UTC= 0.4111164, Accumulated Leap Seconds=35 + { 2456135.50, 66.773214 }, //27 July 2012, UT1-UTC= 0.4107859, Accumulated Leap Seconds=35 + { 2456136.50, 66.773452 }, //28 July 2012, UT1-UTC= 0.4105478, Accumulated Leap Seconds=35 + { 2456137.50, 66.773580 }, //29 July 2012, UT1-UTC= 0.4104204, Accumulated Leap Seconds=35 + { 2456138.50, 66.773657 }, //30 July 2012, UT1-UTC= 0.4103435, Accumulated Leap Seconds=35 + { 2456139.50, 66.773788 }, //31 July 2012, UT1-UTC= 0.4102122, Accumulated Leap Seconds=35 + { 2456140.50, 66.774043 }, //01 August 2012, UT1-UTC= 0.4099573, Accumulated Leap Seconds=35 + { 2456141.50, 66.774430 }, //02 August 2012, UT1-UTC= 0.4095700, Accumulated Leap Seconds=35 + { 2456142.50, 66.774942 }, //03 August 2012, UT1-UTC= 0.4090577, Accumulated Leap Seconds=35 + { 2456143.50, 66.775484 }, //04 August 2012, UT1-UTC= 0.4085156, Accumulated Leap Seconds=35 + { 2456144.50, 66.776078 }, //05 August 2012, UT1-UTC= 0.4079222, Accumulated Leap Seconds=35 + { 2456145.50, 66.776633 }, //06 August 2012, UT1-UTC= 0.4073667, Accumulated Leap Seconds=35 + { 2456146.50, 66.777057 }, //07 August 2012, UT1-UTC= 0.4069433, Accumulated Leap Seconds=35 + { 2456147.50, 66.777309 }, //08 August 2012, UT1-UTC= 0.4066915, Accumulated Leap Seconds=35 + { 2456148.50, 66.777414 }, //09 August 2012, UT1-UTC= 0.4065860, Accumulated Leap Seconds=35 + { 2456149.50, 66.777405 }, //10 August 2012, UT1-UTC= 0.4065948, Accumulated Leap Seconds=35 + { 2456150.50, 66.777332 }, //11 August 2012, UT1-UTC= 0.4066675, Accumulated Leap Seconds=35 + { 2456151.50, 66.777181 }, //12 August 2012, UT1-UTC= 0.4068189, Accumulated Leap Seconds=35 + { 2456152.50, 66.776980 }, //13 August 2012, UT1-UTC= 0.4070203, Accumulated Leap Seconds=35 + { 2456153.50, 66.776820 }, //14 August 2012, UT1-UTC= 0.4071800, Accumulated Leap Seconds=35 + { 2456154.50, 66.776772 }, //15 August 2012, UT1-UTC= 0.4072279, Accumulated Leap Seconds=35 + { 2456155.50, 66.776877 }, //16 August 2012, UT1-UTC= 0.4071232, Accumulated Leap Seconds=35 + { 2456156.50, 66.777148 }, //17 August 2012, UT1-UTC= 0.4068515, Accumulated Leap Seconds=35 + { 2456157.50, 66.777563 }, //18 August 2012, UT1-UTC= 0.4064372, Accumulated Leap Seconds=35 + { 2456158.50, 66.778136 }, //19 August 2012, UT1-UTC= 0.4058643, Accumulated Leap Seconds=35 + { 2456159.50, 66.778814 }, //20 August 2012, UT1-UTC= 0.4051864, Accumulated Leap Seconds=35 + { 2456160.50, 66.779498 }, //21 August 2012, UT1-UTC= 0.4045017, Accumulated Leap Seconds=35 + { 2456161.50, 66.780103 }, //22 August 2012, UT1-UTC= 0.4038969, Accumulated Leap Seconds=35 + { 2456162.50, 66.780585 }, //23 August 2012, UT1-UTC= 0.4034152, Accumulated Leap Seconds=35 + { 2456163.50, 66.780897 }, //24 August 2012, UT1-UTC= 0.4031028, Accumulated Leap Seconds=35 + { 2456164.50, 66.781077 }, //25 August 2012, UT1-UTC= 0.4029231, Accumulated Leap Seconds=35 + { 2456165.50, 66.781202 }, //26 August 2012, UT1-UTC= 0.4027980, Accumulated Leap Seconds=35 + { 2456166.50, 66.781393 }, //27 August 2012, UT1-UTC= 0.4026068, Accumulated Leap Seconds=35 + { 2456167.50, 66.781741 }, //28 August 2012, UT1-UTC= 0.4022594, Accumulated Leap Seconds=35 + { 2456168.50, 66.782280 }, //29 August 2012, UT1-UTC= 0.4017200, Accumulated Leap Seconds=35 + { 2456169.50, 66.782973 }, //30 August 2012, UT1-UTC= 0.4010269, Accumulated Leap Seconds=35 + { 2456170.50, 66.783764 }, //31 August 2012, UT1-UTC= 0.4002356, Accumulated Leap Seconds=35 + { 2456171.50, 66.784629 }, //01 September 2012, UT1-UTC= 0.3993712, Accumulated Leap Seconds=35 + { 2456172.50, 66.785458 }, //02 September 2012, UT1-UTC= 0.3985418, Accumulated Leap Seconds=35 + { 2456173.50, 66.786263 }, //03 September 2012, UT1-UTC= 0.3977367, Accumulated Leap Seconds=35 + { 2456174.50, 66.786997 }, //04 September 2012, UT1-UTC= 0.3970028, Accumulated Leap Seconds=35 + { 2456175.50, 66.787571 }, //05 September 2012, UT1-UTC= 0.3964291, Accumulated Leap Seconds=35 + { 2456176.50, 66.787955 }, //06 September 2012, UT1-UTC= 0.3960454, Accumulated Leap Seconds=35 + { 2456177.50, 66.788262 }, //07 September 2012, UT1-UTC= 0.3957383, Accumulated Leap Seconds=35 + { 2456178.50, 66.788510 }, //08 September 2012, UT1-UTC= 0.3954904, Accumulated Leap Seconds=35 + { 2456179.50, 66.788699 }, //09 September 2012, UT1-UTC= 0.3953013, Accumulated Leap Seconds=35 + { 2456180.50, 66.788956 }, //10 September 2012, UT1-UTC= 0.3950435, Accumulated Leap Seconds=35 + { 2456181.50, 66.789341 }, //11 September 2012, UT1-UTC= 0.3946592, Accumulated Leap Seconds=35 + { 2456182.50, 66.789900 }, //12 September 2012, UT1-UTC= 0.3941003, Accumulated Leap Seconds=35 + { 2456183.50, 66.790643 }, //13 September 2012, UT1-UTC= 0.3933570, Accumulated Leap Seconds=35 + { 2456184.50, 66.791609 }, //14 September 2012, UT1-UTC= 0.3923912, Accumulated Leap Seconds=35 + { 2456185.50, 66.792843 }, //15 September 2012, UT1-UTC= 0.3911574, Accumulated Leap Seconds=35 + { 2456186.50, 66.794245 }, //16 September 2012, UT1-UTC= 0.3897550, Accumulated Leap Seconds=35 + { 2456187.50, 66.795660 }, //17 September 2012, UT1-UTC= 0.3883395, Accumulated Leap Seconds=35 + { 2456188.50, 66.797024 }, //18 September 2012, UT1-UTC= 0.3869764, Accumulated Leap Seconds=35 + { 2456189.50, 66.798233 }, //19 September 2012, UT1-UTC= 0.3857667, Accumulated Leap Seconds=35 + { 2456190.50, 66.799276 }, //20 September 2012, UT1-UTC= 0.3847240, Accumulated Leap Seconds=35 + { 2456191.50, 66.800109 }, //21 September 2012, UT1-UTC= 0.3838911, Accumulated Leap Seconds=35 + { 2456192.50, 66.800767 }, //22 September 2012, UT1-UTC= 0.3832327, Accumulated Leap Seconds=35 + { 2456193.50, 66.801418 }, //23 September 2012, UT1-UTC= 0.3825820, Accumulated Leap Seconds=35 + { 2456194.50, 66.802132 }, //24 September 2012, UT1-UTC= 0.3818681, Accumulated Leap Seconds=35 + { 2456195.50, 66.802975 }, //25 September 2012, UT1-UTC= 0.3810252, Accumulated Leap Seconds=35 + { 2456196.50, 66.803990 }, //26 September 2012, UT1-UTC= 0.3800104, Accumulated Leap Seconds=35 + { 2456197.50, 66.805197 }, //27 September 2012, UT1-UTC= 0.3788030, Accumulated Leap Seconds=35 + { 2456198.50, 66.806534 }, //28 September 2012, UT1-UTC= 0.3774658, Accumulated Leap Seconds=35 + { 2456199.50, 66.807873 }, //29 September 2012, UT1-UTC= 0.3761275, Accumulated Leap Seconds=35 + { 2456200.50, 66.809165 }, //30 September 2012, UT1-UTC= 0.3748350, Accumulated Leap Seconds=35 + { 2456201.50, 66.810324 }, //01 October 2012, UT1-UTC= 0.3736760, Accumulated Leap Seconds=35 + { 2456202.50, 66.811308 }, //02 October 2012, UT1-UTC= 0.3726921, Accumulated Leap Seconds=35 + { 2456203.50, 66.812090 }, //03 October 2012, UT1-UTC= 0.3719102, Accumulated Leap Seconds=35 + { 2456204.50, 66.812754 }, //04 October 2012, UT1-UTC= 0.3712461, Accumulated Leap Seconds=35 + { 2456205.50, 66.813328 }, //05 October 2012, UT1-UTC= 0.3706723, Accumulated Leap Seconds=35 + { 2456206.50, 66.813837 }, //06 October 2012, UT1-UTC= 0.3701625, Accumulated Leap Seconds=35 + { 2456207.50, 66.814331 }, //07 October 2012, UT1-UTC= 0.3696688, Accumulated Leap Seconds=35 + { 2456208.50, 66.814886 }, //08 October 2012, UT1-UTC= 0.3691137, Accumulated Leap Seconds=35 + { 2456209.50, 66.815582 }, //09 October 2012, UT1-UTC= 0.3684180, Accumulated Leap Seconds=35 + { 2456210.50, 66.816447 }, //10 October 2012, UT1-UTC= 0.3675530, Accumulated Leap Seconds=35 + { 2456211.50, 66.817510 }, //11 October 2012, UT1-UTC= 0.3664901, Accumulated Leap Seconds=35 + { 2456212.50, 66.818739 }, //12 October 2012, UT1-UTC= 0.3652605, Accumulated Leap Seconds=35 + { 2456213.50, 66.820114 }, //13 October 2012, UT1-UTC= 0.3638862, Accumulated Leap Seconds=35 + { 2456214.50, 66.821601 }, //14 October 2012, UT1-UTC= 0.3623986, Accumulated Leap Seconds=35 + { 2456215.50, 66.823099 }, //15 October 2012, UT1-UTC= 0.3609005, Accumulated Leap Seconds=35 + { 2456216.50, 66.824514 }, //16 October 2012, UT1-UTC= 0.3594861, Accumulated Leap Seconds=35 + { 2456217.50, 66.825772 }, //17 October 2012, UT1-UTC= 0.3582281, Accumulated Leap Seconds=35 + { 2456218.50, 66.826836 }, //18 October 2012, UT1-UTC= 0.3571637, Accumulated Leap Seconds=35 + { 2456219.50, 66.827729 }, //19 October 2012, UT1-UTC= 0.3562709, Accumulated Leap Seconds=35 + { 2456220.50, 66.828509 }, //20 October 2012, UT1-UTC= 0.3554906, Accumulated Leap Seconds=35 + { 2456221.50, 66.829268 }, //21 October 2012, UT1-UTC= 0.3547319, Accumulated Leap Seconds=35 + { 2456222.50, 66.830088 }, //22 October 2012, UT1-UTC= 0.3539122, Accumulated Leap Seconds=35 + { 2456223.50, 66.830983 }, //23 October 2012, UT1-UTC= 0.3530166, Accumulated Leap Seconds=35 + { 2456224.50, 66.831985 }, //24 October 2012, UT1-UTC= 0.3520151, Accumulated Leap Seconds=35 + { 2456225.50, 66.833077 }, //25 October 2012, UT1-UTC= 0.3509232, Accumulated Leap Seconds=35 + { 2456226.50, 66.834228 }, //26 October 2012, UT1-UTC= 0.3497723, Accumulated Leap Seconds=35 + { 2456227.50, 66.835395 }, //27 October 2012, UT1-UTC= 0.3486052, Accumulated Leap Seconds=35 + { 2456228.50, 66.836506 }, //28 October 2012, UT1-UTC= 0.3474935, Accumulated Leap Seconds=35 + { 2456229.50, 66.837523 }, //29 October 2012, UT1-UTC= 0.3464766, Accumulated Leap Seconds=35 + { 2456230.50, 66.838444 }, //30 October 2012, UT1-UTC= 0.3455560, Accumulated Leap Seconds=35 + { 2456231.50, 66.839290 }, //31 October 2012, UT1-UTC= 0.3447103, Accumulated Leap Seconds=35 + { 2456232.50, 66.840048 }, //01 November 2012, UT1-UTC= 0.3439520, Accumulated Leap Seconds=35 + { 2456233.50, 66.840771 }, //02 November 2012, UT1-UTC= 0.3432288, Accumulated Leap Seconds=35 + { 2456234.50, 66.841458 }, //03 November 2012, UT1-UTC= 0.3425421, Accumulated Leap Seconds=35 + { 2456235.50, 66.842193 }, //04 November 2012, UT1-UTC= 0.3418066, Accumulated Leap Seconds=35 + { 2456236.50, 66.843040 }, //05 November 2012, UT1-UTC= 0.3409600, Accumulated Leap Seconds=35 + { 2456237.50, 66.843997 }, //06 November 2012, UT1-UTC= 0.3400028, Accumulated Leap Seconds=35 + { 2456238.50, 66.845052 }, //07 November 2012, UT1-UTC= 0.3389475, Accumulated Leap Seconds=35 + { 2456239.50, 66.846268 }, //08 November 2012, UT1-UTC= 0.3377324, Accumulated Leap Seconds=35 + { 2456240.50, 66.847619 }, //09 November 2012, UT1-UTC= 0.3363812, Accumulated Leap Seconds=35 + { 2456241.50, 66.849017 }, //10 November 2012, UT1-UTC= 0.3349834, Accumulated Leap Seconds=35 + { 2456242.50, 66.850466 }, //11 November 2012, UT1-UTC= 0.3335335, Accumulated Leap Seconds=35 + { 2456243.50, 66.851972 }, //12 November 2012, UT1-UTC= 0.3320284, Accumulated Leap Seconds=35 + { 2456244.50, 66.853467 }, //13 November 2012, UT1-UTC= 0.3305328, Accumulated Leap Seconds=35 + { 2456245.50, 66.854865 }, //14 November 2012, UT1-UTC= 0.3291351, Accumulated Leap Seconds=35 + { 2456246.50, 66.856181 }, //15 November 2012, UT1-UTC= 0.3278191, Accumulated Leap Seconds=35 + { 2456247.50, 66.857477 }, //16 November 2012, UT1-UTC= 0.3265233, Accumulated Leap Seconds=35 + { 2456248.50, 66.858780 }, //17 November 2012, UT1-UTC= 0.3252203, Accumulated Leap Seconds=35 + { 2456249.50, 66.860205 }, //18 November 2012, UT1-UTC= 0.3237945, Accumulated Leap Seconds=35 + { 2456250.50, 66.861812 }, //19 November 2012, UT1-UTC= 0.3221881, Accumulated Leap Seconds=35 + { 2456251.50, 66.863527 }, //20 November 2012, UT1-UTC= 0.3204726, Accumulated Leap Seconds=35 + { 2456252.50, 66.865267 }, //21 November 2012, UT1-UTC= 0.3187333, Accumulated Leap Seconds=35 + { 2456253.50, 66.866985 }, //22 November 2012, UT1-UTC= 0.3170146, Accumulated Leap Seconds=35 + { 2456254.50, 66.868653 }, //23 November 2012, UT1-UTC= 0.3153467, Accumulated Leap Seconds=35 + { 2456255.50, 66.870234 }, //24 November 2012, UT1-UTC= 0.3137657, Accumulated Leap Seconds=35 + { 2456256.50, 66.871670 }, //25 November 2012, UT1-UTC= 0.3123299, Accumulated Leap Seconds=35 + { 2456257.50, 66.872949 }, //26 November 2012, UT1-UTC= 0.3110510, Accumulated Leap Seconds=35 + { 2456258.50, 66.874111 }, //27 November 2012, UT1-UTC= 0.3098885, Accumulated Leap Seconds=35 + { 2456259.50, 66.875147 }, //28 November 2012, UT1-UTC= 0.3088531, Accumulated Leap Seconds=35 + { 2456260.50, 66.876087 }, //29 November 2012, UT1-UTC= 0.3079131, Accumulated Leap Seconds=35 + { 2456261.50, 66.876988 }, //30 November 2012, UT1-UTC= 0.3070124, Accumulated Leap Seconds=35 + { 2456262.50, 66.877860 }, //01 December 2012, UT1-UTC= 0.3061399, Accumulated Leap Seconds=35 + { 2456263.50, 66.878814 }, //02 December 2012, UT1-UTC= 0.3051859, Accumulated Leap Seconds=35 + { 2456264.50, 66.879848 }, //03 December 2012, UT1-UTC= 0.3041521, Accumulated Leap Seconds=35 + { 2456265.50, 66.880957 }, //04 December 2012, UT1-UTC= 0.3030432, Accumulated Leap Seconds=35 + { 2456266.50, 66.882160 }, //05 December 2012, UT1-UTC= 0.3018403, Accumulated Leap Seconds=35 + { 2456267.50, 66.883461 }, //06 December 2012, UT1-UTC= 0.3005391, Accumulated Leap Seconds=35 + { 2456268.50, 66.884822 }, //07 December 2012, UT1-UTC= 0.2991782, Accumulated Leap Seconds=35 + { 2456269.50, 66.886191 }, //08 December 2012, UT1-UTC= 0.2978093, Accumulated Leap Seconds=35 + { 2456270.50, 66.887546 }, //09 December 2012, UT1-UTC= 0.2964536, Accumulated Leap Seconds=35 + { 2456271.50, 66.888877 }, //10 December 2012, UT1-UTC= 0.2951226, Accumulated Leap Seconds=35 + { 2456272.50, 66.890101 }, //11 December 2012, UT1-UTC= 0.2938993, Accumulated Leap Seconds=35 + { 2456273.50, 66.891187 }, //12 December 2012, UT1-UTC= 0.2928127, Accumulated Leap Seconds=35 + { 2456274.50, 66.892142 }, //13 December 2012, UT1-UTC= 0.2918578, Accumulated Leap Seconds=35 + { 2456275.50, 66.893050 }, //14 December 2012, UT1-UTC= 0.2909503, Accumulated Leap Seconds=35 + { 2456276.50, 66.893982 }, //15 December 2012, UT1-UTC= 0.2900183, Accumulated Leap Seconds=35 + { 2456277.50, 66.894980 }, //16 December 2012, UT1-UTC= 0.2890199, Accumulated Leap Seconds=35 + { 2456278.50, 66.896052 }, //17 December 2012, UT1-UTC= 0.2879482, Accumulated Leap Seconds=35 + { 2456279.50, 66.897179 }, //18 December 2012, UT1-UTC= 0.2868211, Accumulated Leap Seconds=35 + { 2456280.50, 66.898298 }, //19 December 2012, UT1-UTC= 0.2857017, Accumulated Leap Seconds=35 + { 2456281.50, 66.899321 }, //20 December 2012, UT1-UTC= 0.2846791, Accumulated Leap Seconds=35 + { 2456282.50, 66.900197 }, //21 December 2012, UT1-UTC= 0.2838031, Accumulated Leap Seconds=35 + { 2456283.50, 66.900948 }, //22 December 2012, UT1-UTC= 0.2830518, Accumulated Leap Seconds=35 + { 2456284.50, 66.901664 }, //23 December 2012, UT1-UTC= 0.2823359, Accumulated Leap Seconds=35 + { 2456285.50, 66.902330 }, //24 December 2012, UT1-UTC= 0.2816704, Accumulated Leap Seconds=35 + { 2456286.50, 66.902895 }, //25 December 2012, UT1-UTC= 0.2811052, Accumulated Leap Seconds=35 + { 2456287.50, 66.903377 }, //26 December 2012, UT1-UTC= 0.2806228, Accumulated Leap Seconds=35 + { 2456288.50, 66.903836 }, //27 December 2012, UT1-UTC= 0.2801644, Accumulated Leap Seconds=35 + { 2456289.50, 66.904290 }, //28 December 2012, UT1-UTC= 0.2797098, Accumulated Leap Seconds=35 + { 2456290.50, 66.904760 }, //29 December 2012, UT1-UTC= 0.2792396, Accumulated Leap Seconds=35 + { 2456291.50, 66.905352 }, //30 December 2012, UT1-UTC= 0.2786482, Accumulated Leap Seconds=35 + { 2456292.50, 66.906073 }, //31 December 2012, UT1-UTC= 0.2779265, Accumulated Leap Seconds=35 + { 2456293.50, 66.906909 }, //01 January 2013, UT1-UTC= 0.2770909, Accumulated Leap Seconds=35 + { 2456294.50, 66.907870 }, //02 January 2013, UT1-UTC= 0.2761301, Accumulated Leap Seconds=35 + { 2456295.50, 66.908961 }, //03 January 2013, UT1-UTC= 0.2750390, Accumulated Leap Seconds=35 + { 2456296.50, 66.910141 }, //04 January 2013, UT1-UTC= 0.2738592, Accumulated Leap Seconds=35 + { 2456297.50, 66.911341 }, //05 January 2013, UT1-UTC= 0.2726594, Accumulated Leap Seconds=35 + { 2456298.50, 66.912528 }, //06 January 2013, UT1-UTC= 0.2714718, Accumulated Leap Seconds=35 + { 2456299.50, 66.913604 }, //07 January 2013, UT1-UTC= 0.2703958, Accumulated Leap Seconds=35 + { 2456300.50, 66.914537 }, //08 January 2013, UT1-UTC= 0.2694627, Accumulated Leap Seconds=35 + { 2456301.50, 66.915387 }, //09 January 2013, UT1-UTC= 0.2686133, Accumulated Leap Seconds=35 + { 2456302.50, 66.916238 }, //10 January 2013, UT1-UTC= 0.2677618, Accumulated Leap Seconds=35 + { 2456303.50, 66.917193 }, //11 January 2013, UT1-UTC= 0.2668071, Accumulated Leap Seconds=35 + { 2456304.50, 66.918274 }, //12 January 2013, UT1-UTC= 0.2657257, Accumulated Leap Seconds=35 + { 2456305.50, 66.919512 }, //13 January 2013, UT1-UTC= 0.2644880, Accumulated Leap Seconds=35 + { 2456306.50, 66.920917 }, //14 January 2013, UT1-UTC= 0.2630828, Accumulated Leap Seconds=35 + { 2456307.50, 66.922434 }, //15 January 2013, UT1-UTC= 0.2615655, Accumulated Leap Seconds=35 + { 2456308.50, 66.923926 }, //16 January 2013, UT1-UTC= 0.2600741, Accumulated Leap Seconds=35 + { 2456309.50, 66.925320 }, //17 January 2013, UT1-UTC= 0.2586797, Accumulated Leap Seconds=35 + { 2456310.50, 66.926624 }, //18 January 2013, UT1-UTC= 0.2573759, Accumulated Leap Seconds=35 + { 2456311.50, 66.927876 }, //19 January 2013, UT1-UTC= 0.2561239, Accumulated Leap Seconds=35 + { 2456312.50, 66.929037 }, //20 January 2013, UT1-UTC= 0.2549625, Accumulated Leap Seconds=35 + { 2456313.50, 66.930137 }, //21 January 2013, UT1-UTC= 0.2538633, Accumulated Leap Seconds=35 + { 2456314.50, 66.931198 }, //22 January 2013, UT1-UTC= 0.2528018, Accumulated Leap Seconds=35 + { 2456315.50, 66.932263 }, //23 January 2013, UT1-UTC= 0.2517366, Accumulated Leap Seconds=35 + { 2456316.50, 66.933356 }, //24 January 2013, UT1-UTC= 0.2506442, Accumulated Leap Seconds=35 + { 2456317.50, 66.934484 }, //25 January 2013, UT1-UTC= 0.2495164, Accumulated Leap Seconds=35 + { 2456318.50, 66.935610 }, //26 January 2013, UT1-UTC= 0.2483898, Accumulated Leap Seconds=35 + { 2456319.50, 66.936858 }, //27 January 2013, UT1-UTC= 0.2471418, Accumulated Leap Seconds=35 + { 2456320.50, 66.938236 }, //28 January 2013, UT1-UTC= 0.2457638, Accumulated Leap Seconds=35 + { 2456321.50, 66.939698 }, //29 January 2013, UT1-UTC= 0.2443016, Accumulated Leap Seconds=35 + { 2456322.50, 66.941192 }, //30 January 2013, UT1-UTC= 0.2428084, Accumulated Leap Seconds=35 + { 2456323.50, 66.942763 }, //31 January 2013, UT1-UTC= 0.2412368, Accumulated Leap Seconds=35 + { 2456324.50, 66.944259 }, //01 February 2013, UT1-UTC= 0.2397410, Accumulated Leap Seconds=35 + { 2456325.50, 66.945640 }, //02 February 2013, UT1-UTC= 0.2383595, Accumulated Leap Seconds=35 + { 2456326.50, 66.946864 }, //03 February 2013, UT1-UTC= 0.2371356, Accumulated Leap Seconds=35 + { 2456327.50, 66.947963 }, //04 February 2013, UT1-UTC= 0.2360374, Accumulated Leap Seconds=35 + { 2456328.50, 66.948970 }, //05 February 2013, UT1-UTC= 0.2350300, Accumulated Leap Seconds=35 + { 2456329.50, 66.949892 }, //06 February 2013, UT1-UTC= 0.2341084, Accumulated Leap Seconds=35 + { 2456330.50, 66.950826 }, //07 February 2013, UT1-UTC= 0.2331743, Accumulated Leap Seconds=35 + { 2456331.50, 66.951863 }, //08 February 2013, UT1-UTC= 0.2321369, Accumulated Leap Seconds=35 + { 2456332.50, 66.953060 }, //09 February 2013, UT1-UTC= 0.2309402, Accumulated Leap Seconds=35 + { 2456333.50, 66.954395 }, //10 February 2013, UT1-UTC= 0.2296051, Accumulated Leap Seconds=35 + { 2456334.50, 66.955804 }, //11 February 2013, UT1-UTC= 0.2281962, Accumulated Leap Seconds=35 + { 2456335.50, 66.957225 }, //12 February 2013, UT1-UTC= 0.2267749, Accumulated Leap Seconds=35 + { 2456336.50, 66.958553 }, //13 February 2013, UT1-UTC= 0.2254471, Accumulated Leap Seconds=35 + { 2456337.50, 66.959713 }, //14 February 2013, UT1-UTC= 0.2242867, Accumulated Leap Seconds=35 + { 2456338.50, 66.960712 }, //15 February 2013, UT1-UTC= 0.2232879, Accumulated Leap Seconds=35 + { 2456339.50, 66.961616 }, //16 February 2013, UT1-UTC= 0.2223839, Accumulated Leap Seconds=35 + { 2456340.50, 66.962413 }, //17 February 2013, UT1-UTC= 0.2215870, Accumulated Leap Seconds=35 + { 2456341.50, 66.963102 }, //18 February 2013, UT1-UTC= 0.2208981, Accumulated Leap Seconds=35 + { 2456342.50, 66.963723 }, //19 February 2013, UT1-UTC= 0.2202771, Accumulated Leap Seconds=35 + { 2456343.50, 66.964359 }, //20 February 2013, UT1-UTC= 0.2196415, Accumulated Leap Seconds=35 + { 2456344.50, 66.965068 }, //21 February 2013, UT1-UTC= 0.2189318, Accumulated Leap Seconds=35 + { 2456345.50, 66.965919 }, //22 February 2013, UT1-UTC= 0.2180807, Accumulated Leap Seconds=35 + { 2456346.50, 66.966949 }, //23 February 2013, UT1-UTC= 0.2170512, Accumulated Leap Seconds=35 + { 2456347.50, 66.968155 }, //24 February 2013, UT1-UTC= 0.2158446, Accumulated Leap Seconds=35 + { 2456348.50, 66.969517 }, //25 February 2013, UT1-UTC= 0.2144827, Accumulated Leap Seconds=35 + { 2456349.50, 66.971072 }, //26 February 2013, UT1-UTC= 0.2129276, Accumulated Leap Seconds=35 + { 2456350.50, 66.972753 }, //27 February 2013, UT1-UTC= 0.2112466, Accumulated Leap Seconds=35 + { 2456351.50, 66.974508 }, //28 February 2013, UT1-UTC= 0.2094922, Accumulated Leap Seconds=35 + { 2456352.50, 66.976251 }, //01 March 2013, UT1-UTC= 0.2077492, Accumulated Leap Seconds=35 + { 2456353.50, 66.977938 }, //02 March 2013, UT1-UTC= 0.2060622, Accumulated Leap Seconds=35 + { 2456354.50, 66.979469 }, //03 March 2013, UT1-UTC= 0.2045307, Accumulated Leap Seconds=35 + { 2456355.50, 66.980928 }, //04 March 2013, UT1-UTC= 0.2030719, Accumulated Leap Seconds=35 + { 2456356.50, 66.982393 }, //05 March 2013, UT1-UTC= 0.2016072, Accumulated Leap Seconds=35 + { 2456357.50, 66.983886 }, //06 March 2013, UT1-UTC= 0.2001142, Accumulated Leap Seconds=35 + { 2456358.50, 66.985436 }, //07 March 2013, UT1-UTC= 0.1985640, Accumulated Leap Seconds=35 + { 2456359.50, 66.987092 }, //08 March 2013, UT1-UTC= 0.1969081, Accumulated Leap Seconds=35 + { 2456360.50, 66.988847 }, //09 March 2013, UT1-UTC= 0.1951532, Accumulated Leap Seconds=35 + { 2456361.50, 66.990718 }, //10 March 2013, UT1-UTC= 0.1932825, Accumulated Leap Seconds=35 + { 2456362.50, 66.992619 }, //11 March 2013, UT1-UTC= 0.1913807, Accumulated Leap Seconds=35 + { 2456363.50, 66.994495 }, //12 March 2013, UT1-UTC= 0.1895051, Accumulated Leap Seconds=35 + { 2456364.50, 66.996338 }, //13 March 2013, UT1-UTC= 0.1876624, Accumulated Leap Seconds=35 + { 2456365.50, 66.998089 }, //14 March 2013, UT1-UTC= 0.1859111, Accumulated Leap Seconds=35 + { 2456366.50, 66.999695 }, //15 March 2013, UT1-UTC= 0.1843053, Accumulated Leap Seconds=35 + { 2456367.50, 67.001166 }, //16 March 2013, UT1-UTC= 0.1828344, Accumulated Leap Seconds=35 + { 2456368.50, 67.002538 }, //17 March 2013, UT1-UTC= 0.1814622, Accumulated Leap Seconds=35 + { 2456369.50, 67.003799 }, //18 March 2013, UT1-UTC= 0.1802006, Accumulated Leap Seconds=35 + { 2456370.50, 67.004995 }, //19 March 2013, UT1-UTC= 0.1790053, Accumulated Leap Seconds=35 + { 2456371.50, 67.006135 }, //20 March 2013, UT1-UTC= 0.1778653, Accumulated Leap Seconds=35 + { 2456372.50, 67.007314 }, //21 March 2013, UT1-UTC= 0.1766857, Accumulated Leap Seconds=35 + { 2456373.50, 67.008525 }, //22 March 2013, UT1-UTC= 0.1754752, Accumulated Leap Seconds=35 + { 2456374.50, 67.009844 }, //23 March 2013, UT1-UTC= 0.1741560, Accumulated Leap Seconds=35 + { 2456375.50, 67.011339 }, //24 March 2013, UT1-UTC= 0.1726614, Accumulated Leap Seconds=35 + { 2456376.50, 67.012985 }, //25 March 2013, UT1-UTC= 0.1710147, Accumulated Leap Seconds=35 + { 2456377.50, 67.014769 }, //26 March 2013, UT1-UTC= 0.1692309, Accumulated Leap Seconds=35 + { 2456378.50, 67.016674 }, //27 March 2013, UT1-UTC= 0.1673260, Accumulated Leap Seconds=35 + { 2456379.50, 67.018650 }, //28 March 2013, UT1-UTC= 0.1653499, Accumulated Leap Seconds=35 + { 2456380.50, 67.020584 }, //29 March 2013, UT1-UTC= 0.1634160, Accumulated Leap Seconds=35 + { 2456381.50, 67.022441 }, //30 March 2013, UT1-UTC= 0.1615592, Accumulated Leap Seconds=35 + { 2456382.50, 67.024175 }, //31 March 2013, UT1-UTC= 0.1598249, Accumulated Leap Seconds=35 + { 2456383.50, 67.025813 }, //01 April 2013, UT1-UTC= 0.1581874, Accumulated Leap Seconds=35 + { 2456384.50, 67.027387 }, //02 April 2013, UT1-UTC= 0.1566131, Accumulated Leap Seconds=35 + { 2456385.50, 67.028971 }, //03 April 2013, UT1-UTC= 0.1550285, Accumulated Leap Seconds=35 + { 2456386.50, 67.030575 }, //04 April 2013, UT1-UTC= 0.1534245, Accumulated Leap Seconds=35 + { 2456387.50, 67.032259 }, //05 April 2013, UT1-UTC= 0.1517410, Accumulated Leap Seconds=35 + { 2456388.50, 67.034089 }, //06 April 2013, UT1-UTC= 0.1499114, Accumulated Leap Seconds=35 + { 2456389.50, 67.035978 }, //07 April 2013, UT1-UTC= 0.1480220, Accumulated Leap Seconds=35 + { 2456390.50, 67.037854 }, //08 April 2013, UT1-UTC= 0.1461464, Accumulated Leap Seconds=35 + { 2456391.50, 67.039699 }, //09 April 2013, UT1-UTC= 0.1443015, Accumulated Leap Seconds=35 + { 2456392.50, 67.041451 }, //10 April 2013, UT1-UTC= 0.1425486, Accumulated Leap Seconds=35 + { 2456393.50, 67.043056 }, //11 April 2013, UT1-UTC= 0.1409438, Accumulated Leap Seconds=35 + { 2456394.50, 67.044492 }, //12 April 2013, UT1-UTC= 0.1395077, Accumulated Leap Seconds=35 + { 2456395.50, 67.045786 }, //13 April 2013, UT1-UTC= 0.1382141, Accumulated Leap Seconds=35 + { 2456396.50, 67.046968 }, //14 April 2013, UT1-UTC= 0.1370315, Accumulated Leap Seconds=35 + { 2456397.50, 67.048065 }, //15 April 2013, UT1-UTC= 0.1359352, Accumulated Leap Seconds=35 + { 2456398.50, 67.049166 }, //16 April 2013, UT1-UTC= 0.1348339, Accumulated Leap Seconds=35 + { 2456399.50, 67.050315 }, //17 April 2013, UT1-UTC= 0.1336846, Accumulated Leap Seconds=35 + { 2456400.50, 67.051476 }, //18 April 2013, UT1-UTC= 0.1325236, Accumulated Leap Seconds=35 + { 2456401.50, 67.052714 }, //19 April 2013, UT1-UTC= 0.1312859, Accumulated Leap Seconds=35 + { 2456402.50, 67.054114 }, //20 April 2013, UT1-UTC= 0.1298863, Accumulated Leap Seconds=35 + { 2456403.50, 67.055656 }, //21 April 2013, UT1-UTC= 0.1283439, Accumulated Leap Seconds=35 + { 2456404.50, 67.057289 }, //22 April 2013, UT1-UTC= 0.1267108, Accumulated Leap Seconds=35 + { 2456405.50, 67.059038 }, //23 April 2013, UT1-UTC= 0.1249617, Accumulated Leap Seconds=35 + { 2456406.50, 67.060863 }, //24 April 2013, UT1-UTC= 0.1231367, Accumulated Leap Seconds=35 + { 2456407.50, 67.062678 }, //25 April 2013, UT1-UTC= 0.1213216, Accumulated Leap Seconds=35 + { 2456408.50, 67.064429 }, //26 April 2013, UT1-UTC= 0.1195707, Accumulated Leap Seconds=35 + { 2456409.50, 67.066046 }, //27 April 2013, UT1-UTC= 0.1179535, Accumulated Leap Seconds=35 + { 2456410.50, 67.067504 }, //28 April 2013, UT1-UTC= 0.1164958, Accumulated Leap Seconds=35 + { 2456411.50, 67.068873 }, //29 April 2013, UT1-UTC= 0.1151272, Accumulated Leap Seconds=35 + { 2456412.50, 67.070230 }, //30 April 2013, UT1-UTC= 0.1137697, Accumulated Leap Seconds=35 + { 2456413.50, 67.071629 }, //01 May 2013, UT1-UTC= 0.1123714, Accumulated Leap Seconds=35 + { 2456414.50, 67.073105 }, //02 May 2013, UT1-UTC= 0.1108950, Accumulated Leap Seconds=35 + { 2456415.50, 67.074704 }, //03 May 2013, UT1-UTC= 0.1092964, Accumulated Leap Seconds=35 + { 2456416.50, 67.076355 }, //04 May 2013, UT1-UTC= 0.1076446, Accumulated Leap Seconds=35 + { 2456417.50, 67.078060 }, //05 May 2013, UT1-UTC= 0.1059401, Accumulated Leap Seconds=35 + { 2456418.50, 67.079723 }, //06 May 2013, UT1-UTC= 0.1042767, Accumulated Leap Seconds=35 + { 2456419.50, 67.081326 }, //07 May 2013, UT1-UTC= 0.1026739, Accumulated Leap Seconds=35 + { 2456420.50, 67.082869 }, //08 May 2013, UT1-UTC= 0.1011310, Accumulated Leap Seconds=35 + { 2456421.50, 67.084248 }, //09 May 2013, UT1-UTC= 0.0997519, Accumulated Leap Seconds=35 + { 2456422.50, 67.085441 }, //10 May 2013, UT1-UTC= 0.0985591, Accumulated Leap Seconds=35 + { 2456423.50, 67.086537 }, //11 May 2013, UT1-UTC= 0.0974628, Accumulated Leap Seconds=35 + { 2456424.50, 67.087533 }, //12 May 2013, UT1-UTC= 0.0964673, Accumulated Leap Seconds=35 + { 2456425.50, 67.088444 }, //13 May 2013, UT1-UTC= 0.0955559, Accumulated Leap Seconds=35 + { 2456426.50, 67.089332 }, //14 May 2013, UT1-UTC= 0.0946677, Accumulated Leap Seconds=35 + { 2456427.50, 67.090268 }, //15 May 2013, UT1-UTC= 0.0937318, Accumulated Leap Seconds=35 + { 2456428.50, 67.091273 }, //16 May 2013, UT1-UTC= 0.0927271, Accumulated Leap Seconds=35 + { 2456429.50, 67.092397 }, //17 May 2013, UT1-UTC= 0.0916030, Accumulated Leap Seconds=35 + { 2456430.50, 67.093648 }, //18 May 2013, UT1-UTC= 0.0903520, Accumulated Leap Seconds=35 + { 2456431.50, 67.095043 }, //19 May 2013, UT1-UTC= 0.0889571, Accumulated Leap Seconds=35 + { 2456432.50, 67.096528 }, //20 May 2013, UT1-UTC= 0.0874723, Accumulated Leap Seconds=35 + { 2456433.50, 67.098051 }, //21 May 2013, UT1-UTC= 0.0859485, Accumulated Leap Seconds=35 + { 2456434.50, 67.099546 }, //22 May 2013, UT1-UTC= 0.0844544, Accumulated Leap Seconds=35 + { 2456435.50, 67.100954 }, //23 May 2013, UT1-UTC= 0.0830456, Accumulated Leap Seconds=35 + { 2456436.50, 67.102261 }, //24 May 2013, UT1-UTC= 0.0817386, Accumulated Leap Seconds=35 + { 2456437.50, 67.103472 }, //25 May 2013, UT1-UTC= 0.0805279, Accumulated Leap Seconds=35 + { 2456438.50, 67.104547 }, //26 May 2013, UT1-UTC= 0.0794526, Accumulated Leap Seconds=35 + { 2456439.50, 67.105516 }, //27 May 2013, UT1-UTC= 0.0784835, Accumulated Leap Seconds=35 + { 2456440.50, 67.106432 }, //28 May 2013, UT1-UTC= 0.0775684, Accumulated Leap Seconds=35 + { 2456441.50, 67.107325 }, //29 May 2013, UT1-UTC= 0.0766749, Accumulated Leap Seconds=35 + { 2456442.50, 67.108246 }, //30 May 2013, UT1-UTC= 0.0757541, Accumulated Leap Seconds=35 + { 2456443.50, 67.109189 }, //31 May 2013, UT1-UTC= 0.0748112, Accumulated Leap Seconds=35 + { 2456444.50, 67.110018 }, //01 June 2013, UT1-UTC= 0.0739816, Accumulated Leap Seconds=35 + { 2456445.50, 67.110786 }, //02 June 2013, UT1-UTC= 0.0732142, Accumulated Leap Seconds=35 + { 2456446.50, 67.111474 }, //03 June 2013, UT1-UTC= 0.0725261, Accumulated Leap Seconds=35 + { 2456447.50, 67.112081 }, //04 June 2013, UT1-UTC= 0.0719188, Accumulated Leap Seconds=35 + { 2456448.50, 67.112558 }, //05 June 2013, UT1-UTC= 0.0714419, Accumulated Leap Seconds=35 + { 2456449.50, 67.112928 }, //06 June 2013, UT1-UTC= 0.0710720, Accumulated Leap Seconds=35 + { 2456450.50, 67.113206 }, //07 June 2013, UT1-UTC= 0.0707938, Accumulated Leap Seconds=35 + { 2456451.50, 67.113393 }, //08 June 2013, UT1-UTC= 0.0706070, Accumulated Leap Seconds=35 + { 2456452.50, 67.113485 }, //09 June 2013, UT1-UTC= 0.0705147, Accumulated Leap Seconds=35 + { 2456453.50, 67.113577 }, //10 June 2013, UT1-UTC= 0.0704234, Accumulated Leap Seconds=35 + { 2456454.50, 67.113758 }, //11 June 2013, UT1-UTC= 0.0702420, Accumulated Leap Seconds=35 + { 2456455.50, 67.114002 }, //12 June 2013, UT1-UTC= 0.0699977, Accumulated Leap Seconds=35 + { 2456456.50, 67.114344 }, //13 June 2013, UT1-UTC= 0.0696561, Accumulated Leap Seconds=35 + { 2456457.50, 67.114843 }, //14 June 2013, UT1-UTC= 0.0691571, Accumulated Leap Seconds=35 + { 2456458.50, 67.115465 }, //15 June 2013, UT1-UTC= 0.0685349, Accumulated Leap Seconds=35 + { 2456459.50, 67.116194 }, //16 June 2013, UT1-UTC= 0.0678064, Accumulated Leap Seconds=35 + { 2456460.50, 67.116994 }, //17 June 2013, UT1-UTC= 0.0670063, Accumulated Leap Seconds=35 + { 2456461.50, 67.117869 }, //18 June 2013, UT1-UTC= 0.0661313, Accumulated Leap Seconds=35 + { 2456462.50, 67.118705 }, //19 June 2013, UT1-UTC= 0.0652946, Accumulated Leap Seconds=35 + { 2456463.50, 67.119506 }, //20 June 2013, UT1-UTC= 0.0644936, Accumulated Leap Seconds=35 + { 2456464.50, 67.120229 }, //21 June 2013, UT1-UTC= 0.0637705, Accumulated Leap Seconds=35 + { 2456465.50, 67.120822 }, //22 June 2013, UT1-UTC= 0.0631776, Accumulated Leap Seconds=35 + { 2456466.50, 67.121376 }, //23 June 2013, UT1-UTC= 0.0626242, Accumulated Leap Seconds=35 + { 2456467.50, 67.121951 }, //24 June 2013, UT1-UTC= 0.0620486, Accumulated Leap Seconds=35 + { 2456468.50, 67.122621 }, //25 June 2013, UT1-UTC= 0.0613785, Accumulated Leap Seconds=35 + { 2456469.50, 67.123359 }, //26 June 2013, UT1-UTC= 0.0606405, Accumulated Leap Seconds=35 + { 2456470.50, 67.124157 }, //27 June 2013, UT1-UTC= 0.0598425, Accumulated Leap Seconds=35 + { 2456471.50, 67.124945 }, //28 June 2013, UT1-UTC= 0.0590551, Accumulated Leap Seconds=35 + { 2456472.50, 67.125662 }, //29 June 2013, UT1-UTC= 0.0583377, Accumulated Leap Seconds=35 + { 2456473.50, 67.126242 }, //30 June 2013, UT1-UTC= 0.0577583, Accumulated Leap Seconds=35 + { 2456474.50, 67.126640 }, //01 July 2013, UT1-UTC= 0.0573599, Accumulated Leap Seconds=35 + { 2456475.50, 67.126831 }, //02 July 2013, UT1-UTC= 0.0571685, Accumulated Leap Seconds=35 + { 2456476.50, 67.126848 }, //03 July 2013, UT1-UTC= 0.0571524, Accumulated Leap Seconds=35 + { 2456477.50, 67.126694 }, //04 July 2013, UT1-UTC= 0.0573061, Accumulated Leap Seconds=35 + { 2456478.50, 67.126414 }, //05 July 2013, UT1-UTC= 0.0575859, Accumulated Leap Seconds=35 + { 2456479.50, 67.126080 }, //06 July 2013, UT1-UTC= 0.0579201, Accumulated Leap Seconds=35 + { 2456480.50, 67.125729 }, //07 July 2013, UT1-UTC= 0.0582709, Accumulated Leap Seconds=35 + { 2456481.50, 67.125425 }, //08 July 2013, UT1-UTC= 0.0585745, Accumulated Leap Seconds=35 + { 2456482.50, 67.125231 }, //09 July 2013, UT1-UTC= 0.0587690, Accumulated Leap Seconds=35 + { 2456483.50, 67.125165 }, //10 July 2013, UT1-UTC= 0.0588351, Accumulated Leap Seconds=35 + { 2456484.50, 67.125244 }, //11 July 2013, UT1-UTC= 0.0587556, Accumulated Leap Seconds=35 + { 2456485.50, 67.125471 }, //12 July 2013, UT1-UTC= 0.0585291, Accumulated Leap Seconds=35 + { 2456486.50, 67.125784 }, //13 July 2013, UT1-UTC= 0.0582157, Accumulated Leap Seconds=35 + { 2456487.50, 67.126165 }, //14 July 2013, UT1-UTC= 0.0578346, Accumulated Leap Seconds=35 + { 2456488.50, 67.126584 }, //15 July 2013, UT1-UTC= 0.0574160, Accumulated Leap Seconds=35 + { 2456489.50, 67.127030 }, //16 July 2013, UT1-UTC= 0.0569702, Accumulated Leap Seconds=35 + { 2456490.50, 67.127463 }, //17 July 2013, UT1-UTC= 0.0565365, Accumulated Leap Seconds=35 + { 2456491.50, 67.127819 }, //18 July 2013, UT1-UTC= 0.0561813, Accumulated Leap Seconds=35 + { 2456492.50, 67.128128 }, //19 July 2013, UT1-UTC= 0.0558717, Accumulated Leap Seconds=35 + { 2456493.50, 67.128363 }, //20 July 2013, UT1-UTC= 0.0556366, Accumulated Leap Seconds=35 + { 2456494.50, 67.128583 }, //21 July 2013, UT1-UTC= 0.0554172, Accumulated Leap Seconds=35 + { 2456495.50, 67.128843 }, //22 July 2013, UT1-UTC= 0.0551567, Accumulated Leap Seconds=35 + { 2456496.50, 67.129218 }, //23 July 2013, UT1-UTC= 0.0547824, Accumulated Leap Seconds=35 + { 2456497.50, 67.129722 }, //24 July 2013, UT1-UTC= 0.0542778, Accumulated Leap Seconds=35 + { 2456498.50, 67.130341 }, //25 July 2013, UT1-UTC= 0.0536586, Accumulated Leap Seconds=35 + { 2456499.50, 67.130996 }, //26 July 2013, UT1-UTC= 0.0530038, Accumulated Leap Seconds=35 + { 2456500.50, 67.131642 }, //27 July 2013, UT1-UTC= 0.0523582, Accumulated Leap Seconds=35 + { 2456501.50, 67.132179 }, //28 July 2013, UT1-UTC= 0.0518211, Accumulated Leap Seconds=35 + { 2456502.50, 67.132604 }, //29 July 2013, UT1-UTC= 0.0513956, Accumulated Leap Seconds=35 + { 2456503.50, 67.132902 }, //30 July 2013, UT1-UTC= 0.0510983, Accumulated Leap Seconds=35 + { 2456504.50, 67.133060 }, //31 July 2013, UT1-UTC= 0.0509405, Accumulated Leap Seconds=35 + { 2456505.50, 67.133139 }, //01 August 2013, UT1-UTC= 0.0508609, Accumulated Leap Seconds=35 + { 2456506.50, 67.133136 }, //02 August 2013, UT1-UTC= 0.0508637, Accumulated Leap Seconds=35 + { 2456507.50, 67.133078 }, //03 August 2013, UT1-UTC= 0.0509223, Accumulated Leap Seconds=35 + { 2456508.50, 67.133044 }, //04 August 2013, UT1-UTC= 0.0509561, Accumulated Leap Seconds=35 + { 2456509.50, 67.133073 }, //05 August 2013, UT1-UTC= 0.0509268, Accumulated Leap Seconds=35 + { 2456510.50, 67.133218 }, //06 August 2013, UT1-UTC= 0.0507820, Accumulated Leap Seconds=35 + { 2456511.50, 67.133440 }, //07 August 2013, UT1-UTC= 0.0505595, Accumulated Leap Seconds=35 + { 2456512.50, 67.133759 }, //08 August 2013, UT1-UTC= 0.0502410, Accumulated Leap Seconds=35 + { 2456513.50, 67.134167 }, //09 August 2013, UT1-UTC= 0.0498328, Accumulated Leap Seconds=35 + { 2456514.50, 67.134668 }, //10 August 2013, UT1-UTC= 0.0493321, Accumulated Leap Seconds=35 + { 2456515.50, 67.135228 }, //11 August 2013, UT1-UTC= 0.0487723, Accumulated Leap Seconds=35 + { 2456516.50, 67.135755 }, //12 August 2013, UT1-UTC= 0.0482448, Accumulated Leap Seconds=35 + { 2456517.50, 67.136208 }, //13 August 2013, UT1-UTC= 0.0477920, Accumulated Leap Seconds=35 + { 2456518.50, 67.136602 }, //14 August 2013, UT1-UTC= 0.0473982, Accumulated Leap Seconds=35 + { 2456519.50, 67.136942 }, //15 August 2013, UT1-UTC= 0.0470580, Accumulated Leap Seconds=35 + { 2456520.50, 67.137247 }, //16 August 2013, UT1-UTC= 0.0467527, Accumulated Leap Seconds=35 + { 2456521.50, 67.137583 }, //17 August 2013, UT1-UTC= 0.0464170, Accumulated Leap Seconds=35 + { 2456522.50, 67.138028 }, //18 August 2013, UT1-UTC= 0.0459724, Accumulated Leap Seconds=35 + { 2456523.50, 67.138611 }, //19 August 2013, UT1-UTC= 0.0453891, Accumulated Leap Seconds=35 + { 2456524.50, 67.139327 }, //20 August 2013, UT1-UTC= 0.0446732, Accumulated Leap Seconds=35 + { 2456525.50, 67.140172 }, //21 August 2013, UT1-UTC= 0.0438280, Accumulated Leap Seconds=35 + { 2456526.50, 67.141052 }, //22 August 2013, UT1-UTC= 0.0429478, Accumulated Leap Seconds=35 + { 2456527.50, 67.141915 }, //23 August 2013, UT1-UTC= 0.0420853, Accumulated Leap Seconds=35 + { 2456528.50, 67.142717 }, //24 August 2013, UT1-UTC= 0.0412834, Accumulated Leap Seconds=35 + { 2456529.50, 67.143408 }, //25 August 2013, UT1-UTC= 0.0405919, Accumulated Leap Seconds=35 + { 2456530.50, 67.144003 }, //26 August 2013, UT1-UTC= 0.0399971, Accumulated Leap Seconds=35 + { 2456531.50, 67.144470 }, //27 August 2013, UT1-UTC= 0.0395295, Accumulated Leap Seconds=35 + { 2456532.50, 67.144807 }, //28 August 2013, UT1-UTC= 0.0391929, Accumulated Leap Seconds=35 + { 2456533.50, 67.145087 }, //29 August 2013, UT1-UTC= 0.0389134, Accumulated Leap Seconds=35 + { 2456534.50, 67.145317 }, //30 August 2013, UT1-UTC= 0.0386829, Accumulated Leap Seconds=35 + { 2456535.50, 67.145544 }, //31 August 2013, UT1-UTC= 0.0384563, Accumulated Leap Seconds=35 + { 2456536.50, 67.145797 }, //01 September 2013, UT1-UTC= 0.0382030, Accumulated Leap Seconds=35 + { 2456537.50, 67.146150 }, //02 September 2013, UT1-UTC= 0.0378499, Accumulated Leap Seconds=35 + { 2456538.50, 67.146614 }, //03 September 2013, UT1-UTC= 0.0373860, Accumulated Leap Seconds=35 + { 2456539.50, 67.147206 }, //04 September 2013, UT1-UTC= 0.0367941, Accumulated Leap Seconds=35 + { 2456540.50, 67.147939 }, //05 September 2013, UT1-UTC= 0.0360611, Accumulated Leap Seconds=35 + { 2456541.50, 67.148817 }, //06 September 2013, UT1-UTC= 0.0351828, Accumulated Leap Seconds=35 + { 2456542.50, 67.149772 }, //07 September 2013, UT1-UTC= 0.0342281, Accumulated Leap Seconds=35 + { 2456543.50, 67.150740 }, //08 September 2013, UT1-UTC= 0.0332595, Accumulated Leap Seconds=35 + { 2456544.50, 67.151644 }, //09 September 2013, UT1-UTC= 0.0323559, Accumulated Leap Seconds=35 + { 2456545.50, 67.152462 }, //10 September 2013, UT1-UTC= 0.0315380, Accumulated Leap Seconds=35 + { 2456546.50, 67.153217 }, //11 September 2013, UT1-UTC= 0.0307827, Accumulated Leap Seconds=35 + { 2456547.50, 67.153893 }, //12 September 2013, UT1-UTC= 0.0301072, Accumulated Leap Seconds=35 + { 2456548.50, 67.154523 }, //13 September 2013, UT1-UTC= 0.0294774, Accumulated Leap Seconds=35 + { 2456549.50, 67.155196 }, //14 September 2013, UT1-UTC= 0.0288044, Accumulated Leap Seconds=35 + { 2456550.50, 67.155982 }, //15 September 2013, UT1-UTC= 0.0280182, Accumulated Leap Seconds=35 + { 2456551.50, 67.156923 }, //16 September 2013, UT1-UTC= 0.0270773, Accumulated Leap Seconds=35 + { 2456552.50, 67.158038 }, //17 September 2013, UT1-UTC= 0.0259619, Accumulated Leap Seconds=35 + { 2456553.50, 67.159326 }, //18 September 2013, UT1-UTC= 0.0246739, Accumulated Leap Seconds=35 + { 2456554.50, 67.160695 }, //19 September 2013, UT1-UTC= 0.0233047, Accumulated Leap Seconds=35 + { 2456555.50, 67.162053 }, //20 September 2013, UT1-UTC= 0.0219471, Accumulated Leap Seconds=35 + { 2456556.50, 67.163265 }, //21 September 2013, UT1-UTC= 0.0207346, Accumulated Leap Seconds=35 + { 2456557.50, 67.164348 }, //22 September 2013, UT1-UTC= 0.0196520, Accumulated Leap Seconds=35 + { 2456558.50, 67.165296 }, //23 September 2013, UT1-UTC= 0.0187040, Accumulated Leap Seconds=35 + { 2456559.50, 67.166174 }, //24 September 2013, UT1-UTC= 0.0178257, Accumulated Leap Seconds=35 + { 2456560.50, 67.167026 }, //25 September 2013, UT1-UTC= 0.0169739, Accumulated Leap Seconds=35 + { 2456561.50, 67.167815 }, //26 September 2013, UT1-UTC= 0.0161847, Accumulated Leap Seconds=35 + { 2456562.50, 67.168564 }, //27 September 2013, UT1-UTC= 0.0154357, Accumulated Leap Seconds=35 + { 2456563.50, 67.169267 }, //28 September 2013, UT1-UTC= 0.0147334, Accumulated Leap Seconds=35 + { 2456564.50, 67.169992 }, //29 September 2013, UT1-UTC= 0.0140076, Accumulated Leap Seconds=35 + { 2456565.50, 67.170816 }, //30 September 2013, UT1-UTC= 0.0131841, Accumulated Leap Seconds=35 + { 2456566.50, 67.171740 }, //01 October 2013, UT1-UTC= 0.0122600, Accumulated Leap Seconds=35 + { 2456567.50, 67.172791 }, //02 October 2013, UT1-UTC= 0.0112094, Accumulated Leap Seconds=35 + { 2456568.50, 67.173976 }, //03 October 2013, UT1-UTC= 0.0100236, Accumulated Leap Seconds=35 + { 2456569.50, 67.175198 }, //04 October 2013, UT1-UTC= 0.0088021, Accumulated Leap Seconds=35 + { 2456570.50, 67.176489 }, //05 October 2013, UT1-UTC= 0.0075108, Accumulated Leap Seconds=35 + { 2456571.50, 67.177787 }, //06 October 2013, UT1-UTC= 0.0062132, Accumulated Leap Seconds=35 + { 2456572.50, 67.179051 }, //07 October 2013, UT1-UTC= 0.0049493, Accumulated Leap Seconds=35 + { 2456573.50, 67.180251 }, //08 October 2013, UT1-UTC= 0.0037486, Accumulated Leap Seconds=35 + { 2456574.50, 67.181416 }, //09 October 2013, UT1-UTC= 0.0025843, Accumulated Leap Seconds=35 + { 2456575.50, 67.182532 }, //10 October 2013, UT1-UTC= 0.0014680, Accumulated Leap Seconds=35 + { 2456576.50, 67.183617 }, //11 October 2013, UT1-UTC= 0.0003834, Accumulated Leap Seconds=35 + { 2456577.50, 67.184770 }, //12 October 2013, UT1-UTC=-0.0007695, Accumulated Leap Seconds=35 + { 2456578.50, 67.185957 }, //13 October 2013, UT1-UTC=-0.0019572, Accumulated Leap Seconds=35 + { 2456579.50, 67.187277 }, //14 October 2013, UT1-UTC=-0.0032770, Accumulated Leap Seconds=35 + { 2456580.50, 67.188719 }, //15 October 2013, UT1-UTC=-0.0047187, Accumulated Leap Seconds=35 + { 2456581.50, 67.190234 }, //16 October 2013, UT1-UTC=-0.0062343, Accumulated Leap Seconds=35 + { 2456582.50, 67.191748 }, //17 October 2013, UT1-UTC=-0.0077481, Accumulated Leap Seconds=35 + { 2456583.50, 67.193240 }, //18 October 2013, UT1-UTC=-0.0092401, Accumulated Leap Seconds=35 + { 2456584.50, 67.194596 }, //19 October 2013, UT1-UTC=-0.0105956, Accumulated Leap Seconds=35 + { 2456585.50, 67.195769 }, //20 October 2013, UT1-UTC=-0.0117687, Accumulated Leap Seconds=35 + { 2456586.50, 67.196766 }, //21 October 2013, UT1-UTC=-0.0127656, Accumulated Leap Seconds=35 + { 2456587.50, 67.197631 }, //22 October 2013, UT1-UTC=-0.0136313, Accumulated Leap Seconds=35 + { 2456588.50, 67.198420 }, //23 October 2013, UT1-UTC=-0.0144201, Accumulated Leap Seconds=35 + { 2456589.50, 67.199178 }, //24 October 2013, UT1-UTC=-0.0151783, Accumulated Leap Seconds=35 + { 2456590.50, 67.200025 }, //25 October 2013, UT1-UTC=-0.0160253, Accumulated Leap Seconds=35 + { 2456591.50, 67.201009 }, //26 October 2013, UT1-UTC=-0.0170091, Accumulated Leap Seconds=35 + { 2456592.50, 67.202064 }, //27 October 2013, UT1-UTC=-0.0180639, Accumulated Leap Seconds=35 + { 2456593.50, 67.203253 }, //28 October 2013, UT1-UTC=-0.0192528, Accumulated Leap Seconds=35 + { 2456594.50, 67.204606 }, //29 October 2013, UT1-UTC=-0.0206063, Accumulated Leap Seconds=35 + { 2456595.50, 67.206057 }, //30 October 2013, UT1-UTC=-0.0220570, Accumulated Leap Seconds=35 + { 2456596.50, 67.207586 }, //31 October 2013, UT1-UTC=-0.0235861, Accumulated Leap Seconds=35 + { 2456597.50, 67.209107 }, //01 November 2013, UT1-UTC=-0.0251069, Accumulated Leap Seconds=35 + { 2456598.50, 67.210525 }, //02 November 2013, UT1-UTC=-0.0265246, Accumulated Leap Seconds=35 + { 2456599.50, 67.211884 }, //03 November 2013, UT1-UTC=-0.0278841, Accumulated Leap Seconds=35 + { 2456600.50, 67.213209 }, //04 November 2013, UT1-UTC=-0.0292093, Accumulated Leap Seconds=35 + { 2456601.50, 67.214482 }, //05 November 2013, UT1-UTC=-0.0304821, Accumulated Leap Seconds=35 + { 2456602.50, 67.215726 }, //06 November 2013, UT1-UTC=-0.0317261, Accumulated Leap Seconds=35 + { 2456603.50, 67.216891 }, //07 November 2013, UT1-UTC=-0.0328912, Accumulated Leap Seconds=35 + { 2456604.50, 67.218033 }, //08 November 2013, UT1-UTC=-0.0340328, Accumulated Leap Seconds=35 + { 2456605.50, 67.219197 }, //09 November 2013, UT1-UTC=-0.0351967, Accumulated Leap Seconds=35 + { 2456606.50, 67.220445 }, //10 November 2013, UT1-UTC=-0.0364450, Accumulated Leap Seconds=35 + { 2456607.50, 67.221792 }, //11 November 2013, UT1-UTC=-0.0377924, Accumulated Leap Seconds=35 + { 2456608.50, 67.223229 }, //12 November 2013, UT1-UTC=-0.0392291, Accumulated Leap Seconds=35 + { 2456609.50, 67.224723 }, //13 November 2013, UT1-UTC=-0.0407233, Accumulated Leap Seconds=35 + { 2456610.50, 67.226188 }, //14 November 2013, UT1-UTC=-0.0421877, Accumulated Leap Seconds=35 + { 2456611.50, 67.227563 }, //15 November 2013, UT1-UTC=-0.0435631, Accumulated Leap Seconds=35 + { 2456612.50, 67.228772 }, //16 November 2013, UT1-UTC=-0.0447718, Accumulated Leap Seconds=35 + { 2456613.50, 67.229869 }, //17 November 2013, UT1-UTC=-0.0458689, Accumulated Leap Seconds=35 + { 2456614.50, 67.230872 }, //18 November 2013, UT1-UTC=-0.0468719, Accumulated Leap Seconds=35 + { 2456615.50, 67.231804 }, //19 November 2013, UT1-UTC=-0.0478037, Accumulated Leap Seconds=35 + { 2456616.50, 67.232691 }, //20 November 2013, UT1-UTC=-0.0486906, Accumulated Leap Seconds=35 + { 2456617.50, 67.233572 }, //21 November 2013, UT1-UTC=-0.0495717, Accumulated Leap Seconds=35 + { 2456618.50, 67.234453 }, //22 November 2013, UT1-UTC=-0.0504531, Accumulated Leap Seconds=35 + { 2456619.50, 67.235415 }, //23 November 2013, UT1-UTC=-0.0514154, Accumulated Leap Seconds=35 + { 2456620.50, 67.236543 }, //24 November 2013, UT1-UTC=-0.0525427, Accumulated Leap Seconds=35 + { 2456621.50, 67.237742 }, //25 November 2013, UT1-UTC=-0.0537417, Accumulated Leap Seconds=35 + { 2456622.50, 67.239000 }, //26 November 2013, UT1-UTC=-0.0549998, Accumulated Leap Seconds=35 + { 2456623.50, 67.240353 }, //27 November 2013, UT1-UTC=-0.0563533, Accumulated Leap Seconds=35 + { 2456624.50, 67.241785 }, //28 November 2013, UT1-UTC=-0.0577847, Accumulated Leap Seconds=35 + { 2456625.50, 67.243230 }, //29 November 2013, UT1-UTC=-0.0592297, Accumulated Leap Seconds=35 + { 2456626.50, 67.244613 }, //30 November 2013, UT1-UTC=-0.0606129, Accumulated Leap Seconds=35 + { 2456627.50, 67.245981 }, //01 December 2013, UT1-UTC=-0.0619812, Accumulated Leap Seconds=35 + { 2456628.50, 67.247276 }, //02 December 2013, UT1-UTC=-0.0632761, Accumulated Leap Seconds=35 + { 2456629.50, 67.248483 }, //03 December 2013, UT1-UTC=-0.0644831, Accumulated Leap Seconds=35 + { 2456630.50, 67.249597 }, //04 December 2013, UT1-UTC=-0.0655974, Accumulated Leap Seconds=35 + { 2456631.50, 67.250748 }, //05 December 2013, UT1-UTC=-0.0667483, Accumulated Leap Seconds=35 + { 2456632.50, 67.251949 }, //06 December 2013, UT1-UTC=-0.0679488, Accumulated Leap Seconds=35 + { 2456633.50, 67.253255 }, //07 December 2013, UT1-UTC=-0.0692549, Accumulated Leap Seconds=35 + { 2456634.50, 67.254643 }, //08 December 2013, UT1-UTC=-0.0706430, Accumulated Leap Seconds=35 + { 2456635.50, 67.256071 }, //09 December 2013, UT1-UTC=-0.0720710, Accumulated Leap Seconds=35 + { 2456636.50, 67.257465 }, //10 December 2013, UT1-UTC=-0.0734653, Accumulated Leap Seconds=35 + { 2456637.50, 67.258760 }, //11 December 2013, UT1-UTC=-0.0747597, Accumulated Leap Seconds=35 + { 2456638.50, 67.259962 }, //12 December 2013, UT1-UTC=-0.0759619, Accumulated Leap Seconds=35 + { 2456639.50, 67.261056 }, //13 December 2013, UT1-UTC=-0.0770561, Accumulated Leap Seconds=35 + { 2456640.50, 67.262041 }, //14 December 2013, UT1-UTC=-0.0780415, Accumulated Leap Seconds=35 + { 2456641.50, 67.262878 }, //15 December 2013, UT1-UTC=-0.0788776, Accumulated Leap Seconds=35 + { 2456642.50, 67.263601 }, //16 December 2013, UT1-UTC=-0.0796010, Accumulated Leap Seconds=35 + { 2456643.50, 67.264240 }, //17 December 2013, UT1-UTC=-0.0802402, Accumulated Leap Seconds=35 + { 2456644.50, 67.264834 }, //18 December 2013, UT1-UTC=-0.0808341, Accumulated Leap Seconds=35 + { 2456645.50, 67.265477 }, //19 December 2013, UT1-UTC=-0.0814769, Accumulated Leap Seconds=35 + { 2456646.50, 67.266195 }, //20 December 2013, UT1-UTC=-0.0821954, Accumulated Leap Seconds=35 + { 2456647.50, 67.267042 }, //21 December 2013, UT1-UTC=-0.0830417, Accumulated Leap Seconds=35 + { 2456648.50, 67.268036 }, //22 December 2013, UT1-UTC=-0.0840356, Accumulated Leap Seconds=35 + { 2456649.50, 67.269159 }, //23 December 2013, UT1-UTC=-0.0851591, Accumulated Leap Seconds=35 + { 2456650.50, 67.270404 }, //24 December 2013, UT1-UTC=-0.0864035, Accumulated Leap Seconds=35 + { 2456651.50, 67.271727 }, //25 December 2013, UT1-UTC=-0.0877268, Accumulated Leap Seconds=35 + { 2456652.50, 67.273100 }, //26 December 2013, UT1-UTC=-0.0890999, Accumulated Leap Seconds=35 + { 2456653.50, 67.274528 }, //27 December 2013, UT1-UTC=-0.0905278, Accumulated Leap Seconds=35 + { 2456654.50, 67.275954 }, //28 December 2013, UT1-UTC=-0.0919538, Accumulated Leap Seconds=35 + { 2456655.50, 67.277349 }, //29 December 2013, UT1-UTC=-0.0933492, Accumulated Leap Seconds=35 + { 2456656.50, 67.278658 }, //30 December 2013, UT1-UTC=-0.0946579, Accumulated Leap Seconds=35 + { 2456657.50, 67.279880 }, //31 December 2013, UT1-UTC=-0.0958804, Accumulated Leap Seconds=35 + { 2456658.50, 67.281038 }, //01 January 2014, UT1-UTC=-0.0970383, Accumulated Leap Seconds=35 + { 2456659.50, 67.282234 }, //02 January 2014, UT1-UTC=-0.0982338, Accumulated Leap Seconds=35 + { 2456660.50, 67.283509 }, //03 January 2014, UT1-UTC=-0.0995090, Accumulated Leap Seconds=35 + { 2456661.50, 67.284833 }, //04 January 2014, UT1-UTC=-0.1008335, Accumulated Leap Seconds=35 + { 2456662.50, 67.286236 }, //05 January 2014, UT1-UTC=-0.1022355, Accumulated Leap Seconds=35 + { 2456663.50, 67.287653 }, //06 January 2014, UT1-UTC=-0.1036535, Accumulated Leap Seconds=35 + { 2456664.50, 67.288989 }, //07 January 2014, UT1-UTC=-0.1049890, Accumulated Leap Seconds=35 + { 2456665.50, 67.290171 }, //08 January 2014, UT1-UTC=-0.1061710, Accumulated Leap Seconds=35 + { 2456666.50, 67.291190 }, //09 January 2014, UT1-UTC=-0.1071896, Accumulated Leap Seconds=35 + { 2456667.50, 67.292090 }, //10 January 2014, UT1-UTC=-0.1080903, Accumulated Leap Seconds=35 + { 2456668.50, 67.292849 }, //11 January 2014, UT1-UTC=-0.1088486, Accumulated Leap Seconds=35 + { 2456669.50, 67.293455 }, //12 January 2014, UT1-UTC=-0.1094555, Accumulated Leap Seconds=35 + { 2456670.50, 67.294027 }, //13 January 2014, UT1-UTC=-0.1100272, Accumulated Leap Seconds=35 + { 2456671.50, 67.294576 }, //14 January 2014, UT1-UTC=-0.1105759, Accumulated Leap Seconds=35 + { 2456672.50, 67.295158 }, //15 January 2014, UT1-UTC=-0.1111581, Accumulated Leap Seconds=35 + { 2456673.50, 67.295814 }, //16 January 2014, UT1-UTC=-0.1118144, Accumulated Leap Seconds=35 + { 2456674.50, 67.296595 }, //17 January 2014, UT1-UTC=-0.1125953, Accumulated Leap Seconds=35 + { 2456675.50, 67.297498 }, //18 January 2014, UT1-UTC=-0.1134977, Accumulated Leap Seconds=35 + { 2456676.50, 67.298549 }, //19 January 2014, UT1-UTC=-0.1145490, Accumulated Leap Seconds=35 + { 2456677.50, 67.299717 }, //20 January 2014, UT1-UTC=-0.1157167, Accumulated Leap Seconds=35 + { 2456678.50, 67.300949 }, //21 January 2014, UT1-UTC=-0.1169494, Accumulated Leap Seconds=35 + { 2456679.50, 67.302229 }, //22 January 2014, UT1-UTC=-0.1182290, Accumulated Leap Seconds=35 + { 2456680.50, 67.303515 }, //23 January 2014, UT1-UTC=-0.1195153, Accumulated Leap Seconds=35 + { 2456681.50, 67.304723 }, //24 January 2014, UT1-UTC=-0.1207227, Accumulated Leap Seconds=35 + { 2456682.50, 67.305832 }, //25 January 2014, UT1-UTC=-0.1218321, Accumulated Leap Seconds=35 + { 2456683.50, 67.306891 }, //26 January 2014, UT1-UTC=-0.1228909, Accumulated Leap Seconds=35 + { 2456684.50, 67.307850 }, //27 January 2014, UT1-UTC=-0.1238500, Accumulated Leap Seconds=35 + { 2456685.50, 67.308794 }, //28 January 2014, UT1-UTC=-0.1247940, Accumulated Leap Seconds=35 + { 2456686.50, 67.309816 }, //29 January 2014, UT1-UTC=-0.1258157, Accumulated Leap Seconds=35 + { 2456687.50, 67.310961 }, //30 January 2014, UT1-UTC=-0.1269615, Accumulated Leap Seconds=35 + { 2456688.50, 67.312264 }, //31 January 2014, UT1-UTC=-0.1282637, Accumulated Leap Seconds=35 + { 2456689.50, 67.313645 }, //01 February 2014, UT1-UTC=-0.1296452, Accumulated Leap Seconds=35 + { 2456690.50, 67.315052 }, //02 February 2014, UT1-UTC=-0.1310519, Accumulated Leap Seconds=35 + { 2456691.50, 67.316450 }, //03 February 2014, UT1-UTC=-0.1324499, Accumulated Leap Seconds=35 + { 2456692.50, 67.317737 }, //04 February 2014, UT1-UTC=-0.1337375, Accumulated Leap Seconds=35 + { 2456693.50, 67.318870 }, //05 February 2014, UT1-UTC=-0.1348701, Accumulated Leap Seconds=35 + { 2456694.50, 67.319775 }, //06 February 2014, UT1-UTC=-0.1357755, Accumulated Leap Seconds=35 + { 2456695.50, 67.320546 }, //07 February 2014, UT1-UTC=-0.1365457, Accumulated Leap Seconds=35 + { 2456696.50, 67.321227 }, //08 February 2014, UT1-UTC=-0.1372273, Accumulated Leap Seconds=35 + { 2456697.50, 67.321817 }, //09 February 2014, UT1-UTC=-0.1378173, Accumulated Leap Seconds=35 + { 2456698.50, 67.322382 }, //10 February 2014, UT1-UTC=-0.1383820, Accumulated Leap Seconds=35 + { 2456699.50, 67.323000 }, //11 February 2014, UT1-UTC=-0.1390005, Accumulated Leap Seconds=35 + { 2456700.50, 67.323669 }, //12 February 2014, UT1-UTC=-0.1396690, Accumulated Leap Seconds=35 + { 2456701.50, 67.324469 }, //13 February 2014, UT1-UTC=-0.1404686, Accumulated Leap Seconds=35 + { 2456702.50, 67.325399 }, //14 February 2014, UT1-UTC=-0.1413991, Accumulated Leap Seconds=35 + { 2456703.50, 67.326449 }, //15 February 2014, UT1-UTC=-0.1424488, Accumulated Leap Seconds=35 + { 2456704.50, 67.327646 }, //16 February 2014, UT1-UTC=-0.1436459, Accumulated Leap Seconds=35 + { 2456705.50, 67.328945 }, //17 February 2014, UT1-UTC=-0.1449452, Accumulated Leap Seconds=35 + { 2456706.50, 67.330308 }, //18 February 2014, UT1-UTC=-0.1463082, Accumulated Leap Seconds=35 + { 2456707.50, 67.331706 }, //19 February 2014, UT1-UTC=-0.1477058, Accumulated Leap Seconds=35 + { 2456708.50, 67.333058 }, //20 February 2014, UT1-UTC=-0.1490579, Accumulated Leap Seconds=35 + { 2456709.50, 67.334344 }, //21 February 2014, UT1-UTC=-0.1503436, Accumulated Leap Seconds=35 + { 2456710.50, 67.335542 }, //22 February 2014, UT1-UTC=-0.1515416, Accumulated Leap Seconds=35 + { 2456711.50, 67.336676 }, //23 February 2014, UT1-UTC=-0.1526764, Accumulated Leap Seconds=35 + { 2456712.50, 67.337818 }, //24 February 2014, UT1-UTC=-0.1538181, Accumulated Leap Seconds=35 + { 2456713.50, 67.339036 }, //25 February 2014, UT1-UTC=-0.1550359, Accumulated Leap Seconds=35 + { 2456714.50, 67.340392 }, //26 February 2014, UT1-UTC=-0.1563919, Accumulated Leap Seconds=35 + { 2456715.50, 67.341929 }, //27 February 2014, UT1-UTC=-0.1579295, Accumulated Leap Seconds=35 + { 2456716.50, 67.343734 }, //28 February 2014, UT1-UTC=-0.1597342, Accumulated Leap Seconds=35 + { 2456717.50, 67.345697 }, //01 March 2014, UT1-UTC=-0.1616968, Accumulated Leap Seconds=35 + { 2456718.50, 67.347690 }, //02 March 2014, UT1-UTC=-0.1636895, Accumulated Leap Seconds=35 + { 2456719.50, 67.349660 }, //03 March 2014, UT1-UTC=-0.1656599, Accumulated Leap Seconds=35 + { 2456720.50, 67.351522 }, //04 March 2014, UT1-UTC=-0.1675222, Accumulated Leap Seconds=35 + { 2456721.50, 67.353220 }, //05 March 2014, UT1-UTC=-0.1692196, Accumulated Leap Seconds=35 + { 2456722.50, 67.354739 }, //06 March 2014, UT1-UTC=-0.1707389, Accumulated Leap Seconds=35 + { 2456723.50, 67.356109 }, //07 March 2014, UT1-UTC=-0.1721094, Accumulated Leap Seconds=35 + { 2456724.50, 67.357344 }, //08 March 2014, UT1-UTC=-0.1733443, Accumulated Leap Seconds=35 + { 2456725.50, 67.358469 }, //09 March 2014, UT1-UTC=-0.1744687, Accumulated Leap Seconds=35 + { 2456726.50, 67.359548 }, //10 March 2014, UT1-UTC=-0.1755480, Accumulated Leap Seconds=35 + { 2456727.50, 67.360624 }, //11 March 2014, UT1-UTC=-0.1766243, Accumulated Leap Seconds=35 + { 2456728.50, 67.361674 }, //12 March 2014, UT1-UTC=-0.1776736, Accumulated Leap Seconds=35 + { 2456729.50, 67.362779 }, //13 March 2014, UT1-UTC=-0.1787788, Accumulated Leap Seconds=35 + { 2456730.50, 67.363977 }, //14 March 2014, UT1-UTC=-0.1799770, Accumulated Leap Seconds=35 + { 2456731.50, 67.365236 }, //15 March 2014, UT1-UTC=-0.1812363, Accumulated Leap Seconds=35 + { 2456732.50, 67.366513 }, //16 March 2014, UT1-UTC=-0.1825130, Accumulated Leap Seconds=35 + { 2456733.50, 67.367786 }, //17 March 2014, UT1-UTC=-0.1837860, Accumulated Leap Seconds=35 + { 2456734.50, 67.369030 }, //18 March 2014, UT1-UTC=-0.1850303, Accumulated Leap Seconds=35 + { 2456735.50, 67.370253 }, //19 March 2014, UT1-UTC=-0.1862528, Accumulated Leap Seconds=35 + { 2456736.50, 67.371441 }, //20 March 2014, UT1-UTC=-0.1874414, Accumulated Leap Seconds=35 + { 2456737.50, 67.372584 }, //21 March 2014, UT1-UTC=-0.1885837, Accumulated Leap Seconds=35 + { 2456738.50, 67.373681 }, //22 March 2014, UT1-UTC=-0.1896806, Accumulated Leap Seconds=35 + { 2456739.50, 67.374820 }, //23 March 2014, UT1-UTC=-0.1908195, Accumulated Leap Seconds=35 + { 2456740.50, 67.376046 }, //24 March 2014, UT1-UTC=-0.1920456, Accumulated Leap Seconds=35 + { 2456741.50, 67.377349 }, //25 March 2014, UT1-UTC=-0.1933490, Accumulated Leap Seconds=35 + { 2456742.50, 67.378788 }, //26 March 2014, UT1-UTC=-0.1947880, Accumulated Leap Seconds=35 + { 2456743.50, 67.380400 }, //27 March 2014, UT1-UTC=-0.1964000, Accumulated Leap Seconds=35 + { 2456744.50, 67.382100 }, //28 March 2014, UT1-UTC=-0.1981001, Accumulated Leap Seconds=35 + { 2456745.50, 67.383876 }, //29 March 2014, UT1-UTC=-0.1998763, Accumulated Leap Seconds=35 + { 2456746.50, 67.385679 }, //30 March 2014, UT1-UTC=-0.2016788, Accumulated Leap Seconds=35 + { 2456747.50, 67.387414 }, //31 March 2014, UT1-UTC=-0.2034139, Accumulated Leap Seconds=35 + { 2456748.50, 67.389003 }, //01 April 2014, UT1-UTC=-0.2050030, Accumulated Leap Seconds=35 + { 2456749.50, 67.390461 }, //02 April 2014, UT1-UTC=-0.2064612, Accumulated Leap Seconds=35 + { 2456750.50, 67.391827 }, //03 April 2014, UT1-UTC=-0.2078270, Accumulated Leap Seconds=35 + { 2456751.50, 67.393078 }, //04 April 2014, UT1-UTC=-0.2090778, Accumulated Leap Seconds=35 + { 2456752.50, 67.394267 }, //05 April 2014, UT1-UTC=-0.2102667, Accumulated Leap Seconds=35 + { 2456753.50, 67.395479 }, //06 April 2014, UT1-UTC=-0.2114790, Accumulated Leap Seconds=35 + { 2456754.50, 67.396679 }, //07 April 2014, UT1-UTC=-0.2126790, Accumulated Leap Seconds=35 + { 2456755.50, 67.397868 }, //08 April 2014, UT1-UTC=-0.2138681, Accumulated Leap Seconds=35 + { 2456756.50, 67.399068 }, //09 April 2014, UT1-UTC=-0.2150684, Accumulated Leap Seconds=35 + { 2456757.50, 67.400344 }, //10 April 2014, UT1-UTC=-0.2163440, Accumulated Leap Seconds=35 + { 2456758.50, 67.401669 }, //11 April 2014, UT1-UTC=-0.2176690, Accumulated Leap Seconds=35 + { 2456759.50, 67.403072 }, //12 April 2014, UT1-UTC=-0.2190724, Accumulated Leap Seconds=35 + { 2456760.50, 67.404490 }, //13 April 2014, UT1-UTC=-0.2204899, Accumulated Leap Seconds=35 + { 2456761.50, 67.405974 }, //14 April 2014, UT1-UTC=-0.2219743, Accumulated Leap Seconds=35 + { 2456762.50, 67.407426 }, //15 April 2014, UT1-UTC=-0.2234264, Accumulated Leap Seconds=35 + { 2456763.50, 67.408722 }, //16 April 2014, UT1-UTC=-0.2247221, Accumulated Leap Seconds=35 + { 2456764.50, 67.409929 }, //17 April 2014, UT1-UTC=-0.2259292, Accumulated Leap Seconds=35 + { 2456765.50, 67.411131 }, //18 April 2014, UT1-UTC=-0.2271312, Accumulated Leap Seconds=35 + { 2456766.50, 67.412324 }, //19 April 2014, UT1-UTC=-0.2283242, Accumulated Leap Seconds=35 + { 2456767.50, 67.413567 }, //20 April 2014, UT1-UTC=-0.2295665, Accumulated Leap Seconds=35 + { 2456768.50, 67.414867 }, //21 April 2014, UT1-UTC=-0.2308673, Accumulated Leap Seconds=35 + { 2456769.50, 67.416296 }, //22 April 2014, UT1-UTC=-0.2322960, Accumulated Leap Seconds=35 + { 2456770.50, 67.417898 }, //23 April 2014, UT1-UTC=-0.2338981, Accumulated Leap Seconds=35 + { 2456771.50, 67.419623 }, //24 April 2014, UT1-UTC=-0.2356233, Accumulated Leap Seconds=35 + { 2456772.50, 67.421478 }, //25 April 2014, UT1-UTC=-0.2374777, Accumulated Leap Seconds=35 + { 2456773.50, 67.423475 }, //26 April 2014, UT1-UTC=-0.2394754, Accumulated Leap Seconds=35 + { 2456774.50, 67.425458 }, //27 April 2014, UT1-UTC=-0.2414582, Accumulated Leap Seconds=35 + { 2456775.50, 67.427320 }, //28 April 2014, UT1-UTC=-0.2433201, Accumulated Leap Seconds=35 + { 2456776.50, 67.429039 }, //29 April 2014, UT1-UTC=-0.2450388, Accumulated Leap Seconds=35 + { 2456777.50, 67.430537 }, //30 April 2014, UT1-UTC=-0.2465370, Accumulated Leap Seconds=35 + { 2456778.50, 67.431843 }, //01 May 2014, UT1-UTC=-0.2478433, Accumulated Leap Seconds=35 + { 2456779.50, 67.433011 }, //02 May 2014, UT1-UTC=-0.2490107, Accumulated Leap Seconds=35 + { 2456780.50, 67.434133 }, //03 May 2014, UT1-UTC=-0.2501332, Accumulated Leap Seconds=35 + { 2456781.50, 67.435233 }, //04 May 2014, UT1-UTC=-0.2512326, Accumulated Leap Seconds=35 + { 2456782.50, 67.436357 }, //05 May 2014, UT1-UTC=-0.2523575, Accumulated Leap Seconds=35 + { 2456783.50, 67.437537 }, //06 May 2014, UT1-UTC=-0.2535367, Accumulated Leap Seconds=35 + { 2456784.50, 67.438785 }, //07 May 2014, UT1-UTC=-0.2547854, Accumulated Leap Seconds=35 + { 2456785.50, 67.440106 }, //08 May 2014, UT1-UTC=-0.2561064, Accumulated Leap Seconds=35 + { 2456786.50, 67.441521 }, //09 May 2014, UT1-UTC=-0.2575214, Accumulated Leap Seconds=35 + { 2456787.50, 67.442953 }, //10 May 2014, UT1-UTC=-0.2589526, Accumulated Leap Seconds=35 + { 2456788.50, 67.444405 }, //11 May 2014, UT1-UTC=-0.2604045, Accumulated Leap Seconds=35 + { 2456789.50, 67.445797 }, //12 May 2014, UT1-UTC=-0.2617971, Accumulated Leap Seconds=35 + { 2456790.50, 67.447121 }, //13 May 2014, UT1-UTC=-0.2631211, Accumulated Leap Seconds=35 + { 2456791.50, 67.448295 }, //14 May 2014, UT1-UTC=-0.2642948, Accumulated Leap Seconds=35 + { 2456792.50, 67.449405 }, //15 May 2014, UT1-UTC=-0.2654046, Accumulated Leap Seconds=35 + { 2456793.50, 67.450433 }, //16 May 2014, UT1-UTC=-0.2664327, Accumulated Leap Seconds=35 + { 2456794.50, 67.451429 }, //17 May 2014, UT1-UTC=-0.2674294, Accumulated Leap Seconds=35 + { 2456795.50, 67.452474 }, //18 May 2014, UT1-UTC=-0.2684738, Accumulated Leap Seconds=35 + { 2456796.50, 67.453612 }, //19 May 2014, UT1-UTC=-0.2696121, Accumulated Leap Seconds=35 + { 2456797.50, 67.454892 }, //20 May 2014, UT1-UTC=-0.2708920, Accumulated Leap Seconds=35 + { 2456798.50, 67.456293 }, //21 May 2014, UT1-UTC=-0.2722925, Accumulated Leap Seconds=35 + { 2456799.50, 67.457770 }, //22 May 2014, UT1-UTC=-0.2737699, Accumulated Leap Seconds=35 + { 2456800.50, 67.459218 }, //23 May 2014, UT1-UTC=-0.2752180, Accumulated Leap Seconds=35 + { 2456801.50, 67.460642 }, //24 May 2014, UT1-UTC=-0.2766420, Accumulated Leap Seconds=35 + { 2456802.50, 67.461920 }, //25 May 2014, UT1-UTC=-0.2779204, Accumulated Leap Seconds=35 + { 2456803.50, 67.463023 }, //26 May 2014, UT1-UTC=-0.2790232, Accumulated Leap Seconds=35 + { 2456804.50, 67.463955 }, //27 May 2014, UT1-UTC=-0.2799550, Accumulated Leap Seconds=35 + { 2456805.50, 67.464711 }, //28 May 2014, UT1-UTC=-0.2807109, Accumulated Leap Seconds=35 + { 2456806.50, 67.465341 }, //29 May 2014, UT1-UTC=-0.2813415, Accumulated Leap Seconds=35 + { 2456807.50, 67.465827 }, //30 May 2014, UT1-UTC=-0.2818273, Accumulated Leap Seconds=35 + { 2456808.50, 67.466232 }, //31 May 2014, UT1-UTC=-0.2822320, Accumulated Leap Seconds=35 + { 2456809.50, 67.466621 }, //01 June 2014, UT1-UTC=-0.2826209, Accumulated Leap Seconds=35 + { 2456810.50, 67.467039 }, //02 June 2014, UT1-UTC=-0.2830388, Accumulated Leap Seconds=35 + { 2456811.50, 67.467486 }, //03 June 2014, UT1-UTC=-0.2834856, Accumulated Leap Seconds=35 + { 2456812.50, 67.467976 }, //04 June 2014, UT1-UTC=-0.2839761, Accumulated Leap Seconds=35 + { 2456813.50, 67.468584 }, //05 June 2014, UT1-UTC=-0.2845840, Accumulated Leap Seconds=35 + { 2456814.50, 67.469218 }, //06 June 2014, UT1-UTC=-0.2852180, Accumulated Leap Seconds=35 + { 2456815.50, 67.469951 }, //07 June 2014, UT1-UTC=-0.2859513, Accumulated Leap Seconds=35 + { 2456816.50, 67.470692 }, //08 June 2014, UT1-UTC=-0.2866921, Accumulated Leap Seconds=35 + { 2456817.50, 67.471393 }, //09 June 2014, UT1-UTC=-0.2873932, Accumulated Leap Seconds=35 + { 2456818.50, 67.472067 }, //10 June 2014, UT1-UTC=-0.2880675, Accumulated Leap Seconds=35 + { 2456819.50, 67.472762 }, //11 June 2014, UT1-UTC=-0.2887623, Accumulated Leap Seconds=35 + { 2456820.50, 67.473396 }, //12 June 2014, UT1-UTC=-0.2893958, Accumulated Leap Seconds=35 + { 2456821.50, 67.474041 }, //13 June 2014, UT1-UTC=-0.2900413, Accumulated Leap Seconds=35 + { 2456822.50, 67.474694 }, //14 June 2014, UT1-UTC=-0.2906944, Accumulated Leap Seconds=35 + { 2456823.50, 67.475433 }, //15 June 2014, UT1-UTC=-0.2914330, Accumulated Leap Seconds=35 + { 2456824.50, 67.476261 }, //16 June 2014, UT1-UTC=-0.2922606, Accumulated Leap Seconds=35 + { 2456825.50, 67.477230 }, //17 June 2014, UT1-UTC=-0.2932302, Accumulated Leap Seconds=35 + { 2456826.50, 67.478370 }, //18 June 2014, UT1-UTC=-0.2943704, Accumulated Leap Seconds=35 + { 2456827.50, 67.479504 }, //19 June 2014, UT1-UTC=-0.2955044, Accumulated Leap Seconds=35 + { 2456828.50, 67.480679 }, //20 June 2014, UT1-UTC=-0.2966786, Accumulated Leap Seconds=35 + { 2456829.50, 67.481746 }, //21 June 2014, UT1-UTC=-0.2977463, Accumulated Leap Seconds=35 + { 2456830.50, 67.482677 }, //22 June 2014, UT1-UTC=-0.2986769, Accumulated Leap Seconds=35 + { 2456831.50, 67.483400 }, //23 June 2014, UT1-UTC=-0.2994001, Accumulated Leap Seconds=35 + { 2456832.50, 67.483990 }, //24 June 2014, UT1-UTC=-0.2999901, Accumulated Leap Seconds=35 + { 2456833.50, 67.484390 }, //25 June 2014, UT1-UTC=-0.3003898, Accumulated Leap Seconds=35 + { 2456834.50, 67.484713 }, //26 June 2014, UT1-UTC=-0.3007127, Accumulated Leap Seconds=35 + { 2456835.50, 67.484870 }, //27 June 2014, UT1-UTC=-0.3008696, Accumulated Leap Seconds=35 + { 2456836.50, 67.485012 }, //28 June 2014, UT1-UTC=-0.3010117, Accumulated Leap Seconds=35 + { 2456837.50, 67.485232 }, //29 June 2014, UT1-UTC=-0.3012320, Accumulated Leap Seconds=35 + { 2456838.50, 67.485519 }, //30 June 2014, UT1-UTC=-0.3015187, Accumulated Leap Seconds=35 + { 2456839.50, 67.485846 }, //01 July 2014, UT1-UTC=-0.3018459, Accumulated Leap Seconds=35 + { 2456840.50, 67.486218 }, //02 July 2014, UT1-UTC=-0.3022180, Accumulated Leap Seconds=35 + { 2456841.50, 67.486686 }, //03 July 2014, UT1-UTC=-0.3026865, Accumulated Leap Seconds=35 + { 2456842.50, 67.487236 }, //04 July 2014, UT1-UTC=-0.3032358, Accumulated Leap Seconds=35 + { 2456843.50, 67.487772 }, //05 July 2014, UT1-UTC=-0.3037720, Accumulated Leap Seconds=35 + { 2456844.50, 67.488274 }, //06 July 2014, UT1-UTC=-0.3042743, Accumulated Leap Seconds=35 + { 2456845.50, 67.488703 }, //07 July 2014, UT1-UTC=-0.3047034, Accumulated Leap Seconds=35 + { 2456846.50, 67.489050 }, //08 July 2014, UT1-UTC=-0.3050498, Accumulated Leap Seconds=35 + { 2456847.50, 67.489353 }, //09 July 2014, UT1-UTC=-0.3053529, Accumulated Leap Seconds=35 + { 2456848.50, 67.489617 }, //10 July 2014, UT1-UTC=-0.3056174, Accumulated Leap Seconds=35 + { 2456849.50, 67.489971 }, //11 July 2014, UT1-UTC=-0.3059711, Accumulated Leap Seconds=35 + { 2456850.50, 67.490370 }, //12 July 2014, UT1-UTC=-0.3063702, Accumulated Leap Seconds=35 + { 2456851.50, 67.490912 }, //13 July 2014, UT1-UTC=-0.3069123, Accumulated Leap Seconds=35 + { 2456852.50, 67.491626 }, //14 July 2014, UT1-UTC=-0.3076262, Accumulated Leap Seconds=35 + { 2456853.50, 67.492508 }, //15 July 2014, UT1-UTC=-0.3085082, Accumulated Leap Seconds=35 + { 2456854.50, 67.493416 }, //16 July 2014, UT1-UTC=-0.3094163, Accumulated Leap Seconds=35 + { 2456855.50, 67.494345 }, //17 July 2014, UT1-UTC=-0.3103450, Accumulated Leap Seconds=35 + { 2456856.50, 67.495170 }, //18 July 2014, UT1-UTC=-0.3111697, Accumulated Leap Seconds=35 + { 2456857.50, 67.495876 }, //19 July 2014, UT1-UTC=-0.3118756, Accumulated Leap Seconds=35 + { 2456858.50, 67.496422 }, //20 July 2014, UT1-UTC=-0.3124224, Accumulated Leap Seconds=35 + { 2456859.50, 67.496771 }, //21 July 2014, UT1-UTC=-0.3127713, Accumulated Leap Seconds=35 + { 2456860.50, 67.496985 }, //22 July 2014, UT1-UTC=-0.3129852, Accumulated Leap Seconds=35 + { 2456861.50, 67.497090 }, //23 July 2014, UT1-UTC=-0.3130897, Accumulated Leap Seconds=35 + { 2456862.50, 67.497107 }, //24 July 2014, UT1-UTC=-0.3131074, Accumulated Leap Seconds=35 + { 2456863.50, 67.497146 }, //25 July 2014, UT1-UTC=-0.3131465, Accumulated Leap Seconds=35 + { 2456864.50, 67.497177 }, //26 July 2014, UT1-UTC=-0.3131767, Accumulated Leap Seconds=35 + { 2456865.50, 67.497268 }, //27 July 2014, UT1-UTC=-0.3132680, Accumulated Leap Seconds=35 + { 2456866.50, 67.497426 }, //28 July 2014, UT1-UTC=-0.3134264, Accumulated Leap Seconds=35 + { 2456867.50, 67.497654 }, //29 July 2014, UT1-UTC=-0.3136543, Accumulated Leap Seconds=35 + { 2456868.50, 67.498028 }, //30 July 2014, UT1-UTC=-0.3140280, Accumulated Leap Seconds=35 + { 2456869.50, 67.498460 }, //31 July 2014, UT1-UTC=-0.3144596, Accumulated Leap Seconds=35 + { 2456870.50, 67.498915 }, //01 August 2014, UT1-UTC=-0.3149147, Accumulated Leap Seconds=35 + { 2456871.50, 67.499317 }, //02 August 2014, UT1-UTC=-0.3153168, Accumulated Leap Seconds=35 + { 2456872.50, 67.499648 }, //03 August 2014, UT1-UTC=-0.3156480, Accumulated Leap Seconds=35 + { 2456873.50, 67.499924 }, //04 August 2014, UT1-UTC=-0.3159244, Accumulated Leap Seconds=35 + { 2456874.50, 67.500111 }, //05 August 2014, UT1-UTC=-0.3161113, Accumulated Leap Seconds=35 + { 2456875.50, 67.500239 }, //06 August 2014, UT1-UTC=-0.3162391, Accumulated Leap Seconds=35 + { 2456876.50, 67.500321 }, //07 August 2014, UT1-UTC=-0.3163210, Accumulated Leap Seconds=35 + { 2456877.50, 67.500406 }, //08 August 2014, UT1-UTC=-0.3164063, Accumulated Leap Seconds=35 + { 2456878.50, 67.500658 }, //09 August 2014, UT1-UTC=-0.3166580, Accumulated Leap Seconds=35 + { 2456879.50, 67.501055 }, //10 August 2014, UT1-UTC=-0.3170554, Accumulated Leap Seconds=35 + { 2456880.50, 67.501657 }, //11 August 2014, UT1-UTC=-0.3176567, Accumulated Leap Seconds=35 + { 2456881.50, 67.502368 }, //12 August 2014, UT1-UTC=-0.3183680, Accumulated Leap Seconds=35 + { 2456882.50, 67.503187 }, //13 August 2014, UT1-UTC=-0.3191870, Accumulated Leap Seconds=35 + { 2456883.50, 67.504041 }, //14 August 2014, UT1-UTC=-0.3200406, Accumulated Leap Seconds=35 + { 2456884.50, 67.504799 }, //15 August 2014, UT1-UTC=-0.3207990, Accumulated Leap Seconds=35 + { 2456885.50, 67.505429 }, //16 August 2014, UT1-UTC=-0.3214286, Accumulated Leap Seconds=35 + { 2456886.50, 67.505928 }, //17 August 2014, UT1-UTC=-0.3219281, Accumulated Leap Seconds=35 + { 2456887.50, 67.506346 }, //18 August 2014, UT1-UTC=-0.3223465, Accumulated Leap Seconds=35 + { 2456888.50, 67.506664 }, //19 August 2014, UT1-UTC=-0.3226636, Accumulated Leap Seconds=35 + { 2456889.50, 67.506854 }, //20 August 2014, UT1-UTC=-0.3228541, Accumulated Leap Seconds=35 + { 2456890.50, 67.507049 }, //21 August 2014, UT1-UTC=-0.3230495, Accumulated Leap Seconds=35 + { 2456891.50, 67.507215 }, //22 August 2014, UT1-UTC=-0.3232151, Accumulated Leap Seconds=35 + { 2456892.50, 67.507438 }, //23 August 2014, UT1-UTC=-0.3234376, Accumulated Leap Seconds=35 + { 2456893.50, 67.507669 }, //24 August 2014, UT1-UTC=-0.3236686, Accumulated Leap Seconds=35 + { 2456894.50, 67.507899 }, //25 August 2014, UT1-UTC=-0.3238992, Accumulated Leap Seconds=35 + { 2456895.50, 67.508194 }, //26 August 2014, UT1-UTC=-0.3241938, Accumulated Leap Seconds=35 + { 2456896.50, 67.508590 }, //27 August 2014, UT1-UTC=-0.3245904, Accumulated Leap Seconds=35 + { 2456897.50, 67.509072 }, //28 August 2014, UT1-UTC=-0.3250723, Accumulated Leap Seconds=35 + { 2456898.50, 67.509570 }, //29 August 2014, UT1-UTC=-0.3255697, Accumulated Leap Seconds=35 + { 2456899.50, 67.510057 }, //30 August 2014, UT1-UTC=-0.3260573, Accumulated Leap Seconds=35 + { 2456900.50, 67.510587 }, //31 August 2014, UT1-UTC=-0.3265866, Accumulated Leap Seconds=35 + { 2456901.50, 67.511094 }, //01 September 2014, UT1-UTC=-0.3270936, Accumulated Leap Seconds=35 + { 2456902.50, 67.511619 }, //02 September 2014, UT1-UTC=-0.3276187, Accumulated Leap Seconds=35 + { 2456903.50, 67.512138 }, //03 September 2014, UT1-UTC=-0.3281385, Accumulated Leap Seconds=35 + { 2456904.50, 67.512692 }, //04 September 2014, UT1-UTC=-0.3286925, Accumulated Leap Seconds=35 + { 2456905.50, 67.513271 }, //05 September 2014, UT1-UTC=-0.3292707, Accumulated Leap Seconds=35 + { 2456906.50, 67.514045 }, //06 September 2014, UT1-UTC=-0.3300446, Accumulated Leap Seconds=35 + { 2456907.50, 67.514979 }, //07 September 2014, UT1-UTC=-0.3309788, Accumulated Leap Seconds=35 + { 2456908.50, 67.516107 }, //08 September 2014, UT1-UTC=-0.3321068, Accumulated Leap Seconds=35 + { 2456909.50, 67.517386 }, //09 September 2014, UT1-UTC=-0.3333858, Accumulated Leap Seconds=35 + { 2456910.50, 67.518691 }, //10 September 2014, UT1-UTC=-0.3346911, Accumulated Leap Seconds=35 + { 2456911.50, 67.519894 }, //11 September 2014, UT1-UTC=-0.3358939, Accumulated Leap Seconds=35 + { 2456912.50, 67.520934 }, //12 September 2014, UT1-UTC=-0.3369338, Accumulated Leap Seconds=35 + { 2456913.50, 67.521770 }, //13 September 2014, UT1-UTC=-0.3377698, Accumulated Leap Seconds=35 + { 2456914.50, 67.522477 }, //14 September 2014, UT1-UTC=-0.3384770, Accumulated Leap Seconds=35 + { 2456915.50, 67.523096 }, //15 September 2014, UT1-UTC=-0.3390958, Accumulated Leap Seconds=35 + { 2456916.50, 67.523670 }, //16 September 2014, UT1-UTC=-0.3396704, Accumulated Leap Seconds=35 + { 2456917.50, 67.524259 }, //17 September 2014, UT1-UTC=-0.3402588, Accumulated Leap Seconds=35 + { 2456918.50, 67.524930 }, //18 September 2014, UT1-UTC=-0.3409302, Accumulated Leap Seconds=35 + { 2456919.50, 67.525610 }, //19 September 2014, UT1-UTC=-0.3416097, Accumulated Leap Seconds=35 + { 2456920.50, 67.526311 }, //20 September 2014, UT1-UTC=-0.3423108, Accumulated Leap Seconds=35 + { 2456921.50, 67.527060 }, //21 September 2014, UT1-UTC=-0.3430601, Accumulated Leap Seconds=35 + { 2456922.50, 67.527905 }, //22 September 2014, UT1-UTC=-0.3439051, Accumulated Leap Seconds=35 + { 2456923.50, 67.528834 }, //23 September 2014, UT1-UTC=-0.3448340, Accumulated Leap Seconds=35 + { 2456924.50, 67.529702 }, //24 September 2014, UT1-UTC=-0.3457021, Accumulated Leap Seconds=35 + { 2456925.50, 67.530665 }, //25 September 2014, UT1-UTC=-0.3466653, Accumulated Leap Seconds=35 + { 2456926.50, 67.531574 }, //26 September 2014, UT1-UTC=-0.3475740, Accumulated Leap Seconds=35 + { 2456927.50, 67.532366 }, //27 September 2014, UT1-UTC=-0.3483662, Accumulated Leap Seconds=35 + { 2456928.50, 67.533132 }, //28 September 2014, UT1-UTC=-0.3491320, Accumulated Leap Seconds=35 + { 2456929.50, 67.533840 }, //29 September 2014, UT1-UTC=-0.3498404, Accumulated Leap Seconds=35 + { 2456930.50, 67.534560 }, //30 September 2014, UT1-UTC=-0.3505599, Accumulated Leap Seconds=35 + { 2456931.50, 67.535266 }, //01 October 2014, UT1-UTC=-0.3512658, Accumulated Leap Seconds=35 + { 2456932.50, 67.536054 }, //02 October 2014, UT1-UTC=-0.3520544, Accumulated Leap Seconds=35 + { 2456933.50, 67.536914 }, //03 October 2014, UT1-UTC=-0.3529137, Accumulated Leap Seconds=35 + { 2456934.50, 67.538004 }, //04 October 2014, UT1-UTC=-0.3540035, Accumulated Leap Seconds=35 + { 2456935.50, 67.539299 }, //05 October 2014, UT1-UTC=-0.3552989, Accumulated Leap Seconds=35 + { 2456936.50, 67.540741 }, //06 October 2014, UT1-UTC=-0.3567413, Accumulated Leap Seconds=35 + { 2456937.50, 67.542296 }, //07 October 2014, UT1-UTC=-0.3582963, Accumulated Leap Seconds=35 + { 2456938.50, 67.543948 }, //08 October 2014, UT1-UTC=-0.3599479, Accumulated Leap Seconds=35 + { 2456939.50, 67.545468 }, //09 October 2014, UT1-UTC=-0.3614677, Accumulated Leap Seconds=35 + { 2456940.50, 67.546825 }, //10 October 2014, UT1-UTC=-0.3628252, Accumulated Leap Seconds=35 + { 2456941.50, 67.548000 }, //11 October 2014, UT1-UTC=-0.3640000, Accumulated Leap Seconds=35 + { 2456942.50, 67.549093 }, //12 October 2014, UT1-UTC=-0.3650925, Accumulated Leap Seconds=35 + { 2456943.50, 67.550112 }, //13 October 2014, UT1-UTC=-0.3661121, Accumulated Leap Seconds=35 + { 2456944.50, 67.551029 }, //14 October 2014, UT1-UTC=-0.3670286, Accumulated Leap Seconds=35 + { 2456945.50, 67.551912 }, //15 October 2014, UT1-UTC=-0.3679116, Accumulated Leap Seconds=35 + { 2456946.50, 67.552825 }, //16 October 2014, UT1-UTC=-0.3688248, Accumulated Leap Seconds=35 + { 2456947.50, 67.553788 }, //17 October 2014, UT1-UTC=-0.3697884, Accumulated Leap Seconds=35 + { 2456948.50, 67.554758 }, //18 October 2014, UT1-UTC=-0.3707585, Accumulated Leap Seconds=35 + { 2456949.50, 67.555860 }, //19 October 2014, UT1-UTC=-0.3718601, Accumulated Leap Seconds=35 + { 2456950.50, 67.557023 }, //20 October 2014, UT1-UTC=-0.3730225, Accumulated Leap Seconds=35 + { 2456951.50, 67.558284 }, //21 October 2014, UT1-UTC=-0.3742835, Accumulated Leap Seconds=35 + { 2456952.50, 67.559622 }, //22 October 2014, UT1-UTC=-0.3756224, Accumulated Leap Seconds=35 + { 2456953.50, 67.561027 }, //23 October 2014, UT1-UTC=-0.3770269, Accumulated Leap Seconds=35 + { 2456954.50, 67.562297 }, //24 October 2014, UT1-UTC=-0.3782970, Accumulated Leap Seconds=35 + { 2456955.50, 67.563481 }, //25 October 2014, UT1-UTC=-0.3794815, Accumulated Leap Seconds=35 + { 2456956.50, 67.564589 }, //26 October 2014, UT1-UTC=-0.3805888, Accumulated Leap Seconds=35 + { 2456957.50, 67.565604 }, //27 October 2014, UT1-UTC=-0.3816040, Accumulated Leap Seconds=35 + { 2456958.50, 67.566589 }, //28 October 2014, UT1-UTC=-0.3825892, Accumulated Leap Seconds=35 + { 2456959.50, 67.567593 }, //29 October 2014, UT1-UTC=-0.3835930, Accumulated Leap Seconds=35 + { 2456960.50, 67.568672 }, //30 October 2014, UT1-UTC=-0.3846721, Accumulated Leap Seconds=35 + { 2456961.50, 67.569820 }, //31 October 2014, UT1-UTC=-0.3858203, Accumulated Leap Seconds=35 + { 2456962.50, 67.571103 }, //01 November 2014, UT1-UTC=-0.3871030, Accumulated Leap Seconds=35 + { 2456963.50, 67.572635 }, //02 November 2014, UT1-UTC=-0.3886351, Accumulated Leap Seconds=35 + { 2456964.50, 67.574328 }, //03 November 2014, UT1-UTC=-0.3903277, Accumulated Leap Seconds=35 + { 2456965.50, 67.576018 }, //04 November 2014, UT1-UTC=-0.3920178, Accumulated Leap Seconds=35 + { 2456966.50, 67.577656 }, //05 November 2014, UT1-UTC=-0.3936560, Accumulated Leap Seconds=35 + { 2456967.50, 67.579175 }, //06 November 2014, UT1-UTC=-0.3951751, Accumulated Leap Seconds=35 + { 2456968.50, 67.580518 }, //07 November 2014, UT1-UTC=-0.3965180, Accumulated Leap Seconds=35 + { 2456969.50, 67.581751 }, //08 November 2014, UT1-UTC=-0.3977507, Accumulated Leap Seconds=35 + { 2456970.50, 67.582760 }, //09 November 2014, UT1-UTC=-0.3987604, Accumulated Leap Seconds=35 + { 2456971.50, 67.583661 }, //10 November 2014, UT1-UTC=-0.3996613, Accumulated Leap Seconds=35 + { 2456972.50, 67.584526 }, //11 November 2014, UT1-UTC=-0.4005263, Accumulated Leap Seconds=35 + { 2456973.50, 67.585359 }, //12 November 2014, UT1-UTC=-0.4013595, Accumulated Leap Seconds=35 + { 2456974.50, 67.586274 }, //13 November 2014, UT1-UTC=-0.4022739, Accumulated Leap Seconds=35 + { 2456975.50, 67.587227 }, //14 November 2014, UT1-UTC=-0.4032271, Accumulated Leap Seconds=35 + { 2456976.50, 67.588234 }, //15 November 2014, UT1-UTC=-0.4042344, Accumulated Leap Seconds=35 + { 2456977.50, 67.589284 }, //16 November 2014, UT1-UTC=-0.4052845, Accumulated Leap Seconds=35 + { 2456978.50, 67.590443 }, //17 November 2014, UT1-UTC=-0.4064431, Accumulated Leap Seconds=35 + { 2456979.50, 67.591688 }, //18 November 2014, UT1-UTC=-0.4076876, Accumulated Leap Seconds=35 + { 2456980.50, 67.592951 }, //19 November 2014, UT1-UTC=-0.4089511, Accumulated Leap Seconds=35 + { 2456981.50, 67.594198 }, //20 November 2014, UT1-UTC=-0.4101976, Accumulated Leap Seconds=35 + { 2456982.50, 67.595347 }, //21 November 2014, UT1-UTC=-0.4113468, Accumulated Leap Seconds=35 + { 2456983.50, 67.596448 }, //22 November 2014, UT1-UTC=-0.4124480, Accumulated Leap Seconds=35 + { 2456984.50, 67.597509 }, //23 November 2014, UT1-UTC=-0.4135088, Accumulated Leap Seconds=35 + { 2456985.50, 67.598526 }, //24 November 2014, UT1-UTC=-0.4145265, Accumulated Leap Seconds=35 + { 2456986.50, 67.599529 }, //25 November 2014, UT1-UTC=-0.4155291, Accumulated Leap Seconds=35 + { 2456987.50, 67.600517 }, //26 November 2014, UT1-UTC=-0.4165166, Accumulated Leap Seconds=35 + { 2456988.50, 67.601551 }, //27 November 2014, UT1-UTC=-0.4175513, Accumulated Leap Seconds=35 + { 2456989.50, 67.602716 }, //28 November 2014, UT1-UTC=-0.4187161, Accumulated Leap Seconds=35 + { 2456990.50, 67.604060 }, //29 November 2014, UT1-UTC=-0.4200603, Accumulated Leap Seconds=35 + { 2456991.50, 67.605512 }, //30 November 2014, UT1-UTC=-0.4215121, Accumulated Leap Seconds=35 + { 2456992.50, 67.607025 }, //01 December 2014, UT1-UTC=-0.4230253, Accumulated Leap Seconds=35 + { 2456993.50, 67.608487 }, //02 December 2014, UT1-UTC=-0.4244870, Accumulated Leap Seconds=35 + { 2456994.50, 67.609879 }, //03 December 2014, UT1-UTC=-0.4258790, Accumulated Leap Seconds=35 + { 2456995.50, 67.611213 }, //04 December 2014, UT1-UTC=-0.4272133, Accumulated Leap Seconds=35 + { 2456996.50, 67.612434 }, //05 December 2014, UT1-UTC=-0.4284339, Accumulated Leap Seconds=35 + { 2456997.50, 67.613539 }, //06 December 2014, UT1-UTC=-0.4295389, Accumulated Leap Seconds=35 + { 2456998.50, 67.614507 }, //07 December 2014, UT1-UTC=-0.4305074, Accumulated Leap Seconds=35 + { 2456999.50, 67.615454 }, //08 December 2014, UT1-UTC=-0.4314540, Accumulated Leap Seconds=35 + { 2457000.50, 67.616441 }, //09 December 2014, UT1-UTC=-0.4324409, Accumulated Leap Seconds=35 + { 2457001.50, 67.617477 }, //10 December 2014, UT1-UTC=-0.4334773, Accumulated Leap Seconds=35 + { 2457002.50, 67.618536 }, //11 December 2014, UT1-UTC=-0.4345364, Accumulated Leap Seconds=35 + { 2457003.50, 67.619705 }, //12 December 2014, UT1-UTC=-0.4357052, Accumulated Leap Seconds=35 + { 2457004.50, 67.620938 }, //13 December 2014, UT1-UTC=-0.4369381, Accumulated Leap Seconds=35 + { 2457005.50, 67.622162 }, //14 December 2014, UT1-UTC=-0.4381615, Accumulated Leap Seconds=35 + { 2457006.50, 67.623386 }, //15 December 2014, UT1-UTC=-0.4393863, Accumulated Leap Seconds=35 + { 2457007.50, 67.624656 }, //16 December 2014, UT1-UTC=-0.4406563, Accumulated Leap Seconds=35 + { 2457008.50, 67.625969 }, //17 December 2014, UT1-UTC=-0.4419688, Accumulated Leap Seconds=35 + { 2457009.50, 67.627209 }, //18 December 2014, UT1-UTC=-0.4432094, Accumulated Leap Seconds=35 + { 2457010.50, 67.628393 }, //19 December 2014, UT1-UTC=-0.4443930, Accumulated Leap Seconds=35 + { 2457011.50, 67.629474 }, //20 December 2014, UT1-UTC=-0.4454738, Accumulated Leap Seconds=35 + { 2457012.50, 67.630456 }, //21 December 2014, UT1-UTC=-0.4464559, Accumulated Leap Seconds=35 + { 2457013.50, 67.631371 }, //22 December 2014, UT1-UTC=-0.4473714, Accumulated Leap Seconds=35 + { 2457014.50, 67.632345 }, //23 December 2014, UT1-UTC=-0.4483446, Accumulated Leap Seconds=35 + { 2457015.50, 67.633404 }, //24 December 2014, UT1-UTC=-0.4494041, Accumulated Leap Seconds=35 + { 2457016.50, 67.634579 }, //25 December 2014, UT1-UTC=-0.4505794, Accumulated Leap Seconds=35 + { 2457017.50, 67.635943 }, //26 December 2014, UT1-UTC=-0.4519435, Accumulated Leap Seconds=35 + { 2457018.50, 67.637371 }, //27 December 2014, UT1-UTC=-0.4533706, Accumulated Leap Seconds=35 + { 2457019.50, 67.638883 }, //28 December 2014, UT1-UTC=-0.4548828, Accumulated Leap Seconds=35 + { 2457020.50, 67.640386 }, //29 December 2014, UT1-UTC=-0.4563856, Accumulated Leap Seconds=35 + { 2457021.50, 67.641717 }, //30 December 2014, UT1-UTC=-0.4577165, Accumulated Leap Seconds=35 + { 2457022.50, 67.642892 }, //31 December 2014, UT1-UTC=-0.4588917, Accumulated Leap Seconds=35 + { 2457023.50, 67.643917 }, //01 January 2015, UT1-UTC=-0.4599167, Accumulated Leap Seconds=35 + { 2457024.50, 67.644830 }, //02 January 2015, UT1-UTC=-0.4608302, Accumulated Leap Seconds=35 + { 2457025.50, 67.645654 }, //03 January 2015, UT1-UTC=-0.4616545, Accumulated Leap Seconds=35 + { 2457026.50, 67.646376 }, //04 January 2015, UT1-UTC=-0.4623764, Accumulated Leap Seconds=35 + { 2457027.50, 67.646997 }, //05 January 2015, UT1-UTC=-0.4629975, Accumulated Leap Seconds=35 + { 2457028.50, 67.647658 }, //06 January 2015, UT1-UTC=-0.4636584, Accumulated Leap Seconds=35 + { 2457029.50, 67.648314 }, //07 January 2015, UT1-UTC=-0.4643139, Accumulated Leap Seconds=35 + { 2457030.50, 67.649089 }, //08 January 2015, UT1-UTC=-0.4650890, Accumulated Leap Seconds=35 + { 2457031.50, 67.650012 }, //09 January 2015, UT1-UTC=-0.4660117, Accumulated Leap Seconds=35 + { 2457032.50, 67.651061 }, //10 January 2015, UT1-UTC=-0.4670609, Accumulated Leap Seconds=35 + { 2457033.50, 67.652187 }, //11 January 2015, UT1-UTC=-0.4681869, Accumulated Leap Seconds=35 + { 2457034.50, 67.653291 }, //12 January 2015, UT1-UTC=-0.4692912, Accumulated Leap Seconds=35 + { 2457035.50, 67.654390 }, //13 January 2015, UT1-UTC=-0.4703905, Accumulated Leap Seconds=35 + { 2457036.50, 67.655531 }, //14 January 2015, UT1-UTC=-0.4715311, Accumulated Leap Seconds=35 + { 2457037.50, 67.656678 }, //15 January 2015, UT1-UTC=-0.4726777, Accumulated Leap Seconds=35 + { 2457038.50, 67.657783 }, //16 January 2015, UT1-UTC=-0.4737830, Accumulated Leap Seconds=35 + { 2457039.50, 67.658894 }, //17 January 2015, UT1-UTC=-0.4748937, Accumulated Leap Seconds=35 + { 2457040.50, 67.659944 }, //18 January 2015, UT1-UTC=-0.4759444, Accumulated Leap Seconds=35 + { 2457041.50, 67.661020 }, //19 January 2015, UT1-UTC=-0.4770205, Accumulated Leap Seconds=35 + { 2457042.50, 67.662158 }, //20 January 2015, UT1-UTC=-0.4781581, Accumulated Leap Seconds=35 + { 2457043.50, 67.663385 }, //21 January 2015, UT1-UTC=-0.4793853, Accumulated Leap Seconds=35 + { 2457044.50, 67.664814 }, //22 January 2015, UT1-UTC=-0.4808142, Accumulated Leap Seconds=35 + { 2457045.50, 67.666341 }, //23 January 2015, UT1-UTC=-0.4823410, Accumulated Leap Seconds=35 + { 2457046.50, 67.667859 }, //24 January 2015, UT1-UTC=-0.4838588, Accumulated Leap Seconds=35 + { 2457047.50, 67.669455 }, //25 January 2015, UT1-UTC=-0.4854546, Accumulated Leap Seconds=35 + { 2457048.50, 67.670784 }, //26 January 2015, UT1-UTC=-0.4867840, Accumulated Leap Seconds=35 + { 2457049.50, 67.672007 }, //27 January 2015, UT1-UTC=-0.4880067, Accumulated Leap Seconds=35 + { 2457050.50, 67.673063 }, //28 January 2015, UT1-UTC=-0.4890626, Accumulated Leap Seconds=35 + { 2457051.50, 67.673980 }, //29 January 2015, UT1-UTC=-0.4899801, Accumulated Leap Seconds=35 + { 2457052.50, 67.674823 }, //30 January 2015, UT1-UTC=-0.4908230, Accumulated Leap Seconds=35 + { 2457053.50, 67.675658 }, //31 January 2015, UT1-UTC=-0.4916583, Accumulated Leap Seconds=35 + { 2457054.50, 67.676527 }, //01 February 2015, UT1-UTC=-0.4925272, Accumulated Leap Seconds=35 + { 2457055.50, 67.677426 }, //02 February 2015, UT1-UTC=-0.4934260, Accumulated Leap Seconds=35 + { 2457056.50, 67.678431 }, //03 February 2015, UT1-UTC=-0.4944307, Accumulated Leap Seconds=35 + { 2457057.50, 67.679514 }, //04 February 2015, UT1-UTC=-0.4955137, Accumulated Leap Seconds=35 + { 2457058.50, 67.680649 }, //05 February 2015, UT1-UTC=-0.4966490, Accumulated Leap Seconds=35 + { 2457059.50, 67.681863 }, //06 February 2015, UT1-UTC=-0.4978631, Accumulated Leap Seconds=35 + { 2457060.50, 67.683144 }, //07 February 2015, UT1-UTC=-0.4991436, Accumulated Leap Seconds=35 + { 2457061.50, 67.684517 }, //08 February 2015, UT1-UTC=-0.5005175, Accumulated Leap Seconds=35 + { 2457062.50, 67.685881 }, //09 February 2015, UT1-UTC=-0.5018809, Accumulated Leap Seconds=35 + { 2457063.50, 67.687163 }, //10 February 2015, UT1-UTC=-0.5031630, Accumulated Leap Seconds=35 + { 2457064.50, 67.688359 }, //11 February 2015, UT1-UTC=-0.5043586, Accumulated Leap Seconds=35 + { 2457065.50, 67.689528 }, //12 February 2015, UT1-UTC=-0.5055278, Accumulated Leap Seconds=35 + { 2457066.50, 67.690702 }, //13 February 2015, UT1-UTC=-0.5067017, Accumulated Leap Seconds=35 + { 2457067.50, 67.691896 }, //14 February 2015, UT1-UTC=-0.5078957, Accumulated Leap Seconds=35 + { 2457068.50, 67.693055 }, //15 February 2015, UT1-UTC=-0.5090549, Accumulated Leap Seconds=35 + { 2457069.50, 67.694276 }, //16 February 2015, UT1-UTC=-0.5102758, Accumulated Leap Seconds=35 + { 2457070.50, 67.695588 }, //17 February 2015, UT1-UTC=-0.5115883, Accumulated Leap Seconds=35 + { 2457071.50, 67.697078 }, //18 February 2015, UT1-UTC=-0.5130784, Accumulated Leap Seconds=35 + { 2457072.50, 67.698756 }, //19 February 2015, UT1-UTC=-0.5147561, Accumulated Leap Seconds=35 + { 2457073.50, 67.700508 }, //20 February 2015, UT1-UTC=-0.5165075, Accumulated Leap Seconds=35 + { 2457074.50, 67.702267 }, //21 February 2015, UT1-UTC=-0.5182666, Accumulated Leap Seconds=35 + { 2457075.50, 67.703952 }, //22 February 2015, UT1-UTC=-0.5199520, Accumulated Leap Seconds=35 + { 2457076.50, 67.705510 }, //23 February 2015, UT1-UTC=-0.5215099, Accumulated Leap Seconds=35 + { 2457077.50, 67.706888 }, //24 February 2015, UT1-UTC=-0.5228885, Accumulated Leap Seconds=35 + { 2457078.50, 67.708022 }, //25 February 2015, UT1-UTC=-0.5240220, Accumulated Leap Seconds=35 + { 2457079.50, 67.709021 }, //26 February 2015, UT1-UTC=-0.5250211, Accumulated Leap Seconds=35 + { 2457080.50, 67.709928 }, //27 February 2015, UT1-UTC=-0.5259277, Accumulated Leap Seconds=35 + { 2457081.50, 67.710800 }, //28 February 2015, UT1-UTC=-0.5268002, Accumulated Leap Seconds=35 + { 2457082.50, 67.711669 }, //01 March 2015, UT1-UTC=-0.5276693, Accumulated Leap Seconds=35 + { 2457083.50, 67.712586 }, //02 March 2015, UT1-UTC=-0.5285859, Accumulated Leap Seconds=35 + { 2457084.50, 67.713570 }, //03 March 2015, UT1-UTC=-0.5295700, Accumulated Leap Seconds=35 + { 2457085.50, 67.714606 }, //04 March 2015, UT1-UTC=-0.5306064, Accumulated Leap Seconds=35 + { 2457086.50, 67.715740 }, //05 March 2015, UT1-UTC=-0.5317397, Accumulated Leap Seconds=35 + { 2457087.50, 67.716877 }, //06 March 2015, UT1-UTC=-0.5328766, Accumulated Leap Seconds=35 + { 2457088.50, 67.718098 }, //07 March 2015, UT1-UTC=-0.5340977, Accumulated Leap Seconds=35 + { 2457089.50, 67.719343 }, //08 March 2015, UT1-UTC=-0.5353429, Accumulated Leap Seconds=35 + { 2457090.50, 67.720656 }, //09 March 2015, UT1-UTC=-0.5366558, Accumulated Leap Seconds=35 + { 2457091.50, 67.722045 }, //10 March 2015, UT1-UTC=-0.5380450, Accumulated Leap Seconds=35 + { 2457092.50, 67.723440 }, //11 March 2015, UT1-UTC=-0.5394402, Accumulated Leap Seconds=35 + { 2457093.50, 67.724850 }, //12 March 2015, UT1-UTC=-0.5408497, Accumulated Leap Seconds=35 + { 2457094.50, 67.726268 }, //13 March 2015, UT1-UTC=-0.5422684, Accumulated Leap Seconds=35 + { 2457095.50, 67.727678 }, //14 March 2015, UT1-UTC=-0.5436778, Accumulated Leap Seconds=35 + { 2457096.50, 67.729207 }, //15 March 2015, UT1-UTC=-0.5452073, Accumulated Leap Seconds=35 + { 2457097.50, 67.730811 }, //16 March 2015, UT1-UTC=-0.5468113, Accumulated Leap Seconds=35 + { 2457098.50, 67.732545 }, //17 March 2015, UT1-UTC=-0.5485449, Accumulated Leap Seconds=35 + { 2457099.50, 67.734460 }, //18 March 2015, UT1-UTC=-0.5504600, Accumulated Leap Seconds=35 + { 2457100.50, 67.736582 }, //19 March 2015, UT1-UTC=-0.5525818, Accumulated Leap Seconds=35 + { 2457101.50, 67.738767 }, //20 March 2015, UT1-UTC=-0.5547671, Accumulated Leap Seconds=35 + { 2457102.50, 67.741051 }, //21 March 2015, UT1-UTC=-0.5570514, Accumulated Leap Seconds=35 + { 2457103.50, 67.743263 }, //22 March 2015, UT1-UTC=-0.5592635, Accumulated Leap Seconds=35 + { 2457104.50, 67.745303 }, //23 March 2015, UT1-UTC=-0.5613029, Accumulated Leap Seconds=35 + { 2457105.50, 67.747221 }, //24 March 2015, UT1-UTC=-0.5632208, Accumulated Leap Seconds=35 + { 2457106.50, 67.748983 }, //25 March 2015, UT1-UTC=-0.5649826, Accumulated Leap Seconds=35 + { 2457107.50, 67.750639 }, //26 March 2015, UT1-UTC=-0.5666387, Accumulated Leap Seconds=35 + { 2457108.50, 67.752112 }, //27 March 2015, UT1-UTC=-0.5681125, Accumulated Leap Seconds=35 + { 2457109.50, 67.753529 }, //28 March 2015, UT1-UTC=-0.5695294, Accumulated Leap Seconds=35 + { 2457110.50, 67.754924 }, //29 March 2015, UT1-UTC=-0.5709237, Accumulated Leap Seconds=35 + { 2457111.50, 67.756292 }, //30 March 2015, UT1-UTC=-0.5722921, Accumulated Leap Seconds=35 + { 2457112.50, 67.757665 }, //31 March 2015, UT1-UTC=-0.5736649, Accumulated Leap Seconds=35 + { 2457113.50, 67.759063 }, //01 April 2015, UT1-UTC=-0.5750634, Accumulated Leap Seconds=35 + { 2457114.50, 67.760417 }, //02 April 2015, UT1-UTC=-0.5764171, Accumulated Leap Seconds=35 + { 2457115.50, 67.761735 }, //03 April 2015, UT1-UTC=-0.5777352, Accumulated Leap Seconds=35 + { 2457116.50, 67.762993 }, //04 April 2015, UT1-UTC=-0.5789928, Accumulated Leap Seconds=35 + { 2457117.50, 67.764202 }, //05 April 2015, UT1-UTC=-0.5802022, Accumulated Leap Seconds=35 + { 2457118.50, 67.765426 }, //06 April 2015, UT1-UTC=-0.5814261, Accumulated Leap Seconds=35 + { 2457119.50, 67.766655 }, //07 April 2015, UT1-UTC=-0.5826549, Accumulated Leap Seconds=35 + { 2457120.50, 67.767871 }, //08 April 2015, UT1-UTC=-0.5838712, Accumulated Leap Seconds=35 + { 2457121.50, 67.769132 }, //09 April 2015, UT1-UTC=-0.5851323, Accumulated Leap Seconds=35 + { 2457122.50, 67.770404 }, //10 April 2015, UT1-UTC=-0.5864044, Accumulated Leap Seconds=35 + { 2457123.50, 67.771751 }, //11 April 2015, UT1-UTC=-0.5877510, Accumulated Leap Seconds=35 + { 2457124.50, 67.773263 }, //12 April 2015, UT1-UTC=-0.5892630, Accumulated Leap Seconds=35 + { 2457125.50, 67.774911 }, //13 April 2015, UT1-UTC=-0.5909108, Accumulated Leap Seconds=35 + { 2457126.50, 67.776675 }, //14 April 2015, UT1-UTC=-0.5926746, Accumulated Leap Seconds=35 + { 2457127.50, 67.778548 }, //15 April 2015, UT1-UTC=-0.5945485, Accumulated Leap Seconds=35 + { 2457128.50, 67.780540 }, //16 April 2015, UT1-UTC=-0.5965396, Accumulated Leap Seconds=35 + { 2457129.50, 67.782559 }, //17 April 2015, UT1-UTC=-0.5985591, Accumulated Leap Seconds=35 + { 2457130.50, 67.784431 }, //18 April 2015, UT1-UTC=-0.6004308, Accumulated Leap Seconds=35 + { 2457131.50, 67.786209 }, //19 April 2015, UT1-UTC=-0.6022092, Accumulated Leap Seconds=35 + { 2457132.50, 67.787721 }, //20 April 2015, UT1-UTC=-0.6037213, Accumulated Leap Seconds=35 + { 2457133.50, 67.789038 }, //21 April 2015, UT1-UTC=-0.6050379, Accumulated Leap Seconds=35 + { 2457134.50, 67.790146 }, //22 April 2015, UT1-UTC=-0.6061459, Accumulated Leap Seconds=35 + { 2457135.50, 67.791200 }, //23 April 2015, UT1-UTC=-0.6071996, Accumulated Leap Seconds=35 + { 2457136.50, 67.792214 }, //24 April 2015, UT1-UTC=-0.6082139, Accumulated Leap Seconds=35 + { 2457137.50, 67.793267 }, //25 April 2015, UT1-UTC=-0.6092667, Accumulated Leap Seconds=35 + { 2457138.50, 67.794445 }, //26 April 2015, UT1-UTC=-0.6104453, Accumulated Leap Seconds=35 + { 2457139.50, 67.795685 }, //27 April 2015, UT1-UTC=-0.6116849, Accumulated Leap Seconds=35 + { 2457140.50, 67.796990 }, //28 April 2015, UT1-UTC=-0.6129902, Accumulated Leap Seconds=35 + { 2457141.50, 67.798361 }, //29 April 2015, UT1-UTC=-0.6143607, Accumulated Leap Seconds=35 + { 2457142.50, 67.799741 }, //30 April 2015, UT1-UTC=-0.6157415, Accumulated Leap Seconds=35 + { 2457143.50, 67.801154 }, //01 May 2015, UT1-UTC=-0.6171542, Accumulated Leap Seconds=35 + { 2457144.50, 67.802511 }, //02 May 2015, UT1-UTC=-0.6185112, Accumulated Leap Seconds=35 + { 2457145.50, 67.803777 }, //03 May 2015, UT1-UTC=-0.6197775, Accumulated Leap Seconds=35 + { 2457146.50, 67.804970 }, //04 May 2015, UT1-UTC=-0.6209697, Accumulated Leap Seconds=35 + { 2457147.50, 67.806073 }, //05 May 2015, UT1-UTC=-0.6220729, Accumulated Leap Seconds=35 + { 2457148.50, 67.807092 }, //06 May 2015, UT1-UTC=-0.6230920, Accumulated Leap Seconds=35 + { 2457149.50, 67.808098 }, //07 May 2015, UT1-UTC=-0.6240983, Accumulated Leap Seconds=35 + { 2457150.50, 67.809169 }, //08 May 2015, UT1-UTC=-0.6251695, Accumulated Leap Seconds=35 + { 2457151.50, 67.810284 }, //09 May 2015, UT1-UTC=-0.6262838, Accumulated Leap Seconds=35 + { 2457152.50, 67.811541 }, //10 May 2015, UT1-UTC=-0.6275410, Accumulated Leap Seconds=35 + { 2457153.50, 67.812955 }, //11 May 2015, UT1-UTC=-0.6289545, Accumulated Leap Seconds=35 + { 2457154.50, 67.814580 }, //12 May 2015, UT1-UTC=-0.6305802, Accumulated Leap Seconds=35 + { 2457155.50, 67.816375 }, //13 May 2015, UT1-UTC=-0.6323748, Accumulated Leap Seconds=35 + { 2457156.50, 67.818264 }, //14 May 2015, UT1-UTC=-0.6342644, Accumulated Leap Seconds=35 + { 2457157.50, 67.820154 }, //15 May 2015, UT1-UTC=-0.6361535, Accumulated Leap Seconds=35 + { 2457158.50, 67.822000 }, //16 May 2015, UT1-UTC=-0.6379997, Accumulated Leap Seconds=35 + { 2457159.50, 67.823746 }, //17 May 2015, UT1-UTC=-0.6397461, Accumulated Leap Seconds=35 + { 2457160.50, 67.825318 }, //18 May 2015, UT1-UTC=-0.6413176, Accumulated Leap Seconds=35 + { 2457161.50, 67.826741 }, //19 May 2015, UT1-UTC=-0.6427407, Accumulated Leap Seconds=35 + { 2457162.50, 67.828051 }, //20 May 2015, UT1-UTC=-0.6440508, Accumulated Leap Seconds=35 + { 2457163.50, 67.829286 }, //21 May 2015, UT1-UTC=-0.6452856, Accumulated Leap Seconds=35 + { 2457164.50, 67.830409 }, //22 May 2015, UT1-UTC=-0.6464092, Accumulated Leap Seconds=35 + { 2457165.50, 67.831516 }, //23 May 2015, UT1-UTC=-0.6475158, Accumulated Leap Seconds=35 + { 2457166.50, 67.832537 }, //24 May 2015, UT1-UTC=-0.6485374, Accumulated Leap Seconds=35 + { 2457167.50, 67.833557 }, //25 May 2015, UT1-UTC=-0.6495572, Accumulated Leap Seconds=35 + { 2457168.50, 67.834568 }, //26 May 2015, UT1-UTC=-0.6505676, Accumulated Leap Seconds=35 + { 2457169.50, 67.835617 }, //27 May 2015, UT1-UTC=-0.6516169, Accumulated Leap Seconds=35 + { 2457170.50, 67.836609 }, //28 May 2015, UT1-UTC=-0.6526091, Accumulated Leap Seconds=35 + { 2457171.50, 67.837638 }, //29 May 2015, UT1-UTC=-0.6536380, Accumulated Leap Seconds=35 + { 2457172.50, 67.838568 }, //30 May 2015, UT1-UTC=-0.6545684, Accumulated Leap Seconds=35 + { 2457173.50, 67.839442 }, //31 May 2015, UT1-UTC=-0.6554421, Accumulated Leap Seconds=35 + { 2457174.50, 67.840213 }, //01 June 2015, UT1-UTC=-0.6562130, Accumulated Leap Seconds=35 + { 2457175.50, 67.840913 }, //02 June 2015, UT1-UTC=-0.6569133, Accumulated Leap Seconds=35 + { 2457176.50, 67.841549 }, //03 June 2015, UT1-UTC=-0.6575488, Accumulated Leap Seconds=35 + { 2457177.50, 67.842192 }, //04 June 2015, UT1-UTC=-0.6581924, Accumulated Leap Seconds=35 + { 2457178.50, 67.842824 }, //05 June 2015, UT1-UTC=-0.6588244, Accumulated Leap Seconds=35 + { 2457179.50, 67.843558 }, //06 June 2015, UT1-UTC=-0.6595579, Accumulated Leap Seconds=35 + { 2457180.50, 67.844412 }, //07 June 2015, UT1-UTC=-0.6604117, Accumulated Leap Seconds=35 + { 2457181.50, 67.845409 }, //08 June 2015, UT1-UTC=-0.6614093, Accumulated Leap Seconds=35 + { 2457182.50, 67.846492 }, //09 June 2015, UT1-UTC=-0.6624918, Accumulated Leap Seconds=35 + { 2457183.50, 67.847531 }, //10 June 2015, UT1-UTC=-0.6635311, Accumulated Leap Seconds=35 + { 2457184.50, 67.848547 }, //11 June 2015, UT1-UTC=-0.6645469, Accumulated Leap Seconds=35 + { 2457185.50, 67.849500 }, //12 June 2015, UT1-UTC=-0.6654997, Accumulated Leap Seconds=35 + { 2457186.50, 67.850325 }, //13 June 2015, UT1-UTC=-0.6663246, Accumulated Leap Seconds=35 + { 2457187.50, 67.850933 }, //14 June 2015, UT1-UTC=-0.6669333, Accumulated Leap Seconds=35 + { 2457188.50, 67.851353 }, //15 June 2015, UT1-UTC=-0.6673534, Accumulated Leap Seconds=35 + { 2457189.50, 67.851748 }, //16 June 2015, UT1-UTC=-0.6677485, Accumulated Leap Seconds=35 + { 2457190.50, 67.851968 }, //17 June 2015, UT1-UTC=-0.6679675, Accumulated Leap Seconds=35 + { 2457191.50, 67.852184 }, //18 June 2015, UT1-UTC=-0.6681839, Accumulated Leap Seconds=35 + { 2457192.50, 67.852427 }, //19 June 2015, UT1-UTC=-0.6684274, Accumulated Leap Seconds=35 + { 2457193.50, 67.852822 }, //20 June 2015, UT1-UTC=-0.6688221, Accumulated Leap Seconds=35 + { 2457194.50, 67.853341 }, //21 June 2015, UT1-UTC=-0.6693410, Accumulated Leap Seconds=35 + { 2457195.50, 67.853919 }, //22 June 2015, UT1-UTC=-0.6699194, Accumulated Leap Seconds=35 + { 2457196.50, 67.854565 }, //23 June 2015, UT1-UTC=-0.6705649, Accumulated Leap Seconds=35 + { 2457197.50, 67.855326 }, //24 June 2015, UT1-UTC=-0.6713261, Accumulated Leap Seconds=35 + { 2457198.50, 67.856136 }, //25 June 2015, UT1-UTC=-0.6721359, Accumulated Leap Seconds=35 + { 2457199.50, 67.856958 }, //26 June 2015, UT1-UTC=-0.6729582, Accumulated Leap Seconds=35 + { 2457200.50, 67.857809 }, //27 June 2015, UT1-UTC=-0.6738090, Accumulated Leap Seconds=35 + { 2457201.50, 67.858637 }, //28 June 2015, UT1-UTC=-0.6746368, Accumulated Leap Seconds=35 + { 2457202.50, 67.859384 }, //29 June 2015, UT1-UTC=-0.6753836, Accumulated Leap Seconds=35 + { 2457203.50, 67.860032 }, //30 June 2015, UT1-UTC=-0.6760316, Accumulated Leap Seconds=35 + { 2457204.50, 67.860632 }, //01 July 2015, UT1-UTC= 0.3233682, Accumulated Leap Seconds=36 + { 2457205.50, 67.861237 }, //02 July 2015, UT1-UTC= 0.3227635, Accumulated Leap Seconds=36 + { 2457206.50, 67.861898 }, //03 July 2015, UT1-UTC= 0.3221020, Accumulated Leap Seconds=36 + { 2457207.50, 67.862730 }, //04 July 2015, UT1-UTC= 0.3212702, Accumulated Leap Seconds=36 + { 2457208.50, 67.863746 }, //05 July 2015, UT1-UTC= 0.3202538, Accumulated Leap Seconds=36 + { 2457209.50, 67.864973 }, //06 July 2015, UT1-UTC= 0.3190270, Accumulated Leap Seconds=36 + { 2457210.50, 67.866231 }, //07 July 2015, UT1-UTC= 0.3177691, Accumulated Leap Seconds=36 + { 2457211.50, 67.867625 }, //08 July 2015, UT1-UTC= 0.3163753, Accumulated Leap Seconds=36 + { 2457212.50, 67.868908 }, //09 July 2015, UT1-UTC= 0.3150922, Accumulated Leap Seconds=36 + { 2457213.50, 67.870151 }, //10 July 2015, UT1-UTC= 0.3138490, Accumulated Leap Seconds=36 + { 2457214.50, 67.871274 }, //11 July 2015, UT1-UTC= 0.3127263, Accumulated Leap Seconds=36 + { 2457215.50, 67.872203 }, //12 July 2015, UT1-UTC= 0.3117972, Accumulated Leap Seconds=36 + { 2457216.50, 67.872921 }, //13 July 2015, UT1-UTC= 0.3110788, Accumulated Leap Seconds=36 + { 2457217.50, 67.873444 }, //14 July 2015, UT1-UTC= 0.3105558, Accumulated Leap Seconds=36 + { 2457218.50, 67.873889 }, //15 July 2015, UT1-UTC= 0.3101112, Accumulated Leap Seconds=36 + { 2457219.50, 67.874276 }, //16 July 2015, UT1-UTC= 0.3097239, Accumulated Leap Seconds=36 + { 2457220.50, 67.874724 }, //17 July 2015, UT1-UTC= 0.3092758, Accumulated Leap Seconds=36 + { 2457221.50, 67.875175 }, //18 July 2015, UT1-UTC= 0.3088245, Accumulated Leap Seconds=36 + { 2457222.50, 67.875646 }, //19 July 2015, UT1-UTC= 0.3083544, Accumulated Leap Seconds=36 + { 2457223.50, 67.876113 }, //20 July 2015, UT1-UTC= 0.3078874, Accumulated Leap Seconds=36 + { 2457224.50, 67.876659 }, //21 July 2015, UT1-UTC= 0.3073406, Accumulated Leap Seconds=36 + { 2457225.50, 67.877209 }, //22 July 2015, UT1-UTC= 0.3067906, Accumulated Leap Seconds=36 + { 2457226.50, 67.877750 }, //23 July 2015, UT1-UTC= 0.3062503, Accumulated Leap Seconds=36 + { 2457227.50, 67.878205 }, //24 July 2015, UT1-UTC= 0.3057953, Accumulated Leap Seconds=36 + { 2457228.50, 67.878704 }, //25 July 2015, UT1-UTC= 0.3052963, Accumulated Leap Seconds=36 + { 2457229.50, 67.879106 }, //26 July 2015, UT1-UTC= 0.3048942, Accumulated Leap Seconds=36 + { 2457230.50, 67.879508 }, //27 July 2015, UT1-UTC= 0.3044921, Accumulated Leap Seconds=36 + { 2457231.50, 67.879901 }, //28 July 2015, UT1-UTC= 0.3040989, Accumulated Leap Seconds=36 + { 2457232.50, 67.880256 }, //29 July 2015, UT1-UTC= 0.3037437, Accumulated Leap Seconds=36 + { 2457233.50, 67.880729 }, //30 July 2015, UT1-UTC= 0.3032715, Accumulated Leap Seconds=36 + { 2457234.50, 67.881343 }, //31 July 2015, UT1-UTC= 0.3026575, Accumulated Leap Seconds=36 + { 2457235.50, 67.882158 }, //01 August 2015, UT1-UTC= 0.3018424, Accumulated Leap Seconds=36 + { 2457236.50, 67.883154 }, //02 August 2015, UT1-UTC= 0.3008463, Accumulated Leap Seconds=36 + { 2457237.50, 67.884314 }, //03 August 2015, UT1-UTC= 0.2996859, Accumulated Leap Seconds=36 + { 2457238.50, 67.885549 }, //04 August 2015, UT1-UTC= 0.2984513, Accumulated Leap Seconds=36 + { 2457239.50, 67.886778 }, //05 August 2015, UT1-UTC= 0.2972219, Accumulated Leap Seconds=36 + { 2457240.50, 67.887987 }, //06 August 2015, UT1-UTC= 0.2960130, Accumulated Leap Seconds=36 + { 2457241.50, 67.888999 }, //07 August 2015, UT1-UTC= 0.2950006, Accumulated Leap Seconds=36 + { 2457242.50, 67.889879 }, //08 August 2015, UT1-UTC= 0.2941210, Accumulated Leap Seconds=36 + { 2457243.50, 67.890644 }, //09 August 2015, UT1-UTC= 0.2933557, Accumulated Leap Seconds=36 + { 2457244.50, 67.891280 }, //10 August 2015, UT1-UTC= 0.2927201, Accumulated Leap Seconds=36 + { 2457245.50, 67.891859 }, //11 August 2015, UT1-UTC= 0.2921410, Accumulated Leap Seconds=36 + { 2457246.50, 67.892463 }, //12 August 2015, UT1-UTC= 0.2915366, Accumulated Leap Seconds=36 + { 2457247.50, 67.893078 }, //13 August 2015, UT1-UTC= 0.2909220, Accumulated Leap Seconds=36 + { 2457248.50, 67.893812 }, //14 August 2015, UT1-UTC= 0.2901880, Accumulated Leap Seconds=36 + { 2457249.50, 67.894581 }, //15 August 2015, UT1-UTC= 0.2894194, Accumulated Leap Seconds=36 + { 2457250.50, 67.895396 }, //16 August 2015, UT1-UTC= 0.2886043, Accumulated Leap Seconds=36 + { 2457251.50, 67.896237 }, //17 August 2015, UT1-UTC= 0.2877626, Accumulated Leap Seconds=36 + { 2457252.50, 67.897073 }, //18 August 2015, UT1-UTC= 0.2869267, Accumulated Leap Seconds=36 + { 2457253.50, 67.897869 }, //19 August 2015, UT1-UTC= 0.2861307, Accumulated Leap Seconds=36 + { 2457254.50, 67.898692 }, //20 August 2015, UT1-UTC= 0.2853077, Accumulated Leap Seconds=36 + { 2457255.50, 67.899532 }, //21 August 2015, UT1-UTC= 0.2844675, Accumulated Leap Seconds=36 + { 2457256.50, 67.900361 }, //22 August 2015, UT1-UTC= 0.2836391, Accumulated Leap Seconds=36 + { 2457257.50, 67.901136 }, //23 August 2015, UT1-UTC= 0.2828636, Accumulated Leap Seconds=36 + { 2457258.50, 67.901886 }, //24 August 2015, UT1-UTC= 0.2821140, Accumulated Leap Seconds=36 + { 2457259.50, 67.902689 }, //25 August 2015, UT1-UTC= 0.2813110, Accumulated Leap Seconds=36 + { 2457260.50, 67.903572 }, //26 August 2015, UT1-UTC= 0.2804278, Accumulated Leap Seconds=36 + { 2457261.50, 67.904534 }, //27 August 2015, UT1-UTC= 0.2794655, Accumulated Leap Seconds=36 + { 2457262.50, 67.905652 }, //28 August 2015, UT1-UTC= 0.2783477, Accumulated Leap Seconds=36 + { 2457263.50, 67.906956 }, //29 August 2015, UT1-UTC= 0.2770440, Accumulated Leap Seconds=36 + { 2457264.50, 67.908463 }, //30 August 2015, UT1-UTC= 0.2755372, Accumulated Leap Seconds=36 + { 2457265.50, 67.910198 }, //31 August 2015, UT1-UTC= 0.2738018, Accumulated Leap Seconds=36 + { 2457266.50, 67.912010 }, //01 September 2015, UT1-UTC= 0.2719899, Accumulated Leap Seconds=36 + { 2457267.50, 67.913805 }, //02 September 2015, UT1-UTC= 0.2701950, Accumulated Leap Seconds=36 + { 2457268.50, 67.915502 }, //03 September 2015, UT1-UTC= 0.2684981, Accumulated Leap Seconds=36 + { 2457269.50, 67.916981 }, //04 September 2015, UT1-UTC= 0.2670190, Accumulated Leap Seconds=36 + { 2457270.50, 67.918323 }, //05 September 2015, UT1-UTC= 0.2656770, Accumulated Leap Seconds=36 + { 2457271.50, 67.919522 }, //06 September 2015, UT1-UTC= 0.2644780, Accumulated Leap Seconds=36 + { 2457272.50, 67.920638 }, //07 September 2015, UT1-UTC= 0.2633617, Accumulated Leap Seconds=36 + { 2457273.50, 67.921686 }, //08 September 2015, UT1-UTC= 0.2623142, Accumulated Leap Seconds=36 + { 2457274.50, 67.922743 }, //09 September 2015, UT1-UTC= 0.2612568, Accumulated Leap Seconds=36 + { 2457275.50, 67.923803 }, //10 September 2015, UT1-UTC= 0.2601972, Accumulated Leap Seconds=36 + { 2457276.50, 67.924848 }, //11 September 2015, UT1-UTC= 0.2591523, Accumulated Leap Seconds=36 + { 2457277.50, 67.926026 }, //12 September 2015, UT1-UTC= 0.2579742, Accumulated Leap Seconds=36 + { 2457278.50, 67.927323 }, //13 September 2015, UT1-UTC= 0.2566772, Accumulated Leap Seconds=36 + { 2457279.50, 67.928636 }, //14 September 2015, UT1-UTC= 0.2553638, Accumulated Leap Seconds=36 + { 2457280.50, 67.929948 }, //15 September 2015, UT1-UTC= 0.2540516, Accumulated Leap Seconds=36 + { 2457281.50, 67.931255 }, //16 September 2015, UT1-UTC= 0.2527454, Accumulated Leap Seconds=36 + { 2457282.50, 67.932495 }, //17 September 2015, UT1-UTC= 0.2515046, Accumulated Leap Seconds=36 + { 2457283.50, 67.933679 }, //18 September 2015, UT1-UTC= 0.2503208, Accumulated Leap Seconds=36 + { 2457284.50, 67.934866 }, //19 September 2015, UT1-UTC= 0.2491338, Accumulated Leap Seconds=36 + { 2457285.50, 67.936024 }, //20 September 2015, UT1-UTC= 0.2479762, Accumulated Leap Seconds=36 + { 2457286.50, 67.937250 }, //21 September 2015, UT1-UTC= 0.2467495, Accumulated Leap Seconds=36 + { 2457287.50, 67.938492 }, //22 September 2015, UT1-UTC= 0.2455077, Accumulated Leap Seconds=36 + { 2457288.50, 67.939824 }, //23 September 2015, UT1-UTC= 0.2441763, Accumulated Leap Seconds=36 + { 2457289.50, 67.941239 }, //24 September 2015, UT1-UTC= 0.2427613, Accumulated Leap Seconds=36 + { 2457290.50, 67.942820 }, //25 September 2015, UT1-UTC= 0.2411804, Accumulated Leap Seconds=36 + { 2457291.50, 67.944623 }, //26 September 2015, UT1-UTC= 0.2393773, Accumulated Leap Seconds=36 + { 2457292.50, 67.946652 }, //27 September 2015, UT1-UTC= 0.2373484, Accumulated Leap Seconds=36 + { 2457293.50, 67.948779 }, //28 September 2015, UT1-UTC= 0.2352207, Accumulated Leap Seconds=36 + { 2457294.50, 67.950875 }, //29 September 2015, UT1-UTC= 0.2331245, Accumulated Leap Seconds=36 + { 2457295.50, 67.952852 }, //30 September 2015, UT1-UTC= 0.2311479, Accumulated Leap Seconds=36 + { 2457296.50, 67.954646 }, //01 October 2015, UT1-UTC= 0.2293538, Accumulated Leap Seconds=36 + { 2457297.50, 67.956199 }, //02 October 2015, UT1-UTC= 0.2278013, Accumulated Leap Seconds=36 + { 2457298.50, 67.957538 }, //03 October 2015, UT1-UTC= 0.2264625, Accumulated Leap Seconds=36 + { 2457299.50, 67.958771 }, //04 October 2015, UT1-UTC= 0.2252291, Accumulated Leap Seconds=36 + { 2457300.50, 67.959974 }, //05 October 2015, UT1-UTC= 0.2240258, Accumulated Leap Seconds=36 + { 2457301.50, 67.961252 }, //06 October 2015, UT1-UTC= 0.2227476, Accumulated Leap Seconds=36 + { 2457302.50, 67.962587 }, //07 October 2015, UT1-UTC= 0.2214125, Accumulated Leap Seconds=36 + { 2457303.50, 67.963977 }, //08 October 2015, UT1-UTC= 0.2200226, Accumulated Leap Seconds=36 + { 2457304.50, 67.965397 }, //09 October 2015, UT1-UTC= 0.2186028, Accumulated Leap Seconds=36 + { 2457305.50, 67.966943 }, //10 October 2015, UT1-UTC= 0.2170570, Accumulated Leap Seconds=36 + { 2457306.50, 67.968506 }, //11 October 2015, UT1-UTC= 0.2154943, Accumulated Leap Seconds=36 + { 2457307.50, 67.970134 }, //12 October 2015, UT1-UTC= 0.2138664, Accumulated Leap Seconds=36 + { 2457308.50, 67.971775 }, //13 October 2015, UT1-UTC= 0.2122251, Accumulated Leap Seconds=36 + { 2457309.50, 67.973448 }, //14 October 2015, UT1-UTC= 0.2105521, Accumulated Leap Seconds=36 + { 2457310.50, 67.974998 }, //15 October 2015, UT1-UTC= 0.2090018, Accumulated Leap Seconds=36 + { 2457311.50, 67.976399 }, //16 October 2015, UT1-UTC= 0.2076005, Accumulated Leap Seconds=36 + { 2457312.50, 67.977804 }, //17 October 2015, UT1-UTC= 0.2061956, Accumulated Leap Seconds=36 + { 2457313.50, 67.979277 }, //18 October 2015, UT1-UTC= 0.2047225, Accumulated Leap Seconds=36 + { 2457314.50, 67.980820 }, //19 October 2015, UT1-UTC= 0.2031797, Accumulated Leap Seconds=36 + { 2457315.50, 67.982376 }, //20 October 2015, UT1-UTC= 0.2016244, Accumulated Leap Seconds=36 + { 2457316.50, 67.983940 }, //21 October 2015, UT1-UTC= 0.2000598, Accumulated Leap Seconds=36 + { 2457317.50, 67.985608 }, //22 October 2015, UT1-UTC= 0.1983916, Accumulated Leap Seconds=36 + { 2457318.50, 67.987465 }, //23 October 2015, UT1-UTC= 0.1965353, Accumulated Leap Seconds=36 + { 2457319.50, 67.989535 }, //24 October 2015, UT1-UTC= 0.1944652, Accumulated Leap Seconds=36 + { 2457320.50, 67.991755 }, //25 October 2015, UT1-UTC= 0.1922446, Accumulated Leap Seconds=36 + { 2457321.50, 67.994053 }, //26 October 2015, UT1-UTC= 0.1899469, Accumulated Leap Seconds=36 + { 2457322.50, 67.996344 }, //27 October 2015, UT1-UTC= 0.1876556, Accumulated Leap Seconds=36 + { 2457323.50, 67.998528 }, //28 October 2015, UT1-UTC= 0.1854718, Accumulated Leap Seconds=36 + { 2457324.50, 68.000562 }, //29 October 2015, UT1-UTC= 0.1834377, Accumulated Leap Seconds=36 + { 2457325.50, 68.002338 }, //30 October 2015, UT1-UTC= 0.1816623, Accumulated Leap Seconds=36 + { 2457326.50, 68.003976 }, //31 October 2015, UT1-UTC= 0.1800239, Accumulated Leap Seconds=36 + { 2457327.50, 68.005484 }, //01 November 2015, UT1-UTC= 0.1785161, Accumulated Leap Seconds=36 + { 2457328.50, 68.006968 }, //02 November 2015, UT1-UTC= 0.1770322, Accumulated Leap Seconds=36 + { 2457329.50, 68.008405 }, //03 November 2015, UT1-UTC= 0.1755949, Accumulated Leap Seconds=36 + { 2457330.50, 68.009818 }, //04 November 2015, UT1-UTC= 0.1741824, Accumulated Leap Seconds=36 + { 2457331.50, 68.011250 }, //05 November 2015, UT1-UTC= 0.1727503, Accumulated Leap Seconds=36 + { 2457332.50, 68.012748 }, //06 November 2015, UT1-UTC= 0.1712525, Accumulated Leap Seconds=36 + { 2457333.50, 68.014348 }, //07 November 2015, UT1-UTC= 0.1696520, Accumulated Leap Seconds=36 + { 2457334.50, 68.015963 }, //08 November 2015, UT1-UTC= 0.1680366, Accumulated Leap Seconds=36 + { 2457335.50, 68.017570 }, //09 November 2015, UT1-UTC= 0.1664302, Accumulated Leap Seconds=36 + { 2457336.50, 68.019126 }, //10 November 2015, UT1-UTC= 0.1648740, Accumulated Leap Seconds=36 + { 2457337.50, 68.020644 }, //11 November 2015, UT1-UTC= 0.1633562, Accumulated Leap Seconds=36 + { 2457338.50, 68.022110 }, //12 November 2015, UT1-UTC= 0.1618895, Accumulated Leap Seconds=36 + { 2457339.50, 68.023525 }, //13 November 2015, UT1-UTC= 0.1604752, Accumulated Leap Seconds=36 + { 2457340.50, 68.024882 }, //14 November 2015, UT1-UTC= 0.1591181, Accumulated Leap Seconds=36 + { 2457341.50, 68.026281 }, //15 November 2015, UT1-UTC= 0.1577185, Accumulated Leap Seconds=36 + { 2457342.50, 68.027648 }, //16 November 2015, UT1-UTC= 0.1563516, Accumulated Leap Seconds=36 + { 2457343.50, 68.029073 }, //17 November 2015, UT1-UTC= 0.1549268, Accumulated Leap Seconds=36 + { 2457344.50, 68.030557 }, //18 November 2015, UT1-UTC= 0.1534431, Accumulated Leap Seconds=36 + { 2457345.50, 68.032117 }, //19 November 2015, UT1-UTC= 0.1518834, Accumulated Leap Seconds=36 + { 2457346.50, 68.033750 }, //20 November 2015, UT1-UTC= 0.1502498, Accumulated Leap Seconds=36 + { 2457347.50, 68.035483 }, //21 November 2015, UT1-UTC= 0.1485169, Accumulated Leap Seconds=36 + { 2457348.50, 68.037313 }, //22 November 2015, UT1-UTC= 0.1466873, Accumulated Leap Seconds=36 + { 2457349.50, 68.039109 }, //23 November 2015, UT1-UTC= 0.1448906, Accumulated Leap Seconds=36 + { 2457350.50, 68.040925 }, //24 November 2015, UT1-UTC= 0.1430747, Accumulated Leap Seconds=36 + { 2457351.50, 68.042616 }, //25 November 2015, UT1-UTC= 0.1413842, Accumulated Leap Seconds=36 + { 2457352.50, 68.044216 }, //26 November 2015, UT1-UTC= 0.1397837, Accumulated Leap Seconds=36 + { 2457353.50, 68.045653 }, //27 November 2015, UT1-UTC= 0.1383474, Accumulated Leap Seconds=36 + { 2457354.50, 68.047014 }, //28 November 2015, UT1-UTC= 0.1369856, Accumulated Leap Seconds=36 + { 2457355.50, 68.048401 }, //29 November 2015, UT1-UTC= 0.1355993, Accumulated Leap Seconds=36 + { 2457356.50, 68.049871 }, //30 November 2015, UT1-UTC= 0.1341290, Accumulated Leap Seconds=36 + { 2457357.50, 68.051412 }, //01 December 2015, UT1-UTC= 0.1325880, Accumulated Leap Seconds=36 + { 2457358.50, 68.053004 }, //02 December 2015, UT1-UTC= 0.1309957, Accumulated Leap Seconds=36 + { 2457359.50, 68.054690 }, //03 December 2015, UT1-UTC= 0.1293098, Accumulated Leap Seconds=36 + { 2457360.50, 68.056378 }, //04 December 2015, UT1-UTC= 0.1276216, Accumulated Leap Seconds=36 + { 2457361.50, 68.058076 }, //05 December 2015, UT1-UTC= 0.1259237, Accumulated Leap Seconds=36 + { 2457362.50, 68.059724 }, //06 December 2015, UT1-UTC= 0.1242763, Accumulated Leap Seconds=36 + { 2457363.50, 68.061403 }, //07 December 2015, UT1-UTC= 0.1225967, Accumulated Leap Seconds=36 + { 2457364.50, 68.063055 }, //08 December 2015, UT1-UTC= 0.1209451, Accumulated Leap Seconds=36 + { 2457365.50, 68.064685 }, //09 December 2015, UT1-UTC= 0.1193154, Accumulated Leap Seconds=36 + { 2457366.50, 68.066303 }, //10 December 2015, UT1-UTC= 0.1176968, Accumulated Leap Seconds=36 + { 2457367.50, 68.067796 }, //11 December 2015, UT1-UTC= 0.1162041, Accumulated Leap Seconds=36 + { 2457368.50, 68.069219 }, //12 December 2015, UT1-UTC= 0.1147810, Accumulated Leap Seconds=36 + { 2457369.50, 68.070639 }, //13 December 2015, UT1-UTC= 0.1133612, Accumulated Leap Seconds=36 + { 2457370.50, 68.072019 }, //14 December 2015, UT1-UTC= 0.1119809, Accumulated Leap Seconds=36 + { 2457371.50, 68.073489 }, //15 December 2015, UT1-UTC= 0.1105114, Accumulated Leap Seconds=36 + { 2457372.50, 68.075079 }, //16 December 2015, UT1-UTC= 0.1089211, Accumulated Leap Seconds=36 + { 2457373.50, 68.076782 }, //17 December 2015, UT1-UTC= 0.1072180, Accumulated Leap Seconds=36 + { 2457374.50, 68.078602 }, //18 December 2015, UT1-UTC= 0.1053984, Accumulated Leap Seconds=36 + { 2457375.50, 68.080495 }, //19 December 2015, UT1-UTC= 0.1035047, Accumulated Leap Seconds=36 + { 2457376.50, 68.082497 }, //20 December 2015, UT1-UTC= 0.1015032, Accumulated Leap Seconds=36 + { 2457377.50, 68.084479 }, //21 December 2015, UT1-UTC= 0.0995206, Accumulated Leap Seconds=36 + { 2457378.50, 68.086364 }, //22 December 2015, UT1-UTC= 0.0976362, Accumulated Leap Seconds=36 + { 2457379.50, 68.088138 }, //23 December 2015, UT1-UTC= 0.0958616, Accumulated Leap Seconds=36 + { 2457380.50, 68.089696 }, //24 December 2015, UT1-UTC= 0.0943042, Accumulated Leap Seconds=36 + { 2457381.50, 68.091096 }, //25 December 2015, UT1-UTC= 0.0929038, Accumulated Leap Seconds=36 + { 2457382.50, 68.092555 }, //26 December 2015, UT1-UTC= 0.0914454, Accumulated Leap Seconds=36 + { 2457383.50, 68.093921 }, //27 December 2015, UT1-UTC= 0.0900786, Accumulated Leap Seconds=36 + { 2457384.50, 68.095406 }, //28 December 2015, UT1-UTC= 0.0885937, Accumulated Leap Seconds=36 + { 2457385.50, 68.097022 }, //29 December 2015, UT1-UTC= 0.0869781, Accumulated Leap Seconds=36 + { 2457386.50, 68.098729 }, //30 December 2015, UT1-UTC= 0.0852709, Accumulated Leap Seconds=36 + { 2457387.50, 68.100524 }, //31 December 2015, UT1-UTC= 0.0834758, Accumulated Leap Seconds=36 + { 2457388.50, 68.102420 }, //01 January 2016, UT1-UTC= 0.0815795, Accumulated Leap Seconds=36 + { 2457389.50, 68.104363 }, //02 January 2016, UT1-UTC= 0.0796373, Accumulated Leap Seconds=36 + { 2457390.50, 68.106285 }, //03 January 2016, UT1-UTC= 0.0777154, Accumulated Leap Seconds=36 + { 2457391.50, 68.108226 }, //04 January 2016, UT1-UTC= 0.0757743, Accumulated Leap Seconds=36 + { 2457392.50, 68.110154 }, //05 January 2016, UT1-UTC= 0.0738461, Accumulated Leap Seconds=36 + { 2457393.50, 68.112037 }, //06 January 2016, UT1-UTC= 0.0719625, Accumulated Leap Seconds=36 + { 2457394.50, 68.113879 }, //07 January 2016, UT1-UTC= 0.0701214, Accumulated Leap Seconds=36 + { 2457395.50, 68.115684 }, //08 January 2016, UT1-UTC= 0.0683163, Accumulated Leap Seconds=36 + { 2457396.50, 68.117416 }, //09 January 2016, UT1-UTC= 0.0665840, Accumulated Leap Seconds=36 + { 2457397.50, 68.119177 }, //10 January 2016, UT1-UTC= 0.0648234, Accumulated Leap Seconds=36 + { 2457398.50, 68.120974 }, //11 January 2016, UT1-UTC= 0.0630258, Accumulated Leap Seconds=36 + { 2457399.50, 68.122936 }, //12 January 2016, UT1-UTC= 0.0610640, Accumulated Leap Seconds=36 + { 2457400.50, 68.124992 }, //13 January 2016, UT1-UTC= 0.0590080, Accumulated Leap Seconds=36 + { 2457401.50, 68.127121 }, //14 January 2016, UT1-UTC= 0.0568793, Accumulated Leap Seconds=36 + { 2457402.50, 68.129367 }, //15 January 2016, UT1-UTC= 0.0546329, Accumulated Leap Seconds=36 + { 2457403.50, 68.131517 }, //16 January 2016, UT1-UTC= 0.0524834, Accumulated Leap Seconds=36 + { 2457404.50, 68.133647 }, //17 January 2016, UT1-UTC= 0.0503529, Accumulated Leap Seconds=36 + { 2457405.50, 68.135583 }, //18 January 2016, UT1-UTC= 0.0484173, Accumulated Leap Seconds=36 + { 2457406.50, 68.137489 }, //19 January 2016, UT1-UTC= 0.0465106, Accumulated Leap Seconds=36 + { 2457407.50, 68.139260 }, //20 January 2016, UT1-UTC= 0.0447403, Accumulated Leap Seconds=36 + { 2457408.50, 68.140893 }, //21 January 2016, UT1-UTC= 0.0431073, Accumulated Leap Seconds=36 + { 2457409.50, 68.142460 }, //22 January 2016, UT1-UTC= 0.0415405, Accumulated Leap Seconds=36 + { 2457410.50, 68.143983 }, //23 January 2016, UT1-UTC= 0.0400168, Accumulated Leap Seconds=36 + { 2457411.50, 68.145577 }, //24 January 2016, UT1-UTC= 0.0384231, Accumulated Leap Seconds=36 + { 2457412.50, 68.147185 }, //25 January 2016, UT1-UTC= 0.0368154, Accumulated Leap Seconds=36 + { 2457413.50, 68.148817 }, //26 January 2016, UT1-UTC= 0.0351828, Accumulated Leap Seconds=36 + { 2457414.50, 68.150425 }, //27 January 2016, UT1-UTC= 0.0335746, Accumulated Leap Seconds=36 + { 2457415.50, 68.152010 }, //28 January 2016, UT1-UTC= 0.0319901, Accumulated Leap Seconds=36 + { 2457416.50, 68.153547 }, //29 January 2016, UT1-UTC= 0.0304532, Accumulated Leap Seconds=36 + { 2457417.50, 68.155063 }, //30 January 2016, UT1-UTC= 0.0289370, Accumulated Leap Seconds=36 + { 2457418.50, 68.156408 }, //31 January 2016, UT1-UTC= 0.0275923, Accumulated Leap Seconds=36 + { 2457419.50, 68.157713 }, //01 February 2016, UT1-UTC= 0.0262873, Accumulated Leap Seconds=36 + { 2457420.50, 68.159009 }, //02 February 2016, UT1-UTC= 0.0249913, Accumulated Leap Seconds=36 + { 2457421.50, 68.160201 }, //03 February 2016, UT1-UTC= 0.0237994, Accumulated Leap Seconds=36 + { 2457422.50, 68.161383 }, //04 February 2016, UT1-UTC= 0.0226169, Accumulated Leap Seconds=36 + { 2457423.50, 68.162573 }, //05 February 2016, UT1-UTC= 0.0214271, Accumulated Leap Seconds=36 + { 2457424.50, 68.163811 }, //06 February 2016, UT1-UTC= 0.0201890, Accumulated Leap Seconds=36 + { 2457425.50, 68.165349 }, //07 February 2016, UT1-UTC= 0.0186505, Accumulated Leap Seconds=36 + { 2457426.50, 68.166893 }, //08 February 2016, UT1-UTC= 0.0171067, Accumulated Leap Seconds=36 + { 2457427.50, 68.168691 }, //09 February 2016, UT1-UTC= 0.0153086, Accumulated Leap Seconds=36 + { 2457428.50, 68.170687 }, //10 February 2016, UT1-UTC= 0.0133135, Accumulated Leap Seconds=36 + { 2457429.50, 68.172788 }, //11 February 2016, UT1-UTC= 0.0112116, Accumulated Leap Seconds=36 + { 2457430.50, 68.174834 }, //12 February 2016, UT1-UTC= 0.0091659, Accumulated Leap Seconds=36 + { 2457431.50, 68.176871 }, //13 February 2016, UT1-UTC= 0.0071291, Accumulated Leap Seconds=36 + { 2457432.50, 68.178759 }, //14 February 2016, UT1-UTC= 0.0052412, Accumulated Leap Seconds=36 + { 2457433.50, 68.180496 }, //15 February 2016, UT1-UTC= 0.0035036, Accumulated Leap Seconds=36 + { 2457434.50, 68.182088 }, //16 February 2016, UT1-UTC= 0.0019117, Accumulated Leap Seconds=36 + { 2457435.50, 68.183531 }, //17 February 2016, UT1-UTC= 0.0004688, Accumulated Leap Seconds=36 + { 2457436.50, 68.184856 }, //18 February 2016, UT1-UTC=-0.0008558, Accumulated Leap Seconds=36 + { 2457437.50, 68.186144 }, //19 February 2016, UT1-UTC=-0.0021443, Accumulated Leap Seconds=36 + { 2457438.50, 68.187467 }, //20 February 2016, UT1-UTC=-0.0034666, Accumulated Leap Seconds=36 + { 2457439.50, 68.188887 }, //21 February 2016, UT1-UTC=-0.0048874, Accumulated Leap Seconds=36 + { 2457440.50, 68.190431 }, //22 February 2016, UT1-UTC=-0.0064308, Accumulated Leap Seconds=36 + { 2457441.50, 68.192075 }, //23 February 2016, UT1-UTC=-0.0080748, Accumulated Leap Seconds=36 + { 2457442.50, 68.193792 }, //24 February 2016, UT1-UTC=-0.0097922, Accumulated Leap Seconds=36 + { 2457443.50, 68.195576 }, //25 February 2016, UT1-UTC=-0.0115757, Accumulated Leap Seconds=36 + { 2457444.50, 68.197419 }, //26 February 2016, UT1-UTC=-0.0134193, Accumulated Leap Seconds=36 + { 2457445.50, 68.199216 }, //27 February 2016, UT1-UTC=-0.0152164, Accumulated Leap Seconds=36 + { 2457446.50, 68.200966 }, //28 February 2016, UT1-UTC=-0.0169658, Accumulated Leap Seconds=36 + { 2457447.50, 68.202691 }, //29 February 2016, UT1-UTC=-0.0186907, Accumulated Leap Seconds=36 + { 2457448.50, 68.204365 }, //01 March 2016, UT1-UTC=-0.0203653, Accumulated Leap Seconds=36 + { 2457449.50, 68.206012 }, //02 March 2016, UT1-UTC=-0.0220122, Accumulated Leap Seconds=36 + { 2457450.50, 68.207702 }, //03 March 2016, UT1-UTC=-0.0237020, Accumulated Leap Seconds=36 + { 2457451.50, 68.209442 }, //04 March 2016, UT1-UTC=-0.0254416, Accumulated Leap Seconds=36 + { 2457452.50, 68.211236 }, //05 March 2016, UT1-UTC=-0.0272359, Accumulated Leap Seconds=36 + { 2457453.50, 68.213184 }, //06 March 2016, UT1-UTC=-0.0291843, Accumulated Leap Seconds=36 + { 2457454.50, 68.215309 }, //07 March 2016, UT1-UTC=-0.0313091, Accumulated Leap Seconds=36 + { 2457455.50, 68.217560 }, //08 March 2016, UT1-UTC=-0.0335602, Accumulated Leap Seconds=36 + { 2457456.50, 68.219917 }, //09 March 2016, UT1-UTC=-0.0359172, Accumulated Leap Seconds=36 + { 2457457.50, 68.222365 }, //10 March 2016, UT1-UTC=-0.0383652, Accumulated Leap Seconds=36 + { 2457458.50, 68.224862 }, //11 March 2016, UT1-UTC=-0.0408624, Accumulated Leap Seconds=36 + { 2457459.50, 68.227282 }, //12 March 2016, UT1-UTC=-0.0432816, Accumulated Leap Seconds=36 + { 2457460.50, 68.229580 }, //13 March 2016, UT1-UTC=-0.0455797, Accumulated Leap Seconds=36 + { 2457461.50, 68.231747 }, //14 March 2016, UT1-UTC=-0.0477466, Accumulated Leap Seconds=36 + { 2457462.50, 68.233769 }, //15 March 2016, UT1-UTC=-0.0497693, Accumulated Leap Seconds=36 + { 2457463.50, 68.235648 }, //16 March 2016, UT1-UTC=-0.0516483, Accumulated Leap Seconds=36 + { 2457464.50, 68.237466 }, //17 March 2016, UT1-UTC=-0.0534664, Accumulated Leap Seconds=36 + { 2457465.50, 68.239284 }, //18 March 2016, UT1-UTC=-0.0552843, Accumulated Leap Seconds=36 + { 2457466.50, 68.241143 }, //19 March 2016, UT1-UTC=-0.0571428, Accumulated Leap Seconds=36 + { 2457467.50, 68.243084 }, //20 March 2016, UT1-UTC=-0.0590845, Accumulated Leap Seconds=36 + { 2457468.50, 68.245099 }, //21 March 2016, UT1-UTC=-0.0610988, Accumulated Leap Seconds=36 + { 2457469.50, 68.247186 }, //22 March 2016, UT1-UTC=-0.0631860, Accumulated Leap Seconds=36 + { 2457470.50, 68.249293 }, //23 March 2016, UT1-UTC=-0.0652933, Accumulated Leap Seconds=36 + { 2457471.50, 68.251340 }, //24 March 2016, UT1-UTC=-0.0673398, Accumulated Leap Seconds=36 + { 2457472.50, 68.253354 }, //25 March 2016, UT1-UTC=-0.0693540, Accumulated Leap Seconds=36 + { 2457473.50, 68.255390 }, //26 March 2016, UT1-UTC=-0.0713899, Accumulated Leap Seconds=36 + { 2457474.50, 68.257399 }, //27 March 2016, UT1-UTC=-0.0733993, Accumulated Leap Seconds=36 + { 2457475.50, 68.259336 }, //28 March 2016, UT1-UTC=-0.0753359, Accumulated Leap Seconds=36 + { 2457476.50, 68.261184 }, //29 March 2016, UT1-UTC=-0.0771843, Accumulated Leap Seconds=36 + { 2457477.50, 68.262961 }, //30 March 2016, UT1-UTC=-0.0789609, Accumulated Leap Seconds=36 + { 2457478.50, 68.264700 }, //31 March 2016, UT1-UTC=-0.0807003, Accumulated Leap Seconds=36 + { 2457479.50, 68.266451 }, //01 April 2016, UT1-UTC=-0.0824507, Accumulated Leap Seconds=36 + { 2457480.50, 68.268246 }, //02 April 2016, UT1-UTC=-0.0842461, Accumulated Leap Seconds=36 + { 2457481.50, 68.270150 }, //03 April 2016, UT1-UTC=-0.0861498, Accumulated Leap Seconds=36 + { 2457482.50, 68.272153 }, //04 April 2016, UT1-UTC=-0.0881531, Accumulated Leap Seconds=36 + { 2457483.50, 68.274299 }, //05 April 2016, UT1-UTC=-0.0902987, Accumulated Leap Seconds=36 + { 2457484.50, 68.276577 }, //06 April 2016, UT1-UTC=-0.0925765, Accumulated Leap Seconds=36 + { 2457485.50, 68.278934 }, //07 April 2016, UT1-UTC=-0.0949338, Accumulated Leap Seconds=36 + { 2457486.50, 68.281274 }, //08 April 2016, UT1-UTC=-0.0972744, Accumulated Leap Seconds=36 + { 2457487.50, 68.283575 }, //09 April 2016, UT1-UTC=-0.0995752, Accumulated Leap Seconds=36 + { 2457488.50, 68.285722 }, //10 April 2016, UT1-UTC=-0.1017219, Accumulated Leap Seconds=36 + { 2457489.50, 68.287665 }, //11 April 2016, UT1-UTC=-0.1036651, Accumulated Leap Seconds=36 + { 2457490.50, 68.289474 }, //12 April 2016, UT1-UTC=-0.1054736, Accumulated Leap Seconds=36 + { 2457491.50, 68.291168 }, //13 April 2016, UT1-UTC=-0.1071675, Accumulated Leap Seconds=36 + { 2457492.50, 68.292754 }, //14 April 2016, UT1-UTC=-0.1087543, Accumulated Leap Seconds=36 + { 2457493.50, 68.294296 }, //15 April 2016, UT1-UTC=-0.1102959, Accumulated Leap Seconds=36 + { 2457494.50, 68.295895 }, //16 April 2016, UT1-UTC=-0.1118952, Accumulated Leap Seconds=36 + { 2457495.50, 68.297549 }, //17 April 2016, UT1-UTC=-0.1135492, Accumulated Leap Seconds=36 + { 2457496.50, 68.299216 }, //18 April 2016, UT1-UTC=-0.1152155, Accumulated Leap Seconds=36 + { 2457497.50, 68.300908 }, //19 April 2016, UT1-UTC=-0.1169076, Accumulated Leap Seconds=36 + { 2457498.50, 68.302631 }, //20 April 2016, UT1-UTC=-0.1186310, Accumulated Leap Seconds=36 + { 2457499.50, 68.304326 }, //21 April 2016, UT1-UTC=-0.1203262, Accumulated Leap Seconds=36 + { 2457500.50, 68.305971 }, //22 April 2016, UT1-UTC=-0.1219708, Accumulated Leap Seconds=36 + { 2457501.50, 68.307581 }, //23 April 2016, UT1-UTC=-0.1235814, Accumulated Leap Seconds=36 + { 2457502.50, 68.309116 }, //24 April 2016, UT1-UTC=-0.1251158, Accumulated Leap Seconds=36 + { 2457503.50, 68.310519 }, //25 April 2016, UT1-UTC=-0.1265186, Accumulated Leap Seconds=36 + { 2457504.50, 68.311798 }, //26 April 2016, UT1-UTC=-0.1277979, Accumulated Leap Seconds=36 + { 2457505.50, 68.313029 }, //27 April 2016, UT1-UTC=-0.1290288, Accumulated Leap Seconds=36 + { 2457506.50, 68.314317 }, //28 April 2016, UT1-UTC=-0.1303167, Accumulated Leap Seconds=36 + { 2457507.50, 68.315701 }, //29 April 2016, UT1-UTC=-0.1317012, Accumulated Leap Seconds=36 + { 2457508.50, 68.317193 }, //30 April 2016, UT1-UTC=-0.1331931, Accumulated Leap Seconds=36 + { 2457509.50, 68.318817 }, //01 May 2016, UT1-UTC=-0.1348171, Accumulated Leap Seconds=36 + { 2457510.50, 68.320586 }, //02 May 2016, UT1-UTC=-0.1365862, Accumulated Leap Seconds=36 + { 2457511.50, 68.322540 }, //03 May 2016, UT1-UTC=-0.1385399, Accumulated Leap Seconds=36 + { 2457512.50, 68.324670 }, //04 May 2016, UT1-UTC=-0.1406699, Accumulated Leap Seconds=36 + { 2457513.50, 68.326863 }, //05 May 2016, UT1-UTC=-0.1428627, Accumulated Leap Seconds=36 + { 2457514.50, 68.329010 }, //06 May 2016, UT1-UTC=-0.1450098, Accumulated Leap Seconds=36 + { 2457515.50, 68.331030 }, //07 May 2016, UT1-UTC=-0.1470298, Accumulated Leap Seconds=36 + { 2457516.50, 68.332878 }, //08 May 2016, UT1-UTC=-0.1488783, Accumulated Leap Seconds=36 + { 2457517.50, 68.334549 }, //09 May 2016, UT1-UTC=-0.1505493, Accumulated Leap Seconds=36 + { 2457518.50, 68.336073 }, //10 May 2016, UT1-UTC=-0.1520726, Accumulated Leap Seconds=36 + { 2457519.50, 68.337475 }, //11 May 2016, UT1-UTC=-0.1534752, Accumulated Leap Seconds=36 + { 2457520.50, 68.338831 }, //12 May 2016, UT1-UTC=-0.1548314, Accumulated Leap Seconds=36 + { 2457521.50, 68.340259 }, //13 May 2016, UT1-UTC=-0.1562592, Accumulated Leap Seconds=36 + { 2457522.50, 68.341809 }, //14 May 2016, UT1-UTC=-0.1578095, Accumulated Leap Seconds=36 + { 2457523.50, 68.343459 }, //15 May 2016, UT1-UTC=-0.1594593, Accumulated Leap Seconds=36 + { 2457524.50, 68.345178 }, //16 May 2016, UT1-UTC=-0.1611781, Accumulated Leap Seconds=36 + { 2457525.50, 68.346928 }, //17 May 2016, UT1-UTC=-0.1629276, Accumulated Leap Seconds=36 + { 2457526.50, 68.348654 }, //18 May 2016, UT1-UTC=-0.1646540, Accumulated Leap Seconds=36 + { 2457527.50, 68.350296 }, //19 May 2016, UT1-UTC=-0.1662957, Accumulated Leap Seconds=36 + { 2457528.50, 68.351864 }, //20 May 2016, UT1-UTC=-0.1678640, Accumulated Leap Seconds=36 + { 2457529.50, 68.353378 }, //21 May 2016, UT1-UTC=-0.1693776, Accumulated Leap Seconds=36 + { 2457530.50, 68.354842 }, //22 May 2016, UT1-UTC=-0.1708417, Accumulated Leap Seconds=36 + { 2457531.50, 68.356305 }, //23 May 2016, UT1-UTC=-0.1723050, Accumulated Leap Seconds=36 + { 2457532.50, 68.357760 }, //24 May 2016, UT1-UTC=-0.1737600, Accumulated Leap Seconds=36 + { 2457533.50, 68.359170 }, //25 May 2016, UT1-UTC=-0.1751700, Accumulated Leap Seconds=36 + { 2457534.50, 68.360536 }, //26 May 2016, UT1-UTC=-0.1765358, Accumulated Leap Seconds=36 + { 2457535.50, 68.361918 }, //27 May 2016, UT1-UTC=-0.1779183, Accumulated Leap Seconds=36 + { 2457536.50, 68.363389 }, //28 May 2016, UT1-UTC=-0.1793894, Accumulated Leap Seconds=36 + { 2457537.50, 68.364976 }, //29 May 2016, UT1-UTC=-0.1809761, Accumulated Leap Seconds=36 + { 2457538.50, 68.366702 }, //30 May 2016, UT1-UTC=-0.1827016, Accumulated Leap Seconds=36 + { 2457539.50, 68.368513 }, //31 May 2016, UT1-UTC=-0.1845129, Accumulated Leap Seconds=36 + { 2457540.50, 68.370356 }, //01 June 2016, UT1-UTC=-0.1863564, Accumulated Leap Seconds=36 + { 2457541.50, 68.372195 }, //02 June 2016, UT1-UTC=-0.1881947, Accumulated Leap Seconds=36 + { 2457542.50, 68.373937 }, //03 June 2016, UT1-UTC=-0.1899367, Accumulated Leap Seconds=36 + { 2457543.50, 68.375490 }, //04 June 2016, UT1-UTC=-0.1914902, Accumulated Leap Seconds=36 + { 2457544.50, 68.376844 }, //05 June 2016, UT1-UTC=-0.1928440, Accumulated Leap Seconds=36 + { 2457545.50, 68.378049 }, //06 June 2016, UT1-UTC=-0.1940489, Accumulated Leap Seconds=36 + { 2457546.50, 68.379150 }, //07 June 2016, UT1-UTC=-0.1951500, Accumulated Leap Seconds=36 + { 2457547.50, 68.380185 }, //08 June 2016, UT1-UTC=-0.1961851, Accumulated Leap Seconds=36 + { 2457548.50, 68.381171 }, //09 June 2016, UT1-UTC=-0.1971713, Accumulated Leap Seconds=36 + { 2457549.50, 68.382113 }, //10 June 2016, UT1-UTC=-0.1981130, Accumulated Leap Seconds=36 + { 2457550.50, 68.383042 }, //11 June 2016, UT1-UTC=-0.1990420, Accumulated Leap Seconds=36 + { 2457551.50, 68.383971 }, //12 June 2016, UT1-UTC=-0.1999712, Accumulated Leap Seconds=36 + { 2457552.50, 68.384860 }, //13 June 2016, UT1-UTC=-0.2008601, Accumulated Leap Seconds=36 + { 2457553.50, 68.385680 }, //14 June 2016, UT1-UTC=-0.2016797, Accumulated Leap Seconds=36 + { 2457554.50, 68.386426 }, //15 June 2016, UT1-UTC=-0.2024261, Accumulated Leap Seconds=36 + { 2457555.50, 68.387061 }, //16 June 2016, UT1-UTC=-0.2030606, Accumulated Leap Seconds=36 + { 2457556.50, 68.387581 }, //17 June 2016, UT1-UTC=-0.2035810, Accumulated Leap Seconds=36 + { 2457557.50, 68.388030 }, //18 June 2016, UT1-UTC=-0.2040299, Accumulated Leap Seconds=36 + { 2457558.50, 68.388359 }, //19 June 2016, UT1-UTC=-0.2043590, Accumulated Leap Seconds=36 + { 2457559.50, 68.388617 }, //20 June 2016, UT1-UTC=-0.2046174, Accumulated Leap Seconds=36 + { 2457560.50, 68.388834 }, //21 June 2016, UT1-UTC=-0.2048343, Accumulated Leap Seconds=36 + { 2457561.50, 68.389081 }, //22 June 2016, UT1-UTC=-0.2050810, Accumulated Leap Seconds=36 + { 2457562.50, 68.389432 }, //23 June 2016, UT1-UTC=-0.2054319, Accumulated Leap Seconds=36 + { 2457563.50, 68.389890 }, //24 June 2016, UT1-UTC=-0.2058903, Accumulated Leap Seconds=36 + { 2457564.50, 68.390513 }, //25 June 2016, UT1-UTC=-0.2065126, Accumulated Leap Seconds=36 + { 2457565.50, 68.391317 }, //26 June 2016, UT1-UTC=-0.2073165, Accumulated Leap Seconds=36 + { 2457566.50, 68.392262 }, //27 June 2016, UT1-UTC=-0.2082620, Accumulated Leap Seconds=36 + { 2457567.50, 68.393307 }, //28 June 2016, UT1-UTC=-0.2093075, Accumulated Leap Seconds=36 + { 2457568.50, 68.394414 }, //29 June 2016, UT1-UTC=-0.2104145, Accumulated Leap Seconds=36 + { 2457569.50, 68.395482 }, //30 June 2016, UT1-UTC=-0.2114824, Accumulated Leap Seconds=36 + { 2457570.50, 68.396436 }, //01 July 2016, UT1-UTC=-0.2124356, Accumulated Leap Seconds=36 + { 2457571.50, 68.397314 }, //02 July 2016, UT1-UTC=-0.2133138, Accumulated Leap Seconds=36 + { 2457572.50, 68.398103 }, //03 July 2016, UT1-UTC=-0.2141035, Accumulated Leap Seconds=36 + { 2457573.50, 68.398752 }, //04 July 2016, UT1-UTC=-0.2147524, Accumulated Leap Seconds=36 + { 2457574.50, 68.399314 }, //05 July 2016, UT1-UTC=-0.2153143, Accumulated Leap Seconds=36 + { 2457575.50, 68.399836 }, //06 July 2016, UT1-UTC=-0.2158356, Accumulated Leap Seconds=36 + { 2457576.50, 68.400348 }, //07 July 2016, UT1-UTC=-0.2163479, Accumulated Leap Seconds=36 + { 2457577.50, 68.400902 }, //08 July 2016, UT1-UTC=-0.2169018, Accumulated Leap Seconds=36 + { 2457578.50, 68.401510 }, //09 July 2016, UT1-UTC=-0.2175095, Accumulated Leap Seconds=36 + { 2457579.50, 68.402145 }, //10 July 2016, UT1-UTC=-0.2181454, Accumulated Leap Seconds=36 + { 2457580.50, 68.402691 }, //11 July 2016, UT1-UTC=-0.2186913, Accumulated Leap Seconds=36 + { 2457581.50, 68.403142 }, //12 July 2016, UT1-UTC=-0.2191422, Accumulated Leap Seconds=36 + { 2457582.50, 68.403541 }, //13 July 2016, UT1-UTC=-0.2195406, Accumulated Leap Seconds=36 + { 2457583.50, 68.403847 }, //14 July 2016, UT1-UTC=-0.2198472, Accumulated Leap Seconds=36 + { 2457584.50, 68.404006 }, //15 July 2016, UT1-UTC=-0.2200059, Accumulated Leap Seconds=36 + { 2457585.50, 68.404047 }, //16 July 2016, UT1-UTC=-0.2200471, Accumulated Leap Seconds=36 + { 2457586.50, 68.404032 }, //17 July 2016, UT1-UTC=-0.2200325, Accumulated Leap Seconds=36 + { 2457587.50, 68.404006 }, //18 July 2016, UT1-UTC=-0.2200059, Accumulated Leap Seconds=36 + { 2457588.50, 68.403998 }, //19 July 2016, UT1-UTC=-0.2199975, Accumulated Leap Seconds=36 + { 2457589.50, 68.404069 }, //20 July 2016, UT1-UTC=-0.2200691, Accumulated Leap Seconds=36 + { 2457590.50, 68.404250 }, //21 July 2016, UT1-UTC=-0.2202501, Accumulated Leap Seconds=36 + { 2457591.50, 68.404554 }, //22 July 2016, UT1-UTC=-0.2205537, Accumulated Leap Seconds=36 + { 2457592.50, 68.404971 }, //23 July 2016, UT1-UTC=-0.2209708, Accumulated Leap Seconds=36 + { 2457593.50, 68.405450 }, //24 July 2016, UT1-UTC=-0.2214499, Accumulated Leap Seconds=36 + { 2457594.50, 68.405995 }, //25 July 2016, UT1-UTC=-0.2219951, Accumulated Leap Seconds=36 + { 2457595.50, 68.406600 }, //26 July 2016, UT1-UTC=-0.2226003, Accumulated Leap Seconds=36 + { 2457596.50, 68.407201 }, //27 July 2016, UT1-UTC=-0.2232010, Accumulated Leap Seconds=36 + { 2457597.50, 68.407760 }, //28 July 2016, UT1-UTC=-0.2237600, Accumulated Leap Seconds=36 + { 2457598.50, 68.408266 }, //29 July 2016, UT1-UTC=-0.2242661, Accumulated Leap Seconds=36 + { 2457599.50, 68.408711 }, //30 July 2016, UT1-UTC=-0.2247111, Accumulated Leap Seconds=36 + { 2457600.50, 68.409098 }, //31 July 2016, UT1-UTC=-0.2250985, Accumulated Leap Seconds=36 + { 2457601.50, 68.409447 }, //01 August 2016, UT1-UTC=-0.2254472, Accumulated Leap Seconds=36 + { 2457602.50, 68.409841 }, //02 August 2016, UT1-UTC=-0.2258411, Accumulated Leap Seconds=36 + { 2457603.50, 68.410339 }, //03 August 2016, UT1-UTC=-0.2263390, Accumulated Leap Seconds=36 + { 2457604.50, 68.410919 }, //04 August 2016, UT1-UTC=-0.2269191, Accumulated Leap Seconds=36 + { 2457605.50, 68.411568 }, //05 August 2016, UT1-UTC=-0.2275676, Accumulated Leap Seconds=36 + { 2457606.50, 68.412255 }, //06 August 2016, UT1-UTC=-0.2282547, Accumulated Leap Seconds=36 + { 2457607.50, 68.412963 }, //07 August 2016, UT1-UTC=-0.2289632, Accumulated Leap Seconds=36 + { 2457608.50, 68.413673 }, //08 August 2016, UT1-UTC=-0.2296730, Accumulated Leap Seconds=36 + { 2457609.50, 68.414366 }, //09 August 2016, UT1-UTC=-0.2303661, Accumulated Leap Seconds=36 + { 2457610.50, 68.415028 }, //10 August 2016, UT1-UTC=-0.2310283, Accumulated Leap Seconds=36 + { 2457611.50, 68.415606 }, //11 August 2016, UT1-UTC=-0.2316058, Accumulated Leap Seconds=36 + { 2457612.50, 68.416082 }, //12 August 2016, UT1-UTC=-0.2320822, Accumulated Leap Seconds=36 + { 2457613.50, 68.416444 }, //13 August 2016, UT1-UTC=-0.2324437, Accumulated Leap Seconds=36 + { 2457614.50, 68.416714 }, //14 August 2016, UT1-UTC=-0.2327144, Accumulated Leap Seconds=36 + { 2457615.50, 68.416975 }, //15 August 2016, UT1-UTC=-0.2329751, Accumulated Leap Seconds=36 + { 2457616.50, 68.417323 }, //16 August 2016, UT1-UTC=-0.2333231, Accumulated Leap Seconds=36 + { 2457617.50, 68.417796 }, //17 August 2016, UT1-UTC=-0.2337959, Accumulated Leap Seconds=36 + { 2457618.50, 68.418410 }, //18 August 2016, UT1-UTC=-0.2344103, Accumulated Leap Seconds=36 + { 2457619.50, 68.419233 }, //19 August 2016, UT1-UTC=-0.2352334, Accumulated Leap Seconds=36 + { 2457620.50, 68.420229 }, //20 August 2016, UT1-UTC=-0.2362291, Accumulated Leap Seconds=36 + { 2457621.50, 68.421322 }, //21 August 2016, UT1-UTC=-0.2373224, Accumulated Leap Seconds=36 + { 2457622.50, 68.422444 }, //22 August 2016, UT1-UTC=-0.2384439, Accumulated Leap Seconds=36 + { 2457623.50, 68.423546 }, //23 August 2016, UT1-UTC=-0.2395462, Accumulated Leap Seconds=36 + { 2457624.50, 68.424574 }, //24 August 2016, UT1-UTC=-0.2405738, Accumulated Leap Seconds=36 + { 2457625.50, 68.425496 }, //25 August 2016, UT1-UTC=-0.2414956, Accumulated Leap Seconds=36 + { 2457626.50, 68.426326 }, //26 August 2016, UT1-UTC=-0.2423264, Accumulated Leap Seconds=36 + { 2457627.50, 68.427064 }, //27 August 2016, UT1-UTC=-0.2430636, Accumulated Leap Seconds=36 + { 2457628.50, 68.427729 }, //28 August 2016, UT1-UTC=-0.2437289, Accumulated Leap Seconds=36 + { 2457629.50, 68.428333 }, //29 August 2016, UT1-UTC=-0.2443330, Accumulated Leap Seconds=36 + { 2457630.50, 68.428960 }, //30 August 2016, UT1-UTC=-0.2449597, Accumulated Leap Seconds=36 + { 2457631.50, 68.429680 }, //31 August 2016, UT1-UTC=-0.2456797, Accumulated Leap Seconds=36 + { 2457632.50, 68.430461 }, //01 September 2016, UT1-UTC=-0.2464611, Accumulated Leap Seconds=36 + { 2457633.50, 68.431292 }, //02 September 2016, UT1-UTC=-0.2472920, Accumulated Leap Seconds=36 + { 2457634.50, 68.432177 }, //03 September 2016, UT1-UTC=-0.2481766, Accumulated Leap Seconds=36 + { 2457635.50, 68.433119 }, //04 September 2016, UT1-UTC=-0.2491189, Accumulated Leap Seconds=36 + { 2457636.50, 68.434086 }, //05 September 2016, UT1-UTC=-0.2500864, Accumulated Leap Seconds=36 + { 2457637.50, 68.435033 }, //06 September 2016, UT1-UTC=-0.2510326, Accumulated Leap Seconds=36 + { 2457638.50, 68.435919 }, //07 September 2016, UT1-UTC=-0.2519190, Accumulated Leap Seconds=36 + { 2457639.50, 68.436746 }, //08 September 2016, UT1-UTC=-0.2527462, Accumulated Leap Seconds=36 + { 2457640.50, 68.437511 }, //09 September 2016, UT1-UTC=-0.2535109, Accumulated Leap Seconds=36 + { 2457641.50, 68.438194 }, //10 September 2016, UT1-UTC=-0.2541938, Accumulated Leap Seconds=36 + { 2457642.50, 68.438892 }, //11 September 2016, UT1-UTC=-0.2548922, Accumulated Leap Seconds=36 + { 2457643.50, 68.439633 }, //12 September 2016, UT1-UTC=-0.2556327, Accumulated Leap Seconds=36 + { 2457644.50, 68.440407 }, //13 September 2016, UT1-UTC=-0.2564073, Accumulated Leap Seconds=36 + { 2457645.50, 68.441238 }, //14 September 2016, UT1-UTC=-0.2572379, Accumulated Leap Seconds=36 + { 2457646.50, 68.442296 }, //15 September 2016, UT1-UTC=-0.2582958, Accumulated Leap Seconds=36 + { 2457647.50, 68.443545 }, //16 September 2016, UT1-UTC=-0.2595455, Accumulated Leap Seconds=36 + { 2457648.50, 68.444937 }, //17 September 2016, UT1-UTC=-0.2609369, Accumulated Leap Seconds=36 + { 2457649.50, 68.446405 }, //18 September 2016, UT1-UTC=-0.2624053, Accumulated Leap Seconds=36 + { 2457650.50, 68.447902 }, //19 September 2016, UT1-UTC=-0.2639019, Accumulated Leap Seconds=36 + { 2457651.50, 68.449366 }, //20 September 2016, UT1-UTC=-0.2653663, Accumulated Leap Seconds=36 + { 2457652.50, 68.450741 }, //21 September 2016, UT1-UTC=-0.2667412, Accumulated Leap Seconds=36 + { 2457653.50, 68.451975 }, //22 September 2016, UT1-UTC=-0.2679749, Accumulated Leap Seconds=36 + { 2457654.50, 68.453108 }, //23 September 2016, UT1-UTC=-0.2691085, Accumulated Leap Seconds=36 + { 2457655.50, 68.454190 }, //24 September 2016, UT1-UTC=-0.2701901, Accumulated Leap Seconds=36 + { 2457656.50, 68.455257 }, //25 September 2016, UT1-UTC=-0.2712571, Accumulated Leap Seconds=36 + { 2457657.50, 68.456385 }, //26 September 2016, UT1-UTC=-0.2723850, Accumulated Leap Seconds=36 + { 2457658.50, 68.457577 }, //27 September 2016, UT1-UTC=-0.2735775, Accumulated Leap Seconds=36 + { 2457659.50, 68.458815 }, //28 September 2016, UT1-UTC=-0.2748146, Accumulated Leap Seconds=36 + { 2457660.50, 68.460150 }, //29 September 2016, UT1-UTC=-0.2761502, Accumulated Leap Seconds=36 + { 2457661.50, 68.461575 }, //30 September 2016, UT1-UTC=-0.2775748, Accumulated Leap Seconds=36 + { 2457662.50, 68.462979 }, //01 October 2016, UT1-UTC=-0.2789791, Accumulated Leap Seconds=36 + { 2457663.50, 68.464340 }, //02 October 2016, UT1-UTC=-0.2803398, Accumulated Leap Seconds=36 + { 2457664.50, 68.465604 }, //03 October 2016, UT1-UTC=-0.2816038, Accumulated Leap Seconds=36 + { 2457665.50, 68.466773 }, //04 October 2016, UT1-UTC=-0.2827729, Accumulated Leap Seconds=36 + { 2457666.50, 68.467889 }, //05 October 2016, UT1-UTC=-0.2838894, Accumulated Leap Seconds=36 + { 2457667.50, 68.468945 }, //06 October 2016, UT1-UTC=-0.2849447, Accumulated Leap Seconds=36 + { 2457668.50, 68.469934 }, //07 October 2016, UT1-UTC=-0.2859339, Accumulated Leap Seconds=36 + { 2457669.50, 68.470900 }, //08 October 2016, UT1-UTC=-0.2869004, Accumulated Leap Seconds=36 + { 2457670.50, 68.471873 }, //09 October 2016, UT1-UTC=-0.2878725, Accumulated Leap Seconds=36 + { 2457671.50, 68.472932 }, //10 October 2016, UT1-UTC=-0.2889315, Accumulated Leap Seconds=36 + { 2457672.50, 68.474151 }, //11 October 2016, UT1-UTC=-0.2901510, Accumulated Leap Seconds=36 + { 2457673.50, 68.475565 }, //12 October 2016, UT1-UTC=-0.2915646, Accumulated Leap Seconds=36 + { 2457674.50, 68.477181 }, //13 October 2016, UT1-UTC=-0.2931808, Accumulated Leap Seconds=36 + { 2457675.50, 68.479011 }, //14 October 2016, UT1-UTC=-0.2950111, Accumulated Leap Seconds=36 + { 2457676.50, 68.481021 }, //15 October 2016, UT1-UTC=-0.2970207, Accumulated Leap Seconds=36 + { 2457677.50, 68.483114 }, //16 October 2016, UT1-UTC=-0.2991143, Accumulated Leap Seconds=36 + { 2457678.50, 68.485174 }, //17 October 2016, UT1-UTC=-0.3011743, Accumulated Leap Seconds=36 + { 2457679.50, 68.487093 }, //18 October 2016, UT1-UTC=-0.3030930, Accumulated Leap Seconds=36 + { 2457680.50, 68.488857 }, //19 October 2016, UT1-UTC=-0.3048574, Accumulated Leap Seconds=36 + { 2457681.50, 68.490461 }, //20 October 2016, UT1-UTC=-0.3064606, Accumulated Leap Seconds=36 + { 2457682.50, 68.491907 }, //21 October 2016, UT1-UTC=-0.3079075, Accumulated Leap Seconds=36 + { 2457683.50, 68.493316 }, //22 October 2016, UT1-UTC=-0.3093158, Accumulated Leap Seconds=36 + { 2457684.50, 68.494745 }, //23 October 2016, UT1-UTC=-0.3107455, Accumulated Leap Seconds=36 + { 2457685.50, 68.496168 }, //24 October 2016, UT1-UTC=-0.3121681, Accumulated Leap Seconds=36 + { 2457686.50, 68.497592 }, //25 October 2016, UT1-UTC=-0.3135924, Accumulated Leap Seconds=36 + { 2457687.50, 68.499065 }, //26 October 2016, UT1-UTC=-0.3150654, Accumulated Leap Seconds=36 + { 2457688.50, 68.500535 }, //27 October 2016, UT1-UTC=-0.3165353, Accumulated Leap Seconds=36 + { 2457689.50, 68.502004 }, //28 October 2016, UT1-UTC=-0.3180035, Accumulated Leap Seconds=36 + { 2457690.50, 68.503498 }, //29 October 2016, UT1-UTC=-0.3194982, Accumulated Leap Seconds=36 + { 2457691.50, 68.504998 }, //30 October 2016, UT1-UTC=-0.3209980, Accumulated Leap Seconds=36 + { 2457692.50, 68.506448 }, //31 October 2016, UT1-UTC=-0.3224484, Accumulated Leap Seconds=36 + { 2457693.50, 68.507818 }, //01 November 2016, UT1-UTC=-0.3238180, Accumulated Leap Seconds=36 + { 2457694.50, 68.509132 }, //02 November 2016, UT1-UTC=-0.3251318, Accumulated Leap Seconds=36 + { 2457695.50, 68.510393 }, //03 November 2016, UT1-UTC=-0.3263927, Accumulated Leap Seconds=36 + { 2457696.50, 68.511625 }, //04 November 2016, UT1-UTC=-0.3276250, Accumulated Leap Seconds=36 + { 2457697.50, 68.512870 }, //05 November 2016, UT1-UTC=-0.3288702, Accumulated Leap Seconds=36 + { 2457698.50, 68.514196 }, //06 November 2016, UT1-UTC=-0.3301963, Accumulated Leap Seconds=36 + { 2457699.50, 68.515672 }, //07 November 2016, UT1-UTC=-0.3316717, Accumulated Leap Seconds=36 + { 2457700.50, 68.517270 }, //08 November 2016, UT1-UTC=-0.3332698, Accumulated Leap Seconds=36 + { 2457701.50, 68.519005 }, //09 November 2016, UT1-UTC=-0.3350051, Accumulated Leap Seconds=36 + { 2457702.50, 68.520901 }, //10 November 2016, UT1-UTC=-0.3369012, Accumulated Leap Seconds=36 + { 2457703.50, 68.522945 }, //11 November 2016, UT1-UTC=-0.3389450, Accumulated Leap Seconds=36 + { 2457704.50, 68.525097 }, //12 November 2016, UT1-UTC=-0.3410974, Accumulated Leap Seconds=36 + { 2457705.50, 68.527236 }, //13 November 2016, UT1-UTC=-0.3432364, Accumulated Leap Seconds=36 + { 2457706.50, 68.529259 }, //14 November 2016, UT1-UTC=-0.3452590, Accumulated Leap Seconds=36 + { 2457707.50, 68.531100 }, //15 November 2016, UT1-UTC=-0.3470999, Accumulated Leap Seconds=36 + { 2457708.50, 68.532693 }, //16 November 2016, UT1-UTC=-0.3486935, Accumulated Leap Seconds=36 + { 2457709.50, 68.534072 }, //17 November 2016, UT1-UTC=-0.3500719, Accumulated Leap Seconds=36 + { 2457710.50, 68.535358 }, //18 November 2016, UT1-UTC=-0.3513579, Accumulated Leap Seconds=36 + { 2457711.50, 68.536624 }, //19 November 2016, UT1-UTC=-0.3526242, Accumulated Leap Seconds=36 + { 2457712.50, 68.537944 }, //20 November 2016, UT1-UTC=-0.3539436, Accumulated Leap Seconds=36 + { 2457713.50, 68.539327 }, //21 November 2016, UT1-UTC=-0.3553270, Accumulated Leap Seconds=36 + { 2457714.50, 68.540807 }, //22 November 2016, UT1-UTC=-0.3568065, Accumulated Leap Seconds=36 + { 2457715.50, 68.542332 }, //23 November 2016, UT1-UTC=-0.3583322, Accumulated Leap Seconds=36 + { 2457716.50, 68.543898 }, //24 November 2016, UT1-UTC=-0.3598979, Accumulated Leap Seconds=36 + { 2457717.50, 68.545480 }, //25 November 2016, UT1-UTC=-0.3614801, Accumulated Leap Seconds=36 + { 2457718.50, 68.547035 }, //26 November 2016, UT1-UTC=-0.3630352, Accumulated Leap Seconds=36 + { 2457719.50, 68.548514 }, //27 November 2016, UT1-UTC=-0.3645141, Accumulated Leap Seconds=36 + { 2457720.50, 68.549904 }, //28 November 2016, UT1-UTC=-0.3659039, Accumulated Leap Seconds=36 + { 2457721.50, 68.551215 }, //29 November 2016, UT1-UTC=-0.3672153, Accumulated Leap Seconds=36 + { 2457722.50, 68.552473 }, //30 November 2016, UT1-UTC=-0.3684730, Accumulated Leap Seconds=36 + { 2457723.50, 68.553702 }, //01 December 2016, UT1-UTC=-0.3697018, Accumulated Leap Seconds=36 + { 2457724.50, 68.554917 }, //02 December 2016, UT1-UTC=-0.3709165, Accumulated Leap Seconds=36 + { 2457725.50, 68.556125 }, //03 December 2016, UT1-UTC=-0.3721246, Accumulated Leap Seconds=36 + { 2457726.50, 68.557334 }, //04 December 2016, UT1-UTC=-0.3733343, Accumulated Leap Seconds=36 + { 2457727.50, 68.558646 }, //05 December 2016, UT1-UTC=-0.3746458, Accumulated Leap Seconds=36 + { 2457728.50, 68.560048 }, //06 December 2016, UT1-UTC=-0.3760479, Accumulated Leap Seconds=36 + { 2457729.50, 68.561547 }, //07 December 2016, UT1-UTC=-0.3775474, Accumulated Leap Seconds=36 + { 2457730.50, 68.563172 }, //08 December 2016, UT1-UTC=-0.3791717, Accumulated Leap Seconds=36 + { 2457731.50, 68.564912 }, //09 December 2016, UT1-UTC=-0.3809123, Accumulated Leap Seconds=36 + { 2457732.50, 68.566729 }, //10 December 2016, UT1-UTC=-0.3827288, Accumulated Leap Seconds=36 + { 2457733.50, 68.568517 }, //11 December 2016, UT1-UTC=-0.3845167, Accumulated Leap Seconds=36 + { 2457734.50, 68.570187 }, //12 December 2016, UT1-UTC=-0.3861868, Accumulated Leap Seconds=36 + { 2457735.50, 68.571701 }, //13 December 2016, UT1-UTC=-0.3877010, Accumulated Leap Seconds=36 + { 2457736.50, 68.573022 }, //14 December 2016, UT1-UTC=-0.3890224, Accumulated Leap Seconds=36 + { 2457737.50, 68.574251 }, //15 December 2016, UT1-UTC=-0.3902508, Accumulated Leap Seconds=36 + { 2457738.50, 68.575491 }, //16 December 2016, UT1-UTC=-0.3914912, Accumulated Leap Seconds=36 + { 2457739.50, 68.576760 }, //17 December 2016, UT1-UTC=-0.3927602, Accumulated Leap Seconds=36 + { 2457740.50, 68.578024 }, //18 December 2016, UT1-UTC=-0.3940241, Accumulated Leap Seconds=36 + { 2457741.50, 68.579282 }, //19 December 2016, UT1-UTC=-0.3952822, Accumulated Leap Seconds=36 + { 2457742.50, 68.580562 }, //20 December 2016, UT1-UTC=-0.3965624, Accumulated Leap Seconds=36 + { 2457743.50, 68.581837 }, //21 December 2016, UT1-UTC=-0.3978370, Accumulated Leap Seconds=36 + { 2457744.50, 68.583102 }, //22 December 2016, UT1-UTC=-0.3991024, Accumulated Leap Seconds=36 + { 2457745.50, 68.584339 }, //23 December 2016, UT1-UTC=-0.4003390, Accumulated Leap Seconds=36 + { 2457746.50, 68.585510 }, //24 December 2016, UT1-UTC=-0.4015098, Accumulated Leap Seconds=36 + { 2457747.50, 68.586582 }, //25 December 2016, UT1-UTC=-0.4025817, Accumulated Leap Seconds=36 + { 2457748.50, 68.587553 }, //26 December 2016, UT1-UTC=-0.4035526, Accumulated Leap Seconds=36 + { 2457749.50, 68.588454 }, //27 December 2016, UT1-UTC=-0.4044543, Accumulated Leap Seconds=36 + { 2457750.50, 68.589285 }, //28 December 2016, UT1-UTC=-0.4052850, Accumulated Leap Seconds=36 + { 2457751.50, 68.590088 }, //29 December 2016, UT1-UTC=-0.4060885, Accumulated Leap Seconds=36 + { 2457752.50, 68.590918 }, //30 December 2016, UT1-UTC=-0.4069180, Accumulated Leap Seconds=36 + { 2457753.50, 68.591760 }, //31 December 2016, UT1-UTC=-0.4077601, Accumulated Leap Seconds=36 + { 2457754.50, 68.592718 }, //01 January 2017, UT1-UTC= 0.5912821, Accumulated Leap Seconds=37 + { 2457755.50, 68.593825 }, //02 January 2017, UT1-UTC= 0.5901752, Accumulated Leap Seconds=37 + { 2457756.50, 68.595059 }, //03 January 2017, UT1-UTC= 0.5889406, Accumulated Leap Seconds=37 + { 2457757.50, 68.596437 }, //04 January 2017, UT1-UTC= 0.5875626, Accumulated Leap Seconds=37 + { 2457758.50, 68.597983 }, //05 January 2017, UT1-UTC= 0.5860173, Accumulated Leap Seconds=37 + { 2457759.50, 68.599574 }, //06 January 2017, UT1-UTC= 0.5844262, Accumulated Leap Seconds=37 + { 2457760.50, 68.601156 }, //07 January 2017, UT1-UTC= 0.5828444, Accumulated Leap Seconds=37 + { 2457761.50, 68.602695 }, //08 January 2017, UT1-UTC= 0.5813054, Accumulated Leap Seconds=37 + { 2457762.50, 68.604148 }, //09 January 2017, UT1-UTC= 0.5798520, Accumulated Leap Seconds=37 + { 2457763.50, 68.605481 }, //10 January 2017, UT1-UTC= 0.5785191, Accumulated Leap Seconds=37 + { 2457764.50, 68.606680 }, //11 January 2017, UT1-UTC= 0.5773203, Accumulated Leap Seconds=37 + { 2457765.50, 68.607842 }, //12 January 2017, UT1-UTC= 0.5761577, Accumulated Leap Seconds=37 + { 2457766.50, 68.609024 }, //13 January 2017, UT1-UTC= 0.5749761, Accumulated Leap Seconds=37 + { 2457767.50, 68.610253 }, //14 January 2017, UT1-UTC= 0.5737466, Accumulated Leap Seconds=37 + { 2457768.50, 68.611561 }, //15 January 2017, UT1-UTC= 0.5724390, Accumulated Leap Seconds=37 + { 2457769.50, 68.612918 }, //16 January 2017, UT1-UTC= 0.5710822, Accumulated Leap Seconds=37 + { 2457770.50, 68.614261 }, //17 January 2017, UT1-UTC= 0.5697394, Accumulated Leap Seconds=37 + { 2457771.50, 68.615526 }, //18 January 2017, UT1-UTC= 0.5684741, Accumulated Leap Seconds=37 + { 2457772.50, 68.616734 }, //19 January 2017, UT1-UTC= 0.5672660, Accumulated Leap Seconds=37 + { 2457773.50, 68.617853 }, //20 January 2017, UT1-UTC= 0.5661469, Accumulated Leap Seconds=37 + { 2457774.50, 68.618924 }, //21 January 2017, UT1-UTC= 0.5650763, Accumulated Leap Seconds=37 + { 2457775.50, 68.619946 }, //22 January 2017, UT1-UTC= 0.5640535, Accumulated Leap Seconds=37 + { 2457776.50, 68.620892 }, //23 January 2017, UT1-UTC= 0.5631082, Accumulated Leap Seconds=37 + { 2457777.50, 68.621742 }, //24 January 2017, UT1-UTC= 0.5622575, Accumulated Leap Seconds=37 + { 2457778.50, 68.622546 }, //25 January 2017, UT1-UTC= 0.5614538, Accumulated Leap Seconds=37 + { 2457779.50, 68.623335 }, //26 January 2017, UT1-UTC= 0.5606647, Accumulated Leap Seconds=37 + { 2457780.50, 68.624133 }, //27 January 2017, UT1-UTC= 0.5598669, Accumulated Leap Seconds=37 + { 2457781.50, 68.625018 }, //28 January 2017, UT1-UTC= 0.5589818, Accumulated Leap Seconds=37 + { 2457782.50, 68.626012 }, //29 January 2017, UT1-UTC= 0.5579876, Accumulated Leap Seconds=37 + { 2457783.50, 68.627160 }, //30 January 2017, UT1-UTC= 0.5568403, Accumulated Leap Seconds=37 + { 2457784.50, 68.628428 }, //31 January 2017, UT1-UTC= 0.5555718, Accumulated Leap Seconds=37 + { 2457785.50, 68.629811 }, //01 February 2017, UT1-UTC= 0.5541893, Accumulated Leap Seconds=37 + { 2457786.50, 68.631265 }, //02 February 2017, UT1-UTC= 0.5527345, Accumulated Leap Seconds=37 + { 2457787.50, 68.632735 }, //03 February 2017, UT1-UTC= 0.5512649, Accumulated Leap Seconds=37 + { 2457788.50, 68.634167 }, //04 February 2017, UT1-UTC= 0.5498326, Accumulated Leap Seconds=37 + { 2457789.50, 68.635528 }, //05 February 2017, UT1-UTC= 0.5484722, Accumulated Leap Seconds=37 + { 2457790.50, 68.636806 }, //06 February 2017, UT1-UTC= 0.5471941, Accumulated Leap Seconds=37 + { 2457791.50, 68.638038 }, //07 February 2017, UT1-UTC= 0.5459615, Accumulated Leap Seconds=37 + { 2457792.50, 68.639224 }, //08 February 2017, UT1-UTC= 0.5447764, Accumulated Leap Seconds=37 + { 2457793.50, 68.640432 }, //09 February 2017, UT1-UTC= 0.5435676, Accumulated Leap Seconds=37 + { 2457794.50, 68.641730 }, //10 February 2017, UT1-UTC= 0.5422695, Accumulated Leap Seconds=37 + { 2457795.50, 68.643141 }, //11 February 2017, UT1-UTC= 0.5408590, Accumulated Leap Seconds=37 + { 2457796.50, 68.644687 }, //12 February 2017, UT1-UTC= 0.5393132, Accumulated Leap Seconds=37 + { 2457797.50, 68.646321 }, //13 February 2017, UT1-UTC= 0.5376793, Accumulated Leap Seconds=37 + { 2457798.50, 68.647998 }, //14 February 2017, UT1-UTC= 0.5360017, Accumulated Leap Seconds=37 + { 2457799.50, 68.649661 }, //15 February 2017, UT1-UTC= 0.5343385, Accumulated Leap Seconds=37 + { 2457800.50, 68.651288 }, //16 February 2017, UT1-UTC= 0.5327118, Accumulated Leap Seconds=37 + { 2457801.50, 68.652810 }, //17 February 2017, UT1-UTC= 0.5311897, Accumulated Leap Seconds=37 + { 2457802.50, 68.654194 }, //18 February 2017, UT1-UTC= 0.5298063, Accumulated Leap Seconds=37 + { 2457803.50, 68.655370 }, //19 February 2017, UT1-UTC= 0.5286304, Accumulated Leap Seconds=37 + { 2457804.50, 68.656415 }, //20 February 2017, UT1-UTC= 0.5275852, Accumulated Leap Seconds=37 + { 2457805.50, 68.657384 }, //21 February 2017, UT1-UTC= 0.5266157, Accumulated Leap Seconds=37 + { 2457806.50, 68.658307 }, //22 February 2017, UT1-UTC= 0.5256930, Accumulated Leap Seconds=37 + { 2457807.50, 68.659248 }, //23 February 2017, UT1-UTC= 0.5247522, Accumulated Leap Seconds=37 + { 2457808.50, 68.660291 }, //24 February 2017, UT1-UTC= 0.5237091, Accumulated Leap Seconds=37 + { 2457809.50, 68.661386 }, //25 February 2017, UT1-UTC= 0.5226139, Accumulated Leap Seconds=37 + { 2457810.50, 68.662600 }, //26 February 2017, UT1-UTC= 0.5214002, Accumulated Leap Seconds=37 + { 2457811.50, 68.663937 }, //27 February 2017, UT1-UTC= 0.5200629, Accumulated Leap Seconds=37 + { 2457812.50, 68.665437 }, //28 February 2017, UT1-UTC= 0.5185628, Accumulated Leap Seconds=37 + { 2457813.50, 68.667063 }, //01 March 2017, UT1-UTC= 0.5169373, Accumulated Leap Seconds=37 + { 2457814.50, 68.668704 }, //02 March 2017, UT1-UTC= 0.5152957, Accumulated Leap Seconds=37 + { 2457815.50, 68.670258 }, //03 March 2017, UT1-UTC= 0.5137419, Accumulated Leap Seconds=37 + { 2457816.50, 68.671729 }, //04 March 2017, UT1-UTC= 0.5122705, Accumulated Leap Seconds=37 + { 2457817.50, 68.673126 }, //05 March 2017, UT1-UTC= 0.5108741, Accumulated Leap Seconds=37 + { 2457818.50, 68.674446 }, //06 March 2017, UT1-UTC= 0.5095544, Accumulated Leap Seconds=37 + { 2457819.50, 68.675676 }, //07 March 2017, UT1-UTC= 0.5083238, Accumulated Leap Seconds=37 + { 2457820.50, 68.676948 }, //08 March 2017, UT1-UTC= 0.5070521, Accumulated Leap Seconds=37 + { 2457821.50, 68.678277 }, //09 March 2017, UT1-UTC= 0.5057233, Accumulated Leap Seconds=37 + { 2457822.50, 68.679677 }, //10 March 2017, UT1-UTC= 0.5043233, Accumulated Leap Seconds=37 + { 2457823.50, 68.681142 }, //11 March 2017, UT1-UTC= 0.5028581, Accumulated Leap Seconds=37 + { 2457824.50, 68.682698 }, //12 March 2017, UT1-UTC= 0.5013018, Accumulated Leap Seconds=37 + { 2457825.50, 68.684332 }, //13 March 2017, UT1-UTC= 0.4996678, Accumulated Leap Seconds=37 + { 2457826.50, 68.686034 }, //14 March 2017, UT1-UTC= 0.4979656, Accumulated Leap Seconds=37 + { 2457827.50, 68.687687 }, //15 March 2017, UT1-UTC= 0.4963128, Accumulated Leap Seconds=37 + { 2457828.50, 68.689212 }, //16 March 2017, UT1-UTC= 0.4947876, Accumulated Leap Seconds=37 + { 2457829.50, 68.690600 }, //17 March 2017, UT1-UTC= 0.4933998, Accumulated Leap Seconds=37 + { 2457830.50, 68.691880 }, //18 March 2017, UT1-UTC= 0.4921200, Accumulated Leap Seconds=37 + { 2457831.50, 68.693068 }, //19 March 2017, UT1-UTC= 0.4909323, Accumulated Leap Seconds=37 + { 2457832.50, 68.694196 }, //20 March 2017, UT1-UTC= 0.4898042, Accumulated Leap Seconds=37 + { 2457833.50, 68.695335 }, //21 March 2017, UT1-UTC= 0.4886648, Accumulated Leap Seconds=37 + { 2457834.50, 68.696501 }, //22 March 2017, UT1-UTC= 0.4874986, Accumulated Leap Seconds=37 + { 2457835.50, 68.697761 }, //23 March 2017, UT1-UTC= 0.4862389, Accumulated Leap Seconds=37 + { 2457836.50, 68.699156 }, //24 March 2017, UT1-UTC= 0.4848439, Accumulated Leap Seconds=37 + { 2457837.50, 68.700628 }, //25 March 2017, UT1-UTC= 0.4833715, Accumulated Leap Seconds=37 + { 2457838.50, 68.702286 }, //26 March 2017, UT1-UTC= 0.4817144, Accumulated Leap Seconds=37 + { 2457839.50, 68.704104 }, //27 March 2017, UT1-UTC= 0.4798964, Accumulated Leap Seconds=37 + { 2457840.50, 68.706011 }, //28 March 2017, UT1-UTC= 0.4779892, Accumulated Leap Seconds=37 + { 2457841.50, 68.707993 }, //29 March 2017, UT1-UTC= 0.4760074, Accumulated Leap Seconds=37 + { 2457842.50, 68.709973 }, //30 March 2017, UT1-UTC= 0.4740274, Accumulated Leap Seconds=37 + { 2457843.50, 68.711823 }, //31 March 2017, UT1-UTC= 0.4721774, Accumulated Leap Seconds=37 + { 2457844.50, 68.713521 }, //01 April 2017, UT1-UTC= 0.4704792, Accumulated Leap Seconds=37 + { 2457845.50, 68.715091 }, //02 April 2017, UT1-UTC= 0.4689092, Accumulated Leap Seconds=37 + { 2457846.50, 68.716517 }, //03 April 2017, UT1-UTC= 0.4674833, Accumulated Leap Seconds=37 + { 2457847.50, 68.717849 }, //04 April 2017, UT1-UTC= 0.4661513, Accumulated Leap Seconds=37 + { 2457848.50, 68.719194 }, //05 April 2017, UT1-UTC= 0.4648063, Accumulated Leap Seconds=37 + { 2457849.50, 68.720565 }, //06 April 2017, UT1-UTC= 0.4634347, Accumulated Leap Seconds=37 + { 2457850.50, 68.722085 }, //07 April 2017, UT1-UTC= 0.4619147, Accumulated Leap Seconds=37 + { 2457851.50, 68.723697 }, //08 April 2017, UT1-UTC= 0.4603031, Accumulated Leap Seconds=37 + { 2457852.50, 68.725370 }, //09 April 2017, UT1-UTC= 0.4586299, Accumulated Leap Seconds=37 + { 2457853.50, 68.727018 }, //10 April 2017, UT1-UTC= 0.4569819, Accumulated Leap Seconds=37 + { 2457854.50, 68.728594 }, //11 April 2017, UT1-UTC= 0.4554060, Accumulated Leap Seconds=37 + { 2457855.50, 68.730153 }, //12 April 2017, UT1-UTC= 0.4538469, Accumulated Leap Seconds=37 + { 2457856.50, 68.731741 }, //13 April 2017, UT1-UTC= 0.4522586, Accumulated Leap Seconds=37 + { 2457857.50, 68.733300 }, //14 April 2017, UT1-UTC= 0.4506998, Accumulated Leap Seconds=37 + { 2457858.50, 68.734784 }, //15 April 2017, UT1-UTC= 0.4492158, Accumulated Leap Seconds=37 + { 2457859.50, 68.736201 }, //16 April 2017, UT1-UTC= 0.4477989, Accumulated Leap Seconds=37 + { 2457860.50, 68.737639 }, //17 April 2017, UT1-UTC= 0.4463615, Accumulated Leap Seconds=37 + { 2457861.50, 68.739108 }, //18 April 2017, UT1-UTC= 0.4448916, Accumulated Leap Seconds=37 + { 2457862.50, 68.740589 }, //19 April 2017, UT1-UTC= 0.4434115, Accumulated Leap Seconds=37 + { 2457863.50, 68.742097 }, //20 April 2017, UT1-UTC= 0.4419032, Accumulated Leap Seconds=37 + { 2457864.50, 68.743643 }, //21 April 2017, UT1-UTC= 0.4403567, Accumulated Leap Seconds=37 + { 2457865.50, 68.745365 }, //22 April 2017, UT1-UTC= 0.4386346, Accumulated Leap Seconds=37 + { 2457866.50, 68.747271 }, //23 April 2017, UT1-UTC= 0.4367286, Accumulated Leap Seconds=37 + { 2457867.50, 68.749353 }, //24 April 2017, UT1-UTC= 0.4346468, Accumulated Leap Seconds=37 + { 2457868.50, 68.751541 }, //25 April 2017, UT1-UTC= 0.4324586, Accumulated Leap Seconds=37 + { 2457869.50, 68.753736 }, //26 April 2017, UT1-UTC= 0.4302640, Accumulated Leap Seconds=37 + { 2457870.50, 68.755863 }, //27 April 2017, UT1-UTC= 0.4281367, Accumulated Leap Seconds=37 + { 2457871.50, 68.757748 }, //28 April 2017, UT1-UTC= 0.4262524, Accumulated Leap Seconds=37 + { 2457872.50, 68.759411 }, //29 April 2017, UT1-UTC= 0.4245890, Accumulated Leap Seconds=37 + { 2457873.50, 68.760885 }, //30 April 2017, UT1-UTC= 0.4231149, Accumulated Leap Seconds=37 + { 2457874.50, 68.762276 }, //01 May 2017, UT1-UTC= 0.4217245, Accumulated Leap Seconds=37 + { 2457875.50, 68.763656 }, //02 May 2017, UT1-UTC= 0.4203435, Accumulated Leap Seconds=37 + { 2457876.50, 68.765036 }, //03 May 2017, UT1-UTC= 0.4189635, Accumulated Leap Seconds=37 + { 2457877.50, 68.766421 }, //04 May 2017, UT1-UTC= 0.4175785, Accumulated Leap Seconds=37 + { 2457878.50, 68.767888 }, //05 May 2017, UT1-UTC= 0.4161125, Accumulated Leap Seconds=37 + { 2457879.50, 68.769459 }, //06 May 2017, UT1-UTC= 0.4145406, Accumulated Leap Seconds=37 + { 2457880.50, 68.771091 }, //07 May 2017, UT1-UTC= 0.4129087, Accumulated Leap Seconds=37 + { 2457881.50, 68.772664 }, //08 May 2017, UT1-UTC= 0.4113358, Accumulated Leap Seconds=37 + { 2457882.50, 68.774072 }, //09 May 2017, UT1-UTC= 0.4099284, Accumulated Leap Seconds=37 + { 2457883.50, 68.775419 }, //10 May 2017, UT1-UTC= 0.4085807, Accumulated Leap Seconds=37 + { 2457884.50, 68.776704 }, //11 May 2017, UT1-UTC= 0.4072957, Accumulated Leap Seconds=37 + { 2457885.50, 68.777903 }, //12 May 2017, UT1-UTC= 0.4060969, Accumulated Leap Seconds=37 + { 2457886.50, 68.779012 }, //13 May 2017, UT1-UTC= 0.4049881, Accumulated Leap Seconds=37 + { 2457887.50, 68.780062 }, //14 May 2017, UT1-UTC= 0.4039375, Accumulated Leap Seconds=37 + { 2457888.50, 68.781040 }, //15 May 2017, UT1-UTC= 0.4029604, Accumulated Leap Seconds=37 + { 2457889.50, 68.782005 }, //16 May 2017, UT1-UTC= 0.4019948, Accumulated Leap Seconds=37 + { 2457890.50, 68.783079 }, //17 May 2017, UT1-UTC= 0.4009211, Accumulated Leap Seconds=37 + { 2457891.50, 68.784223 }, //18 May 2017, UT1-UTC= 0.3997768, Accumulated Leap Seconds=37 + { 2457892.50, 68.785427 }, //19 May 2017, UT1-UTC= 0.3985733, Accumulated Leap Seconds=37 + { 2457893.50, 68.786718 }, //20 May 2017, UT1-UTC= 0.3972820, Accumulated Leap Seconds=37 + { 2457894.50, 68.788141 }, //21 May 2017, UT1-UTC= 0.3958587, Accumulated Leap Seconds=37 + { 2457895.50, 68.789706 }, //22 May 2017, UT1-UTC= 0.3942937, Accumulated Leap Seconds=37 + { 2457896.50, 68.791368 }, //23 May 2017, UT1-UTC= 0.3926322, Accumulated Leap Seconds=37 + { 2457897.50, 68.793067 }, //24 May 2017, UT1-UTC= 0.3909326, Accumulated Leap Seconds=37 + { 2457898.50, 68.794689 }, //25 May 2017, UT1-UTC= 0.3893107, Accumulated Leap Seconds=37 + { 2457899.50, 68.796166 }, //26 May 2017, UT1-UTC= 0.3878337, Accumulated Leap Seconds=37 + { 2457900.50, 68.797462 }, //27 May 2017, UT1-UTC= 0.3865379, Accumulated Leap Seconds=37 + { 2457901.50, 68.798559 }, //28 May 2017, UT1-UTC= 0.3854409, Accumulated Leap Seconds=37 + { 2457902.50, 68.799612 }, //29 May 2017, UT1-UTC= 0.3843881, Accumulated Leap Seconds=37 + { 2457903.50, 68.800745 }, //30 May 2017, UT1-UTC= 0.3832551, Accumulated Leap Seconds=37 + { 2457904.50, 68.801966 }, //31 May 2017, UT1-UTC= 0.3820342, Accumulated Leap Seconds=37 + { 2457905.50, 68.803284 }, //01 June 2017, UT1-UTC= 0.3807157, Accumulated Leap Seconds=37 + { 2457906.50, 68.804654 }, //02 June 2017, UT1-UTC= 0.3793461, Accumulated Leap Seconds=37 + { 2457907.50, 68.806024 }, //03 June 2017, UT1-UTC= 0.3779760, Accumulated Leap Seconds=37 + { 2457908.50, 68.807318 }, //04 June 2017, UT1-UTC= 0.3766818, Accumulated Leap Seconds=37 + { 2457909.50, 68.808520 }, //05 June 2017, UT1-UTC= 0.3754796, Accumulated Leap Seconds=37 + { 2457910.50, 68.809633 }, //06 June 2017, UT1-UTC= 0.3743671, Accumulated Leap Seconds=37 + { 2457911.50, 68.810615 }, //07 June 2017, UT1-UTC= 0.3733854, Accumulated Leap Seconds=37 + { 2457912.50, 68.811409 }, //08 June 2017, UT1-UTC= 0.3725906, Accumulated Leap Seconds=37 + { 2457913.50, 68.812050 }, //09 June 2017, UT1-UTC= 0.3719500, Accumulated Leap Seconds=37 + { 2457914.50, 68.812542 }, //10 June 2017, UT1-UTC= 0.3714582, Accumulated Leap Seconds=37 + { 2457915.50, 68.812959 }, //11 June 2017, UT1-UTC= 0.3710412, Accumulated Leap Seconds=37 + { 2457916.50, 68.813367 }, //12 June 2017, UT1-UTC= 0.3706325, Accumulated Leap Seconds=37 + { 2457917.50, 68.813740 }, //13 June 2017, UT1-UTC= 0.3702599, Accumulated Leap Seconds=37 + { 2457918.50, 68.814135 }, //14 June 2017, UT1-UTC= 0.3698652, Accumulated Leap Seconds=37 + { 2457919.50, 68.814639 }, //15 June 2017, UT1-UTC= 0.3693614, Accumulated Leap Seconds=37 + { 2457920.50, 68.815255 }, //16 June 2017, UT1-UTC= 0.3687448, Accumulated Leap Seconds=37 + { 2457921.50, 68.815924 }, //17 June 2017, UT1-UTC= 0.3680758, Accumulated Leap Seconds=37 + { 2457922.50, 68.816716 }, //18 June 2017, UT1-UTC= 0.3672843, Accumulated Leap Seconds=37 + { 2457923.50, 68.817533 }, //19 June 2017, UT1-UTC= 0.3664668, Accumulated Leap Seconds=37 + { 2457924.50, 68.818327 }, //20 June 2017, UT1-UTC= 0.3656730, Accumulated Leap Seconds=37 + { 2457925.50, 68.819183 }, //21 June 2017, UT1-UTC= 0.3648167, Accumulated Leap Seconds=37 + { 2457926.50, 68.819896 }, //22 June 2017, UT1-UTC= 0.3641044, Accumulated Leap Seconds=37 + { 2457927.50, 68.820462 }, //23 June 2017, UT1-UTC= 0.3635383, Accumulated Leap Seconds=37 + { 2457928.50, 68.820892 }, //24 June 2017, UT1-UTC= 0.3631081, Accumulated Leap Seconds=37 + { 2457929.50, 68.821293 }, //25 June 2017, UT1-UTC= 0.3627069, Accumulated Leap Seconds=37 + { 2457930.50, 68.821713 }, //26 June 2017, UT1-UTC= 0.3622868, Accumulated Leap Seconds=37 + { 2457931.50, 68.822198 }, //27 June 2017, UT1-UTC= 0.3618024, Accumulated Leap Seconds=37 + { 2457932.50, 68.822764 }, //28 June 2017, UT1-UTC= 0.3612356, Accumulated Leap Seconds=37 + { 2457933.50, 68.823357 }, //29 June 2017, UT1-UTC= 0.3606428, Accumulated Leap Seconds=37 + { 2457934.50, 68.823927 }, //30 June 2017, UT1-UTC= 0.3600727, Accumulated Leap Seconds=37 + { 2457935.50, 68.824484 }, //01 July 2017, UT1-UTC= 0.3595162, Accumulated Leap Seconds=37 + { 2457936.50, 68.825069 }, //02 July 2017, UT1-UTC= 0.3589314, Accumulated Leap Seconds=37 + { 2457937.50, 68.825574 }, //03 July 2017, UT1-UTC= 0.3584260, Accumulated Leap Seconds=37 + { 2457938.50, 68.825907 }, //04 July 2017, UT1-UTC= 0.3580926, Accumulated Leap Seconds=37 + { 2457939.50, 68.826149 }, //05 July 2017, UT1-UTC= 0.3578507, Accumulated Leap Seconds=37 + { 2457940.50, 68.826320 }, //06 July 2017, UT1-UTC= 0.3576795, Accumulated Leap Seconds=37 + { 2457941.50, 68.826411 }, //07 July 2017, UT1-UTC= 0.3575894, Accumulated Leap Seconds=37 + { 2457942.50, 68.826493 }, //08 July 2017, UT1-UTC= 0.3575071, Accumulated Leap Seconds=37 + { 2457943.50, 68.826575 }, //09 July 2017, UT1-UTC= 0.3574252, Accumulated Leap Seconds=37 + { 2457944.50, 68.826667 }, //10 July 2017, UT1-UTC= 0.3573335, Accumulated Leap Seconds=37 + { 2457945.50, 68.826847 }, //11 July 2017, UT1-UTC= 0.3571525, Accumulated Leap Seconds=37 + { 2457946.50, 68.827202 }, //12 July 2017, UT1-UTC= 0.3567985, Accumulated Leap Seconds=37 + { 2457947.50, 68.827660 }, //13 July 2017, UT1-UTC= 0.3563397, Accumulated Leap Seconds=37 + { 2457948.50, 68.828225 }, //14 July 2017, UT1-UTC= 0.3557750, Accumulated Leap Seconds=37 + { 2457949.50, 68.828867 }, //15 July 2017, UT1-UTC= 0.3551328, Accumulated Leap Seconds=37 + { 2457950.50, 68.829489 }, //16 July 2017, UT1-UTC= 0.3545113, Accumulated Leap Seconds=37 + { 2457951.50, 68.830066 }, //17 July 2017, UT1-UTC= 0.3539339, Accumulated Leap Seconds=37 + { 2457952.50, 68.830613 }, //18 July 2017, UT1-UTC= 0.3533869, Accumulated Leap Seconds=37 + { 2457953.50, 68.831130 }, //19 July 2017, UT1-UTC= 0.3528699, Accumulated Leap Seconds=37 + { 2457954.50, 68.831524 }, //20 July 2017, UT1-UTC= 0.3524756, Accumulated Leap Seconds=37 + { 2457955.50, 68.831902 }, //21 July 2017, UT1-UTC= 0.3520979, Accumulated Leap Seconds=37 + { 2457956.50, 68.832215 }, //22 July 2017, UT1-UTC= 0.3517853, Accumulated Leap Seconds=37 + { 2457957.50, 68.832494 }, //23 July 2017, UT1-UTC= 0.3515060, Accumulated Leap Seconds=37 + { 2457958.50, 68.832810 }, //24 July 2017, UT1-UTC= 0.3511897, Accumulated Leap Seconds=37 + { 2457959.50, 68.833223 }, //25 July 2017, UT1-UTC= 0.3507771, Accumulated Leap Seconds=37 + { 2457960.50, 68.833773 }, //26 July 2017, UT1-UTC= 0.3502269, Accumulated Leap Seconds=37 + { 2457961.50, 68.834445 }, //27 July 2017, UT1-UTC= 0.3495550, Accumulated Leap Seconds=37 + { 2457962.50, 68.835168 }, //28 July 2017, UT1-UTC= 0.3488315, Accumulated Leap Seconds=37 + { 2457963.50, 68.835839 }, //29 July 2017, UT1-UTC= 0.3481606, Accumulated Leap Seconds=37 + { 2457964.50, 68.836470 }, //30 July 2017, UT1-UTC= 0.3475298, Accumulated Leap Seconds=37 + { 2457965.50, 68.836981 }, //31 July 2017, UT1-UTC= 0.3470191, Accumulated Leap Seconds=37 + { 2457966.50, 68.837343 }, //01 August 2017, UT1-UTC= 0.3466573, Accumulated Leap Seconds=37 + { 2457967.50, 68.837582 }, //02 August 2017, UT1-UTC= 0.3464176, Accumulated Leap Seconds=37 + { 2457968.50, 68.837721 }, //03 August 2017, UT1-UTC= 0.3462795, Accumulated Leap Seconds=37 + { 2457969.50, 68.837793 }, //04 August 2017, UT1-UTC= 0.3462068, Accumulated Leap Seconds=37 + { 2457970.50, 68.837869 }, //05 August 2017, UT1-UTC= 0.3461313, Accumulated Leap Seconds=37 + { 2457971.50, 68.838012 }, //06 August 2017, UT1-UTC= 0.3459884, Accumulated Leap Seconds=37 + { 2457972.50, 68.838146 }, //07 August 2017, UT1-UTC= 0.3458541, Accumulated Leap Seconds=37 + { 2457973.50, 68.838366 }, //08 August 2017, UT1-UTC= 0.3456339, Accumulated Leap Seconds=37 + { 2457974.50, 68.838709 }, //09 August 2017, UT1-UTC= 0.3452908, Accumulated Leap Seconds=37 + { 2457975.50, 68.839188 }, //10 August 2017, UT1-UTC= 0.3448115, Accumulated Leap Seconds=37 + { 2457976.50, 68.839819 }, //11 August 2017, UT1-UTC= 0.3441808, Accumulated Leap Seconds=37 + { 2457977.50, 68.840514 }, //12 August 2017, UT1-UTC= 0.3434856, Accumulated Leap Seconds=37 + { 2457978.50, 68.841189 }, //13 August 2017, UT1-UTC= 0.3428105, Accumulated Leap Seconds=37 + { 2457979.50, 68.841817 }, //14 August 2017, UT1-UTC= 0.3421832, Accumulated Leap Seconds=37 + { 2457980.50, 68.842343 }, //15 August 2017, UT1-UTC= 0.3416571, Accumulated Leap Seconds=37 + { 2457981.50, 68.842763 }, //16 August 2017, UT1-UTC= 0.3412370, Accumulated Leap Seconds=37 + { 2457982.50, 68.843064 }, //17 August 2017, UT1-UTC= 0.3409361, Accumulated Leap Seconds=37 + { 2457983.50, 68.843259 }, //18 August 2017, UT1-UTC= 0.3407410, Accumulated Leap Seconds=37 + { 2457984.50, 68.843481 }, //19 August 2017, UT1-UTC= 0.3405194, Accumulated Leap Seconds=37 + { 2457985.50, 68.843696 }, //20 August 2017, UT1-UTC= 0.3403042, Accumulated Leap Seconds=37 + { 2457986.50, 68.844032 }, //21 August 2017, UT1-UTC= 0.3399683, Accumulated Leap Seconds=37 + { 2457987.50, 68.844509 }, //22 August 2017, UT1-UTC= 0.3394911, Accumulated Leap Seconds=37 + { 2457988.50, 68.845011 }, //23 August 2017, UT1-UTC= 0.3389885, Accumulated Leap Seconds=37 + { 2457989.50, 68.845517 }, //24 August 2017, UT1-UTC= 0.3384825, Accumulated Leap Seconds=37 + { 2457990.50, 68.846092 }, //25 August 2017, UT1-UTC= 0.3379082, Accumulated Leap Seconds=37 + { 2457991.50, 68.846569 }, //26 August 2017, UT1-UTC= 0.3374314, Accumulated Leap Seconds=37 + { 2457992.50, 68.846934 }, //27 August 2017, UT1-UTC= 0.3370656, Accumulated Leap Seconds=37 + { 2457993.50, 68.847199 }, //28 August 2017, UT1-UTC= 0.3368008, Accumulated Leap Seconds=37 + { 2457994.50, 68.847403 }, //29 August 2017, UT1-UTC= 0.3365967, Accumulated Leap Seconds=37 + { 2457995.50, 68.847535 }, //30 August 2017, UT1-UTC= 0.3364652, Accumulated Leap Seconds=37 + { 2457996.50, 68.847593 }, //31 August 2017, UT1-UTC= 0.3364071, Accumulated Leap Seconds=37 + { 2457997.50, 68.847693 }, //01 September 2017, UT1-UTC= 0.3363070, Accumulated Leap Seconds=37 + { 2457998.50, 68.847817 }, //02 September 2017, UT1-UTC= 0.3361832, Accumulated Leap Seconds=37 + { 2457999.50, 68.847980 }, //03 September 2017, UT1-UTC= 0.3360197, Accumulated Leap Seconds=37 + { 2458000.50, 68.848208 }, //04 September 2017, UT1-UTC= 0.3357915, Accumulated Leap Seconds=37 + { 2458001.50, 68.848596 }, //05 September 2017, UT1-UTC= 0.3354041, Accumulated Leap Seconds=37 + { 2458002.50, 68.849182 }, //06 September 2017, UT1-UTC= 0.3348184, Accumulated Leap Seconds=37 + { 2458003.50, 68.849945 }, //07 September 2017, UT1-UTC= 0.3340548, Accumulated Leap Seconds=37 + { 2458004.50, 68.850826 }, //08 September 2017, UT1-UTC= 0.3331740, Accumulated Leap Seconds=37 + { 2458005.50, 68.851774 }, //09 September 2017, UT1-UTC= 0.3322264, Accumulated Leap Seconds=37 + { 2458006.50, 68.852732 }, //10 September 2017, UT1-UTC= 0.3312681, Accumulated Leap Seconds=37 + { 2458007.50, 68.853624 }, //11 September 2017, UT1-UTC= 0.3303762, Accumulated Leap Seconds=37 + { 2458008.50, 68.854430 }, //12 September 2017, UT1-UTC= 0.3295699, Accumulated Leap Seconds=37 + { 2458009.50, 68.855107 }, //13 September 2017, UT1-UTC= 0.3288928, Accumulated Leap Seconds=37 + { 2458010.50, 68.855706 }, //14 September 2017, UT1-UTC= 0.3282938, Accumulated Leap Seconds=37 + { 2458011.50, 68.856287 }, //15 September 2017, UT1-UTC= 0.3277127, Accumulated Leap Seconds=37 + { 2458012.50, 68.856875 }, //16 September 2017, UT1-UTC= 0.3271251, Accumulated Leap Seconds=37 + { 2458013.50, 68.857630 }, //17 September 2017, UT1-UTC= 0.3263704, Accumulated Leap Seconds=37 + { 2458014.50, 68.858548 }, //18 September 2017, UT1-UTC= 0.3254522, Accumulated Leap Seconds=37 + { 2458015.50, 68.859618 }, //19 September 2017, UT1-UTC= 0.3243822, Accumulated Leap Seconds=37 + { 2458016.50, 68.860730 }, //20 September 2017, UT1-UTC= 0.3232700, Accumulated Leap Seconds=37 + { 2458017.50, 68.861822 }, //21 September 2017, UT1-UTC= 0.3221784, Accumulated Leap Seconds=37 + { 2458018.50, 68.862893 }, //22 September 2017, UT1-UTC= 0.3211066, Accumulated Leap Seconds=37 + { 2458019.50, 68.863852 }, //23 September 2017, UT1-UTC= 0.3201480, Accumulated Leap Seconds=37 + { 2458020.50, 68.864705 }, //24 September 2017, UT1-UTC= 0.3192947, Accumulated Leap Seconds=37 + { 2458021.50, 68.865421 }, //25 September 2017, UT1-UTC= 0.3185789, Accumulated Leap Seconds=37 + { 2458022.50, 68.865994 }, //26 September 2017, UT1-UTC= 0.3180063, Accumulated Leap Seconds=37 + { 2458023.50, 68.866520 }, //27 September 2017, UT1-UTC= 0.3174801, Accumulated Leap Seconds=37 + { 2458024.50, 68.867028 }, //28 September 2017, UT1-UTC= 0.3169719, Accumulated Leap Seconds=37 + { 2458025.50, 68.867612 }, //29 September 2017, UT1-UTC= 0.3163884, Accumulated Leap Seconds=37 + { 2458026.50, 68.868212 }, //30 September 2017, UT1-UTC= 0.3157875, Accumulated Leap Seconds=37 + { 2458027.50, 68.868857 }, //01 October 2017, UT1-UTC= 0.3151433, Accumulated Leap Seconds=37 + { 2458028.50, 68.869496 }, //02 October 2017, UT1-UTC= 0.3145042, Accumulated Leap Seconds=37 + { 2458029.50, 68.870245 }, //03 October 2017, UT1-UTC= 0.3137553, Accumulated Leap Seconds=37 + { 2458030.50, 68.871120 }, //04 October 2017, UT1-UTC= 0.3128801, Accumulated Leap Seconds=37 + { 2458031.50, 68.872153 }, //05 October 2017, UT1-UTC= 0.3118472, Accumulated Leap Seconds=37 + { 2458032.50, 68.873297 }, //06 October 2017, UT1-UTC= 0.3107030, Accumulated Leap Seconds=37 + { 2458033.50, 68.874454 }, //07 October 2017, UT1-UTC= 0.3095458, Accumulated Leap Seconds=37 + { 2458034.50, 68.875597 }, //08 October 2017, UT1-UTC= 0.3084027, Accumulated Leap Seconds=37 + { 2458035.50, 68.876633 }, //09 October 2017, UT1-UTC= 0.3073670, Accumulated Leap Seconds=37 + { 2458036.50, 68.877532 }, //10 October 2017, UT1-UTC= 0.3064679, Accumulated Leap Seconds=37 + { 2458037.50, 68.878313 }, //11 October 2017, UT1-UTC= 0.3056873, Accumulated Leap Seconds=37 + { 2458038.50, 68.879059 }, //12 October 2017, UT1-UTC= 0.3049414, Accumulated Leap Seconds=37 + { 2458039.50, 68.879822 }, //13 October 2017, UT1-UTC= 0.3041776, Accumulated Leap Seconds=37 + { 2458040.50, 68.880696 }, //14 October 2017, UT1-UTC= 0.3033042, Accumulated Leap Seconds=37 + { 2458041.50, 68.881669 }, //15 October 2017, UT1-UTC= 0.3023310, Accumulated Leap Seconds=37 + { 2458042.50, 68.882781 }, //16 October 2017, UT1-UTC= 0.3012194, Accumulated Leap Seconds=37 + { 2458043.50, 68.884059 }, //17 October 2017, UT1-UTC= 0.2999410, Accumulated Leap Seconds=37 + { 2458044.50, 68.885421 }, //18 October 2017, UT1-UTC= 0.2985785, Accumulated Leap Seconds=37 + { 2458045.50, 68.886810 }, //19 October 2017, UT1-UTC= 0.2971898, Accumulated Leap Seconds=37 + { 2458046.50, 68.888184 }, //20 October 2017, UT1-UTC= 0.2958162, Accumulated Leap Seconds=37 + { 2458047.50, 68.889454 }, //21 October 2017, UT1-UTC= 0.2945455, Accumulated Leap Seconds=37 + { 2458048.50, 68.890622 }, //22 October 2017, UT1-UTC= 0.2933783, Accumulated Leap Seconds=37 + { 2458049.50, 68.891731 }, //23 October 2017, UT1-UTC= 0.2922689, Accumulated Leap Seconds=37 + { 2458050.50, 68.892701 }, //24 October 2017, UT1-UTC= 0.2912988, Accumulated Leap Seconds=37 + { 2458051.50, 68.893554 }, //25 October 2017, UT1-UTC= 0.2904457, Accumulated Leap Seconds=37 + { 2458052.50, 68.894378 }, //26 October 2017, UT1-UTC= 0.2896225, Accumulated Leap Seconds=37 + { 2458053.50, 68.895205 }, //27 October 2017, UT1-UTC= 0.2887951, Accumulated Leap Seconds=37 + { 2458054.50, 68.896058 }, //28 October 2017, UT1-UTC= 0.2879423, Accumulated Leap Seconds=37 + { 2458055.50, 68.897006 }, //29 October 2017, UT1-UTC= 0.2869943, Accumulated Leap Seconds=37 + { 2458056.50, 68.898078 }, //30 October 2017, UT1-UTC= 0.2859215, Accumulated Leap Seconds=37 + { 2458057.50, 68.899244 }, //31 October 2017, UT1-UTC= 0.2847563, Accumulated Leap Seconds=37 + { 2458058.50, 68.900581 }, //01 November 2017, UT1-UTC= 0.2834186, Accumulated Leap Seconds=37 + { 2458059.50, 68.902026 }, //02 November 2017, UT1-UTC= 0.2819741, Accumulated Leap Seconds=37 + { 2458060.50, 68.903557 }, //03 November 2017, UT1-UTC= 0.2804434, Accumulated Leap Seconds=37 + { 2458061.50, 68.905108 }, //04 November 2017, UT1-UTC= 0.2788916, Accumulated Leap Seconds=37 + { 2458062.50, 68.906572 }, //05 November 2017, UT1-UTC= 0.2774282, Accumulated Leap Seconds=37 + { 2458063.50, 68.907886 }, //06 November 2017, UT1-UTC= 0.2761141, Accumulated Leap Seconds=37 + { 2458064.50, 68.909041 }, //07 November 2017, UT1-UTC= 0.2749591, Accumulated Leap Seconds=37 + { 2458065.50, 68.910083 }, //08 November 2017, UT1-UTC= 0.2739175, Accumulated Leap Seconds=37 + { 2458066.50, 68.911145 }, //09 November 2017, UT1-UTC= 0.2728553, Accumulated Leap Seconds=37 + { 2458067.50, 68.912245 }, //10 November 2017, UT1-UTC= 0.2717553, Accumulated Leap Seconds=37 + { 2458068.50, 68.913435 }, //11 November 2017, UT1-UTC= 0.2705650, Accumulated Leap Seconds=37 + { 2458069.50, 68.914751 }, //12 November 2017, UT1-UTC= 0.2692491, Accumulated Leap Seconds=37 + { 2458070.50, 68.916183 }, //13 November 2017, UT1-UTC= 0.2678169, Accumulated Leap Seconds=37 + { 2458071.50, 68.917687 }, //14 November 2017, UT1-UTC= 0.2663129, Accumulated Leap Seconds=37 + { 2458072.50, 68.919178 }, //15 November 2017, UT1-UTC= 0.2648225, Accumulated Leap Seconds=37 + { 2458073.50, 68.920585 }, //16 November 2017, UT1-UTC= 0.2634146, Accumulated Leap Seconds=37 + { 2458074.50, 68.921854 }, //17 November 2017, UT1-UTC= 0.2621456, Accumulated Leap Seconds=37 + { 2458075.50, 68.923007 }, //18 November 2017, UT1-UTC= 0.2609930, Accumulated Leap Seconds=37 + { 2458076.50, 68.924045 }, //19 November 2017, UT1-UTC= 0.2599548, Accumulated Leap Seconds=37 + { 2458077.50, 68.924905 }, //20 November 2017, UT1-UTC= 0.2590952, Accumulated Leap Seconds=37 + { 2458078.50, 68.925597 }, //21 November 2017, UT1-UTC= 0.2584030, Accumulated Leap Seconds=37 + { 2458079.50, 68.926228 }, //22 November 2017, UT1-UTC= 0.2577722, Accumulated Leap Seconds=37 + { 2458080.50, 68.926872 }, //23 November 2017, UT1-UTC= 0.2571279, Accumulated Leap Seconds=37 + { 2458081.50, 68.927557 }, //24 November 2017, UT1-UTC= 0.2564427, Accumulated Leap Seconds=37 + { 2458082.50, 68.928282 }, //25 November 2017, UT1-UTC= 0.2557184, Accumulated Leap Seconds=37 + { 2458083.50, 68.929059 }, //26 November 2017, UT1-UTC= 0.2549406, Accumulated Leap Seconds=37 + { 2458084.50, 68.930007 }, //27 November 2017, UT1-UTC= 0.2539932, Accumulated Leap Seconds=37 + { 2458085.50, 68.931165 }, //28 November 2017, UT1-UTC= 0.2528346, Accumulated Leap Seconds=37 + { 2458086.50, 68.932520 }, //29 November 2017, UT1-UTC= 0.2514797, Accumulated Leap Seconds=37 + { 2458087.50, 68.933985 }, //30 November 2017, UT1-UTC= 0.2500151, Accumulated Leap Seconds=37 + { 2458088.50, 68.935500 }, //01 December 2017, UT1-UTC= 0.2485001, Accumulated Leap Seconds=37 + { 2458089.50, 68.937030 }, //02 December 2017, UT1-UTC= 0.2469699, Accumulated Leap Seconds=37 + { 2458090.50, 68.938438 }, //03 December 2017, UT1-UTC= 0.2455622, Accumulated Leap Seconds=37 + { 2458091.50, 68.939722 }, //04 December 2017, UT1-UTC= 0.2442778, Accumulated Leap Seconds=37 + { 2458092.50, 68.940928 }, //05 December 2017, UT1-UTC= 0.2430722, Accumulated Leap Seconds=37 + { 2458093.50, 68.942121 }, //06 December 2017, UT1-UTC= 0.2418790, Accumulated Leap Seconds=37 + { 2458094.50, 68.943344 }, //07 December 2017, UT1-UTC= 0.2406564, Accumulated Leap Seconds=37 + { 2458095.50, 68.944612 }, //08 December 2017, UT1-UTC= 0.2393884, Accumulated Leap Seconds=37 + { 2458096.50, 68.945951 }, //09 December 2017, UT1-UTC= 0.2380494, Accumulated Leap Seconds=37 + { 2458097.50, 68.947386 }, //10 December 2017, UT1-UTC= 0.2366137, Accumulated Leap Seconds=37 + { 2458098.50, 68.948849 }, //11 December 2017, UT1-UTC= 0.2351508, Accumulated Leap Seconds=37 + { 2458099.50, 68.950273 }, //12 December 2017, UT1-UTC= 0.2337272, Accumulated Leap Seconds=37 + { 2458100.50, 68.951614 }, //13 December 2017, UT1-UTC= 0.2323861, Accumulated Leap Seconds=37 + { 2458101.50, 68.952816 }, //14 December 2017, UT1-UTC= 0.2311842, Accumulated Leap Seconds=37 + { 2458102.50, 68.953864 }, //15 December 2017, UT1-UTC= 0.2301356, Accumulated Leap Seconds=37 + { 2458103.50, 68.954709 }, //16 December 2017, UT1-UTC= 0.2292912, Accumulated Leap Seconds=37 + { 2458104.50, 68.955432 }, //17 December 2017, UT1-UTC= 0.2285676, Accumulated Leap Seconds=37 + { 2458105.50, 68.956059 }, //18 December 2017, UT1-UTC= 0.2279407, Accumulated Leap Seconds=37 + { 2458106.50, 68.956584 }, //19 December 2017, UT1-UTC= 0.2274163, Accumulated Leap Seconds=37 + { 2458107.50, 68.957087 }, //20 December 2017, UT1-UTC= 0.2269129, Accumulated Leap Seconds=37 + { 2458108.50, 68.957637 }, //21 December 2017, UT1-UTC= 0.2263633, Accumulated Leap Seconds=37 + { 2458109.50, 68.958177 }, //22 December 2017, UT1-UTC= 0.2258234, Accumulated Leap Seconds=37 + { 2458110.50, 68.958770 }, //23 December 2017, UT1-UTC= 0.2252297, Accumulated Leap Seconds=37 + { 2458111.50, 68.959513 }, //24 December 2017, UT1-UTC= 0.2244866, Accumulated Leap Seconds=37 + { 2458112.50, 68.960378 }, //25 December 2017, UT1-UTC= 0.2236216, Accumulated Leap Seconds=37 + { 2458113.50, 68.961335 }, //26 December 2017, UT1-UTC= 0.2226648, Accumulated Leap Seconds=37 + { 2458114.50, 68.962398 }, //27 December 2017, UT1-UTC= 0.2216024, Accumulated Leap Seconds=37 + { 2458115.50, 68.963543 }, //28 December 2017, UT1-UTC= 0.2204568, Accumulated Leap Seconds=37 + { 2458116.50, 68.964692 }, //29 December 2017, UT1-UTC= 0.2193082, Accumulated Leap Seconds=37 + { 2458117.50, 68.965756 }, //30 December 2017, UT1-UTC= 0.2182443, Accumulated Leap Seconds=37 + { 2458118.50, 68.966760 }, //31 December 2017, UT1-UTC= 0.2172403, Accumulated Leap Seconds=37 + { 2458119.50, 68.967642 }, //01 January 2018, UT1-UTC= 0.2163577, Accumulated Leap Seconds=37 + { 2458120.50, 68.968413 }, //02 January 2018, UT1-UTC= 0.2155874, Accumulated Leap Seconds=37 + { 2458121.50, 68.969139 }, //03 January 2018, UT1-UTC= 0.2148609, Accumulated Leap Seconds=37 + { 2458122.50, 68.969947 }, //04 January 2018, UT1-UTC= 0.2140527, Accumulated Leap Seconds=37 + { 2458123.50, 68.970812 }, //05 January 2018, UT1-UTC= 0.2131882, Accumulated Leap Seconds=37 + { 2458124.50, 68.971710 }, //06 January 2018, UT1-UTC= 0.2122898, Accumulated Leap Seconds=37 + { 2458125.50, 68.972574 }, //07 January 2018, UT1-UTC= 0.2114257, Accumulated Leap Seconds=37 + { 2458126.50, 68.973405 }, //08 January 2018, UT1-UTC= 0.2105948, Accumulated Leap Seconds=37 + { 2458127.50, 68.974090 }, //09 January 2018, UT1-UTC= 0.2099097, Accumulated Leap Seconds=37 + { 2458128.50, 68.974653 }, //10 January 2018, UT1-UTC= 0.2093470, Accumulated Leap Seconds=37 + { 2458129.50, 68.975094 }, //11 January 2018, UT1-UTC= 0.2089056, Accumulated Leap Seconds=37 + { 2458130.50, 68.975485 }, //12 January 2018, UT1-UTC= 0.2085151, Accumulated Leap Seconds=37 + { 2458131.50, 68.975720 }, //13 January 2018, UT1-UTC= 0.2082798, Accumulated Leap Seconds=37 + { 2458132.50, 68.975825 }, //14 January 2018, UT1-UTC= 0.2081755, Accumulated Leap Seconds=37 + { 2458133.50, 68.975902 }, //15 January 2018, UT1-UTC= 0.2080984, Accumulated Leap Seconds=37 + { 2458134.50, 68.975923 }, //16 January 2018, UT1-UTC= 0.2080772, Accumulated Leap Seconds=37 + { 2458135.50, 68.976025 }, //17 January 2018, UT1-UTC= 0.2079746, Accumulated Leap Seconds=37 + { 2458136.50, 68.976168 }, //18 January 2018, UT1-UTC= 0.2078316, Accumulated Leap Seconds=37 + { 2458137.50, 68.976353 }, //19 January 2018, UT1-UTC= 0.2076469, Accumulated Leap Seconds=37 + { 2458138.50, 68.976688 }, //20 January 2018, UT1-UTC= 0.2073123, Accumulated Leap Seconds=37 + { 2458139.50, 68.977206 }, //21 January 2018, UT1-UTC= 0.2067940, Accumulated Leap Seconds=37 + { 2458140.50, 68.977884 }, //22 January 2018, UT1-UTC= 0.2061160, Accumulated Leap Seconds=37 + { 2458141.50, 68.978686 }, //23 January 2018, UT1-UTC= 0.2053143, Accumulated Leap Seconds=37 + { 2458142.50, 68.979603 }, //24 January 2018, UT1-UTC= 0.2043973, Accumulated Leap Seconds=37 + { 2458143.50, 68.980560 }, //25 January 2018, UT1-UTC= 0.2034402, Accumulated Leap Seconds=37 + { 2458144.50, 68.981568 }, //26 January 2018, UT1-UTC= 0.2024318, Accumulated Leap Seconds=37 + { 2458145.50, 68.982530 }, //27 January 2018, UT1-UTC= 0.2014701, Accumulated Leap Seconds=37 + { 2458146.50, 68.983422 }, //28 January 2018, UT1-UTC= 0.2005783, Accumulated Leap Seconds=37 + { 2458147.50, 68.984313 }, //29 January 2018, UT1-UTC= 0.1996865, Accumulated Leap Seconds=37 + { 2458148.50, 68.985243 }, //30 January 2018, UT1-UTC= 0.1987569, Accumulated Leap Seconds=37 + { 2458149.50, 68.986326 }, //31 January 2018, UT1-UTC= 0.1976740, Accumulated Leap Seconds=37 + { 2458150.50, 68.987535 }, //01 February 2018, UT1-UTC= 0.1964646, Accumulated Leap Seconds=37 + { 2458151.50, 68.988918 }, //02 February 2018, UT1-UTC= 0.1950819, Accumulated Leap Seconds=37 + { 2458152.50, 68.990502 }, //03 February 2018, UT1-UTC= 0.1934980, Accumulated Leap Seconds=37 + { 2458153.50, 68.992183 }, //04 February 2018, UT1-UTC= 0.1918172, Accumulated Leap Seconds=37 + { 2458154.50, 68.993858 }, //05 February 2018, UT1-UTC= 0.1901421, Accumulated Leap Seconds=37 + { 2458155.50, 68.995434 }, //06 February 2018, UT1-UTC= 0.1885659, Accumulated Leap Seconds=37 + { 2458156.50, 68.996846 }, //07 February 2018, UT1-UTC= 0.1871541, Accumulated Leap Seconds=37 + { 2458157.50, 68.998106 }, //08 February 2018, UT1-UTC= 0.1858940, Accumulated Leap Seconds=37 + { 2458158.50, 68.999198 }, //09 February 2018, UT1-UTC= 0.1848016, Accumulated Leap Seconds=37 + { 2458159.50, 69.000087 }, //10 February 2018, UT1-UTC= 0.1839131, Accumulated Leap Seconds=37 + { 2458160.50, 69.000860 }, //11 February 2018, UT1-UTC= 0.1831397, Accumulated Leap Seconds=37 + { 2458161.50, 69.001614 }, //12 February 2018, UT1-UTC= 0.1823862, Accumulated Leap Seconds=37 + { 2458162.50, 69.002368 }, //13 February 2018, UT1-UTC= 0.1816316, Accumulated Leap Seconds=37 + { 2458163.50, 69.003141 }, //14 February 2018, UT1-UTC= 0.1808591, Accumulated Leap Seconds=37 + { 2458164.50, 69.003964 }, //15 February 2018, UT1-UTC= 0.1800361, Accumulated Leap Seconds=37 + { 2458165.50, 69.004848 }, //16 February 2018, UT1-UTC= 0.1791523, Accumulated Leap Seconds=37 + { 2458166.50, 69.005821 }, //17 February 2018, UT1-UTC= 0.1781794, Accumulated Leap Seconds=37 + { 2458167.50, 69.006882 }, //18 February 2018, UT1-UTC= 0.1771176, Accumulated Leap Seconds=37 + { 2458168.50, 69.008023 }, //19 February 2018, UT1-UTC= 0.1759766, Accumulated Leap Seconds=37 + { 2458169.50, 69.009194 }, //20 February 2018, UT1-UTC= 0.1748059, Accumulated Leap Seconds=37 + { 2458170.50, 69.010340 }, //21 February 2018, UT1-UTC= 0.1736605, Accumulated Leap Seconds=37 + { 2458171.50, 69.011436 }, //22 February 2018, UT1-UTC= 0.1725641, Accumulated Leap Seconds=37 + { 2458172.50, 69.012460 }, //23 February 2018, UT1-UTC= 0.1715396, Accumulated Leap Seconds=37 + { 2458173.50, 69.013364 }, //24 February 2018, UT1-UTC= 0.1706360, Accumulated Leap Seconds=37 + { 2458174.50, 69.014173 }, //25 February 2018, UT1-UTC= 0.1698271, Accumulated Leap Seconds=37 + { 2458175.50, 69.014951 }, //26 February 2018, UT1-UTC= 0.1690487, Accumulated Leap Seconds=37 + { 2458176.50, 69.015752 }, //27 February 2018, UT1-UTC= 0.1682480, Accumulated Leap Seconds=37 + { 2458177.50, 69.016597 }, //28 February 2018, UT1-UTC= 0.1674030, Accumulated Leap Seconds=37 + { 2458178.50, 69.017553 }, //01 March 2018, UT1-UTC= 0.1664473, Accumulated Leap Seconds=37 + { 2458179.50, 69.018708 }, //02 March 2018, UT1-UTC= 0.1652916, Accumulated Leap Seconds=37 + { 2458180.50, 69.019973 }, //03 March 2018, UT1-UTC= 0.1640270, Accumulated Leap Seconds=37 + { 2458181.50, 69.021213 }, //04 March 2018, UT1-UTC= 0.1627874, Accumulated Leap Seconds=37 + { 2458182.50, 69.022421 }, //05 March 2018, UT1-UTC= 0.1615785, Accumulated Leap Seconds=37 + { 2458183.50, 69.023516 }, //06 March 2018, UT1-UTC= 0.1604839, Accumulated Leap Seconds=37 + { 2458184.50, 69.024459 }, //07 March 2018, UT1-UTC= 0.1595412, Accumulated Leap Seconds=37 + { 2458185.50, 69.025363 }, //08 March 2018, UT1-UTC= 0.1586365, Accumulated Leap Seconds=37 + { 2458186.50, 69.026175 }, //09 March 2018, UT1-UTC= 0.1578251, Accumulated Leap Seconds=37 + { 2458187.50, 69.026889 }, //10 March 2018, UT1-UTC= 0.1571114, Accumulated Leap Seconds=37 + { 2458188.50, 69.027573 }, //11 March 2018, UT1-UTC= 0.1564273, Accumulated Leap Seconds=37 + { 2458189.50, 69.028270 }, //12 March 2018, UT1-UTC= 0.1557302, Accumulated Leap Seconds=37 + { 2458190.50, 69.029028 }, //13 March 2018, UT1-UTC= 0.1549723, Accumulated Leap Seconds=37 + { 2458191.50, 69.029855 }, //14 March 2018, UT1-UTC= 0.1541452, Accumulated Leap Seconds=37 + { 2458192.50, 69.030758 }, //15 March 2018, UT1-UTC= 0.1532421, Accumulated Leap Seconds=37 + { 2458193.50, 69.031755 }, //16 March 2018, UT1-UTC= 0.1522448, Accumulated Leap Seconds=37 + { 2458194.50, 69.032834 }, //17 March 2018, UT1-UTC= 0.1511656, Accumulated Leap Seconds=37 + { 2458195.50, 69.033973 }, //18 March 2018, UT1-UTC= 0.1500269, Accumulated Leap Seconds=37 + { 2458196.50, 69.035171 }, //19 March 2018, UT1-UTC= 0.1488290, Accumulated Leap Seconds=37 + { 2458197.50, 69.036413 }, //20 March 2018, UT1-UTC= 0.1475874, Accumulated Leap Seconds=37 + { 2458198.50, 69.037652 }, //21 March 2018, UT1-UTC= 0.1463478, Accumulated Leap Seconds=37 + { 2458199.50, 69.038843 }, //22 March 2018, UT1-UTC= 0.1451572, Accumulated Leap Seconds=37 + { 2458200.50, 69.039935 }, //23 March 2018, UT1-UTC= 0.1440653, Accumulated Leap Seconds=37 + { 2458201.50, 69.040898 }, //24 March 2018, UT1-UTC= 0.1431017, Accumulated Leap Seconds=37 + { 2458202.50, 69.041767 }, //25 March 2018, UT1-UTC= 0.1422333, Accumulated Leap Seconds=37 + { 2458203.50, 69.042619 }, //26 March 2018, UT1-UTC= 0.1413808, Accumulated Leap Seconds=37 + { 2458204.50, 69.043582 }, //27 March 2018, UT1-UTC= 0.1404181, Accumulated Leap Seconds=37 + { 2458205.50, 69.044663 }, //28 March 2018, UT1-UTC= 0.1393369, Accumulated Leap Seconds=37 + { 2458206.50, 69.045850 }, //29 March 2018, UT1-UTC= 0.1381503, Accumulated Leap Seconds=37 + { 2458207.50, 69.047130 }, //30 March 2018, UT1-UTC= 0.1368700, Accumulated Leap Seconds=37 + { 2458208.50, 69.048520 }, //31 March 2018, UT1-UTC= 0.1354801, Accumulated Leap Seconds=37 + { 2458209.50, 69.049908 }, //01 April 2018, UT1-UTC= 0.1340919, Accumulated Leap Seconds=37 + { 2458210.50, 69.051236 }, //02 April 2018, UT1-UTC= 0.1327638, Accumulated Leap Seconds=37 + { 2458211.50, 69.052452 }, //03 April 2018, UT1-UTC= 0.1315479, Accumulated Leap Seconds=37 + { 2458212.50, 69.053507 }, //04 April 2018, UT1-UTC= 0.1304933, Accumulated Leap Seconds=37 + { 2458213.50, 69.054383 }, //05 April 2018, UT1-UTC= 0.1296169, Accumulated Leap Seconds=37 + { 2458214.50, 69.055133 }, //06 April 2018, UT1-UTC= 0.1288673, Accumulated Leap Seconds=37 + { 2458215.50, 69.055818 }, //07 April 2018, UT1-UTC= 0.1281820, Accumulated Leap Seconds=37 + { 2458216.50, 69.056474 }, //08 April 2018, UT1-UTC= 0.1275261, Accumulated Leap Seconds=37 + { 2458217.50, 69.057135 }, //09 April 2018, UT1-UTC= 0.1268650, Accumulated Leap Seconds=37 + { 2458218.50, 69.057816 }, //10 April 2018, UT1-UTC= 0.1261843, Accumulated Leap Seconds=37 + { 2458219.50, 69.058516 }, //11 April 2018, UT1-UTC= 0.1254843, Accumulated Leap Seconds=37 + { 2458220.50, 69.059311 }, //12 April 2018, UT1-UTC= 0.1246885, Accumulated Leap Seconds=37 + { 2458221.50, 69.060235 }, //13 April 2018, UT1-UTC= 0.1237648, Accumulated Leap Seconds=37 + { 2458222.50, 69.061272 }, //14 April 2018, UT1-UTC= 0.1227279, Accumulated Leap Seconds=37 + { 2458223.50, 69.062448 }, //15 April 2018, UT1-UTC= 0.1215516, Accumulated Leap Seconds=37 + { 2458224.50, 69.063778 }, //16 April 2018, UT1-UTC= 0.1202219, Accumulated Leap Seconds=37 + { 2458225.50, 69.065141 }, //17 April 2018, UT1-UTC= 0.1188591, Accumulated Leap Seconds=37 + { 2458226.50, 69.066398 }, //18 April 2018, UT1-UTC= 0.1176018, Accumulated Leap Seconds=37 + { 2458227.50, 69.067509 }, //19 April 2018, UT1-UTC= 0.1164911, Accumulated Leap Seconds=37 + { 2458228.50, 69.068540 }, //20 April 2018, UT1-UTC= 0.1154595, Accumulated Leap Seconds=37 + { 2458229.50, 69.069499 }, //21 April 2018, UT1-UTC= 0.1145009, Accumulated Leap Seconds=37 + { 2458230.50, 69.070458 }, //22 April 2018, UT1-UTC= 0.1135425, Accumulated Leap Seconds=37 + { 2458231.50, 69.071466 }, //23 April 2018, UT1-UTC= 0.1125337, Accumulated Leap Seconds=37 + { 2458232.50, 69.072602 }, //24 April 2018, UT1-UTC= 0.1113982, Accumulated Leap Seconds=37 + { 2458233.50, 69.073921 }, //25 April 2018, UT1-UTC= 0.1100794, Accumulated Leap Seconds=37 + { 2458234.50, 69.075347 }, //26 April 2018, UT1-UTC= 0.1086530, Accumulated Leap Seconds=37 + { 2458235.50, 69.076855 }, //27 April 2018, UT1-UTC= 0.1071446, Accumulated Leap Seconds=37 + { 2458236.50, 69.078382 }, //28 April 2018, UT1-UTC= 0.1056176, Accumulated Leap Seconds=37 + { 2458237.50, 69.079872 }, //29 April 2018, UT1-UTC= 0.1041281, Accumulated Leap Seconds=37 + { 2458238.50, 69.081182 }, //30 April 2018, UT1-UTC= 0.1028179, Accumulated Leap Seconds=37 + { 2458239.50, 69.082343 }, //01 May 2018, UT1-UTC= 0.1016567, Accumulated Leap Seconds=37 + { 2458240.50, 69.083377 }, //02 May 2018, UT1-UTC= 0.1006233, Accumulated Leap Seconds=37 + { 2458241.50, 69.084265 }, //03 May 2018, UT1-UTC= 0.0997347, Accumulated Leap Seconds=37 + { 2458242.50, 69.085023 }, //04 May 2018, UT1-UTC= 0.0989771, Accumulated Leap Seconds=37 + { 2458243.50, 69.085713 }, //05 May 2018, UT1-UTC= 0.0982874, Accumulated Leap Seconds=37 + { 2458244.50, 69.086382 }, //06 May 2018, UT1-UTC= 0.0976177, Accumulated Leap Seconds=37 + { 2458245.50, 69.087030 }, //07 May 2018, UT1-UTC= 0.0969698, Accumulated Leap Seconds=37 + { 2458246.50, 69.087705 }, //08 May 2018, UT1-UTC= 0.0962955, Accumulated Leap Seconds=37 + { 2458247.50, 69.088479 }, //09 May 2018, UT1-UTC= 0.0955205, Accumulated Leap Seconds=37 + { 2458248.50, 69.089367 }, //10 May 2018, UT1-UTC= 0.0946331, Accumulated Leap Seconds=37 + { 2458249.50, 69.090314 }, //11 May 2018, UT1-UTC= 0.0936859, Accumulated Leap Seconds=37 + { 2458250.50, 69.091343 }, //12 May 2018, UT1-UTC= 0.0926566, Accumulated Leap Seconds=37 + { 2458251.50, 69.092474 }, //13 May 2018, UT1-UTC= 0.0915264, Accumulated Leap Seconds=37 + { 2458252.50, 69.093573 }, //14 May 2018, UT1-UTC= 0.0904266, Accumulated Leap Seconds=37 + { 2458253.50, 69.094593 }, //15 May 2018, UT1-UTC= 0.0894075, Accumulated Leap Seconds=37 + { 2458254.50, 69.095463 }, //16 May 2018, UT1-UTC= 0.0885366, Accumulated Leap Seconds=37 + { 2458255.50, 69.096171 }, //17 May 2018, UT1-UTC= 0.0878291, Accumulated Leap Seconds=37 + { 2458256.50, 69.096802 }, //18 May 2018, UT1-UTC= 0.0871981, Accumulated Leap Seconds=37 + { 2458257.50, 69.097345 }, //19 May 2018, UT1-UTC= 0.0866552, Accumulated Leap Seconds=37 + { 2458258.50, 69.097936 }, //20 May 2018, UT1-UTC= 0.0860637, Accumulated Leap Seconds=37 + { 2458259.50, 69.098575 }, //21 May 2018, UT1-UTC= 0.0854250, Accumulated Leap Seconds=37 + { 2458260.50, 69.099340 }, //22 May 2018, UT1-UTC= 0.0846600, Accumulated Leap Seconds=37 + { 2458261.50, 69.100272 }, //23 May 2018, UT1-UTC= 0.0837281, Accumulated Leap Seconds=37 + { 2458262.50, 69.101310 }, //24 May 2018, UT1-UTC= 0.0826900, Accumulated Leap Seconds=37 + { 2458263.50, 69.102354 }, //25 May 2018, UT1-UTC= 0.0816457, Accumulated Leap Seconds=37 + { 2458264.50, 69.103350 }, //26 May 2018, UT1-UTC= 0.0806496, Accumulated Leap Seconds=37 + { 2458265.50, 69.104300 }, //27 May 2018, UT1-UTC= 0.0797000, Accumulated Leap Seconds=37 + { 2458266.50, 69.105162 }, //28 May 2018, UT1-UTC= 0.0788383, Accumulated Leap Seconds=37 + { 2458267.50, 69.105830 }, //29 May 2018, UT1-UTC= 0.0781702, Accumulated Leap Seconds=37 + { 2458268.50, 69.106303 }, //30 May 2018, UT1-UTC= 0.0776965, Accumulated Leap Seconds=37 + { 2458269.50, 69.106670 }, //31 May 2018, UT1-UTC= 0.0773296, Accumulated Leap Seconds=37 + { 2458270.50, 69.107003 }, //01 June 2018, UT1-UTC= 0.0769966, Accumulated Leap Seconds=37 + { 2458271.50, 69.107292 }, //02 June 2018, UT1-UTC= 0.0767081, Accumulated Leap Seconds=37 + { 2458272.50, 69.107605 }, //03 June 2018, UT1-UTC= 0.0763948, Accumulated Leap Seconds=37 + { 2458273.50, 69.107954 }, //04 June 2018, UT1-UTC= 0.0760462, Accumulated Leap Seconds=37 + { 2458274.50, 69.108390 }, //05 June 2018, UT1-UTC= 0.0756097, Accumulated Leap Seconds=37 + { 2458275.50, 69.108891 }, //06 June 2018, UT1-UTC= 0.0751095, Accumulated Leap Seconds=37 + { 2458276.50, 69.109508 }, //07 June 2018, UT1-UTC= 0.0744923, Accumulated Leap Seconds=37 + { 2458277.50, 69.110218 }, //08 June 2018, UT1-UTC= 0.0737824, Accumulated Leap Seconds=37 + { 2458278.50, 69.111012 }, //09 June 2018, UT1-UTC= 0.0729877, Accumulated Leap Seconds=37 + { 2458279.50, 69.111894 }, //10 June 2018, UT1-UTC= 0.0721058, Accumulated Leap Seconds=37 + { 2458280.50, 69.112734 }, //11 June 2018, UT1-UTC= 0.0712665, Accumulated Leap Seconds=37 + { 2458281.50, 69.113445 }, //12 June 2018, UT1-UTC= 0.0705547, Accumulated Leap Seconds=37 + { 2458282.50, 69.114002 }, //13 June 2018, UT1-UTC= 0.0699977, Accumulated Leap Seconds=37 + { 2458283.50, 69.114408 }, //14 June 2018, UT1-UTC= 0.0695920, Accumulated Leap Seconds=37 + { 2458284.50, 69.114683 }, //15 June 2018, UT1-UTC= 0.0693172, Accumulated Leap Seconds=37 + { 2458285.50, 69.114886 }, //16 June 2018, UT1-UTC= 0.0691140, Accumulated Leap Seconds=37 + { 2458286.50, 69.115113 }, //17 June 2018, UT1-UTC= 0.0688867, Accumulated Leap Seconds=37 + { 2458287.50, 69.115394 }, //18 June 2018, UT1-UTC= 0.0686057, Accumulated Leap Seconds=37 + { 2458288.50, 69.115781 }, //19 June 2018, UT1-UTC= 0.0682192, Accumulated Leap Seconds=37 + { 2458289.50, 69.116242 }, //20 June 2018, UT1-UTC= 0.0677580, Accumulated Leap Seconds=37 + { 2458290.50, 69.116675 }, //21 June 2018, UT1-UTC= 0.0673250, Accumulated Leap Seconds=37 + { 2458291.50, 69.116998 }, //22 June 2018, UT1-UTC= 0.0670016, Accumulated Leap Seconds=37 + { 2458292.50, 69.117156 }, //23 June 2018, UT1-UTC= 0.0668439, Accumulated Leap Seconds=37 + { 2458293.50, 69.117124 }, //24 June 2018, UT1-UTC= 0.0668756, Accumulated Leap Seconds=37 + { 2458294.50, 69.116874 }, //25 June 2018, UT1-UTC= 0.0671262, Accumulated Leap Seconds=37 + { 2458295.50, 69.116473 }, //26 June 2018, UT1-UTC= 0.0675266, Accumulated Leap Seconds=37 + { 2458296.50, 69.115908 }, //27 June 2018, UT1-UTC= 0.0680923, Accumulated Leap Seconds=37 + { 2458297.50, 69.115273 }, //28 June 2018, UT1-UTC= 0.0687270, Accumulated Leap Seconds=37 + { 2458298.50, 69.114672 }, //29 June 2018, UT1-UTC= 0.0693284, Accumulated Leap Seconds=37 + { 2458299.50, 69.114035 }, //30 June 2018, UT1-UTC= 0.0699649, Accumulated Leap Seconds=37 + { 2458300.50, 69.113403 }, //01 July 2018, UT1-UTC= 0.0705973, Accumulated Leap Seconds=37 + { 2458301.50, 69.112818 }, //02 July 2018, UT1-UTC= 0.0711817, Accumulated Leap Seconds=37 + { 2458302.50, 69.112321 }, //03 July 2018, UT1-UTC= 0.0716793, Accumulated Leap Seconds=37 + { 2458303.50, 69.111947 }, //04 July 2018, UT1-UTC= 0.0720528, Accumulated Leap Seconds=37 + { 2458304.50, 69.111700 }, //05 July 2018, UT1-UTC= 0.0723000, Accumulated Leap Seconds=37 + { 2458305.50, 69.111632 }, //06 July 2018, UT1-UTC= 0.0723675, Accumulated Leap Seconds=37 + { 2458306.50, 69.111681 }, //07 July 2018, UT1-UTC= 0.0723193, Accumulated Leap Seconds=37 + { 2458307.50, 69.111802 }, //08 July 2018, UT1-UTC= 0.0721982, Accumulated Leap Seconds=37 + { 2458308.50, 69.111966 }, //09 July 2018, UT1-UTC= 0.0720344, Accumulated Leap Seconds=37 + { 2458309.50, 69.112111 }, //10 July 2018, UT1-UTC= 0.0718895, Accumulated Leap Seconds=37 + { 2458310.50, 69.112226 }, //11 July 2018, UT1-UTC= 0.0717743, Accumulated Leap Seconds=37 + { 2458311.50, 69.112260 }, //12 July 2018, UT1-UTC= 0.0717395, Accumulated Leap Seconds=37 + { 2458312.50, 69.112221 }, //13 July 2018, UT1-UTC= 0.0717787, Accumulated Leap Seconds=37 + { 2458313.50, 69.112212 }, //14 July 2018, UT1-UTC= 0.0717883, Accumulated Leap Seconds=37 + { 2458314.50, 69.112313 }, //15 July 2018, UT1-UTC= 0.0716867, Accumulated Leap Seconds=37 + { 2458315.50, 69.112588 }, //16 July 2018, UT1-UTC= 0.0714123, Accumulated Leap Seconds=37 + { 2458316.50, 69.113022 }, //17 July 2018, UT1-UTC= 0.0709782, Accumulated Leap Seconds=37 + { 2458317.50, 69.113554 }, //18 July 2018, UT1-UTC= 0.0704463, Accumulated Leap Seconds=37 + { 2458318.50, 69.114098 }, //19 July 2018, UT1-UTC= 0.0699020, Accumulated Leap Seconds=37 + { 2458319.50, 69.114549 }, //20 July 2018, UT1-UTC= 0.0694513, Accumulated Leap Seconds=37 + { 2458320.50, 69.114838 }, //21 July 2018, UT1-UTC= 0.0691622, Accumulated Leap Seconds=37 + { 2458321.50, 69.114954 }, //22 July 2018, UT1-UTC= 0.0690456, Accumulated Leap Seconds=37 + { 2458322.50, 69.114931 }, //23 July 2018, UT1-UTC= 0.0690692, Accumulated Leap Seconds=37 + { 2458323.50, 69.114822 }, //24 July 2018, UT1-UTC= 0.0691781, Accumulated Leap Seconds=37 + { 2458324.50, 69.114670 }, //25 July 2018, UT1-UTC= 0.0693304, Accumulated Leap Seconds=37 + { 2458325.50, 69.114490 }, //26 July 2018, UT1-UTC= 0.0695103, Accumulated Leap Seconds=37 + { 2458326.50, 69.114339 }, //27 July 2018, UT1-UTC= 0.0696607, Accumulated Leap Seconds=37 + { 2458327.50, 69.114217 }, //28 July 2018, UT1-UTC= 0.0697827, Accumulated Leap Seconds=37 + { 2458328.50, 69.114111 }, //29 July 2018, UT1-UTC= 0.0698892, Accumulated Leap Seconds=37 + { 2458329.50, 69.114055 }, //30 July 2018, UT1-UTC= 0.0699453, Accumulated Leap Seconds=37 + { 2458330.50, 69.114068 }, //31 July 2018, UT1-UTC= 0.0699325, Accumulated Leap Seconds=37 + { 2458331.50, 69.114190 }, //01 August 2018, UT1-UTC= 0.0698102, Accumulated Leap Seconds=37 + { 2458332.50, 69.114424 }, //02 August 2018, UT1-UTC= 0.0695763, Accumulated Leap Seconds=37 + { 2458333.50, 69.114737 }, //03 August 2018, UT1-UTC= 0.0692629, Accumulated Leap Seconds=37 + { 2458334.50, 69.115061 }, //04 August 2018, UT1-UTC= 0.0689387, Accumulated Leap Seconds=37 + { 2458335.50, 69.115333 }, //05 August 2018, UT1-UTC= 0.0686671, Accumulated Leap Seconds=37 + { 2458336.50, 69.115539 }, //06 August 2018, UT1-UTC= 0.0684611, Accumulated Leap Seconds=37 + { 2458337.50, 69.115667 }, //07 August 2018, UT1-UTC= 0.0683332, Accumulated Leap Seconds=37 + { 2458338.50, 69.115707 }, //08 August 2018, UT1-UTC= 0.0682926, Accumulated Leap Seconds=37 + { 2458339.50, 69.115721 }, //09 August 2018, UT1-UTC= 0.0682790, Accumulated Leap Seconds=37 + { 2458340.50, 69.115803 }, //10 August 2018, UT1-UTC= 0.0681971, Accumulated Leap Seconds=37 + { 2458341.50, 69.116033 }, //11 August 2018, UT1-UTC= 0.0679668, Accumulated Leap Seconds=37 + { 2458342.50, 69.116463 }, //12 August 2018, UT1-UTC= 0.0675370, Accumulated Leap Seconds=37 + { 2458343.50, 69.117042 }, //13 August 2018, UT1-UTC= 0.0669575, Accumulated Leap Seconds=37 + { 2458344.50, 69.117662 }, //14 August 2018, UT1-UTC= 0.0663382, Accumulated Leap Seconds=37 + { 2458345.50, 69.118266 }, //15 August 2018, UT1-UTC= 0.0657339, Accumulated Leap Seconds=37 + { 2458346.50, 69.118819 }, //16 August 2018, UT1-UTC= 0.0651808, Accumulated Leap Seconds=37 + { 2458347.50, 69.119235 }, //17 August 2018, UT1-UTC= 0.0647654, Accumulated Leap Seconds=37 + { 2458348.50, 69.119511 }, //18 August 2018, UT1-UTC= 0.0644887, Accumulated Leap Seconds=37 + { 2458349.50, 69.119600 }, //19 August 2018, UT1-UTC= 0.0643999, Accumulated Leap Seconds=37 + { 2458350.50, 69.119573 }, //20 August 2018, UT1-UTC= 0.0644274, Accumulated Leap Seconds=37 + { 2458351.50, 69.119472 }, //21 August 2018, UT1-UTC= 0.0645280, Accumulated Leap Seconds=37 + { 2458352.50, 69.119312 }, //22 August 2018, UT1-UTC= 0.0646884, Accumulated Leap Seconds=37 + { 2458353.50, 69.119148 }, //23 August 2018, UT1-UTC= 0.0648517, Accumulated Leap Seconds=37 + { 2458354.50, 69.118998 }, //24 August 2018, UT1-UTC= 0.0650018, Accumulated Leap Seconds=37 + { 2458355.50, 69.118838 }, //25 August 2018, UT1-UTC= 0.0651619, Accumulated Leap Seconds=37 + { 2458356.50, 69.118769 }, //26 August 2018, UT1-UTC= 0.0652315, Accumulated Leap Seconds=37 + { 2458357.50, 69.118891 }, //27 August 2018, UT1-UTC= 0.0651086, Accumulated Leap Seconds=37 + { 2458358.50, 69.119189 }, //28 August 2018, UT1-UTC= 0.0648107, Accumulated Leap Seconds=37 + { 2458359.50, 69.119548 }, //29 August 2018, UT1-UTC= 0.0644521, Accumulated Leap Seconds=37 + { 2458360.50, 69.119905 }, //30 August 2018, UT1-UTC= 0.0640949, Accumulated Leap Seconds=37 + { 2458361.50, 69.120296 }, //31 August 2018, UT1-UTC= 0.0637042, Accumulated Leap Seconds=37 + { 2458362.50, 69.120720 }, //01 September 2018, UT1-UTC= 0.0632797, Accumulated Leap Seconds=37 + { 2458363.50, 69.121048 }, //02 September 2018, UT1-UTC= 0.0629525, Accumulated Leap Seconds=37 + { 2458364.50, 69.121253 }, //03 September 2018, UT1-UTC= 0.0627471, Accumulated Leap Seconds=37 + { 2458365.50, 69.121382 }, //04 September 2018, UT1-UTC= 0.0626180, Accumulated Leap Seconds=37 + { 2458366.50, 69.121477 }, //05 September 2018, UT1-UTC= 0.0625225, Accumulated Leap Seconds=37 + { 2458367.50, 69.121603 }, //06 September 2018, UT1-UTC= 0.0623972, Accumulated Leap Seconds=37 + { 2458368.50, 69.121830 }, //07 September 2018, UT1-UTC= 0.0621696, Accumulated Leap Seconds=37 + { 2458369.50, 69.122249 }, //08 September 2018, UT1-UTC= 0.0617506, Accumulated Leap Seconds=37 + { 2458370.50, 69.122857 }, //09 September 2018, UT1-UTC= 0.0611433, Accumulated Leap Seconds=37 + { 2458371.50, 69.123680 }, //10 September 2018, UT1-UTC= 0.0603195, Accumulated Leap Seconds=37 + { 2458372.50, 69.124651 }, //11 September 2018, UT1-UTC= 0.0593494, Accumulated Leap Seconds=37 + { 2458373.50, 69.125631 }, //12 September 2018, UT1-UTC= 0.0583688, Accumulated Leap Seconds=37 + { 2458374.50, 69.126486 }, //13 September 2018, UT1-UTC= 0.0575139, Accumulated Leap Seconds=37 + { 2458375.50, 69.127142 }, //14 September 2018, UT1-UTC= 0.0568579, Accumulated Leap Seconds=37 + { 2458376.50, 69.127597 }, //15 September 2018, UT1-UTC= 0.0564025, Accumulated Leap Seconds=37 + { 2458377.50, 69.127876 }, //16 September 2018, UT1-UTC= 0.0561236, Accumulated Leap Seconds=37 + { 2458378.50, 69.128005 }, //17 September 2018, UT1-UTC= 0.0559947, Accumulated Leap Seconds=37 + { 2458379.50, 69.128088 }, //18 September 2018, UT1-UTC= 0.0559116, Accumulated Leap Seconds=37 + { 2458380.50, 69.128138 }, //19 September 2018, UT1-UTC= 0.0558621, Accumulated Leap Seconds=37 + { 2458381.50, 69.128187 }, //20 September 2018, UT1-UTC= 0.0558132, Accumulated Leap Seconds=37 + { 2458382.50, 69.128336 }, //21 September 2018, UT1-UTC= 0.0556637, Accumulated Leap Seconds=37 + { 2458383.50, 69.128611 }, //22 September 2018, UT1-UTC= 0.0553887, Accumulated Leap Seconds=37 + { 2458384.50, 69.129026 }, //23 September 2018, UT1-UTC= 0.0549741, Accumulated Leap Seconds=37 + { 2458385.50, 69.129622 }, //24 September 2018, UT1-UTC= 0.0543782, Accumulated Leap Seconds=37 + { 2458386.50, 69.130387 }, //25 September 2018, UT1-UTC= 0.0536128, Accumulated Leap Seconds=37 + { 2458387.50, 69.131261 }, //26 September 2018, UT1-UTC= 0.0527386, Accumulated Leap Seconds=37 + { 2458388.50, 69.132158 }, //27 September 2018, UT1-UTC= 0.0518424, Accumulated Leap Seconds=37 + { 2458389.50, 69.133088 }, //28 September 2018, UT1-UTC= 0.0509123, Accumulated Leap Seconds=37 + { 2458390.50, 69.133991 }, //29 September 2018, UT1-UTC= 0.0500090, Accumulated Leap Seconds=37 + { 2458391.50, 69.134815 }, //30 September 2018, UT1-UTC= 0.0491855, Accumulated Leap Seconds=37 + { 2458392.50, 69.135558 }, //01 October 2018, UT1-UTC= 0.0484422, Accumulated Leap Seconds=37 + { 2458393.50, 69.136244 }, //02 October 2018, UT1-UTC= 0.0477556, Accumulated Leap Seconds=37 + { 2458394.50, 69.136905 }, //03 October 2018, UT1-UTC= 0.0470950, Accumulated Leap Seconds=37 + { 2458395.50, 69.137617 }, //04 October 2018, UT1-UTC= 0.0463829, Accumulated Leap Seconds=37 + { 2458396.50, 69.138467 }, //05 October 2018, UT1-UTC= 0.0455331, Accumulated Leap Seconds=37 + { 2458397.50, 69.139572 }, //06 October 2018, UT1-UTC= 0.0444284, Accumulated Leap Seconds=37 + { 2458398.50, 69.140833 }, //07 October 2018, UT1-UTC= 0.0431670, Accumulated Leap Seconds=37 + { 2458399.50, 69.142207 }, //08 October 2018, UT1-UTC= 0.0417926, Accumulated Leap Seconds=37 + { 2458400.50, 69.143653 }, //09 October 2018, UT1-UTC= 0.0403473, Accumulated Leap Seconds=37 + { 2458401.50, 69.145027 }, //10 October 2018, UT1-UTC= 0.0389725, Accumulated Leap Seconds=37 + { 2458402.50, 69.146263 }, //11 October 2018, UT1-UTC= 0.0377371, Accumulated Leap Seconds=37 + { 2458403.50, 69.147323 }, //12 October 2018, UT1-UTC= 0.0366770, Accumulated Leap Seconds=37 + { 2458404.50, 69.148196 }, //13 October 2018, UT1-UTC= 0.0358042, Accumulated Leap Seconds=37 + { 2458405.50, 69.148899 }, //14 October 2018, UT1-UTC= 0.0351009, Accumulated Leap Seconds=37 + { 2458406.50, 69.149491 }, //15 October 2018, UT1-UTC= 0.0345090, Accumulated Leap Seconds=37 + { 2458407.50, 69.149951 }, //16 October 2018, UT1-UTC= 0.0340490, Accumulated Leap Seconds=37 + { 2458408.50, 69.150364 }, //17 October 2018, UT1-UTC= 0.0336358, Accumulated Leap Seconds=37 + { 2458409.50, 69.150816 }, //18 October 2018, UT1-UTC= 0.0331836, Accumulated Leap Seconds=37 + { 2458410.50, 69.151366 }, //19 October 2018, UT1-UTC= 0.0326338, Accumulated Leap Seconds=37 + { 2458411.50, 69.152019 }, //20 October 2018, UT1-UTC= 0.0319812, Accumulated Leap Seconds=37 + { 2458412.50, 69.152809 }, //21 October 2018, UT1-UTC= 0.0311914, Accumulated Leap Seconds=37 + { 2458413.50, 69.153788 }, //22 October 2018, UT1-UTC= 0.0302123, Accumulated Leap Seconds=37 + { 2458414.50, 69.154911 }, //23 October 2018, UT1-UTC= 0.0290892, Accumulated Leap Seconds=37 + { 2458415.50, 69.156150 }, //24 October 2018, UT1-UTC= 0.0278497, Accumulated Leap Seconds=37 + { 2458416.50, 69.157448 }, //25 October 2018, UT1-UTC= 0.0265518, Accumulated Leap Seconds=37 + { 2458417.50, 69.158705 }, //26 October 2018, UT1-UTC= 0.0252947, Accumulated Leap Seconds=37 + { 2458418.50, 69.159871 }, //27 October 2018, UT1-UTC= 0.0241285, Accumulated Leap Seconds=37 + { 2458419.50, 69.160941 }, //28 October 2018, UT1-UTC= 0.0230588, Accumulated Leap Seconds=37 + { 2458420.50, 69.161905 }, //29 October 2018, UT1-UTC= 0.0220948, Accumulated Leap Seconds=37 + { 2458421.50, 69.162796 }, //30 October 2018, UT1-UTC= 0.0212045, Accumulated Leap Seconds=37 + { 2458422.50, 69.163660 }, //31 October 2018, UT1-UTC= 0.0203398, Accumulated Leap Seconds=37 + { 2458423.50, 69.164590 }, //01 November 2018, UT1-UTC= 0.0194100, Accumulated Leap Seconds=37 + { 2458424.50, 69.165661 }, //02 November 2018, UT1-UTC= 0.0183392, Accumulated Leap Seconds=37 + { 2458425.50, 69.166846 }, //03 November 2018, UT1-UTC= 0.0171535, Accumulated Leap Seconds=37 + { 2458426.50, 69.168094 }, //04 November 2018, UT1-UTC= 0.0159064, Accumulated Leap Seconds=37 + { 2458427.50, 69.169348 }, //05 November 2018, UT1-UTC= 0.0146517, Accumulated Leap Seconds=37 + { 2458428.50, 69.170587 }, //06 November 2018, UT1-UTC= 0.0134133, Accumulated Leap Seconds=37 + { 2458429.50, 69.171770 }, //07 November 2018, UT1-UTC= 0.0122295, Accumulated Leap Seconds=37 + { 2458430.50, 69.172807 }, //08 November 2018, UT1-UTC= 0.0111928, Accumulated Leap Seconds=37 + { 2458431.50, 69.173742 }, //09 November 2018, UT1-UTC= 0.0102582, Accumulated Leap Seconds=37 + { 2458432.50, 69.174530 }, //10 November 2018, UT1-UTC= 0.0094704, Accumulated Leap Seconds=37 + { 2458433.50, 69.175233 }, //11 November 2018, UT1-UTC= 0.0087666, Accumulated Leap Seconds=37 + { 2458434.50, 69.175909 }, //12 November 2018, UT1-UTC= 0.0080908, Accumulated Leap Seconds=37 + { 2458435.50, 69.176558 }, //13 November 2018, UT1-UTC= 0.0074419, Accumulated Leap Seconds=37 + { 2458436.50, 69.177269 }, //14 November 2018, UT1-UTC= 0.0067305, Accumulated Leap Seconds=37 + { 2458437.50, 69.178042 }, //15 November 2018, UT1-UTC= 0.0059584, Accumulated Leap Seconds=37 + { 2458438.50, 69.178905 }, //16 November 2018, UT1-UTC= 0.0050952, Accumulated Leap Seconds=37 + { 2458439.50, 69.179859 }, //17 November 2018, UT1-UTC= 0.0041410, Accumulated Leap Seconds=37 + { 2458440.50, 69.180921 }, //18 November 2018, UT1-UTC= 0.0030793, Accumulated Leap Seconds=37 + { 2458441.50, 69.182130 }, //19 November 2018, UT1-UTC= 0.0018698, Accumulated Leap Seconds=37 + { 2458442.50, 69.183475 }, //20 November 2018, UT1-UTC= 0.0005255, Accumulated Leap Seconds=37 + { 2458443.50, 69.184874 }, //21 November 2018, UT1-UTC=-0.0008739, Accumulated Leap Seconds=37 + { 2458444.50, 69.186264 }, //22 November 2018, UT1-UTC=-0.0022644, Accumulated Leap Seconds=37 + { 2458445.50, 69.187586 }, //23 November 2018, UT1-UTC=-0.0035859, Accumulated Leap Seconds=37 + { 2458446.50, 69.188808 }, //24 November 2018, UT1-UTC=-0.0048081, Accumulated Leap Seconds=37 + { 2458447.50, 69.189892 }, //25 November 2018, UT1-UTC=-0.0058923, Accumulated Leap Seconds=37 + { 2458448.50, 69.190861 }, //26 November 2018, UT1-UTC=-0.0068614, Accumulated Leap Seconds=37 + { 2458449.50, 69.191819 }, //27 November 2018, UT1-UTC=-0.0078195, Accumulated Leap Seconds=37 + { 2458450.50, 69.192816 }, //28 November 2018, UT1-UTC=-0.0088161, Accumulated Leap Seconds=37 + { 2458451.50, 69.193925 }, //29 November 2018, UT1-UTC=-0.0099250, Accumulated Leap Seconds=37 + { 2458452.50, 69.195138 }, //30 November 2018, UT1-UTC=-0.0111375, Accumulated Leap Seconds=37 + { 2458453.50, 69.196423 }, //01 December 2018, UT1-UTC=-0.0124228, Accumulated Leap Seconds=37 + { 2458454.50, 69.197734 }, //02 December 2018, UT1-UTC=-0.0137338, Accumulated Leap Seconds=37 + { 2458455.50, 69.198992 }, //03 December 2018, UT1-UTC=-0.0149921, Accumulated Leap Seconds=37 + { 2458456.50, 69.200115 }, //04 December 2018, UT1-UTC=-0.0161149, Accumulated Leap Seconds=37 + { 2458457.50, 69.200995 }, //05 December 2018, UT1-UTC=-0.0169955, Accumulated Leap Seconds=37 + { 2458458.50, 69.201681 }, //06 December 2018, UT1-UTC=-0.0176813, Accumulated Leap Seconds=37 + { 2458459.50, 69.202237 }, //07 December 2018, UT1-UTC=-0.0182366, Accumulated Leap Seconds=37 + { 2458460.50, 69.202731 }, //08 December 2018, UT1-UTC=-0.0187315, Accumulated Leap Seconds=37 + { 2458461.50, 69.203134 }, //09 December 2018, UT1-UTC=-0.0191338, Accumulated Leap Seconds=37 + { 2458462.50, 69.203491 }, //10 December 2018, UT1-UTC=-0.0194914, Accumulated Leap Seconds=37 + { 2458463.50, 69.203882 }, //11 December 2018, UT1-UTC=-0.0198816, Accumulated Leap Seconds=37 + { 2458464.50, 69.204350 }, //12 December 2018, UT1-UTC=-0.0203504, Accumulated Leap Seconds=37 + { 2458465.50, 69.204888 }, //13 December 2018, UT1-UTC=-0.0208876, Accumulated Leap Seconds=37 + { 2458466.50, 69.205493 }, //14 December 2018, UT1-UTC=-0.0214930, Accumulated Leap Seconds=37 + { 2458467.50, 69.206195 }, //15 December 2018, UT1-UTC=-0.0221946, Accumulated Leap Seconds=37 + { 2458468.50, 69.207008 }, //16 December 2018, UT1-UTC=-0.0230078, Accumulated Leap Seconds=37 + { 2458469.50, 69.207941 }, //17 December 2018, UT1-UTC=-0.0239410, Accumulated Leap Seconds=37 + { 2458470.50, 69.208967 }, //18 December 2018, UT1-UTC=-0.0249665, Accumulated Leap Seconds=37 + { 2458471.50, 69.210005 }, //19 December 2018, UT1-UTC=-0.0260051, Accumulated Leap Seconds=37 + { 2458472.50, 69.210907 }, //20 December 2018, UT1-UTC=-0.0269070, Accumulated Leap Seconds=37 + { 2458473.50, 69.211635 }, //21 December 2018, UT1-UTC=-0.0276346, Accumulated Leap Seconds=37 + { 2458474.50, 69.212213 }, //22 December 2018, UT1-UTC=-0.0282128, Accumulated Leap Seconds=37 + { 2458475.50, 69.212679 }, //23 December 2018, UT1-UTC=-0.0286787, Accumulated Leap Seconds=37 + { 2458476.50, 69.213140 }, //24 December 2018, UT1-UTC=-0.0291401, Accumulated Leap Seconds=37 + { 2458477.50, 69.213669 }, //25 December 2018, UT1-UTC=-0.0296689, Accumulated Leap Seconds=37 + { 2458478.50, 69.214294 }, //26 December 2018, UT1-UTC=-0.0302944, Accumulated Leap Seconds=37 + { 2458479.50, 69.215076 }, //27 December 2018, UT1-UTC=-0.0310765, Accumulated Leap Seconds=37 + { 2458480.50, 69.216011 }, //28 December 2018, UT1-UTC=-0.0320114, Accumulated Leap Seconds=37 + { 2458481.50, 69.217085 }, //29 December 2018, UT1-UTC=-0.0330854, Accumulated Leap Seconds=37 + { 2458482.50, 69.218166 }, //30 December 2018, UT1-UTC=-0.0341662, Accumulated Leap Seconds=37 + { 2458483.50, 69.219195 }, //31 December 2018, UT1-UTC=-0.0351948, Accumulated Leap Seconds=37 + { 2458484.50, 69.220163 }, //01 January 2019, UT1-UTC=-0.0361632, Accumulated Leap Seconds=37 + { 2458485.50, 69.221045 }, //02 January 2019, UT1-UTC=-0.0370452, Accumulated Leap Seconds=37 + { 2458486.50, 69.221758 }, //03 January 2019, UT1-UTC=-0.0377584, Accumulated Leap Seconds=37 + { 2458487.50, 69.222271 }, //04 January 2019, UT1-UTC=-0.0382710, Accumulated Leap Seconds=37 + { 2458488.50, 69.222723 }, //05 January 2019, UT1-UTC=-0.0387231, Accumulated Leap Seconds=37 + { 2458489.50, 69.223111 }, //06 January 2019, UT1-UTC=-0.0391107, Accumulated Leap Seconds=37 + { 2458490.50, 69.223432 }, //07 January 2019, UT1-UTC=-0.0394318, Accumulated Leap Seconds=37 + { 2458491.50, 69.223761 }, //08 January 2019, UT1-UTC=-0.0397606, Accumulated Leap Seconds=37 + { 2458492.50, 69.224123 }, //09 January 2019, UT1-UTC=-0.0401230, Accumulated Leap Seconds=37 + { 2458493.50, 69.224582 }, //10 January 2019, UT1-UTC=-0.0405821, Accumulated Leap Seconds=37 + { 2458494.50, 69.225091 }, //11 January 2019, UT1-UTC=-0.0410915, Accumulated Leap Seconds=37 + { 2458495.50, 69.225734 }, //12 January 2019, UT1-UTC=-0.0417339, Accumulated Leap Seconds=37 + { 2458496.50, 69.226465 }, //13 January 2019, UT1-UTC=-0.0424652, Accumulated Leap Seconds=37 + { 2458497.50, 69.227266 }, //14 January 2019, UT1-UTC=-0.0432663, Accumulated Leap Seconds=37 + { 2458498.50, 69.228143 }, //15 January 2019, UT1-UTC=-0.0441428, Accumulated Leap Seconds=37 + { 2458499.50, 69.229047 }, //16 January 2019, UT1-UTC=-0.0450467, Accumulated Leap Seconds=37 + { 2458500.50, 69.229913 }, //17 January 2019, UT1-UTC=-0.0459130, Accumulated Leap Seconds=37 + { 2458501.50, 69.230725 }, //18 January 2019, UT1-UTC=-0.0467252, Accumulated Leap Seconds=37 + { 2458502.50, 69.231481 }, //19 January 2019, UT1-UTC=-0.0474805, Accumulated Leap Seconds=37 + { 2458503.50, 69.232218 }, //20 January 2019, UT1-UTC=-0.0482177, Accumulated Leap Seconds=37 + { 2458504.50, 69.233007 }, //21 January 2019, UT1-UTC=-0.0490075, Accumulated Leap Seconds=37 + { 2458505.50, 69.233919 }, //22 January 2019, UT1-UTC=-0.0499191, Accumulated Leap Seconds=37 + { 2458506.50, 69.234977 }, //23 January 2019, UT1-UTC=-0.0509772, Accumulated Leap Seconds=37 + { 2458507.50, 69.236230 }, //24 January 2019, UT1-UTC=-0.0522303, Accumulated Leap Seconds=37 + { 2458508.50, 69.237634 }, //25 January 2019, UT1-UTC=-0.0536338, Accumulated Leap Seconds=37 + { 2458509.50, 69.239069 }, //26 January 2019, UT1-UTC=-0.0550685, Accumulated Leap Seconds=37 + { 2458510.50, 69.240486 }, //27 January 2019, UT1-UTC=-0.0564856, Accumulated Leap Seconds=37 + { 2458511.50, 69.241808 }, //28 January 2019, UT1-UTC=-0.0578081, Accumulated Leap Seconds=37 + { 2458512.50, 69.242911 }, //29 January 2019, UT1-UTC=-0.0589114, Accumulated Leap Seconds=37 + { 2458513.50, 69.243832 }, //30 January 2019, UT1-UTC=-0.0598320, Accumulated Leap Seconds=37 + { 2458514.50, 69.244576 }, //31 January 2019, UT1-UTC=-0.0605762, Accumulated Leap Seconds=37 + { 2458515.50, 69.245156 }, //01 February 2019, UT1-UTC=-0.0611564, Accumulated Leap Seconds=37 + { 2458516.50, 69.245662 }, //02 February 2019, UT1-UTC=-0.0616624, Accumulated Leap Seconds=37 + { 2458517.50, 69.246128 }, //03 February 2019, UT1-UTC=-0.0621277, Accumulated Leap Seconds=37 + { 2458518.50, 69.246653 }, //04 February 2019, UT1-UTC=-0.0626533, Accumulated Leap Seconds=37 + { 2458519.50, 69.247318 }, //05 February 2019, UT1-UTC=-0.0633185, Accumulated Leap Seconds=37 + { 2458520.50, 69.248089 }, //06 February 2019, UT1-UTC=-0.0640895, Accumulated Leap Seconds=37 + { 2458521.50, 69.248984 }, //07 February 2019, UT1-UTC=-0.0649842, Accumulated Leap Seconds=37 + { 2458522.50, 69.249979 }, //08 February 2019, UT1-UTC=-0.0659790, Accumulated Leap Seconds=37 + { 2458523.50, 69.251067 }, //09 February 2019, UT1-UTC=-0.0670674, Accumulated Leap Seconds=37 + { 2458524.50, 69.252229 }, //10 February 2019, UT1-UTC=-0.0682290, Accumulated Leap Seconds=37 + { 2458525.50, 69.253433 }, //11 February 2019, UT1-UTC=-0.0694334, Accumulated Leap Seconds=37 + { 2458526.50, 69.254616 }, //12 February 2019, UT1-UTC=-0.0706159, Accumulated Leap Seconds=37 + { 2458527.50, 69.255794 }, //13 February 2019, UT1-UTC=-0.0717940, Accumulated Leap Seconds=37 + { 2458528.50, 69.256926 }, //14 February 2019, UT1-UTC=-0.0729259, Accumulated Leap Seconds=37 + { 2458529.50, 69.257966 }, //15 February 2019, UT1-UTC=-0.0739665, Accumulated Leap Seconds=37 + { 2458530.50, 69.258954 }, //16 February 2019, UT1-UTC=-0.0749540, Accumulated Leap Seconds=37 + { 2458531.50, 69.259918 }, //17 February 2019, UT1-UTC=-0.0759185, Accumulated Leap Seconds=37 + { 2458532.50, 69.260930 }, //18 February 2019, UT1-UTC=-0.0769301, Accumulated Leap Seconds=37 + { 2458533.50, 69.262101 }, //19 February 2019, UT1-UTC=-0.0781015, Accumulated Leap Seconds=37 + { 2458534.50, 69.263456 }, //20 February 2019, UT1-UTC=-0.0794558, Accumulated Leap Seconds=37 + { 2458535.50, 69.264945 }, //21 February 2019, UT1-UTC=-0.0809446, Accumulated Leap Seconds=37 + { 2458536.50, 69.266487 }, //22 February 2019, UT1-UTC=-0.0824874, Accumulated Leap Seconds=37 + { 2458537.50, 69.267992 }, //23 February 2019, UT1-UTC=-0.0839918, Accumulated Leap Seconds=37 + { 2458538.50, 69.269379 }, //24 February 2019, UT1-UTC=-0.0853787, Accumulated Leap Seconds=37 + { 2458539.50, 69.270533 }, //25 February 2019, UT1-UTC=-0.0865327, Accumulated Leap Seconds=37 + { 2458540.50, 69.271483 }, //26 February 2019, UT1-UTC=-0.0874829, Accumulated Leap Seconds=37 + { 2458541.50, 69.272212 }, //27 February 2019, UT1-UTC=-0.0882119, Accumulated Leap Seconds=37 + { 2458542.50, 69.272796 }, //28 February 2019, UT1-UTC=-0.0887955, Accumulated Leap Seconds=37 + { 2458543.50, 69.273276 }, //01 March 2019, UT1-UTC=-0.0892758, Accumulated Leap Seconds=37 + { 2458544.50, 69.273715 }, //02 March 2019, UT1-UTC=-0.0897148, Accumulated Leap Seconds=37 + { 2458545.50, 69.274210 }, //03 March 2019, UT1-UTC=-0.0902098, Accumulated Leap Seconds=37 + { 2458546.50, 69.274725 }, //04 March 2019, UT1-UTC=-0.0907251, Accumulated Leap Seconds=37 + { 2458547.50, 69.275334 }, //05 March 2019, UT1-UTC=-0.0913344, Accumulated Leap Seconds=37 + { 2458548.50, 69.276043 }, //06 March 2019, UT1-UTC=-0.0920430, Accumulated Leap Seconds=37 + { 2458549.50, 69.276878 }, //07 March 2019, UT1-UTC=-0.0928782, Accumulated Leap Seconds=37 + { 2458550.50, 69.277828 }, //08 March 2019, UT1-UTC=-0.0938285, Accumulated Leap Seconds=37 + { 2458551.50, 69.278822 }, //09 March 2019, UT1-UTC=-0.0948222, Accumulated Leap Seconds=37 + { 2458552.50, 69.279867 }, //10 March 2019, UT1-UTC=-0.0958673, Accumulated Leap Seconds=37 + { 2458553.50, 69.280942 }, //11 March 2019, UT1-UTC=-0.0969416, Accumulated Leap Seconds=37 + { 2458554.50, 69.281963 }, //12 March 2019, UT1-UTC=-0.0979631, Accumulated Leap Seconds=37 + { 2458555.50, 69.282882 }, //13 March 2019, UT1-UTC=-0.0988823, Accumulated Leap Seconds=37 + { 2458556.50, 69.283702 }, //14 March 2019, UT1-UTC=-0.0997021, Accumulated Leap Seconds=37 + { 2458557.50, 69.284469 }, //15 March 2019, UT1-UTC=-0.1004690, Accumulated Leap Seconds=37 + { 2458558.50, 69.285269 }, //16 March 2019, UT1-UTC=-0.1012687, Accumulated Leap Seconds=37 + { 2458559.50, 69.286138 }, //17 March 2019, UT1-UTC=-0.1021385, Accumulated Leap Seconds=37 + { 2458560.50, 69.287134 }, //18 March 2019, UT1-UTC=-0.1031338, Accumulated Leap Seconds=37 + { 2458561.50, 69.288342 }, //19 March 2019, UT1-UTC=-0.1043416, Accumulated Leap Seconds=37 + { 2458562.50, 69.289750 }, //20 March 2019, UT1-UTC=-0.1057496, Accumulated Leap Seconds=37 + { 2458563.50, 69.291324 }, //21 March 2019, UT1-UTC=-0.1073241, Accumulated Leap Seconds=37 + { 2458564.50, 69.293003 }, //22 March 2019, UT1-UTC=-0.1090030, Accumulated Leap Seconds=37 + { 2458565.50, 69.294633 }, //23 March 2019, UT1-UTC=-0.1106334, Accumulated Leap Seconds=37 + { 2458566.50, 69.296124 }, //24 March 2019, UT1-UTC=-0.1121243, Accumulated Leap Seconds=37 + { 2458567.50, 69.297399 }, //25 March 2019, UT1-UTC=-0.1133992, Accumulated Leap Seconds=37 + { 2458568.50, 69.298443 }, //26 March 2019, UT1-UTC=-0.1144431, Accumulated Leap Seconds=37 + { 2458569.50, 69.299318 }, //27 March 2019, UT1-UTC=-0.1153175, Accumulated Leap Seconds=37 + { 2458570.50, 69.300097 }, //28 March 2019, UT1-UTC=-0.1160974, Accumulated Leap Seconds=37 + { 2458571.50, 69.300810 }, //29 March 2019, UT1-UTC=-0.1168102, Accumulated Leap Seconds=37 + { 2458572.50, 69.301540 }, //30 March 2019, UT1-UTC=-0.1175397, Accumulated Leap Seconds=37 + { 2458573.50, 69.302324 }, //31 March 2019, UT1-UTC=-0.1183242, Accumulated Leap Seconds=37 + { 2458574.50, 69.303198 }, //01 April 2019, UT1-UTC=-0.1191979, Accumulated Leap Seconds=37 + { 2458575.50, 69.304165 }, //02 April 2019, UT1-UTC=-0.1201648, Accumulated Leap Seconds=37 + { 2458576.50, 69.305246 }, //03 April 2019, UT1-UTC=-0.1212465, Accumulated Leap Seconds=37 + { 2458577.50, 69.306473 }, //04 April 2019, UT1-UTC=-0.1224726, Accumulated Leap Seconds=37 + { 2458578.50, 69.307757 }, //05 April 2019, UT1-UTC=-0.1237568, Accumulated Leap Seconds=37 + { 2458579.50, 69.309040 }, //06 April 2019, UT1-UTC=-0.1250404, Accumulated Leap Seconds=37 + { 2458580.50, 69.310335 }, //07 April 2019, UT1-UTC=-0.1263347, Accumulated Leap Seconds=37 + { 2458581.50, 69.311579 }, //08 April 2019, UT1-UTC=-0.1275788, Accumulated Leap Seconds=37 + { 2458582.50, 69.312742 }, //09 April 2019, UT1-UTC=-0.1287422, Accumulated Leap Seconds=37 + { 2458583.50, 69.313774 }, //10 April 2019, UT1-UTC=-0.1297738, Accumulated Leap Seconds=37 + { 2458584.50, 69.314658 }, //11 April 2019, UT1-UTC=-0.1306581, Accumulated Leap Seconds=37 + { 2458585.50, 69.315416 }, //12 April 2019, UT1-UTC=-0.1314155, Accumulated Leap Seconds=37 + { 2458586.50, 69.316211 }, //13 April 2019, UT1-UTC=-0.1322115, Accumulated Leap Seconds=37 + { 2458587.50, 69.317062 }, //14 April 2019, UT1-UTC=-0.1330617, Accumulated Leap Seconds=37 + { 2458588.50, 69.318044 }, //15 April 2019, UT1-UTC=-0.1340441, Accumulated Leap Seconds=37 + { 2458589.50, 69.319233 }, //16 April 2019, UT1-UTC=-0.1352327, Accumulated Leap Seconds=37 + { 2458590.50, 69.320600 }, //17 April 2019, UT1-UTC=-0.1365999, Accumulated Leap Seconds=37 + { 2458591.50, 69.322075 }, //18 April 2019, UT1-UTC=-0.1380752, Accumulated Leap Seconds=37 + { 2458592.50, 69.323490 }, //19 April 2019, UT1-UTC=-0.1394900, Accumulated Leap Seconds=37 + { 2458593.50, 69.324803 }, //20 April 2019, UT1-UTC=-0.1408027, Accumulated Leap Seconds=37 + { 2458594.50, 69.325930 }, //21 April 2019, UT1-UTC=-0.1419298, Accumulated Leap Seconds=37 + { 2458595.50, 69.326810 }, //22 April 2019, UT1-UTC=-0.1428101, Accumulated Leap Seconds=37 + { 2458596.50, 69.327476 }, //23 April 2019, UT1-UTC=-0.1434763, Accumulated Leap Seconds=37 + { 2458597.50, 69.328017 }, //24 April 2019, UT1-UTC=-0.1440169, Accumulated Leap Seconds=37 + { 2458598.50, 69.328513 }, //25 April 2019, UT1-UTC=-0.1445128, Accumulated Leap Seconds=37 + { 2458599.50, 69.329004 }, //26 April 2019, UT1-UTC=-0.1450041, Accumulated Leap Seconds=37 + { 2458600.50, 69.329563 }, //27 April 2019, UT1-UTC=-0.1455633, Accumulated Leap Seconds=37 + { 2458601.50, 69.330175 }, //28 April 2019, UT1-UTC=-0.1461748, Accumulated Leap Seconds=37 + { 2458602.50, 69.330839 }, //29 April 2019, UT1-UTC=-0.1468390, Accumulated Leap Seconds=37 + { 2458603.50, 69.331632 }, //30 April 2019, UT1-UTC=-0.1476321, Accumulated Leap Seconds=37 + { 2458604.50, 69.332567 }, //01 May 2019, UT1-UTC=-0.1485675, Accumulated Leap Seconds=37 + { 2458605.50, 69.333612 }, //02 May 2019, UT1-UTC=-0.1496123, Accumulated Leap Seconds=37 + { 2458606.50, 69.334656 }, //03 May 2019, UT1-UTC=-0.1506564, Accumulated Leap Seconds=37 + { 2458607.50, 69.335631 }, //04 May 2019, UT1-UTC=-0.1516315, Accumulated Leap Seconds=37 + { 2458608.50, 69.336533 }, //05 May 2019, UT1-UTC=-0.1525334, Accumulated Leap Seconds=37 + { 2458609.50, 69.337366 }, //06 May 2019, UT1-UTC=-0.1533663, Accumulated Leap Seconds=37 + { 2458610.50, 69.338093 }, //07 May 2019, UT1-UTC=-0.1540934, Accumulated Leap Seconds=37 + { 2458611.50, 69.338711 }, //08 May 2019, UT1-UTC=-0.1547113, Accumulated Leap Seconds=37 + { 2458612.50, 69.339280 }, //09 May 2019, UT1-UTC=-0.1552802, Accumulated Leap Seconds=37 + { 2458613.50, 69.339827 }, //10 May 2019, UT1-UTC=-0.1558271, Accumulated Leap Seconds=37 + { 2458614.50, 69.340399 }, //11 May 2019, UT1-UTC=-0.1563994, Accumulated Leap Seconds=37 + { 2458615.50, 69.341094 }, //12 May 2019, UT1-UTC=-0.1570941, Accumulated Leap Seconds=37 + { 2458616.50, 69.341942 }, //13 May 2019, UT1-UTC=-0.1579420, Accumulated Leap Seconds=37 + { 2458617.50, 69.342971 }, //14 May 2019, UT1-UTC=-0.1589712, Accumulated Leap Seconds=37 + { 2458618.50, 69.344180 }, //15 May 2019, UT1-UTC=-0.1601803, Accumulated Leap Seconds=37 + { 2458619.50, 69.345457 }, //16 May 2019, UT1-UTC=-0.1614572, Accumulated Leap Seconds=37 + { 2458620.50, 69.346712 }, //17 May 2019, UT1-UTC=-0.1627123, Accumulated Leap Seconds=37 + { 2458621.50, 69.347795 }, //18 May 2019, UT1-UTC=-0.1637952, Accumulated Leap Seconds=37 + { 2458622.50, 69.348605 }, //19 May 2019, UT1-UTC=-0.1646049, Accumulated Leap Seconds=37 + { 2458623.50, 69.349206 }, //20 May 2019, UT1-UTC=-0.1652061, Accumulated Leap Seconds=37 + { 2458624.50, 69.349595 }, //21 May 2019, UT1-UTC=-0.1655949, Accumulated Leap Seconds=37 + { 2458625.50, 69.349853 }, //22 May 2019, UT1-UTC=-0.1658535, Accumulated Leap Seconds=37 + { 2458626.50, 69.350076 }, //23 May 2019, UT1-UTC=-0.1660761, Accumulated Leap Seconds=37 + { 2458627.50, 69.350313 }, //24 May 2019, UT1-UTC=-0.1663131, Accumulated Leap Seconds=37 + { 2458628.50, 69.350590 }, //25 May 2019, UT1-UTC=-0.1665897, Accumulated Leap Seconds=37 + { 2458629.50, 69.350908 }, //26 May 2019, UT1-UTC=-0.1669079, Accumulated Leap Seconds=37 + { 2458630.50, 69.351309 }, //27 May 2019, UT1-UTC=-0.1673088, Accumulated Leap Seconds=37 + { 2458631.50, 69.351776 }, //28 May 2019, UT1-UTC=-0.1677762, Accumulated Leap Seconds=37 + { 2458632.50, 69.352288 }, //29 May 2019, UT1-UTC=-0.1682876, Accumulated Leap Seconds=37 + { 2458633.50, 69.352872 }, //30 May 2019, UT1-UTC=-0.1688717, Accumulated Leap Seconds=37 + { 2458634.50, 69.353467 }, //31 May 2019, UT1-UTC=-0.1694668, Accumulated Leap Seconds=37 + { 2458635.50, 69.354051 }, //01 June 2019, UT1-UTC=-0.1700507, Accumulated Leap Seconds=37 + { 2458636.50, 69.354589 }, //02 June 2019, UT1-UTC=-0.1705893, Accumulated Leap Seconds=37 + { 2458637.50, 69.354973 }, //03 June 2019, UT1-UTC=-0.1709735, Accumulated Leap Seconds=37 + { 2458638.50, 69.355220 }, //04 June 2019, UT1-UTC=-0.1712196, Accumulated Leap Seconds=37 + { 2458639.50, 69.355393 }, //05 June 2019, UT1-UTC=-0.1713926, Accumulated Leap Seconds=37 + { 2458640.50, 69.355519 }, //06 June 2019, UT1-UTC=-0.1715186, Accumulated Leap Seconds=37 + { 2458641.50, 69.355640 }, //07 June 2019, UT1-UTC=-0.1716405, Accumulated Leap Seconds=37 + { 2458642.50, 69.355829 }, //08 June 2019, UT1-UTC=-0.1718291, Accumulated Leap Seconds=37 + { 2458643.50, 69.356139 }, //09 June 2019, UT1-UTC=-0.1721388, Accumulated Leap Seconds=37 + { 2458644.50, 69.356610 }, //10 June 2019, UT1-UTC=-0.1726102, Accumulated Leap Seconds=37 + { 2458645.50, 69.357214 }, //11 June 2019, UT1-UTC=-0.1732135, Accumulated Leap Seconds=37 + { 2458646.50, 69.357870 }, //12 June 2019, UT1-UTC=-0.1738701, Accumulated Leap Seconds=37 + { 2458647.50, 69.358495 }, //13 June 2019, UT1-UTC=-0.1744949, Accumulated Leap Seconds=37 + { 2458648.50, 69.359015 }, //14 June 2019, UT1-UTC=-0.1750150, Accumulated Leap Seconds=37 + { 2458649.50, 69.359362 }, //15 June 2019, UT1-UTC=-0.1753616, Accumulated Leap Seconds=37 + { 2458650.50, 69.359471 }, //16 June 2019, UT1-UTC=-0.1754711, Accumulated Leap Seconds=37 + { 2458651.50, 69.359408 }, //17 June 2019, UT1-UTC=-0.1754081, Accumulated Leap Seconds=37 + { 2458652.50, 69.359244 }, //18 June 2019, UT1-UTC=-0.1752440, Accumulated Leap Seconds=37 + { 2458653.50, 69.359012 }, //19 June 2019, UT1-UTC=-0.1750116, Accumulated Leap Seconds=37 + { 2458654.50, 69.358768 }, //20 June 2019, UT1-UTC=-0.1747685, Accumulated Leap Seconds=37 + { 2458655.50, 69.358574 }, //21 June 2019, UT1-UTC=-0.1745736, Accumulated Leap Seconds=37 + { 2458656.50, 69.358438 }, //22 June 2019, UT1-UTC=-0.1744381, Accumulated Leap Seconds=37 + { 2458657.50, 69.358352 }, //23 June 2019, UT1-UTC=-0.1743521, Accumulated Leap Seconds=37 + { 2458658.50, 69.358371 }, //24 June 2019, UT1-UTC=-0.1743707, Accumulated Leap Seconds=37 + { 2458659.50, 69.358416 }, //25 June 2019, UT1-UTC=-0.1744160, Accumulated Leap Seconds=37 + { 2458660.50, 69.358479 }, //26 June 2019, UT1-UTC=-0.1744791, Accumulated Leap Seconds=37 + { 2458661.50, 69.358542 }, //27 June 2019, UT1-UTC=-0.1745418, Accumulated Leap Seconds=37 + { 2458662.50, 69.358553 }, //28 June 2019, UT1-UTC=-0.1745529, Accumulated Leap Seconds=37 + { 2458663.50, 69.358537 }, //29 June 2019, UT1-UTC=-0.1745373, Accumulated Leap Seconds=37 + { 2458664.50, 69.358421 }, //30 June 2019, UT1-UTC=-0.1744209, Accumulated Leap Seconds=37 + { 2458665.50, 69.358172 }, //01 July 2019, UT1-UTC=-0.1741722, Accumulated Leap Seconds=37 + { 2458666.50, 69.357807 }, //02 July 2019, UT1-UTC=-0.1738071, Accumulated Leap Seconds=37 + { 2458667.50, 69.357323 }, //03 July 2019, UT1-UTC=-0.1733232, Accumulated Leap Seconds=37 + { 2458668.50, 69.356772 }, //04 July 2019, UT1-UTC=-0.1727722, Accumulated Leap Seconds=37 + { 2458669.50, 69.356296 }, //05 July 2019, UT1-UTC=-0.1722958, Accumulated Leap Seconds=37 + { 2458670.50, 69.356008 }, //06 July 2019, UT1-UTC=-0.1720076, Accumulated Leap Seconds=37 + { 2458671.50, 69.355934 }, //07 July 2019, UT1-UTC=-0.1719339, Accumulated Leap Seconds=37 + { 2458672.50, 69.355947 }, //08 July 2019, UT1-UTC=-0.1719471, Accumulated Leap Seconds=37 + { 2458673.50, 69.356011 }, //09 July 2019, UT1-UTC=-0.1720110, Accumulated Leap Seconds=37 + { 2458674.50, 69.356063 }, //10 July 2019, UT1-UTC=-0.1720628, Accumulated Leap Seconds=37 + { 2458675.50, 69.356024 }, //11 July 2019, UT1-UTC=-0.1720240, Accumulated Leap Seconds=37 + { 2458676.50, 69.355793 }, //12 July 2019, UT1-UTC=-0.1717933, Accumulated Leap Seconds=37 + { 2458677.50, 69.355341 }, //13 July 2019, UT1-UTC=-0.1713410, Accumulated Leap Seconds=37 + { 2458678.50, 69.354672 }, //14 July 2019, UT1-UTC=-0.1706722, Accumulated Leap Seconds=37 + { 2458679.50, 69.353813 }, //15 July 2019, UT1-UTC=-0.1698133, Accumulated Leap Seconds=37 + { 2458680.50, 69.352858 }, //16 July 2019, UT1-UTC=-0.1688584, Accumulated Leap Seconds=37 + { 2458681.50, 69.351937 }, //17 July 2019, UT1-UTC=-0.1679368, Accumulated Leap Seconds=37 + { 2458682.50, 69.351065 }, //18 July 2019, UT1-UTC=-0.1670647, Accumulated Leap Seconds=37 + { 2458683.50, 69.350290 }, //19 July 2019, UT1-UTC=-0.1662905, Accumulated Leap Seconds=37 + { 2458684.50, 69.349639 }, //20 July 2019, UT1-UTC=-0.1656386, Accumulated Leap Seconds=37 + { 2458685.50, 69.349134 }, //21 July 2019, UT1-UTC=-0.1651336, Accumulated Leap Seconds=37 + { 2458686.50, 69.348655 }, //22 July 2019, UT1-UTC=-0.1646551, Accumulated Leap Seconds=37 + { 2458687.50, 69.348206 }, //23 July 2019, UT1-UTC=-0.1642060, Accumulated Leap Seconds=37 + { 2458688.50, 69.347871 }, //24 July 2019, UT1-UTC=-0.1638710, Accumulated Leap Seconds=37 + { 2458689.50, 69.347555 }, //25 July 2019, UT1-UTC=-0.1635554, Accumulated Leap Seconds=37 + { 2458690.50, 69.347194 }, //26 July 2019, UT1-UTC=-0.1631943, Accumulated Leap Seconds=37 + { 2458691.50, 69.346789 }, //27 July 2019, UT1-UTC=-0.1627890, Accumulated Leap Seconds=37 + { 2458692.50, 69.346366 }, //28 July 2019, UT1-UTC=-0.1623658, Accumulated Leap Seconds=37 + { 2458693.50, 69.345847 }, //29 July 2019, UT1-UTC=-0.1618466, Accumulated Leap Seconds=37 + { 2458694.50, 69.345241 }, //30 July 2019, UT1-UTC=-0.1612414, Accumulated Leap Seconds=37 + { 2458695.50, 69.344654 }, //31 July 2019, UT1-UTC=-0.1606543, Accumulated Leap Seconds=37 + { 2458696.50, 69.344159 }, //01 August 2019, UT1-UTC=-0.1601594, Accumulated Leap Seconds=37 + { 2458697.50, 69.343849 }, //02 August 2019, UT1-UTC=-0.1598491, Accumulated Leap Seconds=37 + { 2458698.50, 69.343766 }, //03 August 2019, UT1-UTC=-0.1597661, Accumulated Leap Seconds=37 + { 2458699.50, 69.343891 }, //04 August 2019, UT1-UTC=-0.1598905, Accumulated Leap Seconds=37 + { 2458700.50, 69.344156 }, //05 August 2019, UT1-UTC=-0.1601557, Accumulated Leap Seconds=37 + { 2458701.50, 69.344447 }, //06 August 2019, UT1-UTC=-0.1604474, Accumulated Leap Seconds=37 + { 2458702.50, 69.344659 }, //07 August 2019, UT1-UTC=-0.1606591, Accumulated Leap Seconds=37 + { 2458703.50, 69.344699 }, //08 August 2019, UT1-UTC=-0.1606992, Accumulated Leap Seconds=37 + { 2458704.50, 69.344514 }, //09 August 2019, UT1-UTC=-0.1605139, Accumulated Leap Seconds=37 + { 2458705.50, 69.344086 }, //10 August 2019, UT1-UTC=-0.1600862, Accumulated Leap Seconds=37 + { 2458706.50, 69.343495 }, //11 August 2019, UT1-UTC=-0.1594952, Accumulated Leap Seconds=37 + { 2458707.50, 69.342817 }, //12 August 2019, UT1-UTC=-0.1588168, Accumulated Leap Seconds=37 + { 2458708.50, 69.342045 }, //13 August 2019, UT1-UTC=-0.1580450, Accumulated Leap Seconds=37 + { 2458709.50, 69.341327 }, //14 August 2019, UT1-UTC=-0.1573268, Accumulated Leap Seconds=37 + { 2458710.50, 69.340743 }, //15 August 2019, UT1-UTC=-0.1567430, Accumulated Leap Seconds=37 + { 2458711.50, 69.340276 }, //16 August 2019, UT1-UTC=-0.1562759, Accumulated Leap Seconds=37 + { 2458712.50, 69.339842 }, //17 August 2019, UT1-UTC=-0.1558423, Accumulated Leap Seconds=37 + { 2458713.50, 69.339503 }, //18 August 2019, UT1-UTC=-0.1555028, Accumulated Leap Seconds=37 + { 2458714.50, 69.339215 }, //19 August 2019, UT1-UTC=-0.1552151, Accumulated Leap Seconds=37 + { 2458715.50, 69.338987 }, //20 August 2019, UT1-UTC=-0.1549871, Accumulated Leap Seconds=37 + { 2458716.50, 69.338821 }, //21 August 2019, UT1-UTC=-0.1548215, Accumulated Leap Seconds=37 + { 2458717.50, 69.338679 }, //22 August 2019, UT1-UTC=-0.1546787, Accumulated Leap Seconds=37 + { 2458718.50, 69.338523 }, //23 August 2019, UT1-UTC=-0.1545227, Accumulated Leap Seconds=37 + { 2458719.50, 69.338351 }, //24 August 2019, UT1-UTC=-0.1543507, Accumulated Leap Seconds=37 + { 2458720.50, 69.338081 }, //25 August 2019, UT1-UTC=-0.1540811, Accumulated Leap Seconds=37 + { 2458721.50, 69.337706 }, //26 August 2019, UT1-UTC=-0.1537064, Accumulated Leap Seconds=37 + { 2458722.50, 69.337305 }, //27 August 2019, UT1-UTC=-0.1533047, Accumulated Leap Seconds=37 + { 2458723.50, 69.336991 }, //28 August 2019, UT1-UTC=-0.1529913, Accumulated Leap Seconds=37 + { 2458724.50, 69.336817 }, //29 August 2019, UT1-UTC=-0.1528174, Accumulated Leap Seconds=37 + { 2458725.50, 69.336861 }, //30 August 2019, UT1-UTC=-0.1528609, Accumulated Leap Seconds=37 + { 2458726.50, 69.337126 }, //31 August 2019, UT1-UTC=-0.1531259, Accumulated Leap Seconds=37 + { 2458727.50, 69.337633 }, //01 September 2019, UT1-UTC=-0.1536329, Accumulated Leap Seconds=37 + { 2458728.50, 69.338265 }, //02 September 2019, UT1-UTC=-0.1542651, Accumulated Leap Seconds=37 + { 2458729.50, 69.338814 }, //03 September 2019, UT1-UTC=-0.1548143, Accumulated Leap Seconds=37 + { 2458730.50, 69.339264 }, //04 September 2019, UT1-UTC=-0.1552635, Accumulated Leap Seconds=37 + { 2458731.50, 69.339524 }, //05 September 2019, UT1-UTC=-0.1555240, Accumulated Leap Seconds=37 + { 2458732.50, 69.339542 }, //06 September 2019, UT1-UTC=-0.1555421, Accumulated Leap Seconds=37 + { 2458733.50, 69.339368 }, //07 September 2019, UT1-UTC=-0.1553677, Accumulated Leap Seconds=37 + { 2458734.50, 69.339106 }, //08 September 2019, UT1-UTC=-0.1551056, Accumulated Leap Seconds=37 + { 2458735.50, 69.338717 }, //09 September 2019, UT1-UTC=-0.1547169, Accumulated Leap Seconds=37 + { 2458736.50, 69.338301 }, //10 September 2019, UT1-UTC=-0.1543014, Accumulated Leap Seconds=37 + { 2458737.50, 69.337939 }, //11 September 2019, UT1-UTC=-0.1539390, Accumulated Leap Seconds=37 + { 2458738.50, 69.337596 }, //12 September 2019, UT1-UTC=-0.1535956, Accumulated Leap Seconds=37 + { 2458739.50, 69.337369 }, //13 September 2019, UT1-UTC=-0.1533692, Accumulated Leap Seconds=37 + { 2458740.50, 69.337299 }, //14 September 2019, UT1-UTC=-0.1532988, Accumulated Leap Seconds=37 + { 2458741.50, 69.337325 }, //15 September 2019, UT1-UTC=-0.1533251, Accumulated Leap Seconds=37 + { 2458742.50, 69.337337 }, //16 September 2019, UT1-UTC=-0.1533367, Accumulated Leap Seconds=37 + { 2458743.50, 69.337324 }, //17 September 2019, UT1-UTC=-0.1533243, Accumulated Leap Seconds=37 + { 2458744.50, 69.337282 }, //18 September 2019, UT1-UTC=-0.1532823, Accumulated Leap Seconds=37 + { 2458745.50, 69.337151 }, //19 September 2019, UT1-UTC=-0.1531511, Accumulated Leap Seconds=37 + { 2458746.50, 69.336911 }, //20 September 2019, UT1-UTC=-0.1529114, Accumulated Leap Seconds=37 + { 2458747.50, 69.336552 }, //21 September 2019, UT1-UTC=-0.1525524, Accumulated Leap Seconds=37 + { 2458748.50, 69.336108 }, //22 September 2019, UT1-UTC=-0.1521081, Accumulated Leap Seconds=37 + { 2458749.50, 69.335646 }, //23 September 2019, UT1-UTC=-0.1516463, Accumulated Leap Seconds=37 + { 2458750.50, 69.335209 }, //24 September 2019, UT1-UTC=-0.1512088, Accumulated Leap Seconds=37 + { 2458751.50, 69.334915 }, //25 September 2019, UT1-UTC=-0.1509148, Accumulated Leap Seconds=37 + { 2458752.50, 69.334903 }, //26 September 2019, UT1-UTC=-0.1509029, Accumulated Leap Seconds=37 + { 2458753.50, 69.335215 }, //27 September 2019, UT1-UTC=-0.1512152, Accumulated Leap Seconds=37 + { 2458754.50, 69.335802 }, //28 September 2019, UT1-UTC=-0.1518024, Accumulated Leap Seconds=37 + { 2458755.50, 69.336506 }, //29 September 2019, UT1-UTC=-0.1525061, Accumulated Leap Seconds=37 + { 2458756.50, 69.337197 }, //30 September 2019, UT1-UTC=-0.1531969, Accumulated Leap Seconds=37 + { 2458757.50, 69.337742 }, //01 October 2019, UT1-UTC=-0.1537424, Accumulated Leap Seconds=37 + { 2458758.50, 69.337982 }, //02 October 2019, UT1-UTC=-0.1539819, Accumulated Leap Seconds=37 + { 2458759.50, 69.337930 }, //03 October 2019, UT1-UTC=-0.1539302, Accumulated Leap Seconds=37 + { 2458760.50, 69.337687 }, //04 October 2019, UT1-UTC=-0.1536867, Accumulated Leap Seconds=37 + { 2458761.50, 69.337299 }, //05 October 2019, UT1-UTC=-0.1532989, Accumulated Leap Seconds=37 + { 2458762.50, 69.336834 }, //06 October 2019, UT1-UTC=-0.1528341, Accumulated Leap Seconds=37 + { 2458763.50, 69.336374 }, //07 October 2019, UT1-UTC=-0.1523745, Accumulated Leap Seconds=37 + { 2458764.50, 69.335972 }, //08 October 2019, UT1-UTC=-0.1519718, Accumulated Leap Seconds=37 + { 2458765.50, 69.335646 }, //09 October 2019, UT1-UTC=-0.1516461, Accumulated Leap Seconds=37 + { 2458766.50, 69.335433 }, //10 October 2019, UT1-UTC=-0.1514326, Accumulated Leap Seconds=37 + { 2458767.50, 69.335374 }, //11 October 2019, UT1-UTC=-0.1513740, Accumulated Leap Seconds=37 + { 2458768.50, 69.335478 }, //12 October 2019, UT1-UTC=-0.1514780, Accumulated Leap Seconds=37 + { 2458769.50, 69.335673 }, //13 October 2019, UT1-UTC=-0.1516730, Accumulated Leap Seconds=37 + { 2458770.50, 69.335935 }, //14 October 2019, UT1-UTC=-0.1519347, Accumulated Leap Seconds=37 + { 2458771.50, 69.336240 }, //15 October 2019, UT1-UTC=-0.1522400, Accumulated Leap Seconds=37 + { 2458772.50, 69.336573 }, //16 October 2019, UT1-UTC=-0.1525734, Accumulated Leap Seconds=37 + { 2458773.50, 69.336884 }, //17 October 2019, UT1-UTC=-0.1528842, Accumulated Leap Seconds=37 + { 2458774.50, 69.337135 }, //18 October 2019, UT1-UTC=-0.1531350, Accumulated Leap Seconds=37 + { 2458775.50, 69.337321 }, //19 October 2019, UT1-UTC=-0.1533206, Accumulated Leap Seconds=37 + { 2458776.50, 69.337419 }, //20 October 2019, UT1-UTC=-0.1534187, Accumulated Leap Seconds=37 + { 2458777.50, 69.337490 }, //21 October 2019, UT1-UTC=-0.1534904, Accumulated Leap Seconds=37 + { 2458778.50, 69.337599 }, //22 October 2019, UT1-UTC=-0.1535986, Accumulated Leap Seconds=37 + { 2458779.50, 69.337818 }, //23 October 2019, UT1-UTC=-0.1538178, Accumulated Leap Seconds=37 + { 2458780.50, 69.338240 }, //24 October 2019, UT1-UTC=-0.1542404, Accumulated Leap Seconds=37 + { 2458781.50, 69.338915 }, //25 October 2019, UT1-UTC=-0.1549155, Accumulated Leap Seconds=37 + { 2458782.50, 69.339816 }, //26 October 2019, UT1-UTC=-0.1558157, Accumulated Leap Seconds=37 + { 2458783.50, 69.340812 }, //27 October 2019, UT1-UTC=-0.1568124, Accumulated Leap Seconds=37 + { 2458784.50, 69.341742 }, //28 October 2019, UT1-UTC=-0.1577418, Accumulated Leap Seconds=37 + { 2458785.50, 69.342452 }, //29 October 2019, UT1-UTC=-0.1584521, Accumulated Leap Seconds=37 + { 2458786.50, 69.342919 }, //30 October 2019, UT1-UTC=-0.1589190, Accumulated Leap Seconds=37 + { 2458787.50, 69.343150 }, //31 October 2019, UT1-UTC=-0.1591500, Accumulated Leap Seconds=37 + { 2458788.50, 69.343219 }, //01 November 2019, UT1-UTC=-0.1592191, Accumulated Leap Seconds=37 + { 2458789.50, 69.343203 }, //02 November 2019, UT1-UTC=-0.1592033, Accumulated Leap Seconds=37 + { 2458790.50, 69.343177 }, //03 November 2019, UT1-UTC=-0.1591771, Accumulated Leap Seconds=37 + { 2458791.50, 69.343217 }, //04 November 2019, UT1-UTC=-0.1592174, Accumulated Leap Seconds=37 + { 2458792.50, 69.343284 }, //05 November 2019, UT1-UTC=-0.1592844, Accumulated Leap Seconds=37 + { 2458793.50, 69.343451 }, //06 November 2019, UT1-UTC=-0.1594509, Accumulated Leap Seconds=37 + { 2458794.50, 69.343776 }, //07 November 2019, UT1-UTC=-0.1597762, Accumulated Leap Seconds=37 + { 2458795.50, 69.344251 }, //08 November 2019, UT1-UTC=-0.1602505, Accumulated Leap Seconds=37 + { 2458796.50, 69.344864 }, //09 November 2019, UT1-UTC=-0.1608641, Accumulated Leap Seconds=37 + { 2458797.50, 69.345559 }, //10 November 2019, UT1-UTC=-0.1615591, Accumulated Leap Seconds=37 + { 2458798.50, 69.346267 }, //11 November 2019, UT1-UTC=-0.1622667, Accumulated Leap Seconds=37 + { 2458799.50, 69.346901 }, //12 November 2019, UT1-UTC=-0.1629007, Accumulated Leap Seconds=37 + { 2458800.50, 69.347435 }, //13 November 2019, UT1-UTC=-0.1634352, Accumulated Leap Seconds=37 + { 2458801.50, 69.347865 }, //14 November 2019, UT1-UTC=-0.1638651, Accumulated Leap Seconds=37 + { 2458802.50, 69.348175 }, //15 November 2019, UT1-UTC=-0.1641749, Accumulated Leap Seconds=37 + { 2458803.50, 69.348388 }, //16 November 2019, UT1-UTC=-0.1643885, Accumulated Leap Seconds=37 + { 2458804.50, 69.348470 }, //17 November 2019, UT1-UTC=-0.1644699, Accumulated Leap Seconds=37 + { 2458805.50, 69.348518 }, //18 November 2019, UT1-UTC=-0.1645181, Accumulated Leap Seconds=37 + { 2458806.50, 69.348658 }, //19 November 2019, UT1-UTC=-0.1646584, Accumulated Leap Seconds=37 + { 2458807.50, 69.348964 }, //20 November 2019, UT1-UTC=-0.1649642, Accumulated Leap Seconds=37 + { 2458808.50, 69.349553 }, //21 November 2019, UT1-UTC=-0.1655534, Accumulated Leap Seconds=37 + { 2458809.50, 69.350340 }, //22 November 2019, UT1-UTC=-0.1663395, Accumulated Leap Seconds=37 + { 2458810.50, 69.351211 }, //23 November 2019, UT1-UTC=-0.1672110, Accumulated Leap Seconds=37 + { 2458811.50, 69.352096 }, //24 November 2019, UT1-UTC=-0.1680955, Accumulated Leap Seconds=37 + { 2458812.50, 69.352901 }, //25 November 2019, UT1-UTC=-0.1689013, Accumulated Leap Seconds=37 + { 2458813.50, 69.353475 }, //26 November 2019, UT1-UTC=-0.1694753, Accumulated Leap Seconds=37 + { 2458814.50, 69.353787 }, //27 November 2019, UT1-UTC=-0.1697867, Accumulated Leap Seconds=37 + { 2458815.50, 69.353946 }, //28 November 2019, UT1-UTC=-0.1699463, Accumulated Leap Seconds=37 + { 2458816.50, 69.354020 }, //29 November 2019, UT1-UTC=-0.1700196, Accumulated Leap Seconds=37 + { 2458817.50, 69.354032 }, //30 November 2019, UT1-UTC=-0.1700320, Accumulated Leap Seconds=37 + { 2458818.50, 69.354014 }, //01 December 2019, UT1-UTC=-0.1700144, Accumulated Leap Seconds=37 + { 2458819.50, 69.354067 }, //02 December 2019, UT1-UTC=-0.1700672, Accumulated Leap Seconds=37 + { 2458820.50, 69.354205 }, //03 December 2019, UT1-UTC=-0.1702051, Accumulated Leap Seconds=37 + { 2458821.50, 69.354424 }, //04 December 2019, UT1-UTC=-0.1704239, Accumulated Leap Seconds=37 + { 2458822.50, 69.354692 }, //05 December 2019, UT1-UTC=-0.1706918, Accumulated Leap Seconds=37 + { 2458823.50, 69.355027 }, //06 December 2019, UT1-UTC=-0.1710269, Accumulated Leap Seconds=37 + { 2458824.50, 69.355423 }, //07 December 2019, UT1-UTC=-0.1714231, Accumulated Leap Seconds=37 + { 2458825.50, 69.355864 }, //08 December 2019, UT1-UTC=-0.1718637, Accumulated Leap Seconds=37 + { 2458826.50, 69.356268 }, //09 December 2019, UT1-UTC=-0.1722681, Accumulated Leap Seconds=37 + { 2458827.50, 69.356535 }, //10 December 2019, UT1-UTC=-0.1725355, Accumulated Leap Seconds=37 + { 2458828.50, 69.356624 }, //11 December 2019, UT1-UTC=-0.1726237, Accumulated Leap Seconds=37 + { 2458829.50, 69.356599 }, //12 December 2019, UT1-UTC=-0.1725987, Accumulated Leap Seconds=37 + { 2458830.50, 69.356460 }, //13 December 2019, UT1-UTC=-0.1724603, Accumulated Leap Seconds=37 + { 2458831.50, 69.356275 }, //14 December 2019, UT1-UTC=-0.1722749, Accumulated Leap Seconds=37 + { 2458832.50, 69.356102 }, //15 December 2019, UT1-UTC=-0.1721025, Accumulated Leap Seconds=37 + { 2458833.50, 69.355998 }, //16 December 2019, UT1-UTC=-0.1719983, Accumulated Leap Seconds=37 + { 2458834.50, 69.356034 }, //17 December 2019, UT1-UTC=-0.1720340, Accumulated Leap Seconds=37 + { 2458835.50, 69.356248 }, //18 December 2019, UT1-UTC=-0.1722479, Accumulated Leap Seconds=37 + { 2458836.50, 69.356718 }, //19 December 2019, UT1-UTC=-0.1727185, Accumulated Leap Seconds=37 + { 2458837.50, 69.357355 }, //20 December 2019, UT1-UTC=-0.1733550, Accumulated Leap Seconds=37 + { 2458838.50, 69.358038 }, //21 December 2019, UT1-UTC=-0.1740384, Accumulated Leap Seconds=37 + { 2458839.50, 69.358719 }, //22 December 2019, UT1-UTC=-0.1747194, Accumulated Leap Seconds=37 + { 2458840.50, 69.359312 }, //23 December 2019, UT1-UTC=-0.1753123, Accumulated Leap Seconds=37 + { 2458841.50, 69.359757 }, //24 December 2019, UT1-UTC=-0.1757574, Accumulated Leap Seconds=37 + { 2458842.50, 69.360024 }, //25 December 2019, UT1-UTC=-0.1760245, Accumulated Leap Seconds=37 + { 2458843.50, 69.360146 }, //26 December 2019, UT1-UTC=-0.1761465, Accumulated Leap Seconds=37 + { 2458844.50, 69.360209 }, //27 December 2019, UT1-UTC=-0.1762087, Accumulated Leap Seconds=37 + { 2458845.50, 69.360251 }, //28 December 2019, UT1-UTC=-0.1762508, Accumulated Leap Seconds=37 + { 2458846.50, 69.360326 }, //29 December 2019, UT1-UTC=-0.1763259, Accumulated Leap Seconds=37 + { 2458847.50, 69.360492 }, //30 December 2019, UT1-UTC=-0.1764922, Accumulated Leap Seconds=37 + { 2458848.50, 69.360769 }, //31 December 2019, UT1-UTC=-0.1767688, Accumulated Leap Seconds=37 + { 2458849.50, 69.361155 }, //01 January 2020, UT1-UTC=-0.1771554, Accumulated Leap Seconds=37 + { 2458850.50, 69.361627 }, //02 January 2020, UT1-UTC=-0.1776274, Accumulated Leap Seconds=37 + { 2458851.50, 69.362115 }, //03 January 2020, UT1-UTC=-0.1781148, Accumulated Leap Seconds=37 + { 2458852.50, 69.362589 }, //04 January 2020, UT1-UTC=-0.1785885, Accumulated Leap Seconds=37 + { 2458853.50, 69.363082 }, //05 January 2020, UT1-UTC=-0.1790818, Accumulated Leap Seconds=37 + { 2458854.50, 69.363428 }, //06 January 2020, UT1-UTC=-0.1794276, Accumulated Leap Seconds=37 + { 2458855.50, 69.363551 }, //07 January 2020, UT1-UTC=-0.1795514, Accumulated Leap Seconds=37 + { 2458856.50, 69.363530 }, //08 January 2020, UT1-UTC=-0.1795302, Accumulated Leap Seconds=37 + { 2458857.50, 69.363375 }, //09 January 2020, UT1-UTC=-0.1793750, Accumulated Leap Seconds=37 + { 2458858.50, 69.363117 }, //10 January 2020, UT1-UTC=-0.1791174, Accumulated Leap Seconds=37 + { 2458859.50, 69.362879 }, //11 January 2020, UT1-UTC=-0.1788786, Accumulated Leap Seconds=37 + { 2458860.50, 69.362790 }, //12 January 2020, UT1-UTC=-0.1787902, Accumulated Leap Seconds=37 + { 2458861.50, 69.362938 }, //13 January 2020, UT1-UTC=-0.1789375, Accumulated Leap Seconds=37 + { 2458862.50, 69.363328 }, //14 January 2020, UT1-UTC=-0.1793277, Accumulated Leap Seconds=37 + { 2458863.50, 69.363964 }, //15 January 2020, UT1-UTC=-0.1799645, Accumulated Leap Seconds=37 + { 2458864.50, 69.364793 }, //16 January 2020, UT1-UTC=-0.1807929, Accumulated Leap Seconds=37 + { 2458865.50, 69.365743 }, //17 January 2020, UT1-UTC=-0.1817427, Accumulated Leap Seconds=37 + { 2458866.50, 69.366785 }, //18 January 2020, UT1-UTC=-0.1827849, Accumulated Leap Seconds=37 + { 2458867.50, 69.367757 }, //19 January 2020, UT1-UTC=-0.1837574, Accumulated Leap Seconds=37 + { 2458868.50, 69.368602 }, //20 January 2020, UT1-UTC=-0.1846024, Accumulated Leap Seconds=37 + { 2458869.50, 69.369284 }, //21 January 2020, UT1-UTC=-0.1852838, Accumulated Leap Seconds=37 + { 2458870.50, 69.369801 }, //22 January 2020, UT1-UTC=-0.1858012, Accumulated Leap Seconds=37 + { 2458871.50, 69.370164 }, //23 January 2020, UT1-UTC=-0.1861639, Accumulated Leap Seconds=37 + { 2458872.50, 69.370469 }, //24 January 2020, UT1-UTC=-0.1864690, Accumulated Leap Seconds=37 + { 2458873.50, 69.370784 }, //25 January 2020, UT1-UTC=-0.1867835, Accumulated Leap Seconds=37 + { 2458874.50, 69.371192 }, //26 January 2020, UT1-UTC=-0.1871917, Accumulated Leap Seconds=37 + { 2458875.50, 69.371708 }, //27 January 2020, UT1-UTC=-0.1877080, Accumulated Leap Seconds=37 + { 2458876.50, 69.372327 }, //28 January 2020, UT1-UTC=-0.1883268, Accumulated Leap Seconds=37 + { 2458877.50, 69.373052 }, //29 January 2020, UT1-UTC=-0.1890522, Accumulated Leap Seconds=37 + { 2458878.50, 69.373813 }, //30 January 2020, UT1-UTC=-0.1898134, Accumulated Leap Seconds=37 + { 2458879.50, 69.374520 }, //31 January 2020, UT1-UTC=-0.1905200, Accumulated Leap Seconds=37 + { 2458880.50, 69.375170 }, //01 February 2020, UT1-UTC=-0.1911703, Accumulated Leap Seconds=37 + { 2458881.50, 69.375720 }, //02 February 2020, UT1-UTC=-0.1917202, Accumulated Leap Seconds=37 + { 2458882.50, 69.376187 }, //03 February 2020, UT1-UTC=-0.1921865, Accumulated Leap Seconds=37 + { 2458883.50, 69.376514 }, //04 February 2020, UT1-UTC=-0.1925140, Accumulated Leap Seconds=37 + { 2458884.50, 69.376715 }, //05 February 2020, UT1-UTC=-0.1927151, Accumulated Leap Seconds=37 + { 2458885.50, 69.376845 }, //06 February 2020, UT1-UTC=-0.1928451, Accumulated Leap Seconds=37 + { 2458886.50, 69.376930 }, //07 February 2020, UT1-UTC=-0.1929304, Accumulated Leap Seconds=37 + { 2458887.50, 69.377019 }, //08 February 2020, UT1-UTC=-0.1930187, Accumulated Leap Seconds=37 + { 2458888.50, 69.377268 }, //09 February 2020, UT1-UTC=-0.1932681, Accumulated Leap Seconds=37 + { 2458889.50, 69.377793 }, //10 February 2020, UT1-UTC=-0.1937929, Accumulated Leap Seconds=37 + { 2458890.50, 69.378581 }, //11 February 2020, UT1-UTC=-0.1945811, Accumulated Leap Seconds=37 + { 2458891.50, 69.379552 }, //12 February 2020, UT1-UTC=-0.1955524, Accumulated Leap Seconds=37 + { 2458892.50, 69.380540 }, //13 February 2020, UT1-UTC=-0.1965396, Accumulated Leap Seconds=37 + { 2458893.50, 69.381428 }, //14 February 2020, UT1-UTC=-0.1974284, Accumulated Leap Seconds=37 + { 2458894.50, 69.382113 }, //15 February 2020, UT1-UTC=-0.1981127, Accumulated Leap Seconds=37 + { 2458895.50, 69.382629 }, //16 February 2020, UT1-UTC=-0.1986289, Accumulated Leap Seconds=37 + { 2458896.50, 69.382940 }, //17 February 2020, UT1-UTC=-0.1989401, Accumulated Leap Seconds=37 + { 2458897.50, 69.383076 }, //18 February 2020, UT1-UTC=-0.1990761, Accumulated Leap Seconds=37 + { 2458898.50, 69.383126 }, //19 February 2020, UT1-UTC=-0.1991257, Accumulated Leap Seconds=37 + { 2458899.50, 69.383152 }, //20 February 2020, UT1-UTC=-0.1991524, Accumulated Leap Seconds=37 + { 2458900.50, 69.383237 }, //21 February 2020, UT1-UTC=-0.1992371, Accumulated Leap Seconds=37 + { 2458901.50, 69.383508 }, //22 February 2020, UT1-UTC=-0.1995078, Accumulated Leap Seconds=37 + { 2458902.50, 69.383974 }, //23 February 2020, UT1-UTC=-0.1999742, Accumulated Leap Seconds=37 + { 2458903.50, 69.384575 }, //24 February 2020, UT1-UTC=-0.2005754, Accumulated Leap Seconds=37 + { 2458904.50, 69.385249 }, //25 February 2020, UT1-UTC=-0.2012489, Accumulated Leap Seconds=37 + { 2458905.50, 69.385971 }, //26 February 2020, UT1-UTC=-0.2019712, Accumulated Leap Seconds=37 + { 2458906.50, 69.386736 }, //27 February 2020, UT1-UTC=-0.2027359, Accumulated Leap Seconds=37 + { 2458907.50, 69.387521 }, //28 February 2020, UT1-UTC=-0.2035207, Accumulated Leap Seconds=37 + { 2458908.50, 69.388280 }, //29 February 2020, UT1-UTC=-0.2042796, Accumulated Leap Seconds=37 + { 2458909.50, 69.388990 }, //01 March 2020, UT1-UTC=-0.2049904, Accumulated Leap Seconds=37 + { 2458910.50, 69.389625 }, //02 March 2020, UT1-UTC=-0.2056255, Accumulated Leap Seconds=37 + { 2458911.50, 69.390169 }, //03 March 2020, UT1-UTC=-0.2061689, Accumulated Leap Seconds=37 + { 2458912.50, 69.390666 }, //04 March 2020, UT1-UTC=-0.2066659, Accumulated Leap Seconds=37 + { 2458913.50, 69.391141 }, //05 March 2020, UT1-UTC=-0.2071407, Accumulated Leap Seconds=37 + { 2458914.50, 69.391683 }, //06 March 2020, UT1-UTC=-0.2076825, Accumulated Leap Seconds=37 + { 2458915.50, 69.392381 }, //07 March 2020, UT1-UTC=-0.2083814, Accumulated Leap Seconds=37 + { 2458916.50, 69.393258 }, //08 March 2020, UT1-UTC=-0.2092576, Accumulated Leap Seconds=37 + { 2458917.50, 69.394358 }, //09 March 2020, UT1-UTC=-0.2103578, Accumulated Leap Seconds=37 + { 2458918.50, 69.395715 }, //10 March 2020, UT1-UTC=-0.2117147, Accumulated Leap Seconds=37 + { 2458919.50, 69.397267 }, //11 March 2020, UT1-UTC=-0.2132675, Accumulated Leap Seconds=37 + { 2458920.50, 69.398795 }, //12 March 2020, UT1-UTC=-0.2147950, Accumulated Leap Seconds=37 + { 2458921.50, 69.400140 }, //13 March 2020, UT1-UTC=-0.2161404, Accumulated Leap Seconds=37 + { 2458922.50, 69.401282 }, //14 March 2020, UT1-UTC=-0.2172820, Accumulated Leap Seconds=37 + { 2458923.50, 69.402166 }, //15 March 2020, UT1-UTC=-0.2181664, Accumulated Leap Seconds=37 + { 2458924.50, 69.402794 }, //16 March 2020, UT1-UTC=-0.2187942, Accumulated Leap Seconds=37 + { 2458925.50, 69.403272 }, //17 March 2020, UT1-UTC=-0.2192723, Accumulated Leap Seconds=37 + { 2458926.50, 69.403647 }, //18 March 2020, UT1-UTC=-0.2196470, Accumulated Leap Seconds=37 + { 2458927.50, 69.403942 }, //19 March 2020, UT1-UTC=-0.2199424, Accumulated Leap Seconds=37 + { 2458928.50, 69.404242 }, //20 March 2020, UT1-UTC=-0.2202417, Accumulated Leap Seconds=37 + { 2458929.50, 69.404585 }, //21 March 2020, UT1-UTC=-0.2205851, Accumulated Leap Seconds=37 + { 2458930.50, 69.404949 }, //22 March 2020, UT1-UTC=-0.2209490, Accumulated Leap Seconds=37 + { 2458931.50, 69.405378 }, //23 March 2020, UT1-UTC=-0.2213784, Accumulated Leap Seconds=37 + { 2458932.50, 69.405931 }, //24 March 2020, UT1-UTC=-0.2219310, Accumulated Leap Seconds=37 + { 2458933.50, 69.406494 }, //25 March 2020, UT1-UTC=-0.2224940, Accumulated Leap Seconds=37 + { 2458934.50, 69.407053 }, //26 March 2020, UT1-UTC=-0.2230530, Accumulated Leap Seconds=37 + { 2458935.50, 69.407573 }, //27 March 2020, UT1-UTC=-0.2235729, Accumulated Leap Seconds=37 + { 2458936.50, 69.408033 }, //28 March 2020, UT1-UTC=-0.2240333, Accumulated Leap Seconds=37 + { 2458937.50, 69.408433 }, //29 March 2020, UT1-UTC=-0.2244327, Accumulated Leap Seconds=37 + { 2458938.50, 69.408710 }, //30 March 2020, UT1-UTC=-0.2247096, Accumulated Leap Seconds=37 + { 2458939.50, 69.408943 }, //31 March 2020, UT1-UTC=-0.2249429, Accumulated Leap Seconds=37 + { 2458940.50, 69.409164 }, //01 April 2020, UT1-UTC=-0.2251639, Accumulated Leap Seconds=37 + { 2458941.50, 69.409438 }, //02 April 2020, UT1-UTC=-0.2254376, Accumulated Leap Seconds=37 + { 2458942.50, 69.409815 }, //03 April 2020, UT1-UTC=-0.2258149, Accumulated Leap Seconds=37 + { 2458943.50, 69.410426 }, //04 April 2020, UT1-UTC=-0.2264256, Accumulated Leap Seconds=37 + { 2458944.50, 69.411327 }, //05 April 2020, UT1-UTC=-0.2273265, Accumulated Leap Seconds=37 + { 2458945.50, 69.412545 }, //06 April 2020, UT1-UTC=-0.2285447, Accumulated Leap Seconds=37 + { 2458946.50, 69.414009 }, //07 April 2020, UT1-UTC=-0.2300093, Accumulated Leap Seconds=37 + { 2458947.50, 69.415621 }, //08 April 2020, UT1-UTC=-0.2316212, Accumulated Leap Seconds=37 + { 2458948.50, 69.417204 }, //09 April 2020, UT1-UTC=-0.2332043, Accumulated Leap Seconds=37 + { 2458949.50, 69.418632 }, //10 April 2020, UT1-UTC=-0.2346315, Accumulated Leap Seconds=37 + { 2458950.50, 69.419776 }, //11 April 2020, UT1-UTC=-0.2357756, Accumulated Leap Seconds=37 + { 2458951.50, 69.420627 }, //12 April 2020, UT1-UTC=-0.2366269, Accumulated Leap Seconds=37 + { 2458952.50, 69.421231 }, //13 April 2020, UT1-UTC=-0.2372315, Accumulated Leap Seconds=37 + { 2458953.50, 69.421621 }, //14 April 2020, UT1-UTC=-0.2376207, Accumulated Leap Seconds=37 + { 2458954.50, 69.421856 }, //15 April 2020, UT1-UTC=-0.2378557, Accumulated Leap Seconds=37 + { 2458955.50, 69.422017 }, //16 April 2020, UT1-UTC=-0.2380168, Accumulated Leap Seconds=37 + { 2458956.50, 69.422233 }, //17 April 2020, UT1-UTC=-0.2382326, Accumulated Leap Seconds=37 + { 2458957.50, 69.422573 }, //18 April 2020, UT1-UTC=-0.2385729, Accumulated Leap Seconds=37 + { 2458958.50, 69.423014 }, //19 April 2020, UT1-UTC=-0.2390137, Accumulated Leap Seconds=37 + { 2458959.50, 69.423515 }, //20 April 2020, UT1-UTC=-0.2395153, Accumulated Leap Seconds=37 + { 2458960.50, 69.423995 }, //21 April 2020, UT1-UTC=-0.2399946, Accumulated Leap Seconds=37 + { 2458961.50, 69.424481 }, //22 April 2020, UT1-UTC=-0.2404811, Accumulated Leap Seconds=37 + { 2458962.50, 69.424961 }, //23 April 2020, UT1-UTC=-0.2409606, Accumulated Leap Seconds=37 + { 2458963.50, 69.425370 }, //24 April 2020, UT1-UTC=-0.2413705, Accumulated Leap Seconds=37 + { 2458964.50, 69.425680 }, //25 April 2020, UT1-UTC=-0.2416796, Accumulated Leap Seconds=37 + { 2458965.50, 69.425868 }, //26 April 2020, UT1-UTC=-0.2418681, Accumulated Leap Seconds=37 + { 2458966.50, 69.425977 }, //27 April 2020, UT1-UTC=-0.2419768, Accumulated Leap Seconds=37 + { 2458967.50, 69.426069 }, //28 April 2020, UT1-UTC=-0.2420687, Accumulated Leap Seconds=37 + { 2458968.50, 69.426135 }, //29 April 2020, UT1-UTC=-0.2421354, Accumulated Leap Seconds=37 + { 2458969.50, 69.426237 }, //30 April 2020, UT1-UTC=-0.2422373, Accumulated Leap Seconds=37 + { 2458970.50, 69.426466 }, //01 May 2020, UT1-UTC=-0.2424662, Accumulated Leap Seconds=37 + { 2458971.50, 69.426919 }, //02 May 2020, UT1-UTC=-0.2429192, Accumulated Leap Seconds=37 + { 2458972.50, 69.427644 }, //03 May 2020, UT1-UTC=-0.2436439, Accumulated Leap Seconds=37 + { 2458973.50, 69.428598 }, //04 May 2020, UT1-UTC=-0.2445982, Accumulated Leap Seconds=37 + { 2458974.50, 69.429674 }, //05 May 2020, UT1-UTC=-0.2456736, Accumulated Leap Seconds=37 + { 2458975.50, 69.430782 }, //06 May 2020, UT1-UTC=-0.2467817, Accumulated Leap Seconds=37 + { 2458976.50, 69.431845 }, //07 May 2020, UT1-UTC=-0.2478452, Accumulated Leap Seconds=37 + { 2458977.50, 69.432699 }, //08 May 2020, UT1-UTC=-0.2486991, Accumulated Leap Seconds=37 + { 2458978.50, 69.433290 }, //09 May 2020, UT1-UTC=-0.2492900, Accumulated Leap Seconds=37 + { 2458979.50, 69.433739 }, //10 May 2020, UT1-UTC=-0.2497392, Accumulated Leap Seconds=37 + { 2458980.50, 69.433995 }, //11 May 2020, UT1-UTC=-0.2499950, Accumulated Leap Seconds=37 + { 2458981.50, 69.434153 }, //12 May 2020, UT1-UTC=-0.2501527, Accumulated Leap Seconds=37 + { 2458982.50, 69.434330 }, //13 May 2020, UT1-UTC=-0.2503303, Accumulated Leap Seconds=37 + { 2458983.50, 69.434535 }, //14 May 2020, UT1-UTC=-0.2505353, Accumulated Leap Seconds=37 + { 2458984.50, 69.434752 }, //15 May 2020, UT1-UTC=-0.2507515, Accumulated Leap Seconds=37 + { 2458985.50, 69.435076 }, //16 May 2020, UT1-UTC=-0.2510759, Accumulated Leap Seconds=37 + { 2458986.50, 69.435486 }, //17 May 2020, UT1-UTC=-0.2514862, Accumulated Leap Seconds=37 + { 2458987.50, 69.436004 }, //18 May 2020, UT1-UTC=-0.2520039, Accumulated Leap Seconds=37 + { 2458988.50, 69.436609 }, //19 May 2020, UT1-UTC=-0.2526091, Accumulated Leap Seconds=37 + { 2458989.50, 69.437142 }, //20 May 2020, UT1-UTC=-0.2531420, Accumulated Leap Seconds=37 + { 2458990.50, 69.437620 }, //21 May 2020, UT1-UTC=-0.2536200, Accumulated Leap Seconds=37 + { 2458991.50, 69.437967 }, //22 May 2020, UT1-UTC=-0.2539670, Accumulated Leap Seconds=37 + { 2458992.50, 69.438144 }, //23 May 2020, UT1-UTC=-0.2541436, Accumulated Leap Seconds=37 + { 2458993.50, 69.438153 }, //24 May 2020, UT1-UTC=-0.2541533, Accumulated Leap Seconds=37 + { 2458994.50, 69.438012 }, //25 May 2020, UT1-UTC=-0.2540118, Accumulated Leap Seconds=37 + { 2458995.50, 69.437832 }, //26 May 2020, UT1-UTC=-0.2538321, Accumulated Leap Seconds=37 + { 2458996.50, 69.437679 }, //27 May 2020, UT1-UTC=-0.2536790, Accumulated Leap Seconds=37 + { 2458997.50, 69.437550 }, //28 May 2020, UT1-UTC=-0.2535495, Accumulated Leap Seconds=37 + { 2458998.50, 69.437550 }, //29 May 2020, UT1-UTC=-0.2535504, Accumulated Leap Seconds=37 + { 2458999.50, 69.437714 }, //30 May 2020, UT1-UTC=-0.2537140, Accumulated Leap Seconds=37 + { 2459000.50, 69.438087 }, //31 May 2020, UT1-UTC=-0.2540873, Accumulated Leap Seconds=37 + { 2459001.50, 69.438633 }, //01 June 2020, UT1-UTC=-0.2546335, Accumulated Leap Seconds=37 + { 2459002.50, 69.439252 }, //02 June 2020, UT1-UTC=-0.2552518, Accumulated Leap Seconds=37 + { 2459003.50, 69.439800 }, //03 June 2020, UT1-UTC=-0.2558002, Accumulated Leap Seconds=37 + { 2459004.50, 69.440136 }, //04 June 2020, UT1-UTC=-0.2561358, Accumulated Leap Seconds=37 + { 2459005.50, 69.440208 }, //05 June 2020, UT1-UTC=-0.2562081, Accumulated Leap Seconds=37 + { 2459006.50, 69.440053 }, //06 June 2020, UT1-UTC=-0.2560530, Accumulated Leap Seconds=37 + { 2459007.50, 69.439689 }, //07 June 2020, UT1-UTC=-0.2556889, Accumulated Leap Seconds=37 + { 2459008.50, 69.439185 }, //08 June 2020, UT1-UTC=-0.2551855, Accumulated Leap Seconds=37 + { 2459009.50, 69.438626 }, //09 June 2020, UT1-UTC=-0.2546259, Accumulated Leap Seconds=37 + { 2459010.50, 69.437981 }, //10 June 2020, UT1-UTC=-0.2539811, Accumulated Leap Seconds=37 + { 2459011.50, 69.437376 }, //11 June 2020, UT1-UTC=-0.2533761, Accumulated Leap Seconds=37 + { 2459012.50, 69.436731 }, //12 June 2020, UT1-UTC=-0.2527310, Accumulated Leap Seconds=37 + { 2459013.50, 69.436098 }, //13 June 2020, UT1-UTC=-0.2520982, Accumulated Leap Seconds=37 + { 2459014.50, 69.435564 }, //14 June 2020, UT1-UTC=-0.2515642, Accumulated Leap Seconds=37 + { 2459015.50, 69.435133 }, //15 June 2020, UT1-UTC=-0.2511335, Accumulated Leap Seconds=37 + { 2459016.50, 69.434749 }, //16 June 2020, UT1-UTC=-0.2507493, Accumulated Leap Seconds=37 + { 2459017.50, 69.434280 }, //17 June 2020, UT1-UTC=-0.2502801, Accumulated Leap Seconds=37 + { 2459018.50, 69.433709 }, //18 June 2020, UT1-UTC=-0.2497090, Accumulated Leap Seconds=37 + { 2459019.50, 69.433032 }, //19 June 2020, UT1-UTC=-0.2490317, Accumulated Leap Seconds=37 + { 2459020.50, 69.432102 }, //20 June 2020, UT1-UTC=-0.2481022, Accumulated Leap Seconds=37 + { 2459021.50, 69.431045 }, //21 June 2020, UT1-UTC=-0.2470448, Accumulated Leap Seconds=37 + { 2459022.50, 69.429886 }, //22 June 2020, UT1-UTC=-0.2458865, Accumulated Leap Seconds=37 + { 2459023.50, 69.428702 }, //23 June 2020, UT1-UTC=-0.2447016, Accumulated Leap Seconds=37 + { 2459024.50, 69.427573 }, //24 June 2020, UT1-UTC=-0.2435726, Accumulated Leap Seconds=37 + { 2459025.50, 69.426600 }, //25 June 2020, UT1-UTC=-0.2426000, Accumulated Leap Seconds=37 + { 2459026.50, 69.425866 }, //26 June 2020, UT1-UTC=-0.2418664, Accumulated Leap Seconds=37 + { 2459027.50, 69.425362 }, //27 June 2020, UT1-UTC=-0.2413618, Accumulated Leap Seconds=37 + { 2459028.50, 69.425025 }, //28 June 2020, UT1-UTC=-0.2410246, Accumulated Leap Seconds=37 + { 2459029.50, 69.424810 }, //29 June 2020, UT1-UTC=-0.2408104, Accumulated Leap Seconds=37 + { 2459030.50, 69.424568 }, //30 June 2020, UT1-UTC=-0.2405680, Accumulated Leap Seconds=37 + { 2459031.50, 69.424133 }, //01 July 2020, UT1-UTC=-0.2401335, Accumulated Leap Seconds=37 + { 2459032.50, 69.423485 }, //02 July 2020, UT1-UTC=-0.2394847, Accumulated Leap Seconds=37 + { 2459033.50, 69.422600 }, //03 July 2020, UT1-UTC=-0.2385999, Accumulated Leap Seconds=37 + { 2459034.50, 69.421499 }, //04 July 2020, UT1-UTC=-0.2374993, Accumulated Leap Seconds=37 + { 2459035.50, 69.420218 }, //05 July 2020, UT1-UTC=-0.2362178, Accumulated Leap Seconds=37 + { 2459036.50, 69.418878 }, //06 July 2020, UT1-UTC=-0.2348785, Accumulated Leap Seconds=37 + { 2459037.50, 69.417601 }, //07 July 2020, UT1-UTC=-0.2336011, Accumulated Leap Seconds=37 + { 2459038.50, 69.416395 }, //08 July 2020, UT1-UTC=-0.2323948, Accumulated Leap Seconds=37 + { 2459039.50, 69.415266 }, //09 July 2020, UT1-UTC=-0.2312661, Accumulated Leap Seconds=37 + { 2459040.50, 69.414208 }, //10 July 2020, UT1-UTC=-0.2302077, Accumulated Leap Seconds=37 + { 2459041.50, 69.413242 }, //11 July 2020, UT1-UTC=-0.2292418, Accumulated Leap Seconds=37 + { 2459042.50, 69.412237 }, //12 July 2020, UT1-UTC=-0.2282373, Accumulated Leap Seconds=37 + { 2459043.50, 69.411192 }, //13 July 2020, UT1-UTC=-0.2271922, Accumulated Leap Seconds=37 + { 2459044.50, 69.410120 }, //14 July 2020, UT1-UTC=-0.2261196, Accumulated Leap Seconds=37 + { 2459045.50, 69.408965 }, //15 July 2020, UT1-UTC=-0.2249647, Accumulated Leap Seconds=37 + { 2459046.50, 69.407756 }, //16 July 2020, UT1-UTC=-0.2237563, Accumulated Leap Seconds=37 + { 2459047.50, 69.406474 }, //17 July 2020, UT1-UTC=-0.2224735, Accumulated Leap Seconds=37 + { 2459048.50, 69.405122 }, //18 July 2020, UT1-UTC=-0.2211221, Accumulated Leap Seconds=37 + { 2459049.50, 69.403697 }, //19 July 2020, UT1-UTC=-0.2196966, Accumulated Leap Seconds=37 + { 2459050.50, 69.402223 }, //20 July 2020, UT1-UTC=-0.2182229, Accumulated Leap Seconds=37 + { 2459051.50, 69.400857 }, //21 July 2020, UT1-UTC=-0.2168569, Accumulated Leap Seconds=37 + { 2459052.50, 69.399693 }, //22 July 2020, UT1-UTC=-0.2156934, Accumulated Leap Seconds=37 + { 2459053.50, 69.398740 }, //23 July 2020, UT1-UTC=-0.2147397, Accumulated Leap Seconds=37 + { 2459054.50, 69.397989 }, //24 July 2020, UT1-UTC=-0.2139895, Accumulated Leap Seconds=37 + { 2459055.50, 69.397428 }, //25 July 2020, UT1-UTC=-0.2134277, Accumulated Leap Seconds=37 + { 2459056.50, 69.396964 }, //26 July 2020, UT1-UTC=-0.2129642, Accumulated Leap Seconds=37 + { 2459057.50, 69.396451 }, //27 July 2020, UT1-UTC=-0.2124511, Accumulated Leap Seconds=37 + { 2459058.50, 69.395825 }, //28 July 2020, UT1-UTC=-0.2118250, Accumulated Leap Seconds=37 + { 2459059.50, 69.395086 }, //29 July 2020, UT1-UTC=-0.2110863, Accumulated Leap Seconds=37 + { 2459060.50, 69.394185 }, //30 July 2020, UT1-UTC=-0.2101852, Accumulated Leap Seconds=37 + { 2459061.50, 69.393173 }, //31 July 2020, UT1-UTC=-0.2091731, Accumulated Leap Seconds=37 + { 2459062.50, 69.392124 }, //01 August 2020, UT1-UTC=-0.2081241, Accumulated Leap Seconds=37 + { 2459063.50, 69.391052 }, //02 August 2020, UT1-UTC=-0.2070517, Accumulated Leap Seconds=37 + { 2459064.50, 69.390068 }, //03 August 2020, UT1-UTC=-0.2060679, Accumulated Leap Seconds=37 + { 2459065.50, 69.389219 }, //04 August 2020, UT1-UTC=-0.2052187, Accumulated Leap Seconds=37 + { 2459066.50, 69.388463 }, //05 August 2020, UT1-UTC=-0.2044629, Accumulated Leap Seconds=37 + { 2459067.50, 69.387881 }, //06 August 2020, UT1-UTC=-0.2038807, Accumulated Leap Seconds=37 + { 2459068.50, 69.387420 }, //07 August 2020, UT1-UTC=-0.2034204, Accumulated Leap Seconds=37 + { 2459069.50, 69.387041 }, //08 August 2020, UT1-UTC=-0.2030407, Accumulated Leap Seconds=37 + { 2459070.50, 69.386727 }, //09 August 2020, UT1-UTC=-0.2027274, Accumulated Leap Seconds=37 + { 2459071.50, 69.386337 }, //10 August 2020, UT1-UTC=-0.2023368, Accumulated Leap Seconds=37 + { 2459072.50, 69.385832 }, //11 August 2020, UT1-UTC=-0.2018318, Accumulated Leap Seconds=37 + { 2459073.50, 69.385197 }, //12 August 2020, UT1-UTC=-0.2011971, Accumulated Leap Seconds=37 + { 2459074.50, 69.384391 }, //13 August 2020, UT1-UTC=-0.2003908, Accumulated Leap Seconds=37 + { 2459075.50, 69.383493 }, //14 August 2020, UT1-UTC=-0.1994927, Accumulated Leap Seconds=37 + { 2459076.50, 69.382461 }, //15 August 2020, UT1-UTC=-0.1984615, Accumulated Leap Seconds=37 + { 2459077.50, 69.381279 }, //16 August 2020, UT1-UTC=-0.1972792, Accumulated Leap Seconds=37 + { 2459078.50, 69.380107 }, //17 August 2020, UT1-UTC=-0.1961068, Accumulated Leap Seconds=37 + { 2459079.50, 69.379096 }, //18 August 2020, UT1-UTC=-0.1950958, Accumulated Leap Seconds=37 + { 2459080.50, 69.378295 }, //19 August 2020, UT1-UTC=-0.1942946, Accumulated Leap Seconds=37 + { 2459081.50, 69.377665 }, //20 August 2020, UT1-UTC=-0.1936647, Accumulated Leap Seconds=37 + { 2459082.50, 69.377349 }, //21 August 2020, UT1-UTC=-0.1933494, Accumulated Leap Seconds=37 + { 2459083.50, 69.377238 }, //22 August 2020, UT1-UTC=-0.1932377, Accumulated Leap Seconds=37 + { 2459084.50, 69.377178 }, //23 August 2020, UT1-UTC=-0.1931778, Accumulated Leap Seconds=37 + { 2459085.50, 69.377031 }, //24 August 2020, UT1-UTC=-0.1930310, Accumulated Leap Seconds=37 + { 2459086.50, 69.376704 }, //25 August 2020, UT1-UTC=-0.1927039, Accumulated Leap Seconds=37 + { 2459087.50, 69.376095 }, //26 August 2020, UT1-UTC=-0.1920949, Accumulated Leap Seconds=37 + { 2459088.50, 69.375202 }, //27 August 2020, UT1-UTC=-0.1912021, Accumulated Leap Seconds=37 + { 2459089.50, 69.374122 }, //28 August 2020, UT1-UTC=-0.1901225, Accumulated Leap Seconds=37 + { 2459090.50, 69.372891 }, //29 August 2020, UT1-UTC=-0.1888915, Accumulated Leap Seconds=37 + { 2459091.50, 69.371601 }, //30 August 2020, UT1-UTC=-0.1876013, Accumulated Leap Seconds=37 + { 2459092.50, 69.370382 }, //31 August 2020, UT1-UTC=-0.1863822, Accumulated Leap Seconds=37 + { 2459093.50, 69.369342 }, //01 September 2020, UT1-UTC=-0.1853422, Accumulated Leap Seconds=37 + { 2459094.50, 69.368421 }, //02 September 2020, UT1-UTC=-0.1844207, Accumulated Leap Seconds=37 + { 2459095.50, 69.367644 }, //03 September 2020, UT1-UTC=-0.1836441, Accumulated Leap Seconds=37 + { 2459096.50, 69.367008 }, //04 September 2020, UT1-UTC=-0.1830079, Accumulated Leap Seconds=37 + { 2459097.50, 69.366438 }, //05 September 2020, UT1-UTC=-0.1824377, Accumulated Leap Seconds=37 + { 2459098.50, 69.365864 }, //06 September 2020, UT1-UTC=-0.1818637, Accumulated Leap Seconds=37 + { 2459099.50, 69.365304 }, //07 September 2020, UT1-UTC=-0.1813038, Accumulated Leap Seconds=37 + { 2459100.50, 69.364675 }, //08 September 2020, UT1-UTC=-0.1806747, Accumulated Leap Seconds=37 + { 2459101.50, 69.363960 }, //09 September 2020, UT1-UTC=-0.1799600, Accumulated Leap Seconds=37 + { 2459102.50, 69.363144 }, //10 September 2020, UT1-UTC=-0.1791442, Accumulated Leap Seconds=37 + { 2459103.50, 69.362349 }, //11 September 2020, UT1-UTC=-0.1783491, Accumulated Leap Seconds=37 + { 2459104.50, 69.361533 }, //12 September 2020, UT1-UTC=-0.1775331, Accumulated Leap Seconds=37 + { 2459105.50, 69.360742 }, //13 September 2020, UT1-UTC=-0.1767424, Accumulated Leap Seconds=37 + { 2459106.50, 69.360111 }, //14 September 2020, UT1-UTC=-0.1761111, Accumulated Leap Seconds=37 + { 2459107.50, 69.359711 }, //15 September 2020, UT1-UTC=-0.1757107, Accumulated Leap Seconds=37 + { 2459108.50, 69.359555 }, //16 September 2020, UT1-UTC=-0.1755555, Accumulated Leap Seconds=37 + { 2459109.50, 69.359676 }, //17 September 2020, UT1-UTC=-0.1756758, Accumulated Leap Seconds=37 + { 2459110.50, 69.359978 }, //18 September 2020, UT1-UTC=-0.1759784, Accumulated Leap Seconds=37 + { 2459111.50, 69.360403 }, //19 September 2020, UT1-UTC=-0.1764030, Accumulated Leap Seconds=37 + { 2459112.50, 69.360789 }, //20 September 2020, UT1-UTC=-0.1767895, Accumulated Leap Seconds=37 + { 2459113.50, 69.361006 }, //21 September 2020, UT1-UTC=-0.1770063, Accumulated Leap Seconds=37 + { 2459114.50, 69.361019 }, //22 September 2020, UT1-UTC=-0.1770188, Accumulated Leap Seconds=37 + { 2459115.50, 69.360811 }, //23 September 2020, UT1-UTC=-0.1768106, Accumulated Leap Seconds=37 + { 2459116.50, 69.360457 }, //24 September 2020, UT1-UTC=-0.1764569, Accumulated Leap Seconds=37 + { 2459117.50, 69.360008 }, //25 September 2020, UT1-UTC=-0.1760082, Accumulated Leap Seconds=37 + { 2459118.50, 69.359564 }, //26 September 2020, UT1-UTC=-0.1755640, Accumulated Leap Seconds=37 + { 2459119.50, 69.359037 }, //27 September 2020, UT1-UTC=-0.1750367, Accumulated Leap Seconds=37 + { 2459120.50, 69.358483 }, //28 September 2020, UT1-UTC=-0.1744831, Accumulated Leap Seconds=37 + { 2459121.50, 69.358055 }, //29 September 2020, UT1-UTC=-0.1740546, Accumulated Leap Seconds=37 + { 2459122.50, 69.357718 }, //30 September 2020, UT1-UTC=-0.1737183, Accumulated Leap Seconds=37 + { 2459123.50, 69.357478 }, //01 October 2020, UT1-UTC=-0.1734782, Accumulated Leap Seconds=37 + { 2459124.50, 69.357252 }, //02 October 2020, UT1-UTC=-0.1732518, Accumulated Leap Seconds=37 + { 2459125.50, 69.357089 }, //03 October 2020, UT1-UTC=-0.1730890, Accumulated Leap Seconds=37 + { 2459126.50, 69.356952 }, //04 October 2020, UT1-UTC=-0.1729516, Accumulated Leap Seconds=37 + { 2459127.50, 69.356781 }, //05 October 2020, UT1-UTC=-0.1727809, Accumulated Leap Seconds=37 + { 2459128.50, 69.356508 }, //06 October 2020, UT1-UTC=-0.1725084, Accumulated Leap Seconds=37 + { 2459129.50, 69.356119 }, //07 October 2020, UT1-UTC=-0.1721191, Accumulated Leap Seconds=37 + { 2459130.50, 69.355606 }, //08 October 2020, UT1-UTC=-0.1716062, Accumulated Leap Seconds=37 + { 2459131.50, 69.354953 }, //09 October 2020, UT1-UTC=-0.1709530, Accumulated Leap Seconds=37 + { 2459132.50, 69.354345 }, //10 October 2020, UT1-UTC=-0.1703455, Accumulated Leap Seconds=37 + { 2459133.50, 69.353833 }, //11 October 2020, UT1-UTC=-0.1698329, Accumulated Leap Seconds=37 + { 2459134.50, 69.353429 }, //12 October 2020, UT1-UTC=-0.1694286, Accumulated Leap Seconds=37 + { 2459135.50, 69.353290 }, //13 October 2020, UT1-UTC=-0.1692903, Accumulated Leap Seconds=37 + { 2459136.50, 69.353485 }, //14 October 2020, UT1-UTC=-0.1694855, Accumulated Leap Seconds=37 + { 2459137.50, 69.353928 }, //15 October 2020, UT1-UTC=-0.1699282, Accumulated Leap Seconds=37 + { 2459138.50, 69.354637 }, //16 October 2020, UT1-UTC=-0.1706366, Accumulated Leap Seconds=37 + { 2459139.50, 69.355433 }, //17 October 2020, UT1-UTC=-0.1714326, Accumulated Leap Seconds=37 + { 2459140.50, 69.356209 }, //18 October 2020, UT1-UTC=-0.1722094, Accumulated Leap Seconds=37 + { 2459141.50, 69.356737 }, //19 October 2020, UT1-UTC=-0.1727370, Accumulated Leap Seconds=37 + { 2459142.50, 69.357014 }, //20 October 2020, UT1-UTC=-0.1730140, Accumulated Leap Seconds=37 + { 2459143.50, 69.357091 }, //21 October 2020, UT1-UTC=-0.1730915, Accumulated Leap Seconds=37 + { 2459144.50, 69.357076 }, //22 October 2020, UT1-UTC=-0.1730757, Accumulated Leap Seconds=37 + { 2459145.50, 69.357119 }, //23 October 2020, UT1-UTC=-0.1731186, Accumulated Leap Seconds=37 + { 2459146.50, 69.357193 }, //24 October 2020, UT1-UTC=-0.1731930, Accumulated Leap Seconds=37 + { 2459147.50, 69.357321 }, //25 October 2020, UT1-UTC=-0.1733207, Accumulated Leap Seconds=37 + { 2459148.50, 69.357498 }, //26 October 2020, UT1-UTC=-0.1734985, Accumulated Leap Seconds=37 + { 2459149.50, 69.357762 }, //27 October 2020, UT1-UTC=-0.1737620, Accumulated Leap Seconds=37 + { 2459150.50, 69.358107 }, //28 October 2020, UT1-UTC=-0.1741066, Accumulated Leap Seconds=37 + { 2459151.50, 69.358464 }, //29 October 2020, UT1-UTC=-0.1744639, Accumulated Leap Seconds=37 + { 2459152.50, 69.358771 }, //30 October 2020, UT1-UTC=-0.1747709, Accumulated Leap Seconds=37 + { 2459153.50, 69.359062 }, //31 October 2020, UT1-UTC=-0.1750625, Accumulated Leap Seconds=37 + { 2459154.50, 69.359324 }, //01 November 2020, UT1-UTC=-0.1753242, Accumulated Leap Seconds=37 + { 2459155.50, 69.359492 }, //02 November 2020, UT1-UTC=-0.1754919, Accumulated Leap Seconds=37 + { 2459156.50, 69.359538 }, //03 November 2020, UT1-UTC=-0.1755382, Accumulated Leap Seconds=37 + { 2459157.50, 69.359484 }, //04 November 2020, UT1-UTC=-0.1754841, Accumulated Leap Seconds=37 + { 2459158.50, 69.359309 }, //05 November 2020, UT1-UTC=-0.1753093, Accumulated Leap Seconds=37 + { 2459159.50, 69.359030 }, //06 November 2020, UT1-UTC=-0.1750298, Accumulated Leap Seconds=37 + { 2459160.50, 69.358723 }, //07 November 2020, UT1-UTC=-0.1747231, Accumulated Leap Seconds=37 + { 2459161.50, 69.358517 }, //08 November 2020, UT1-UTC=-0.1745166, Accumulated Leap Seconds=37 + { 2459162.50, 69.358566 }, //09 November 2020, UT1-UTC=-0.1745658, Accumulated Leap Seconds=37 + { 2459163.50, 69.358925 }, //10 November 2020, UT1-UTC=-0.1749252, Accumulated Leap Seconds=37 + { 2459164.50, 69.359491 }, //11 November 2020, UT1-UTC=-0.1754913, Accumulated Leap Seconds=37 + { 2459165.50, 69.360261 }, //12 November 2020, UT1-UTC=-0.1762615, Accumulated Leap Seconds=37 + { 2459166.50, 69.361147 }, //13 November 2020, UT1-UTC=-0.1771474, Accumulated Leap Seconds=37 + { 2459167.50, 69.361973 }, //14 November 2020, UT1-UTC=-0.1779726, Accumulated Leap Seconds=37 + { 2459168.50, 69.362636 }, //15 November 2020, UT1-UTC=-0.1786358, Accumulated Leap Seconds=37 + { 2459169.50, 69.363014 }, //16 November 2020, UT1-UTC=-0.1790143, Accumulated Leap Seconds=37 + { 2459170.50, 69.363119 }, //17 November 2020, UT1-UTC=-0.1791188, Accumulated Leap Seconds=37 + { 2459171.50, 69.363020 }, //18 November 2020, UT1-UTC=-0.1790201, Accumulated Leap Seconds=37 + { 2459172.50, 69.362745 }, //19 November 2020, UT1-UTC=-0.1787447, Accumulated Leap Seconds=37 + { 2459173.50, 69.362450 }, //20 November 2020, UT1-UTC=-0.1784505, Accumulated Leap Seconds=37 + { 2459174.50, 69.362194 }, //21 November 2020, UT1-UTC=-0.1781942, Accumulated Leap Seconds=37 + { 2459175.50, 69.362074 }, //22 November 2020, UT1-UTC=-0.1780743, Accumulated Leap Seconds=37 + { 2459176.50, 69.362147 }, //23 November 2020, UT1-UTC=-0.1781469, Accumulated Leap Seconds=37 + { 2459177.50, 69.362355 }, //24 November 2020, UT1-UTC=-0.1783547, Accumulated Leap Seconds=37 + { 2459178.50, 69.362641 }, //25 November 2020, UT1-UTC=-0.1786407, Accumulated Leap Seconds=37 + { 2459179.50, 69.362963 }, //26 November 2020, UT1-UTC=-0.1789629, Accumulated Leap Seconds=37 + { 2459180.50, 69.363135 }, //27 November 2020, UT1-UTC=-0.1791349, Accumulated Leap Seconds=37 + { 2459181.50, 69.363286 }, //28 November 2020, UT1-UTC=-0.1792864, Accumulated Leap Seconds=37 + { 2459182.50, 69.363305 }, //29 November 2020, UT1-UTC=-0.1793053, Accumulated Leap Seconds=37 + { 2459183.50, 69.363212 }, //30 November 2020, UT1-UTC=-0.1792119, Accumulated Leap Seconds=37 + { 2459184.50, 69.363024 }, //01 December 2020, UT1-UTC=-0.1790244, Accumulated Leap Seconds=37 + { 2459185.50, 69.362717 }, //02 December 2020, UT1-UTC=-0.1787170, Accumulated Leap Seconds=37 + { 2459186.50, 69.362321 }, //03 December 2020, UT1-UTC=-0.1783210, Accumulated Leap Seconds=37 + { 2459187.50, 69.361923 }, //04 December 2020, UT1-UTC=-0.1779234, Accumulated Leap Seconds=37 + { 2459188.50, 69.361628 }, //05 December 2020, UT1-UTC=-0.1776276, Accumulated Leap Seconds=37 + { 2459189.50, 69.361540 }, //06 December 2020, UT1-UTC=-0.1775402, Accumulated Leap Seconds=37 + { 2459190.50, 69.361646 }, //07 December 2020, UT1-UTC=-0.1776460, Accumulated Leap Seconds=37 + { 2459191.50, 69.361974 }, //08 December 2020, UT1-UTC=-0.1779740, Accumulated Leap Seconds=37 + { 2459192.50, 69.362494 }, //09 December 2020, UT1-UTC=-0.1784944, Accumulated Leap Seconds=37 + { 2459193.50, 69.363104 }, //10 December 2020, UT1-UTC=-0.1791038, Accumulated Leap Seconds=37 + { 2459194.50, 69.363735 }, //11 December 2020, UT1-UTC=-0.1797353, Accumulated Leap Seconds=37 + { 2459195.50, 69.364180 }, //12 December 2020, UT1-UTC=-0.1801801, Accumulated Leap Seconds=37 + { 2459196.50, 69.364399 }, //13 December 2020, UT1-UTC=-0.1803991, Accumulated Leap Seconds=37 + { 2459197.50, 69.364377 }, //14 December 2020, UT1-UTC=-0.1803768, Accumulated Leap Seconds=37 + { 2459198.50, 69.364117 }, //15 December 2020, UT1-UTC=-0.1801173, Accumulated Leap Seconds=37 + { 2459199.50, 69.363684 }, //16 December 2020, UT1-UTC=-0.1796837, Accumulated Leap Seconds=37 + { 2459200.50, 69.363165 }, //17 December 2020, UT1-UTC=-0.1791649, Accumulated Leap Seconds=37 + { 2459201.50, 69.362769 }, //18 December 2020, UT1-UTC=-0.1787687, Accumulated Leap Seconds=37 + { 2459202.50, 69.362462 }, //19 December 2020, UT1-UTC=-0.1784625, Accumulated Leap Seconds=37 + { 2459203.50, 69.362312 }, //20 December 2020, UT1-UTC=-0.1783116, Accumulated Leap Seconds=37 + { 2459204.50, 69.362298 }, //21 December 2020, UT1-UTC=-0.1782977, Accumulated Leap Seconds=37 + { 2459205.50, 69.362394 }, //22 December 2020, UT1-UTC=-0.1783938, Accumulated Leap Seconds=37 + { 2459206.50, 69.362563 }, //23 December 2020, UT1-UTC=-0.1785629, Accumulated Leap Seconds=37 + { 2459207.50, 69.362636 }, //24 December 2020, UT1-UTC=-0.1786356, Accumulated Leap Seconds=37 + { 2459208.50, 69.362635 }, //25 December 2020, UT1-UTC=-0.1786349, Accumulated Leap Seconds=37 + { 2459209.50, 69.362503 }, //26 December 2020, UT1-UTC=-0.1785028, Accumulated Leap Seconds=37 + { 2459210.50, 69.362208 }, //27 December 2020, UT1-UTC=-0.1782078, Accumulated Leap Seconds=37 + { 2459211.50, 69.361772 }, //28 December 2020, UT1-UTC=-0.1777715, Accumulated Leap Seconds=37 + { 2459212.50, 69.361239 }, //29 December 2020, UT1-UTC=-0.1772387, Accumulated Leap Seconds=37 + { 2459213.50, 69.360642 }, //30 December 2020, UT1-UTC=-0.1766424, Accumulated Leap Seconds=37 + { 2459214.50, 69.359981 }, //31 December 2020, UT1-UTC=-0.1759809, Accumulated Leap Seconds=37 + { 2459215.50, 69.359334 }, //01 January 2021, UT1-UTC=-0.1753340, Accumulated Leap Seconds=37 + { 2459216.50, 69.358812 }, //02 January 2021, UT1-UTC=-0.1748118, Accumulated Leap Seconds=37 + { 2459217.50, 69.358473 }, //03 January 2021, UT1-UTC=-0.1744728, Accumulated Leap Seconds=37 + { 2459218.50, 69.358326 }, //04 January 2021, UT1-UTC=-0.1743263, Accumulated Leap Seconds=37 + { 2459219.50, 69.358380 }, //05 January 2021, UT1-UTC=-0.1743799, Accumulated Leap Seconds=37 + { 2459220.50, 69.358574 }, //06 January 2021, UT1-UTC=-0.1745738, Accumulated Leap Seconds=37 + { 2459221.50, 69.358835 }, //07 January 2021, UT1-UTC=-0.1748355, Accumulated Leap Seconds=37 + { 2459222.50, 69.359060 }, //08 January 2021, UT1-UTC=-0.1750599, Accumulated Leap Seconds=37 + { 2459223.50, 69.359087 }, //09 January 2021, UT1-UTC=-0.1750871, Accumulated Leap Seconds=37 + { 2459224.50, 69.358867 }, //10 January 2021, UT1-UTC=-0.1748670, Accumulated Leap Seconds=37 + { 2459225.50, 69.358463 }, //11 January 2021, UT1-UTC=-0.1744634, Accumulated Leap Seconds=37 + { 2459226.50, 69.357966 }, //12 January 2021, UT1-UTC=-0.1739663, Accumulated Leap Seconds=37 + { 2459227.50, 69.357417 }, //13 January 2021, UT1-UTC=-0.1734174, Accumulated Leap Seconds=37 + { 2459228.50, 69.356884 }, //14 January 2021, UT1-UTC=-0.1728842, Accumulated Leap Seconds=37 + { 2459229.50, 69.356469 }, //15 January 2021, UT1-UTC=-0.1724694, Accumulated Leap Seconds=37 + { 2459230.50, 69.356040 }, //16 January 2021, UT1-UTC=-0.1720402, Accumulated Leap Seconds=37 + { 2459231.50, 69.355766 }, //17 January 2021, UT1-UTC=-0.1717660, Accumulated Leap Seconds=37 + { 2459232.50, 69.355586 }, //18 January 2021, UT1-UTC=-0.1715857, Accumulated Leap Seconds=37 + { 2459233.50, 69.355416 }, //19 January 2021, UT1-UTC=-0.1714164, Accumulated Leap Seconds=37 + { 2459234.50, 69.355273 }, //20 January 2021, UT1-UTC=-0.1712735, Accumulated Leap Seconds=37 + { 2459235.50, 69.355090 }, //21 January 2021, UT1-UTC=-0.1710897, Accumulated Leap Seconds=37 + { 2459236.50, 69.354796 }, //22 January 2021, UT1-UTC=-0.1707958, Accumulated Leap Seconds=37 + { 2459237.50, 69.354479 }, //23 January 2021, UT1-UTC=-0.1704792, Accumulated Leap Seconds=37 + { 2459238.50, 69.354010 }, //24 January 2021, UT1-UTC=-0.1700095, Accumulated Leap Seconds=37 + { 2459239.50, 69.353415 }, //25 January 2021, UT1-UTC=-0.1694151, Accumulated Leap Seconds=37 + { 2459240.50, 69.352720 }, //26 January 2021, UT1-UTC=-0.1687202, Accumulated Leap Seconds=37 + { 2459241.50, 69.351955 }, //27 January 2021, UT1-UTC=-0.1679551, Accumulated Leap Seconds=37 + { 2459242.50, 69.351309 }, //28 January 2021, UT1-UTC=-0.1673088, Accumulated Leap Seconds=37 + { 2459243.50, 69.350911 }, //29 January 2021, UT1-UTC=-0.1669113, Accumulated Leap Seconds=37 + { 2459244.50, 69.350682 }, //30 January 2021, UT1-UTC=-0.1666818, Accumulated Leap Seconds=37 + { 2459245.50, 69.350688 }, //31 January 2021, UT1-UTC=-0.1666882, Accumulated Leap Seconds=37 + { 2459246.50, 69.351013 }, //01 February 2021, UT1-UTC=-0.1670133, Accumulated Leap Seconds=37 + { 2459247.50, 69.351560 }, //02 February 2021, UT1-UTC=-0.1675605, Accumulated Leap Seconds=37 + { 2459248.50, 69.352217 }, //03 February 2021, UT1-UTC=-0.1682174, Accumulated Leap Seconds=37 + { 2459249.50, 69.352836 }, //04 February 2021, UT1-UTC=-0.1688356, Accumulated Leap Seconds=37 + { 2459250.50, 69.353284 }, //05 February 2021, UT1-UTC=-0.1692841, Accumulated Leap Seconds=37 + { 2459251.50, 69.353532 }, //06 February 2021, UT1-UTC=-0.1695316, Accumulated Leap Seconds=37 + { 2459252.50, 69.353577 }, //07 February 2021, UT1-UTC=-0.1695770, Accumulated Leap Seconds=37 + { 2459253.50, 69.353478 }, //08 February 2021, UT1-UTC=-0.1694781, Accumulated Leap Seconds=37 + { 2459254.50, 69.353330 }, //09 February 2021, UT1-UTC=-0.1693298, Accumulated Leap Seconds=37 + { 2459255.50, 69.353252 }, //10 February 2021, UT1-UTC=-0.1692518, Accumulated Leap Seconds=37 + { 2459256.50, 69.353258 }, //11 February 2021, UT1-UTC=-0.1692585, Accumulated Leap Seconds=37 + { 2459257.50, 69.353410 }, //12 February 2021, UT1-UTC=-0.1694104, Accumulated Leap Seconds=37 + { 2459258.50, 69.353718 }, //13 February 2021, UT1-UTC=-0.1697177, Accumulated Leap Seconds=37 + { 2459259.50, 69.354183 }, //14 February 2021, UT1-UTC=-0.1701828, Accumulated Leap Seconds=37 + { 2459260.50, 69.354735 }, //15 February 2021, UT1-UTC=-0.1707346, Accumulated Leap Seconds=37 + { 2459261.50, 69.355227 }, //16 February 2021, UT1-UTC=-0.1712267, Accumulated Leap Seconds=37 + { 2459262.50, 69.355658 }, //17 February 2021, UT1-UTC=-0.1716582, Accumulated Leap Seconds=37 + { 2459263.50, 69.355934 }, //18 February 2021, UT1-UTC=-0.1719340, Accumulated Leap Seconds=37 + { 2459264.50, 69.355996 }, //19 February 2021, UT1-UTC=-0.1719960, Accumulated Leap Seconds=37 + { 2459265.50, 69.355895 }, //20 February 2021, UT1-UTC=-0.1718953, Accumulated Leap Seconds=37 + { 2459266.50, 69.355559 }, //21 February 2021, UT1-UTC=-0.1715594, Accumulated Leap Seconds=37 + { 2459267.50, 69.355042 }, //22 February 2021, UT1-UTC=-0.1710417, Accumulated Leap Seconds=37 + { 2459268.50, 69.354454 }, //23 February 2021, UT1-UTC=-0.1704541, Accumulated Leap Seconds=37 + { 2459269.50, 69.353816 }, //24 February 2021, UT1-UTC=-0.1698157, Accumulated Leap Seconds=37 + { 2459270.50, 69.353332 }, //25 February 2021, UT1-UTC=-0.1693325, Accumulated Leap Seconds=37 + { 2459271.50, 69.353052 }, //26 February 2021, UT1-UTC=-0.1690519, Accumulated Leap Seconds=37 + { 2459272.50, 69.353042 }, //27 February 2021, UT1-UTC=-0.1690420, Accumulated Leap Seconds=37 + { 2459273.50, 69.353289 }, //28 February 2021, UT1-UTC=-0.1692889, Accumulated Leap Seconds=37 + { 2459274.50, 69.353792 }, //01 March 2021, UT1-UTC=-0.1697917, Accumulated Leap Seconds=37 + { 2459275.50, 69.354408 }, //02 March 2021, UT1-UTC=-0.1704083, Accumulated Leap Seconds=37 + { 2459276.50, 69.355007 }, //03 March 2021, UT1-UTC=-0.1710068, Accumulated Leap Seconds=37 + { 2459277.50, 69.355574 }, //04 March 2021, UT1-UTC=-0.1715739, Accumulated Leap Seconds=37 + { 2459278.50, 69.355908 }, //05 March 2021, UT1-UTC=-0.1719077, Accumulated Leap Seconds=37 + { 2459279.50, 69.355959 }, //06 March 2021, UT1-UTC=-0.1719593, Accumulated Leap Seconds=37 + { 2459280.50, 69.355830 }, //07 March 2021, UT1-UTC=-0.1718305, Accumulated Leap Seconds=37 + { 2459281.50, 69.355596 }, //08 March 2021, UT1-UTC=-0.1715956, Accumulated Leap Seconds=37 + { 2459282.50, 69.355314 }, //09 March 2021, UT1-UTC=-0.1713142, Accumulated Leap Seconds=37 + { 2459283.50, 69.355105 }, //10 March 2021, UT1-UTC=-0.1711055, Accumulated Leap Seconds=37 + { 2459284.50, 69.355021 }, //11 March 2021, UT1-UTC=-0.1710208, Accumulated Leap Seconds=37 + { 2459285.50, 69.355074 }, //12 March 2021, UT1-UTC=-0.1710743, Accumulated Leap Seconds=37 + { 2459286.50, 69.355282 }, //13 March 2021, UT1-UTC=-0.1712815, Accumulated Leap Seconds=37 + { 2459287.50, 69.355605 }, //14 March 2021, UT1-UTC=-0.1716048, Accumulated Leap Seconds=37 + { 2459288.50, 69.355944 }, //15 March 2021, UT1-UTC=-0.1719443, Accumulated Leap Seconds=37 + { 2459289.50, 69.356229 }, //16 March 2021, UT1-UTC=-0.1722294, Accumulated Leap Seconds=37 + { 2459290.50, 69.356371 }, //17 March 2021, UT1-UTC=-0.1723712, Accumulated Leap Seconds=37 + { 2459291.50, 69.356377 }, //18 March 2021, UT1-UTC=-0.1723768, Accumulated Leap Seconds=37 + { 2459292.50, 69.356285 }, //19 March 2021, UT1-UTC=-0.1722852, Accumulated Leap Seconds=37 + { 2459293.50, 69.356014 }, //20 March 2021, UT1-UTC=-0.1720139, Accumulated Leap Seconds=37 + { 2459294.50, 69.355668 }, //21 March 2021, UT1-UTC=-0.1716685, Accumulated Leap Seconds=37 + { 2459295.50, 69.355311 }, //22 March 2021, UT1-UTC=-0.1713111, Accumulated Leap Seconds=37 + { 2459296.50, 69.354963 }, //23 March 2021, UT1-UTC=-0.1709631, Accumulated Leap Seconds=37 + { 2459297.50, 69.354673 }, //24 March 2021, UT1-UTC=-0.1706727, Accumulated Leap Seconds=37 + { 2459298.50, 69.354525 }, //25 March 2021, UT1-UTC=-0.1705246, Accumulated Leap Seconds=37 + { 2459299.50, 69.354584 }, //26 March 2021, UT1-UTC=-0.1705844, Accumulated Leap Seconds=37 + { 2459300.50, 69.354926 }, //27 March 2021, UT1-UTC=-0.1709260, Accumulated Leap Seconds=37 + { 2459301.50, 69.355480 }, //28 March 2021, UT1-UTC=-0.1714805, Accumulated Leap Seconds=37 + { 2459302.50, 69.356252 }, //29 March 2021, UT1-UTC=-0.1722523, Accumulated Leap Seconds=37 + { 2459303.50, 69.357046 }, //30 March 2021, UT1-UTC=-0.1730458, Accumulated Leap Seconds=37 + { 2459304.50, 69.357725 }, //31 March 2021, UT1-UTC=-0.1737247, Accumulated Leap Seconds=37 + { 2459305.50, 69.358222 }, //01 April 2021, UT1-UTC=-0.1742217, Accumulated Leap Seconds=37 + { 2459306.50, 69.358484 }, //02 April 2021, UT1-UTC=-0.1744837, Accumulated Leap Seconds=37 + { 2459307.50, 69.358553 }, //03 April 2021, UT1-UTC=-0.1745526, Accumulated Leap Seconds=37 + { 2459308.50, 69.358477 }, //04 April 2021, UT1-UTC=-0.1744768, Accumulated Leap Seconds=37 + { 2459309.50, 69.358371 }, //05 April 2021, UT1-UTC=-0.1743712, Accumulated Leap Seconds=37 + { 2459310.50, 69.358407 }, //06 April 2021, UT1-UTC=-0.1744072, Accumulated Leap Seconds=37 + { 2459311.50, 69.358601 }, //07 April 2021, UT1-UTC=-0.1746013, Accumulated Leap Seconds=37 + { 2459312.50, 69.358863 }, //08 April 2021, UT1-UTC=-0.1748625, Accumulated Leap Seconds=37 + { 2459313.50, 69.359281 }, //09 April 2021, UT1-UTC=-0.1752811, Accumulated Leap Seconds=37 + { 2459314.50, 69.359755 }, //10 April 2021, UT1-UTC=-0.1757555, Accumulated Leap Seconds=37 + { 2459315.50, 69.360284 }, //11 April 2021, UT1-UTC=-0.1762845, Accumulated Leap Seconds=37 + { 2459316.50, 69.360834 }, //12 April 2021, UT1-UTC=-0.1768340, Accumulated Leap Seconds=37 + { 2459317.50, 69.361252 }, //13 April 2021, UT1-UTC=-0.1772518, Accumulated Leap Seconds=37 + { 2459318.50, 69.361616 }, //14 April 2021, UT1-UTC=-0.1776165, Accumulated Leap Seconds=37 + { 2459319.50, 69.361857 }, //15 April 2021, UT1-UTC=-0.1778568, Accumulated Leap Seconds=37 + { 2459320.50, 69.361991 }, //16 April 2021, UT1-UTC=-0.1779906, Accumulated Leap Seconds=37 + { 2459321.50, 69.362019 }, //17 April 2021, UT1-UTC=-0.1780186, Accumulated Leap Seconds=37 + { 2459322.50, 69.361975 }, //18 April 2021, UT1-UTC=-0.1779747, Accumulated Leap Seconds=37 + { 2459323.50, 69.361868 }, //19 April 2021, UT1-UTC=-0.1778677, Accumulated Leap Seconds=37 + { 2459324.50, 69.361842 }, //20 April 2021, UT1-UTC=-0.1778425, Accumulated Leap Seconds=37 + { 2459325.50, 69.361860 }, //21 April 2021, UT1-UTC=-0.1778604, Accumulated Leap Seconds=37 + { 2459326.50, 69.362044 }, //22 April 2021, UT1-UTC=-0.1780444, Accumulated Leap Seconds=37 + { 2459327.50, 69.362525 }, //23 April 2021, UT1-UTC=-0.1785252, Accumulated Leap Seconds=37 + { 2459328.50, 69.363155 }, //24 April 2021, UT1-UTC=-0.1791550, Accumulated Leap Seconds=37 + { 2459329.50, 69.363962 }, //25 April 2021, UT1-UTC=-0.1799625, Accumulated Leap Seconds=37 + { 2459330.50, 69.364887 }, //26 April 2021, UT1-UTC=-0.1808868, Accumulated Leap Seconds=37 + { 2459331.50, 69.365898 }, //27 April 2021, UT1-UTC=-0.1818984, Accumulated Leap Seconds=37 + { 2459332.50, 69.366703 }, //28 April 2021, UT1-UTC=-0.1827029, Accumulated Leap Seconds=37 + { 2459333.50, 69.367201 }, //29 April 2021, UT1-UTC=-0.1832012, Accumulated Leap Seconds=37 + { 2459334.50, 69.367369 }, //30 April 2021, UT1-UTC=-0.1833693, Accumulated Leap Seconds=37 + { 2459335.50, 69.367300 }, //01 May 2021, UT1-UTC=-0.1833001, Accumulated Leap Seconds=37 + { 2459336.50, 69.367085 }, //02 May 2021, UT1-UTC=-0.1830846, Accumulated Leap Seconds=37 + { 2459337.50, 69.366789 }, //03 May 2021, UT1-UTC=-0.1827895, Accumulated Leap Seconds=37 + { 2459338.50, 69.366519 }, //04 May 2021, UT1-UTC=-0.1825186, Accumulated Leap Seconds=37 + { 2459339.50, 69.366387 }, //05 May 2021, UT1-UTC=-0.1823874, Accumulated Leap Seconds=37 + { 2459340.50, 69.366396 }, //06 May 2021, UT1-UTC=-0.1823958, Accumulated Leap Seconds=37 + { 2459341.50, 69.366557 }, //07 May 2021, UT1-UTC=-0.1825565, Accumulated Leap Seconds=37 + { 2459342.50, 69.366822 }, //08 May 2021, UT1-UTC=-0.1828217, Accumulated Leap Seconds=37 + { 2459343.50, 69.367047 }, //09 May 2021, UT1-UTC=-0.1830469, Accumulated Leap Seconds=37 + { 2459344.50, 69.367223 }, //10 May 2021, UT1-UTC=-0.1832233, Accumulated Leap Seconds=37 + { 2459345.50, 69.367354 }, //11 May 2021, UT1-UTC=-0.1833538, Accumulated Leap Seconds=37 + { 2459346.50, 69.367441 }, //12 May 2021, UT1-UTC=-0.1834414, Accumulated Leap Seconds=37 + { 2459347.50, 69.367301 }, //13 May 2021, UT1-UTC=-0.1833012, Accumulated Leap Seconds=37 + { 2459348.50, 69.367098 }, //14 May 2021, UT1-UTC=-0.1830977, Accumulated Leap Seconds=37 + { 2459349.50, 69.366823 }, //15 May 2021, UT1-UTC=-0.1828230, Accumulated Leap Seconds=37 + { 2459350.50, 69.366535 }, //16 May 2021, UT1-UTC=-0.1825349, Accumulated Leap Seconds=37 + { 2459351.50, 69.366260 }, //17 May 2021, UT1-UTC=-0.1822596, Accumulated Leap Seconds=37 + { 2459352.50, 69.366023 }, //18 May 2021, UT1-UTC=-0.1820229, Accumulated Leap Seconds=37 + { 2459353.50, 69.365971 }, //19 May 2021, UT1-UTC=-0.1819706, Accumulated Leap Seconds=37 + { 2459354.50, 69.366072 }, //20 May 2021, UT1-UTC=-0.1820723, Accumulated Leap Seconds=37 + { 2459355.50, 69.366507 }, //21 May 2021, UT1-UTC=-0.1825070, Accumulated Leap Seconds=37 + { 2459356.50, 69.367026 }, //22 May 2021, UT1-UTC=-0.1830263, Accumulated Leap Seconds=37 + { 2459357.50, 69.367716 }, //23 May 2021, UT1-UTC=-0.1837162, Accumulated Leap Seconds=37 + { 2459358.50, 69.368435 }, //24 May 2021, UT1-UTC=-0.1844354, Accumulated Leap Seconds=37 + { 2459359.50, 69.369041 }, //25 May 2021, UT1-UTC=-0.1850414, Accumulated Leap Seconds=37 + { 2459360.50, 69.369417 }, //26 May 2021, UT1-UTC=-0.1854166, Accumulated Leap Seconds=37 + { 2459361.50, 69.369542 }, //27 May 2021, UT1-UTC=-0.1855424, Accumulated Leap Seconds=37 + { 2459362.50, 69.369404 }, //28 May 2021, UT1-UTC=-0.1854036, Accumulated Leap Seconds=37 + { 2459363.50, 69.369050 }, //29 May 2021, UT1-UTC=-0.1850503, Accumulated Leap Seconds=37 + { 2459364.50, 69.368589 }, //30 May 2021, UT1-UTC=-0.1845894, Accumulated Leap Seconds=37 + { 2459365.50, 69.368161 }, //31 May 2021, UT1-UTC=-0.1841614, Accumulated Leap Seconds=37 + { 2459366.50, 69.367863 }, //01 June 2021, UT1-UTC=-0.1838630, Accumulated Leap Seconds=37 + { 2459367.50, 69.367703 }, //02 June 2021, UT1-UTC=-0.1837035, Accumulated Leap Seconds=37 + { 2459368.50, 69.367660 }, //03 June 2021, UT1-UTC=-0.1836597, Accumulated Leap Seconds=37 + { 2459369.50, 69.367711 }, //04 June 2021, UT1-UTC=-0.1837105, Accumulated Leap Seconds=37 + { 2459370.50, 69.367739 }, //05 June 2021, UT1-UTC=-0.1837394, Accumulated Leap Seconds=37 + { 2459371.50, 69.367666 }, //06 June 2021, UT1-UTC=-0.1836660, Accumulated Leap Seconds=37 + { 2459372.50, 69.367471 }, //07 June 2021, UT1-UTC=-0.1834706, Accumulated Leap Seconds=37 + { 2459373.50, 69.367129 }, //08 June 2021, UT1-UTC=-0.1831291, Accumulated Leap Seconds=37 + { 2459374.50, 69.366574 }, //09 June 2021, UT1-UTC=-0.1825745, Accumulated Leap Seconds=37 + { 2459375.50, 69.365901 }, //10 June 2021, UT1-UTC=-0.1819015, Accumulated Leap Seconds=37 + { 2459376.50, 69.365101 }, //11 June 2021, UT1-UTC=-0.1811011, Accumulated Leap Seconds=37 + { 2459377.50, 69.364170 }, //12 June 2021, UT1-UTC=-0.1801701, Accumulated Leap Seconds=37 + { 2459378.50, 69.363267 }, //13 June 2021, UT1-UTC=-0.1792667, Accumulated Leap Seconds=37 + { 2459379.50, 69.362346 }, //14 June 2021, UT1-UTC=-0.1783462, Accumulated Leap Seconds=37 + { 2459380.50, 69.361572 }, //15 June 2021, UT1-UTC=-0.1775716, Accumulated Leap Seconds=37 + { 2459381.50, 69.360975 }, //16 June 2021, UT1-UTC=-0.1769755, Accumulated Leap Seconds=37 + { 2459382.50, 69.360506 }, //17 June 2021, UT1-UTC=-0.1765064, Accumulated Leap Seconds=37 + { 2459383.50, 69.360282 }, //18 June 2021, UT1-UTC=-0.1762825, Accumulated Leap Seconds=37 + { 2459384.50, 69.360208 }, //19 June 2021, UT1-UTC=-0.1762075, Accumulated Leap Seconds=37 + { 2459385.50, 69.360239 }, //20 June 2021, UT1-UTC=-0.1762386, Accumulated Leap Seconds=37 + { 2459386.50, 69.360206 }, //21 June 2021, UT1-UTC=-0.1762063, Accumulated Leap Seconds=37 + { 2459387.50, 69.359952 }, //22 June 2021, UT1-UTC=-0.1759517, Accumulated Leap Seconds=37 + { 2459388.50, 69.359471 }, //23 June 2021, UT1-UTC=-0.1754708, Accumulated Leap Seconds=37 + { 2459389.50, 69.358663 }, //24 June 2021, UT1-UTC=-0.1746635, Accumulated Leap Seconds=37 + { 2459390.50, 69.357579 }, //25 June 2021, UT1-UTC=-0.1735793, Accumulated Leap Seconds=37 + { 2459391.50, 69.356387 }, //26 June 2021, UT1-UTC=-0.1723866, Accumulated Leap Seconds=37 + { 2459392.50, 69.355140 }, //27 June 2021, UT1-UTC=-0.1711397, Accumulated Leap Seconds=37 + { 2459393.50, 69.353970 }, //28 June 2021, UT1-UTC=-0.1699699, Accumulated Leap Seconds=37 + { 2459394.50, 69.352983 }, //29 June 2021, UT1-UTC=-0.1689826, Accumulated Leap Seconds=37 + { 2459395.50, 69.352193 }, //30 June 2021, UT1-UTC=-0.1681927, Accumulated Leap Seconds=37 + { 2459396.50, 69.351419 }, //01 July 2021, UT1-UTC=-0.1674190, Accumulated Leap Seconds=37 + { 2459397.50, 69.350723 }, //02 July 2021, UT1-UTC=-0.1667234, Accumulated Leap Seconds=37 + { 2459398.50, 69.349989 }, //03 July 2021, UT1-UTC=-0.1659893, Accumulated Leap Seconds=37 + { 2459399.50, 69.349172 }, //04 July 2021, UT1-UTC=-0.1651716, Accumulated Leap Seconds=37 + { 2459400.50, 69.348162 }, //05 July 2021, UT1-UTC=-0.1641619, Accumulated Leap Seconds=37 + { 2459401.50, 69.346978 }, //06 July 2021, UT1-UTC=-0.1629779, Accumulated Leap Seconds=37 + { 2459402.50, 69.345807 }, //07 July 2021, UT1-UTC=-0.1618071, Accumulated Leap Seconds=37 + { 2459403.50, 69.344451 }, //08 July 2021, UT1-UTC=-0.1604507, Accumulated Leap Seconds=37 + { 2459404.50, 69.343025 }, //09 July 2021, UT1-UTC=-0.1590251, Accumulated Leap Seconds=37 + { 2459405.50, 69.341565 }, //10 July 2021, UT1-UTC=-0.1575646, Accumulated Leap Seconds=37 + { 2459406.50, 69.340220 }, //11 July 2021, UT1-UTC=-0.1562195, Accumulated Leap Seconds=37 + { 2459407.50, 69.338968 }, //12 July 2021, UT1-UTC=-0.1549685, Accumulated Leap Seconds=37 + { 2459408.50, 69.337897 }, //13 July 2021, UT1-UTC=-0.1538971, Accumulated Leap Seconds=37 + { 2459409.50, 69.337008 }, //14 July 2021, UT1-UTC=-0.1530082, Accumulated Leap Seconds=37 + { 2459410.50, 69.336398 }, //15 July 2021, UT1-UTC=-0.1523975, Accumulated Leap Seconds=37 + { 2459411.50, 69.335991 }, //16 July 2021, UT1-UTC=-0.1519909, Accumulated Leap Seconds=37 + { 2459412.50, 69.335746 }, //17 July 2021, UT1-UTC=-0.1517456, Accumulated Leap Seconds=37 + { 2459413.50, 69.335531 }, //18 July 2021, UT1-UTC=-0.1515307, Accumulated Leap Seconds=37 + { 2459414.50, 69.335189 }, //19 July 2021, UT1-UTC=-0.1511893, Accumulated Leap Seconds=37 + { 2459415.50, 69.334703 }, //20 July 2021, UT1-UTC=-0.1507034, Accumulated Leap Seconds=37 + { 2459416.50, 69.334077 }, //21 July 2021, UT1-UTC=-0.1500774, Accumulated Leap Seconds=37 + { 2459417.50, 69.333301 }, //22 July 2021, UT1-UTC=-0.1493009, Accumulated Leap Seconds=37 + { 2459418.50, 69.332386 }, //23 July 2021, UT1-UTC=-0.1483860, Accumulated Leap Seconds=37 + { 2459419.50, 69.331474 }, //24 July 2021, UT1-UTC=-0.1474742, Accumulated Leap Seconds=37 + { 2459420.50, 69.330703 }, //25 July 2021, UT1-UTC=-0.1467032, Accumulated Leap Seconds=37 + { 2459421.50, 69.330074 }, //26 July 2021, UT1-UTC=-0.1460740, Accumulated Leap Seconds=37 + { 2459422.50, 69.329535 }, //27 July 2021, UT1-UTC=-0.1455355, Accumulated Leap Seconds=37 + { 2459423.50, 69.329122 }, //28 July 2021, UT1-UTC=-0.1451216, Accumulated Leap Seconds=37 + { 2459424.50, 69.328761 }, //29 July 2021, UT1-UTC=-0.1447606, Accumulated Leap Seconds=37 + { 2459425.50, 69.328366 }, //30 July 2021, UT1-UTC=-0.1443658, Accumulated Leap Seconds=37 + { 2459426.50, 69.327925 }, //31 July 2021, UT1-UTC=-0.1439255, Accumulated Leap Seconds=37 + { 2459427.50, 69.327343 }, //01 August 2021, UT1-UTC=-0.1433427, Accumulated Leap Seconds=37 + { 2459428.50, 69.326648 }, //02 August 2021, UT1-UTC=-0.1426479, Accumulated Leap Seconds=37 + { 2459429.50, 69.325831 }, //03 August 2021, UT1-UTC=-0.1418308, Accumulated Leap Seconds=37 + { 2459430.50, 69.324889 }, //04 August 2021, UT1-UTC=-0.1408895, Accumulated Leap Seconds=37 + { 2459431.50, 69.323859 }, //05 August 2021, UT1-UTC=-0.1398590, Accumulated Leap Seconds=37 + { 2459432.50, 69.322767 }, //06 August 2021, UT1-UTC=-0.1387675, Accumulated Leap Seconds=37 + { 2459433.50, 69.321752 }, //07 August 2021, UT1-UTC=-0.1377522, Accumulated Leap Seconds=37 + { 2459434.50, 69.320744 }, //08 August 2021, UT1-UTC=-0.1367438, Accumulated Leap Seconds=37 + { 2459435.50, 69.319826 }, //09 August 2021, UT1-UTC=-0.1358262, Accumulated Leap Seconds=37 + { 2459436.50, 69.319082 }, //10 August 2021, UT1-UTC=-0.1350824, Accumulated Leap Seconds=37 + { 2459437.50, 69.318512 }, //11 August 2021, UT1-UTC=-0.1345123, Accumulated Leap Seconds=37 + { 2459438.50, 69.318100 }, //12 August 2021, UT1-UTC=-0.1340995, Accumulated Leap Seconds=37 + { 2459439.50, 69.317837 }, //13 August 2021, UT1-UTC=-0.1338370, Accumulated Leap Seconds=37 + { 2459440.50, 69.317510 }, //14 August 2021, UT1-UTC=-0.1335096, Accumulated Leap Seconds=37 + { 2459441.50, 69.317126 }, //15 August 2021, UT1-UTC=-0.1331257, Accumulated Leap Seconds=37 + { 2459442.50, 69.316560 }, //16 August 2021, UT1-UTC=-0.1325605, Accumulated Leap Seconds=37 + { 2459443.50, 69.315756 }, //17 August 2021, UT1-UTC=-0.1317561, Accumulated Leap Seconds=37 + { 2459444.50, 69.314714 }, //18 August 2021, UT1-UTC=-0.1307144, Accumulated Leap Seconds=37 + { 2459445.50, 69.313564 }, //19 August 2021, UT1-UTC=-0.1295644, Accumulated Leap Seconds=37 + { 2459446.50, 69.312361 }, //20 August 2021, UT1-UTC=-0.1283612, Accumulated Leap Seconds=37 + { 2459447.50, 69.311232 }, //21 August 2021, UT1-UTC=-0.1272321, Accumulated Leap Seconds=37 + { 2459448.50, 69.310319 }, //22 August 2021, UT1-UTC=-0.1263191, Accumulated Leap Seconds=37 + { 2459449.50, 69.309574 }, //23 August 2021, UT1-UTC=-0.1255742, Accumulated Leap Seconds=37 + { 2459450.50, 69.308966 }, //24 August 2021, UT1-UTC=-0.1249662, Accumulated Leap Seconds=37 + { 2459451.50, 69.308453 }, //25 August 2021, UT1-UTC=-0.1244534, Accumulated Leap Seconds=37 + { 2459452.50, 69.308009 }, //26 August 2021, UT1-UTC=-0.1240093, Accumulated Leap Seconds=37 + { 2459453.50, 69.307491 }, //27 August 2021, UT1-UTC=-0.1234905, Accumulated Leap Seconds=37 + { 2459454.50, 69.306891 }, //28 August 2021, UT1-UTC=-0.1228912, Accumulated Leap Seconds=37 + { 2459455.50, 69.306107 }, //29 August 2021, UT1-UTC=-0.1221074, Accumulated Leap Seconds=37 + { 2459456.50, 69.305266 }, //30 August 2021, UT1-UTC=-0.1212655, Accumulated Leap Seconds=37 + { 2459457.50, 69.304326 }, //31 August 2021, UT1-UTC=-0.1203261, Accumulated Leap Seconds=37 + { 2459458.50, 69.303330 }, //01 September 2021, UT1-UTC=-0.1193296, Accumulated Leap Seconds=37 + { 2459459.50, 69.302274 }, //02 September 2021, UT1-UTC=-0.1182741, Accumulated Leap Seconds=37 + { 2459460.50, 69.301218 }, //03 September 2021, UT1-UTC=-0.1172182, Accumulated Leap Seconds=37 + { 2459461.50, 69.300339 }, //04 September 2021, UT1-UTC=-0.1163387, Accumulated Leap Seconds=37 + { 2459462.50, 69.299528 }, //05 September 2021, UT1-UTC=-0.1155277, Accumulated Leap Seconds=37 + { 2459463.50, 69.298925 }, //06 September 2021, UT1-UTC=-0.1149250, Accumulated Leap Seconds=37 + { 2459464.50, 69.298567 }, //07 September 2021, UT1-UTC=-0.1145666, Accumulated Leap Seconds=37 + { 2459465.50, 69.298429 }, //08 September 2021, UT1-UTC=-0.1144291, Accumulated Leap Seconds=37 + { 2459466.50, 69.298456 }, //09 September 2021, UT1-UTC=-0.1144561, Accumulated Leap Seconds=37 + { 2459467.50, 69.298497 }, //10 September 2021, UT1-UTC=-0.1144971, Accumulated Leap Seconds=37 + { 2459468.50, 69.298514 }, //11 September 2021, UT1-UTC=-0.1145144, Accumulated Leap Seconds=37 + { 2459469.50, 69.298322 }, //12 September 2021, UT1-UTC=-0.1143216, Accumulated Leap Seconds=37 + { 2459470.50, 69.297908 }, //13 September 2021, UT1-UTC=-0.1139079, Accumulated Leap Seconds=37 + { 2459471.50, 69.297240 }, //14 September 2021, UT1-UTC=-0.1132399, Accumulated Leap Seconds=37 + { 2459472.50, 69.296449 }, //15 September 2021, UT1-UTC=-0.1124489, Accumulated Leap Seconds=37 + { 2459473.50, 69.295575 }, //16 September 2021, UT1-UTC=-0.1115746, Accumulated Leap Seconds=37 + { 2459474.50, 69.294783 }, //17 September 2021, UT1-UTC=-0.1107834, Accumulated Leap Seconds=37 + { 2459475.50, 69.294152 }, //18 September 2021, UT1-UTC=-0.1101516, Accumulated Leap Seconds=37 + { 2459476.50, 69.293794 }, //19 September 2021, UT1-UTC=-0.1097937, Accumulated Leap Seconds=37 + { 2459477.50, 69.293503 }, //20 September 2021, UT1-UTC=-0.1095025, Accumulated Leap Seconds=37 + { 2459478.50, 69.293376 }, //21 September 2021, UT1-UTC=-0.1093763, Accumulated Leap Seconds=37 + { 2459479.50, 69.293244 }, //22 September 2021, UT1-UTC=-0.1092437, Accumulated Leap Seconds=37 + { 2459480.50, 69.293181 }, //23 September 2021, UT1-UTC=-0.1091810, Accumulated Leap Seconds=37 + { 2459481.50, 69.293067 }, //24 September 2021, UT1-UTC=-0.1090666, Accumulated Leap Seconds=37 + { 2459482.50, 69.292850 }, //25 September 2021, UT1-UTC=-0.1088502, Accumulated Leap Seconds=37 + { 2459483.50, 69.292505 }, //26 September 2021, UT1-UTC=-0.1085048, Accumulated Leap Seconds=37 + { 2459484.50, 69.292037 }, //27 September 2021, UT1-UTC=-0.1080366, Accumulated Leap Seconds=37 + { 2459485.50, 69.291398 }, //28 September 2021, UT1-UTC=-0.1073977, Accumulated Leap Seconds=37 + { 2459486.50, 69.290720 }, //29 September 2021, UT1-UTC=-0.1067197, Accumulated Leap Seconds=37 + { 2459487.50, 69.289991 }, //30 September 2021, UT1-UTC=-0.1059910, Accumulated Leap Seconds=37 + { 2459488.50, 69.289249 }, //01 October 2021, UT1-UTC=-0.1052493, Accumulated Leap Seconds=37 + { 2459489.50, 69.288698 }, //02 October 2021, UT1-UTC=-0.1046976, Accumulated Leap Seconds=37 + { 2459490.50, 69.288323 }, //03 October 2021, UT1-UTC=-0.1043230, Accumulated Leap Seconds=37 + { 2459491.50, 69.288115 }, //04 October 2021, UT1-UTC=-0.1041152, Accumulated Leap Seconds=37 + { 2459492.50, 69.288161 }, //05 October 2021, UT1-UTC=-0.1041610, Accumulated Leap Seconds=37 + { 2459493.50, 69.288493 }, //06 October 2021, UT1-UTC=-0.1044929, Accumulated Leap Seconds=37 + { 2459494.50, 69.289040 }, //07 October 2021, UT1-UTC=-0.1050403, Accumulated Leap Seconds=37 + { 2459495.50, 69.289552 }, //08 October 2021, UT1-UTC=-0.1055520, Accumulated Leap Seconds=37 + { 2459496.50, 69.289930 }, //09 October 2021, UT1-UTC=-0.1059297, Accumulated Leap Seconds=37 + { 2459497.50, 69.290053 }, //10 October 2021, UT1-UTC=-0.1060528, Accumulated Leap Seconds=37 + { 2459498.50, 69.289956 }, //11 October 2021, UT1-UTC=-0.1059557, Accumulated Leap Seconds=37 + { 2459499.50, 69.289707 }, //12 October 2021, UT1-UTC=-0.1057066, Accumulated Leap Seconds=37 + { 2459500.50, 69.289372 }, //13 October 2021, UT1-UTC=-0.1053721, Accumulated Leap Seconds=37 + { 2459501.50, 69.289050 }, //14 October 2021, UT1-UTC=-0.1050495, Accumulated Leap Seconds=37 + { 2459502.50, 69.288816 }, //15 October 2021, UT1-UTC=-0.1048160, Accumulated Leap Seconds=37 + { 2459503.50, 69.288714 }, //16 October 2021, UT1-UTC=-0.1047138, Accumulated Leap Seconds=37 + { 2459504.50, 69.288781 }, //17 October 2021, UT1-UTC=-0.1047807, Accumulated Leap Seconds=37 + { 2459505.50, 69.288975 }, //18 October 2021, UT1-UTC=-0.1049746, Accumulated Leap Seconds=37 + { 2459506.50, 69.289321 }, //19 October 2021, UT1-UTC=-0.1053206, Accumulated Leap Seconds=37 + { 2459507.50, 69.289645 }, //20 October 2021, UT1-UTC=-0.1056447, Accumulated Leap Seconds=37 + { 2459508.50, 69.289935 }, //21 October 2021, UT1-UTC=-0.1059345, Accumulated Leap Seconds=37 + { 2459509.50, 69.290146 }, //22 October 2021, UT1-UTC=-0.1061464, Accumulated Leap Seconds=37 + { 2459510.50, 69.290165 }, //23 October 2021, UT1-UTC=-0.1061647, Accumulated Leap Seconds=37 + { 2459511.50, 69.289934 }, //24 October 2021, UT1-UTC=-0.1059344, Accumulated Leap Seconds=37 + { 2459512.50, 69.289563 }, //25 October 2021, UT1-UTC=-0.1055632, Accumulated Leap Seconds=37 + { 2459513.50, 69.289070 }, //26 October 2021, UT1-UTC=-0.1050701, Accumulated Leap Seconds=37 + { 2459514.50, 69.288559 }, //27 October 2021, UT1-UTC=-0.1045588, Accumulated Leap Seconds=37 + { 2459515.50, 69.288128 }, //28 October 2021, UT1-UTC=-0.1041280, Accumulated Leap Seconds=37 + { 2459516.50, 69.287764 }, //29 October 2021, UT1-UTC=-0.1037640, Accumulated Leap Seconds=37 + { 2459517.50, 69.287563 }, //30 October 2021, UT1-UTC=-0.1035626, Accumulated Leap Seconds=37 + { 2459518.50, 69.287638 }, //31 October 2021, UT1-UTC=-0.1036381, Accumulated Leap Seconds=37 + { 2459519.50, 69.288039 }, //01 November 2021, UT1-UTC=-0.1040393, Accumulated Leap Seconds=37 + { 2459520.50, 69.288679 }, //02 November 2021, UT1-UTC=-0.1046788, Accumulated Leap Seconds=37 + { 2459521.50, 69.289524 }, //03 November 2021, UT1-UTC=-0.1055245, Accumulated Leap Seconds=37 + { 2459522.50, 69.290341 }, //04 November 2021, UT1-UTC=-0.1063407, Accumulated Leap Seconds=37 + { 2459523.50, 69.291034 }, //05 November 2021, UT1-UTC=-0.1070342, Accumulated Leap Seconds=37 + { 2459524.50, 69.291421 }, //06 November 2021, UT1-UTC=-0.1074206, Accumulated Leap Seconds=37 + { 2459525.50, 69.291484 }, //07 November 2021, UT1-UTC=-0.1074841, Accumulated Leap Seconds=37 + { 2459526.50, 69.291368 }, //08 November 2021, UT1-UTC=-0.1073681, Accumulated Leap Seconds=37 + { 2459527.50, 69.291173 }, //09 November 2021, UT1-UTC=-0.1071734, Accumulated Leap Seconds=37 + { 2459528.50, 69.290969 }, //10 November 2021, UT1-UTC=-0.1069690, Accumulated Leap Seconds=37 + { 2459529.50, 69.290868 }, //11 November 2021, UT1-UTC=-0.1068676, Accumulated Leap Seconds=37 + { 2459530.50, 69.290989 }, //12 November 2021, UT1-UTC=-0.1069887, Accumulated Leap Seconds=37 + { 2459531.50, 69.291249 }, //13 November 2021, UT1-UTC=-0.1072487, Accumulated Leap Seconds=37 + { 2459532.50, 69.291641 }, //14 November 2021, UT1-UTC=-0.1076407, Accumulated Leap Seconds=37 + { 2459533.50, 69.292005 }, //15 November 2021, UT1-UTC=-0.1080051, Accumulated Leap Seconds=37 + { 2459534.50, 69.292269 }, //16 November 2021, UT1-UTC=-0.1082692, Accumulated Leap Seconds=37 + { 2459535.50, 69.292462 }, //17 November 2021, UT1-UTC=-0.1084617, Accumulated Leap Seconds=37 + { 2459536.50, 69.292531 }, //18 November 2021, UT1-UTC=-0.1085313, Accumulated Leap Seconds=37 + { 2459537.50, 69.292462 }, //19 November 2021, UT1-UTC=-0.1084621, Accumulated Leap Seconds=37 + { 2459538.50, 69.292189 }, //20 November 2021, UT1-UTC=-0.1081889, Accumulated Leap Seconds=37 + { 2459539.50, 69.291770 }, //21 November 2021, UT1-UTC=-0.1077701, Accumulated Leap Seconds=37 + { 2459540.50, 69.291312 }, //22 November 2021, UT1-UTC=-0.1073123, Accumulated Leap Seconds=37 + { 2459541.50, 69.290739 }, //23 November 2021, UT1-UTC=-0.1067389, Accumulated Leap Seconds=37 + { 2459542.50, 69.290211 }, //24 November 2021, UT1-UTC=-0.1062114, Accumulated Leap Seconds=37 + { 2459543.50, 69.289727 }, //25 November 2021, UT1-UTC=-0.1057273, Accumulated Leap Seconds=37 + { 2459544.50, 69.289380 }, //26 November 2021, UT1-UTC=-0.1053797, Accumulated Leap Seconds=37 + { 2459545.50, 69.289317 }, //27 November 2021, UT1-UTC=-0.1053167, Accumulated Leap Seconds=37 + { 2459546.50, 69.289510 }, //28 November 2021, UT1-UTC=-0.1055099, Accumulated Leap Seconds=37 + { 2459547.50, 69.289846 }, //29 November 2021, UT1-UTC=-0.1058461, Accumulated Leap Seconds=37 + { 2459548.50, 69.290250 }, //30 November 2021, UT1-UTC=-0.1062501, Accumulated Leap Seconds=37 + { 2459549.50, 69.290807 }, //01 December 2021, UT1-UTC=-0.1068071, Accumulated Leap Seconds=37 + { 2459550.50, 69.291335 }, //02 December 2021, UT1-UTC=-0.1073353, Accumulated Leap Seconds=37 + { 2459551.50, 69.291760 }, //03 December 2021, UT1-UTC=-0.1077601, Accumulated Leap Seconds=37 + { 2459552.50, 69.291887 }, //04 December 2021, UT1-UTC=-0.1078865, Accumulated Leap Seconds=37 + { 2459553.50, 69.291759 }, //05 December 2021, UT1-UTC=-0.1077593, Accumulated Leap Seconds=37 + { 2459554.50, 69.291523 }, //06 December 2021, UT1-UTC=-0.1075229, Accumulated Leap Seconds=37 + { 2459555.50, 69.291278 }, //07 December 2021, UT1-UTC=-0.1072783, Accumulated Leap Seconds=37 + { 2459556.50, 69.291059 }, //08 December 2021, UT1-UTC=-0.1070588, Accumulated Leap Seconds=37 + { 2459557.50, 69.291089 }, //09 December 2021, UT1-UTC=-0.1070888, Accumulated Leap Seconds=37 + { 2459558.50, 69.291391 }, //10 December 2021, UT1-UTC=-0.1073913, Accumulated Leap Seconds=37 + { 2459559.50, 69.291747 }, //11 December 2021, UT1-UTC=-0.1077469, Accumulated Leap Seconds=37 + { 2459560.50, 69.292188 }, //12 December 2021, UT1-UTC=-0.1081884, Accumulated Leap Seconds=37 + { 2459561.50, 69.292639 }, //13 December 2021, UT1-UTC=-0.1086393, Accumulated Leap Seconds=37 + { 2459562.50, 69.292959 }, //14 December 2021, UT1-UTC=-0.1089589, Accumulated Leap Seconds=37 + { 2459563.50, 69.293194 }, //15 December 2021, UT1-UTC=-0.1091938, Accumulated Leap Seconds=37 + { 2459564.50, 69.293294 }, //16 December 2021, UT1-UTC=-0.1092942, Accumulated Leap Seconds=37 + { 2459565.50, 69.293265 }, //17 December 2021, UT1-UTC=-0.1092654, Accumulated Leap Seconds=37 + { 2459566.50, 69.293035 }, //18 December 2021, UT1-UTC=-0.1090351, Accumulated Leap Seconds=37 + { 2459567.50, 69.292734 }, //19 December 2021, UT1-UTC=-0.1087342, Accumulated Leap Seconds=37 + { 2459568.50, 69.292393 }, //20 December 2021, UT1-UTC=-0.1083927, Accumulated Leap Seconds=37 + { 2459569.50, 69.291998 }, //21 December 2021, UT1-UTC=-0.1079976, Accumulated Leap Seconds=37 + { 2459570.50, 69.291592 }, //22 December 2021, UT1-UTC=-0.1075920, Accumulated Leap Seconds=37 + { 2459571.50, 69.291320 }, //23 December 2021, UT1-UTC=-0.1073200, Accumulated Leap Seconds=37 + { 2459572.50, 69.291254 }, //24 December 2021, UT1-UTC=-0.1072545, Accumulated Leap Seconds=37 + { 2459573.50, 69.291358 }, //25 December 2021, UT1-UTC=-0.1073582, Accumulated Leap Seconds=37 + { 2459574.50, 69.291713 }, //26 December 2021, UT1-UTC=-0.1077127, Accumulated Leap Seconds=37 + { 2459575.50, 69.292291 }, //27 December 2021, UT1-UTC=-0.1082908, Accumulated Leap Seconds=37 + { 2459576.50, 69.292922 }, //28 December 2021, UT1-UTC=-0.1089216, Accumulated Leap Seconds=37 + { 2459577.50, 69.293553 }, //29 December 2021, UT1-UTC=-0.1095526, Accumulated Leap Seconds=37 + { 2459578.50, 69.294094 }, //30 December 2021, UT1-UTC=-0.1100945, Accumulated Leap Seconds=37 + { 2459579.50, 69.294420 }, //31 December 2021, UT1-UTC=-0.1104201, Accumulated Leap Seconds=37 + { 2459580.50, 69.294493 }, //01 January 2022, UT1-UTC=-0.1104932, Accumulated Leap Seconds=37 + { 2459581.50, 69.294361 }, //02 January 2022, UT1-UTC=-0.1103609, Accumulated Leap Seconds=37 + { 2459582.50, 69.294124 }, //03 January 2022, UT1-UTC=-0.1101236, Accumulated Leap Seconds=37 + { 2459583.50, 69.293936 }, //04 January 2022, UT1-UTC=-0.1099363, Accumulated Leap Seconds=37 + { 2459584.50, 69.293852 }, //05 January 2022, UT1-UTC=-0.1098521, Accumulated Leap Seconds=37 + { 2459585.50, 69.294065 }, //06 January 2022, UT1-UTC=-0.1100652, Accumulated Leap Seconds=37 + { 2459586.50, 69.294374 }, //07 January 2022, UT1-UTC=-0.1103744, Accumulated Leap Seconds=37 + { 2459587.50, 69.294775 }, //08 January 2022, UT1-UTC=-0.1107748, Accumulated Leap Seconds=37 + { 2459588.50, 69.295220 }, //09 January 2022, UT1-UTC=-0.1112201, Accumulated Leap Seconds=37 + { 2459589.50, 69.295607 }, //10 January 2022, UT1-UTC=-0.1116067, Accumulated Leap Seconds=37 + { 2459590.50, 69.295865 }, //11 January 2022, UT1-UTC=-0.1118654, Accumulated Leap Seconds=37 + { 2459591.50, 69.295924 }, //12 January 2022, UT1-UTC=-0.1119236, Accumulated Leap Seconds=37 + { 2459592.50, 69.295867 }, //13 January 2022, UT1-UTC=-0.1118666, Accumulated Leap Seconds=37 + { 2459593.50, 69.295607 }, //14 January 2022, UT1-UTC=-0.1116067, Accumulated Leap Seconds=37 + { 2459594.50, 69.295118 }, //15 January 2022, UT1-UTC=-0.1111180, Accumulated Leap Seconds=37 + { 2459595.50, 69.294575 }, //16 January 2022, UT1-UTC=-0.1105751, Accumulated Leap Seconds=37 + { 2459596.50, 69.294000 }, //17 January 2022, UT1-UTC=-0.1099998, Accumulated Leap Seconds=37 + { 2459597.50, 69.293336 }, //18 January 2022, UT1-UTC=-0.1093362, Accumulated Leap Seconds=37 + { 2459598.50, 69.292814 }, //19 January 2022, UT1-UTC=-0.1088136, Accumulated Leap Seconds=37 + { 2459599.50, 69.292420 }, //20 January 2022, UT1-UTC=-0.1084203, Accumulated Leap Seconds=37 + { 2459600.50, 69.292278 }, //21 January 2022, UT1-UTC=-0.1082777, Accumulated Leap Seconds=37 + { 2459601.50, 69.292305 }, //22 January 2022, UT1-UTC=-0.1083049, Accumulated Leap Seconds=37 + { 2459602.50, 69.292483 }, //23 January 2022, UT1-UTC=-0.1084829, Accumulated Leap Seconds=37 + { 2459603.50, 69.292744 }, //24 January 2022, UT1-UTC=-0.1087438, Accumulated Leap Seconds=37 + { 2459604.50, 69.293015 }, //25 January 2022, UT1-UTC=-0.1090147, Accumulated Leap Seconds=37 + { 2459605.50, 69.293203 }, //26 January 2022, UT1-UTC=-0.1092026, Accumulated Leap Seconds=37 + { 2459606.50, 69.293265 }, //27 January 2022, UT1-UTC=-0.1092650, Accumulated Leap Seconds=37 + { 2459607.50, 69.293123 }, //28 January 2022, UT1-UTC=-0.1091235, Accumulated Leap Seconds=37 + { 2459608.50, 69.292804 }, //29 January 2022, UT1-UTC=-0.1088039, Accumulated Leap Seconds=37 + { 2459609.50, 69.292341 }, //30 January 2022, UT1-UTC=-0.1083414, Accumulated Leap Seconds=37 + { 2459610.50, 69.291834 }, //31 January 2022, UT1-UTC=-0.1078345, Accumulated Leap Seconds=37 + { 2459611.50, 69.291395 }, //01 February 2022, UT1-UTC=-0.1073947, Accumulated Leap Seconds=37 + { 2459612.50, 69.291123 }, //02 February 2022, UT1-UTC=-0.1071232, Accumulated Leap Seconds=37 + { 2459613.50, 69.291075 }, //03 February 2022, UT1-UTC=-0.1070753, Accumulated Leap Seconds=37 + { 2459614.50, 69.291219 }, //04 February 2022, UT1-UTC=-0.1072188, Accumulated Leap Seconds=37 + { 2459615.50, 69.291423 }, //05 February 2022, UT1-UTC=-0.1074227, Accumulated Leap Seconds=37 + { 2459616.50, 69.291576 }, //06 February 2022, UT1-UTC=-0.1075762, Accumulated Leap Seconds=37 + { 2459617.50, 69.291661 }, //07 February 2022, UT1-UTC=-0.1076608, Accumulated Leap Seconds=37 + { 2459618.50, 69.291588 }, //08 February 2022, UT1-UTC=-0.1075883, Accumulated Leap Seconds=37 + { 2459619.50, 69.291294 }, //09 February 2022, UT1-UTC=-0.1072943, Accumulated Leap Seconds=37 + { 2459620.50, 69.290813 }, //10 February 2022, UT1-UTC=-0.1068134, Accumulated Leap Seconds=37 + { 2459621.50, 69.290122 }, //11 February 2022, UT1-UTC=-0.1061222, Accumulated Leap Seconds=37 + { 2459622.50, 69.289248 }, //12 February 2022, UT1-UTC=-0.1052485, Accumulated Leap Seconds=37 + { 2459623.50, 69.288413 }, //13 February 2022, UT1-UTC=-0.1044127, Accumulated Leap Seconds=37 + { 2459624.50, 69.287644 }, //14 February 2022, UT1-UTC=-0.1036440, Accumulated Leap Seconds=37 + { 2459625.50, 69.286993 }, //15 February 2022, UT1-UTC=-0.1029930, Accumulated Leap Seconds=37 + { 2459626.50, 69.286541 }, //16 February 2022, UT1-UTC=-0.1025410, Accumulated Leap Seconds=37 + { 2459627.50, 69.286276 }, //17 February 2022, UT1-UTC=-0.1022764, Accumulated Leap Seconds=37 + { 2459628.50, 69.286271 }, //18 February 2022, UT1-UTC=-0.1022710, Accumulated Leap Seconds=37 + { 2459629.50, 69.286465 }, //19 February 2022, UT1-UTC=-0.1024648, Accumulated Leap Seconds=37 + { 2459630.50, 69.286814 }, //20 February 2022, UT1-UTC=-0.1028139, Accumulated Leap Seconds=37 + { 2459631.50, 69.287212 }, //21 February 2022, UT1-UTC=-0.1032117, Accumulated Leap Seconds=37 + { 2459632.50, 69.287512 }, //22 February 2022, UT1-UTC=-0.1035125, Accumulated Leap Seconds=37 + { 2459633.50, 69.287723 }, //23 February 2022, UT1-UTC=-0.1037225, Accumulated Leap Seconds=37 + { 2459634.50, 69.287697 }, //24 February 2022, UT1-UTC=-0.1036969, Accumulated Leap Seconds=37 + { 2459635.50, 69.287470 }, //25 February 2022, UT1-UTC=-0.1034700, Accumulated Leap Seconds=37 + { 2459636.50, 69.287080 }, //26 February 2022, UT1-UTC=-0.1030795, Accumulated Leap Seconds=37 + { 2459637.50, 69.286644 }, //27 February 2022, UT1-UTC=-0.1026443, Accumulated Leap Seconds=37 + { 2459638.50, 69.286326 }, //28 February 2022, UT1-UTC=-0.1023258, Accumulated Leap Seconds=37 + { 2459639.50, 69.286147 }, //01 March 2022, UT1-UTC=-0.1021471, Accumulated Leap Seconds=37 + { 2459640.50, 69.286156 }, //02 March 2022, UT1-UTC=-0.1021557, Accumulated Leap Seconds=37 + { 2459641.50, 69.286457 }, //03 March 2022, UT1-UTC=-0.1024571, Accumulated Leap Seconds=37 + { 2459642.50, 69.286866 }, //04 March 2022, UT1-UTC=-0.1028658, Accumulated Leap Seconds=37 + { 2459643.50, 69.287245 }, //05 March 2022, UT1-UTC=-0.1032450, Accumulated Leap Seconds=37 + { 2459644.50, 69.287543 }, //06 March 2022, UT1-UTC=-0.1035430, Accumulated Leap Seconds=37 + { 2459645.50, 69.287798 }, //07 March 2022, UT1-UTC=-0.1037985, Accumulated Leap Seconds=37 + { 2459646.50, 69.287656 }, //08 March 2022, UT1-UTC=-0.1036561, Accumulated Leap Seconds=37 + { 2459647.50, 69.287367 }, //09 March 2022, UT1-UTC=-0.1033665, Accumulated Leap Seconds=37 + { 2459648.50, 69.286917 }, //10 March 2022, UT1-UTC=-0.1029165, Accumulated Leap Seconds=37 + { 2459649.50, 69.286304 }, //11 March 2022, UT1-UTC=-0.1023040, Accumulated Leap Seconds=37 + { 2459650.50, 69.285652 }, //12 March 2022, UT1-UTC=-0.1016515, Accumulated Leap Seconds=37 + { 2459651.50, 69.285009 }, //13 March 2022, UT1-UTC=-0.1010085, Accumulated Leap Seconds=37 + { 2459652.50, 69.284351 }, //14 March 2022, UT1-UTC=-0.1003511, Accumulated Leap Seconds=37 + { 2459653.50, 69.283798 }, //15 March 2022, UT1-UTC=-0.0997979, Accumulated Leap Seconds=37 + { 2459654.50, 69.283473 }, //16 March 2022, UT1-UTC=-0.0994728, Accumulated Leap Seconds=37 + { 2459655.50, 69.283393 }, //17 March 2022, UT1-UTC=-0.0993932, Accumulated Leap Seconds=37 + { 2459656.50, 69.283522 }, //18 March 2022, UT1-UTC=-0.0995224, Accumulated Leap Seconds=37, Predicted value + { 2459657.50, 69.283819 }, //19 March 2022, UT1-UTC=-0.0998189, Accumulated Leap Seconds=37, Predicted value + { 2459658.50, 69.284203 }, //20 March 2022, UT1-UTC=-0.1002028, Accumulated Leap Seconds=37, Predicted value + { 2459659.50, 69.284543 }, //21 March 2022, UT1-UTC=-0.1005434, Accumulated Leap Seconds=37, Predicted value + { 2459660.50, 69.284715 }, //22 March 2022, UT1-UTC=-0.1007148, Accumulated Leap Seconds=37, Predicted value + { 2459661.50, 69.284663 }, //23 March 2022, UT1-UTC=-0.1006626, Accumulated Leap Seconds=37, Predicted value + { 2459662.50, 69.284398 }, //24 March 2022, UT1-UTC=-0.1003985, Accumulated Leap Seconds=37, Predicted value + { 2459663.50, 69.283971 }, //25 March 2022, UT1-UTC=-0.0999709, Accumulated Leap Seconds=37, Predicted value + { 2459664.50, 69.283464 }, //26 March 2022, UT1-UTC=-0.0994642, Accumulated Leap Seconds=37, Predicted value + { 2459665.50, 69.282981 }, //27 March 2022, UT1-UTC=-0.0989814, Accumulated Leap Seconds=37, Predicted value + { 2459666.50, 69.282642 }, //28 March 2022, UT1-UTC=-0.0986416, Accumulated Leap Seconds=37, Predicted value + { 2459667.50, 69.282504 }, //29 March 2022, UT1-UTC=-0.0985039, Accumulated Leap Seconds=37, Predicted value + { 2459668.50, 69.282582 }, //30 March 2022, UT1-UTC=-0.0985816, Accumulated Leap Seconds=37, Predicted value + { 2459669.50, 69.282820 }, //31 March 2022, UT1-UTC=-0.0988201, Accumulated Leap Seconds=37, Predicted value + { 2459670.50, 69.283153 }, //01 April 2022, UT1-UTC=-0.0991533, Accumulated Leap Seconds=37, Predicted value + { 2459671.50, 69.283471 }, //02 April 2022, UT1-UTC=-0.0994713, Accumulated Leap Seconds=37, Predicted value + { 2459672.50, 69.283681 }, //03 April 2022, UT1-UTC=-0.0996807, Accumulated Leap Seconds=37, Predicted value + { 2459673.50, 69.283739 }, //04 April 2022, UT1-UTC=-0.0997387, Accumulated Leap Seconds=37, Predicted value + { 2459674.50, 69.283614 }, //05 April 2022, UT1-UTC=-0.0996141, Accumulated Leap Seconds=37, Predicted value + { 2459675.50, 69.283316 }, //06 April 2022, UT1-UTC=-0.0993159, Accumulated Leap Seconds=37, Predicted value + { 2459676.50, 69.282872 }, //07 April 2022, UT1-UTC=-0.0988719, Accumulated Leap Seconds=37, Predicted value + { 2459677.50, 69.282338 }, //08 April 2022, UT1-UTC=-0.0983381, Accumulated Leap Seconds=37, Predicted value + { 2459678.50, 69.281782 }, //09 April 2022, UT1-UTC=-0.0977824, Accumulated Leap Seconds=37, Predicted value + { 2459679.50, 69.281277 }, //10 April 2022, UT1-UTC=-0.0972773, Accumulated Leap Seconds=37, Predicted value + { 2459680.50, 69.280890 }, //11 April 2022, UT1-UTC=-0.0968905, Accumulated Leap Seconds=37, Predicted value + { 2459681.50, 69.280683 }, //12 April 2022, UT1-UTC=-0.0966835, Accumulated Leap Seconds=37, Predicted value + { 2459682.50, 69.280700 }, //13 April 2022, UT1-UTC=-0.0967000, Accumulated Leap Seconds=37, Predicted value + { 2459683.50, 69.280953 }, //14 April 2022, UT1-UTC=-0.0969533, Accumulated Leap Seconds=37, Predicted value + { 2459684.50, 69.281406 }, //15 April 2022, UT1-UTC=-0.0974057, Accumulated Leap Seconds=37, Predicted value + { 2459685.50, 69.281974 }, //16 April 2022, UT1-UTC=-0.0979742, Accumulated Leap Seconds=37, Predicted value + { 2459686.50, 69.282543 }, //17 April 2022, UT1-UTC=-0.0985428, Accumulated Leap Seconds=37, Predicted value + { 2459687.50, 69.282982 }, //18 April 2022, UT1-UTC=-0.0989817, Accumulated Leap Seconds=37, Predicted value + { 2459688.50, 69.283191 }, //19 April 2022, UT1-UTC=-0.0991912, Accumulated Leap Seconds=37, Predicted value + { 2459689.50, 69.283138 }, //20 April 2022, UT1-UTC=-0.0991376, Accumulated Leap Seconds=37, Predicted value + { 2459690.50, 69.282865 }, //21 April 2022, UT1-UTC=-0.0988649, Accumulated Leap Seconds=37, Predicted value + { 2459691.50, 69.282479 }, //22 April 2022, UT1-UTC=-0.0984791, Accumulated Leap Seconds=37, Predicted value + { 2459692.50, 69.282103 }, //23 April 2022, UT1-UTC=-0.0981028, Accumulated Leap Seconds=37, Predicted value + { 2459693.50, 69.281842 }, //24 April 2022, UT1-UTC=-0.0978417, Accumulated Leap Seconds=37, Predicted value + { 2459694.50, 69.281766 }, //25 April 2022, UT1-UTC=-0.0977656, Accumulated Leap Seconds=37, Predicted value + { 2459695.50, 69.281894 }, //26 April 2022, UT1-UTC=-0.0978936, Accumulated Leap Seconds=37, Predicted value + { 2459696.50, 69.282190 }, //27 April 2022, UT1-UTC=-0.0981905, Accumulated Leap Seconds=37, Predicted value + { 2459697.50, 69.282584 }, //28 April 2022, UT1-UTC=-0.0985836, Accumulated Leap Seconds=37, Predicted value + { 2459698.50, 69.282985 }, //29 April 2022, UT1-UTC=-0.0989854, Accumulated Leap Seconds=37, Predicted value + { 2459699.50, 69.283308 }, //30 April 2022, UT1-UTC=-0.0993083, Accumulated Leap Seconds=37, Predicted value + { 2459700.50, 69.283483 }, //01 May 2022, UT1-UTC=-0.0994834, Accumulated Leap Seconds=37, Predicted value + { 2459701.50, 69.283471 }, //02 May 2022, UT1-UTC=-0.0994712, Accumulated Leap Seconds=37, Predicted value + { 2459702.50, 69.283262 }, //03 May 2022, UT1-UTC=-0.0992625, Accumulated Leap Seconds=37, Predicted value + { 2459703.50, 69.282881 }, //04 May 2022, UT1-UTC=-0.0988806, Accumulated Leap Seconds=37, Predicted value + { 2459704.50, 69.282371 }, //05 May 2022, UT1-UTC=-0.0983707, Accumulated Leap Seconds=37, Predicted value + { 2459705.50, 69.281797 }, //06 May 2022, UT1-UTC=-0.0977974, Accumulated Leap Seconds=37, Predicted value + { 2459706.50, 69.281234 }, //07 May 2022, UT1-UTC=-0.0972340, Accumulated Leap Seconds=37, Predicted value + { 2459707.50, 69.280752 }, //08 May 2022, UT1-UTC=-0.0967521, Accumulated Leap Seconds=37, Predicted value + { 2459708.50, 69.280417 }, //09 May 2022, UT1-UTC=-0.0964172, Accumulated Leap Seconds=37, Predicted value + { 2459709.50, 69.280277 }, //10 May 2022, UT1-UTC=-0.0962773, Accumulated Leap Seconds=37, Predicted value + { 2459710.50, 69.280360 }, //11 May 2022, UT1-UTC=-0.0963598, Accumulated Leap Seconds=37, Predicted value + { 2459711.50, 69.280660 }, //12 May 2022, UT1-UTC=-0.0966601, Accumulated Leap Seconds=37, Predicted value + { 2459712.50, 69.281125 }, //13 May 2022, UT1-UTC=-0.0971254, Accumulated Leap Seconds=37, Predicted value + { 2459713.50, 69.281653 }, //14 May 2022, UT1-UTC=-0.0976528, Accumulated Leap Seconds=37, Predicted value + { 2459714.50, 69.282108 }, //15 May 2022, UT1-UTC=-0.0981084, Accumulated Leap Seconds=37, Predicted value + { 2459715.50, 69.282368 }, //16 May 2022, UT1-UTC=-0.0983679, Accumulated Leap Seconds=37, Predicted value + { 2459716.50, 69.282359 }, //17 May 2022, UT1-UTC=-0.0983588, Accumulated Leap Seconds=37, Predicted value + { 2459717.50, 69.282086 }, //18 May 2022, UT1-UTC=-0.0980863, Accumulated Leap Seconds=37, Predicted value + { 2459718.50, 69.281632 }, //19 May 2022, UT1-UTC=-0.0976323, Accumulated Leap Seconds=37, Predicted value + { 2459719.50, 69.281123 }, //20 May 2022, UT1-UTC=-0.0971229, Accumulated Leap Seconds=37, Predicted value + { 2459720.50, 69.280684 }, //21 May 2022, UT1-UTC=-0.0966838, Accumulated Leap Seconds=37, Predicted value + { 2459721.50, 69.280396 }, //22 May 2022, UT1-UTC=-0.0963959, Accumulated Leap Seconds=37, Predicted value + { 2459722.50, 69.280285 }, //23 May 2022, UT1-UTC=-0.0962851, Accumulated Leap Seconds=37, Predicted value + { 2459723.50, 69.280321 }, //24 May 2022, UT1-UTC=-0.0963210, Accumulated Leap Seconds=37, Predicted value + { 2459724.50, 69.280432 }, //25 May 2022, UT1-UTC=-0.0964322, Accumulated Leap Seconds=37, Predicted value + { 2459725.50, 69.280534 }, //26 May 2022, UT1-UTC=-0.0965340, Accumulated Leap Seconds=37, Predicted value + { 2459726.50, 69.280543 }, //27 May 2022, UT1-UTC=-0.0965429, Accumulated Leap Seconds=37, Predicted value + { 2459727.50, 69.280392 }, //28 May 2022, UT1-UTC=-0.0963919, Accumulated Leap Seconds=37, Predicted value + { 2459728.50, 69.280038 }, //29 May 2022, UT1-UTC=-0.0960380, Accumulated Leap Seconds=37, Predicted value + { 2459729.50, 69.279469 }, //30 May 2022, UT1-UTC=-0.0954688, Accumulated Leap Seconds=37, Predicted value + { 2459730.50, 69.278700 }, //31 May 2022, UT1-UTC=-0.0947000, Accumulated Leap Seconds=37, Predicted value + { 2459731.50, 69.277769 }, //01 June 2022, UT1-UTC=-0.0937693, Accumulated Leap Seconds=37, Predicted value + { 2459732.50, 69.276735 }, //02 June 2022, UT1-UTC=-0.0927354, Accumulated Leap Seconds=37, Predicted value + { 2459733.50, 69.275668 }, //03 June 2022, UT1-UTC=-0.0916680, Accumulated Leap Seconds=37, Predicted value + { 2459734.50, 69.274642 }, //04 June 2022, UT1-UTC=-0.0906421, Accumulated Leap Seconds=37, Predicted value + { 2459735.50, 69.273724 }, //05 June 2022, UT1-UTC=-0.0897244, Accumulated Leap Seconds=37, Predicted value + { 2459736.50, 69.272964 }, //06 June 2022, UT1-UTC=-0.0889638, Accumulated Leap Seconds=37, Predicted value + { 2459737.50, 69.272389 }, //07 June 2022, UT1-UTC=-0.0883887, Accumulated Leap Seconds=37, Predicted value + { 2459738.50, 69.272005 }, //08 June 2022, UT1-UTC=-0.0880048, Accumulated Leap Seconds=37, Predicted value + { 2459739.50, 69.271783 }, //09 June 2022, UT1-UTC=-0.0877833, Accumulated Leap Seconds=37, Predicted value + { 2459740.50, 69.271656 }, //10 June 2022, UT1-UTC=-0.0876558, Accumulated Leap Seconds=37, Predicted value + { 2459741.50, 69.271517 }, //11 June 2022, UT1-UTC=-0.0875169, Accumulated Leap Seconds=37, Predicted value + { 2459742.50, 69.271242 }, //12 June 2022, UT1-UTC=-0.0872421, Accumulated Leap Seconds=37, Predicted value + { 2459743.50, 69.270731 }, //13 June 2022, UT1-UTC=-0.0867309, Accumulated Leap Seconds=37, Predicted value + { 2459744.50, 69.269949 }, //14 June 2022, UT1-UTC=-0.0859489, Accumulated Leap Seconds=37, Predicted value + { 2459745.50, 69.268948 }, //15 June 2022, UT1-UTC=-0.0849481, Accumulated Leap Seconds=37, Predicted value + { 2459746.50, 69.267848 }, //16 June 2022, UT1-UTC=-0.0838482, Accumulated Leap Seconds=37, Predicted value + { 2459747.50, 69.266790 }, //17 June 2022, UT1-UTC=-0.0827900, Accumulated Leap Seconds=37, Predicted value + { 2459748.50, 69.265884 }, //18 June 2022, UT1-UTC=-0.0818840, Accumulated Leap Seconds=37, Predicted value + { 2459749.50, 69.265173 }, //19 June 2022, UT1-UTC=-0.0811726, Accumulated Leap Seconds=37, Predicted value + { 2459750.50, 69.264630 }, //20 June 2022, UT1-UTC=-0.0806296, Accumulated Leap Seconds=37, Predicted value + { 2459751.50, 69.264182 }, //21 June 2022, UT1-UTC=-0.0801821, Accumulated Leap Seconds=37, Predicted value + { 2459752.50, 69.263737 }, //22 June 2022, UT1-UTC=-0.0797371, Accumulated Leap Seconds=37, Predicted value + { 2459753.50, 69.263209 }, //23 June 2022, UT1-UTC=-0.0792087, Accumulated Leap Seconds=37, Predicted value + { 2459754.50, 69.262531 }, //24 June 2022, UT1-UTC=-0.0785309, Accumulated Leap Seconds=37, Predicted value + { 2459755.50, 69.261662 }, //25 June 2022, UT1-UTC=-0.0776617, Accumulated Leap Seconds=37, Predicted value + { 2459756.50, 69.260584 }, //26 June 2022, UT1-UTC=-0.0765840, Accumulated Leap Seconds=37, Predicted value + { 2459757.50, 69.259308 }, //27 June 2022, UT1-UTC=-0.0753078, Accumulated Leap Seconds=37, Predicted value + { 2459758.50, 69.257867 }, //28 June 2022, UT1-UTC=-0.0738669, Accumulated Leap Seconds=37, Predicted value + { 2459759.50, 69.256315 }, //29 June 2022, UT1-UTC=-0.0723149, Accumulated Leap Seconds=37, Predicted value + { 2459760.50, 69.254721 }, //30 June 2022, UT1-UTC=-0.0707212, Accumulated Leap Seconds=37, Predicted value + { 2459761.50, 69.253160 }, //01 July 2022, UT1-UTC=-0.0691601, Accumulated Leap Seconds=37, Predicted value + { 2459762.50, 69.251699 }, //02 July 2022, UT1-UTC=-0.0676987, Accumulated Leap Seconds=37, Predicted value + { 2459763.50, 69.250389 }, //03 July 2022, UT1-UTC=-0.0663894, Accumulated Leap Seconds=37, Predicted value + { 2459764.50, 69.249236 }, //04 July 2022, UT1-UTC=-0.0652363, Accumulated Leap Seconds=37, Predicted value + { 2459765.50, 69.248274 }, //05 July 2022, UT1-UTC=-0.0642740, Accumulated Leap Seconds=37, Predicted value + { 2459766.50, 69.247481 }, //06 July 2022, UT1-UTC=-0.0634809, Accumulated Leap Seconds=37, Predicted value + { 2459767.50, 69.246804 }, //07 July 2022, UT1-UTC=-0.0628045, Accumulated Leap Seconds=37, Predicted value + { 2459768.50, 69.246162 }, //08 July 2022, UT1-UTC=-0.0621623, Accumulated Leap Seconds=37, Predicted value + { 2459769.50, 69.245451 }, //09 July 2022, UT1-UTC=-0.0614513, Accumulated Leap Seconds=37, Predicted value + { 2459770.50, 69.244572 }, //10 July 2022, UT1-UTC=-0.0605723, Accumulated Leap Seconds=37, Predicted value + { 2459771.50, 69.243466 }, //11 July 2022, UT1-UTC=-0.0594660, Accumulated Leap Seconds=37, Predicted value + { 2459772.50, 69.242143 }, //12 July 2022, UT1-UTC=-0.0581433, Accumulated Leap Seconds=37, Predicted value + { 2459773.50, 69.240693 }, //13 July 2022, UT1-UTC=-0.0566931, Accumulated Leap Seconds=37, Predicted value + { 2459774.50, 69.239254 }, //14 July 2022, UT1-UTC=-0.0552539, Accumulated Leap Seconds=37, Predicted value + { 2459775.50, 69.237962 }, //15 July 2022, UT1-UTC=-0.0539620, Accumulated Leap Seconds=37, Predicted value + { 2459776.50, 69.236899 }, //16 July 2022, UT1-UTC=-0.0528995, Accumulated Leap Seconds=37, Predicted value + { 2459777.50, 69.236068 }, //17 July 2022, UT1-UTC=-0.0520677, Accumulated Leap Seconds=37, Predicted value + { 2459778.50, 69.235397 }, //18 July 2022, UT1-UTC=-0.0513970, Accumulated Leap Seconds=37, Predicted value + { 2459779.50, 69.234779 }, //19 July 2022, UT1-UTC=-0.0507793, Accumulated Leap Seconds=37, Predicted value + { 2459780.50, 69.234106 }, //20 July 2022, UT1-UTC=-0.0501061, Accumulated Leap Seconds=37, Predicted value + { 2459781.50, 69.233295 }, //21 July 2022, UT1-UTC=-0.0492955, Accumulated Leap Seconds=37, Predicted value + { 2459782.50, 69.232301 }, //22 July 2022, UT1-UTC=-0.0483010, Accumulated Leap Seconds=37, Predicted value + { 2459783.50, 69.231107 }, //23 July 2022, UT1-UTC=-0.0471067, Accumulated Leap Seconds=37, Predicted value + { 2459784.50, 69.229725 }, //24 July 2022, UT1-UTC=-0.0457246, Accumulated Leap Seconds=37, Predicted value + { 2459785.50, 69.228188 }, //25 July 2022, UT1-UTC=-0.0441875, Accumulated Leap Seconds=37, Predicted value + { 2459786.50, 69.226546 }, //26 July 2022, UT1-UTC=-0.0425464, Accumulated Leap Seconds=37, Predicted value + { 2459787.50, 69.224866 }, //27 July 2022, UT1-UTC=-0.0408662, Accumulated Leap Seconds=37, Predicted value + { 2459788.50, 69.223220 }, //28 July 2022, UT1-UTC=-0.0392204, Accumulated Leap Seconds=37, Predicted value + { 2459789.50, 69.221679 }, //29 July 2022, UT1-UTC=-0.0376789, Accumulated Leap Seconds=37, Predicted value + { 2459790.50, 69.220299 }, //30 July 2022, UT1-UTC=-0.0362992, Accumulated Leap Seconds=37, Predicted value + { 2459791.50, 69.219117 }, //31 July 2022, UT1-UTC=-0.0351169, Accumulated Leap Seconds=37, Predicted value + { 2459792.50, 69.218139 }, //01 August 2022, UT1-UTC=-0.0341391, Accumulated Leap Seconds=37, Predicted value + { 2459793.50, 69.217342 }, //02 August 2022, UT1-UTC=-0.0333419, Accumulated Leap Seconds=37, Predicted value + { 2459794.50, 69.216673 }, //03 August 2022, UT1-UTC=-0.0326733, Accumulated Leap Seconds=37, Predicted value + { 2459795.50, 69.216057 }, //04 August 2022, UT1-UTC=-0.0320570, Accumulated Leap Seconds=37, Predicted value + { 2459796.50, 69.215404 }, //05 August 2022, UT1-UTC=-0.0314038, Accumulated Leap Seconds=37, Predicted value + { 2459797.50, 69.214626 }, //06 August 2022, UT1-UTC=-0.0306261, Accumulated Leap Seconds=37, Predicted value + { 2459798.50, 69.213663 }, //07 August 2022, UT1-UTC=-0.0296627, Accumulated Leap Seconds=37, Predicted value + { 2459799.50, 69.212504 }, //08 August 2022, UT1-UTC=-0.0285039, Accumulated Leap Seconds=37, Predicted value + { 2459800.50, 69.211207 }, //09 August 2022, UT1-UTC=-0.0272074, Accumulated Leap Seconds=37, Predicted value + { 2459801.50, 69.209890 }, //10 August 2022, UT1-UTC=-0.0258904, Accumulated Leap Seconds=37, Predicted value + { 2459802.50, 69.208693 }, //11 August 2022, UT1-UTC=-0.0246931, Accumulated Leap Seconds=37, Predicted value + { 2459803.50, 69.207729 }, //12 August 2022, UT1-UTC=-0.0237292, Accumulated Leap Seconds=37, Predicted value + { 2459804.50, 69.207043 }, //13 August 2022, UT1-UTC=-0.0230426, Accumulated Leap Seconds=37, Predicted value + { 2459805.50, 69.206593 }, //14 August 2022, UT1-UTC=-0.0225933, Accumulated Leap Seconds=37, Predicted value + { 2459806.50, 69.206278 }, //15 August 2022, UT1-UTC=-0.0222780, Accumulated Leap Seconds=37, Predicted value + { 2459807.50, 69.205969 }, //16 August 2022, UT1-UTC=-0.0219690, Accumulated Leap Seconds=37, Predicted value + { 2459808.50, 69.205555 }, //17 August 2022, UT1-UTC=-0.0215552, Accumulated Leap Seconds=37, Predicted value + { 2459809.50, 69.204966 }, //18 August 2022, UT1-UTC=-0.0209657, Accumulated Leap Seconds=37, Predicted value + { 2459810.50, 69.204173 }, //19 August 2022, UT1-UTC=-0.0201730, Accumulated Leap Seconds=37, Predicted value + { 2459811.50, 69.203186 }, //20 August 2022, UT1-UTC=-0.0191855, Accumulated Leap Seconds=37, Predicted value + { 2459812.50, 69.202037 }, //21 August 2022, UT1-UTC=-0.0180373, Accumulated Leap Seconds=37, Predicted value + { 2459813.50, 69.200780 }, //22 August 2022, UT1-UTC=-0.0167804, Accumulated Leap Seconds=37, Predicted value + { 2459814.50, 69.199480 }, //23 August 2022, UT1-UTC=-0.0154803, Accumulated Leap Seconds=37, Predicted value + { 2459815.50, 69.198210 }, //24 August 2022, UT1-UTC=-0.0142096, Accumulated Leap Seconds=37, Predicted value + { 2459816.50, 69.197040 }, //25 August 2022, UT1-UTC=-0.0130400, Accumulated Leap Seconds=37, Predicted value + { 2459817.50, 69.196034 }, //26 August 2022, UT1-UTC=-0.0120338, Accumulated Leap Seconds=37, Predicted value + { 2459818.50, 69.195234 }, //27 August 2022, UT1-UTC=-0.0112340, Accumulated Leap Seconds=37, Predicted value + { 2459819.50, 69.194656 }, //28 August 2022, UT1-UTC=-0.0106559, Accumulated Leap Seconds=37, Predicted value + { 2459820.50, 69.194281 }, //29 August 2022, UT1-UTC=-0.0102808, Accumulated Leap Seconds=37, Predicted value + { 2459821.50, 69.194055 }, //30 August 2022, UT1-UTC=-0.0100547, Accumulated Leap Seconds=37, Predicted value + { 2459822.50, 69.193896 }, //31 August 2022, UT1-UTC=-0.0098957, Accumulated Leap Seconds=37, Predicted value + { 2459823.50, 69.193709 }, //01 September 2022, UT1-UTC=-0.0097088, Accumulated Leap Seconds=37, Predicted value + { 2459824.50, 69.193406 }, //02 September 2022, UT1-UTC=-0.0094056, Accumulated Leap Seconds=37, Predicted value + { 2459825.50, 69.192925 }, //03 September 2022, UT1-UTC=-0.0089252, Accumulated Leap Seconds=37, Predicted value + { 2459826.50, 69.192252 }, //04 September 2022, UT1-UTC=-0.0082519, Accumulated Leap Seconds=37, Predicted value + { 2459827.50, 69.191428 }, //05 September 2022, UT1-UTC=-0.0074279, Accumulated Leap Seconds=37, Predicted value + { 2459828.50, 69.190549 }, //06 September 2022, UT1-UTC=-0.0065494, Accumulated Leap Seconds=37, Predicted value + { 2459829.50, 69.189745 }, //07 September 2022, UT1-UTC=-0.0057452, Accumulated Leap Seconds=37, Predicted value + { 2459830.50, 69.189138 }, //08 September 2022, UT1-UTC=-0.0051379, Accumulated Leap Seconds=37, Predicted value + { 2459831.50, 69.188803 }, //09 September 2022, UT1-UTC=-0.0048030, Accumulated Leap Seconds=37, Predicted value + { 2459832.50, 69.188740 }, //10 September 2022, UT1-UTC=-0.0047401, Accumulated Leap Seconds=37, Predicted value + { 2459833.50, 69.188873 }, //11 September 2022, UT1-UTC=-0.0048730, Accumulated Leap Seconds=37, Predicted value + { 2459834.50, 69.189077 }, //12 September 2022, UT1-UTC=-0.0050771, Accumulated Leap Seconds=37, Predicted value + { 2459835.50, 69.189220 }, //13 September 2022, UT1-UTC=-0.0052202, Accumulated Leap Seconds=37, Predicted value + { 2459836.50, 69.189199 }, //14 September 2022, UT1-UTC=-0.0051985, Accumulated Leap Seconds=37, Predicted value + { 2459837.50, 69.188955 }, //15 September 2022, UT1-UTC=-0.0049550, Accumulated Leap Seconds=37, Predicted value + { 2459838.50, 69.188478 }, //16 September 2022, UT1-UTC=-0.0044784, Accumulated Leap Seconds=37, Predicted value + { 2459839.50, 69.187793 }, //17 September 2022, UT1-UTC=-0.0037932, Accumulated Leap Seconds=37, Predicted value + { 2459840.50, 69.186947 }, //18 September 2022, UT1-UTC=-0.0029472, Accumulated Leap Seconds=37, Predicted value + { 2459841.50, 69.186004 }, //19 September 2022, UT1-UTC=-0.0020036, Accumulated Leap Seconds=37, Predicted value + { 2459842.50, 69.185033 }, //20 September 2022, UT1-UTC=-0.0010327, Accumulated Leap Seconds=37, Predicted value + { 2459843.50, 69.184107 }, //21 September 2022, UT1-UTC=-0.0001066, Accumulated Leap Seconds=37, Predicted value + { 2459844.50, 69.183293 }, //22 September 2022, UT1-UTC= 0.0007072, Accumulated Leap Seconds=37, Predicted value + { 2459845.50, 69.182647 }, //23 September 2022, UT1-UTC= 0.0013530, Accumulated Leap Seconds=37, Predicted value + { 2459846.50, 69.182206 }, //24 September 2022, UT1-UTC= 0.0017938, Accumulated Leap Seconds=37, Predicted value + { 2459847.50, 69.181978 }, //25 September 2022, UT1-UTC= 0.0020222, Accumulated Leap Seconds=37, Predicted value + { 2459848.50, 69.181930 }, //26 September 2022, UT1-UTC= 0.0020696, Accumulated Leap Seconds=37, Predicted value + { 2459849.50, 69.181992 }, //27 September 2022, UT1-UTC= 0.0020081, Accumulated Leap Seconds=37, Predicted value + { 2459850.50, 69.182061 }, //28 September 2022, UT1-UTC= 0.0019394, Accumulated Leap Seconds=37, Predicted value + { 2459851.50, 69.182030 }, //29 September 2022, UT1-UTC= 0.0019695, Accumulated Leap Seconds=37, Predicted value + { 2459852.50, 69.181822 }, //30 September 2022, UT1-UTC= 0.0021776, Accumulated Leap Seconds=37, Predicted value + { 2459853.50, 69.181408 }, //01 October 2022, UT1-UTC= 0.0025918, Accumulated Leap Seconds=37, Predicted value + { 2459854.50, 69.180821 }, //02 October 2022, UT1-UTC= 0.0031791, Accumulated Leap Seconds=37, Predicted value + { 2459855.50, 69.180148 }, //03 October 2022, UT1-UTC= 0.0038517, Accumulated Leap Seconds=37, Predicted value + { 2459856.50, 69.179511 }, //04 October 2022, UT1-UTC= 0.0044894, Accumulated Leap Seconds=37, Predicted value + { 2459857.50, 69.179030 }, //05 October 2022, UT1-UTC= 0.0049702, Accumulated Leap Seconds=37, Predicted value + { 2459858.50, 69.178795 }, //06 October 2022, UT1-UTC= 0.0052051, Accumulated Leap Seconds=37, Predicted value + { 2459859.50, 69.178837 }, //07 October 2022, UT1-UTC= 0.0051635, Accumulated Leap Seconds=37, Predicted value + { 2459860.50, 69.179117 }, //08 October 2022, UT1-UTC= 0.0048829, Accumulated Leap Seconds=37, Predicted value + { 2459861.50, 69.179542 }, //09 October 2022, UT1-UTC= 0.0044578, Accumulated Leap Seconds=37, Predicted value + { 2459862.50, 69.179988 }, //10 October 2022, UT1-UTC= 0.0040116, Accumulated Leap Seconds=37, Predicted value + { 2459863.50, 69.180339 }, //11 October 2022, UT1-UTC= 0.0036611, Accumulated Leap Seconds=37, Predicted value + { 2459864.50, 69.180512 }, //12 October 2022, UT1-UTC= 0.0034882, Accumulated Leap Seconds=37, Predicted value + { 2459865.50, 69.180474 }, //13 October 2022, UT1-UTC= 0.0035256, Accumulated Leap Seconds=37, Predicted value + { 2459866.50, 69.180240 }, //14 October 2022, UT1-UTC= 0.0037603, Accumulated Leap Seconds=37, Predicted value + { 2459867.50, 69.179852 }, //15 October 2022, UT1-UTC= 0.0041479, Accumulated Leap Seconds=37, Predicted value + { 2459868.50, 69.179370 }, //16 October 2022, UT1-UTC= 0.0046301, Accumulated Leap Seconds=37, Predicted value + { 2459869.50, 69.178855 }, //17 October 2022, UT1-UTC= 0.0051450, Accumulated Leap Seconds=37, Predicted value + { 2459870.50, 69.178368 }, //18 October 2022, UT1-UTC= 0.0056317, Accumulated Leap Seconds=37, Predicted value + { 2459871.50, 69.177966 }, //19 October 2022, UT1-UTC= 0.0060336, Accumulated Leap Seconds=37, Predicted value + { 2459872.50, 69.177700 }, //20 October 2022, UT1-UTC= 0.0063005, Accumulated Leap Seconds=37, Predicted value + { 2459873.50, 69.177618 }, //21 October 2022, UT1-UTC= 0.0063817, Accumulated Leap Seconds=37, Predicted value + { 2459874.50, 69.177753 }, //22 October 2022, UT1-UTC= 0.0062474, Accumulated Leap Seconds=37, Predicted value + { 2459875.50, 69.178080 }, //23 October 2022, UT1-UTC= 0.0059200, Accumulated Leap Seconds=37, Predicted value + { 2459876.50, 69.178524 }, //24 October 2022, UT1-UTC= 0.0054761, Accumulated Leap Seconds=37, Predicted value + { 2459877.50, 69.178997 }, //25 October 2022, UT1-UTC= 0.0050033, Accumulated Leap Seconds=37, Predicted value + { 2459878.50, 69.179409 }, //26 October 2022, UT1-UTC= 0.0045908, Accumulated Leap Seconds=37, Predicted value + { 2459879.50, 69.179661 }, //27 October 2022, UT1-UTC= 0.0043390, Accumulated Leap Seconds=37, Predicted value + { 2459880.50, 69.179647 }, //28 October 2022, UT1-UTC= 0.0043528, Accumulated Leap Seconds=37, Predicted value + { 2459881.50, 69.179440 }, //29 October 2022, UT1-UTC= 0.0045600, Accumulated Leap Seconds=37, Predicted value + { 2459882.50, 69.179147 }, //30 October 2022, UT1-UTC= 0.0048525, Accumulated Leap Seconds=37, Predicted value + { 2459883.50, 69.178839 }, //31 October 2022, UT1-UTC= 0.0051611, Accumulated Leap Seconds=37, Predicted value + { 2459884.50, 69.178689 }, //01 November 2022, UT1-UTC= 0.0053112, Accumulated Leap Seconds=37, Predicted value + { 2459885.50, 69.178765 }, //02 November 2022, UT1-UTC= 0.0052351, Accumulated Leap Seconds=37, Predicted value + { 2459886.50, 69.179078 }, //03 November 2022, UT1-UTC= 0.0049218, Accumulated Leap Seconds=37, Predicted value + { 2459887.50, 69.179560 }, //04 November 2022, UT1-UTC= 0.0044400, Accumulated Leap Seconds=37, Predicted value + { 2459888.50, 69.180251 }, //05 November 2022, UT1-UTC= 0.0037490, Accumulated Leap Seconds=37, Predicted value + { 2459889.50, 69.180939 }, //06 November 2022, UT1-UTC= 0.0030611, Accumulated Leap Seconds=37, Predicted value + { 2459890.50, 69.181591 }, //07 November 2022, UT1-UTC= 0.0024090, Accumulated Leap Seconds=37, Predicted value + { 2459891.50, 69.182143 }, //08 November 2022, UT1-UTC= 0.0018566, Accumulated Leap Seconds=37, Predicted value + { 2459892.50, 69.182537 }, //09 November 2022, UT1-UTC= 0.0014630, Accumulated Leap Seconds=37, Predicted value + { 2459893.50, 69.182797 }, //10 November 2022, UT1-UTC= 0.0012029, Accumulated Leap Seconds=37, Predicted value + { 2459894.50, 69.182963 }, //11 November 2022, UT1-UTC= 0.0010371, Accumulated Leap Seconds=37, Predicted value + { 2459895.50, 69.182941 }, //12 November 2022, UT1-UTC= 0.0010585, Accumulated Leap Seconds=37, Predicted value + { 2459896.50, 69.182871 }, //13 November 2022, UT1-UTC= 0.0011294, Accumulated Leap Seconds=37, Predicted value + { 2459897.50, 69.182799 }, //14 November 2022, UT1-UTC= 0.0012007, Accumulated Leap Seconds=37, Predicted value + { 2459898.50, 69.182798 }, //15 November 2022, UT1-UTC= 0.0012019, Accumulated Leap Seconds=37, Predicted value + { 2459899.50, 69.182908 }, //16 November 2022, UT1-UTC= 0.0010917, Accumulated Leap Seconds=37, Predicted value + { 2459900.50, 69.183166 }, //17 November 2022, UT1-UTC= 0.0008344, Accumulated Leap Seconds=37, Predicted value + { 2459901.50, 69.183645 }, //18 November 2022, UT1-UTC= 0.0003554, Accumulated Leap Seconds=37, Predicted value + { 2459902.50, 69.184284 }, //19 November 2022, UT1-UTC=-0.0002839, Accumulated Leap Seconds=37, Predicted value + { 2459903.50, 69.185091 }, //20 November 2022, UT1-UTC=-0.0010908, Accumulated Leap Seconds=37, Predicted value + { 2459904.50, 69.185971 }, //21 November 2022, UT1-UTC=-0.0019715, Accumulated Leap Seconds=37, Predicted value + { 2459905.50, 69.186816 }, //22 November 2022, UT1-UTC=-0.0028160, Accumulated Leap Seconds=37, Predicted value + { 2459906.50, 69.187592 }, //23 November 2022, UT1-UTC=-0.0035923, Accumulated Leap Seconds=37, Predicted value + { 2459907.50, 69.188170 }, //24 November 2022, UT1-UTC=-0.0041703, Accumulated Leap Seconds=37, Predicted value + { 2459908.50, 69.188480 }, //25 November 2022, UT1-UTC=-0.0044802, Accumulated Leap Seconds=37, Predicted value + { 2459909.50, 69.188619 }, //26 November 2022, UT1-UTC=-0.0046185, Accumulated Leap Seconds=37, Predicted value + { 2459910.50, 69.188728 }, //27 November 2022, UT1-UTC=-0.0047279, Accumulated Leap Seconds=37, Predicted value + { 2459911.50, 69.188863 }, //28 November 2022, UT1-UTC=-0.0048635, Accumulated Leap Seconds=37, Predicted value + { 2459912.50, 69.189086 }, //29 November 2022, UT1-UTC=-0.0050855, Accumulated Leap Seconds=37, Predicted value + { 2459913.50, 69.189476 }, //30 November 2022, UT1-UTC=-0.0054756, Accumulated Leap Seconds=37, Predicted value + { 2459914.50, 69.190079 }, //01 December 2022, UT1-UTC=-0.0060792, Accumulated Leap Seconds=37, Predicted value + { 2459915.50, 69.190776 }, //02 December 2022, UT1-UTC=-0.0067755, Accumulated Leap Seconds=37, Predicted value + { 2459916.50, 69.191438 }, //03 December 2022, UT1-UTC=-0.0074382, Accumulated Leap Seconds=37, Predicted value + { 2459917.50, 69.192002 }, //04 December 2022, UT1-UTC=-0.0080017, Accumulated Leap Seconds=37, Predicted value + { 2459918.50, 69.192349 }, //05 December 2022, UT1-UTC=-0.0083493, Accumulated Leap Seconds=37, Predicted value + { 2459919.50, 69.192523 }, //06 December 2022, UT1-UTC=-0.0085235, Accumulated Leap Seconds=37, Predicted value + { 2459920.50, 69.192473 }, //07 December 2022, UT1-UTC=-0.0084729, Accumulated Leap Seconds=37, Predicted value + { 2459921.50, 69.192236 }, //08 December 2022, UT1-UTC=-0.0082361, Accumulated Leap Seconds=37, Predicted value + { 2459922.50, 69.191761 }, //09 December 2022, UT1-UTC=-0.0077608, Accumulated Leap Seconds=37, Predicted value + { 2459923.50, 69.191188 }, //10 December 2022, UT1-UTC=-0.0071879, Accumulated Leap Seconds=37, Predicted value + { 2459924.50, 69.190565 }, //11 December 2022, UT1-UTC=-0.0065650, Accumulated Leap Seconds=37, Predicted value + { 2459925.50, 69.190041 }, //12 December 2022, UT1-UTC=-0.0060407, Accumulated Leap Seconds=37, Predicted value + { 2459926.50, 69.189460 }, //13 December 2022, UT1-UTC=-0.0054597, Accumulated Leap Seconds=37, Predicted value + { 2459927.50, 69.189057 }, //14 December 2022, UT1-UTC=-0.0050566, Accumulated Leap Seconds=37, Predicted value + { 2459928.50, 69.188893 }, //15 December 2022, UT1-UTC=-0.0048931, Accumulated Leap Seconds=37, Predicted value + { 2459929.50, 69.188897 }, //16 December 2022, UT1-UTC=-0.0048972, Accumulated Leap Seconds=37, Predicted value + { 2459930.50, 69.189047 }, //17 December 2022, UT1-UTC=-0.0050472, Accumulated Leap Seconds=37, Predicted value + { 2459931.50, 69.189230 }, //18 December 2022, UT1-UTC=-0.0052304, Accumulated Leap Seconds=37, Predicted value + { 2459932.50, 69.189486 }, //19 December 2022, UT1-UTC=-0.0054863, Accumulated Leap Seconds=37, Predicted value + { 2459933.50, 69.189583 }, //20 December 2022, UT1-UTC=-0.0055827, Accumulated Leap Seconds=37, Predicted value + { 2459934.50, 69.189462 }, //21 December 2022, UT1-UTC=-0.0054618, Accumulated Leap Seconds=37, Predicted value + { 2459935.50, 69.189151 }, //22 December 2022, UT1-UTC=-0.0051514, Accumulated Leap Seconds=37, Predicted value + { 2459936.50, 69.188724 }, //23 December 2022, UT1-UTC=-0.0047237, Accumulated Leap Seconds=37, Predicted value + { 2459937.50, 69.188213 }, //24 December 2022, UT1-UTC=-0.0042131, Accumulated Leap Seconds=37, Predicted value + { 2459938.50, 69.187815 }, //25 December 2022, UT1-UTC=-0.0038154, Accumulated Leap Seconds=37, Predicted value + { 2459939.50, 69.187647 }, //26 December 2022, UT1-UTC=-0.0036475, Accumulated Leap Seconds=37, Predicted value + { 2459940.50, 69.187695 }, //27 December 2022, UT1-UTC=-0.0036951, Accumulated Leap Seconds=37, Predicted value + { 2459941.50, 69.188032 }, //28 December 2022, UT1-UTC=-0.0040323, Accumulated Leap Seconds=37, Predicted value + { 2459942.50, 69.188549 }, //29 December 2022, UT1-UTC=-0.0045494, Accumulated Leap Seconds=37, Predicted value + { 2459943.50, 69.189089 }, //30 December 2022, UT1-UTC=-0.0050887, Accumulated Leap Seconds=37, Predicted value + { 2459944.50, 69.189585 }, //31 December 2022, UT1-UTC=-0.0055851, Accumulated Leap Seconds=37, Predicted value + { 2459945.50, 69.189898 }, //01 January 2023, UT1-UTC=-0.0058978, Accumulated Leap Seconds=37, Predicted value + { 2459946.50, 69.190091 }, //02 January 2023, UT1-UTC=-0.0060914, Accumulated Leap Seconds=37, Predicted value + { 2459947.50, 69.190062 }, //03 January 2023, UT1-UTC=-0.0060623, Accumulated Leap Seconds=37, Predicted value + { 2459948.50, 69.189799 }, //04 January 2023, UT1-UTC=-0.0057991, Accumulated Leap Seconds=37, Predicted value + { 2459949.50, 69.189434 }, //05 January 2023, UT1-UTC=-0.0054336, Accumulated Leap Seconds=37, Predicted value + { 2459950.50, 69.188907 }, //06 January 2023, UT1-UTC=-0.0049071, Accumulated Leap Seconds=37, Predicted value + { 2459951.50, 69.188384 }, //07 January 2023, UT1-UTC=-0.0043839, Accumulated Leap Seconds=37, Predicted value + { 2459952.50, 69.187887 }, //08 January 2023, UT1-UTC=-0.0038868, Accumulated Leap Seconds=37, Predicted value + { 2459953.50, 69.187448 }, //09 January 2023, UT1-UTC=-0.0034478, Accumulated Leap Seconds=37, Predicted value + { 2459954.50, 69.187210 }, //10 January 2023, UT1-UTC=-0.0032097, Accumulated Leap Seconds=37, Predicted value + { 2459955.50, 69.187152 }, //11 January 2023, UT1-UTC=-0.0031518, Accumulated Leap Seconds=37, Predicted value + { 2459956.50, 69.187287 }, //12 January 2023, UT1-UTC=-0.0032870, Accumulated Leap Seconds=37, Predicted value + { 2459957.50, 69.187619 }, //13 January 2023, UT1-UTC=-0.0036190, Accumulated Leap Seconds=37, Predicted value + { 2459958.50, 69.188074 }, //14 January 2023, UT1-UTC=-0.0040739, Accumulated Leap Seconds=37, Predicted value + { 2459959.50, 69.188521 }, //15 January 2023, UT1-UTC=-0.0045215, Accumulated Leap Seconds=37, Predicted value + { 2459960.50, 69.188904 }, //16 January 2023, UT1-UTC=-0.0049036, Accumulated Leap Seconds=37, Predicted value + { 2459961.50, 69.189138 }, //17 January 2023, UT1-UTC=-0.0051382, Accumulated Leap Seconds=37, Predicted value + { 2459962.50, 69.189164 }, //18 January 2023, UT1-UTC=-0.0051639, Accumulated Leap Seconds=37, Predicted value + { 2459963.50, 69.189012 }, //19 January 2023, UT1-UTC=-0.0050120, Accumulated Leap Seconds=37, Predicted value + { 2459964.50, 69.188785 }, //20 January 2023, UT1-UTC=-0.0047853, Accumulated Leap Seconds=37, Predicted value + { 2459965.50, 69.188596 }, //21 January 2023, UT1-UTC=-0.0045964, Accumulated Leap Seconds=37, Predicted value + { 2459966.50, 69.188547 }, //22 January 2023, UT1-UTC=-0.0045470, Accumulated Leap Seconds=37, Predicted value + { 2459967.50, 69.188706 }, //23 January 2023, UT1-UTC=-0.0047056, Accumulated Leap Seconds=37, Predicted value + { 2459968.50, 69.189143 }, //24 January 2023, UT1-UTC=-0.0051434, Accumulated Leap Seconds=37, Predicted value + { 2459969.50, 69.189811 }, //25 January 2023, UT1-UTC=-0.0058112, Accumulated Leap Seconds=37, Predicted value + { 2459970.50, 69.190595 }, //26 January 2023, UT1-UTC=-0.0065954, Accumulated Leap Seconds=37, Predicted value + { 2459971.50, 69.191341 }, //27 January 2023, UT1-UTC=-0.0073410, Accumulated Leap Seconds=37, Predicted value + { 2459972.50, 69.192088 }, //28 January 2023, UT1-UTC=-0.0080883, Accumulated Leap Seconds=37, Predicted value + { 2459973.50, 69.192529 }, //29 January 2023, UT1-UTC=-0.0085287, Accumulated Leap Seconds=37, Predicted value + { 2459974.50, 69.192783 }, //30 January 2023, UT1-UTC=-0.0087826, Accumulated Leap Seconds=37, Predicted value + { 2459975.50, 69.192774 }, //31 January 2023, UT1-UTC=-0.0087735, Accumulated Leap Seconds=37, Predicted value + { 2459976.50, 69.192617 }, //01 February 2023, UT1-UTC=-0.0086169, Accumulated Leap Seconds=37, Predicted value + { 2459977.50, 69.192325 }, //02 February 2023, UT1-UTC=-0.0083253, Accumulated Leap Seconds=37, Predicted value + { 2459978.50, 69.191929 }, //03 February 2023, UT1-UTC=-0.0079286, Accumulated Leap Seconds=37, Predicted value + { 2459979.50, 69.191506 }, //04 February 2023, UT1-UTC=-0.0075057, Accumulated Leap Seconds=37, Predicted value + { 2459980.50, 69.191085 }, //05 February 2023, UT1-UTC=-0.0070855, Accumulated Leap Seconds=37, Predicted value + { 2459981.50, 69.190879 }, //06 February 2023, UT1-UTC=-0.0068795, Accumulated Leap Seconds=37, Predicted value + { 2459982.50, 69.190751 }, //07 February 2023, UT1-UTC=-0.0067512, Accumulated Leap Seconds=37, Predicted value + { 2459983.50, 69.190744 }, //08 February 2023, UT1-UTC=-0.0067444, Accumulated Leap Seconds=37, Predicted value + { 2459984.50, 69.190887 }, //09 February 2023, UT1-UTC=-0.0068872, Accumulated Leap Seconds=37, Predicted value + { 2459985.50, 69.191177 }, //10 February 2023, UT1-UTC=-0.0071770, Accumulated Leap Seconds=37, Predicted value + { 2459986.50, 69.191456 }, //11 February 2023, UT1-UTC=-0.0074558, Accumulated Leap Seconds=37, Predicted value + { 2459987.50, 69.191643 }, //12 February 2023, UT1-UTC=-0.0076427, Accumulated Leap Seconds=37, Predicted value + { 2459988.50, 69.191700 }, //13 February 2023, UT1-UTC=-0.0077005, Accumulated Leap Seconds=37, Predicted value + { 2459989.50, 69.191568 }, //14 February 2023, UT1-UTC=-0.0075683, Accumulated Leap Seconds=37, Predicted value + { 2459990.50, 69.191301 }, //15 February 2023, UT1-UTC=-0.0073008, Accumulated Leap Seconds=37, Predicted value + { 2459991.50, 69.190958 }, //16 February 2023, UT1-UTC=-0.0069581, Accumulated Leap Seconds=37, Predicted value + { 2459992.50, 69.190596 }, //17 February 2023, UT1-UTC=-0.0065960, Accumulated Leap Seconds=37, Predicted value + { 2459993.50, 69.190337 }, //18 February 2023, UT1-UTC=-0.0063371, Accumulated Leap Seconds=37, Predicted value + { 2459994.50, 69.190344 }, //19 February 2023, UT1-UTC=-0.0063438, Accumulated Leap Seconds=37, Predicted value + { 2459995.50, 69.190681 }, //20 February 2023, UT1-UTC=-0.0066811, Accumulated Leap Seconds=37, Predicted value + { 2459996.50, 69.191332 }, //21 February 2023, UT1-UTC=-0.0073319, Accumulated Leap Seconds=37, Predicted value + { 2459997.50, 69.192052 }, //22 February 2023, UT1-UTC=-0.0080519, Accumulated Leap Seconds=37, Predicted value + { 2459998.50, 69.192817 }, //23 February 2023, UT1-UTC=-0.0088174, Accumulated Leap Seconds=37, Predicted value + { 2459999.50, 69.193531 }, //24 February 2023, UT1-UTC=-0.0095311, Accumulated Leap Seconds=37, Predicted value + { 2460000.50, 69.194159 }, //25 February 2023, UT1-UTC=-0.0101595, Accumulated Leap Seconds=37, Predicted value + { 2460001.50, 69.194486 }, //26 February 2023, UT1-UTC=-0.0104863, Accumulated Leap Seconds=37, Predicted value + { 2460002.50, 69.194585 }, //27 February 2023, UT1-UTC=-0.0105853, Accumulated Leap Seconds=37, Predicted value + { 2460003.50, 69.194543 }, //28 February 2023, UT1-UTC=-0.0105427, Accumulated Leap Seconds=37, Predicted value + { 2460004.50, 69.194305 }, //01 March 2023, UT1-UTC=-0.0103049, Accumulated Leap Seconds=37, Predicted value + { 2460005.50, 69.194021 }, //02 March 2023, UT1-UTC=-0.0100207, Accumulated Leap Seconds=37, Predicted value + { 2460006.50, 69.193719 }, //03 March 2023, UT1-UTC=-0.0097187, Accumulated Leap Seconds=37, Predicted value + { 2460007.50, 69.193466 }, //04 March 2023, UT1-UTC=-0.0094663, Accumulated Leap Seconds=37, Predicted value + { 2460008.50, 69.193308 }, //05 March 2023, UT1-UTC=-0.0093079, Accumulated Leap Seconds=37, Predicted value + { 2460009.50, 69.193310 }, //06 March 2023, UT1-UTC=-0.0093100, Accumulated Leap Seconds=37, Predicted value + { 2460010.50, 69.193446 }, //07 March 2023, UT1-UTC=-0.0094459, Accumulated Leap Seconds=37, Predicted value + { 2460011.50, 69.193825 }, //08 March 2023, UT1-UTC=-0.0098253, Accumulated Leap Seconds=37, Predicted value + { 2460012.50, 69.194306 }, //09 March 2023, UT1-UTC=-0.0103065, Accumulated Leap Seconds=37, Predicted value + { 2460013.50, 69.194842 }, //10 March 2023, UT1-UTC=-0.0108423, Accumulated Leap Seconds=37, Predicted value + { 2460014.50, 69.195397 }, //11 March 2023, UT1-UTC=-0.0113972, Accumulated Leap Seconds=37, Predicted value + { 2460015.50, 69.195819 }, //12 March 2023, UT1-UTC=-0.0118193, Accumulated Leap Seconds=37, Predicted value + { 2460016.50, 69.196140 }, //13 March 2023, UT1-UTC=-0.0121404, Accumulated Leap Seconds=37, Predicted value + { 2460017.50, 69.196213 }, //14 March 2023, UT1-UTC=-0.0122130, Accumulated Leap Seconds=37, Predicted value + { 2460018.50, 69.196011 }, //15 March 2023, UT1-UTC=-0.0120110, Accumulated Leap Seconds=37, Predicted value + { 2460019.50, 69.195689 }, //16 March 2023, UT1-UTC=-0.0116890, Accumulated Leap Seconds=37, Predicted value + { 2460020.50, 69.195380 }, //17 March 2023, UT1-UTC=-0.0113799, Accumulated Leap Seconds=37, Predicted value + { 2460021.50, 69.195185 }, //18 March 2023, UT1-UTC=-0.0111847, Accumulated Leap Seconds=37, Predicted value + { 2460022.50, 69.195223 }, //19 March 2023, UT1-UTC=-0.0112226, Accumulated Leap Seconds=37, Predicted value + { 2460023.50, 69.195522 }, //20 March 2023, UT1-UTC=-0.0115223, Accumulated Leap Seconds=37, Predicted value + { 2460024.50, 69.196079 }, //21 March 2023, UT1-UTC=-0.0120794, Accumulated Leap Seconds=37, Predicted value + { 2460025.50, 69.196783 }, //22 March 2023, UT1-UTC=-0.0127835, Accumulated Leap Seconds=37, Predicted value + { 2460026.50, 69.197422 }, //23 March 2023, UT1-UTC=-0.0134220, Accumulated Leap Seconds=37, Predicted value + { 2460027.50, 69.197947 }, //24 March 2023, UT1-UTC=-0.0139467, Accumulated Leap Seconds=37, Predicted value + { 2460028.50, 69.198219 }, //25 March 2023, UT1-UTC=-0.0142187, Accumulated Leap Seconds=37, Predicted value + +//Values from https://cddis.nasa.gov/archive/products/iers/deltat.preds + { 2460036.75, 69.82 }, //2023.25, Predicted value + { 2460128.00, 69.87 }, //2023.50, Predicted value + { 2460219.25, 69.89 }, //2023.75, Predicted value + { 2460310.50, 69.97 }, //2024.00, Predicted value + { 2460402.00, 70.05 }, //2024.25, Predicted value + { 2460493.50, 70.11 }, //2024.50, Predicted value + { 2460585.00, 70.12 }, //2024.75, Predicted value + { 2460676.50, 70.20 }, //2025.00, Predicted value + { 2460767.75, 70.29 }, //2025.25, Predicted value + { 2460859.00, 70.34 }, //2025.50, Predicted value + { 2460950.25, 70.35 }, //2025.75, Predicted value + { 2461041.50, 70.43 }, //2026.00, Predicted value + { 2461132.75, 70.52 }, //2026.25, Predicted value + { 2461224.00, 70.57 }, //2026.50, Predicted value + { 2461315.25, 70.59 }, //2026.75, Predicted value + { 2461406.50, 70.67 }, //2027.00, Predicted value + { 2461497.75, 70.75 }, //2027.25, Predicted value + { 2461589.00, 70.81 }, //2027.50, Predicted value + { 2461680.25, 70.83 }, //2027.75, Predicted value + { 2461771.50, 70.91 }, //2028.00, Predicted value + { 2461863.00, 71.00 }, //2028.25, Predicted value + { 2461954.50, 71.07 }, //2028.50, Predicted value + { 2462046.00, 71.09 }, //2028.75, Predicted value + { 2462137.50, 71.18 }, //2029.00, Predicted value + { 2462228.75, 71.27 }, //2029.25, Predicted value + { 2462320.00, 71.34 }, //2029.50, Predicted value + { 2462411.25, 71.36 }, //2029.75, Predicted value + { 2462502.50, 71.46 }, //2030.00, Predicted value + { 2462593.75, 71.56 }, //2030.25, Predicted value + { 2462685.00, 71.63 }, //2030.50, Predicted value + { 2462776.25, 71.66 }, //2030.75, Predicted value + { 2462867.50, 71.76 }, //2031.00, Predicted value + { 2462958.75, 71.86 }, //2031.25, Predicted value + { 2463050.00, 71.94 }, //2031.50, Predicted value + { 2463141.25, 71.97 }, //2031.75, Predicted value + { 2463232.50, 72.07 } //2032.00, Predicted value +} }; +#endif //#ifndef AAPLUS_DELTAT_NO_HIGH_PRECISION + +struct LeapSecondCoefficient +{ + double JD; + double LeapSeconds; + double BaseMJD; + double Coefficient; +}; + +constexpr array g_LeapSecondCoefficients //Cumulative leap second values as taken from https://cddis.nasa.gov/archive/products/iers/tai-utc.dat +{ { + { 2437300.5, 1.4228180, 37300, 0.001296 }, //1 Jan 1961 + { 2437512.5, 1.3728180, 37300, 0.001296 }, + { 2437665.5, 1.8458580, 37665, 0.0011232 }, + { 2438334.5, 1.9458580, 37665, 0.0011232 }, + { 2438395.5, 3.2401300, 38761, 0.001296 }, + { 2438486.5, 3.3401300, 38761, 0.001296 }, + { 2438639.5, 3.4401300, 38761, 0.001296 }, + { 2438761.5, 3.5401300, 38761, 0.001296 }, + { 2438820.5, 3.6401300, 38761, 0.001296 }, + { 2438942.5, 3.7401300, 38761, 0.001296 }, + { 2439004.5, 3.8401300, 38761, 0.001296 }, + { 2439126.5, 4.3131700, 39126, 0.002592 }, + { 2439887.5, 4.2131700, 39126, 0.002592 }, + { 2441317.5, 10.0, 41317, 0.0 }, + { 2441499.5, 11.0, 41317, 0.0 }, + { 2441683.5, 12.0, 41317, 0.0 }, + { 2442048.5, 13.0, 41317, 0.0 }, + { 2442413.5, 14.0, 41317, 0.0 }, + { 2442778.5, 15.0, 41317, 0.0 }, + { 2443144.5, 16.0, 41317, 0.0 }, + { 2443509.5, 17.0, 41317, 0.0 }, + { 2443874.5, 18.0, 41317, 0.0 }, + { 2444239.5, 19.0, 41317, 0.0 }, + { 2444786.5, 20.0, 41317, 0.0 }, + { 2445151.5, 21.0, 41317, 0.0 }, + { 2445516.5, 22.0, 41317, 0.0 }, + { 2446247.5, 23.0, 41317, 0.0 }, + { 2447161.5, 24.0, 41317, 0.0 }, + { 2447892.5, 25.0, 41317, 0.0 }, + { 2448257.5, 26.0, 41317, 0.0 }, + { 2448804.5, 27.0, 41317, 0.0 }, + { 2449169.5, 28.0, 41317, 0.0 }, + { 2449534.5, 29.0, 41317, 0.0 }, + { 2450083.5, 30.0, 41317, 0.0 }, + { 2450630.5, 31.0, 41317, 0.0 }, + { 2451179.5, 32.0, 41317, 0.0 }, + { 2453736.5, 33.0, 41317, 0.0 }, + { 2454832.5, 34.0, 41317, 0.0 }, + { 2456109.5, 35.0, 41317, 0.0 }, + { 2457204.5, 36.0, 41317, 0.0 }, + { 2457754.5, 37.0, 41317, 0.0 } //1 January 2017 +} }; + + +////////////////////////////////// Implementation ///////////////////////////// + +CAADynamicalTime::DELTAT_PROC CAADynamicalTime::sm_pDeltaTProc = nullptr; + +CAADynamicalTime::DELTAT_PROC CAADynamicalTime::SetUserDefinedDeltaT(DELTAT_PROC pProc) noexcept +{ + DELTAT_PROC pOld{sm_pDeltaTProc}; + sm_pDeltaTProc = pProc; + return pOld; +} + +double CAADynamicalTime::DeltaT(double JD) +{ + //Allow end-user customization of the DeltaT function + if (sm_pDeltaTProc != nullptr) + return sm_pDeltaTProc(JD); + + //What will be the return value from the method + double Delta{0}; + + //Determine if we can use the lookup table +#ifndef AAPLUS_DELTAT_NO_HIGH_PRECISION + constexpr auto nLookupElements{g_DeltaTValues.size()}; + assert(nLookupElements >= 2); + if ((JD >= g_DeltaTValues[0].JD) && (JD < g_DeltaTValues[nLookupElements - 1].JD)) + { + //Find the index in the lookup table which contains the JD value closest to the JD input parameter + DeltaTValue toFind{JD, 0}; + const auto iter = std::upper_bound(g_DeltaTValues.cbegin(), g_DeltaTValues.cend(), toFind, [](const DeltaTValue& element1, const DeltaTValue& element2) noexcept -> bool + { + return element1.JD < element2.JD; + }); + assert(iter != g_DeltaTValues.cend()); + const auto nFoundIndex{std::distance(g_DeltaTValues.cbegin(), iter)}; + + //Now do a simple linear interpolation of the DeltaT values from the lookup table + #ifdef _MSC_VER + #pragma warning(suppress : 28020) + #endif //#ifdef _MSC_VER + Delta = (JD - g_DeltaTValues[nFoundIndex - 1].JD) / (g_DeltaTValues[nFoundIndex].JD - g_DeltaTValues[nFoundIndex - 1].JD) * (g_DeltaTValues[nFoundIndex].DeltaT - g_DeltaTValues[nFoundIndex - 1].DeltaT) + g_DeltaTValues[nFoundIndex - 1].DeltaT; + } + else +#endif //#ifndef AAPLUS_DELTAT_NO_HIGH_PRECISION + { + const CAADate date{JD, CAADate::AfterPapalReform(JD)}; + const double y{date.FractionalYear()}; + + //Use the polynomial expressions from Espenak & Meeus 2006. References: http://eclipse.gsfc.nasa.gov/SEcat5/deltatpoly.html and + //http://www.staff.science.uu.nl/~gent0113/deltat/deltat_old.htm (Espenak & Meeus 2006 section) + if (y < -500) + { + const double u{(y - 1820)/100.0}; + const double u2{u*u}; + Delta = -20 + (32*u2); + } + else if (y < 500) + { + const double u{y/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + const double u5{u4*u}; + const double u6{u5*u}; + Delta = 10583.6 + (-1014.41*u) + (33.78311*u2) + (-5.952053*u3) + (-0.1798452*u4) + (0.022174192*u5) + (0.0090316521*u6); + } + else if (y < 1600) + { + const double u{(y - 1000)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + const double u5{u4*u}; + const double u6{u5*u}; + Delta = 1574.2 + (-556.01*u) + (71.23472*u2) + (0.319781*u3) + (-0.8503463*u4) + (-0.005050998*u5) + (0.0083572073*u6); + } + else if (y < 1700) + { + const double u{(y - 1600)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + Delta = 120 + (-98.08*u) + (-153.2*u2) + (u3/0.007129); + } + else if (y < 1800) + { + const double u{(y - 1700)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + Delta = 8.83 + (16.03*u) + (-59.285*u2) + (133.36*u3) + (-u4/0.01174); + } + else if (y < 1860) + { + const double u{(y - 1800)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + const double u5{u4*u}; + const double u6{u5*u}; + const double u7{u6*u}; + Delta = 13.72 + (-33.2447*u) + (68.612*u2) + (4111.6*u3) + (-37436*u4) + (121272*u5) + (-169900*u6) + (87500*u7); + } + else if (y < 1900) + { + const double u{(y - 1860)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + const double u5{u4*u}; + Delta = 7.62 + (57.37*u) + (-2517.54*u2) + (16806.68*u3) + (-44736.24*u4) + (u5/0.0000233174); + } + else if (y < 1920) + { + const double u{(y - 1900)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + Delta = -2.79 + (149.4119*u) + (-598.939*u2) + (6196.6*u3) + (-19700*u4); + } + else if (y < 1941) + { + const double u{(y - 1920)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + Delta = 21.20 + (84.493*u) + (-761.00*u2) + (2093.6*u3); + } + else if (y < 1961) + { + const double u{(y - 1950)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + Delta = 29.07 + (40.7*u) + (-u2/0.0233) + (u3/0.002547); + } + else if (y < 1986) + { + const double u{(y - 1975)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + Delta = 45.45 + 106.7*u - u2/0.026 - u3/0.000718; + } + else if (y < 2005) + { + const double u{(y - 2000)/100.0}; + const double u2{u*u}; + const double u3{u2*u}; + const double u4{u3*u}; + const double u5{u4*u}; + Delta = 63.86 + (33.45*u) + (-603.74*u2) + (1727.5*u3) + (65181.4*u4) + (237359.9*u5); + } + else if (y < 2050) + { + const double u{(y - 2000)/100.0}; + const double u2{u*u}; + Delta = 62.92 + (32.217*u) + (55.89*u2); + } + else if (y < 2150) + { + const double u{(y - 1820)/100.0}; + const double u2{u*u}; + Delta = -205.72 + (56.28*u) + (32*u2); + } + else + { + const double u{(y - 1820)/100.0}; + const double u2 = u*u; + Delta = -20 + (32*u2); + } + } + + return Delta; +} + +double CAADynamicalTime::CumulativeLeapSeconds(double JD) +{ + //What will be the return value from the method + double LeapSeconds{0}; + + if (JD >= g_LeapSecondCoefficients[0].JD) + { + constexpr auto nLookupElements{g_LeapSecondCoefficients.size()}; + assert(nLookupElements >= 2); + if (JD < g_LeapSecondCoefficients[nLookupElements - 1].JD) + { + //Find the index in the lookup table which contains the JD value closest to the JD input parameter + LeapSecondCoefficient toFind{JD, 0, 0, 0}; + const auto iter = std::upper_bound(g_LeapSecondCoefficients.cbegin(), g_LeapSecondCoefficients.cend(), toFind, [](const LeapSecondCoefficient& element1, const LeapSecondCoefficient& element2) noexcept -> bool + { + return element1.JD < element2.JD; + }); + + assert(iter != g_LeapSecondCoefficients.cend()); + const auto nFoundIndex{std::distance(g_LeapSecondCoefficients.cbegin(), iter)}; + LeapSeconds = g_LeapSecondCoefficients[nFoundIndex - 1].LeapSeconds + (JD - 2400000.5 - g_LeapSecondCoefficients[nFoundIndex - 1].BaseMJD) * g_LeapSecondCoefficients[nFoundIndex - 1].Coefficient; + } + else + LeapSeconds = g_LeapSecondCoefficients[nLookupElements - 1].LeapSeconds + (JD - 2400000.5 - g_LeapSecondCoefficients[nLookupElements - 1].BaseMJD) * g_LeapSecondCoefficients[nLookupElements - 1].Coefficient; + } + + return LeapSeconds; +} + +double CAADynamicalTime::TT2UTC(double JD) +{ + //Outside of the range 1 January 1961 (first entry in g_LeapSecondCoefficients) to 500 days after the last leap second (last entry in g_LeapSecondCoefficients), + //we implement TT2UTC as TT2UT1 + constexpr auto nLookupElements{g_LeapSecondCoefficients.size()}; + assert(nLookupElements >= 2); + if ((JD < g_LeapSecondCoefficients[0].JD) || (JD > (g_LeapSecondCoefficients[nLookupElements - 1].JD + 500))) + return TT2UT1(JD); + + const double DT{DeltaT(JD)}; + const double UT1{JD - (DT / 86400.0)}; + const double LeapSeconds{CumulativeLeapSeconds(JD)}; + return ((DT - LeapSeconds - 32.184) / 86400.0) + UT1; +} + +double CAADynamicalTime::UTC2TT(double JD) +{ + //Outside of the range 1 January 1961 (first entry in g_LeapSecondCoefficients) to 500 days after the last leap second (last entry in g_LeapSecondCoefficients), + //we implement TT2UTC as TT2UT1 + constexpr auto nLookupElements{g_LeapSecondCoefficients.size()}; + assert(nLookupElements >= 2); + if ((JD < g_LeapSecondCoefficients[0].JD) || (JD >(g_LeapSecondCoefficients[nLookupElements - 1].JD + 500))) + return UT12TT(JD); + + const double DT{DeltaT(JD)}; + const double LeapSeconds{CumulativeLeapSeconds(JD)}; + const double UT1{JD - ((DT - LeapSeconds - 32.184) / 86400.0)}; + return UT1 + (DT / 86400.0); +} + +double CAADynamicalTime::TT2UT1(double JD) +{ + return JD - (DeltaT(JD) / 86400.0); +} + +double CAADynamicalTime::UT12TT(double JD) +{ + return JD + (DeltaT(JD) / 86400.0); +} + +double CAADynamicalTime::UT1MinusUTC(double JD) +{ + const double JDUTC{JD + ((CAADynamicalTime::DeltaT(JD) - CumulativeLeapSeconds(JD) - 32.184) / 86400)}; + return (JD - JDUTC) * 86400; +} diff --git a/Vendor/AA+/1.6.3/AADynamicalTime.h b/Sources/AAPlus/include/AADynamicalTime.h old mode 100755 new mode 100644 similarity index 74% rename from Vendor/AA+/1.6.3/AADynamicalTime.h rename to Sources/AAPlus/include/AADynamicalTime.h index 80d9528..a1fe053 --- a/Vendor/AA+/1.6.3/AADynamicalTime.h +++ b/Sources/AAPlus/include/AADynamicalTime.h @@ -1,10 +1,10 @@ /* -Module : AADYNAMICALTIME.H +Module : AADynamicalTime.h Purpose: Implementation for the algorithms which provides for conversion between Universal Time (both UT1 and UTC) and Terrestrial Time (TT) aka Terrestrial Dynamical Time (TDT) aka Ephemeris Time (ET) Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,16 +38,33 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAADynamicalTime { public: +//Typedefs + using DELTAT_PROC = double (*) (double JD); + //Static methods + static DELTAT_PROC SetUserDefinedDeltaT(DELTAT_PROC pProc) noexcept; static double DeltaT(double JD); static double CumulativeLeapSeconds(double JD); static double TT2UTC(double JD); static double UTC2TT(double JD); - static double TT2TAI(double JD); - static double TAI2TT(double JD); + + constexpr static double TT2TAI(double JD) + { + return JD - (32.184 / 86400.0); + } + + constexpr static double TAI2TT(double JD) + { + return JD + (32.184 / 86400.0); + } + static double TT2UT1(double JD); static double UT12TT(double JD); static double UT1MinusUTC(double JD); + +protected: +//Member variables + static DELTAT_PROC sm_pDeltaTProc; }; diff --git a/Sources/AAPlus/include/AAELP2000.cpp b/Sources/AAPlus/include/AAELP2000.cpp new file mode 100644 index 0000000..040b65a --- /dev/null +++ b/Sources/AAPlus/include/AAELP2000.cpp @@ -0,0 +1,38944 @@ +/* +Module : AAELP2000.cpp +Purpose: Implementation for the algorithms for ELP2000-82B +Created: PJN / 31-12-2015 +History: PJN / 31-12-2015 1. Initial public release. + PJN / 04-01-2016 1. Major cleanup and refactoring of the code. The new reimplementation should prove + faster and easier to maintain going forward. + 2. Updated copyright details + PJN / 30-07-2017 1. Removed unnecessary SECOND_2_RAD define. + 2. Updated various CAAELP2000 methods to use "const" parameters. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 18-04-2020 1. Reworked C arrays to use std::array + PJN / 29-04-2020 1. Fixed a compilation issue on GCC where size_t was undefined in various modules. + Thanks to Bert Devlieghe for reporting this bug. + PJN / 01-06-2020 1. Fixed a bug in CAAELP2000::SunMeanAnomaly where some local variables were not + initialized. Thanks to "Carlos" for reporting this bug. + 2. Renamed CAAELP2000::MoonMeanLongitude to CAAELP2000::MoonMeanMeanLongitude. + 3. Renamed CAAELP2000::MoonMeanLongitudeLunarPerigee to + CAAELP2000::MeanLongitudeLunarPerigee. + 4. Renamed CAAELP2000::MoonMeanLongitudeLunarAscendingNode to + CAAELP2000::MeanLongitudeLunarAscendingNode. + 5. Renamed CAAELP2000::EarthMoonBarycentreMeanLongitude to + CAAELP2000::MeanHeliocentricMeanLongitudeEarthMoonBarycentre. + 6. Renamed CAAELP2000::EarthMoonBarycentreMeanLongitudeOfPerihelion to + CAAELP2000::MeanLongitudeOfPerilhelionOfEarthMoonBarycentre + +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////// Includes ////////////////////////////////////// + +#include "stdafx.h" +#include "AAELP2000.h" +#include "AACoordinateTransformation.h" +#include "AA3DCoordinate.h" +#include "AADefines.h" +#include +#include +#include +using namespace std; + + +////////////////////////////// Macros / Defines /////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26481 26485) +#endif //#ifdef _MSC_VER + +//Lunar constants +constexpr double AM = .074801329518; +constexpr double DTASM = 0.022921886117733679; //ALFA * 2.0 / (AM * 3.0) where ALFA .002571881335 + +//Lunar arguments +constexpr array g_W +{ { + 3.8103444305883079, //CAACoordinateTransformation::DegreesToRadians(218 + 18/60.0 + 59.95571/3600.0), + 1.4547885323225087, //CAACoordinateTransformation::DegreesToRadians(83 + 21/60.0 + 11.67475/3600.0), + 2.1824391972168398, //CAACoordinateTransformation::DegreesToRadians(125 + 2/60.0 + 40.39816/3600.0), + 8399.6847317739139, //1732559343.73604" + 70.993304818359618, //14643420.2632" + -33.781426356625921, //-6967919.3622" + -2.8547283984772807e-5 , //-5.8883" + -0.00018557504160038375, //-38.2776" + 3.0844816019550893e-5, //6.3622" + 3.2017095500473753e-8, //0.006604" + -2.1839401892941265e-7, //-0.045047" + 3.6967043184602116e-8, //0.007625" + -1.5363745554361197e-10, //-0.00003169" + 1.0327016221314225e-9, //0.00021301" + -1.7385418604587960e-10 //-0.00003586" +} }; + +constexpr array g_EARTH +{ { + 1.7534703431506580, //CAACoordinateTransformation::DegreesToRadians(100 + 27/60.0 + 59.22059/3600.0) + 628.30758496215537, //129597742.2758" + -9.7932363584126268e-8, //-0.0202" + 4.3633231299858238e-11, //0.000009" + 7.2722052166430391e-13 //0.00000015" +} }; + +constexpr array g_PERI +{ { + 1.7965955233587829, //CAACoordinateTransformation::DegreesToRadians(102 + 56/60.0 + 14.42753/3600.0), + 0.0056297936673156855, //1161.2283" + 2.5826024792704977e-6, //0.5327" + -6.6904287993115966e-10, //-0.000138" + 0.0 +} }; + +//Planetary arguments +constexpr array, 8> g_P +{ { + { 4.4026088424029615, 2608.7903141574106 }, //CAACoordinateTransformation::DegreesToRadians(252 + 15/60.0 + 3.25986/3600.0), 538101628.68898" + { 3.1761466969075944, 1021.3285546211089 }, //CAACoordinateTransformation::DegreesToRadians(181 + 58/60.0 + 47.28305/3600.0), 210664136.43355" + { 1.7534703431506580, 628.30758496215537 }, //g_EARTH[0], g_EARTH[1] + { 6.2034809133999449, 334.06124314922965 }, //CAACoordinateTransformation::DegreesToRadians(355 + 25/60.0 + 59.78866/3600.0), 68905077.59284" + { 0.59954649738867349, 52.969096509472053 }, //CAACoordinateTransformation::DegreesToRadians(34 + 21/60.0 + 5.34212/3600.0), 10925660.42861" + { 0.87401675651848076, 21.329909543800007 }, //CAACoordinateTransformation::DegreesToRadians(50 + 4/60.0 + 38.89694/3600.0), 4399609.65932" + { 5.4812938716049908, 7.4781598567143535 }, //CAACoordinateTransformation::DegreesToRadians(314 + 3/60.0 + 18.01841/3600.0), 1542481.19393" + { 5.3118862867834666, 3.8133035637584558 } //CAACoordinateTransformation::DegreesToRadians(304 + 20/60.0 + 55.19575/3600.0), 786550.32074" +} }; + +//Corrections of the constants (fit to DE200/LE200) +constexpr double g_DELNU = 3.2093561586235289e-10; //0.55604" / g_W[3] +constexpr double g_DELE = 8.6733167550495987e-8; //0.01789" +constexpr double g_DELG = -3.9105071518295170e-7; //-0.08066" +constexpr double g_DELNP = -3.7078095034525493e-11; //-0.06424" / g_W[3] +constexpr double g_DELEP = -6.2439153990097128e-7; //-0.12879" + +constexpr array g_ZETA +{ { + 3.8103444305883079, //g_W[0] + 8399.7091135222672 //g_W[3] + 5029.0966" +} }; + +//The main ELP2000-82b tables +constexpr array g_ELP1 +{ { + { { 0, 0, 0, 2 }, -411.60287, { 168.48, -18433.81, -121.62, 0.40, -0.18, 0.00 } }, + { { 0, 0, 0, 4 }, 0.42034, { -0.39, 37.65, 0.57, 0.00, 0.00, 0.00 } }, + { { 0, 0, 0, 6 }, -0.00059, { 0.00, -0.08, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -6 }, 0.00016, { 0.00, 0.02, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -4 }, -0.08019, { 0.77, -7.22, -1.46, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -2 }, 39.53393, { -395.24, 1788.33, 720.91, -2.60, 0.90, 0.00 } }, + { { 0, 0, 1, 0 }, 22639.55000, { 0.00, 0.00, 412529.61, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, 2 }, -45.10032, { 17.41, -2019.78, -830.20, 0.09, -0.02, 0.00 } }, + { { 0, 0, 1, 4 }, 0.09092, { -0.07, 8.14, 1.73, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, 6 }, -0.00019, { 0.00, -0.02, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -4 }, 0.00068, { 0.07, 0.06, 0.03, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -2 }, -1.37259, { -7.58, -62.49, -50.12, -0.07, 0.00, 0.00 } }, + { { 0, 0, 2, 0 }, 769.02326, { -257.51, -47.39, 28008.99, -6.83, -0.56, 0.00 } }, + { { 0, 0, 2, 2 }, -3.99767, { 2.40, -178.94, -146.18, 0.05, 0.00, 0.00 } }, + { { 0, 0, 2, 4 }, 0.01297, { -0.01, 1.16, 0.48, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, 6 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -4 }, 0.00009, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -2 }, -0.05684, { 0.38, -2.65, -3.13, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, 0 }, 36.12364, { -28.42, -5.10, 1972.74, -0.93, -0.08, 0.00 } }, + { { 0, 0, 3, 2 }, -0.32866, { 0.32, -14.70, -17.99, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, 4 }, 0.00153, { 0.00, 0.14, 0.08, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, -2 }, -0.00354, { 0.04, -0.17, -0.26, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, 0 }, 1.93367, { -2.65, -0.44, 140.75, -0.10, 0.00, 0.00 } }, + { { 0, 0, 4, 2 }, -0.02602, { 0.04, -1.16, -1.90, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, 4 }, 0.00016, { 0.00, 0.01, 0.01, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, -2 }, -0.00023, { 0.00, -0.01, -0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 0 }, 0.11100, { -0.23, -0.04, 10.10, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 2 }, -0.00201, { 0.00, -0.09, -0.18, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 4 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, -2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, 0 }, 0.00665, { -0.02, 0.00, 0.73, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, 2 }, -0.00015, { 0.00, 0.00, -0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 7, 0 }, 0.00041, { 0.00, 0.00, 0.05, 0.00, 0.00, 0.00 } }, + { { 0, 0, 7, 2 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 8, 0 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -7, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -6, 0 }, -0.00024, { 0.00, 0.00, -0.03, -0.01, 0.00, 0.00 } }, + { { 0, 1, -5, -2 }, 0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -5, 0 }, -0.00332, { -0.07, 0.00, -0.30, -0.20, 0.00, 0.00 } }, + { { 0, 1, -4, -2 }, 0.00064, { 0.01, 0.03, 0.05, 0.04, 0.00, 0.00 } }, + { { 0, 1, -4, 0 }, -0.04702, { -1.04, 0.03, -3.42, -2.82, 0.00, 0.00 } }, + { { 0, 1, -4, 2 }, 0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -3, -4 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -3, -2 }, 0.00623, { 0.14, 0.28, 0.34, 0.37, 0.00, 0.00 } }, + { { 0, 1, -3, 0 }, -0.66940, { -15.55, 0.38, -36.53, -40.10, -0.02, 0.00 } }, + { { 0, 1, -3, 2 }, 0.00106, { 0.02, 0.05, 0.06, 0.07, 0.00, 0.00 } }, + { { 0, 1, -2, -4 }, -0.00017, { 0.00, -0.02, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 1, -2, -2 }, 0.05165, { 1.17, 2.29, 1.89, 3.09, 0.00, 0.00 } }, + { { 0, 1, -2, 0 }, -9.67938, { -235.29, 4.90, -352.52, -579.94, -0.15, 0.00 } }, + { { 0, 1, -2, 2 }, 0.02429, { 0.74, 1.09, 0.89, 1.46, 0.00, 0.00 } }, + { { 0, 1, -2, 4 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -1, -4 }, -0.00063, { -0.01, -0.06, -0.01, -0.04, 0.00, 0.00 } }, + { { 0, 1, -1, -2 }, 0.30157, { 6.60, 13.34, 5.61, 18.07, 0.00, 0.00 } }, + { { 0, 1, -1, 0 }, -147.32654, { -3778.62, 68.68, -2688.53, -8829.17, -0.76, 0.00 } }, + { { 0, 1, -1, 2 }, -0.08049, { 0.25, -3.63, -1.39, -4.82, -0.01, 0.00 } }, + { { 0, 1, -1, 4 }, 0.00013, { 0.00, 0.01, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 0, -4 }, -0.00023, { 0.01, -0.02, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 1, 0, -2 }, 0.07501, { -6.72, 3.04, 0.85, 4.46, 0.00, 0.00 } }, + { { 0, 1, 0, 0 }, -666.44186, { -5206.84, 258.79, -555.98, -39887.79, 1.73, 0.00 } }, + { { 0, 1, 0, 2 }, 0.41342, { 1.50, 18.15, 1.19, 24.72, 0.01, 0.00 } }, + { { 0, 1, 0, 4 }, -0.00083, { 0.00, -0.07, 0.00, -0.05, 0.00, 0.00 } }, + { { 0, 1, 1, -4 }, 0.00011, { 0.00, 0.01, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 1, -2 }, -0.08282, { 1.73, -3.73, -1.50, -4.95, 0.00, 0.00 } }, + { { 0, 1, 1, 0 }, -109.38419, { -2193.78, 51.64, -2018.13, -6556.10, 0.54, 0.00 } }, + { { 0, 1, 1, 2 }, 0.26338, { 4.53, 11.65, 5.03, 15.78, 0.00, 0.00 } }, + { { 0, 1, 1, 4 }, -0.00062, { 0.00, -0.06, -0.01, -0.04, 0.00, 0.00 } }, + { { 0, 1, 2, -4 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 2, -2 }, 0.02677, { 1.10, 1.20, 0.97, 1.60, 0.00, 0.00 } }, + { { 0, 1, 2, 0 }, -7.63041, { -156.07, 4.09, -279.89, -457.41, 0.12, 0.00 } }, + { { 0, 1, 2, 2 }, 0.04338, { 0.81, 1.92, 1.61, 2.60, 0.00, 0.00 } }, + { { 0, 1, 2, 4 }, -0.00015, { 0.00, -0.01, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 3, -2 }, 0.00166, { 0.06, 0.08, 0.09, 0.10, 0.00, 0.00 } }, + { { 0, 1, 3, 0 }, -0.54594, { -11.18, 0.34, -29.97, -32.73, 0.01, 0.00 } }, + { { 0, 1, 3, 2 }, 0.00526, { 0.10, 0.23, 0.29, 0.32, 0.00, 0.00 } }, + { { 0, 1, 3, 4 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 4, -2 }, 0.00014, { 0.00, 0.00, 0.01, 0.00, 0.00, 0.00 } }, + { { 0, 1, 4, 0 }, -0.03947, { -0.80, 0.03, -2.89, -2.37, 0.00, 0.00 } }, + { { 0, 1, 4, 2 }, 0.00055, { 0.01, 0.02, 0.04, 0.03, 0.00, 0.00 } }, + { { 0, 1, 5, -2 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 5, 0 }, -0.00287, { -0.06, 0.00, -0.26, -0.17, 0.00, 0.00 } }, + { { 0, 1, 5, 2 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 6, 0 }, -0.00021, { 0.00, 0.00, -0.02, -0.01, 0.00, 0.00 } }, + { { 0, 1, 7, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -5, 0 }, -0.00009, { 0.00, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 2, -4, -2 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -4, 0 }, -0.00119, { -0.04, 0.00, -0.09, -0.14, 0.00, 0.00 } }, + { { 0, 2, -3, -2 }, 0.00014, { 0.00, 0.00, 0.00, 0.02, 0.00, 0.00 } }, + { { 0, 2, -3, 0 }, -0.01514, { -0.50, 0.01, -0.83, -1.81, 0.00, 0.00 } }, + { { 0, 2, -3, 2 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -2, -2 }, 0.00100, { 0.03, 0.04, 0.04, 0.12, 0.00, 0.00 } }, + { { 0, 2, -2, 0 }, -0.19311, { -6.23, 0.13, -7.04, -23.13, 0.00, 0.00 } }, + { { 0, 2, -2, 2 }, 0.00060, { 0.02, 0.03, 0.02, 0.07, 0.00, 0.00 } }, + { { 0, 2, -1, -2 }, 0.00473, { 0.12, 0.21, 0.09, 0.57, 0.00, 0.00 } }, + { { 0, 2, -1, 0 }, -2.56813, { -81.06, 1.44, -46.94, -307.62, 0.00, 0.00 } }, + { { 0, 2, -1, 2 }, 0.00013, { 0.05, 0.00, 0.00, 0.02, 0.00, 0.00 } }, + { { 0, 2, 0, -2 }, -0.00355, { -0.26, -0.16, 0.02, -0.42, 0.00, 0.00 } }, + { { 0, 2, 0, 0 }, -7.44804, { -12.64, 2.98, -9.32, -891.27, 0.03, 0.00 } }, + { { 0, 2, 0, 2 }, 0.00519, { -0.03, 0.23, 0.02, 0.62, 0.00, 0.00 } }, + { { 0, 2, 0, 4 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 1, -2 }, -0.00040, { 0.08, -0.02, 0.00, -0.05, 0.00, 0.00 } }, + { { 0, 2, 1, 0 }, -1.16177, { -19.75, 0.43, -21.52, -139.13, 0.00, 0.00 } }, + { { 0, 2, 1, 2 }, 0.00270, { 0.03, 0.12, 0.05, 0.32, 0.00, 0.00 } }, + { { 0, 2, 2, -2 }, 0.00040, { 0.02, 0.02, 0.02, 0.05, 0.00, 0.00 } }, + { { 0, 2, 2, 0 }, -0.06513, { -0.79, 0.02, -2.39, -7.80, 0.00, 0.00 } }, + { { 0, 2, 2, 2 }, 0.00035, { 0.00, 0.02, 0.01, 0.04, 0.00, 0.00 } }, + { { 0, 2, 3, -2 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 3, 0 }, -0.00341, { 0.00, 0.00, -0.19, -0.41, 0.00, 0.00 } }, + { { 0, 2, 3, 2 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 4, 0 }, -0.00015, { 0.00, 0.00, -0.01, -0.02, 0.00, 0.00 } }, + { { 0, 3, -4, 0 }, 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0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -3, 0 }, 0.00019, { 0.02, 0.00, 0.01, 0.02, 0.00, 0.00 } }, + { { 8, -2, -2, 0 }, 0.00025, { 0.03, 0.00, 0.01, 0.03, 0.00, 0.00 } }, + { { 8, -2, -1, 0 }, 0.00015, { 0.02, 0.00, 0.00, 0.02, 0.00, 0.00 } }, + { { 8, -2, 0, 0 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, 1, 0 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -5, 0 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -4, 0 }, 0.00058, { 0.04, 0.00, 0.04, 0.03, 0.00, 0.00 } }, + { { 8, -1, -3, 0 }, 0.00170, { 0.15, 0.00, 0.10, 0.10, 0.00, 0.00 } }, + { { 8, -1, -3, 2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -2, 0 }, 0.00196, { 0.19, 0.00, 0.09, 0.12, 0.00, 0.00 } }, + { { 8, -1, -2, 2 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -1, 0 }, 0.00112, { 0.12, 0.00, 0.04, 0.07, 0.00, 0.00 } }, + { { 8, -1, -1, 2 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 0, 0 }, 0.00037, { 0.04, 0.00, 0.02, 0.02, 0.00, 0.00 } }, + { { 8, -1, 1, 0 }, 0.00008, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 2, 0 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -5, 0 }, 0.00018, { 0.01, 0.00, 0.02, 0.00, 0.00, 0.00 } }, + { { 8, 0, -4, 0 }, 0.00324, { 0.25, 0.00, 0.24, 0.00, 0.00, 0.00 } }, + { { 8, 0, -4, 2 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, -2 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, 0 }, 0.00840, { 0.72, -0.01, 0.49, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, 2 }, -0.00011, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, -2 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, 0 }, 0.00866, { 0.83, -0.02, 0.40, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, 2 }, -0.00011, { -0.01, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, -2 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, 0 }, 0.00455, { 0.47, -0.01, 0.18, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, 2 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, -2 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, 0 }, 0.00139, { 0.15, 0.00, 0.06, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, 2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 1, -2 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 1, 0 }, 0.00029, { 0.03, 0.00, 0.02, 0.00, 0.00, 0.00 } }, + { { 8, 0, 2, 0 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -4, 0 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -3, 0 }, -0.00024, { -0.01, 0.00, -0.01, -0.01, 0.00, 0.00 } }, + { { 8, 1, -2, 0 }, -0.00029, { -0.02, 0.00, -0.01, -0.02, 0.00, 0.00 } }, + { { 8, 1, -1, 0 }, -0.00017, { -0.02, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 8, 1, 0, 0 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, 1, 0 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 2, -3, 0 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 9, 0, -4, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 9, 0, -3, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -4, 0 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -3, 0 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -2, 0 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -1, 0 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -5, 0 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -4, 0 }, 0.00012, { 0.01, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -3, 0 }, 0.00017, { 0.02, 0.00, 0.01, 0.00, 0.00, 0.00 } }, + { { 10, 0, -2, 0 }, 0.00013, { 0.02, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -1, 0 }, 0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, 0, 0 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } } +} }; + +constexpr array g_ELP2 +{ { + { { 0, 0, 0, 1 }, 18461.40000, { 0.00, 412529.61, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 0, 3 }, -6.29664, { 7.68, -422.65, -13.21, 0.02, -0.02, 0.00 } }, + { { 0, 0, 0, 5 }, 0.00592, { 0.00, 0.66, 0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -5 }, -0.00236, { 0.02, -0.26, -0.05, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -3 }, 2.79871, { -17.13, 188.68, 50.78, -0.11, 0.04, 0.00 } }, + { { 0, 0, 1, -1 }, 999.70079, { -563.82, 22508.54, 18298.82, -0.92, -0.21, 0.00 } }, + { { 0, 0, 1, 1 }, 1010.17430, { -93.16, 22571.83, 18386.36, -0.76, -0.17, 0.00 } }, + { { 0, 0, 1, 3 }, -1.01941, { 0.95, -68.42, -19.88, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, 5 }, 0.00156, { 0.00, 0.17, 0.03, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -5 }, -0.00044, { 0.00, -0.05, -0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -3 }, -0.13035, { -0.40, -8.78, -4.77, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -1 }, 31.75985, { -167.64, 723.95, 1159.97, -1.09, 0.22, 0.00 } }, + { { 0, 0, 2, 1 }, 61.91229, { -23.73, 1382.40, 2253.18, -0.62, -0.06, 0.00 } }, + { { 0, 0, 2, 3 }, -0.11787, { 0.11, -7.91, -4.41, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, 5 }, 0.00026, { 0.00, 0.03, 0.01, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -5 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -3 }, -0.00146, { 0.04, -0.10, -0.08, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -1 }, 1.58131, { -10.25, 36.06, 86.53, -0.08, 0.00, 0.00 } }, + { { 0, 0, 3, 1 }, 3.98407, { -3.30, 88.86, 217.43, -0.11, -0.01, 0.00 } }, + { { 0, 0, 3, 3 }, -0.01181, { 0.01, -0.79, -0.65, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, 5 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, -3 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, -1 }, 0.09157, { -0.70, 2.09, 6.68, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, 1 }, 0.26325, { -0.37, 5.86, 19.15, -0.01, 0.00, 0.00 } }, + { { 0, 0, 4, 3 }, -0.00109, { 0.00, -0.07, -0.08, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, -1 }, 0.00566, { -0.05, 0.13, 0.51, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 1 }, 0.01768, { -0.04, 0.39, 1.61, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 3 }, -0.00010, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, -1 }, 0.00036, { 0.00, 0.00, 0.04, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, 1 }, 0.00120, { 0.00, 0.03, 0.13, 0.00, 0.00, 0.00 } }, + { { 0, 0, 7, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 7, 1 }, 0.00008, { 0.00, 0.00, 0.01, 0.00, 0.00, 0.00 } }, + { { 0, 1, -6, -1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -6, 1 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -5, -1 }, -0.00053, { -0.01, -0.01, -0.05, -0.03, 0.00, 0.00 } }, + { { 0, 1, -5, 1 }, -0.00014, { 0.00, 0.00, -0.01, 0.00, 0.00, 0.00 } }, + { { 0, 1, -4, -3 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -4, -1 }, -0.00646, { -0.14, -0.14, -0.47, -0.39, 0.00, 0.00 } }, + { { 0, 1, -4, 1 }, -0.00186, { -0.02, -0.04, -0.14, -0.11, 0.00, 0.00 } }, + { { 0, 1, -3, -3 }, 0.00023, { 0.00, 0.01, 0.01, 0.01, 0.00, 0.00 } }, + { { 0, 1, -3, -1 }, -0.07479, { -1.69, -1.63, -4.08, -4.48, 0.00, 0.00 } }, + { { 0, 1, -3, 1 }, -0.02365, { -0.35, -0.53, -1.29, -1.42, 0.00, 0.00 } }, + { { 0, 1, -3, 3 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -2, -3 }, 0.00154, { 0.03, 0.10, 0.06, 0.09, 0.00, 0.00 } }, + { { 0, 1, -2, -1 }, -0.79322, { -18.59, -17.32, -28.86, -47.52, -0.01, 0.00 } }, + { { 0, 1, -2, 1 }, -0.30129, { -4.79, -6.71, -11.01, -18.04, -0.01, 0.00 } }, + { { 0, 1, -2, 3 }, 0.00191, { 0.06, 0.13, 0.07, 0.12, 0.00, 0.00 } }, + { { 0, 1, -1, -5 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -1, -3 }, 0.00679, { 0.14, 0.45, 0.14, 0.41, 0.00, 0.00 } }, + { { 0, 1, -1, -1 }, -6.73173, { -159.36, -146.94, -122.89, -403.36, -0.03, 0.00 } }, + { { 0, 1, -1, 1 }, -5.63260, { -148.81, -123.96, -102.80, -337.62, -0.04, 0.00 } }, + { { 0, 1, -1, 3 }, -0.00911, { -0.20, -0.61, -0.15, -0.55, 0.00, 0.00 } }, + { { 0, 1, 0, -3 }, 0.00010, { -0.17, 0.00, 0.06, 0.00, 0.00, 0.00 } }, + { { 0, 1, 0, -1 }, -4.83983, { 70.86, -100.97, -8.74, -289.05, 0.02, 0.00 } }, + { { 0, 1, 0, 1 }, -6.46036, { 28.14, -136.25, -20.21, -386.09, 0.29, 0.00 } }, + { { 0, 1, 0, 3 }, 0.01157, { 0.06, 0.77, 0.04, 0.69, 0.00, 0.00 } }, + { { 0, 1, 0, 5 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 1, -3 }, -0.00703, { -0.04, -0.47, -0.13, -0.42, 0.00, 0.00 } }, + { { 0, 1, 1, -1 }, -5.07614, { -113.16, -112.23, -93.12, -304.28, 0.00, 0.00 } }, + { { 0, 1, 1, 1 }, -5.31151, { -99.03, -115.96, -99.19, -318.30, 0.06, 0.00 } }, + { { 0, 1, 1, 3 }, 0.00668, { 0.10, 0.45, 0.13, 0.40, 0.00, 0.00 } }, + { { 0, 1, 1, 5 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 2, -3 }, 0.00141, { 0.04, 0.09, 0.05, 0.08, 0.00, 0.00 } }, + { { 0, 1, 2, -1 }, -0.31292, { -4.92, -6.96, -11.47, -18.75, 0.00, 0.00 } }, + { { 0, 1, 2, 1 }, -0.63884, { -12.56, -13.95, -23.51, -38.29, 0.01, 0.00 } }, + { { 0, 1, 2, 3 }, 0.00135, { 0.02, 0.09, 0.05, 0.08, 0.00, 0.00 } }, + { { 0, 1, 3, -3 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 3, -1 }, -0.02419, { -0.36, -0.54, -1.33, -1.45, 0.00, 0.00 } }, + { { 0, 1, 3, 1 }, -0.06176, { -1.23, -1.35, -3.40, -3.70, 0.00, 0.00 } }, + { { 0, 1, 3, 3 }, 0.00020, { 0.00, 0.01, 0.01, 0.01, 0.00, 0.00 } }, + { { 0, 1, 4, -1 }, -0.00191, { -0.03, -0.04, -0.14, -0.11, 0.00, 0.00 } }, + { { 0, 1, 4, 1 }, -0.00548, { -0.11, -0.12, -0.40, -0.33, 0.00, 0.00 } }, + { { 0, 1, 4, 3 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 5, -1 }, -0.00015, { 0.00, 0.00, -0.01, 0.00, 0.00, 0.00 } }, + { { 0, 1, 5, 1 }, -0.00046, { 0.00, -0.01, -0.04, -0.03, 0.00, 0.00 } }, + { { 0, 1, 6, -1 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 6, 1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -5, -1 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -4, -1 }, -0.00016, { 0.00, 0.00, -0.01, -0.02, 0.00, 0.00 } }, + { { 0, 2, -4, 1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -3, -1 }, -0.00169, { -0.05, -0.04, -0.09, -0.20, 0.00, 0.00 } }, + { { 0, 2, -3, 1 }, -0.00049, { -0.01, -0.01, -0.03, -0.06, 0.00, 0.00 } }, + { { 0, 2, -2, -3 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -2, -1 }, -0.01571, { -0.49, -0.34, -0.57, -1.88, 0.00, 0.00 } }, + { { 0, 2, -2, 1 }, -0.00536, { -0.12, -0.12, -0.20, -0.64, 0.00, 0.00 } }, + { { 0, 2, -2, 3 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -1, -3 }, 0.00010, { 0.00, 0.00, 0.00, 0.01, 0.00, 0.00 } }, + { { 0, 2, -1, -1 }, -0.11335, { -3.25, -2.46, -2.07, -13.58, 0.00, 0.00 } }, + { { 0, 2, -1, 1 }, -0.09511, { -3.17, -2.08, -1.73, -11.39, 0.00, 0.00 } }, + { { 0, 2, -1, 3 }, -0.00009, { 0.00, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 2, 0, -3 }, -0.00014, { 0.00, 0.00, 0.00, -0.02, 0.00, 0.00 } }, + { { 0, 2, 0, -1 }, -0.01801, { 3.13, -0.33, -0.14, -2.14, 0.00, 0.00 } }, + { { 0, 2, 0, 1 }, -0.05729, { 2.09, -1.19, -0.39, -6.84, 0.00, 0.00 } }, + { { 0, 2, 0, 3 }, 0.00016, { 0.00, 0.01, 0.00, 0.02, 0.00, 0.00 } }, + { { 0, 2, 1, -3 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 1, -1 }, -0.06187, { -1.29, -1.37, -1.13, -7.41, 0.00, 0.00 } }, + { { 0, 2, 1, 1 }, -0.05504, { -0.81, -1.21, -1.04, -6.59, 0.00, 0.00 } }, + { { 0, 2, 1, 3 }, 0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 2, -3 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 2, -1 }, -0.00284, { -0.02, -0.06, -0.10, -0.34, 0.00, 0.00 } }, + { { 0, 2, 2, 1 }, -0.00528, { -0.06, -0.12, -0.19, -0.63, 0.00, 0.00 } }, + { { 0, 2, 2, 3 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, 3, -1 }, -0.00016, { 0.00, 0.00, 0.00, -0.02, 0.00, 0.00 } }, + { { 0, 2, 3, 1 }, -0.00037, { 0.00, 0.00, -0.02, -0.04, 0.00, 0.00 } }, + { { 0, 2, 4, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 3, -3, -1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 3, -3, 1 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 3, -2, -1 }, -0.00033, { -0.01, 0.00, -0.01, -0.06, 0.00, 0.00 } }, + { { 0, 3, -2, 1 }, -0.00011, { 0.00, 0.00, 0.00, -0.02, 0.00, 0.00 } }, + { { 0, 3, -1, -1 }, -0.00216, { -0.07, -0.05, -0.04, -0.39, 0.00, 0.00 } }, + { { 0, 3, -1, 1 }, -0.00190, { -0.07, -0.04, -0.03, -0.34, 0.00, 0.00 } }, + { { 0, 3, 0, -1 }, 0.00066, { 0.11, 0.02, 0.00, 0.12, 0.00, 0.00 } }, + { { 0, 3, 0, 1 }, -0.00031, { 0.08, 0.00, 0.00, -0.06, 0.00, 0.00 } }, + { { 0, 3, 1, -1 }, -0.00109, { -0.02, -0.02, -0.02, -0.19, 0.00, 0.00 } }, + { { 0, 3, 1, 1 }, -0.00083, { -0.01, -0.02, -0.02, -0.15, 0.00, 0.00 } }, + { { 0, 3, 2, -1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 3, 2, 1 }, -0.00008, { 0.00, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 4, -1, -1 }, -0.00004, { 0.00, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 0, 4, -1, 1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 4, 0, -1 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 4, 0, 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0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 1, -3, 1 }, -0.00054, { 0.00, -0.01, -0.03, -0.03, 0.00, 0.00 } }, + { { 6, 1, -2, -1 }, -0.00256, { -0.08, -0.06, -0.09, -0.15, 0.00, 0.00 } }, + { { 6, 1, -2, 1 }, -0.00137, { -0.05, -0.03, -0.06, -0.08, 0.00, 0.00 } }, + { { 6, 1, -1, -3 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 1, -1, -1 }, -0.00350, { -0.19, -0.08, -0.08, -0.21, 0.00, 0.00 } }, + { { 6, 1, -1, 1 }, -0.00116, { -0.07, -0.02, -0.04, -0.07, 0.00, 0.00 } }, + { { 6, 1, 0, -3 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 1, 0, -1 }, -0.00153, { -0.10, -0.03, -0.03, -0.09, 0.00, 0.00 } }, + { { 6, 1, 0, 1 }, -0.00047, { -0.04, 0.00, -0.02, -0.03, 0.00, 0.00 } }, + { { 6, 1, 1, -1 }, -0.00031, { -0.02, 0.00, 0.00, -0.02, 0.00, 0.00 } }, + { { 6, 1, 1, 1 }, -0.00011, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 1, 2, -1 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 1, 2, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 2, -3, -1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 2, -3, 1 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 2, -2, -1 }, -0.00009, { 0.00, 0.00, 0.00, -0.01, 0.00, 0.00 } }, + { { 6, 2, -2, 1 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 2, -1, -1 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 6, 2, -1, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -3, -1 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -3, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -2, -1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, -0.02, 0.00 } }, + { { 7, -1, -2, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -1, -1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -4, 1 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -3, -1 }, -0.00009, { 0.00, 0.00, 0.00, 0.00, -0.03, 0.00 } }, + { { 7, 0, -3, 1 }, -0.00011, { 0.00, 0.00, 0.00, 0.00, -0.04, 0.00 } }, + { { 7, 0, -2, -1 }, -0.00024, { -0.02, 0.00, 0.00, 0.00, -0.09, 0.00 } }, + { { 7, 0, -2, 1 }, -0.00010, { 0.00, 0.00, 0.00, 0.00, -0.04, 0.00 } }, + { { 7, 0, -1, -3 }, -0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -1, -1 }, -0.00013, { -0.01, 0.00, 0.00, 0.00, -0.05, 0.00 } }, + { { 7, 0, -1, 1 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, -0.01, 0.00 } }, + { { 7, 0, 0, -1 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, -0.01, 0.00 } }, + { { 7, 1, -2, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 1, -2, 1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 1, -1, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 1, -1, 1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -3, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -3, 1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -2, -1 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -2, 1 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -1, -1 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -1, 1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, 0, -1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -4, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -4, 1 }, 0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -3, -1 }, 0.00019, { 0.01, 0.00, 0.01, 0.01, 0.00, 0.00 } }, + { { 8, -1, -3, 1 }, 0.00022, { 0.02, 0.00, 0.01, 0.01, 0.00, 0.00 } }, + { { 8, -1, -2, -1 }, 0.00038, { 0.03, 0.00, 0.02, 0.02, 0.00, 0.00 } }, + { { 8, -1, -2, 1 }, 0.00025, { 0.02, 0.00, 0.01, 0.01, 0.00, 0.00 } }, + { { 8, -1, -1, -1 }, 0.00029, { 0.03, 0.00, 0.00, 0.02, 0.00, 0.00 } }, + { { 8, -1, -1, 1 }, 0.00015, { 0.02, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 0, -1 }, 0.00011, { 0.01, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 0, 1 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 1, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 1, 1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -5, 1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -4, -1 }, 0.00009, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -4, 1 }, 0.00042, { 0.03, 0.00, 0.03, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, -1 }, 0.00107, { 0.08, 0.02, 0.06, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, 1 }, 0.00108, { 0.09, 0.02, 0.06, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, -3 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, -1 }, 0.00189, { 0.15, 0.04, 0.08, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, 1 }, 0.00111, { 0.11, 0.02, 0.05, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, -3 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, -1 }, 0.00130, { 0.12, 0.03, 0.04, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, 1 }, 0.00060, { 0.06, 0.01, 0.03, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, -1 }, 0.00045, { 0.04, 0.00, 0.01, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, 1 }, 0.00020, { 0.02, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 1, -1 }, 0.00009, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 1, 1 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 2, -1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -3, -1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -3, 1 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -2, -1 }, -0.00008, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -2, 1 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -1, -1 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -1, 1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, 0, -1 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -4, -1 }, 0.00001, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -4, 1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -3, -1 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -3, 1 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -2, -1 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -2, 1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -1, -1 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } } +} }; + +constexpr array g_ELP3 +{ { + { { 0, 0, 0, 0 }, 385000.52719, { -7992.63, -11.06, 21578.08, -4.53, 11.39, -0.06 } }, + { { 0, 0, 0, 2 }, -3.14837, { -204.48, -138.94, 159.64, -0.39, 0.12, 0.00 } }, + { { 0, 0, 0, 4 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -4 }, 0.00038, { 0.03, 0.03, -0.03, 0.00, 0.00, 0.00 } }, + { { 0, 0, 1, -2 }, 79.66183, { -359.45, 3583.79, 1454.02, -2.37, 0.85, 0.00 } }, + { { 0, 0, 1, 0 }, -20905.32206, { 6888.23, -35.83, -380331.74, 22.31, 1.77, 0.00 } }, + { { 0, 0, 1, 2 }, -0.10326, { -9.14, -4.53, 8.08, 0.00, 0.02, 0.00 } }, + { { 0, 0, 2, -4 }, -0.00837, { 0.07, -0.75, -0.31, 0.00, 0.00, 0.00 } }, + { { 0, 0, 2, -2 }, -4.42124, { 18.29, -198.91, -161.90, 0.14, -0.04, 0.00 } }, + { { 0, 0, 2, 0 }, -569.92332, { 374.44, -1.99, -20737.33, 5.79, 0.44, 0.00 } }, + { { 0, 0, 2, 2 }, -0.00102, { -0.37, -0.04, 0.62, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -4 }, 0.00033, { 0.00, 0.03, 0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, -2 }, -0.00111, { 0.00, 0.00, -0.05, 0.00, 0.00, 0.00 } }, + { { 0, 0, 3, 0 }, -23.21032, { 26.49, -0.14, -1266.64, 0.63, 0.05, 0.00 } }, + { { 0, 0, 3, 2 }, 0.00026, { 0.00, 0.00, 0.06, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, -4 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, -2 }, 0.00027, { 0.00, 0.00, 0.02, 0.00, 0.00, 0.00 } }, + { { 0, 0, 4, 0 }, -1.11693, { 1.98, 0.00, -81.26, 0.06, 0.00, 0.00 } }, + { { 0, 0, 4, 2 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, -2 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 0, 5, 0 }, -0.05888, { 0.15, 0.00, -5.35, 0.00, 0.00, 0.00 } }, + { { 0, 0, 6, 0 }, -0.00329, { 0.00, 0.00, -0.36, 0.00, 0.00, 0.00 } }, + { { 0, 0, 7, 0 }, -0.00019, { 0.00, 0.00, -0.02, 0.00, 0.00, 0.00 } }, + { { 0, 1, -6, 0 }, -0.00011, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -5, 0 }, -0.00174, { -0.03, 0.00, -0.16, -0.10, 0.00, 0.00 } }, + { { 0, 1, -4, 0 }, -0.02674, { -0.56, 0.00, -1.94, -1.60, 0.00, 0.00 } }, + { { 0, 1, -3, 0 }, -0.42242, { -9.35, 0.20, -23.04, -25.30, 0.00, 0.00 } }, + { { 0, 1, -3, 2 }, 0.00015, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -2, -2 }, -0.00019, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -2, 0 }, -7.00293, { -161.63, 3.29, -254.78, -419.55, -0.12, 0.00 } }, + { { 0, 1, -2, 2 }, -0.05020, { -1.17, -2.24, -1.83, -3.01, 0.00, 0.00 } }, + { { 0, 1, -2, 4 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, -1, -2 }, -0.00769, { -0.15, -0.34, -0.04, -0.46, 0.00, 0.00 } }, + { { 0, 1, -1, 0 }, -129.62476, { -3122.77, 61.80, -2362.46, -7767.84, -0.74, 0.00 } }, + { { 0, 1, -1, 2 }, 0.33465, { 7.26, 14.91, 5.99, 20.06, 0.00, 0.00 } }, + { { 0, 1, -1, 4 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 0, -2 }, -0.18568, { -4.48, -8.29, 0.54, -11.12, 0.00, 0.00 } }, + { { 0, 1, 0, 0 }, 48.89010, { 1082.40, -25.99, 156.78, 2926.50, -3.76, 0.02 } }, + { { 0, 1, 0, 2 }, -0.15803, { -3.35, -7.06, -0.08, -9.46, -0.03, 0.00 } }, + { { 0, 1, 1, -4 }, 0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 1, -2 }, -0.24811, { -2.72, -11.08, -4.50, -14.87, 0.00, 0.00 } }, + { { 0, 1, 1, 0 }, 104.75896, { 2165.07, -47.62, 1929.10, 6279.07, -0.60, 0.00 } }, + { { 0, 1, 1, 2 }, -0.00682, { -0.05, -0.31, -0.17, -0.41, 0.00, 0.00 } }, + { { 0, 1, 2, -4 }, 0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 2, -2 }, 0.03265, { 0.36, 1.45, 1.20, 1.96, 0.00, 0.00 } }, + { { 0, 1, 2, 0 }, 5.75105, { 119.47, -2.62, 210.76, 344.76, -0.09, 0.00 } }, + { { 0, 1, 2, 2 }, -0.00030, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 3, -2 }, -0.00080, { -0.04, -0.04, -0.04, -0.05, 0.00, 0.00 } }, + { { 0, 1, 3, 0 }, 0.35509, { 7.33, -0.16, 19.48, 21.29, 0.00, 0.00 } }, + { { 0, 1, 4, -2 }, -0.00006, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 1, 4, 0 }, 0.02304, { 0.47, 0.00, 1.68, 1.38, 0.00, 0.00 } }, + { { 0, 1, 5, 0 }, 0.00153, { 0.03, 0.00, 0.14, 0.09, 0.00, 0.00 } }, + { { 0, 1, 6, 0 }, 0.00010, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -5, 0 }, -0.00005, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 0, 2, -4, 0 }, -0.00066, { -0.02, 0.00, -0.05, -0.08, 0.00, 0.00 } }, + { { 0, 2, -3, 0 }, -0.00938, { -0.29, 0.00, -0.51, -1.12, 0.00, 0.00 } }, + { { 0, 2, -2, 0 }, -0.13618, { -4.10, 0.09, -4.96, -16.31, 0.00, 0.00 } }, + { { 0, 2, -2, 2 }, -0.00099, { -0.03, -0.04, -0.04, -0.12, 0.00, 0.00 } }, + { { 0, 2, -1, -2 }, -0.00031, { 0.00, 0.00, 0.00, -0.04, 0.00, 0.00 } }, + { { 0, 2, -1, 0 }, -2.11728, { -59.78, 1.22, -38.70, -253.61, 0.00, 0.00 } }, + { { 0, 2, -1, 2 }, 0.00450, { 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+ { { 6, 2, -3, 0 }, 0.00034, { 0.03, 0.00, 0.02, 0.04, 0.00, 0.00 } }, + { { 6, 2, -2, 0 }, 0.00044, { 0.04, 0.00, 0.00, 0.05, 0.00, 0.00 } }, + { { 6, 2, -1, 0 }, 0.00014, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -4, 0 }, 0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, -1, -3, 0 }, 0.00011, { 0.00, 0.00, 0.00, 0.00, 0.04, 0.00 } }, + { { 7, -1, -2, 0 }, 0.00006, { 0.00, 0.00, 0.00, 0.00, 0.02, 0.00 } }, + { { 7, -1, -1, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -4, 0 }, 0.00015, { 0.00, 0.00, 0.00, 0.00, 0.06, 0.00 } }, + { { 7, 0, -3, 0 }, 0.00066, { 0.05, 0.00, 0.04, 0.00, 0.26, 0.00 } }, + { { 7, 0, -2, -2 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -2, 0 }, 0.00032, { 0.04, 0.00, 0.00, 0.00, 0.13, 0.00 } }, + { { 7, 0, -1, -2 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 0, -1, 0 }, -0.00008, { 0.00, 0.00, 0.00, 0.00, -0.03, 0.00 } }, + { { 7, 0, 0, 0 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, -0.03, 0.00 } }, + { { 7, 1, -3, 0 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 7, 1, -2, 0 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, -0.03, 0.00 } }, + { { 7, 1, -1, 0 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -4, 0 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -3, 0 }, -0.00013, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, -2, 0 }, -0.00016, { 0.00, 0.00, 0.00, -0.02, 0.00, 0.00 } }, + { { 8, -2, -1, 0 }, -0.00010, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -2, 0, 0 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -4, 0 }, -0.00033, { -0.03, 0.00, -0.02, -0.02, 0.00, 0.00 } }, + { { 8, -1, -3, 0 }, -0.00109, { -0.10, 0.00, -0.06, -0.07, 0.00, 0.00 } }, + { { 8, -1, -2, -2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -2, 0 }, -0.00126, { -0.12, 0.00, -0.06, -0.08, 0.00, 0.00 } }, + { { 8, -1, -1, -2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, -1, 0 }, -0.00070, { -0.08, 0.00, -0.03, -0.04, 0.00, 0.00 } }, + { { 8, -1, 0, 0 }, -0.00022, { -0.02, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, -1, 1, 0 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -5, 0 }, -0.00009, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -4, 0 }, -0.00184, { -0.14, 0.00, -0.13, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, -2 }, -0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -3, 0 }, -0.00539, { -0.46, 0.00, -0.31, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, -2 }, -0.00012, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -2, 0 }, -0.00559, { -0.53, 0.00, -0.25, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, -2 }, -0.00009, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, -1, 0 }, -0.00285, { -0.29, 0.00, -0.11, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, -2 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 0, 0 }, -0.00083, { -0.09, 0.00, -0.03, 0.00, 0.00, 0.00 } }, + { { 8, 0, 1, 0 }, -0.00016, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 0, 2, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -4, 0 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -3, 0 }, 0.00015, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -2, 0 }, 0.00019, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, -1, 0 }, 0.00011, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 8, 1, 0, 0 }, 0.00004, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -3, 0 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, -1, -2, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -5, 0 }, -0.00002, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -4, 0 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -3, 0 }, -0.00010, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -2, 0 }, -0.00007, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } }, + { { 10, 0, -1, 0 }, -0.00003, { 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } } +} }; + +constexpr array g_ELP4 +{ { + { 0, { 0, 0, 0, 1 }, 270.00000, 0.00003, 0.075 }, + { 0, { 0, 0, 0, 2 }, 0.00000, 0.00037, 0.037 }, + { 0, { 0, 0, 1, -2 }, 180.00000, 0.00480, 0.074 }, + { 0, { 0, 0, 1, -1 }, 90.00000, 0.00001, 5.997 }, + { 0, { 0, 0, 2, -2 }, 0.00000, 0.00085, 2.998 }, + { 0, { 0, 0, 2, 0 }, 180.00000, 0.00025, 0.038 }, + { 0, { 0, 0, 3, -2 }, 0.00000, 0.00003, 0.077 }, + { 0, { 0, 0, 3, 0 }, 180.00000, 0.00002, 0.025 }, + { 0, { 0, 0, 4, 0 }, 180.00000, 0.00001, 0.019 }, + { 0, { 0, 1, -2, 0 }, 180.00000, 0.00003, 0.039 }, + { 0, { 0, 1, -1, 0 }, 180.00000, 0.00048, 0.082 }, + { 0, { 0, 1, -1, 2 }, 180.00000, 0.00001, 0.069 }, + { 0, { 0, 1, 0, 0 }, 180.00000, 0.00047, 1.000 }, + { 0, { 0, 1, 1, -2 }, 180.00000, 0.00005, 0.079 }, + { 0, { 0, 1, 1, 0 }, 180.00000, 0.00019, 0.070 }, + { 0, { 0, 1, 2, 0 }, 180.00000, 0.00001, 0.036 }, + { 0, { 0, 2, -1, 0 }, 180.00000, 0.00003, 0.089 }, + { 0, { 1, -1, -1, 0 }, 180.00000, 0.00001, 0.530 }, + { 0, { 1, -1, 0, 0 }, 180.00000, 0.00015, 0.088 }, + { 0, { 1, -1, 1, 0 }, 180.00000, 0.00001, 0.041 }, + { 0, { 1, 0, -2, 0 }, 180.00000, 0.00001, 0.071 }, + { 0, { 1, 0, -1, 0 }, 180.00000, 0.00004, 1.127 }, + { 0, { 1, 0, 0, -2 }, 0.00000, 0.00001, 0.069 }, + { 0, { 1, 0, 0, 0 }, 180.00000, 0.00100, 0.081 }, + { 0, { 1, 0, 1, 0 }, 180.00000, 0.00006, 0.039 }, + { 0, { 1, 1, -1, 0 }, 0.00000, 0.00019, 8.850 }, + { 0, { 1, 1, 0, 0 }, 180.00000, 0.00070, 0.075 }, + { 0, { 1, 1, 1, 0 }, 180.00000, 0.00005, 0.038 }, + { 0, { 2, -1, -2, 0 }, 180.00000, 0.00002, 0.360 }, + { 0, { 2, -1, -1, 0 }, 0.00000, 0.00061, 0.095 }, + { 0, { 2, -1, 0, -2 }, 0.00000, 0.00002, 0.322 }, + { 0, { 2, -1, 0, 0 }, 0.00000, 0.00001, 0.042 }, + { 0, { 2, -1, 1, -2 }, 0.00000, 0.00004, 0.099 }, + { 0, { 2, 0, -3, 2 }, 180.00000, 0.00001, 0.085 }, + { 0, { 2, 0, -2, 0 }, 180.00000, 0.00077, 0.564 }, + { 0, { 2, 0, -2, 2 }, 0.00000, 0.00006, 0.040 }, + { 0, { 2, 0, -1, -2 }, 180.00000, 0.00005, 0.065 }, + { 0, { 2, 0, -1, 0 }, 0.00000, 0.02206, 0.087 }, + { 0, { 2, 0, 0, -2 }, 0.00000, 0.00064, 0.474 }, + { 0, { 2, 0, 0, 0 }, 0.00000, 0.00102, 0.040 }, + { 0, { 2, 0, 1, -2 }, 0.00000, 0.00089, 0.090 }, + { 0, { 2, 0, 1, 0 }, 0.00000, 0.00004, 0.026 }, + { 0, { 2, 0, 2, -2 }, 0.00000, 0.00007, 0.041 }, + { 0, { 2, 1, -2, 0 }, 0.00000, 0.00006, 1.292 }, + { 0, { 2, 1, -1, 0 }, 180.00000, 0.00006, 0.080 }, + { 0, { 2, 1, 0, -2 }, 180.00000, 0.00002, 0.903 }, + { 0, { 2, 1, 0, 0 }, 180.00000, 0.00001, 0.039 }, + { 0, { 2, 2, -1, 0 }, 0.00000, 0.00009, 0.074 }, + { 0, { 3, 0, -1, 0 }, 180.00000, 0.00001, 0.042 }, + { 0, { 4, -1, -2, 0 }, 0.00000, 0.00002, 0.046 }, + { 0, { 4, -1, -1, 0 }, 0.00000, 0.00002, 0.028 }, + { 0, { 4, 0, -2, 0 }, 0.00000, 0.00026, 0.044 }, + { 0, { 4, 0, -1, -2 }, 0.00000, 0.00002, 0.107 }, + { 0, { 4, 0, -1, 0 }, 0.00000, 0.00019, 0.028 }, + { 0, { 4, 0, 0, -2 }, 0.00000, 0.00002, 0.044 }, + { 0, { 4, 0, 0, 0 }, 0.00000, 0.00002, 0.020 }, + { 0, { 4, 0, 1, -2 }, 0.00000, 0.00001, 0.028 }, + { 1, { -6, 0, 0, -1 }, 0.00100, 0.00001, 0.013 }, + { 1, { -6, 0, 1, -1 }, 0.00100, 0.00003, 0.016 }, + { 1, { -6, 0, 2, -1 }, 0.00068, 0.00003, 0.021 }, + { 1, { -6, 0, 3, -1 }, 0.00036, 0.00001, 0.029 }, + { 1, { -4, -1, 0, -1 }, 180.00103, 0.00001, 0.020 }, + { 1, { -4, -1, 1, -1 }, 180.00081, 0.00002, 0.027 }, + { 1, { -4, -1, 1, 1 }, 180.00072, 0.00002, 0.096 }, + { 1, { -4, 0, -2, -1 }, 0.00099, 0.00002, 0.013 }, + { 1, { -4, 0, -2, 1 }, 180.00050, 0.00001, 0.020 }, + { 1, { -4, 0, -1, -1 }, 0.00109, 0.00014, 0.016 }, + { 1, { -4, 0, -1, 1 }, 180.00050, 0.00009, 0.028 }, + { 1, { -4, 0, 0, -1 }, 0.00100, 0.00075, 0.020 }, + { 1, { -4, 0, 0, 1 }, 180.00017, 0.00011, 0.044 }, + { 1, { -4, 0, 1, -3 }, 180.00093, 0.00002, 0.016 }, + { 1, { -4, 0, 1, -1 }, 0.00080, 0.00141, 0.028 }, + { 1, { -4, 0, 1, 1 }, 0.00091, 0.00022, 0.106 }, + { 1, { -4, 0, 2, -3 }, 180.00091, 0.00001, 0.020 }, + { 1, { -4, 0, 2, -1 }, 0.00029, 0.00065, 0.043 }, + { 1, { -4, 1, -1, -1 }, 0.00098, 0.00002, 0.016 }, + { 1, { -4, 1, 0, -1 }, 0.00099, 0.00010, 0.021 }, + { 1, { -4, 1, 1, -1 }, 0.00080, 0.00017, 0.028 }, + { 1, { -4, 1, 1, 1 }, 0.00082, 0.00002, 0.119 }, + { 1, { -4, 1, 2, -1 }, 0.00030, 0.00006, 0.045 }, + { 1, { -4, 2, 0, -1 }, 0.00094, 0.00001, 0.021 }, + { 1, { -4, 2, 1, -1 }, 0.00098, 0.00001, 0.029 }, + { 1, { -3, 0, 0, -1 }, 0.00082, 0.00004, 0.027 }, + { 1, { -3, 0, 0, 1 }, 180.00073, 0.00023, 0.097 }, + { 1, { -3, 0, 1, -1 }, 180.00068, 0.00006, 0.042 }, + { 1, { -3, 0, 1, 1 }, 180.00072, 0.00003, 0.340 }, + { 1, { -3, 1, 0, 1 }, 180.00072, 0.00002, 0.107 }, + { 1, { -2, -2, 1, -1 }, 180.00031, 0.00002, 0.074 }, + { 1, { -2, -2, 1, 1 }, 180.00029, 0.00001, 0.075 }, + { 1, { -2, -1, -2, -1 }, 180.00123, 0.00002, 0.019 }, + { 1, { -2, -1, -2, 1 }, 0.00056, 0.00001, 0.039 }, + { 1, { -2, -1, -1, -1 }, 180.00119, 0.00012, 0.026 }, + { 1, { -2, -1, -1, 1 }, 0.00065, 0.00009, 0.082 }, + { 1, { -2, -1, 0, -1 }, 180.00109, 0.00053, 0.039 }, + { 1, { -2, -1, 0, 1 }, 180.00076, 0.00123, 0.949 }, + { 1, { -2, -1, 1, -1 }, 180.00047, 0.00053, 0.080 }, + { 1, { -2, -1, 2, -1 }, 180.00148, 0.00006, 1.388 }, + { 1, { -2, 0, -3, -1 }, 0.00122, 0.00009, 0.015 }, + { 1, { -2, 0, -3, 1 }, 180.00044, 0.00005, 0.027 }, + { 1, { -2, 0, -2, -3 }, 180.00093, 0.00001, 0.013 }, + { 1, { -2, 0, -2, -1 }, 0.00119, 0.00097, 0.019 }, + { 1, { -2, 0, -2, 1 }, 180.00050, 0.00065, 0.041 }, + { 1, { -2, 0, -1, -3 }, 180.00101, 0.00008, 0.015 }, + { 1, { -2, 0, -1, -1 }, 0.00113, 0.00913, 0.026 }, + { 1, { -2, 0, -1, 1 }, 180.00049, 0.00887, 0.089 }, + { 1, { -2, 0, 0, -3 }, 180.00092, 0.00037, 0.019 }, + { 1, { -2, 0, 0, -1 }, 0.00100, 0.06569, 0.040 }, + { 1, { -2, 0, 0, 0 }, 90.00000, 0.00006, 0.088 }, + { 1, { -2, 0, 0, 1 }, 0.00076, 0.04746, 0.487 }, + { 1, { -2, 0, 0, 3 }, 180.00077, 0.00013, 0.035 }, + { 1, { -2, 0, 1, -3 }, 180.00073, 0.00044, 0.026 }, + { 1, { -2, 0, 1, -1 }, 0.00029, 0.04962, 0.087 }, + { 1, { -2, 0, 1, 1 }, 0.00045, 0.00026, 0.065 }, + { 1, { -2, 0, 1, 3 }, 180.00076, 0.00001, 0.024 }, + { 1, { -2, 0, 2, -3 }, 180.00043, 0.00001, 0.040 }, + { 1, { -2, 0, 2, -1 }, 180.00208, 0.00249, 0.581 }, + { 1, { -2, 0, 2, 1 }, 180.00070, 0.00048, 0.035 }, + { 1, { -2, 0, 3, -1 }, 180.00155, 0.00045, 0.067 }, + { 1, { -2, 0, 3, 1 }, 180.00073, 0.00008, 0.024 }, + { 1, { -2, 0, 4, -1 }, 180.00145, 0.00005, 0.035 }, + { 1, { -2, 1, -2, -1 }, 0.00118, 0.00008, 0.020 }, + { 1, { -2, 1, -2, 1 }, 180.00049, 0.00004, 0.043 }, + { 1, { -2, 1, -1, -1 }, 0.00111, 0.00072, 0.027 }, + { 1, { -2, 1, -1, 1 }, 180.00052, 0.00049, 0.098 }, + { 1, { -2, 1, 0, -3 }, 180.00091, 0.00003, 0.020 }, + { 1, { -2, 1, 0, -1 }, 0.00098, 0.00482, 0.042 }, + { 1, { -2, 1, 0, 1 }, 0.00075, 0.00187, 0.327 }, + { 1, { -2, 1, 1, -3 }, 180.00089, 0.00002, 0.027 }, + { 1, { -2, 1, 1, -1 }, 0.00031, 0.00225, 0.095 }, + { 1, { -2, 1, 1, 1 }, 180.00078, 0.00005, 0.061 }, + { 1, { -2, 1, 2, -1 }, 180.00225, 0.00009, 0.368 }, + { 1, { -2, 1, 2, 1 }, 180.00071, 0.00003, 0.034 }, + { 1, { -2, 1, 3, -1 }, 180.00164, 0.00001, 0.063 }, + { 1, { -2, 2, -1, -1 }, 0.00111, 0.00004, 0.028 }, + { 1, { -2, 2, -1, 1 }, 180.00054, 0.00002, 0.109 }, + { 1, { -2, 2, 0, -1 }, 0.00097, 0.00024, 0.044 }, + { 1, { -2, 2, 0, 1 }, 0.00072, 0.00006, 0.247 }, + { 1, { -2, 2, 1, -1 }, 0.00031, 0.00008, 0.105 }, + { 1, { -2, 3, 0, -1 }, 0.00094, 0.00001, 0.046 }, + { 1, { -1, -1, -1, -1 }, 0.00122, 0.00004, 0.037 }, + { 1, { -1, -1, 0, -1 }, 0.00107, 0.00019, 0.075 }, + { 1, { -1, -1, 0, 1 }, 0.00000, 0.00001, 0.075 }, + { 1, { -1, -1, 1, -1 }, 180.00149, 0.00001, 5.998 }, + { 1, { -1, 0, -2, -1 }, 180.00131, 0.00003, 0.026 }, + { 1, { -1, 0, -1, -1 }, 180.00131, 0.00023, 0.039 }, + { 1, { -1, 0, -1, 1 }, 180.00122, 0.00002, 0.857 }, + { 1, { -1, 0, 0, -3 }, 0.00093, 0.00001, 0.025 }, + { 1, { -1, 0, 0, -1 }, 180.00134, 0.00075, 0.081 }, + { 1, { -1, 0, 0, 1 }, 180.00067, 0.00056, 0.069 }, + { 1, { -1, 0, 1, -1 }, 0.00127, 0.00028, 1.200 }, + { 1, { -1, 0, 1, 1 }, 180.00072, 0.00002, 0.036 }, + { 1, { -1, 0, 2, -1 }, 0.00129, 0.00006, 0.071 }, + { 1, { -1, 1, 0, -1 }, 179.99990, 0.00004, 0.088 }, + { 1, { -1, 1, 0, 1 }, 180.00072, 0.00001, 0.065 }, + { 1, { 0, -2, -1, -1 }, 180.00138, 0.00002, 0.065 }, + { 1, { 0, -2, 0, -1 }, 0.00072, 0.00003, 0.487 }, + { 1, { 0, -2, 1, -1 }, 0.00116, 0.00007, 0.089 }, + { 1, { 0, -1, -3, -1 }, 180.00133, 0.00003, 0.024 }, + { 1, { 0, -1, -2, -1 }, 180.00133, 0.00029, 0.036 }, + { 1, { 0, -1, -2, 1 }, 0.00025, 0.00003, 1.389 }, + { 1, { 0, -1, -1, -3 }, 0.00090, 0.00001, 0.024 }, + { 1, { 0, -1, -1, -1 }, 180.00141, 0.00187, 0.070 }, + { 1, { 0, -1, -1, 1 }, 359.99928, 0.00008, 0.080 }, + { 1, { 0, -1, 0, -3 }, 0.00092, 0.00001, 0.036 }, + { 1, { 0, -1, 0, -1 }, 0.00067, 0.00282, 0.949 }, + { 1, { 0, -1, 0, 1 }, 0.00045, 0.00010, 0.039 }, + { 1, { 0, -1, 1, -1 }, 0.00118, 0.00387, 0.082 }, + { 1, { 0, -1, 1, 1 }, 0.00070, 0.00026, 0.026 }, + { 1, { 0, -1, 2, -1 }, 0.00122, 0.00047, 0.039 }, + { 1, { 0, -1, 2, 1 }, 0.00070, 0.00004, 0.019 }, + { 1, { 0, -1, 3, -1 }, 0.00122, 0.00005, 0.026 }, + { 1, { 0, 0, -5, -1 }, 0.00127, 0.00001, 0.015 }, + { 1, { 0, 0, -4, -1 }, 0.00129, 0.00016, 0.019 }, + { 1, { 0, 0, -3, -3 }, 180.00113, 0.00003, 0.015 }, + { 1, { 0, 0, -3, -1 }, 0.00129, 0.00228, 0.025 }, + { 1, { 0, 0, -3, 1 }, 180.00029, 0.00013, 0.077 }, + { 1, { 0, 0, -2, -3 }, 180.00109, 0.00032, 0.019 }, + { 1, { 0, 0, -2, -1 }, 0.00128, 0.03279, 0.038 }, + { 1, { 0, 0, -2, 1 }, 180.00024, 0.00387, 3.574 }, + { 1, { 0, 0, -1, -3 }, 180.00102, 0.00261, 0.025 }, + { 1, { 0, 0, -1, -1 }, 0.00127, 0.49141, 0.075 }, + { 1, { 0, 0, -1, 0 }, 90.00000, 0.00010, 8.847 }, + { 1, { 0, 0, -1, 1 }, 0.00051, 0.05036, 0.074 }, + { 1, { 0, 0, -1, 3 }, 180.00060, 0.00017, 0.025 }, + { 1, { 0, 0, 0, -5 }, 0.00086, 0.00003, 0.019 }, + { 1, { 0, 0, 0, -3 }, 180.00086, 0.01492, 0.037 }, + { 1, { 0, 0, 0, -1 }, 0.00094, 7.06304, 18.613 }, + { 1, { 0, 0, 0, 0 }, 270.00000, 0.00027, 0.075 }, + { 1, { 0, 0, 0, 1 }, 0.00071, 0.36061, 0.037 }, + { 1, { 0, 0, 0, 3 }, 180.00071, 0.00074, 0.019 }, + { 1, { 0, 0, 1, -3 }, 180.00054, 0.00050, 0.073 }, + { 1, { 0, 0, 1, -1 }, 0.00127, 0.49331, 0.076 }, + { 1, { 0, 0, 1, 0 }, 270.00000, 0.00002, 0.038 }, + { 1, { 0, 0, 1, 1 }, 0.00070, 0.03838, 0.025 }, + { 1, { 0, 0, 1, 3 }, 180.00074, 0.00015, 0.015 }, + { 1, { 0, 0, 2, -3 }, 180.00061, 0.00004, 2.582 }, + { 1, { 0, 0, 2, -1 }, 0.00126, 0.03402, 0.038 }, + { 1, { 0, 0, 2, 1 }, 0.00069, 0.00331, 0.019 }, + { 1, { 0, 0, 2, 3 }, 180.00073, 0.00002, 0.012 }, + { 1, { 0, 0, 3, -1 }, 0.00125, 0.00242, 0.025 }, + { 1, { 0, 0, 3, 1 }, 0.00067, 0.00027, 0.015 }, + { 1, { 0, 0, 4, -1 }, 0.00125, 0.00017, 0.019 }, + { 1, { 0, 0, 4, 1 }, 0.00067, 0.00002, 0.013 }, + { 1, { 0, 0, 5, -1 }, 0.00127, 0.00001, 0.015 }, + { 1, { 0, 1, -3, -1 }, 0.00133, 0.00004, 0.026 }, + { 1, { 0, 1, -2, -1 }, 0.00135, 0.00037, 0.039 }, + { 1, { 0, 1, -2, 1 }, 180.00050, 0.00003, 0.781 }, + { 1, { 0, 1, -1, -3 }, 180.00090, 0.00001, 0.026 }, + { 1, { 0, 1, -1, -1 }, 0.00143, 0.00249, 0.081 }, + { 1, { 0, 1, -1, 1 }, 0.00272, 0.00002, 0.069 }, + { 1, { 0, 1, 0, -1 }, 180.00079, 0.00240, 1.057 }, + { 1, { 0, 1, 0, 1 }, 180.00076, 0.00034, 0.036 }, + { 1, { 0, 1, 1, -1 }, 180.00116, 0.00292, 0.070 }, + { 1, { 0, 1, 1, 1 }, 180.00073, 0.00022, 0.024 }, + { 1, { 0, 1, 2, -1 }, 180.00121, 0.00037, 0.036 }, + { 1, { 0, 1, 2, 1 }, 180.00071, 0.00004, 0.018 }, + { 1, { 0, 1, 3, -1 }, 180.00122, 0.00004, 0.025 }, + { 1, { 0, 2, -1, -1 }, 0.00146, 0.00004, 0.088 }, + { 1, { 0, 2, 0, -1 }, 180.00072, 0.00003, 0.514 }, + { 1, { 0, 2, 1, -1 }, 180.00119, 0.00003, 0.066 }, + { 1, { 1, -1, 0, -1 }, 180.00080, 0.00003, 0.088 }, + { 1, { 1, 0, -2, -1 }, 0.00182, 0.00003, 0.070 }, + { 1, { 1, 0, -1, -1 }, 179.99929, 0.00011, 1.063 }, + { 1, { 1, 0, -1, 1 }, 180.00052, 0.00002, 0.039 }, + { 1, { 1, 0, 0, -1 }, 180.00088, 0.00342, 0.081 }, + { 1, { 1, 0, 0, 1 }, 180.00072, 0.00021, 0.026 }, + { 1, { 1, 0, 1, -1 }, 180.00104, 0.00043, 0.039 }, + { 1, { 1, 0, 1, 1 }, 180.00071, 0.00004, 0.019 }, + { 1, { 1, 0, 2, -1 }, 180.00110, 0.00004, 0.026 }, + { 1, { 1, 1, -1, -1 }, 180.00007, 0.00006, 16.874 }, + { 1, { 1, 1, 0, -1 }, 0.00059, 0.00064, 0.075 }, + { 1, { 1, 1, 0, 1 }, 0.00072, 0.00003, 0.025 }, + { 1, { 1, 1, 1, -1 }, 0.00085, 0.00007, 0.038 }, + { 1, { 2, -3, 0, -1 }, 0.00094, 0.00001, 0.046 }, + { 1, { 2, -2, -1, -1 }, 0.00040, 0.00010, 0.106 }, + { 1, { 2, -2, -1, 1 }, 0.00072, 0.00001, 0.028 }, + { 1, { 2, -2, 0, -1 }, 0.00090, 0.00031, 0.044 }, + { 1, { 2, -2, 0, 1 }, 0.00072, 0.00002, 0.020 }, + { 1, { 2, -2, 1, -1 }, 0.00104, 0.00005, 0.028 }, + { 1, { 2, -1, -3, -1 }, 180.00162, 0.00001, 0.062 }, + { 1, { 2, -1, -2, -1 }, 180.00296, 0.00006, 0.354 }, + { 1, { 2, -1, -2, 1 }, 0.00051, 0.00003, 0.042 }, + { 1, { 2, -1, -1, -1 }, 0.00041, 0.00288, 0.096 }, + { 1, { 2, -1, -1, 1 }, 0.00069, 0.00037, 0.027 }, + { 1, { 2, -1, 0, -1 }, 0.00091, 0.00646, 0.042 }, + { 1, { 2, -1, 0, 1 }, 0.00072, 0.00031, 0.020 }, + { 1, { 2, -1, 1, -1 }, 0.00103, 0.00091, 0.027 }, + { 1, { 2, -1, 1, 1 }, 0.00069, 0.00006, 0.016 }, + { 1, { 2, -1, 2, -1 }, 0.00106, 0.00010, 0.020 }, + { 1, { 2, 0, -4, -1 }, 180.00153, 0.00005, 0.035 }, + { 1, { 2, 0, -3, -1 }, 180.00173, 0.00037, 0.066 }, + { 1, { 2, 0, -3, 1 }, 180.00003, 0.00005, 0.085 }, + { 1, { 2, 0, -2, -3 }, 0.00121, 0.00002, 0.035 }, + { 1, { 2, 0, -2, -1 }, 180.00322, 0.00142, 0.547 }, + { 1, { 2, 0, -2, 1 }, 0.00052, 0.00067, 0.040 }, + { 1, { 2, 0, -1, -1 }, 0.00042, 0.06456, 0.088 }, + { 1, { 2, 0, -1, 1 }, 0.00071, 0.00815, 0.026 }, + { 1, { 2, 0, -1, 3 }, 180.00036, 0.00004, 0.015 }, + { 1, { 2, 0, 0, -3 }, 179.99827, 0.00006, 0.463 }, + { 1, { 2, 0, 0, -1 }, 0.00090, 0.09642, 0.041 }, + { 1, { 2, 0, 0, 1 }, 0.00070, 0.00480, 0.019 }, + { 1, { 2, 0, 0, 3 }, 180.00038, 0.00002, 0.013 }, + { 1, { 2, 0, 1, -3 }, 180.00114, 0.00014, 0.090 }, + { 1, { 2, 0, 1, -1 }, 0.00102, 0.01234, 0.026 }, + { 1, { 2, 0, 1, 1 }, 0.00070, 0.00080, 0.015 }, + { 1, { 2, 0, 2, -3 }, 180.00118, 0.00002, 0.041 }, + { 1, { 2, 0, 2, -1 }, 0.00107, 0.00126, 0.020 }, + { 1, { 2, 0, 2, 1 }, 0.00073, 0.00009, 0.013 }, + { 1, { 2, 0, 3, -1 }, 0.00111, 0.00012, 0.016 }, + { 1, { 2, 0, 3, 1 }, 0.00062, 0.00001, 0.011 }, + { 1, { 2, 1, -1, -1 }, 180.00004, 0.00017, 0.080 }, + { 1, { 2, 1, -1, 1 }, 180.00073, 0.00006, 0.025 }, + { 1, { 2, 1, 0, -1 }, 180.00088, 0.00113, 0.039 }, + { 1, { 2, 1, 0, 1 }, 180.00073, 0.00005, 0.019 }, + { 1, { 2, 1, 1, -1 }, 180.00098, 0.00021, 0.026 }, + { 1, { 2, 1, 1, 1 }, 180.00099, 0.00001, 0.015 }, + { 1, { 2, 1, 2, -1 }, 180.00105, 0.00003, 0.019 }, + { 1, { 2, 2, -1, -1 }, 180.00033, 0.00005, 0.074 }, + { 1, { 3, 0, -2, -1 }, 179.99961, 0.00001, 0.095 }, + { 1, { 3, 0, -1, -1 }, 180.00070, 0.00013, 0.042 }, + { 1, { 3, 0, -1, 1 }, 180.00072, 0.00001, 0.020 }, + { 1, { 3, 1, -1, -1 }, 0.00073, 0.00001, 0.040 }, + { 1, { 3, 1, 0, -1 }, 0.00088, 0.00001, 0.026 }, + { 1, { 4, -2, -1, -1 }, 0.00091, 0.00002, 0.029 }, + { 1, { 4, -2, 0, -1 }, 0.00094, 0.00001, 0.021 }, + { 1, { 4, -1, -2, -1 }, 0.00041, 0.00008, 0.046 }, + { 1, { 4, -1, -2, 1 }, 0.00092, 0.00001, 0.021 }, + { 1, { 4, -1, -1, -1 }, 0.00077, 0.00024, 0.028 }, + { 1, { 4, -1, -1, 1 }, 0.00071, 0.00002, 0.016 }, + { 1, { 4, -1, 0, -1 }, 0.00090, 0.00015, 0.021 }, + { 1, { 4, -1, 1, -1 }, 0.00091, 0.00003, 0.016 }, + { 1, { 4, 0, -3, -1 }, 359.99818, 0.00001, 0.104 }, + { 1, { 4, 0, -3, 1 }, 0.00056, 0.00001, 0.027 }, + { 1, { 4, 0, -2, -1 }, 0.00042, 0.00088, 0.044 }, + { 1, { 4, 0, -2, 1 }, 0.00070, 0.00014, 0.020 }, + { 1, { 4, 0, -1, -1 }, 0.00078, 0.00217, 0.028 }, + { 1, { 4, 0, -1, 1 }, 0.00071, 0.00016, 0.016 }, + { 1, { 4, 0, 0, -1 }, 0.00090, 0.00115, 0.020 }, + { 1, { 4, 0, 0, 1 }, 0.00072, 0.00006, 0.013 }, + { 1, { 4, 0, 1, -1 }, 0.00098, 0.00021, 0.016 }, + { 1, { 4, 0, 1, 1 }, 0.00038, 0.00001, 0.011 }, + { 1, { 4, 0, 2, -1 }, 0.00093, 0.00003, 0.013 }, + { 1, { 4, 1, -1, -1 }, 180.00077, 0.00004, 0.027 }, + { 1, { 4, 1, 0, -1 }, 180.00089, 0.00003, 0.020 }, + { 1, { 6, 0, -3, -1 }, 0.00037, 0.00001, 0.029 }, + { 1, { 6, 0, -2, -1 }, 0.00067, 0.00004, 0.021 }, + { 1, { 6, 0, -1, -1 }, 0.00090, 0.00004, 0.016 }, + { 1, { 6, 0, 0, -1 }, 0.00090, 0.00002, 0.013 }, + { 2, { -2, -1, 0, 0 }, 0.00000, 0.00001, 1.000 }, + { 2, { -2, 0, -1, -2 }, 180.00000, 0.00004, 0.026 }, + { 2, { -2, 0, -1, 0 }, 0.00000, 0.00013, 0.089 }, + { 2, { -2, 0, 0, -2 }, 180.00000, 0.00027, 0.040 }, + { 2, { -2, 0, 0, 0 }, 180.00000, 0.00043, 0.500 }, + { 2, { -2, 0, 1, -2 }, 180.00000, 0.00025, 0.086 }, + { 2, { -2, 0, 1, 0 }, 180.00000, 0.00002, 0.066 }, + { 2, { -2, 0, 2, -2 }, 0.00000, 0.00001, 0.600 }, + { 2, { -2, 1, 0, -2 }, 180.00000, 0.00002, 0.042 }, + { 2, { -2, 1, 0, 0 }, 180.00000, 0.00003, 0.333 }, + { 2, { -2, 1, 1, -2 }, 180.00000, 0.00001, 0.094 }, + { 2, { 0, -1, 0, -2 }, 180.00000, 0.00003, 0.903 }, + { 2, { 0, -1, 1, -2 }, 180.00000, 0.00002, 0.082 }, + { 2, { 0, 0, -2, -2 }, 180.00000, 0.00016, 0.038 }, + { 2, { 0, 0, -2, 0 }, 0.00000, 0.00009, 4.424 }, + { 2, { 0, 0, -1, -4 }, 0.00000, 0.00001, 0.025 }, + { 2, { 0, 0, -1, -2 }, 180.00000, 0.00239, 0.075 }, + { 2, { 0, 0, -1, -1 }, 270.00000, 0.00001, 16.863 }, + { 2, { 0, 0, -1, 0 }, 180.00000, 0.00080, 0.074 }, + { 2, { 0, 0, 0, -4 }, 0.00000, 0.00007, 0.037 }, + { 2, { 0, 0, 0, -2 }, 180.00000, 0.03638, 9.307 }, + { 2, { 0, 0, 0, -1 }, 90.00000, 0.00003, 0.075 }, + { 2, { 0, 0, 0, 0 }, 180.00000, 0.00239, 0.037 }, + { 2, { 0, 0, 1, -2 }, 180.00000, 0.00241, 0.076 }, + { 2, { 0, 0, 1, 0 }, 180.00000, 0.00025, 0.025 }, + { 2, { 0, 0, 2, -2 }, 180.00000, 0.00017, 0.038 }, + { 2, { 0, 0, 2, 0 }, 180.00000, 0.00002, 0.019 }, + { 2, { 0, 1, 0, -2 }, 0.00000, 0.00002, 1.120 }, + { 2, { 0, 1, 1, -2 }, 0.00000, 0.00001, 0.071 }, + { 2, { 1, 0, 0, -2 }, 0.00000, 0.00002, 0.082 }, + { 2, { 1, 1, 0, -2 }, 180.00000, 0.00004, 0.075 }, + { 2, { 2, -1, -1, -2 }, 180.00000, 0.00002, 0.096 }, + { 2, { 2, -1, 0, -2 }, 180.00000, 0.00004, 0.042 }, + { 2, { 2, 0, -1, -2 }, 180.00000, 0.00039, 0.088 }, + { 2, { 2, 0, -1, 0 }, 180.00000, 0.00006, 0.026 }, + { 2, { 2, 0, 0, -2 }, 180.00000, 0.00057, 0.041 }, + { 2, { 2, 0, 0, 0 }, 180.00000, 0.00003, 0.019 }, + { 2, { 2, 0, 1, -2 }, 180.00000, 0.00007, 0.026 }, + { 2, { 4, 0, -1, -2 }, 180.00000, 0.00001, 0.028 } +} }; + +constexpr array g_ELP5 +{ { + { 0, { 0, 0, 0, 3 }, 0.00000, 0.00003, 0.025 }, + { 0, { 0, 0, 1, -3 }, 180.00000, 0.00021, 0.037 }, + { 0, { 0, 0, 1, -1 }, 0.00000, 0.00056, 5.997 }, + { 0, { 0, 0, 1, 1 }, 0.00000, 0.00047, 0.037 }, + { 0, { 0, 0, 2, -3 }, 0.00000, 0.00004, 0.073 }, + { 0, { 0, 0, 2, -1 }, 180.00000, 0.00144, 0.076 }, + { 0, { 0, 0, 2, 1 }, 0.00000, 0.00003, 0.025 }, + { 0, { 0, 0, 3, -1 }, 180.00000, 0.00007, 0.038 }, + { 0, { 0, 1, -1, -1 }, 180.00000, 0.00002, 0.039 }, + { 0, { 0, 1, -1, 1 }, 180.00000, 0.00002, 0.857 }, + { 0, { 0, 1, 0, -1 }, 180.00000, 0.00004, 0.081 }, + { 0, { 0, 1, 0, 1 }, 180.00000, 0.00004, 0.069 }, + { 0, { 0, 1, 1, -1 }, 180.00000, 0.00001, 1.200 }, + { 0, { 0, 1, 1, 1 }, 180.00000, 0.00002, 0.036 }, + { 0, { 1, 0, 0, -1 }, 180.00000, 0.00004, 0.949 }, + { 0, { 1, 0, 0, 1 }, 180.00000, 0.00005, 0.039 }, + { 0, { 1, 1, -1, -1 }, 0.00000, 0.00001, 0.075 }, + { 0, { 1, 1, -1, 1 }, 0.00000, 0.00001, 0.074 }, + { 0, { 1, 1, 0, -1 }, 180.00000, 0.00003, 18.600 }, + { 0, { 1, 1, 0, 1 }, 180.00000, 0.00003, 0.037 }, + { 0, { 2, -1, -1, -1 }, 0.00000, 0.00003, 0.340 }, + { 0, { 2, -1, -1, 1 }, 0.00000, 0.00004, 0.042 }, + { 0, { 2, -1, 0, -1 }, 180.00000, 0.00006, 0.097 }, + { 0, { 2, 0, -2, -1 }, 180.00000, 0.00005, 0.066 }, + { 0, { 2, 0, -2, 1 }, 180.00000, 0.00021, 0.086 }, + { 0, { 2, 0, -1, -1 }, 0.00000, 0.00126, 0.515 }, + { 0, { 2, 0, -1, 1 }, 0.00000, 0.00108, 0.040 }, + { 0, { 2, 0, 0, -3 }, 0.00000, 0.00004, 0.064 }, + { 0, { 2, 0, 0, -1 }, 180.00000, 0.00217, 0.088 }, + { 0, { 2, 0, 0, 1 }, 0.00000, 0.00013, 0.026 }, + { 0, { 2, 0, 1, -3 }, 0.00000, 0.00003, 0.440 }, + { 0, { 2, 0, 1, -1 }, 180.00000, 0.00008, 0.041 }, + { 0, { 2, 0, 2, -1 }, 180.00000, 0.00002, 0.026 }, + { 0, { 2, 1, -1, -1 }, 180.00000, 0.00001, 1.063 }, + { 0, { 2, 1, 0, -1 }, 0.00000, 0.00009, 0.081 }, + { 0, { 2, 2, 0, -1 }, 0.00000, 0.00001, 0.075 }, + { 0, { 4, 0, -2, 1 }, 0.00000, 0.00003, 0.027 }, + { 0, { 4, 0, -1, -1 }, 0.00000, 0.00001, 0.044 }, + { 0, { 4, 0, -1, 1 }, 0.00000, 0.00002, 0.020 }, + { 0, { 4, 0, 0, -1 }, 180.00000, 0.00001, 0.028 }, + { 1, { -6, 0, 0, 0 }, 0.00076, 0.00002, 0.016 }, + { 1, { -6, 0, 1, 0 }, 0.00075, 0.00005, 0.021 }, + { 1, { -6, 0, 2, 0 }, 0.00075, 0.00004, 0.029 }, + { 1, { -4, -1, 0, 0 }, 180.00075, 0.00006, 0.027 }, + { 1, { -4, -1, 1, 0 }, 180.00074, 0.00008, 0.042 }, + { 1, { -4, 0, -2, 0 }, 0.00076, 0.00003, 0.016 }, + { 1, { -4, 0, -1, -2 }, 0.00095, 0.00002, 0.013 }, + { 1, { -4, 0, -1, 0 }, 0.00075, 0.00025, 0.020 }, + { 1, { -4, 0, -1, 2 }, 180.00046, 0.00001, 0.044 }, + { 1, { -4, 0, 0, -2 }, 0.00094, 0.00009, 0.016 }, + { 1, { -4, 0, 0, 0 }, 0.00073, 0.00188, 0.028 }, + { 1, { -4, 0, 0, 2 }, 0.00072, 0.00009, 0.108 }, + { 1, { -4, 0, 1, -2 }, 0.00083, 0.00017, 0.020 }, + { 1, { -4, 0, 1, 0 }, 0.00071, 0.00322, 0.044 }, + { 1, { -4, 0, 2, -2 }, 0.00055, 0.00009, 0.027 }, + { 1, { -4, 0, 2, 0 }, 0.00070, 0.00029, 0.104 }, + { 1, { -4, 1, -1, 0 }, 0.00075, 0.00003, 0.021 }, + { 1, { -4, 1, 0, -2 }, 0.00094, 0.00001, 0.016 }, + { 1, { -4, 1, 0, 0 }, 0.00075, 0.00021, 0.028 }, + { 1, { -4, 1, 1, -2 }, 0.00094, 0.00002, 0.021 }, + { 1, { -4, 1, 1, 0 }, 0.00072, 0.00029, 0.046 }, + { 1, { -4, 1, 2, -2 }, 0.00093, 0.00001, 0.028 }, + { 1, { -4, 1, 2, 0 }, 0.00072, 0.00002, 0.116 }, + { 1, { -4, 2, 0, 0 }, 0.00072, 0.00001, 0.029 }, + { 1, { -4, 2, 1, 0 }, 0.00072, 0.00002, 0.048 }, + { 1, { -3, -1, 0, 0 }, 0.00072, 0.00002, 0.040 }, + { 1, { -3, 0, -1, 0 }, 180.00072, 0.00002, 0.027 }, + { 1, { -3, 0, 0, 0 }, 180.00074, 0.00017, 0.042 }, + { 1, { -3, 0, 0, 2 }, 180.00072, 0.00001, 0.322 }, + { 1, { -3, 0, 1, 0 }, 180.00073, 0.00014, 0.095 }, + { 1, { -3, 0, 2, 0 }, 180.00072, 0.00002, 0.360 }, + { 1, { -3, 1, 0, 0 }, 180.00072, 0.00001, 0.044 }, + { 1, { -2, -2, 0, 0 }, 180.00037, 0.00013, 0.075 }, + { 1, { -2, -2, 1, 0 }, 180.00072, 0.00005, 8.853 }, + { 1, { -2, -1, -2, 0 }, 180.00075, 0.00003, 0.026 }, + { 1, { -2, -1, -1, -2 }, 180.00095, 0.00001, 0.019 }, + { 1, { -2, -1, -1, 0 }, 180.00073, 0.00041, 0.039 }, + { 1, { -2, -1, 0, -2 }, 180.00094, 0.00006, 0.026 }, + { 1, { -2, -1, 0, 0 }, 180.00071, 0.00589, 0.081 }, + { 1, { -2, -1, 0, 2 }, 180.00079, 0.00007, 0.069 }, + { 1, { -2, -1, 1, -2 }, 180.00066, 0.00005, 0.039 }, + { 1, { -2, -1, 1, 0 }, 180.00074, 0.00034, 1.127 }, + { 1, { -2, -1, 2, 0 }, 0.00072, 0.00003, 0.071 }, + { 1, { -2, 0, -3, -2 }, 0.00094, 0.00001, 0.013 }, + { 1, { -2, 0, -3, 0 }, 0.00077, 0.00007, 0.020 }, + { 1, { -2, 0, -2, -2 }, 0.00111, 0.00014, 0.015 }, + { 1, { -2, 0, -2, 0 }, 0.00077, 0.00110, 0.026 }, + { 1, { -2, 0, -2, 2 }, 180.00047, 0.00002, 0.091 }, + { 1, { -2, 0, -1, -2 }, 0.00104, 0.00104, 0.019 }, + { 1, { -2, 0, -1, 0 }, 0.00075, 0.01647, 0.041 }, + { 1, { -2, 0, -1, 2 }, 180.00059, 0.00048, 0.450 }, + { 1, { -2, 0, 0, -4 }, 180.00090, 0.00001, 0.015 }, + { 1, { -2, 0, 0, -2 }, 0.00093, 0.00562, 0.026 }, + { 1, { -2, 0, 0, 0 }, 0.00072, 0.29854, 0.088 }, + { 1, { -2, 0, 0, 2 }, 0.00077, 0.00273, 0.065 }, + { 1, { -2, 0, 1, -4 }, 180.00088, 0.00002, 0.019 }, + { 1, { -2, 0, 1, -2 }, 0.00065, 0.00562, 0.040 }, + { 1, { -2, 0, 1, 0 }, 0.00071, 0.07332, 0.530 }, + { 1, { -2, 0, 1, 2 }, 0.00072, 0.00043, 0.035 }, + { 1, { -2, 0, 2, -2 }, 179.99951, 0.00002, 0.085 }, + { 1, { -2, 0, 2, 0 }, 0.00066, 0.00672, 0.066 }, + { 1, { -2, 0, 2, 2 }, 0.00072, 0.00003, 0.024 }, + { 1, { -2, 0, 3, 0 }, 0.00063, 0.00063, 0.035 }, + { 1, { -2, 0, 4, 0 }, 0.00061, 0.00005, 0.024 }, + { 1, { -2, 1, -2, -2 }, 0.00094, 0.00001, 0.016 }, + { 1, { -2, 1, -2, 0 }, 0.00075, 0.00006, 0.027 }, + { 1, { -2, 1, -1, -2 }, 0.00104, 0.00008, 0.020 }, + { 1, { -2, 1, -1, 0 }, 0.00075, 0.00086, 0.042 }, + { 1, { -2, 1, -1, 2 }, 180.00060, 0.00003, 0.311 }, + { 1, { -2, 1, 0, -2 }, 0.00094, 0.00038, 0.027 }, + { 1, { -2, 1, 0, 0 }, 0.00072, 0.01404, 0.096 }, + { 1, { -2, 1, 0, 2 }, 0.00076, 0.00011, 0.061 }, + { 1, { -2, 1, 1, -2 }, 0.00065, 0.00025, 0.042 }, + { 1, { -2, 1, 1, 0 }, 0.00071, 0.00328, 0.346 }, + { 1, { -2, 1, 1, 2 }, 0.00073, 0.00001, 0.034 }, + { 1, { -2, 1, 2, 0 }, 0.00068, 0.00028, 0.062 }, + { 1, { -2, 1, 3, 0 }, 0.00072, 0.00002, 0.034 }, + { 1, { -2, 2, -1, 0 }, 0.00074, 0.00003, 0.044 }, + { 1, { -2, 2, 0, -2 }, 0.00093, 0.00002, 0.028 }, + { 1, { -2, 2, 0, 0 }, 0.00073, 0.00051, 0.107 }, + { 1, { -2, 2, 1, -2 }, 0.00091, 0.00001, 0.044 }, + { 1, { -2, 2, 1, 0 }, 0.00072, 0.00012, 0.257 }, + { 1, { -2, 2, 2, 0 }, 0.00072, 0.00001, 0.058 }, + { 1, { -2, 3, 0, 0 }, 0.00072, 0.00002, 0.119 }, + { 1, { -1, -1, -1, 0 }, 0.00072, 0.00002, 0.075 }, + { 1, { -1, -1, 0, -2 }, 0.00094, 0.00002, 0.037 }, + { 1, { -1, -1, 0, 0 }, 0.00072, 0.00036, 25770.018 }, + { 1, { -1, 0, -2, 0 }, 180.00072, 0.00002, 0.039 }, + { 1, { -1, 0, -1, -2 }, 180.00112, 0.00003, 0.026 }, + { 1, { -1, 0, -1, 0 }, 180.00072, 0.00029, 0.082 }, + { 1, { -1, 0, 0, -2 }, 180.00099, 0.00013, 0.039 }, + { 1, { -1, 0, 0, 0 }, 180.00073, 0.00212, 1.000 }, + { 1, { -1, 0, 0, 2 }, 180.00069, 0.00005, 0.036 }, + { 1, { -1, 0, 1, 0 }, 180.00074, 0.00017, 0.070 }, + { 1, { -1, 0, 2, 0 }, 180.00071, 0.00004, 0.036 }, + { 1, { 0, -2, -1, 0 }, 180.00072, 0.00003, 0.530 }, + { 1, { 0, -2, 1, 0 }, 180.00071, 0.00005, 0.041 }, + { 1, { 0, -1, -3, 0 }, 180.00072, 0.00001, 0.036 }, + { 1, { 0, -1, -2, -2 }, 180.00119, 0.00004, 0.024 }, + { 1, { 0, -1, -2, 0 }, 180.00080, 0.00014, 0.071 }, + { 1, { 0, -1, -1, -2 }, 180.00114, 0.00018, 0.036 }, + { 1, { 0, -1, -1, 0 }, 180.00076, 0.00227, 1.127 }, + { 1, { 0, -1, 0, -2 }, 180.00192, 0.00002, 0.069 }, + { 1, { 0, -1, 0, 0 }, 180.00058, 0.00252, 0.081 }, + { 1, { 0, -1, 1, -2 }, 0.00202, 0.00004, 0.819 }, + { 1, { 0, -1, 1, 0 }, 180.00068, 0.00276, 0.039 }, + { 1, { 0, -1, 2, 0 }, 180.00065, 0.00031, 0.026 }, + { 1, { 0, -1, 3, 0 }, 180.00069, 0.00003, 0.019 }, + { 1, { 0, 0, -4, -2 }, 0.00121, 0.00003, 0.015 }, + { 1, { 0, 0, -4, 0 }, 0.00064, 0.00005, 0.025 }, + { 1, { 0, 0, -3, -2 }, 0.00119, 0.00033, 0.019 }, + { 1, { 0, 0, -3, 0 }, 0.00069, 0.00091, 0.038 }, + { 1, { 0, 0, -2, -4 }, 180.00089, 0.00001, 0.015 }, + { 1, { 0, 0, -2, -2 }, 0.00116, 0.00377, 0.025 }, + { 1, { 0, 0, -2, 0 }, 0.00067, 0.01745, 0.076 }, + { 1, { 0, 0, -2, 2 }, 180.00038, 0.00033, 0.073 }, + { 1, { 0, 0, -1, -4 }, 180.00098, 0.00008, 0.019 }, + { 1, { 0, 0, -1, -2 }, 0.00109, 0.03977, 0.037 }, + { 1, { 0, 0, -1, 0 }, 0.00075, 0.45586, 8.847 }, + { 1, { 0, 0, -1, 2 }, 0.00062, 0.00437, 0.037 }, + { 1, { 0, 0, 0, -4 }, 180.00086, 0.00034, 0.025 }, + { 1, { 0, 0, 0, -2 }, 0.00086, 0.32622, 0.074 }, + { 1, { 0, 0, 0, -1 }, 270.00000, 0.00001, 18.613 }, + { 1, { 0, 0, 0, 0 }, 180.00071, 8.04508, 0.075 }, + { 1, { 0, 0, 0, 1 }, 270.00000, 0.00001, 0.037 }, + { 1, { 0, 0, 0, 2 }, 0.00071, 0.00834, 0.025 }, + { 1, { 0, 0, 0, 4 }, 180.00032, 0.00002, 0.015 }, + { 1, { 0, 0, 1, -4 }, 180.00067, 0.00009, 0.037 }, + { 1, { 0, 0, 1, -2 }, 0.00464, 0.00239, 4.536 }, + { 1, { 0, 0, 1, 0 }, 180.00069, 0.41571, 0.038 }, + { 1, { 0, 0, 1, 2 }, 0.00070, 0.00133, 0.019 }, + { 1, { 0, 0, 2, -2 }, 0.00147, 0.00079, 0.077 }, + { 1, { 0, 0, 2, 0 }, 180.00066, 0.02403, 0.025 }, + { 1, { 0, 0, 2, 2 }, 0.00071, 0.00015, 0.015 }, + { 1, { 0, 0, 3, -2 }, 0.00137, 0.00007, 0.038 }, + { 1, { 0, 0, 3, 0 }, 180.00062, 0.00146, 0.019 }, + { 1, { 0, 0, 3, 2 }, 0.00075, 0.00002, 0.013 }, + { 1, { 0, 0, 4, 0 }, 180.00058, 0.00009, 0.015 }, + { 1, { 0, 1, -3, 0 }, 0.00072, 0.00001, 0.039 }, + { 1, { 0, 1, -2, -2 }, 0.00119, 0.00004, 0.026 }, + { 1, { 0, 1, -2, 0 }, 0.00077, 0.00014, 0.082 }, + { 1, { 0, 1, -1, -2 }, 0.00114, 0.00023, 0.039 }, + { 1, { 0, 1, -1, 0 }, 0.00074, 0.00257, 0.898 }, + { 1, { 0, 1, -1, 2 }, 0.00087, 0.00001, 0.036 }, + { 1, { 0, 1, 0, -2 }, 0.00071, 0.00003, 0.080 }, + { 1, { 0, 1, 0, 0 }, 0.00095, 0.00206, 0.070 }, + { 1, { 0, 1, 0, 2 }, 180.00072, 0.00002, 0.024 }, + { 1, { 0, 1, 1, -2 }, 180.00217, 0.00003, 1.283 }, + { 1, { 0, 1, 1, 0 }, 0.00070, 0.00212, 0.036 }, + { 1, { 0, 1, 2, 0 }, 0.00065, 0.00025, 0.024 }, + { 1, { 0, 1, 3, 0 }, 0.00069, 0.00002, 0.018 }, + { 1, { 0, 2, -1, 0 }, 0.00072, 0.00004, 0.473 }, + { 1, { 0, 2, 0, 0 }, 0.00088, 0.00002, 0.065 }, + { 1, { 0, 2, 1, 0 }, 0.00072, 0.00002, 0.035 }, + { 1, { 1, 0, -2, 0 }, 0.00072, 0.00004, 1.292 }, + { 1, { 1, 0, -1, 0 }, 180.00137, 0.00003, 0.080 }, + { 1, { 1, 0, 0, -2 }, 180.00102, 0.00003, 0.903 }, + { 1, { 1, 0, 0, 0 }, 0.00071, 0.00218, 0.039 }, + { 1, { 1, 0, 1, -2 }, 180.00131, 0.00001, 0.082 }, + { 1, { 1, 0, 1, 0 }, 0.00067, 0.00026, 0.026 }, + { 1, { 1, 0, 2, 0 }, 0.00068, 0.00002, 0.019 }, + { 1, { 1, 1, -1, 0 }, 0.00022, 0.00008, 0.074 }, + { 1, { 1, 1, 0, -2 }, 0.00028, 0.00001, 9.303 }, + { 1, { 1, 1, 0, 0 }, 180.00073, 0.00032, 0.037 }, + { 1, { 1, 1, 1, 0 }, 180.00070, 0.00004, 0.025 }, + { 1, { 2, -2, -1, 0 }, 180.00071, 0.00013, 0.044 }, + { 1, { 2, -2, 0, -2 }, 0.00102, 0.00002, 0.108 }, + { 1, { 2, -2, 0, 0 }, 180.00070, 0.00015, 0.028 }, + { 1, { 2, -2, 1, 0 }, 180.00069, 0.00002, 0.020 }, + { 1, { 2, -1, -2, -2 }, 180.00146, 0.00002, 0.062 }, + { 1, { 2, -1, -2, 0 }, 0.00091, 0.00002, 0.094 }, + { 1, { 2, -1, -1, -2 }, 180.00253, 0.00003, 0.334 }, + { 1, { 2, -1, -1, 0 }, 180.00073, 0.00371, 0.042 }, + { 1, { 2, -1, -1, 2 }, 0.00072, 0.00002, 0.020 }, + { 1, { 2, -1, 0, -2 }, 0.00101, 0.00049, 0.097 }, + { 1, { 2, -1, 0, 0 }, 180.00070, 0.00315, 0.027 }, + { 1, { 2, -1, 0, 2 }, 0.00073, 0.00001, 0.016 }, + { 1, { 2, -1, 1, -2 }, 0.00112, 0.00008, 0.043 }, + { 1, { 2, -1, 1, 0 }, 180.00066, 0.00043, 0.020 }, + { 1, { 2, -1, 2, 0 }, 180.00067, 0.00004, 0.016 }, + { 1, { 2, 0, -4, 0 }, 180.00072, 0.00001, 0.067 }, + { 1, { 2, 0, -3, -2 }, 180.00138, 0.00007, 0.035 }, + { 1, { 2, 0, -3, 0 }, 180.00074, 0.00013, 0.602 }, + { 1, { 2, 0, -2, -2 }, 180.00150, 0.00038, 0.066 }, + { 1, { 2, 0, -2, 0 }, 0.00164, 0.00033, 0.086 }, + { 1, { 2, 0, -2, 2 }, 0.00062, 0.00010, 0.026 }, + { 1, { 2, 0, -1, -4 }, 180.00083, 0.00001, 0.035 }, + { 1, { 2, 0, -1, -2 }, 180.00240, 0.00066, 0.501 }, + { 1, { 2, 0, -1, 0 }, 180.00073, 0.08350, 0.040 }, + { 1, { 2, 0, -1, 2 }, 0.00069, 0.00033, 0.019 }, + { 1, { 2, 0, 0, -4 }, 180.00072, 0.00004, 0.064 }, + { 1, { 2, 0, 0, -2 }, 0.00102, 0.01005, 0.089 }, + { 1, { 2, 0, 0, 0 }, 180.00070, 0.04638, 0.026 }, + { 1, { 2, 0, 0, 2 }, 0.00073, 0.00018, 0.015 }, + { 1, { 2, 0, 1, -2 }, 0.00112, 0.00139, 0.041 }, + { 1, { 2, 0, 1, 0 }, 180.00067, 0.00563, 0.019 }, + { 1, { 2, 0, 1, 2 }, 0.00072, 0.00004, 0.013 }, + { 1, { 2, 0, 2, -2 }, 0.00115, 0.00014, 0.026 }, + { 1, { 2, 0, 2, 0 }, 180.00062, 0.00054, 0.015 }, + { 1, { 2, 0, 3, -2 }, 0.00093, 0.00001, 0.020 }, + { 1, { 2, 0, 3, 0 }, 180.00066, 0.00005, 0.013 }, + { 1, { 2, 1, -2, 0 }, 180.00072, 0.00002, 0.079 }, + { 1, { 2, 1, -1, -2 }, 0.00121, 0.00001, 1.006 }, + { 1, { 2, 1, -1, 0 }, 0.00074, 0.00055, 0.039 }, + { 1, { 2, 1, 0, -2 }, 180.00103, 0.00019, 0.082 }, + { 1, { 2, 1, 0, 0 }, 0.00071, 0.00049, 0.026 }, + { 1, { 2, 1, 1, -2 }, 180.00114, 0.00003, 0.039 }, + { 1, { 2, 1, 1, 0 }, 0.00069, 0.00009, 0.019 }, + { 1, { 2, 1, 2, 0 }, 0.00067, 0.00001, 0.015 }, + { 1, { 2, 2, -1, 0 }, 0.00071, 0.00005, 0.037 }, + { 1, { 3, 0, -2, 0 }, 0.00072, 0.00002, 0.042 }, + { 1, { 3, 0, -1, 0 }, 0.00070, 0.00008, 0.027 }, + { 1, { 3, 0, 0, 0 }, 0.00072, 0.00001, 0.020 }, + { 1, { 4, -2, -1, 0 }, 180.00072, 0.00001, 0.021 }, + { 1, { 4, -1, -2, 0 }, 180.00070, 0.00008, 0.028 }, + { 1, { 4, -1, -1, -2 }, 0.00074, 0.00002, 0.046 }, + { 1, { 4, -1, -1, 0 }, 180.00069, 0.00013, 0.021 }, + { 1, { 4, -1, 0, -2 }, 0.00096, 0.00002, 0.029 }, + { 1, { 4, -1, 0, 0 }, 180.00067, 0.00006, 0.016 }, + { 1, { 4, -1, 1, 0 }, 180.00066, 0.00001, 0.013 }, + { 1, { 4, 0, -3, 0 }, 180.00034, 0.00001, 0.043 }, + { 1, { 4, 0, -2, 0 }, 180.00074, 0.00097, 0.028 }, + { 1, { 4, 0, -1, -2 }, 0.00074, 0.00019, 0.044 }, + { 1, { 4, 0, -1, 0 }, 180.00071, 0.00113, 0.020 }, + { 1, { 4, 0, -1, 2 }, 0.00056, 0.00001, 0.013 }, + { 1, { 4, 0, 0, -2 }, 0.00096, 0.00019, 0.028 }, + { 1, { 4, 0, 0, 0 }, 180.00067, 0.00043, 0.016 }, + { 1, { 4, 0, 1, -2 }, 0.00103, 0.00004, 0.020 }, + { 1, { 4, 0, 1, 0 }, 180.00066, 0.00007, 0.013 }, + { 1, { 4, 1, -2, 0 }, 0.00072, 0.00001, 0.027 }, + { 1, { 4, 1, -1, 0 }, 0.00069, 0.00002, 0.020 }, + { 1, { 6, 0, -3, 0 }, 180.00069, 0.00001, 0.021 }, + { 1, { 6, 0, -2, 0 }, 180.00067, 0.00002, 0.016 }, + { 1, { 6, 0, -1, 0 }, 180.00066, 0.00001, 0.013 }, + { 2, { -4, 0, 0, -1 }, 180.00000, 0.00002, 0.028 }, + { 2, { -4, 0, 1, -1 }, 180.00000, 0.00003, 0.044 }, + { 2, { -2, -1, 0, -1 }, 0.00000, 0.00006, 0.081 }, + { 2, { -2, 0, -2, -1 }, 180.00000, 0.00001, 0.026 }, + { 2, { -2, 0, -1, -1 }, 180.00000, 0.00016, 0.041 }, + { 2, { -2, 0, 0, -3 }, 180.00000, 0.00003, 0.026 }, + { 2, { -2, 0, 0, -1 }, 180.00000, 0.00293, 0.088 }, + { 2, { -2, 0, 0, 1 }, 180.00000, 0.00014, 0.065 }, + { 2, { -2, 0, 1, -3 }, 180.00000, 0.00003, 0.040 }, + { 2, { -2, 0, 1, -1 }, 180.00000, 0.00072, 0.545 }, + { 2, { -2, 0, 1, 1 }, 180.00000, 0.00001, 0.035 }, + { 2, { -2, 0, 2, -1 }, 180.00000, 0.00007, 0.066 }, + { 2, { -2, 1, 0, -1 }, 180.00000, 0.00014, 0.096 }, + { 2, { -2, 1, 1, -1 }, 180.00000, 0.00003, 0.353 }, + { 2, { -1, 0, 0, -1 }, 0.00000, 0.00002, 1.057 }, + { 2, { 0, -1, -1, -1 }, 0.00000, 0.00002, 1.063 }, + { 2, { 0, -1, 0, -1 }, 0.00000, 0.00003, 0.081 }, + { 2, { 0, -1, 1, -1 }, 0.00000, 0.00003, 0.039 }, + { 2, { 0, 0, -3, -1 }, 180.00000, 0.00001, 0.038 }, + { 2, { 0, 0, -2, -3 }, 180.00000, 0.00002, 0.025 }, + { 2, { 0, 0, -2, -1 }, 180.00000, 0.00020, 0.076 }, + { 2, { 0, 0, -2, 1 }, 180.00000, 0.00005, 0.073 }, + { 2, { 0, 0, -1, -3 }, 180.00000, 0.00019, 0.037 }, + { 2, { 0, 0, -1, -1 }, 180.00000, 0.00441, 16.863 }, + { 2, { 0, 0, -1, 1 }, 180.00000, 0.00006, 0.037 }, + { 2, { 0, 0, 0, -3 }, 180.00000, 0.00156, 0.074 }, + { 2, { 0, 0, 0, -1 }, 0.00000, 0.08042, 0.075 }, + { 2, { 0, 0, 0, 1 }, 180.00000, 0.00003, 0.025 }, + { 2, { 0, 0, 1, -1 }, 0.00000, 0.00425, 0.038 }, + { 2, { 0, 0, 2, -1 }, 0.00000, 0.00026, 0.025 }, + { 2, { 0, 0, 3, -1 }, 0.00000, 0.00002, 0.019 }, + { 2, { 0, 1, -1, -1 }, 180.00000, 0.00002, 0.944 }, + { 2, { 0, 1, 1, -1 }, 180.00000, 0.00002, 0.036 }, + { 2, { 1, 0, 0, -1 }, 180.00000, 0.00002, 0.039 }, + { 2, { 1, 1, -1, -1 }, 180.00000, 0.00002, 0.074 }, + { 2, { 2, -1, -1, -1 }, 0.00000, 0.00004, 0.042 }, + { 2, { 2, -1, 0, -1 }, 0.00000, 0.00003, 0.027 }, + { 2, { 2, 0, -1, -1 }, 0.00000, 0.00085, 0.040 }, + { 2, { 2, 0, 0, -3 }, 180.00000, 0.00005, 0.089 }, + { 2, { 2, 0, 0, -1 }, 0.00000, 0.00049, 0.026 }, + { 2, { 2, 0, 1, -1 }, 0.00000, 0.00006, 0.019 }, + { 2, { 4, 0, -1, -1 }, 0.00000, 0.00001, 0.020 } +} }; + +constexpr array g_ELP6 +{ { + { 0, { 0, 0, 0, 0 }, 90.00000, 0.04301, 99999.999 }, + { 0, { 0, 0, 0, 1 }, 180.00000, 0.00003, 0.075 }, + { 0, { 0, 0, 0, 2 }, 270.00000, 0.00004, 0.037 }, + { 0, { 0, 0, 1, -2 }, 270.00000, 0.00444, 0.074 }, + { 0, { 0, 0, 1, 0 }, 90.00000, 0.00531, 0.075 }, + { 0, { 0, 0, 2, -2 }, 90.00000, 0.00026, 2.998 }, + { 0, { 0, 0, 2, 0 }, 90.00000, 0.00042, 0.038 }, + { 0, { 0, 0, 2, 2 }, 270.00000, 0.00004, 0.019 }, + { 0, { 0, 0, 3, -2 }, 270.00000, 0.00002, 0.077 }, + { 0, { 0, 0, 3, 0 }, 90.00000, 0.00003, 0.025 }, + { 0, { 0, 1, -2, 0 }, 270.00000, 0.00004, 0.039 }, + { 0, { 0, 1, -1, 0 }, 270.00000, 0.00037, 0.082 }, + { 0, { 0, 1, 0, 0 }, 90.00000, 0.00009, 1.000 }, + { 0, { 0, 1, 1, -2 }, 270.00000, 0.00005, 0.079 }, + { 0, { 0, 1, 1, 0 }, 90.00000, 0.00017, 0.070 }, + { 0, { 0, 1, 2, 0 }, 90.00000, 0.00002, 0.036 }, + { 0, { 0, 2, 0, 0 }, 270.00000, 0.00002, 0.500 }, + { 0, { 1, -1, 0, 0 }, 90.00000, 0.00012, 0.088 }, + { 0, { 1, 0, -1, 0 }, 270.00000, 0.00005, 1.127 }, + { 0, { 1, 0, 0, 0 }, 90.00000, 0.00088, 0.081 }, + { 0, { 1, 0, 1, 0 }, 90.00000, 0.00006, 0.039 }, + { 0, { 1, 1, -1, 0 }, 270.00000, 0.00004, 8.850 }, + { 0, { 1, 1, 0, 0 }, 90.00000, 0.00064, 0.075 }, + { 0, { 1, 1, 1, 0 }, 90.00000, 0.00004, 0.038 }, + { 0, { 2, -1, -1, 0 }, 270.00000, 0.00053, 0.095 }, + { 0, { 2, -1, 1, -2 }, 270.00000, 0.00003, 0.099 }, + { 0, { 2, 0, -3, 0 }, 90.00000, 0.00003, 0.067 }, + { 0, { 2, 0, -2, 0 }, 90.00000, 0.00082, 0.564 }, + { 0, { 2, 0, -2, 2 }, 270.00000, 0.00003, 0.040 }, + { 0, { 2, 0, -1, 0 }, 270.00000, 0.01961, 0.087 }, + { 0, { 2, 0, -1, 2 }, 270.00000, 0.00003, 0.026 }, + { 0, { 2, 0, 0, -2 }, 90.00000, 0.00021, 0.474 }, + { 0, { 2, 0, 0, 0 }, 270.00000, 0.00047, 0.040 }, + { 0, { 2, 0, 1, -2 }, 270.00000, 0.00071, 0.090 }, + { 0, { 2, 0, 2, -2 }, 270.00000, 0.00005, 0.041 }, + { 0, { 2, 1, -1, 0 }, 90.00000, 0.00008, 0.080 }, + { 0, { 2, 1, 0, 0 }, 90.00000, 0.00003, 0.039 }, + { 0, { 2, 2, -1, 0 }, 270.00000, 0.00009, 0.074 }, + { 0, { 4, -1, -1, 0 }, 270.00000, 0.00002, 0.028 }, + { 0, { 4, 0, -2, 0 }, 270.00000, 0.00017, 0.044 }, + { 0, { 4, 0, -1, 0 }, 270.00000, 0.00017, 0.028 }, + { 0, { 4, 0, 0, 0 }, 270.00000, 0.00002, 0.020 }, + { 1, { -6, 0, 1, -1 }, 90.00094, 0.00002, 0.016 }, + { 1, { -6, 0, 2, -1 }, 90.00070, 0.00003, 0.021 }, + { 1, { -4, -1, 1, -1 }, 270.00094, 0.00003, 0.027 }, + { 1, { -4, 0, -1, -1 }, 90.00103, 0.00012, 0.016 }, + { 1, { -4, 0, -1, 1 }, 270.00027, 0.00005, 0.028 }, + { 1, { -4, 0, 0, -1 }, 90.00096, 0.00075, 0.020 }, + { 1, { -4, 0, 0, 1 }, 90.00086, 0.00040, 0.044 }, + { 1, { -4, 0, 1, -1 }, 90.00079, 0.00149, 0.028 }, + { 1, { -4, 0, 1, 1 }, 90.00079, 0.00027, 0.106 }, + { 1, { -4, 0, 2, -1 }, 90.00028, 0.00046, 0.043 }, + { 1, { -4, 0, 2, 1 }, 90.00067, 0.00008, 0.261 }, + { 1, { -4, 1, 0, -1 }, 90.00095, 0.00010, 0.021 }, + { 1, { -4, 1, 0, 1 }, 90.00072, 0.00005, 0.046 }, + { 1, { -4, 1, 1, -1 }, 90.00079, 0.00017, 0.028 }, + { 1, { -4, 1, 1, 1 }, 90.00072, 0.00002, 0.119 }, + { 1, { -4, 1, 2, -1 }, 90.00029, 0.00004, 0.045 }, + { 1, { -3, 0, 0, -1 }, 90.00092, 0.00008, 0.027 }, + { 1, { -3, 0, 0, 1 }, 270.00072, 0.00018, 0.097 }, + { 1, { -3, 0, 1, -1 }, 270.00069, 0.00007, 0.042 }, + { 1, { -2, -2, 1, -1 }, 270.00024, 0.00002, 0.074 }, + { 1, { -2, -1, -1, -1 }, 270.00109, 0.00014, 0.026 }, + { 1, { -2, -1, -1, 1 }, 90.00059, 0.00006, 0.082 }, + { 1, { -2, -1, 0, -1 }, 270.00097, 0.00096, 0.039 }, + { 1, { -2, -1, 0, 1 }, 90.00072, 0.00012, 0.949 }, + { 1, { -2, -1, 1, -1 }, 270.00047, 0.00044, 0.080 }, + { 1, { -2, -1, 1, 1 }, 90.00065, 0.00005, 0.070 }, + { 1, { -2, -1, 2, -1 }, 90.00072, 0.00002, 1.388 }, + { 1, { -2, 0, -3, -1 }, 90.00117, 0.00007, 0.015 }, + { 1, { -2, 0, -3, 1 }, 270.00047, 0.00003, 0.027 }, + { 1, { -2, 0, -2, -1 }, 90.00113, 0.00080, 0.019 }, + { 1, { -2, 0, -2, 1 }, 270.00044, 0.00044, 0.041 }, + { 1, { -2, 0, -1, -1 }, 90.00108, 0.00925, 0.026 }, + { 1, { -2, 0, -1, 1 }, 270.00046, 0.00617, 0.089 }, + { 1, { -2, 0, -1, 3 }, 90.00074, 0.00003, 0.064 }, + { 1, { -2, 0, 0, -1 }, 90.00096, 0.09554, 0.040 }, + { 1, { -2, 0, 0, 0 }, 180.00000, 0.00005, 0.088 }, + { 1, { -2, 0, 0, 1 }, 270.00079, 0.00854, 0.487 }, + { 1, { -2, 0, 1, -3 }, 270.00088, 0.00003, 0.026 }, + { 1, { -2, 0, 1, -1 }, 90.00028, 0.03855, 0.087 }, + { 1, { -2, 0, 1, 1 }, 270.00070, 0.00785, 0.065 }, + { 1, { -2, 0, 2, -3 }, 270.00030, 0.00002, 0.040 }, + { 1, { -2, 0, 2, -1 }, 90.00216, 0.00280, 0.581 }, + { 1, { -2, 0, 2, 1 }, 270.00071, 0.00040, 0.035 }, + { 1, { -2, 0, 3, -1 }, 90.00159, 0.00047, 0.067 }, + { 1, { -2, 0, 3, 1 }, 270.00091, 0.00002, 0.024 }, + { 1, { -2, 0, 4, -1 }, 90.00149, 0.00004, 0.035 }, + { 1, { -2, 1, -2, -1 }, 90.00112, 0.00007, 0.020 }, + { 1, { -2, 1, -2, 1 }, 270.00050, 0.00002, 0.043 }, + { 1, { -2, 1, -1, -1 }, 90.00109, 0.00069, 0.027 }, + { 1, { -2, 1, -1, 1 }, 270.00048, 0.00028, 0.098 }, + { 1, { -2, 1, 0, -1 }, 90.00096, 0.00657, 0.042 }, + { 1, { -2, 1, 0, 1 }, 270.00077, 0.00056, 0.327 }, + { 1, { -2, 1, 1, -1 }, 90.00029, 0.00160, 0.095 }, + { 1, { -2, 1, 1, 1 }, 270.00071, 0.00029, 0.061 }, + { 1, { -2, 1, 2, -1 }, 90.00227, 0.00011, 0.368 }, + { 1, { -2, 2, -1, -1 }, 90.00094, 0.00003, 0.028 }, + { 1, { -2, 2, 0, -1 }, 90.00095, 0.00032, 0.044 }, + { 1, { -2, 2, 0, 1 }, 270.00072, 0.00003, 0.247 }, + { 1, { -2, 2, 1, -1 }, 90.00030, 0.00005, 0.105 }, + { 1, { -1, -1, -1, -1 }, 90.00121, 0.00003, 0.037 }, + { 1, { -1, -1, 0, -1 }, 90.00107, 0.00018, 0.075 }, + { 1, { -1, -1, 0, 1 }, 270.00052, 0.00004, 0.075 }, + { 1, { -1, 0, -1, -1 }, 270.00128, 0.00018, 0.039 }, + { 1, { -1, 0, -1, 1 }, 270.00072, 0.00005, 0.857 }, + { 1, { -1, 0, 0, -1 }, 270.00137, 0.00063, 0.081 }, + { 1, { -1, 0, 0, 1 }, 90.00068, 0.00075, 0.069 }, + { 1, { -1, 0, 1, -1 }, 270.00123, 0.00014, 1.200 }, + { 1, { -1, 0, 1, 1 }, 90.00072, 0.00004, 0.036 }, + { 1, { -1, 0, 2, -1 }, 270.00129, 0.00006, 0.071 }, + { 1, { -1, 1, 0, -1 }, 269.99992, 0.00003, 0.088 }, + { 1, { 0, -2, -1, -1 }, 270.00137, 0.00002, 0.065 }, + { 1, { 0, -2, 1, -1 }, 270.00115, 0.00006, 0.089 }, + { 1, { 0, -1, -3, -1 }, 270.00127, 0.00002, 0.024 }, + { 1, { 0, -1, -2, -1 }, 270.00134, 0.00022, 0.036 }, + { 1, { 0, -1, -2, 1 }, 270.00073, 0.00003, 1.389 }, + { 1, { 0, -1, -1, -1 }, 270.00140, 0.00181, 0.070 }, + { 1, { 0, -1, -1, 1 }, 90.00162, 0.00010, 0.080 }, + { 1, { 0, -1, 0, -1 }, 90.00067, 0.00028, 0.949 }, + { 1, { 0, -1, 0, 1 }, 90.00087, 0.00013, 0.039 }, + { 1, { 0, -1, 1, -1 }, 270.00118, 0.00341, 0.082 }, + { 1, { 0, -1, 1, 1 }, 270.00000, 0.00003, 0.026 }, + { 1, { 0, -1, 2, -1 }, 270.00121, 0.00034, 0.039 }, + { 1, { 0, -1, 3, -1 }, 270.00127, 0.00003, 0.026 }, + { 1, { 0, 0, -4, -1 }, 90.00128, 0.00010, 0.019 }, + { 1, { 0, 0, -3, -1 }, 90.00128, 0.00150, 0.025 }, + { 1, { 0, 0, -3, 1 }, 270.00000, 0.00006, 0.077 }, + { 1, { 0, 0, -2, -1 }, 90.00128, 0.02469, 0.038 }, + { 1, { 0, 0, -2, 1 }, 90.00062, 0.00485, 3.574 }, + { 1, { 0, 0, -1, -1 }, 90.00128, 0.45276, 0.075 }, + { 1, { 0, 0, -1, 1 }, 270.00061, 0.08508, 0.074 }, + { 1, { 0, 0, 0, -3 }, 90.00067, 0.00012, 0.037 }, + { 1, { 0, 0, 0, -1 }, 90.00001, 0.02809, 18.613 }, + { 1, { 0, 0, 0, 0 }, 180.00000, 0.00025, 0.075 }, + { 1, { 0, 0, 0, 1 }, 90.00050, 0.00390, 0.037 }, + { 1, { 0, 0, 1, -3 }, 270.00037, 0.00108, 0.073 }, + { 1, { 0, 0, 1, -1 }, 270.00126, 0.45648, 0.076 }, + { 1, { 0, 0, 1, 1 }, 90.00024, 0.00025, 0.025 }, + { 1, { 0, 0, 2, -3 }, 270.00280, 0.00004, 2.582 }, + { 1, { 0, 0, 2, -1 }, 270.00126, 0.02488, 0.038 }, + { 1, { 0, 0, 2, 1 }, 90.00000, 0.00002, 0.019 }, + { 1, { 0, 0, 3, -1 }, 270.00126, 0.00153, 0.025 }, + { 1, { 0, 0, 3, 1 }, 270.00000, 0.00002, 0.015 }, + { 1, { 0, 0, 4, -1 }, 270.00126, 0.00010, 0.019 }, + { 1, { 0, 1, -3, -1 }, 90.00127, 0.00003, 0.026 }, + { 1, { 0, 1, -2, -1 }, 90.00134, 0.00027, 0.039 }, + { 1, { 0, 1, -2, 1 }, 90.00072, 0.00005, 0.781 }, + { 1, { 0, 1, -1, -1 }, 90.00143, 0.00218, 0.081 }, + { 1, { 0, 1, -1, 1 }, 270.00084, 0.00025, 0.069 }, + { 1, { 0, 1, 0, -1 }, 90.00080, 0.00024, 1.057 }, + { 1, { 0, 1, 0, 1 }, 90.00064, 0.00015, 0.036 }, + { 1, { 0, 1, 1, -1 }, 90.00116, 0.00279, 0.070 }, + { 1, { 0, 1, 2, -1 }, 90.00121, 0.00028, 0.036 }, + { 1, { 0, 1, 3, -1 }, 90.00127, 0.00002, 0.025 }, + { 1, { 0, 2, -1, -1 }, 90.00147, 0.00003, 0.088 }, + { 1, { 0, 2, 1, -1 }, 90.00120, 0.00003, 0.066 }, + { 1, { 1, -1, 0, -1 }, 90.00080, 0.00002, 0.088 }, + { 1, { 1, 0, -2, -1 }, 90.00180, 0.00003, 0.070 }, + { 1, { 1, 0, -1, -1 }, 269.99953, 0.00006, 1.063 }, + { 1, { 1, 0, -1, 1 }, 90.00072, 0.00002, 0.039 }, + { 1, { 1, 0, 0, -1 }, 90.00088, 0.00299, 0.081 }, + { 1, { 1, 0, 0, 1 }, 90.00051, 0.00002, 0.026 }, + { 1, { 1, 0, 1, -1 }, 90.00104, 0.00031, 0.039 }, + { 1, { 1, 0, 2, -1 }, 90.00090, 0.00002, 0.026 }, + { 1, { 1, 1, 0, -1 }, 270.00058, 0.00059, 0.075 }, + { 1, { 1, 1, 1, -1 }, 270.00085, 0.00005, 0.038 }, + { 1, { 2, -2, -1, -1 }, 270.00041, 0.00007, 0.106 }, + { 1, { 2, -2, 0, -1 }, 270.00093, 0.00036, 0.044 }, + { 1, { 2, -2, 1, -1 }, 270.00094, 0.00003, 0.028 }, + { 1, { 2, -1, -2, -1 }, 270.00281, 0.00008, 0.354 }, + { 1, { 2, -1, -2, 1 }, 270.00059, 0.00003, 0.042 }, + { 1, { 2, -1, -1, -1 }, 270.00042, 0.00218, 0.096 }, + { 1, { 2, -1, -1, 1 }, 270.00039, 0.00006, 0.027 }, + { 1, { 2, -1, 0, -1 }, 270.00092, 0.00745, 0.042 }, + { 1, { 2, -1, 0, 1 }, 270.00000, 0.00002, 0.020 }, + { 1, { 2, -1, 1, -1 }, 270.00105, 0.00075, 0.027 }, + { 1, { 2, -1, 2, -1 }, 270.00112, 0.00007, 0.020 }, + { 1, { 2, 0, -4, -1 }, 270.00148, 0.00004, 0.035 }, + { 1, { 2, 0, -3, -1 }, 270.00168, 0.00042, 0.066 }, + { 1, { 2, 0, -3, 1 }, 90.00024, 0.00006, 0.085 }, + { 1, { 2, 0, -2, -3 }, 270.00122, 0.00002, 0.035 }, + { 1, { 2, 0, -2, -1 }, 270.00300, 0.00177, 0.547 }, + { 1, { 2, 0, -2, 1 }, 270.00064, 0.00078, 0.040 }, + { 1, { 2, 0, -1, -3 }, 270.00120, 0.00018, 0.065 }, + { 1, { 2, 0, -1, -1 }, 270.00043, 0.05343, 0.088 }, + { 1, { 2, 0, -1, 1 }, 270.00062, 0.00059, 0.026 }, + { 1, { 2, 0, 0, -1 }, 270.00092, 0.10689, 0.041 }, + { 1, { 2, 0, 0, 1 }, 270.00095, 0.00002, 0.019 }, + { 1, { 2, 0, 1, -3 }, 90.00107, 0.00010, 0.090 }, + { 1, { 2, 0, 1, -1 }, 270.00105, 0.00992, 0.026 }, + { 1, { 2, 0, 2, -1 }, 270.00111, 0.00084, 0.020 }, + { 1, { 2, 0, 3, -1 }, 270.00115, 0.00007, 0.016 }, + { 1, { 2, 1, -2, -1 }, 90.00072, 0.00002, 1.208 }, + { 1, { 2, 1, -1, -1 }, 90.00008, 0.00016, 0.080 }, + { 1, { 2, 1, 0, -1 }, 90.00092, 0.00115, 0.039 }, + { 1, { 2, 1, 1, -1 }, 90.00104, 0.00016, 0.026 }, + { 1, { 2, 2, -1, -1 }, 90.00033, 0.00005, 0.074 }, + { 1, { 3, 0, -1, -1 }, 90.00070, 0.00012, 0.042 }, + { 1, { 3, 0, 0, -1 }, 270.00096, 0.00007, 0.027 }, + { 1, { 4, -1, -2, -1 }, 270.00042, 0.00006, 0.046 }, + { 1, { 4, -1, -1, -1 }, 270.00078, 0.00020, 0.028 }, + { 1, { 4, -1, 0, -1 }, 270.00093, 0.00011, 0.021 }, + { 1, { 4, 0, -2, -1 }, 270.00042, 0.00063, 0.044 }, + { 1, { 4, 0, -1, -1 }, 270.00078, 0.00176, 0.028 }, + { 1, { 4, 0, 0, -1 }, 270.00093, 0.00084, 0.020 }, + { 1, { 4, 0, 1, -1 }, 270.00105, 0.00013, 0.016 }, + { 1, { 4, 1, -1, -1 }, 90.00094, 0.00003, 0.027 }, + { 1, { 6, 0, -2, -1 }, 270.00070, 0.00003, 0.021 }, + { 1, { 6, 0, -1, -1 }, 270.00094, 0.00002, 0.016 }, + { 2, { -2, 0, -1, -2 }, 270.00000, 0.00005, 0.026 }, + { 2, { -2, 0, -1, 0 }, 90.00000, 0.00009, 0.089 }, + { 2, { -2, 0, 0, -2 }, 270.00000, 0.00047, 0.040 }, + { 2, { -2, 0, 0, 0 }, 90.00000, 0.00004, 0.500 }, + { 2, { -2, 0, 1, -2 }, 270.00000, 0.00019, 0.086 }, + { 2, { -2, 1, 0, -2 }, 270.00000, 0.00004, 0.042 }, + { 2, { 0, -1, 0, 0 }, 90.00000, 0.00002, 0.039 }, + { 2, { 0, 0, -2, -2 }, 270.00000, 0.00012, 0.038 }, + { 2, { 0, 0, -2, 0 }, 270.00000, 0.00005, 4.424 }, + { 2, { 0, 0, -1, -2 }, 270.00000, 0.00219, 0.075 }, + { 2, { 0, 0, -1, 0 }, 90.00000, 0.00077, 0.074 }, + { 2, { 0, 0, 0, -2 }, 270.00000, 0.00028, 9.307 }, + { 2, { 0, 0, 0, -1 }, 0.00000, 0.00003, 0.075 }, + { 2, { 0, 0, 0, 0 }, 90.00000, 0.00448, 0.037 }, + { 2, { 0, 0, 1, -2 }, 90.00000, 0.00223, 0.076 }, + { 2, { 0, 0, 1, 0 }, 90.00000, 0.00050, 0.025 }, + { 2, { 0, 0, 2, -2 }, 90.00000, 0.00012, 0.038 }, + { 2, { 0, 0, 2, 0 }, 90.00000, 0.00006, 0.019 }, + { 2, { 1, 0, 0, -2 }, 270.00000, 0.00002, 0.082 }, + { 2, { 1, 0, 0, 0 }, 90.00000, 0.00003, 0.026 }, + { 2, { 1, 1, 0, -2 }, 90.00000, 0.00004, 0.075 }, + { 2, { 2, -1, 0, -2 }, 90.00000, 0.00004, 0.042 }, + { 2, { 2, 0, -1, -2 }, 90.00000, 0.00032, 0.088 }, + { 2, { 2, 0, -1, 0 }, 90.00000, 0.00009, 0.026 }, + { 2, { 2, 0, 0, -2 }, 90.00000, 0.00056, 0.041 }, + { 2, { 2, 0, 0, 0 }, 90.00000, 0.00005, 0.019 }, + { 2, { 2, 0, 1, -2 }, 90.00000, 0.00005, 0.026 } +} }; + +constexpr array g_ELP7 +{ { + { 1, { -2, 0, 0, -1 }, 180.00000, 0.00003, 0.040 }, + { 1, { -2, 0, 0, 1 }, 180.00000, 0.00002, 0.487 }, + { 1, { -2, 0, 1, -1 }, 180.00000, 0.00002, 0.087 }, + { 1, { 0, 0, -2, -1 }, 180.00000, 0.00001, 0.038 }, + { 1, { 0, 0, -1, -1 }, 180.00000, 0.00021, 0.075 }, + { 1, { 0, 0, -1, 1 }, 180.00000, 0.00002, 0.074 }, + { 1, { 0, 0, 0, -1 }, 180.00000, 0.00300, 18.613 }, + { 1, { 0, 0, 0, 1 }, 180.00000, 0.00015, 0.037 }, + { 1, { 0, 0, 1, -1 }, 180.00000, 0.00021, 0.076 }, + { 1, { 0, 0, 1, 1 }, 180.00000, 0.00002, 0.025 }, + { 1, { 0, 0, 2, -1 }, 180.00000, 0.00002, 0.038 }, + { 1, { 2, 0, -1, -1 }, 180.00000, 0.00003, 0.088 }, + { 1, { 2, 0, 0, -1 }, 180.00000, 0.00004, 0.041 }, + { 2, { 0, 0, 0, -2 }, 0.00000, 0.00004, 9.307 } +} }; + +constexpr array g_ELP8 +{ { + { 1, { -2, 0, 0, 0 }, 180.00000, 0.00012, 0.088 }, + { 1, { -2, 0, 1, 0 }, 180.00000, 0.00003, 0.530 }, + { 1, { 0, 0, -1, -2 }, 180.00000, 0.00001, 0.037 }, + { 1, { 0, 0, -1, 0 }, 180.00000, 0.00019, 8.847 }, + { 1, { 0, 0, 0, -2 }, 180.00000, 0.00014, 0.074 }, + { 1, { 0, 0, 0, 0 }, 0.00000, 0.00342, 0.075 }, + { 1, { 0, 0, 1, 0 }, 0.00000, 0.00018, 0.038 }, + { 1, { 0, 0, 2, 0 }, 0.00000, 0.00001, 0.025 }, + { 1, { 2, 0, -1, 0 }, 0.00000, 0.00004, 0.040 }, + { 1, { 2, 0, 0, 0 }, 0.00000, 0.00002, 0.026 }, + { 2, { 0, 0, 0, -1 }, 180.00000, 0.00009, 0.075 } +} }; + +constexpr array g_ELP9 +{ { + { 0, { 0, 0, 0, 0 }, 270.00000, 0.00004, 99999.999 }, + { 1, { -2, 0, 0, -1 }, 270.00000, 0.00004, 0.040 }, + { 1, { -2, 0, 1, -1 }, 270.00000, 0.00002, 0.087 }, + { 1, { 0, 0, -1, -1 }, 270.00000, 0.00019, 0.075 }, + { 1, { 0, 0, -1, 1 }, 90.00000, 0.00003, 0.074 }, + { 1, { 0, 0, 1, -1 }, 90.00000, 0.00019, 0.076 }, + { 1, { 2, 0, -1, -1 }, 90.00000, 0.00002, 0.088 }, + { 1, { 2, 0, 0, -1 }, 90.00000, 0.00004, 0.041 } +} }; + +constexpr array g_ELP10 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 }, 359.99831, 0.00020, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 }, 359.98254, 0.00007, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 359.93674, 0.00962, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 }, 180.03508, 0.00002, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 }, 359.95864, 0.00048, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 }, 359.94375, 0.00005, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0 }, 180.00175, 0.00004, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 180.01810, 0.00071, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1 }, 97.01810, 0.00011, 0.949 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 180.01529, 0.00414, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 }, 248.64591, 0.00002, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1 }, 259.46800, 0.00001, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 180.01744, 0.00029, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0 }, 180.94522, 0.00001, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 0 }, 185.23351, 0.00003, 0.067 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2 }, 0.04208, 0.00001, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0 }, 0.07845, 0.00212, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 0.12204, 0.03726, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2 }, 180.10246, 0.00008, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2 }, 0.23669, 0.00024, 0.474 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 0.09994, 0.01585, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2 }, 180.11193, 0.00005, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -2 }, 180.01593, 0.00007, 0.090 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 }, 0.11688, 0.00135, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 }, 359.93335, 0.00009, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0 }, 180.12456, 0.00006, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, -1 }, 214.90087, 0.00001, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -3, 0 }, 0.56402, 0.00006, 0.103 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0 }, 0.12267, 0.00049, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, 0 }, 0.11476, 0.00057, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2 }, 0.02034, 0.00002, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0 }, 0.17048, 0.00020, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0 }, 0.11019, 0.00005, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 6, -1, 0 }, 0.12372, 0.00001, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0 }, 319.83798, 0.00002, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0 }, 49.17104, 0.00005, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0 }, 261.18864, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 }, 261.05178, 0.00031, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, 260.13667, 0.00074, 164.772 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 }, 261.05178, 0.00031, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0 }, 261.18864, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0 }, 47.39808, 0.00004, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 }, 314.65028, 0.00002, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 0 }, 153.55642, 0.00003, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0 }, 333.58419, 0.00015, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 }, 333.76745, 0.00035, 82.386 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0 }, 333.58419, 0.00015, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0 }, 153.55642, 0.00003, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 0, 0 }, 146.21801, 0.00007, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 1, 0 }, 255.18835, 0.00018, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 2, 0 }, 282.49407, 0.00002, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -2, 0 }, 101.05952, 0.00008, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0 }, 101.14709, 0.00125, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0 }, 95.09731, 0.00297, 4234.399 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0 }, 101.14709, 0.00125, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 2, 0 }, 94.53733, 0.00008, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, -2, 0 }, 282.49406, 0.00002, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, -1, 0 }, 255.29088, 0.00018, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, 0, 0 }, 146.45132, 0.00007, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 0 }, 184.37205, 0.00003, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0 }, 187.93148, 0.00017, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0 }, 173.34889, 0.00030, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0 }, 237.22913, 0.00003, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0 }, 240.14508, 0.00047, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 }, 242.32873, 0.00110, 84.021 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 }, 240.30167, 0.00047, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0 }, 237.20081, 0.00003, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 0 }, 175.30397, 0.00030, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 }, 189.59104, 0.00017, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 }, 186.06611, 0.00003, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0 }, 348.77302, 0.00001, 2117.199 }, + { { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0 }, 359.69428, 0.00005, 85.722 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, -2, 1, 0 }, 161.93169, 0.00002, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0 }, 341.87569, 0.00013, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 }, 341.49509, 0.00030, 42.010 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0 }, 341.87569, 0.00013, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 2, -1, 0 }, 161.93169, 0.00002, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 3, 0, 0, -1, 0 }, 152.66611, 0.00001, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0 }, 169.57246, 0.00002, 28.007 }, + { { 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0 }, 152.66611, 0.00001, 0.075 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, -2, 0, 0 }, 290.10491, 0.00001, 0.040 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, -2, 1, 0 }, 125.75292, 0.00001, 0.087 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 0, -1, 0 }, 306.44677, 0.00008, 0.075 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0 }, 312.56240, 0.00015, 568.851 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 0, 1, 0 }, 306.44677, 0.00008, 0.075 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 2, -1, 0 }, 125.75292, 0.00001, 0.087 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 2, 0, 0 }, 289.80972, 0.00001, 0.040 }, + { { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0 }, 271.99675, 0.00001, 98.581 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 0, 0 }, 267.90587, 0.00005, 0.020 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0 }, 268.66358, 0.00011, 0.028 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 2, 0 }, 269.91976, 0.00006, 0.044 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0 }, 268.03939, 0.00001, 0.027 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -2, 0 }, 266.75880, 0.00006, 0.020 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, 0 }, 266.27143, 0.00039, 0.026 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, 2 }, 87.84840, 0.00001, 0.090 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, -2 }, 267.94260, 0.00001, 0.019 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0 }, 267.68227, 0.00390, 0.040 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 2 }, 267.86053, 0.00008, 0.467 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0 }, 269.19797, 0.00584, 0.087 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 2 }, 87.84840, 0.00001, 0.065 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 2, 0 }, 272.36342, 0.00020, 0.553 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 }, 87.45204, 0.00012, 0.081 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0 }, 87.84840, 0.00002, 1.086 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0 }, 260.45677, 0.00003, 0.025 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0 }, 260.87968, 0.00058, 0.038 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -2 }, 81.50986, 0.00002, 0.025 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0 }, 260.78714, 0.00854, 0.076 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 2 }, 261.50986, 0.00001, 0.073 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 }, 260.21409, 0.01901, 29.457 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -2 }, 261.50986, 0.00001, 0.074 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 }, 260.75637, 0.00850, 0.075 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2 }, 81.50986, 0.00002, 0.025 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0 }, 260.82740, 0.00058, 0.038 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0 }, 260.37448, 0.00003, 0.025 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0 }, 87.24961, 0.00002, 1.172 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1 }, 66.17808, 0.00002, 0.981 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 }, 87.69139, 0.00010, 0.081 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, -2, 0 }, 272.85986, 0.00019, 0.575 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, -1, -2 }, 87.24969, 0.00001, 0.065 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, -1, 0 }, 268.86171, 0.00583, 0.087 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, -2 }, 267.23846, 0.00008, 0.482 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0 }, 267.10688, 0.00392, 0.040 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2 }, 267.15910, 0.00001, 0.019 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, -2 }, 87.24969, 0.00001, 0.089 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0 }, 266.09869, 0.00038, 0.026 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0 }, 266.30173, 0.00005, 0.019 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 3, -2, 0 }, 267.09052, 0.00001, 0.094 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0 }, 267.08441, 0.00001, 0.027 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 4, -2, 0 }, 269.49802, 0.00006, 0.043 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 4, -1, 0 }, 268.41974, 0.00011, 0.028 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0 }, 266.95444, 0.00005, 0.020 }, + { { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0 }, 211.80941, 0.00003, 31.066 }, + { { 0, 0, 0, 0, 0, 2, 0, 0, -2, -1, 0 }, 166.00397, 0.00004, 0.026 }, + { { 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0 }, 168.35859, 0.00022, 0.041 }, + { { 0, 0, 0, 0, 0, 2, 0, 0, -2, 1, 0 }, 162.80939, 0.00049, 0.088 }, + { { 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0 }, 164.04160, 0.00001, 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0.00001, 0.041 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -3, 2, -1 }, 24.75942, 0.00001, 0.088 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0 }, 2.88890, 0.00012, 0.082 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -2, 1, 0 }, 183.00504, 0.00007, 0.888 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, -1, 1 }, 205.04924, 0.00001, 2.461 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, 0, -1 }, 205.28899, 0.00002, 0.076 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, 0, 0 }, 2.43596, 0.00011, 4.173 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, 1, -1 }, 24.75992, 0.00114, 13.725 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, 2, -1 }, 24.76040, 0.00006, 0.075 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0 }, 182.98484, 0.00002, 0.072 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 0, -1, 0 }, 183.02988, 0.00035, 1.545 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0 }, 182.69471, 0.00024, 0.079 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 1, 0, -1 }, 24.82347, 0.00003, 0.087 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 1, 1, -1 }, 24.75992, 0.00001, 0.040 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 1.50649, 0.00003, 0.027 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 0, 0 }, 99.39311, 0.00002, 0.090 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 1, -2 }, 100.63105, 0.00005, 0.040 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 1, 0 }, 99.30534, 0.00002, 0.470 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 2, -2 }, 100.63105, 0.00005, 0.087 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, -2, 0 }, 99.28339, 0.00004, 0.078 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, -1, -2 }, 100.63105, 0.00002, 0.038 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0 }, 99.36455, 0.00073, 2.836 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 0, -2 }, 100.77271, 0.00016, 0.076 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 0, -1 }, 313.25341, 0.00002, 5.381 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 }, 279.29738, 0.00020, 0.073 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 1, -2 }, 100.63105, 0.00427, 52.370 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 2, -2 }, 100.73599, 0.00024, 0.075 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 3, -2 }, 100.63105, 0.00002, 0.038 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 1, -1, -1 }, 133.67317, 0.00002, 1.426 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 0, -2 }, 100.63105, 0.00005, 0.087 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 0, 0 }, 283.54026, 0.00002, 0.026 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 1, -2 }, 100.63105, 0.00005, 0.040 }, + { { 4, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0 }, 35.96047, 0.00002, 0.739 }, + { { 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0 }, 215.97147, 0.00002, 0.068 }, + { { 4, 0, -2, 0, 0, 0, 0, 0, 1, -1, -1 }, 52.05762, 0.00004, 3.346 }, + { { 4, 3, -10, 0, 0, 0, 0, 0, -2, 0, 0 }, 61.20913, 0.00002, 0.075 }, + { { 4, 3, -10, 0, 0, 0, 0, 0, -2, 1, 0 }, 332.74186, 0.00008, 312.886 }, + { { 4, 5, 0, 0, 0, 0, 0, 0, -2, 0, 0 }, 191.66472, 0.00003, 661.131 }, + { { 4, 6, -11, 0, 0, 0, 0, 0, 2, -1, -2 }, 135.17538, 0.00001, 560.934 }, + { { 4, 11, -23, 0, 0, 0, 0, 0, -2, 1, 0 }, 214.85098, 0.00004, 135.472 }, + { { 4, 13, -13, 0, 0, 0, 0, 0, -2, 0, 0 }, 22.16816, 0.00002, 374.117 }, + { { 4, 17, -31, 0, 0, 0, 0, 0, 0, -1, 0 }, 313.52255, 0.00001, 74.095 }, + { { 4, 21, -26, 0, 0, 0, 0, 0, -2, 0, 0 }, 21.64885, 0.00001, 145.805 }, + { { 4, 29, -39, 0, 0, 0, 0, 0, -2, 0, 0 }, 271.14764, 0.00002, 90.547 }, + { { 5, -32, 18, 0, 0, 0, 0, 0, 0, 1, 0 }, 257.06814, 0.00009, 1880.011 }, + { { 5, -14, 2, 0, 0, 0, 0, 0, 0, 0, 0 }, 335.89670, 0.00001, 319.437 }, + { { 5, -12, 12, 0, 0, 0, 0, 0, 0, -1, 0 }, 250.86844, 0.00003, 633.672 }, + { { 5, -4, -1, 0, 0, 0, 0, 0, 0, -2, 0 }, 111.03403, 0.00001, 0.075 }, + { { 5, -4, -1, 0, 0, 0, 0, 0, 0, -1, 0 }, 111.03403, 0.00021, 383.522 }, + { { 5, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0 }, 111.03403, 0.00001, 0.075 }, + { { 5, 0, -13, 7, 0, 0, 0, 0, -2, 0, 0 }, 303.08124, 0.00003, 0.075 }, + { { 5, 0, -13, 7, 0, 0, 0, 0, -2, 1, 0 }, 303.08124, 0.00053, 1971.354 }, + { { 5, 0, -13, 7, 0, 0, 0, 0, -2, 2, 0 }, 303.08124, 0.00003, 0.075 }, + { { 5, 0, -8, 0, 0, 0, 0, 0, 0, -1, 0 }, 214.19978, 0.00002, 2.019 }, + { { 5, 0, -7, 0, 0, 0, 0, 0, 0, -1, 0 }, 322.55127, 0.00006, 1.981 }, + { { 5, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0 }, 142.90780, 0.00003, 0.073 }, + { { 5, 0, -6, 0, 0, 0, 0, 0, 0, -1, 0 }, 73.66632, 0.00002, 0.665 }, + { { 5, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0 }, 246.33393, 0.00003, 0.068 }, + { { 5, 0, -6, 0, 0, 0, 0, 0, 2, 0, 0 }, 252.40635, 0.00001, 0.025 }, + { { 5, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0 }, 3.42225, 0.00001, 0.025 }, + { { 5, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 283.79840, 0.00001, 0.024 }, + { { 5, 4, -14, 0, 0, 0, 0, 0, 0, -1, 0 }, 188.67468, 0.00002, 147.212 }, + { { 6, -39, 27, 0, 0, 0, 0, 0, 2, -1, 0 }, 18.43578, 0.00006, 892.417 }, + { { 6, -31, 14, 0, 0, 0, 0, 0, 2, -1, 0 }, 97.57590, 0.00001, 326.268 }, + { { 6, 0, -3, 0, 0, 0, 0, 0, -5, 2, 1 }, 155.15702, 0.00005, 352.558 }, + { { 6, 0, 0, 0, -2, 0, 0, 0, -2, -1, 0 }, 231.51527, 0.00001, 0.075 }, + { { 6, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0 }, 231.51527, 0.00026, 155.167 }, + { { 6, 0, 0, 0, -2, 0, 0, 0, -2, 1, 0 }, 231.51527, 0.00001, 0.075 }, + { { 6, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 }, 235.02094, 0.00001, 0.076 }, + { { 6, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0 }, 235.02094, 0.00024, 5.713 }, + { { 6, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0 }, 235.02094, 0.00001, 0.074 }, + { { 7, 0, -6, 0, 0, 0, 0, 0, -2, 0, 0 }, 280.64524, 0.00002, 0.598 }, + { { 7, 0, -5, 0, 0, 0, 0, 0, -2, 0, 0 }, 208.70560, 0.00010, 1.486 }, + { { 7, 0, -4, 0, -4, 0, 0, 0, -2, 0, 0 }, 41.48953, 0.00003, 99.278 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, -1, 0 }, 138.00381, 0.00001, 0.077 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0 }, 138.00381, 0.00025, 3.057 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, 1, 0 }, 138.00381, 0.00001, 0.074 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, 2, -2 }, 137.63269, 0.00002, 157.008 }, + { { 7, 0, -3, 0, 0, 0, 0, 0, -1, 0, -1 }, 83.20050, 0.00003, 3.658 }, + { { 8, -4, -2, 0, 0, 0, 0, 0, -2, 0, 0 }, 31.09549, 0.00003, 43.751 }, + { { 8, 0, -9, 0, 0, 0, 0, 0, -2, 0, 0 }, 261.32095, 0.00002, 1.920 }, + { { 8, 0, -9, 1, 0, 0, 0, 0, -2, 0, 0 }, 7.56929, 0.00002, 91.577 }, + { { 8, 4, -15, 0, 0, 0, 0, 0, -2, 0, 0 }, 233.87755, 0.00001, 53.558 }, + { { 9, -19, 5, 0, 0, 0, 0, 0, -2, 1, 0 }, 104.65047, 0.00002, 467.061 }, + { { 9, -3, -21, 0, 0, 0, 0, 0, -2, 1, 0 }, 220.49519, 0.00001, 95.129 }, + { { 9, -1, -11, 0, 0, 0, 0, 0, -2, 0, 0 }, 72.25700, 0.00006, 172.311 }, + { { 10, 0, -12, -9, 0, 0, 0, 0, -2, 0, 0 }, 352.79254, 0.00001, 574.613 }, + { { 11, 0, -22, 2, 0, 0, 0, 0, -2, 0, 0 }, 113.75419, 0.00005, 890.800 }, + { { 12, 0, -12, 0, 2, 0, 0, 0, -2, -1, 0 }, 207.32678, 0.00017, 2204.260 }, + { { 17, 0, -22, 0, 0, 0, 0, 0, -5, 1, 0 }, 332.53824, 0.00002, 411.722 } +} }; + +constexpr array g_ELP11 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 }, 179.93197, 0.00068, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 }, 359.92861, 0.00007, 5.997 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 }, 359.97739, 0.00040, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1 }, 359.99484, 0.00003, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 }, 359.97313, 0.00006, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1 }, 359.89152, 0.00001, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1 }, 180.03960, 0.00001, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 356.53630, 0.00002, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1 }, 180.03960, 0.00001, 0.080 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1 }, 180.01772, 0.00018, 0.949 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 76.40971, 0.00052, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 }, 180.01674, 0.00019, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 45.97098, 0.00007, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1 }, 180.66992, 0.00001, 0.622 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 }, 0.06750, 0.00015, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 }, 0.09788, 0.00143, 0.515 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1 }, 0.10790, 0.00162, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1 }, 0.14435, 0.00321, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 }, 0.12799, 0.00081, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1 }, 0.15148, 0.00021, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1 }, 0.14122, 0.00010, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0 }, 34.89815, 0.00007, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0 }, 34.89815, 0.00006, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 1 }, 0.12097, 0.00003, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, -1 }, 0.11370, 0.00008, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, 1 }, 0.10938, 0.00004, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1 }, 0.11543, 0.00005, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1 }, 0.10670, 0.00001, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1 }, 261.18864, 0.00001, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1 }, 261.18864, 0.00001, 5.786 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1 }, 261.18864, 0.00001, 6.223 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1 }, 261.18864, 0.00001, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, -1 }, 99.71523, 0.00005, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, 1 }, 102.00892, 0.00005, 6.005 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1 }, 330.59903, 0.00003, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1 }, 330.59903, 0.00003, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, -1 }, 102.00892, 0.00005, 5.988 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1 }, 99.71523, 0.00005, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 1 }, 184.37205, 0.00004, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1 }, 236.39187, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1 }, 236.39187, 0.00002, 5.597 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1 }, 236.39187, 0.00002, 6.458 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 }, 236.39187, 0.00002, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, -1 }, 186.06606, 0.00004, 0.088 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, -1 }, 267.93817, 0.00001, 0.020 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, -1 }, 267.93448, 0.00003, 0.019 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, 1 }, 266.91265, 0.00008, 0.041 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, -1 }, 267.32323, 0.00021, 0.026 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1 }, 267.41538, 0.00101, 0.089 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{ { 6, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1 }, 235.02094, 0.00001, 0.074 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, 0, -1 }, 138.00381, 0.00001, 0.076 }, + { { 7, 0, -4, 0, 0, 0, 0, 0, -2, 0, 1 }, 138.00381, 0.00001, 0.073 } +} }; + +constexpr array g_ELP12 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, 90.00000, 0.02045, 99999.999 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 }, 270.01562, 0.00037, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 }, 89.99679, 0.00010, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 269.93968, 0.00720, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 }, 269.94077, 0.00028, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0 }, 270.00276, 0.00004, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 270.01112, 0.00025, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 90.01711, 0.00343, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 90.01715, 0.00021, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0 }, 90.08025, 0.00203, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 }, 90.14419, 0.00007, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 270.10502, 0.03074, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 270.07659, 0.01960, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -2 }, 90.02518, 0.00004, 0.090 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 }, 270.11156, 0.00124, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 }, 269.93283, 0.00010, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0 }, 90.03445, 0.00007, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0 }, 270.04164, 0.00010, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0 }, 270.12246, 0.00034, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, 0 }, 270.18153, 0.00047, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0 }, 270.13595, 0.00018, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0 }, 49.83798, 0.00005, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0 }, 171.18864, 0.00004, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 }, 351.05178, 0.00029, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 }, 171.05178, 0.00029, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0 }, 311.68508, 0.00004, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 }, 224.65041, 0.00005, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 0 }, 243.55642, 0.00002, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0 }, 63.58419, 0.00014, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0 }, 243.58419, 0.00014, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0 }, 63.55642, 0.00002, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 0, 0 }, 245.69512, 0.00012, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 1, 0 }, 348.85483, 0.00015, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, -2, 2, 0 }, 192.20133, 0.00002, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -2, 0 }, 192.00892, 0.00005, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0 }, 191.14709, 0.00115, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0 }, 11.14709, 0.00115, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 0, 2, 0 }, 12.00892, 0.00005, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, -2, 0 }, 12.20132, 0.00002, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, -1, 0 }, 168.93620, 0.00015, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, -2, 2, 0, 0 }, 65.99758, 0.00012, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0 }, 277.86427, 0.00022, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0 }, 258.86594, 0.00021, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0 }, 327.31563, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0 }, 331.47933, 0.00042, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 }, 151.55912, 0.00043, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0 }, 147.28441, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, 0 }, 80.93914, 0.00021, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 }, 99.52340, 0.00022, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0 }, 71.93169, 0.00010, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0 }, 251.93169, 0.00010, 0.075 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 0, -1, 0 }, 35.75292, 0.00007, 0.075 }, + { { 0, 0, 0, 0, 0, 1, -3, 0, 0, 1, 0 }, 215.75292, 0.00007, 0.075 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 0, 0 }, 357.85025, 0.00005, 0.020 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 1, 0 }, 357.83516, 0.00016, 0.028 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -4, 2, 0 }, 357.71244, 0.00005, 0.044 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, 0 }, 356.32430, 0.00036, 0.026 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0 }, 357.69043, 0.00487, 0.040 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0 }, 359.14932, 0.00469, 0.087 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -2, 2, 0 }, 182.84467, 0.00022, 0.553 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0 }, 177.44541, 0.00011, 0.081 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0 }, 350.50556, 0.00002, 0.025 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0 }, 350.84334, 0.00043, 0.038 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0 }, 350.76811, 0.00785, 0.076 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 2 }, 171.50986, 0.00003, 0.073 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 }, 168.62060, 0.00008, 29.457 }, + { { 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -2 }, 351.50986, 0.00003, 0.074 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0.00013, 0.087 }, + { { 1, 0, -10, 11, 0, 0, 0, 0, 2, 0, 0 }, 36.93434, 0.00009, 0.040 }, + { { 1, 0, -6, 0, 0, 0, 0, 0, -2, 1, 0 }, 218.87340, 0.00003, 0.075 }, + { { 1, 0, -6, 0, 0, 0, 0, 0, -2, 3, 0 }, 38.87340, 0.00003, 0.076 }, + { { 1, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0 }, 230.55205, 0.00005, 0.042 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, -2, -1, 0 }, 299.54950, 0.00004, 0.026 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0 }, 299.64234, 0.00044, 0.041 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, -2, 1, 0 }, 298.90242, 0.00032, 0.088 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0 }, 300.60085, 0.00003, 0.038 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, -1, 0 }, 301.82419, 0.00063, 0.076 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0 }, 123.25105, 0.00004, 6.575 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, 1, 0 }, 121.98001, 0.00062, 0.075 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, 2, 0 }, 122.20501, 0.00003, 0.038 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 2, -1, 0 }, 120.19733, 0.00029, 0.086 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 120.44267, 0.00033, 0.040 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, -2, -1, 0 }, 226.64050, 0.00006, 0.027 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, -2, 0, 0 }, 226.64537, 0.00049, 0.042 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, -2, 1, 0 }, 226.65645, 0.00025, 0.097 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0 }, 226.85471, 0.00022, 0.083 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 }, 47.28221, 0.00010, 0.868 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 0, 1, 0 }, 47.14394, 0.00020, 0.069 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 1, -1, -1 }, 19.96838, 0.00002, 0.076 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 1, 1, -1 }, 199.96838, 0.00002, 0.075 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 2, -1, 0 }, 48.61684, 0.00015, 0.079 }, + { { 1, 0, -3, 0, 0, 0, 0, 0, 2, 0, 0 }, 48.59945, 0.00016, 0.039 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0 }, 2.38131, 0.00021, 0.044 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, -2, 1, 0 }, 357.20559, 0.00005, 0.107 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0 }, 347.31603, 0.00017, 0.090 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0 }, 352.12411, 0.00006, 0.465 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0 }, 337.91554, 0.00003, 0.065 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0 }, 165.67983, 0.00007, 2.645 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 2, -1, -2 }, 167.59292, 0.00007, 0.076 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0 }, 345.75638, 0.00115, 0.073 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0 }, 174.36265, 0.00012, 0.037 }, + { { 1, 0, -2, 0, 0, 0, 0, 0, 2, 1, -2 }, 347.59292, 0.00007, 0.075 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0 }, 94.87168, 0.00009, 0.046 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0 }, 268.28031, 0.00003, 0.099 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 }, 88.66698, 0.00011, 0.317 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0 }, 88.28031, 0.00003, 0.061 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, 2, -1, 0 }, 88.12267, 0.00013, 0.068 }, + { { 1, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0 }, 268.03358, 0.00013, 0.036 }, + { { 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0 }, 22.07596, 0.00007, 0.049 }, + { { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, 200.78829, 0.00003, 0.241 }, + { { 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 11.64758, 0.00005, 0.035 }, + { { 1, 1, -4, 0, 0, 0, 0, 0, 2, -3, 0 }, 72.10263, 0.00003, 0.075 }, + { { 1, 1, -4, 0, 0, 0, 0, 0, 2, -1, 0 }, 252.10263, 0.00003, 0.075 }, + { { 1, 15, -17, 0, 0, 0, 0, 0, -2, 0, 0 }, 166.83770, 0.00002, 0.076 }, + { { 1, 15, -17, 0, 0, 0, 0, 0, -2, 2, 0 }, 346.83770, 0.00002, 0.075 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, -3, 1, -1 }, 94.34116, 0.00004, 0.040 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, -3, 2, -1 }, 94.34116, 0.00003, 0.087 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, -1, 0, -1 }, 92.38969, 0.00018, 0.075 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, -1, 2, -1 }, 272.38969, 0.00018, 0.075 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, 1, 0, -1 }, 274.34116, 0.00003, 0.087 }, + { { 1, 15, -16, 0, 0, 0, 0, 0, 1, 1, -1 }, 274.34116, 0.00004, 0.040 }, + { { 2, -30, 29, 0, 0, 0, 0, 0, 2, -2, 0 }, 81.36750, 0.00002, 0.076 }, + { { 2, -30, 29, 0, 0, 0, 0, 0, 2, 0, 0 }, 261.36750, 0.00002, 0.075 }, + { { 2, -24, 21, 0, 0, 0, 0, 0, 4, -4, 0 }, 117.44429, 0.00003, 0.075 }, + { { 2, -24, 21, 0, 0, 0, 0, 0, 4, -2, 0 }, 297.44429, 0.00003, 0.075 }, + { { 2, -4, 0, 0, 0, 0, 0, 0, 2, -3, 0 }, 44.45685, 0.00003, 0.076 }, + { { 2, -4, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 224.45685, 0.00003, 0.075 }, + { { 2, -2, -7, 0, 0, 0, 0, 0, -2, 1, 0 }, 3.69942, 0.00003, 0.074 }, + { { 2, -2, -7, 0, 0, 0, 0, 0, -2, 3, 0 }, 183.69942, 0.00003, 0.076 }, + { { 2, -2, -4, 0, 0, 0, 0, 0, 1, -1, -1 }, 203.79542, 0.00014, 0.075 }, + { { 2, -2, -4, 0, 0, 0, 0, 0, 1, 1, -1 }, 23.79542, 0.00014, 0.075 }, + { { 2, 0, -4, 0, 0, 0, 0, 0, 2, -1, 0 }, 230.50891, 0.00004, 0.063 }, + { { 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 50.51950, 0.00007, 0.034 }, + { { 2, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 }, 341.81416, 0.00006, 0.189 }, + { { 2, 0, -3, 0, 0, 0, 0, 0, 2, -1, 0 }, 340.90166, 0.00009, 0.060 }, + { { 2, 0, -3, 0, 0, 0, 0, 0, 2, 0, 0 }, 160.90172, 0.00006, 0.033 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0 }, 270.22536, 0.00013, 0.054 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0 }, 270.04805, 0.00003, 0.144 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0 }, 90.38851, 0.00018, 0.159 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0 }, 90.04805, 0.00003, 0.051 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, 2, -1, 0 }, 89.89230, 0.00015, 0.056 }, + { { 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0 }, 269.91129, 0.00017, 0.032 }, + { { 2, 13, -18, 0, 0, 0, 0, 0, -2, 0, 0 }, 129.86755, 0.00002, 0.075 }, + { { 2, 13, -18, 0, 0, 0, 0, 0, -2, 2, 0 }, 309.86755, 0.00002, 0.076 }, + { { 3, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0 }, 51.06433, 0.00004, 0.031 }, + { { 3, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0 }, 162.96838, 0.00004, 0.061 }, + { { 3, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0 }, 342.27346, 0.00004, 0.118 }, + { { 3, 0, -4, 0, 0, 0, 0, 0, 2, -1, 0 }, 341.19809, 0.00003, 0.050 }, + { { 3, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 161.19807, 0.00011, 0.030 }, + { { 3, 0, -3, 0, 0, 0, 0, 0, -2, 0, 0 }, 271.31095, 0.00012, 0.065 }, + { { 3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 }, 91.37743, 0.00014, 0.106 }, + { { 3, 0, -3, 0, 0, 0, 0, 0, 2, -1, 0 }, 90.44552, 0.00005, 0.048 }, + { { 3, 0, -3, 0, 0, 0, 0, 0, 2, 0, 0 }, 270.44548, 0.00018, 0.029 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, -3, 0, 1 }, 42.75570, 0.00002, 0.076 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, -3, 2, 1 }, 222.75570, 0.00002, 0.075 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0 }, 185.68887, 0.00011, 0.070 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0 }, 8.27120, 0.00005, 0.096 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0 }, 109.50229, 0.00003, 0.042 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0 }, 193.75221, 0.00005, 0.028 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -4, 0, 0 }, 186.56536, 0.00004, 0.026 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -4, 1, 0 }, 186.56536, 0.00042, 0.040 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -4, 2, 0 }, 186.65436, 0.00026, 0.087 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, -1, 0 }, 186.29492, 0.00012, 0.038 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0 }, 186.29492, 0.00216, 0.075 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 1, 0 }, 5.86444, 0.00004, 39.271 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 2, 0 }, 6.48023, 0.00151, 0.076 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 3, 0 }, 6.48023, 0.00008, 0.038 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 }, 7.29777, 0.00014, 0.087 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0 }, 6.56536, 0.00042, 0.040 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0 }, 6.56536, 0.00004, 0.026 }, + { { 3, 0, 0, 0, 0, 0, 0, 0, -4, 1, 0 }, 83.62843, 0.00003, 0.042 }, + { { 3, 0, 7, -15, 0, 0, 0, 0, -4, 1, 0 }, 83.96206, 0.00002, 0.040 }, + { { 3, 0, 7, -15, 0, 0, 0, 0, -2, 0, 0 }, 83.96206, 0.00008, 0.075 }, + { { 3, 0, 7, -15, 0, 0, 0, 0, -2, 2, 0 }, 263.96206, 0.00008, 0.075 }, + { { 3, 0, 7, -15, 0, 0, 0, 0, 0, 1, 0 }, 263.96206, 0.00002, 0.040 }, + { { 4, -15, 6, 0, 0, 0, 0, 0, -2, 1, 0 }, 100.24706, 0.00010, 0.075 }, + { { 4, -15, 6, 0, 0, 0, 0, 0, -2, 3, 0 }, 280.24706, 0.00010, 0.075 }, + { { 4, -5, 3, 0, 0, 0, 0, 0, -4, 1, 0 }, 120.68945, 0.00002, 0.040 }, + { { 4, -5, 3, 0, 0, 0, 0, 0, -2, 0, 0 }, 120.68945, 0.00008, 0.075 }, + { { 4, -5, 3, 0, 0, 0, 0, 0, -2, 2, 0 }, 300.68945, 0.00008, 0.075 }, + { { 4, -5, 3, 0, 0, 0, 0, 0, 0, 1, 0 }, 300.68945, 0.00002, 0.040 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, -4, 1, 0 }, 163.47726, 0.00004, 0.041 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, -4, 2, 0 }, 163.47059, 0.00002, 0.088 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, -2, 0, 0 }, 343.74934, 0.00018, 0.076 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, -2, 2, 0 }, 343.48383, 0.00015, 0.075 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0 }, 342.73085, 0.00013, 0.086 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, 0, 1, 0 }, 343.47726, 0.00004, 0.040 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0 }, 161.68534, 0.00005, 0.028 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0 }, 92.98944, 0.00008, 0.082 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, -1, 2, -1 }, 294.76028, 0.00006, 0.075 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0 }, 92.68180, 0.00018, 0.079 }, + { { 4, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0 }, 271.50632, 0.00007, 0.027 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 0, 0 }, 189.34229, 0.00004, 0.090 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 1, -2 }, 190.63105, 0.00006, 0.040 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, -2, 2, -2 }, 190.63105, 0.00004, 0.087 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, -2, 0 }, 189.28315, 0.00004, 0.078 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 0, -2 }, 190.77267, 0.00014, 0.076 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 }, 189.33814, 0.00020, 0.073 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, 2, -2 }, 10.73601, 0.00022, 0.075 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 0, -2 }, 10.63105, 0.00004, 0.087 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 0, 0 }, 193.54097, 0.00004, 0.026 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 2, 1, -2 }, 10.63105, 0.00006, 0.040 }, + { { 5, 0, -13, 7, 0, 0, 0, 0, -2, 0, 0 }, 33.08124, 0.00003, 0.075 }, + { { 5, 0, -13, 7, 0, 0, 0, 0, -2, 2, 0 }, 213.08124, 0.00003, 0.075 }, + { { 5, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0 }, 52.90780, 0.00003, 0.073 } +} }; + +constexpr array g_ELP13 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, 270.00000, 0.00011, 99999.999 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 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0, -2, 0, 0 }, 124.21148, 0.00001, 2.148 }, + { { 0, 42, -43, 0, 0, 0, 0, 0, -2, 0, 0 }, 96.55005, 0.00001, 1.871 }, + { { 0, 42, -43, 0, 0, 0, 0, 0, -1, 0, -1 }, 20.53949, 0.00002, 1.926 }, + { { 0, 42, -42, 0, 0, 0, 0, 0, -1, 0, -1 }, 292.60330, 0.00002, 2.080 }, + { { 0, 43, -46, 0, 0, 0, 0, 0, -2, 0, 0 }, 211.27677, 0.00001, 1.191 }, + { { 0, 43, -45, 0, 0, 0, 0, 0, -2, 0, 0 }, 264.56372, 0.00004, 6.250 }, + { { 0, 43, -44, 0, 0, 0, 0, 0, -2, 0, 0 }, 132.50076, 0.00002, 0.862 }, + { { 0, 43, -44, 0, 0, 0, 0, 0, -1, 0, -1 }, 343.39930, 0.00002, 9.413 }, + { { 0, 43, -42, 0, 0, 0, 0, 0, 1, 0, -3 }, 175.49236, 0.00007, 773.987 }, + { { 0, 44, -47, 0, 0, 0, 0, 0, -2, 0, 0 }, 19.57494, 0.00002, 4.663 }, + { { 0, 44, -45, 0, 0, 0, 0, 0, 0, -2, 0 }, 234.69691, 0.00003, 86.878 }, + { { 0, 45, -49, 0, 0, 0, 0, 0, -2, 0, 0 }, 304.06344, 0.00002, 1.698 }, + { { 0, 45, -48, 0, 0, 0, 0, 0, -2, 0, 0 }, 155.22993, 0.00002, 2.433 }, + { { 0, 45, -47, 0, 0, 0, 0, 0, -1, 0, -1 }, 113.07128, 0.00001, 2.799 }, + { { 0, 46, -51, 0, 0, 0, 0, 0, -2, 0, 0 }, 248.47942, 0.00002, 1.038 }, + { { 0, 46, -50, 0, 0, 0, 0, 0, -2, 0, 0 }, 74.82605, 0.00004, 27.342 }, + { { 0, 47, -52, 0, 0, 0, 0, 0, -2, 0, 0 }, 66.66755, 0.00001, 2.959 }, + { { 0, 48, -54, 0, 0, 0, 0, 0, -2, 0, 0 }, 341.23629, 0.00002, 1.404 }, + { { 0, 48, -53, 0, 0, 0, 0, 0, -2, 0, 0 }, 18.59116, 0.00001, 3.477 }, + { { 0, 49, -55, 0, 0, 0, 0, 0, -2, 0, 0 }, 159.16878, 0.00003, 11.513 }, + { { 0, 50, -57, 0, 0, 0, 0, 0, -2, 0, 0 }, 70.62820, 0.00001, 2.168 }, + { { 0, 50, -56, 0, 0, 0, 0, 0, -2, 0, 0 }, 341.19301, 0.00002, 1.856 }, + { { 0, 51, -58, 0, 0, 0, 0, 0, -2, 0, 0 }, 249.61950, 0.00001, 6.091 }, + { { 0, 51, -55, 0, 0, 0, 0, 0, 1, 0, -3 }, 88.13621, 0.00002, 345.601 }, + { { 0, 52, -60, 0, 0, 0, 0, 0, -2, 0, 0 }, 158.61062, 0.00002, 4.755 }, + { { 0, 52, -58, 0, 0, 0, 0, 0, 0, -2, 0 }, 341.02755, 0.00003, 63.711 }, + { { 1, 0, -6, 0, 0, 0, 0, 0, -2, 1, 0 }, 191.14897, 0.00002, 0.075 }, + { { 1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0 }, 287.01148, 0.00002, 6.575 }, + { { 3, 0, -2, 0, 0, 0, 0, 0, -2, 1, 0 }, 42.97331, 0.00001, 0.975 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0 }, 320.84620, 0.00005, 0.075 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 1, 0 }, 218.71494, 0.00023, 39.271 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 2, 0 }, 218.36976, 0.00001, 0.076 }, + { { 4, 0, -5, 0, 0, 0, 0, 0, -2, 1, 0 }, 123.75027, 0.00004, 7.897 }, + { { 4, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0 }, 43.57579, 0.00001, 2.836 }, + { { 5, 0, -9, 0, 0, 0, 0, 0, -2, 1, 0 }, 289.23702, 0.00001, 3.588 }, + { { 7, 0, -5, 0, 0, 0, 0, 0, -2, 0, 0 }, 142.84581, 0.00002, 1.486 }, + { { 8, 0, -9, 0, 0, 0, 0, 0, -2, 0, 0 }, 7.63995, 0.00001, 1.920 }, + { { 8, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0 }, 114.91093, 0.00003, 2.087 }, + { { 9, 0, -13, 0, 0, 0, 0, 0, -2, 0, 0 }, 322.07377, 0.00001, 2.712 }, + { { 13, 0, -16, 0, 0, 0, 0, 0, -2, -1, 0 }, 214.04379, 0.00001, 62.252 } +} }; + +constexpr array g_ELP14 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 73.43578, 0.00010, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1 }, 277.11719, 0.00005, 0.088 }, + { { 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1 }, 300.69188, 0.00004, 0.089 }, + { { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 }, 354.55159, 0.00001, 0.075 }, + { { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 }, 354.55159, 0.00001, 0.074 }, + { { 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0 }, 4.02418, 0.00006, 0.080 }, + { { 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1 }, 300.72270, 0.00004, 0.088 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, -2, 1, -1 }, 259.58132, 0.00001, 0.040 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, -1, -1 }, 78.69282, 0.00006, 0.037 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, -1, 1 }, 79.58132, 0.00005, 6.038 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, -1 }, 270.67200, 0.00002, 0.074 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 1 }, 270.67200, 0.00002, 0.075 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, 1, -1 }, 79.58132, 0.00005, 5.956 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 0, 1, 1 }, 78.69282, 0.00006, 0.037 }, + { { 0, 0, 0, 0, 2, -5, 0, 0, 2, -1, 1 }, 259.58132, 0.00001, 0.040 }, + { { 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0 }, 55.07650, 0.00002, 0.080 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 1 }, 302.93944, 0.00003, 0.093 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0 }, 294.37462, 0.00005, 0.084 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 2 }, 114.37462, 0.00005, 0.067 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1 }, 120.03140, 0.00003, 0.078 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 }, 120.03140, 0.00003, 0.072 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -2 }, 230.49656, 0.00003, 0.072 }, + { { 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0 }, 12.94819, 0.00004, 0.078 }, + { { 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0 }, 159.71687, 0.00002, 0.088 }, + { { 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0 }, 15.74606, 0.00009, 0.074 }, + { { 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, -2 }, 72.48311, 0.00003, 0.078 }, + { { 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0 }, 338.59946, 0.00004, 0.072 }, + { { 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, -1 }, 193.96228, 0.00003, 0.077 }, + { { 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, -3 }, 102.78502, 0.00001, 0.075 }, + { { 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, -1 }, 43.30931, 0.00007, 0.074 }, + { { 0, 0, 0, 5, 0, 0, 0, 0, 2, 0, -1 }, 251.26340, 0.00002, 0.072 }, + { { 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, -1 }, 280.46229, 0.00006, 0.069 }, + { { 0, 0, 0, 7, 0, 0, 0, 0, 2, 0, -1 }, 129.65557, 0.00002, 0.067 }, + { { 0, 0, 1, -6, 0, 0, 0, 0, -2, 0, 1 }, 114.24115, 0.00003, 0.074 }, + { { 0, 0, 1, -5, 0, 0, 0, 0, -2, 0, 1 }, 135.82277, 0.00005, 0.077 }, + { { 0, 0, 1, -5, 0, 0, 0, 0, -2, 0, 3 }, 141.67736, 0.00001, 0.072 }, + { { 0, 0, 1, -5, 0, 0, 0, 0, -1, 0, 0 }, 166.19613, 0.00005, 0.071 }, + { { 0, 0, 1, -5, 0, 0, 0, 0, -1, 0, 2 }, 15.27608, 0.00002, 0.078 }, + { { 0, 0, 1, -4, 0, 0, 0, 0, -1, 0, 0 }, 83.24752, 0.00001, 0.074 }, + { { 0, 0, 1, -4, 0, 0, 0, 0, -1, 0, 2 }, 83.24752, 0.00001, 0.075 }, + { { 0, 0, 1, -3, 0, 0, 0, 0, -1, 0, 0 }, 109.85138, 0.00005, 0.077 }, + { { 0, 0, 1, -3, 0, 0, 0, 0, 1, 0, -2 }, 320.56658, 0.00001, 0.066 }, + { { 0, 0, 1, -3, 0, 0, 0, 0, 1, 0, 0 }, 320.56658, 0.00001, 0.085 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, -2, 0, 1 }, 52.92886, 0.00004, 0.088 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, -1, 0, 0 }, 128.11846, 0.00007, 0.080 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, -1 }, 46.38324, 0.00003, 0.037 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, 1 }, 40.62315, 0.00002, 9.672 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, -1 }, 40.62315, 0.00002, 4.346 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, 1 }, 46.38324, 0.00003, 0.038 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 1, 0, 0 }, 351.37034, 0.00004, 0.081 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 2, -1, -1 }, 54.18332, 0.00002, 0.499 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 2, -1, 1 }, 54.18332, 0.00002, 0.040 }, + { { 0, 0, 1, -2, 0, 0, 0, 0, 2, 0, -1 }, 54.14347, 0.00006, 0.089 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, -2, 0, 1 }, 273.70254, 0.00002, 0.092 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0 }, 122.13777, 0.00007, 0.084 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 2 }, 319.35503, 0.00002, 0.067 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1 }, 89.75374, 0.00004, 0.077 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1 }, 89.75374, 0.00004, 0.072 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0 }, 37.68611, 0.00002, 0.078 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, 2, 0, -3 }, 86.19431, 0.00002, 0.066 }, + { { 0, 0, 1, -1, 0, 0, 0, 0, 2, 0, -1 }, 266.19431, 0.00002, 0.085 }, + { { 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, -1 }, 30.47728, 0.00001, 0.079 }, + { { 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1 }, 30.47728, 0.00001, 0.071 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, -2, 0, -1 }, 43.95014, 0.00001, 0.027 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, -2, 0, 1 }, 43.94826, 0.00005, 0.095 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, 0 }, 342.04010, 0.00005, 0.087 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, 0 }, 153.54295, 0.00002, 17.980 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0 }, 333.54238, 0.00032, 0.076 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, 1, 1, 0 }, 333.54238, 0.00002, 0.038 }, + { { 0, 0, 1, 0, -2, 0, 0, 0, 2, 0, -1 }, 42.81746, 0.00002, 0.082 }, + { { 0, 0, 1, 0, -2, 5, 0, 0, 1, 0, 0 }, 141.26330, 0.00003, 0.075 }, + { { 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0 }, 164.86231, 0.00012, 0.075 }, + { { 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, 0 }, 14.88171, 0.00014, 0.075 }, + { { 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0 }, 273.50613, 0.00004, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 1 }, 183.12543, 0.00004, 0.097 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2 }, 101.83120, 0.00002, 0.026 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0 }, 302.39044, 0.00005, 0.088 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 2 }, 178.30350, 0.00001, 0.065 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0 }, 21.30072, 0.00004, 0.530 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1 }, 120.79923, 0.00006, 0.081 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 }, 120.79923, 0.00006, 0.069 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 1, -2, 0 }, 138.64316, 0.00003, 0.076 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0 }, 189.57541, 0.00007, 8.850 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0 }, 11.13687, 0.00132, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0 }, 9.57594, 0.00007, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, -3 }, 32.97163, 0.00002, 0.069 }, + { { 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, -1 }, 281.31434, 0.00006, 0.081 }, + { { 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 }, 340.86229, 0.00012, 0.075 }, + { { 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0 }, 136.95201, 0.00006, 0.074 }, + { { 0, 0, 1, 0, 1, -1, 0, 0, 1, 0, 0 }, 167.07365, 0.00002, 0.075 }, + { { 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 }, 177.16017, 0.00014, 0.074 }, + { { 0, 0, 1, 0, 2, -5, 0, 0, 1, 0, 0 }, 175.97986, 0.00008, 0.075 }, + { { 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0 }, 141.86655, 0.00017, 0.074 }, + { { 0, 0, 1, 0, 3, 0, 0, 0, 1, 0, 0 }, 140.11131, 0.00002, 0.073 }, + { { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1 }, 151.53581, 0.00002, 0.084 }, + { { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 }, 151.53581, 0.00002, 0.067 }, + { { 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0 }, 254.26327, 0.00003, 0.072 }, + { { 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, -2 }, 178.98604, 0.00002, 0.081 }, + { { 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0 }, 358.98604, 0.00002, 0.069 }, + { { 0, 0, 1, 2, 0, 0, 0, 0, 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0, -2, 0 }, 159.81455, 0.00002, 0.051 }, + { { 0, 19, -24, 0, 0, 0, 0, 0, 0, 0, 0 }, 159.81455, 0.00002, 0.145 }, + { { 0, 19, -23, 0, 0, 0, 0, 0, -2, 0, 0 }, 159.11865, 0.00004, 0.059 }, + { { 0, 19, -23, 0, 0, 0, 0, 0, -2, 2, 0 }, 71.47333, 0.00002, 0.104 }, + { { 0, 19, -21, 0, 0, 0, 0, 0, -2, 0, 0 }, 86.47166, 0.00005, 0.067 }, + { { 0, 19, -21, 0, 0, 0, 0, 0, -2, 2, 0 }, 167.64907, 0.00002, 0.086 }, + { { 0, 19, -20, 0, 0, 0, 0, 0, 0, -2, 0 }, 71.43673, 0.00002, 0.064 }, + { { 0, 19, -20, 0, 0, 0, 0, 0, 0, 0, 0 }, 251.43673, 0.00002, 0.092 }, + { { 0, 19, -20, 0, 0, 0, 0, 0, 2, 0, 0 }, 288.25192, 0.00005, 0.028 }, + { { 0, 19, -19, 0, 0, 0, 0, 0, -2, 0, 0 }, 55.14940, 0.00008, 0.078 }, + { { 0, 19, -19, 0, 0, 0, 0, 0, -1, 0, -1 }, 330.39388, 0.00004, 0.072 }, + { { 0, 19, -19, 0, 0, 0, 0, 0, 0, 0, 0 }, 333.79318, 0.00006, 0.084 }, + { { 0, 19, -18, 0, 0, 0, 0, 0, -2, 0, 0 }, 339.92076, 0.00007, 0.084 }, + { { 0, 19, -18, 0, 0, 0, 0, 0, -2, 2, 0 }, 304.23278, 0.00003, 0.068 }, + { { 0, 19, -18, 0, 0, 0, 0, 0, 0, -2, 0 }, 117.35099, 0.00002, 0.073 }, + { { 0, 19, -18, 0, 0, 0, 0, 0, 0, 0, 0 }, 29.22150, 0.00004, 0.078 }, + { { 0, 19, -17, 0, 0, 0, 0, 0, -2, 0, 0 }, 206.47472, 0.00005, 0.092 }, + { { 0, 19, -17, 0, 0, 0, 0, 0, 0, -2, 0 }, 8.40503, 0.00002, 0.079 }, + { { 0, 19, -17, 0, 0, 0, 0, 0, 0, 0, 0 }, 8.40503, 0.00002, 0.072 }, + { { 0, 20, -24, 0, 0, 0, 0, 0, -2, 0, 0 }, 159.55412, 0.00004, 0.062 }, + { { 0, 20, -24, 0, 0, 0, 0, 0, -2, 2, 0 }, 71.66850, 0.00002, 0.097 }, + { { 0, 20, -22, 0, 0, 0, 0, 0, -2, 0, 0 }, 225.85091, 0.00002, 0.070 }, + { { 0, 20, -22, 0, 0, 0, 0, 0, -2, 2, 0 }, 225.85091, 0.00002, 0.081 }, + { { 0, 20, -21, 0, 0, 0, 0, 0, -2, 0, 0 }, 204.20741, 0.00013, 0.076 }, + { { 0, 20, -21, 0, 0, 0, 0, 0, -2, 1, 0 }, 231.73897, 0.00033, 34.812 }, + { { 0, 20, -21, 0, 0, 0, 0, 0, -2, 2, 0 }, 322.76307, 0.00008, 0.075 }, + { { 0, 20, -21, 0, 0, 0, 0, 0, -1, 0, -1 }, 318.30622, 0.00004, 0.070 }, + { { 0, 20, -21, 0, 0, 0, 0, 0, 2, 0, 0 }, 288.22516, 0.00004, 0.028 }, + { { 0, 20, -20, 0, 0, 0, 0, 0, -1, 0, -1 }, 27.35671, 0.00004, 0.075 }, + { { 0, 20, -20, 0, 0, 0, 0, 0, -1, 2, -1 }, 207.35671, 0.00004, 0.076 }, + { { 0, 20, -20, 0, 0, 0, 0, 0, 0, -2, 0 }, 216.47465, 0.00002, 0.071 }, + { { 0, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0 }, 216.47465, 0.00002, 0.080 }, + { { 0, 20, -19, 0, 0, 0, 0, 0, -2, 0, 0 }, 350.78781, 0.00003, 0.089 }, + { { 0, 20, -19, 0, 0, 0, 0, 0, -1, 0, -1 }, 55.60871, 0.00005, 0.081 }, + { { 0, 20, -19, 0, 0, 0, 0, 0, 0, 0, 0 }, 238.77139, 0.00005, 0.074 }, + { { 0, 21, -26, 0, 0, 0, 0, 0, 0, 0, 0 }, 339.82269, 0.00003, 0.123 }, + { { 0, 21, -25, 0, 0, 0, 0, 0, -2, 0, 0 }, 153.12422, 0.00003, 0.064 }, + { { 0, 21, -25, 0, 0, 0, 0, 0, -2, 2, 0 }, 43.90455, 0.00003, 0.092 }, + { { 0, 21, -24, 0, 0, 0, 0, 0, -2, 0, 0 }, 291.38573, 0.00003, 0.068 }, + { { 0, 21, -22, 0, 0, 0, 0, 0, -2, 0, 0 }, 265.71080, 0.00005, 0.079 }, + { { 0, 21, -22, 0, 0, 0, 0, 0, -1, 0, -1 }, 17.14749, 0.00002, 0.073 }, + { { 0, 21, -22, 0, 0, 0, 0, 0, -1, 2, -1 }, 197.14749, 0.00002, 0.078 }, + { { 0, 21, -21, 0, 0, 0, 0, 0, 0, 0, 0 }, 155.73792, 0.00004, 0.076 }, + { { 0, 21, -20, 0, 0, 0, 0, 0, 1, 0, -1 }, 63.47623, 0.00004, 0.076 }, + { { 0, 22, -26, 0, 0, 0, 0, 0, -2, 0, 0 }, 121.82903, 0.00003, 0.067 }, + { { 0, 22, -25, 0, 0, 0, 0, 0, -2, 0, 0 }, 182.09559, 0.00006, 0.072 }, + { { 0, 22, -23, 0, 0, 0, 0, 0, -1, 0, -1 }, 157.15316, 0.00005, 0.077 }, + { { 0, 22, -23, 0, 0, 0, 0, 0, -1, 2, -1 }, 275.79970, 0.00002, 0.074 }, + { { 0, 22, -21, 0, 0, 0, 0, 0, 0, -2, 0 }, 244.36297, 0.00003, 0.085 }, + { { 0, 22, -21, 0, 0, 0, 0, 0, 0, 0, 0 }, 64.36297, 0.00003, 0.068 }, + { { 0, 23, -26, 0, 0, 0, 0, 0, -2, 0, 0 }, 169.62777, 0.00002, 0.075 }, + { { 0, 23, -26, 0, 0, 0, 0, 0, -2, 2, 0 }, 169.62777, 0.00002, 0.076 }, + { { 0, 23, -25, 0, 0, 0, 0, 0, -2, 0, 0 }, 313.33115, 0.00003, 0.081 }, + { { 0, 23, -25, 0, 0, 0, 0, 0, -2, 2, 0 }, 313.33115, 0.00003, 0.071 }, + { { 0, 23, -25, 0, 0, 0, 0, 0, -1, 0, -1 }, 84.08940, 0.00005, 0.075 }, + { { 0, 23, -24, 0, 0, 0, 0, 0, 0, 0, 0 }, 97.38663, 0.00007, 0.075 }, + { { 0, 23, -23, 0, 0, 0, 0, 0, 1, 0, -1 }, 203.56270, 0.00004, 0.075 }, + { { 0, 24, -28, 0, 0, 0, 0, 0, -2, 0, 0 }, 259.16347, 0.00002, 0.073 }, + { { 0, 24, -28, 0, 0, 0, 0, 0, -2, 2, 0 }, 259.16347, 0.00002, 0.078 }, + { { 0, 24, -27, 0, 0, 0, 0, 0, -2, 0, 0 }, 6.81221, 0.00005, 0.079 }, + { { 0, 24, -26, 0, 0, 0, 0, 0, 0, -2, 0 }, 265.30916, 0.00002, 0.074 }, + { { 0, 24, -26, 0, 0, 0, 0, 0, 0, 0, 0 }, 265.30916, 0.00002, 0.077 }, + { { 0, 24, -24, 0, 0, 0, 0, 0, 0, -2, 0 }, 344.48060, 0.00003, 0.087 }, + { { 0, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0 }, 344.48060, 0.00003, 0.067 }, + { { 0, 24, -23, 0, 0, 0, 0, 0, -2, 0, 0 }, 250.63022, 0.00002, 0.115 }, + { { 0, 24, -23, 0, 0, 0, 0, 0, -2, 2, 0 }, 70.63022, 0.00002, 0.056 }, + { { 0, 25, -30, 0, 0, 0, 0, 0, -2, 0, 0 }, 165.87580, 0.00002, 0.071 }, + { { 0, 25, -30, 0, 0, 0, 0, 0, -2, 2, 0 }, 345.87580, 0.00002, 0.081 }, + { { 0, 25, -29, 0, 0, 0, 0, 0, -2, 0, 0 }, 192.20447, 0.00005, 0.076 }, + { { 0, 25, -28, 0, 0, 0, 0, 0, 0, -2, 0 }, 307.92315, 0.00002, 0.072 }, + { { 0, 25, -28, 0, 0, 0, 0, 0, 0, 0, 0 }, 307.92315, 0.00002, 0.079 }, + { { 0, 26, -31, 0, 0, 0, 0, 0, -2, 0, 0 }, 276.43390, 0.00003, 0.074 }, + { { 0, 26, -31, 0, 0, 0, 0, 0, -2, 2, 0 }, 178.06691, 0.00002, 0.077 }, + { { 0, 26, -29, 0, 0, 0, 0, 0, 0, -2, 0 }, 352.00671, 0.00003, 0.075 }, + { { 0, 26, -29, 0, 0, 0, 0, 0, 0, 0, 0 }, 172.00671, 0.00003, 0.075 }, + { { 0, 26, -28, 0, 0, 0, 0, 0, 1, 0, -1 }, 109.48589, 0.00004, 0.076 }, + { { 0, 27, -32, 0, 0, 0, 0, 0, -2, 0, 0 }, 121.10728, 0.00002, 0.078 }, + { { 0, 27, -32, 0, 0, 0, 0, 0, -2, 2, 0 }, 121.10728, 0.00002, 0.073 }, + { { 0, 28, -33, 0, 0, 0, 0, 0, 0, -2, 0 }, 159.38922, 0.00002, 0.071 }, + { { 0, 28, -33, 0, 0, 0, 0, 0, 0, 0, 0 }, 159.38922, 0.00002, 0.080 }, + { { 0, 29, -34, 0, 0, 0, 0, 0, -2, 0, 0 }, 158.70547, 0.00006, 0.086 }, + { { 0, 29, -34, 0, 0, 0, 0, 0, -2, 2, 0 }, 341.19960, 0.00002, 0.067 }, + { { 0, 30, -36, 0, 0, 0, 0, 0, -2, 0, 0 }, 251.61633, 0.00005, 0.084 }, + { { 0, 31, -39, 0, 0, 0, 0, 0, -2, 0, 0 }, 244.72789, 0.00004, 0.075 }, + { { 0, 31, -39, 0, 0, 0, 0, 0, -2, 2, 0 }, 64.72789, 0.00004, 0.076 }, + { { 0, 31, -37, 0, 0, 0, 0, 0, 0, -2, 0 }, 251.59648, 0.00004, 0.076 }, + { { 0, 31, -37, 0, 0, 0, 0, 0, 0, 0, 0 }, 71.59648, 0.00004, 0.075 }, + { { 0, 34, -42, 0, 0, 0, 0, 0, 0, 0, 0 }, 245.43224, 0.00006, 0.075 }, + { { 3, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0 }, 63.34872, 0.00005, 0.075 } +} }; + +constexpr array g_ELP16 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 }, 180.00031, 0.00002, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 }, 359.99968, 0.00012, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 180.00567, 0.00963, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 }, 0.00000, 0.00002, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 }, 180.00006, 0.00065, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 }, 179.99986, 0.00005, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0 }, 153.73567, 0.00009, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 154.27480, 0.00135, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 155.76630, 0.00661, 1.000 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 154.62845, 0.00120, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0 }, 153.96248, 0.00008, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 336.25846, 0.00002, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 154.00745, 0.00008, 0.500 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 }, 155.89560, 0.00001, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0 }, 24.15517, 0.00001, 0.096 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 }, 24.15511, 0.00003, 0.530 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 }, 24.08286, 0.00031, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0 }, 23.35231, 0.00002, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 }, 0.00000, 0.00001, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, 346.96809, 0.00002, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0 }, 336.31637, 0.00003, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0 }, 165.16990, 0.00018, 8.850 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 }, 335.78680, 0.00159, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 }, 335.84492, 0.00011, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0 }, 210.91539, 0.00003, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0 }, 40.76689, 0.00017, 0.095 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0 }, 198.78197, 0.00017, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 }, 182.66055, 0.00001, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0 }, 180.00152, 0.00002, 0.067 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0 }, 179.99919, 0.00018, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -2 }, 359.99976, 0.00002, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0 }, 180.07400, 0.00181, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2 }, 359.99982, 0.00015, 0.474 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 }, 179.70982, 0.00043, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0 }, 179.99999, 0.00011, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -2, 0 }, 350.80827, 0.00001, 1.292 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 }, 335.90413, 0.00056, 0.080 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2 }, 335.92813, 0.00001, 0.903 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 }, 155.91133, 0.00007, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0 }, 155.90587, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0 }, 11.98593, 0.00002, 4.425 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0 }, 156.00589, 0.00024, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2 }, 180.00000, 0.00004, 9.300 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 }, 156.00396, 0.00002, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 0 }, 334.71131, 0.00002, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0 }, 335.83848, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0 }, 180.00003, 0.00002, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0 }, 180.00021, 0.00002, 0.028 }, + { { 0, 0, 1, 0, 0, 0, 0, -3, 0, -1, 1 }, 275.13149, 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95.13608, 0.00053, 0.026 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 1 }, 275.13151, 0.00146, 0.089 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1 }, 95.14482, 0.00080, 0.040 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1 }, 95.13222, 0.00851, 0.487 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 3 }, 275.13231, 0.00002, 0.035 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1 }, 275.13348, 0.00772, 0.087 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 1 }, 95.13089, 0.00006, 0.065 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 2, -1 }, 275.13413, 0.00094, 0.581 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 2, 1 }, 275.13215, 0.00008, 0.035 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 3, -1 }, 275.13430, 0.00010, 0.067 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 3, 1 }, 275.13228, 0.00001, 0.024 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 1, -1, -1 }, 95.13568, 0.00004, 0.027 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 1, -1, 1 }, 275.13157, 0.00008, 0.098 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, -1 }, 95.13903, 0.00010, 0.042 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 1 }, 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0, 0, 1, -1, -1, -1 }, 5.13544, 0.00021, 0.070 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1 }, 185.13386, 0.00002, 0.080 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1 }, 185.13227, 0.00004, 0.949 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1 }, 185.13228, 0.00003, 0.039 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1 }, 5.13404, 0.00046, 0.082 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, -1, 2, -1 }, 5.13427, 0.00004, 0.039 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -3, -1 }, 185.13456, 0.00019, 0.025 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, -1 }, 185.13459, 0.00311, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, 1 }, 185.13193, 0.00082, 3.575 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1 }, 185.13459, 0.05703, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1 }, 5.13190, 0.01447, 0.074 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1 }, 185.12989, 0.00183, 18.600 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1 }, 185.13309, 0.00035, 0.037 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -3 }, 185.13504, 0.00010, 0.073 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1 }, 5.13453, 0.05765, 0.076 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, -1 }, 5.13453, 0.00314, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, -1 }, 5.13456, 0.00019, 0.025 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, -2, -1 }, 185.13494, 0.00003, 0.039 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, -1 }, 185.13559, 0.00025, 0.081 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1 }, 5.13304, 0.00004, 0.069 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1 }, 185.13227, 0.00004, 1.057 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1 }, 185.13228, 0.00002, 0.036 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, -1 }, 185.13402, 0.00037, 0.070 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, -1 }, 185.13428, 0.00004, 0.036 }, + { { 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, -1 }, 185.13319, 0.00027, 0.081 }, + { { 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, -1 }, 185.13387, 0.00003, 0.039 }, + { { 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, -1 }, 5.13229, 0.00004, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, -1, -2, -1 }, 5.13433, 0.00004, 0.354 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, -1, -1, -1 }, 185.13438, 0.00015, 0.096 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, -1, 0, -1 }, 5.13469, 0.00035, 0.042 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, -1, 1, -1 }, 5.13457, 0.00006, 0.027 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -3, -1 }, 5.13451, 0.00009, 0.066 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -2, -1 }, 5.13456, 0.00091, 0.547 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -2, 1 }, 5.13187, 0.00014, 0.040 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, -1 }, 185.13456, 0.00351, 0.088 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, 1 }, 5.13183, 0.00011, 0.026 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1 }, 5.13469, 0.00503, 0.041 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 1, -1 }, 5.13462, 0.00076, 0.026 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 2, -1 }, 5.13470, 0.00007, 0.020 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 1, -1, -1 }, 5.13321, 0.00005, 0.080 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 1, 0, -1 }, 185.13451, 0.00006, 0.039 }, + { { 0, 0, 1, 0, 0, 0, 0, 5, 0, -2, -1 }, 185.13445, 0.00004, 0.044 }, + { { 0, 0, 1, 0, 0, 0, 0, 5, 0, -1, -1 }, 5.13227, 0.00002, 0.028 }, + { { 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, -1 }, 5.13472, 0.00004, 0.020 }, + { { 0, 8, -13, 0, 0, 0, 0, -2, 0, 0, 0 }, 324.68594, 0.00003, 0.040 }, + { { 0, 8, -13, 0, 0, 0, 0, 0, 0, -1, 0 }, 324.67709, 0.00003, 0.075 }, + { { 0, 8, -13, 0, 0, 0, 0, 0, 0, 1, 0 }, 144.67709, 0.00003, 0.075 }, + { { 0, 8, -13, 0, 0, 0, 0, 2, 0, 0, 0 }, 144.68611, 0.00003, 0.040 } +} }; + +constexpr array g_ELP19 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 }, 180.00000, 0.00002, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 }, 0.00000, 0.00011, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 0.00000, 0.00097, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 }, 0.00000, 0.00035, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 }, 0.00000, 0.00004, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 0 }, 0.00000, 0.00012, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -2 }, 180.00000, 0.00002, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 0 }, 0.00000, 0.00169, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2 }, 180.00000, 0.00013, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0 }, 0.00000, 0.02438, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 2 }, 180.00000, 0.00006, 0.750 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2 }, 180.00000, 0.00076, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 0.00000, 0.37115, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 2 }, 0.00000, 0.00020, 0.069 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 }, 180.00000, 0.00019, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 0.00000, 1.67680, 1.000 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2 }, 180.00000, 0.00104, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2 }, 0.00000, 0.00021, 0.079 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 0.00000, 0.27560, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2 }, 180.00000, 0.00066, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -2 }, 180.00000, 0.00007, 1.500 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0 }, 0.00000, 0.01923, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2 }, 180.00000, 0.00011, 0.018 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0 }, 0.00000, 0.00138, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2 }, 180.00000, 0.00001, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0 }, 0.00000, 0.00010, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 0 }, 0.00000, 0.00008, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0 }, 0.00000, 0.00097, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -2 }, 180.00000, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 0.00000, 0.01293, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2 }, 0.00000, 0.00002, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 0.00000, 0.03747, 0.500 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2 }, 180.00000, 0.00003, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 }, 0.00000, 0.00585, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2 }, 180.00000, 0.00001, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 }, 0.00000, 0.00033, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0 }, 0.00000, 0.00002, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 0 }, 0.00000, 0.00003, 0.043 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0 }, 0.00000, 0.00039, 0.098 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0 }, 0.00000, 0.00076, 0.333 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0 }, 0.00000, 0.00014, 0.062 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, 0 }, 0.00000, 0.00001, 0.108 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0 }, 0.00000, 0.00001, 0.250 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0 }, 180.00000, 0.00002, 0.107 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 0 }, 180.00000, 0.00001, 0.346 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0 }, 180.00000, 0.00022, 0.096 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 0 }, 0.00000, 0.00002, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 }, 0.00000, 0.00034, 0.530 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2 }, 0.00000, 0.00003, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 }, 0.00000, 0.00141, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0 }, 0.00000, 0.00030, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 2, 0 }, 0.00000, 0.00004, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0 }, 0.00000, 0.00002, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 }, 0.00000, 0.00004, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, 0.00000, 0.00011, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 }, 180.00000, 0.00003, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -3, 0 }, 180.00000, 0.00006, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0 }, 180.00000, 0.00088, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0 }, 180.00000, 0.00270, 8.850 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 }, 180.00000, 0.04516, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2 }, 0.00000, 0.00009, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 }, 180.00000, 0.00317, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2 }, 0.00000, 0.00002, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0 }, 180.00000, 0.00023, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 0 }, 180.00000, 0.00002, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, -2, 0 }, 180.00000, 0.00002, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0 }, 0.00000, 0.00002, 0.898 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 }, 0.00000, 0.00020, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0 }, 0.00000, 0.00004, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, -1, 0 }, 180.00000, 0.00008, 0.134 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0 }, 180.00000, 0.00013, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, 1, 0 }, 180.00000, 0.00001, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -2, 0 }, 180.00000, 0.00007, 0.209 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -1, 0 }, 180.00000, 0.00186, 0.118 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, -2 }, 180.00000, 0.00001, 0.196 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0 }, 180.00000, 0.00256, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 1, 0 }, 180.00000, 0.00025, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 2, 0 }, 180.00000, 0.00002, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -3, 0 }, 180.00000, 0.00008, 0.059 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0 }, 180.00000, 0.00148, 0.265 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, -2 }, 0.00000, 0.00002, 0.058 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 0 }, 180.00000, 0.03707, 0.105 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 2 }, 0.00000, 0.00008, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2 }, 180.00000, 0.00032, 0.243 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0 }, 180.00000, 0.04048, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2 }, 0.00000, 0.00009, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, -2 }, 0.00000, 0.00008, 0.109 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 0 }, 180.00000, 0.00378, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 2 }, 0.00000, 0.00002, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0 }, 180.00000, 0.00032, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 3, 0 }, 180.00000, 0.00003, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -4, 0 }, 180.00000, 0.00007, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -3, 0 }, 180.00000, 0.00120, 0.062 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -2 }, 0.00000, 0.00007, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 0 }, 180.00000, 0.02165, 0.360 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2 }, 0.00000, 0.00005, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -2 }, 0.00000, 0.00015, 0.061 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0 }, 180.00000, 0.51642, 0.095 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 2 }, 0.00000, 0.00107, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2 }, 180.00000, 0.00539, 0.322 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0 }, 180.00000, 0.41383, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 2 }, 0.00000, 0.00096, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, -2 }, 0.00000, 0.00094, 0.099 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 }, 180.00000, 0.03649, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 2 }, 0.00000, 0.00019, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -2 }, 0.00000, 0.00007, 0.043 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, 0 }, 180.00000, 0.00295, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, 2 }, 0.00000, 0.00003, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, 0 }, 180.00000, 0.00023, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 4, 0 }, 180.00000, 0.00002, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0 }, 180.00000, 0.00003, 0.067 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0 }, 180.00000, 0.00031, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0 }, 0.00000, 0.00819, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 2 }, 180.00000, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2 }, 0.00000, 0.00029, 0.474 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 }, 0.00000, 0.01072, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2 }, 180.00000, 0.00003, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -2 }, 180.00000, 0.00005, 0.090 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0 }, 0.00000, 0.00128, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0 }, 0.00000, 0.00013, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0 }, 0.00000, 0.00001, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -4, 0 }, 180.00000, 0.00005, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -3, 0 }, 180.00000, 0.00045, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -2, 0 }, 180.00000, 0.00631, 1.292 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 }, 0.00000, 0.07118, 0.080 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 2 }, 180.00000, 0.00017, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2 }, 0.00000, 0.00362, 0.903 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 }, 0.00000, 0.06128, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2 }, 180.00000, 0.00016, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -2 }, 180.00000, 0.00021, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0 }, 0.00000, 0.00734, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2 }, 180.00000, 0.00004, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, -2 }, 180.00000, 0.00002, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0 }, 0.00000, 0.00073, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 0 }, 0.00000, 0.00007, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -3, 0 }, 0.00000, 0.00005, 0.077 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0 }, 0.00000, 0.00126, 4.425 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -2 }, 0.00000, 0.00003, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0 }, 0.00000, 0.01270, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 2 }, 180.00000, 0.00003, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2 }, 0.00000, 0.00012, 9.300 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 }, 0.00000, 0.00094, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0 }, 0.00000, 0.00007, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 3, -1, 0 }, 0.00000, 0.00001, 0.069 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -2, -2, 0 }, 0.00000, 0.00002, 0.116 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -2, -1, 0 }, 0.00000, 0.00006, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0 }, 180.00000, 0.00003, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -2, 0 }, 0.00000, 0.00021, 0.104 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, 0 }, 0.00000, 0.00058, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, -2 }, 0.00000, 0.00005, 0.108 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0 }, 180.00000, 0.00017, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 0, -1, 0 }, 180.00000, 0.00007, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0 }, 180.00000, 0.00004, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -3, 0 }, 0.00000, 0.00002, 0.602 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -2, 0 }, 0.00000, 0.00011, 0.086 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 0 }, 180.00000, 0.00069, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, -2 }, 180.00000, 0.00002, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0 }, 180.00000, 0.00038, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0 }, 180.00000, 0.00006, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -2, 0 }, 180.00000, 0.00006, 0.050 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -1, 0 }, 180.00000, 0.00013, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, 0 }, 180.00000, 0.00007, 0.022 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, 1, 0 }, 180.00000, 0.00001, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -3, 0 }, 180.00000, 0.00003, 0.130 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 0 }, 180.00000, 0.00079, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -1, 0 }, 180.00000, 0.00155, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0 }, 180.00000, 0.00076, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 1, 0 }, 180.00000, 0.00012, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 2, 0 }, 180.00000, 0.00001, 0.014 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -3, 0 }, 180.00000, 0.00025, 0.115 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -2, 0 }, 180.00000, 0.00686, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -2, 2 }, 0.00000, 0.00004, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, -2 }, 180.00000, 0.00006, 0.119 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, 0 }, 180.00000, 0.01097, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, 2 }, 0.00000, 0.00006, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, -2 }, 180.00000, 0.00002, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, 0 }, 180.00000, 0.00469, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, 2 }, 0.00000, 0.00003, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, -2 }, 0.00000, 0.00002, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, 0 }, 180.00000, 0.00071, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 2, 0 }, 180.00000, 0.00008, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0 }, 0.00000, 0.00018, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0 }, 0.00000, 0.00041, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0 }, 0.00000, 0.00022, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0 }, 0.00000, 0.00004, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -3, 0 }, 180.00000, 0.00007, 0.093 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -2, 0 }, 0.00000, 0.00090, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, -2 }, 0.00000, 0.00005, 0.096 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, 0 }, 0.00000, 0.00160, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0 }, 0.00000, 0.00073, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 0 }, 0.00000, 0.00013, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 2, 0 }, 0.00000, 0.00002, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -3, 0 }, 0.00000, 0.00002, 0.085 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, 0 }, 0.00000, 0.00018, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -1, 0 }, 0.00000, 0.00011, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0 }, 0.00000, 0.00001, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 5, -1, -2, 0 }, 0.00000, 0.00002, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 5, 1, -1, 0 }, 180.00000, 0.00001, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, -3, 0 }, 180.00000, 0.00002, 0.031 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, -2, 0 }, 180.00000, 0.00004, 0.022 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, -1, 0 }, 180.00000, 0.00004, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, 0, 0 }, 180.00000, 0.00001, 0.014 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -3, 0 }, 180.00000, 0.00010, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -2, 0 }, 180.00000, 0.00023, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -1, 0 }, 180.00000, 0.00018, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, 0, 0 }, 180.00000, 0.00006, 0.014 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, 1, 0 }, 180.00000, 0.00001, 0.012 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, 0 }, 0.00000, 0.00001, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 0, -1, 0 }, 0.00000, 0.00001, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 1, -3, 0 }, 0.00000, 0.00001, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 1, -2, 0 }, 0.00000, 0.00003, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 1, -1, 0 }, 0.00000, 0.00003, 0.016 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 1 }, 14.81311, 0.00001, 0.089 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1 }, 194.81311, 0.00007, 0.487 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1 }, 14.81311, 0.00006, 0.087 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, -1 }, 194.81311, 0.00004, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1 }, 194.81311, 0.00053, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1 }, 194.81311, 0.00007, 0.074 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1 }, 194.81311, 0.00247, 18.600 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1 }, 194.81311, 0.00052, 0.037 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1 }, 194.81311, 0.00053, 0.076 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1 }, 194.81311, 0.00006, 0.025 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, -1 }, 194.81311, 0.00004, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, -1 }, 14.81311, 0.00004, 0.088 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, 1 }, 194.81311, 0.00001, 0.026 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1 }, 194.81311, 0.00005, 0.041 } +} }; + +constexpr array g_ELP20 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 }, 0.00000, 0.00007, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 }, 0.00000, 0.00008, 5.997 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 }, 0.00000, 0.00008, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1 }, 0.00000, 0.00005, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 }, 0.00000, 0.00003, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, -1 }, 0.00000, 0.00002, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -1 }, 0.00000, 0.00019, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 1 }, 0.00000, 0.00006, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1 }, 0.00000, 0.00200, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1 }, 0.00000, 0.00076, 0.083 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -3 }, 180.00000, 0.00002, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1 }, 0.00000, 0.01696, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1 }, 0.00000, 0.01419, 0.857 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 3 }, 0.00000, 0.00002, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1 }, 0.00000, 0.01215, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 }, 0.00000, 0.01623, 0.069 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3 }, 180.00000, 0.00003, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -3 }, 0.00000, 0.00002, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1 }, 0.00000, 0.01279, 1.200 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 }, 0.00000, 0.01338, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3 }, 180.00000, 0.00002, 0.018 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1 }, 0.00000, 0.00079, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1 }, 0.00000, 0.00161, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, -1 }, 0.00000, 0.00006, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1 }, 0.00000, 0.00016, 0.018 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1 }, 0.00000, 0.00001, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1 }, 0.00000, 0.00008, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1 }, 0.00000, 0.00003, 0.090 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1 }, 0.00000, 0.00057, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1 }, 0.00000, 0.00048, 0.462 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1 }, 0.00000, 0.00009, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 }, 0.00000, 0.00029, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1 }, 0.00000, 0.00031, 0.545 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1 }, 0.00000, 0.00028, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1 }, 0.00000, 0.00001, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1 }, 0.00000, 0.00003, 0.024 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, -1 }, 0.00000, 0.00002, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 1 }, 0.00000, 0.00001, 0.316 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, -1 }, 180.00000, 0.00001, 0.327 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1 }, 180.00000, 0.00001, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1 }, 180.00000, 0.00003, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1 }, 0.00000, 0.00003, 0.487 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1 }, 0.00000, 0.00005, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1 }, 0.00000, 0.00005, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1 }, 0.00000, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, -1 }, 180.00000, 0.00004, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1 }, 180.00000, 0.00004, 3.575 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1 }, 180.00000, 0.00002, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1 }, 0.00000, 0.00014, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1 }, 180.00000, 0.00202, 18.600 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 }, 180.00000, 0.00202, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1 }, 180.00000, 0.00009, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 }, 180.00000, 0.00026, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1 }, 180.00000, 0.00003, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1 }, 0.00000, 0.00001, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, -1 }, 180.00000, 0.00001, 0.137 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -1, -1 }, 180.00000, 0.00007, 0.202 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -1, 1 }, 180.00000, 0.00008, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, -1 }, 180.00000, 0.00028, 0.120 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 1 }, 180.00000, 0.00012, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 1, -1 }, 180.00000, 0.00002, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 1, 1 }, 180.00000, 0.00002, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -1 }, 180.00000, 0.00011, 0.058 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, -1 }, 180.00000, 0.00135, 0.254 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 1 }, 180.00000, 0.00158, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -3 }, 180.00000, 0.00001, 0.057 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1 }, 180.00000, 0.00546, 0.107 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 1 }, 180.00000, 0.00193, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, -1 }, 180.00000, 0.00035, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 1 }, 180.00000, 0.00029, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -1 }, 180.00000, 0.00003, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 1 }, 180.00000, 0.00003, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -4, -1 }, 180.00000, 0.00001, 0.023 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -3, -1 }, 180.00000, 0.00014, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -3, 1 }, 180.00000, 0.00002, 0.384 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -1 }, 180.00000, 0.00164, 0.062 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 1 }, 0.00000, 0.00016, 0.094 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -3 }, 180.00000, 0.00003, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1 }, 180.00000, 0.01869, 0.340 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 1 }, 180.00000, 0.02229, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 3 }, 0.00000, 0.00003, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -3 }, 180.00000, 0.00022, 0.060 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1 }, 180.00000, 0.07430, 0.097 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1 }, 180.00000, 0.01999, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 3 }, 0.00000, 0.00002, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, -3 }, 0.00000, 0.00004, 0.305 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, -1 }, 180.00000, 0.00443, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 1 }, 180.00000, 0.00285, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -1 }, 180.00000, 0.00032, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, 1 }, 180.00000, 0.00031, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, -1 }, 180.00000, 0.00002, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, 1 }, 180.00000, 0.00003, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1 }, 0.00000, 0.00026, 0.515 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1 }, 0.00000, 0.00037, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -3 }, 0.00000, 0.00001, 0.064 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1 }, 0.00000, 0.00295, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1 }, 0.00000, 0.00053, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -1 }, 0.00000, 0.00022, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1 }, 0.00000, 0.00010, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -1 }, 0.00000, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1 }, 0.00000, 0.00001, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -3, -1 }, 180.00000, 0.00005, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -2, -1 }, 180.00000, 0.00020, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -2, 1 }, 180.00000, 0.00014, 0.079 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, -1 }, 0.00000, 0.00198, 1.063 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 1 }, 0.00000, 0.00330, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -3 }, 0.00000, 0.00014, 0.069 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -1 }, 0.00000, 0.03043, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1 }, 0.00000, 0.00318, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -3 }, 180.00000, 0.00001, 0.785 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -1 }, 0.00000, 0.00207, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1 }, 0.00000, 0.00060, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, -1 }, 0.00000, 0.00016, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1 }, 0.00000, 0.00008, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, -1 }, 0.00000, 0.00001, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -1 }, 0.00000, 0.00006, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 1 }, 0.00000, 0.00003, 0.073 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1 }, 0.00000, 0.00053, 16.885 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 1 }, 0.00000, 0.00057, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1 }, 0.00000, 0.00068, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1 }, 0.00000, 0.00007, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, -1 }, 0.00000, 0.00003, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, -1 }, 0.00000, 0.00005, 0.106 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, 1 }, 0.00000, 0.00003, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, -1 }, 0.00000, 0.00006, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, -1 }, 180.00000, 0.00003, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 1 }, 180.00000, 0.00005, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, -1 }, 180.00000, 0.00009, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 1 }, 180.00000, 0.00003, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, -1 }, 180.00000, 0.00001, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -1, -1 }, 180.00000, 0.00001, 0.051 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -1, 1 }, 180.00000, 0.00001, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, -1 }, 180.00000, 0.00001, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, -1 }, 180.00000, 0.00001, 0.133 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 1 }, 180.00000, 0.00006, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -1, -1 }, 180.00000, 0.00017, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -1, 1 }, 180.00000, 0.00012, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, -1 }, 180.00000, 0.00015, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 1 }, 180.00000, 0.00006, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 1, -1 }, 180.00000, 0.00002, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 1, 1 }, 180.00000, 0.00001, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -2, -1 }, 180.00000, 0.00013, 0.117 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -2, 1 }, 180.00000, 0.00054, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, -1 }, 180.00000, 0.00149, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, 1 }, 180.00000, 0.00085, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, -3 }, 180.00000, 0.00001, 0.122 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, -1 }, 180.00000, 0.00104, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, 1 }, 180.00000, 0.00040, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, -1 }, 180.00000, 0.00014, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, 1 }, 180.00000, 0.00008, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 2, -1 }, 180.00000, 0.00002, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 2, 1 }, 180.00000, 0.00001, 0.011 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 1 }, 0.00000, 0.00001, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, -1 }, 0.00000, 0.00008, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 1 }, 0.00000, 0.00003, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -1 }, 0.00000, 0.00007, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1 }, 0.00000, 0.00002, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, -1 }, 0.00000, 0.00001, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -2, 1 }, 0.00000, 0.00007, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, -1 }, 0.00000, 0.00043, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, 1 }, 0.00000, 0.00013, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, -1 }, 0.00000, 0.00028, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 1 }, 0.00000, 0.00006, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, -1 }, 0.00000, 0.00004, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1 }, 0.00000, 0.00001, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, 1 }, 0.00000, 0.00001, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -1, -1 }, 0.00000, 0.00002, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -3, 1 }, 180.00000, 0.00001, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -2, -1 }, 180.00000, 0.00003, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -2, 1 }, 180.00000, 0.00002, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -1, -1 }, 180.00000, 0.00004, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -1, 1 }, 180.00000, 0.00002, 0.014 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, 0, -1 }, 180.00000, 0.00002, 0.017 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0 }, 194.81311, 0.00002, 0.041 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 }, 194.81311, 0.00041, 0.088 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0 }, 194.81311, 0.00010, 0.530 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0 }, 194.81311, 0.00002, 0.096 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, 0 }, 194.81311, 0.00002, 0.076 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -2 }, 194.81311, 0.00003, 0.037 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0 }, 194.81311, 0.00066, 8.850 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -2 }, 194.81311, 0.00008, 0.074 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 }, 14.81311, 0.01172, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2 }, 194.81311, 0.00001, 0.025 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -2 }, 194.81311, 0.00002, 4.535 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0 }, 14.81311, 0.00062, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0 }, 14.81311, 0.00004, 0.025 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, 0 }, 14.81311, 0.00013, 0.040 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0 }, 14.81311, 0.00007, 0.026 } +} }; + +constexpr array g_ELP21 +{ { + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, 270.00000, 0.00149, 99999.999 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2 }, 90.00000, 0.00010, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 }, 270.00000, 0.00174, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 }, 270.00000, 0.00029, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 }, 270.00000, 0.00003, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 0 }, 90.00000, 0.00007, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 0 }, 90.00000, 0.00106, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0 }, 90.00000, 0.01764, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 2 }, 90.00000, 0.00013, 0.750 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2 }, 90.00000, 0.00002, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0 }, 90.00000, 0.32654, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 2 }, 270.00000, 0.00084, 0.069 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2 }, 90.00000, 0.00047, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 }, 270.00000, 0.12302, 1.000 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2 }, 90.00000, 0.00040, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2 }, 90.00000, 0.00062, 0.079 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 }, 270.00000, 0.26396, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -2 }, 270.00000, 0.00008, 1.500 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0 }, 270.00000, 0.01449, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0 }, 270.00000, 0.00089, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0 }, 270.00000, 0.00006, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 0 }, 90.00000, 0.00005, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0 }, 90.00000, 0.00069, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0 }, 90.00000, 0.01066, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2 }, 270.00000, 0.00002, 0.064 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2 }, 90.00000, 0.00003, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 }, 270.00000, 0.00536, 0.500 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 }, 270.00000, 0.00587, 0.066 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 }, 270.00000, 0.00026, 0.035 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 0 }, 90.00000, 0.00002, 0.043 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 0 }, 90.00000, 0.00029, 0.098 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0 }, 270.00000, 0.00016, 0.333 }, + { { 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0 }, 270.00000, 0.00014, 0.062 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 0 }, 270.00000, 0.00004, 0.346 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0 }, 90.00000, 0.00015, 0.096 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0 }, 270.00000, 0.00029, 0.530 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2 }, 90.00000, 0.00003, 0.065 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0 }, 270.00000, 0.00126, 0.088 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0 }, 270.00000, 0.00028, 0.041 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, -1, 2, 0 }, 270.00000, 0.00003, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0 }, 90.00000, 0.00002, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0 }, 90.00000, 0.00004, 1.127 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }, 270.00000, 0.00008, 0.081 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 }, 90.00000, 0.00002, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -3, 0 }, 270.00000, 0.00004, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0 }, 270.00000, 0.00084, 0.076 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0 }, 270.00000, 0.00214, 8.850 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -2 }, 270.00000, 0.00008, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 }, 90.00000, 0.04194, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 }, 90.00000, 0.00235, 0.038 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0 }, 90.00000, 0.00015, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0 }, 270.00000, 0.00002, 0.898 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 }, 270.00000, 0.00019, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0 }, 270.00000, 0.00003, 0.036 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, -1, 0 }, 90.00000, 0.00004, 0.134 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0 }, 90.00000, 0.00016, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -2, 0 }, 270.00000, 0.00008, 0.209 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, -1, 0 }, 90.00000, 0.00112, 0.118 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0 }, 90.00000, 0.00310, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -3, 1, 0 }, 90.00000, 0.00022, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -3, 0 }, 270.00000, 0.00008, 0.059 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0 }, 270.00000, 0.00173, 0.265 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, -2 }, 270.00000, 0.00005, 0.058 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 0 }, 90.00000, 0.02490, 0.105 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2 }, 270.00000, 0.00014, 0.243 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0 }, 90.00000, 0.04970, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, -2 }, 270.00000, 0.00004, 0.109 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 0 }, 90.00000, 0.00331, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0 }, 90.00000, 0.00023, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -4, 0 }, 270.00000, 0.00006, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -3, 0 }, 270.00000, 0.00125, 0.062 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, -2 }, 270.00000, 0.00004, 0.034 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 0 }, 270.00000, 0.02529, 0.360 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2 }, 270.00000, 0.00008, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -2 }, 270.00000, 0.00081, 0.061 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0 }, 90.00000, 0.38245, 0.095 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 2 }, 270.00000, 0.00009, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -2 }, 270.00000, 0.00165, 0.322 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0 }, 90.00000, 0.51395, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, -2 }, 270.00000, 0.00053, 0.099 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0 }, 90.00000, 0.03222, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -2 }, 270.00000, 0.00005, 0.043 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, 0 }, 90.00000, 0.00213, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, -1, 3, 0 }, 90.00000, 0.00015, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0 }, 270.00000, 0.00002, 0.067 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0 }, 90.00000, 0.00004, 0.564 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0 }, 270.00000, 0.00633, 0.087 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2 }, 90.00000, 0.00005, 0.474 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 }, 270.00000, 0.01356, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, -2 }, 90.00000, 0.00003, 0.090 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0 }, 270.00000, 0.00114, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0 }, 270.00000, 0.00009, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -4, 0 }, 270.00000, 0.00004, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -3, 0 }, 270.00000, 0.00043, 0.071 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -2, 0 }, 270.00000, 0.00039, 1.292 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, -2 }, 90.00000, 0.00012, 0.070 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 0 }, 270.00000, 0.06068, 0.080 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2 }, 90.00000, 0.00034, 0.903 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 }, 270.00000, 0.07754, 0.039 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -2 }, 90.00000, 0.00014, 0.082 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0 }, 270.00000, 0.00658, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0 }, 270.00000, 0.00053, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 0 }, 270.00000, 0.00004, 0.015 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -3, 0 }, 90.00000, 0.00005, 0.077 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0 }, 90.00000, 0.00055, 4.425 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -2 }, 90.00000, 0.00005, 0.075 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0 }, 270.00000, 0.01186, 0.074 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 }, 270.00000, 0.00074, 0.037 }, + { { 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0 }, 270.00000, 0.00005, 0.025 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -2, -1, 0 }, 270.00000, 0.00007, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0 }, 90.00000, 0.00005, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -2, 0 }, 270.00000, 0.00013, 0.104 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, 0 }, 270.00000, 0.00064, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, -2 }, 270.00000, 0.00004, 0.108 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0 }, 90.00000, 0.00040, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, -1, 1, 0 }, 90.00000, 0.00002, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 0, -1, 0 }, 90.00000, 0.00006, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0 }, 90.00000, 0.00003, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -2, 0 }, 270.00000, 0.00010, 0.086 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 0 }, 90.00000, 0.00053, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, -2 }, 90.00000, 0.00002, 0.089 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0 }, 90.00000, 0.00027, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0 }, 90.00000, 0.00004, 0.019 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -2, 0 }, 90.00000, 0.00004, 0.050 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, -1, 0 }, 90.00000, 0.00012, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, 0 }, 90.00000, 0.00006, 0.022 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 0 }, 90.00000, 0.00054, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, -1, 0 }, 90.00000, 0.00140, 0.029 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, -2 }, 90.00000, 0.00002, 0.048 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0 }, 90.00000, 0.00064, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -2, 1, 0 }, 90.00000, 0.00009, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -3, 0 }, 90.00000, 0.00011, 0.115 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -2, 0 }, 90.00000, 0.00476, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, -2 }, 90.00000, 0.00007, 0.119 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, -1, 0 }, 90.00000, 0.00993, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, -2 }, 90.00000, 0.00014, 0.046 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, 0 }, 90.00000, 0.00394, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, 0 }, 90.00000, 0.00051, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, -1, 2, 0 }, 90.00000, 0.00005, 0.013 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0 }, 270.00000, 0.00012, 0.044 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0 }, 270.00000, 0.00038, 0.028 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0 }, 270.00000, 0.00019, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0 }, 270.00000, 0.00003, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -3, 0 }, 90.00000, 0.00006, 0.093 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -2, 0 }, 270.00000, 0.00060, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, -2 }, 270.00000, 0.00004, 0.096 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, 0 }, 270.00000, 0.00146, 0.027 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, -2 }, 270.00000, 0.00005, 0.042 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0 }, 270.00000, 0.00061, 0.020 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 0 }, 270.00000, 0.00009, 0.016 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, 0 }, 270.00000, 0.00013, 0.040 }, + { { 0, 0, 0, 0, 0, 0, 0, 4, 2, -1, 0 }, 270.00000, 0.00009, 0.026 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, -2, 0 }, 90.00000, 0.00003, 0.022 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -2, -1, 0 }, 90.00000, 0.00003, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -3, 0 }, 90.00000, 0.00006, 0.030 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -2, 0 }, 90.00000, 0.00017, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, -1, 0 }, 90.00000, 0.00013, 0.017 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, -1, 0, 0 }, 90.00000, 0.00004, 0.014 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 1, -2, 0 }, 270.00000, 0.00002, 0.021 }, + { { 0, 0, 0, 0, 0, 0, 0, 6, 1, -1, 0 }, 270.00000, 0.00002, 0.016 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1 }, 284.81311, 0.00003, 0.040 }, + { { 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1 }, 104.81311, 0.00005, 0.087 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, -1 }, 284.81311, 0.00003, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1 }, 284.81311, 0.00049, 0.075 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1 }, 104.81311, 0.00012, 0.074 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1 }, 104.81311, 0.00049, 0.076 }, + { { 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, -1 }, 104.81311, 0.00003, 0.038 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, -1 }, 284.81311, 0.00003, 0.088 }, + { { 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1 }, 104.81311, 0.00004, 0.041 } +} }; + +constexpr array g_ELP22 +{ { + { 0, { 1, 1, -1, -1 }, 192.93665, 0.00004, 0.075 }, + { 0, { 1, 1, 0, -1 }, 192.93665, 0.00082, 18.600 }, + { 0, { 1, 1, 1, -1 }, 192.93665, 0.00004, 0.076 } +} }; + +constexpr array g_ELP23 +{ { + { 0, { 1, 1, 0, -2 }, 192.93663, 0.00004, 0.074 }, + { 0, { 1, 1, 0, 0 }, 192.93664, 0.00004, 0.075 } +} }; + +constexpr array g_ELP24 +{ { + { 0, { 1, 1, -1, -1 }, 282.93665, 0.00004, 0.075 }, + { 0, { 1, 1, 1, -1 }, 102.93665, 0.00004, 0.076 } +} }; + +constexpr array g_ELP25 +{ { + { 0, { 0, 0, 1, 0 }, 0.00000, 0.00058, 0.075 }, + { 0, { 0, 0, 2, 0 }, 0.00000, 0.00004, 0.038 }, + { 0, { 2, 0, -2, 0 }, 0.00000, 0.00002, 0.564 }, + { 0, { 2, 0, -1, 0 }, 0.00000, 0.00021, 0.087 }, + { 0, { 2, 0, 0, 0 }, 0.00000, 0.00009, 0.040 }, + { 0, { 2, 0, 1, 0 }, 0.00000, 0.00001, 0.026 } +} }; + +constexpr array g_ELP26 +{ { + { 0, { 0, 0, 0, 1 }, 180.00000, 0.00005, 0.075 }, + { 0, { 0, 0, 1, -1 }, 0.00000, 0.00003, 5.997 }, + { 0, { 0, 0, 1, 1 }, 0.00000, 0.00003, 0.037 }, + { 0, { 2, 0, 0, -1 }, 0.00000, 0.00001, 0.088 } +} }; + +constexpr array g_ELP27 +{ { + { 0, { 0, 0, 0, 0 }, 90.00000, 0.00356, 99999.999 }, + { 0, { 0, 0, 1, 0 }, 270.00000, 0.00072, 0.075 }, + { 0, { 0, 0, 2, 0 }, 270.00000, 0.00003, 0.038 }, + { 0, { 2, 0, -1, 0 }, 270.00000, 0.00019, 0.087 }, + { 0, { 2, 0, 0, 0 }, 270.00000, 0.00013, 0.040 } +} }; + +constexpr array g_ELP28 +{ { + { 0, { 0, 0, 0, 1 }, 303.96185, 0.00004, 0.075 }, + { 0, { 0, 0, 1, -1 }, 259.88393, 0.00016, 5.997 }, + { 0, { 0, 0, 2, -2 }, 0.43020, 0.00040, 2.998 }, + { 0, { 0, 0, 3, -2 }, 0.43379, 0.00002, 0.077 }, + { 0, { 0, 1, -1, 0 }, 359.99858, 0.00014, 0.082 }, + { 0, { 0, 1, 0, 0 }, 359.99982, 0.00223, 1.000 }, + { 0, { 0, 1, 1, 0 }, 359.99961, 0.00014, 0.070 }, + { 0, { 1, 0, -1, 0 }, 359.99331, 0.00009, 1.127 }, + { 0, { 1, 0, 0, 0 }, 359.99537, 0.00001, 0.081 }, + { 0, { 1, 1, -1, 0 }, 0.06418, 0.00003, 8.850 }, + { 0, { 2, -1, -1, 0 }, 180.00095, 0.00004, 0.095 }, + { 0, { 2, -1, 0, 0 }, 180.00014, 0.00003, 0.042 }, + { 0, { 2, 0, -3, 0 }, 179.98126, 0.00001, 0.067 }, + { 0, { 2, 0, -2, 0 }, 179.98366, 0.00025, 0.564 }, + { 0, { 2, 0, -1, 0 }, 179.99638, 0.00014, 0.087 }, + { 0, { 2, 0, 0, -2 }, 179.95864, 0.00003, 0.474 }, + { 0, { 2, 0, 0, 0 }, 179.99904, 0.00002, 0.040 }, + { 0, { 2, 1, -2, 0 }, 179.99184, 0.00002, 1.292 }, + { 0, { 2, 1, -1, 0 }, 0.00313, 0.00002, 0.080 }, + { 0, { 2, 1, 0, 0 }, 359.99965, 0.00002, 0.039 } +} }; + +constexpr array g_ELP29 +{ { + { 0, { 0, 0, 1, -1 }, 0.02199, 0.00003, 5.997 }, + { 0, { 0, 0, 1, 0 }, 245.99067, 0.00001, 0.075 }, + { 0, { 0, 0, 1, 1 }, 0.00530, 0.00001, 0.037 }, + { 0, { 0, 0, 2, -3 }, 0.42283, 0.00002, 0.073 }, + { 0, { 0, 0, 2, -1 }, 0.74505, 0.00001, 0.076 }, + { 0, { 0, 1, -1, -1 }, 359.99982, 0.00001, 0.039 }, + { 0, { 0, 1, 0, -1 }, 359.99982, 0.00010, 0.081 }, + { 0, { 0, 1, 0, 1 }, 359.99982, 0.00010, 0.069 }, + { 0, { 0, 1, 1, 1 }, 359.99982, 0.00001, 0.036 }, + { 0, { 2, 0, -2, -1 }, 179.98356, 0.00001, 0.066 }, + { 0, { 2, 0, -2, 1 }, 179.98353, 0.00001, 0.086 }, + { 0, { 2, 0, 0, -1 }, 179.99478, 0.00005, 0.088 } +} }; + +constexpr array g_ELP30 +{ { + { 0, { 0, 0, 0, 0 }, 90.00000, 0.00130, 99999.999 }, + { 0, { 0, 0, 0, 1 }, 213.95720, 0.00003, 0.075 }, + { 0, { 0, 0, 0, 2 }, 270.03745, 0.00002, 0.037 }, + { 0, { 0, 0, 1, 0 }, 90.07597, 0.00004, 0.075 }, + { 0, { 0, 0, 3, -2 }, 270.43429, 0.00002, 0.077 }, + { 0, { 0, 1, -1, 0 }, 89.99919, 0.00013, 0.082 }, + { 0, { 0, 1, 0, 0 }, 270.00007, 0.00022, 1.000 }, + { 0, { 0, 1, 1, 0 }, 269.99903, 0.00011, 0.070 }, + { 0, { 2, -1, -1, 0 }, 89.99815, 0.00002, 0.095 }, + { 0, { 2, -1, 0, 0 }, 90.00052, 0.00003, 0.042 }, + { 0, { 2, 0, -2, 0 }, 269.98585, 0.00005, 0.564 }, + { 0, { 2, 0, -1, 0 }, 89.99863, 0.00013, 0.087 }, + { 0, { 2, 1, -1, 0 }, 269.99982, 0.00002, 0.080 }, + { 0, { 2, 1, 0, 0 }, 269.99982, 0.00003, 0.039 } +} }; + +constexpr array g_ELP31 +{ { + { 0, { 0, 1, -1, 0 }, 179.93473, 0.00006, 0.082 }, + { 0, { 0, 1, 0, 0 }, 179.98532, 0.00081, 1.000 }, + { 0, { 0, 1, 1, 0 }, 179.96323, 0.00005, 0.070 }, + { 0, { 1, 0, 0, 0 }, 0.00001, 0.00013, 0.081 }, + { 0, { 1, 1, 0, 0 }, 180.02282, 0.00001, 0.075 }, + { 0, { 2, -1, -1, 0 }, 0.02264, 0.00002, 0.095 }, + { 0, { 2, 0, -1, 0 }, 359.98826, 0.00002, 0.087 }, + { 0, { 2, 0, 0, 0 }, 180.00019, 0.00055, 0.040 }, + { 0, { 2, 0, 1, 0 }, 180.00017, 0.00006, 0.026 }, + { 0, { 2, 1, -1, 0 }, 180.74954, 0.00001, 0.080 }, + { 0, { 4, 0, -1, 0 }, 180.00035, 0.00001, 0.028 } +} }; + +constexpr array g_ELP32 +{ { + { 0, { 0, 1, 0, -1 }, 179.99803, 0.00004, 0.081 }, + { 0, { 0, 1, 0, 1 }, 179.99798, 0.00004, 0.069 }, + { 0, { 2, 0, 0, -1 }, 359.99810, 0.00002, 0.088 }, + { 0, { 2, 0, 0, 1 }, 180.00026, 0.00002, 0.026 } +} }; + +constexpr array g_ELP33 +{ { + { 0, { 0, 0, 0, 0 }, 270.00000, 0.00828, 99999.999 }, + { 0, { 0, 0, 1, 0 }, 89.99994, 0.00043, 0.075 }, + { 0, { 0, 1, -1, 0 }, 269.93292, 0.00005, 0.082 }, + { 0, { 0, 1, 0, 0 }, 270.00908, 0.00009, 1.000 }, + { 0, { 0, 1, 1, 0 }, 89.95765, 0.00005, 0.070 }, + { 0, { 1, 0, 0, 0 }, 270.00002, 0.00006, 0.081 }, + { 0, { 2, -1, 0, 0 }, 89.97071, 0.00002, 0.042 }, + { 0, { 2, 0, -1, 0 }, 269.99367, 0.00003, 0.087 }, + { 0, { 2, 0, 0, 0 }, 90.00014, 0.00106, 0.040 }, + { 0, { 2, 0, 1, 0 }, 90.00010, 0.00008, 0.026 } +} }; + +constexpr array g_ELP34 +{ { + { 0, { 0, 1, -2, 0 }, 0.00000, 0.00007, 0.039 }, + { 0, { 0, 1, -1, 0 }, 0.00000, 0.00108, 0.082 }, + { 0, { 0, 1, 0, 0 }, 0.00000, 0.00487, 1.000 }, + { 0, { 0, 1, 1, 0 }, 0.00000, 0.00080, 0.070 }, + { 0, { 0, 1, 2, 0 }, 0.00000, 0.00006, 0.036 }, + { 0, { 0, 2, -1, 0 }, 0.00000, 0.00004, 0.089 }, + { 0, { 0, 2, 0, 0 }, 0.00000, 0.00011, 0.500 }, + { 0, { 0, 2, 1, 0 }, 0.00000, 0.00002, 0.066 }, + { 0, { 1, 1, 0, 0 }, 180.00000, 0.00013, 0.075 }, + { 0, { 2, -2, -1, 0 }, 180.00000, 0.00011, 0.105 }, + { 0, { 2, -2, 0, 0 }, 180.00000, 0.00012, 0.044 }, + { 0, { 2, -2, 1, 0 }, 180.00000, 0.00001, 0.028 }, + { 0, { 2, -1, -2, 0 }, 180.00000, 0.00006, 0.360 }, + { 0, { 2, -1, -1, 0 }, 180.00000, 0.00150, 0.095 }, + { 0, { 2, -1, 0, -2 }, 180.00000, 0.00002, 0.322 }, + { 0, { 2, -1, 0, 0 }, 180.00000, 0.00120, 0.042 }, + { 0, { 2, -1, 1, 0 }, 180.00000, 0.00011, 0.027 }, + { 0, { 2, 0, -1, 0 }, 0.00000, 0.00002, 0.087 }, + { 0, { 2, 0, 0, 0 }, 0.00000, 0.00003, 0.040 }, + { 0, { 2, 1, -2, 0 }, 180.00000, 0.00002, 1.292 }, + { 0, { 2, 1, -1, 0 }, 0.00000, 0.00021, 0.080 }, + { 0, { 2, 1, 0, -2 }, 0.00000, 0.00001, 0.903 }, + { 0, { 2, 1, 0, 0 }, 0.00000, 0.00018, 0.039 }, + { 0, { 2, 1, 1, 0 }, 0.00000, 0.00002, 0.026 }, + { 0, { 2, 2, -1, 0 }, 0.00000, 0.00004, 0.074 }, + { 0, { 4, -1, -2, 0 }, 180.00000, 0.00002, 0.046 }, + { 0, { 4, -1, -1, 0 }, 180.00000, 0.00003, 0.028 }, + { 0, { 4, -1, 0, 0 }, 180.00000, 0.00001, 0.021 } +} }; + +constexpr array g_ELP35 +{ { + { 0, { 0, 1, -1, -1 }, 0.00000, 0.00005, 0.039 }, + { 0, { 0, 1, -1, 1 }, 0.00000, 0.00004, 0.857 }, + { 0, { 0, 1, 0, -1 }, 0.00000, 0.00004, 0.081 }, + { 0, { 0, 1, 0, 1 }, 0.00000, 0.00005, 0.069 }, + { 0, { 0, 1, 1, -1 }, 0.00000, 0.00004, 1.200 }, + { 0, { 0, 1, 1, 1 }, 0.00000, 0.00004, 0.036 }, + { 0, { 2, -2, 0, -1 }, 180.00000, 0.00002, 0.107 }, + { 0, { 2, -1, -1, -1 }, 180.00000, 0.00005, 0.340 }, + { 0, { 2, -1, -1, 1 }, 180.00000, 0.00006, 0.042 }, + { 0, { 2, -1, 0, -1 }, 180.00000, 0.00022, 0.097 }, + { 0, { 2, -1, 0, 1 }, 180.00000, 0.00006, 0.027 }, + { 0, { 2, -1, 1, -1 }, 180.00000, 0.00001, 0.042 }, + { 0, { 2, 1, 0, -1 }, 0.00000, 0.00009, 0.081 } +} }; + +constexpr array g_ELP36 +{ { + { 0, { 0, 1, -2, 0 }, 90.00000, 0.00005, 0.039 }, + { 0, { 0, 1, -1, 0 }, 90.00000, 0.00095, 0.082 }, + { 0, { 0, 1, 0, 0 }, 270.00000, 0.00036, 1.000 }, + { 0, { 0, 1, 1, 0 }, 270.00000, 0.00077, 0.070 }, + { 0, { 0, 1, 2, 0 }, 270.00000, 0.00004, 0.036 }, + { 0, { 0, 2, -1, 0 }, 90.00000, 0.00003, 0.089 }, + { 0, { 1, 1, 0, 0 }, 90.00000, 0.00012, 0.075 }, + { 0, { 2, -2, -1, 0 }, 90.00000, 0.00007, 0.105 }, + { 0, { 2, -2, 0, 0 }, 90.00000, 0.00014, 0.044 }, + { 0, { 2, -1, -2, 0 }, 270.00000, 0.00007, 0.360 }, + { 0, { 2, -1, -1, 0 }, 90.00000, 0.00111, 0.095 }, + { 0, { 2, -1, 0, 0 }, 90.00000, 0.00149, 0.042 }, + { 0, { 2, -1, 1, 0 }, 90.00000, 0.00009, 0.027 }, + { 0, { 2, 0, 0, 0 }, 270.00000, 0.00004, 0.040 }, + { 0, { 2, 1, -1, 0 }, 270.00000, 0.00018, 0.080 }, + { 0, { 2, 1, 0, 0 }, 270.00000, 0.00023, 0.039 }, + { 0, { 2, 1, 1, 0 }, 270.00000, 0.00002, 0.026 }, + { 0, { 2, 2, -1, 0 }, 270.00000, 0.00003, 0.074 }, + { 0, { 4, -1, -1, 0 }, 90.00000, 0.00003, 0.028 } +} }; + + +////////////////////////////// Implementation ///////////////////////////////// + +double CAAELP2000::MoonMeanMeanLongitude(const double* pT, int nTSize) noexcept //Aka W1 +{ + //Validate our parameters + assert(pT); + assert((nTSize == 5) || (nTSize == 2)); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + double fValue = g_W[0] + g_W[3] * pT[1]; + if (nTSize == 5) + fValue += g_W[6] * pT[2] + g_W[9] * pT[3] + g_W[12] * pT[4]; + return fValue; +} + +double CAAELP2000::MoonMeanMeanLongitude(double JD) noexcept //Aka W1 +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MoonMeanMeanLongitude(t.data(), 5); +} + +double CAAELP2000::MeanLongitudeLunarPerigee(const double* pT, int nTSize) noexcept //Aka W2 +{ + //Validate our parameters + assert(pT); + assert((nTSize == 5) || (nTSize == 2)); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + double fValue = g_W[1] + g_W[4] * pT[1]; + if (nTSize == 5) + fValue += g_W[7] * pT[2] + g_W[10] * pT[3] + g_W[13] * pT[4]; + return fValue; +} + +double CAAELP2000::MeanLongitudeLunarPerigee(double JD) noexcept //Aka W2 +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MeanLongitudeLunarPerigee(t.data(), 5); +} + +double CAAELP2000::MeanLongitudeLunarAscendingNode(const double* pT, int nTSize) noexcept //Aka W3 +{ + //Validate our parameters + assert(pT); + assert((nTSize == 5) || (nTSize == 2)); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + double fValue = g_W[2] + g_W[5] * pT[1]; + if (nTSize == 5) + fValue += g_W[8] * pT[2] + g_W[11] * pT[3] + g_W[14] * pT[4]; + return fValue; +} + +double CAAELP2000::MeanLongitudeLunarAscendingNode(double JD) noexcept //Aka W3 +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MeanLongitudeLunarAscendingNode(t.data(), 5); +} + +double CAAELP2000::MeanHeliocentricMeanLongitudeEarthMoonBarycentre(const double* pT, int nTSize) noexcept //Aka T +{ + //Validate our parameters + assert(pT); + assert((nTSize == 5) || (nTSize == 2)); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + double fValue = g_EARTH[0] + g_EARTH[1] * pT[1]; + if (nTSize == 5) + fValue += g_EARTH[2] * pT[2] + g_EARTH[3] * pT[3] + g_EARTH[4] * pT[4]; + return fValue; +} + +double CAAELP2000::MeanHeliocentricMeanLongitudeEarthMoonBarycentre(double JD) noexcept //Aka T +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MeanHeliocentricMeanLongitudeEarthMoonBarycentre(t.data(), 5); +} + +double CAAELP2000::MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(const double* pT, int nTSize) noexcept //Aka Omega' +{ + //Validate our parameters + assert(pT); + assert((nTSize == 5) || (nTSize == 2)); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + double fValue = g_PERI[0] + g_PERI[1] * pT[1]; + if (nTSize == 5) + fValue += g_PERI[2] * pT[2] + g_PERI[3] * pT[3]; + + return fValue; +} + +double CAAELP2000::MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(double JD) noexcept //Aka Omega' +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(t.data(), 5); +} + +double CAAELP2000::MoonMeanSolarElongation(const double* pT, int nTSize) noexcept //Aka D +{ + //Implement D in terms of W1 and T + return MoonMeanMeanLongitude(pT, nTSize) - MeanHeliocentricMeanLongitudeEarthMoonBarycentre(pT, nTSize) + CAACoordinateTransformation::PI(); +} + +double CAAELP2000::MoonMeanSolarElongation(double JD) noexcept //Aka D +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MoonMeanSolarElongation(t.data(), 5); +} + +double CAAELP2000::SunMeanAnomaly(const double* pT, int nTSize) noexcept //Aka l' +{ + //Implement l' in terms of T and Omega' + return MeanHeliocentricMeanLongitudeEarthMoonBarycentre(pT, nTSize) - MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(pT, nTSize); +} + +double CAAELP2000::SunMeanAnomaly(double JD) noexcept //Aka l' +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return SunMeanAnomaly(t.data(), 5); +} + +double CAAELP2000::MoonMeanAnomaly(const double* pT, int nTSize) noexcept //Aka l +{ + //Implement L in terms of W1 and W2 + return MoonMeanMeanLongitude(pT, nTSize) - MeanLongitudeLunarPerigee(pT, nTSize); +} + +double CAAELP2000::MoonMeanAnomaly(double JD) noexcept //Aka l +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MoonMeanAnomaly(t.data(), 5); +} + +double CAAELP2000::MoonMeanArgumentOfLatitude(const double* pT, int nTSize) noexcept //Aka F +{ + //Implement F in terms of W1 and W3 + return MoonMeanMeanLongitude(pT, nTSize) - MeanLongitudeLunarAscendingNode(pT, nTSize); +} + +double CAAELP2000::MoonMeanArgumentOfLatitude(double JD) noexcept //Aka F +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return MoonMeanArgumentOfLatitude(t.data(), 5); +} + +double CAAELP2000::MercuryMeanLongitude(double T) noexcept +{ + return g_P[0][0] + g_P[0][1]*T; +} + +double CAAELP2000::VenusMeanLongitude(double T) noexcept +{ + return g_P[1][0] + g_P[1][1]*T; +} + +double CAAELP2000::MarsMeanLongitude(double T) noexcept +{ + return g_P[3][0] + g_P[3][1]*T; +} + +double CAAELP2000::JupiterMeanLongitude(double T) noexcept +{ + return g_P[4][0] + g_P[4][1]*T; +} + +double CAAELP2000::SaturnMeanLongitude(double T) noexcept +{ + return g_P[5][0] + g_P[5][1]*T; +} + +double CAAELP2000::UranusMeanLongitude(double T) noexcept +{ + return g_P[6][0] + g_P[6][1]*T; +} + +double CAAELP2000::NeptuneMeanLongitude(double T) noexcept +{ + return g_P[7][0] + g_P[7][1]*T; +} + +//Handle the main problem calculation (Longitude & Latitude) +double CAAELP2000::Accumulate(const ELP2000MainProblemCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF) noexcept +{ + //Validate our parameters + assert(pCoefficients); + assert(nCoefficients); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pCoefficients); +#endif + + //What will be the return value from this function + double fResult = 0; + + //Accumulate the result + for (size_t j=0; j= 2); + + //Compute the delaney arguments for the specified time + const double fD = MoonMeanSolarElongation(pT, nTSize); + const double fldash = SunMeanAnomaly(pT, nTSize); + const double fl = MoonMeanAnomaly(pT, nTSize); + const double fF = MoonMeanArgumentOfLatitude(pT, nTSize); + const double fD2 = MoonMeanSolarElongation(pT, 2); + const double fldash2 = SunMeanAnomaly(pT, 2); + const double fl2 = MoonMeanAnomaly(pT, 2); + const double fF2 = MoonMeanArgumentOfLatitude(pT, 2); + + //Compute the planet mean longitudes for the specified time + const double fMe = MercuryMeanLongitude(pT[1]); + const double fV = VenusMeanLongitude(pT[1]); + const double fT = MeanHeliocentricMeanLongitudeEarthMoonBarycentre(pT, 2); + const double fMa = MarsMeanLongitude(pT[1]); + const double fJ = JupiterMeanLongitude(pT[1]); + const double fS = SaturnMeanLongitude(pT[1]); + const double fU = UranusMeanLongitude(pT[1]); + const double fN = NeptuneMeanLongitude(pT[1]); + + //Calculate the Longitude + const double A = Accumulate(g_ELP1.data(), g_ELP1.size(), fD, fldash, fl, fF) + + Accumulate(pT, nTSize, g_ELP4.data(), g_ELP4.size(), fD2, fldash2, fl2, fF2, false) + + Accumulate_2(pT, nTSize, g_ELP7.data(), g_ELP7.size(), fD2, fldash2, fl2, fF2, false) + + AccumulateTable1(g_ELP10.data(), g_ELP10.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable1_2(pT, nTSize, g_ELP13.data(), g_ELP13.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable2(g_ELP16.data(), g_ELP16.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + AccumulateTable2_2(pT, nTSize, g_ELP19.data(), g_ELP19.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + Accumulate(pT, nTSize, g_ELP22.data(), g_ELP22.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_2(pT, nTSize, g_ELP25.data(), g_ELP25.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP28.data(), g_ELP28.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP31.data(), g_ELP31.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_3(pT, nTSize, g_ELP34.data(), g_ELP34.size(), fD2, fldash2, fl2, fF2); + return CAACoordinateTransformation::MapTo0To360Range(A/3600.0 + CAACoordinateTransformation::RadiansToDegrees(MoonMeanMeanLongitude(pT, nTSize))); +} + +double CAAELP2000::EclipticLongitude(double JD) noexcept +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return EclipticLongitude(t.data(), 5); +} + +#ifdef _MSC_VER +#pragma warning(suppress : 26429) +#endif //#ifdef _MSC_VER +double CAAELP2000::EclipticLatitude(const double* pT, int nTSize) noexcept +{ + //Validate our parameters + assert(pT != nullptr); + assert(nTSize >= 2); + + //Compute the delaney arguments for the specified time + const double fD = MoonMeanSolarElongation(pT, nTSize); + const double fldash = SunMeanAnomaly(pT, nTSize); + const double fl = MoonMeanAnomaly(pT, nTSize); + const double fF = MoonMeanArgumentOfLatitude(pT, nTSize); + const double fD2 = MoonMeanSolarElongation(pT, 2); + const double fldash2 = SunMeanAnomaly(pT, 2); + const double fl2 = MoonMeanAnomaly(pT, 2); + const double fF2 = MoonMeanArgumentOfLatitude(pT, 2); + + //Compute the planet mean longitudes for the specified time + const double fMe = MercuryMeanLongitude(pT[1]); + const double fV = VenusMeanLongitude(pT[1]); + const double fT = MeanHeliocentricMeanLongitudeEarthMoonBarycentre(pT, 2); + const double fMa = MarsMeanLongitude(pT[1]); + const double fJ = JupiterMeanLongitude(pT[1]); + const double fS = SaturnMeanLongitude(pT[1]); + const double fU = UranusMeanLongitude(pT[1]); + const double fN = NeptuneMeanLongitude(pT[1]); + + //Calculate the Longitude + const double B = Accumulate(g_ELP2.data(), g_ELP2.size(), fD, fldash, fl, fF) + + Accumulate(pT, nTSize, g_ELP5.data(), g_ELP5.size(), fD2, fldash2, fl2, fF2, false) + + Accumulate_2(pT, nTSize, g_ELP8.data(), g_ELP8.size(), fD2, fldash2, fl2, fF2, false) + + AccumulateTable1(g_ELP11.data(), g_ELP11.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable1_2(pT, nTSize, g_ELP14.data(), g_ELP14.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable2(g_ELP17.data(), g_ELP17.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + AccumulateTable2_2(pT, nTSize, g_ELP20.data(), g_ELP20.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + Accumulate(pT, nTSize, g_ELP23.data(), g_ELP23.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_2(pT, nTSize, g_ELP26.data(), g_ELP26.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP29.data(), g_ELP29.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP32.data(), g_ELP32.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_3(pT, nTSize, g_ELP35.data(), g_ELP35.size(), fD2, fldash2, fl2, fF2); + return CAACoordinateTransformation::MapToMinus90To90Range(B/3600.0); +} + +double CAAELP2000::EclipticLatitude(double JD) noexcept +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return EclipticLatitude(t.data(), 5); +} + +#ifdef _MSC_VER +#pragma warning(suppress : 26429) +#endif //#ifdef _MSC_VER +double CAAELP2000::RadiusVector(const double* pT, int nTSize) noexcept +{ + //Validate our parameters + assert(pT != nullptr); + assert(nTSize >= 2); + + //Compute the delaney arguments for the specified time + const double fD = MoonMeanSolarElongation(pT, nTSize); + const double fldash = SunMeanAnomaly(pT, nTSize); + const double fl = MoonMeanAnomaly(pT, nTSize); + const double fF = MoonMeanArgumentOfLatitude(pT, nTSize); + const double fD2 = MoonMeanSolarElongation(pT, 2); + const double fldash2 = SunMeanAnomaly(pT, 2); + const double fl2 = MoonMeanAnomaly(pT, 2); + const double fF2 = MoonMeanArgumentOfLatitude(pT, 2); + + //Compute the planet mean longitudes for the specified time + const double fMe = MercuryMeanLongitude(pT[1]); + const double fV = VenusMeanLongitude(pT[1]); + const double fT = MeanHeliocentricMeanLongitudeEarthMoonBarycentre(pT, 2); + const double fMa = MarsMeanLongitude(pT[1]); + const double fJ = JupiterMeanLongitude(pT[1]); + const double fS = SaturnMeanLongitude(pT[1]); + const double fU = UranusMeanLongitude(pT[1]); + const double fN = NeptuneMeanLongitude(pT[1]); + + //Calculate the Longitude + const double fValue = Accumulate_2(g_ELP3.data(), g_ELP3.size(), fD, fldash, fl, fF) + + Accumulate(pT, nTSize, g_ELP6.data(), g_ELP6.size(), fD2, fldash2, fl2, fF2, false) + + Accumulate_2(pT, nTSize, g_ELP9.data(), g_ELP9.size(), fD2, fldash2, fl2, fF2, false) + + AccumulateTable1(g_ELP12.data(), g_ELP12.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable1_2(pT, nTSize, g_ELP15.data(), g_ELP15.size(), fD2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU, fN) + + AccumulateTable2(g_ELP18.data(), g_ELP18.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + AccumulateTable2_2(pT, nTSize, g_ELP21.data(), g_ELP21.size(), fD2, fldash2, fl2, fF2, fMe, fV, fT, fMa, fJ, fS, fU) + + Accumulate(pT, nTSize, g_ELP24.data(), g_ELP24.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_2(pT, nTSize, g_ELP27.data(), g_ELP27.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP30.data(), g_ELP30.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate(pT, nTSize, g_ELP33.data(), g_ELP33.size(), fD2, fldash2, fl2, fF2, true) + + Accumulate_3(pT, nTSize, g_ELP36.data(), g_ELP36.size(), fD2, fldash2, fl2, fF2); + return fValue * 384747.9806448954 / 384747.9806743165; +} + +double CAAELP2000::RadiusVector(double JD) noexcept +{ + //Calculate Julian centuries + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + return RadiusVector(t.data(), 5); +} + +CAA3DCoordinate CAAELP2000::EclipticRectangularCoordinates(double JD) noexcept +{ + double fLongitude = EclipticLongitude(JD); + double fLatitude = EclipticLatitude(JD); + const double fR = RadiusVector(JD); + + CAA3DCoordinate value; + fLongitude = CAACoordinateTransformation::DegreesToRadians(fLongitude); + fLatitude = CAACoordinateTransformation::DegreesToRadians(fLatitude); + const double fCosLat = cos(fLatitude); + value.X = fR * cos(fLongitude) * fCosLat; + value.Y = fR * sin(fLongitude) * fCosLat; + value.Z = fR * sin(fLatitude); + + return value; +} + +CAA3DCoordinate CAAELP2000::EclipticRectangularCoordinatesJ2000(double JD) noexcept +{ + array t{}; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + const double P = (1.0180391e-5 + 4.7020439e-7*t[1] + -5.417367e-10*t[2] + -2.507948e-12*t[3] + 4.63486e-15*t[4]) * t[1]; + const double Q = (-1.13469002e-4 + 1.2372674e-7*t[1] + 1.265417e-9*t[2] + -1.371808e-12*t[3] + -3.20334e-15*t[4]) * t[1]; + const double TwoP = 2*P; + const double P2 = P*P; + const double Q2 = Q*Q; + const double OneMinus2P2 = 1 - 2*P2; + const double TwoPQ = TwoP*Q; + const double Twosqrt1MinusPart = 2*sqrt(1 - P2 - Q2); + + const CAA3DCoordinate Ecliptic = EclipticRectangularCoordinates(JD); + + CAA3DCoordinate J2000; + J2000.X = (OneMinus2P2*Ecliptic.X) + (TwoPQ*Ecliptic.Y) + (P*Twosqrt1MinusPart*Ecliptic.Z); + J2000.Y = (TwoPQ*Ecliptic.X) + ((1 - 2 * Q2)*Ecliptic.Y) - (Q*Twosqrt1MinusPart*Ecliptic.Z); + J2000.Z = (-P*Twosqrt1MinusPart*Ecliptic.X) + (Q*Twosqrt1MinusPart*Ecliptic.Y) + ((1-2*P2-2*Q2)*Ecliptic.Z); + + return J2000; +} + +CAA3DCoordinate CAAELP2000::EquatorialRectangularCoordinatesFK5(double JD) noexcept +{ + const CAA3DCoordinate J2000 = EclipticRectangularCoordinatesJ2000(JD); + + CAA3DCoordinate FK5; + FK5.X = J2000.X + (0.000000437913*J2000.Y) - (0.000000189859*J2000.Z); + FK5.Y = (-0.000000477299*J2000.X) + (0.917482137607*J2000.Y) - (0.397776981701*J2000.Z); + FK5.Z = (0.397776981701*J2000.Y) + (0.917482137607*J2000.Z); + + return FK5; +} diff --git a/Sources/AAPlus/include/AAELP2000.h b/Sources/AAPlus/include/AAELP2000.h new file mode 100644 index 0000000..5d03111 --- /dev/null +++ b/Sources/AAPlus/include/AAELP2000.h @@ -0,0 +1,122 @@ +/* +Module : AAELP2000.h +Purpose: Implementation for the algorithms for ELP2000-82B +Created: PJN / 28-12-2015 +History: PJN / 28-12-2015 1. Initial public release. + +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif + +#ifndef __AAELP2000_H__ +#define __AAELP2000_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include +#include +#include "AA3DCoordinate.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +struct AAPLUS_EXT_CLASS ELP2000MainProblemCoefficient +{ + std::array m_I; + double m_A; + std::array m_B; +}; + +struct AAPLUS_EXT_CLASS ELP2000EarthTidalMoonRelativisticSolarEccentricityCoefficient +{ + int m_IZ; + std::array m_I; + double m_O; + double m_A; + double m_P; +}; + +struct AAPLUS_EXT_CLASS ELP2000PlanetPertCoefficient +{ + std::array m_ip; + double m_theta; + double m_O; + double m_P; +}; + +class AAPLUS_EXT_CLASS CAAELP2000 +{ +public: +//Static methods + static double EclipticLongitude(double JD) noexcept; + static double EclipticLongitude(const double* pT, int nTSize) noexcept; + static double EclipticLatitude(double JD) noexcept; + static double EclipticLatitude(const double* pT, int nTSize) noexcept; + static double RadiusVector(double JD) noexcept; + static double RadiusVector(const double* pT, int nTSize) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinates(double JD) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double JD) noexcept; + static CAA3DCoordinate EquatorialRectangularCoordinatesFK5(double JD) noexcept; + static double MoonMeanMeanLongitude(const double* pT, int nTSize) noexcept; + static double MoonMeanMeanLongitude(double JD) noexcept; + static double MeanLongitudeLunarPerigee(const double* pT, int nTSize) noexcept; + static double MeanLongitudeLunarPerigee(double JD) noexcept; + static double MeanLongitudeLunarAscendingNode(const double* pT, int nTSize) noexcept; + static double MeanLongitudeLunarAscendingNode(double JD) noexcept; + static double MeanHeliocentricMeanLongitudeEarthMoonBarycentre(const double* pT, int nTSize) noexcept; + static double MeanHeliocentricMeanLongitudeEarthMoonBarycentre(double JD) noexcept; + static double MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(const double* pT, int nTSize) noexcept; + static double MeanLongitudeOfPerilhelionOfEarthMoonBarycentre(double JD) noexcept; + static double MoonMeanSolarElongation(const double* pT, int nTSize) noexcept; + static double MoonMeanSolarElongation(double JD) noexcept; + static double SunMeanAnomaly(const double* pT, int nTSize) noexcept; + static double SunMeanAnomaly(double JD) noexcept; + static double MoonMeanAnomaly(const double* pT, int nTSize) noexcept; + static double MoonMeanAnomaly(double JD) noexcept; + static double MoonMeanArgumentOfLatitude(const double* pT, int nTSize) noexcept; + static double MoonMeanArgumentOfLatitude(double JD) noexcept; + static double MercuryMeanLongitude(double T) noexcept; + static double VenusMeanLongitude(double T) noexcept; + static double MarsMeanLongitude(double T) noexcept; + static double JupiterMeanLongitude(double T) noexcept; + static double SaturnMeanLongitude(double T) noexcept; + static double UranusMeanLongitude(double T) noexcept; + static double NeptuneMeanLongitude(double T) noexcept; + +protected: +//static methods + static double Accumulate(const ELP2000MainProblemCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF) noexcept; + static double Accumulate_2(const ELP2000MainProblemCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF) noexcept; + static double Accumulate(const double* pT, int nTSize, const ELP2000EarthTidalMoonRelativisticSolarEccentricityCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF, bool bI1isZero) noexcept; + static double Accumulate_2(const double* pT, int nTSize, const ELP2000EarthTidalMoonRelativisticSolarEccentricityCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF, bool bI1isZero) noexcept; + static double AccumulateTable1(const ELP2000PlanetPertCoefficient* pCoefficients, size_t nCoefficients, double fD, double fl, double fF, double fMe, double fV, double fT, double fMa, double fJ, double fS, double fU, double fN) noexcept; + static double AccumulateTable1_2(const double* pT, int nTSize, const ELP2000PlanetPertCoefficient* pCoefficients, size_t nCoefficients, double fD, double fl, double fF, double fMe, double fV, double fT, double fMa, double fJ, double fS, double fU, double fN) noexcept; + static double AccumulateTable2(const ELP2000PlanetPertCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF, double fMe, double fV, double fT, double fMa, double fJ, double fS, double fU) noexcept; + static double AccumulateTable2_2(const double* pT, int nTSize, const ELP2000PlanetPertCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF, double fMe, double fV, double fT, double fMa, double fJ, double fS, double fU) noexcept; + static double Accumulate_3(const double* pT, int nTSize, const ELP2000EarthTidalMoonRelativisticSolarEccentricityCoefficient* pCoefficients, size_t nCoefficients, double fD, double fldash, double fl, double fF) noexcept; +}; + + +#endif //#ifndef __AAELP2000_H__ diff --git a/Sources/AAPlus/include/AAELPMPP02.cpp b/Sources/AAPlus/include/AAELPMPP02.cpp new file mode 100644 index 0000000..0443a04 --- /dev/null +++ b/Sources/AAPlus/include/AAELPMPP02.cpp @@ -0,0 +1,47590 @@ +/* +Module : AAELPMPP2.cpp +Purpose: Implementation for the algorithms for ELP/MPP02 +Created: PJN / 30-07-2017 +History: PJN / 30-07-2017 1. Initial public release. + PJN / 01-08-2017 1. Lookup tables in AAELPMPP02.cpp now consistently use lowercase "e" when declaring values + in lookup tables. + PJN / 08-06-2019 1. Updated the code to clean compile on VC 2019 + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 18-04-2020 1. Reworked C arrays to use std::array + PJN / 29-04-2020 1. Fixed a compilation issue on GCC where size_t was undefined in various modules. Thanks + to Bert Devlieghe for reporting this bug. + PJN / 23-11-2020 1. Reworked CAAELPMPP02::EclipticLatitude & CAAELPMPP02::RadiusVector methods to use + std::array::size instead of sizeof. + +Copyright (c) 2017 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////////////// Includes ////////////////////////////////////// + +#include "stdafx.h" +#include "AAELPMPP02.h" +#include "AACoordinateTransformation.h" +#include "AA3DCoordinate.h" +#include "AADefines.h" +#include +#include +#include +#include +using namespace std; + + +////////////////////////////// Macros / Defines /////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26481 26482 26485) +#endif //#ifdef _MSC_VER + +constexpr array, 3> g_W_Nominal +{ { + { 3.8103440873402215, //CAACoordinateTransformation::DegreesToRadians(218 + 18/60.0 + 59.95571/3600.0 - 0.0708/3600.0) + 8399.6847317739157, //CAACoordinateTransformation::DegreesToRadians(1732559343.73604 / 3600.0), + -3.3008054664661645e-05, //CAACoordinateTransformation::DegreesToRadians(-6.8084 / 3600.0) + 3.2017095500473753e-08, //CAACoordinateTransformation::DegreesToRadians(0.006604 / 3600.0), + -1.5363745554361199e-10 //CAACoordinateTransformation::DegreesToRadians(-0.00003169 / 3600.0), + }, + { + 1.4547885323225087, //CAACoordinateTransformation::DegreesToRadians(83 + 21/60.0 + 11.67475/3600.0) + 70.993305079674201, //CAACoordinateTransformation::DegreesToRadians(14643420.3171 / 3600.0), + -0.00018550425880294177, //CAACoordinateTransformation::DegreesToRadians(-38.263 / 3600.0), + -2.1839401892941267e-07, //CAACoordinateTransformation::DegreesToRadians(-0.045047 / 3600.0), + 1.0327016221314225e-09 //CAACoordinateTransformation::DegreesToRadians(0.00021301 / 3600.0) + }, + { + 2.1824391972168398, //CAACoordinateTransformation::DegreesToRadians(125 + 2/60.0 + 40.39816/3600.0), + -33.781427210382816, //CAACoordinateTransformation::DegreesToRadians(-6967919.5383 / 3600.0) + 3.0829301981755397e-05, //CAACoordinateTransformation::DegreesToRadians(6.359 / 3600.0), + 3.6967043184602122e-08, //CAACoordinateTransformation::DegreesToRadians(0.007625 / 3600.0), + -1.7385418604587962e-10 //CAACoordinateTransformation::DegreesToRadians(-0.00003586 / 3600.0) + } +} }; + +constexpr array, 3> g_W_LLR +{ { + { + 3.8103439203219081, + 8399.6847302074329, + -3.3189520425500942e-05, + 3.2017095500473753e-08, + -1.5363745554361197e-10 + }, + { + 1.4547893480700087, + 70.99330548230661, + -0.00018550474361662286, + -2.1839401892941265e-07, + 1.0327016221314225e-09 + }, + { + 2.1824386755573193, + -33.781427433053146, + 3.082930198175539e-05, + 3.6967043184602116e-08, + -1.738541860458796e-10 + } +} }; + +constexpr array, 3> g_W_DE405 +{ { + { + 3.8103440908308803, + 8399.68473007193, + -3.3189520425500942e-05, + 3.2017095500473753e-08, + -1.5363745554361197e-10 + }, + { + 1.4547895404440776, + 70.993305448479248, + -0.00018550474361662286, + -2.1839401892941265e-07, + 1.0327016221314225e-09 + }, + { + 2.1824388474237688, + -33.781427419672326, + 3.082930198175539e-05, + 3.6967043184602116e-08, + -1.738541860458796e-10 + } +} }; + +constexpr array, 3> g_W_DE406 +{ { + { + 3.8103440908308803, + 8399.68473007193, + -3.3189520425500942e-05, + 3.1102494491060616e-08, + -2.0328237648922842e-10 + }, + { + 1.4547895404440776, + 70.993305448479248, + -0.00018548192818782712, + -2.1961637966359414e-07, + 1.0327016221314225e-09 + }, + { + 2.1824388474237688, + -33.781427419672326, + 3.0816644950982666e-05, + 3.6447710769397583e-08, + -1.738541860458796e-10 + } +} }; + +constexpr array g_ZETA_Nominal +{ { + 3.8103440873402215, + 8399.7091120695241, + -3.3008054664661645e-05, + 3.2017095500473753e-08, + -1.5363745554361199e-10 +} }; + +constexpr array g_ZETA_LLR +{ { + 3.8103439203219081, + 8399.7091105030413, + -3.3189520425500942e-05, + 3.2017095500473753e-08, + -1.5363745554361197e-10 +} }; + +constexpr array g_ZETA_DE405 +{ { + 3.8103440908308803, + 8399.7091103675375, + -3.3189520425500942e-05, + 3.2017095500473753e-08, + -1.5363745554361197e-10 +} }; + +constexpr array g_ZETA_DE406 +{ { + 3.8103440908308803, + 8399.7091103675375, + -3.3189520425500942e-05, + 3.1102494491060616e-08, + -2.0328237648922842e-10 +} }; + +constexpr array g_EARTH_Nominal +{ { + 1.7534699468639550, //CAACoordinateTransformation::DegreesToRadians(100 + 27/60.0 + 59.13885/3600.0), + 628.30758504554331, //CAACoordinateTransformation::DegreesToRadians(129597742.293 / 3600.0), + -9.7932363584126268e-08, //CAACoordinateTransformation::DegreesToRadians(-0.0202 / 3600.0), + 4.3633231299858238e-11, //CAACoordinateTransformation::DegreesToRadians(0.000009 / 3600.0), + 7.2722052166430391e-13 //CAACoordinateTransformation::DegreesToRadians(0.00000015 / 3600.0) +} }; + +constexpr array g_EARTH_LLR +{ { + 1.753469752356706, + 628.30758511545343, + -9.7932363584126268e-08, + 4.3633231299858238e-11, + 7.2722052166430391e-13 +} }; + +constexpr array g_EARTH_DE405 +{ { + 1.7534699452640696, + 628.30758508103156, + -9.7932363584126268e-08, + 4.3633231299858238e-11, + 7.2722052166430391e-13 +} }; + +constexpr const array& g_EARTH_DE406 = g_EARTH_DE405; + +constexpr array g_PERI_Nominal +{ { + 1.7965956117694057, //CAACoordinateTransformation::DegreesToRadians(102 + 56/60.0 + 14.445766/3600.0), + 0.0056298669711442699, //CAACoordinateTransformation::DegreesToRadians(1161.24342 / 3600.0), + 2.5659491293243858e-06, //CAACoordinateTransformation::DegreesToRadians(0.529265 / 3600.0), + -5.7275888286280579e-10, //CAACoordinateTransformation::DegreesToRadians(-0.00011814 / 3600.0), + 5.5166948773454099e-11 //CAACoordinateTransformation::DegreesToRadians(0.000011379 / 3600.0) +} }; + +constexpr array g_PERI_LLR +{ { + 1.7965954341045842, + 0.00562986697114427, + 2.5659491293243853e-06, + -5.7275888286280579e-10, + 5.51669487734541e-11 +} }; + +constexpr array g_PERI_DE405 +{ { + 1.7965956331206, + 0.00562986697114427, + 2.5659491293243853e-06, + -5.7275888286280579e-10, + 5.51669487734541e-11 +} }; + +constexpr array g_PERI_DE406 +{ { + 1.7965956331206, + 0.00562986697114427, + 2.5659491293243853e-06, + -5.7275888286280579e-10, + 5.51669487734541e-11 +} }; + +constexpr array, 8> g_P +{ { + { 4.4026086342191189, 2608.7903141569259 }, //{ CAACoordinateTransformation::DegreesToRadians(252 + 15/60.0 + 3.216919/3600.0), CAACoordinateTransformation::DegreesToRadians(538101628.68888 / 3600.0) }, + { 3.1761344571511088, 1021.3285547385308 }, //{ CAACoordinateTransformation::DegreesToRadians(181 + 58/60.0 + 44.758419/3600.0), CAACoordinateTransformation::DegreesToRadians(210664136.45777 / 3600.0) }, + { 1.7534699468639550, 628.30758504554331 }, //{ CAACoordinateTransformation::DegreesToRadians(100 + 27/60.0 + 59.13885/3600.0), CAACoordinateTransformation::DegreesToRadians(129597742.293 / 3600.0) }, + { 6.2034995986912955, 334.06124347172772 }, //{ CAACoordinateTransformation::DegreesToRadians(355 + 26/60.0 + 3.642778/3600.0), CAACoordinateTransformation::DegreesToRadians(68905077.65936 / 3600.0) }, + { 0.59954667808842876, 52.969097211191368 }, //{ CAACoordinateTransformation::DegreesToRadians(34 + 21/60.0 + 5.379392/3600.0), CAACoordinateTransformation::DegreesToRadians(10925660.57335 / 3600.0) }, + { 0.87401678344988065, 21.329907977851814 }, //{ CAACoordinateTransformation::DegreesToRadians(50 + 4/60.0 + 38.902495/3600.0), CAACoordinateTransformation::DegreesToRadians(4399609.33632 / 3600.0) }, + { 5.4812276258103312, 7.4781665690567305 }, //{ CAACoordinateTransformation::DegreesToRadians(314 + 3/60.0 + 4.354234/3600.0), CAACoordinateTransformation::DegreesToRadians(1542482.57845 / 3600.0) }, + { 5.3118941049906994, 3.8132918131353417 } //{ CAACoordinateTransformation::DegreesToRadians(304 + 20/60.0 + 56.808371/3600.0), CAACoordinateTransformation::DegreesToRadians(786547.89700 / 3600.0) } +} }; + +struct AAPLUS_EXT_CLASS ELPMPP02MainProblemNominalCoefficient +{ + array m_I; +}; + +constexpr array g_MAIN_S1 +{ { + { 0, 2, 0, 0 }, + { 0, 4, 0, 0 }, + { 0, 6, 0, 0 }, + { 0, -6, 1, 0 }, + { 0, -4, 1, 0 }, + { 0, -2, 1, 0 }, + { 0, 0, 1, 0 }, + { 0, 2, 1, 0 }, + { 0, 4, 1, 0 }, + { 0, 6, 1, 0 }, + { 0, -4, 2, 0 }, + { 0, -2, 2, 0 }, + { 0, 0, 2, 0 }, + { 0, 2, 2, 0 }, + { 0, 4, 2, 0 }, + { 0, 6, 2, 0 }, + { 0, -4, 3, 0 }, + { 0, -2, 3, 0 }, + { 0, 0, 3, 0 }, + { 0, 2, 3, 0 }, + { 0, 4, 3, 0 }, + { 0, -2, 4, 0 }, + { 0, 0, 4, 0 }, + { 0, 2, 4, 0 }, + { 0, 4, 4, 0 }, + { 0, -2, 5, 0 }, + { 0, 0, 5, 0 }, + { 0, 2, 5, 0 }, + { 0, 4, 5, 0 }, + { 0, -2, 6, 0 }, + { 0, 0, 6, 0 }, + { 0, 2, 6, 0 }, + { 0, 0, 7, 0 }, + { 0, 2, 7, 0 }, + { 0, 0, 8, 0 }, + { 0, 0, -7, 1 }, + { 0, 0, -6, 1 }, + { 0, -2, -5, 1 }, + { 0, 0, -5, 1 }, + { 0, -2, -4, 1 }, + { 0, 0, -4, 1 }, + { 0, 2, -4, 1 }, + { 0, -4, -3, 1 }, + { 0, -2, -3, 1 }, + { 0, 0, -3, 1 }, + { 0, 2, -3, 1 }, + { 0, -4, -2, 1 }, + { 0, -2, -2, 1 }, + { 0, 0, -2, 1 }, + { 0, 2, -2, 1 }, + { 0, 4, -2, 1 }, + { 0, -4, -1, 1 }, + { 0, -2, -1, 1 }, + { 0, 0, -1, 1 }, + { 0, 2, -1, 1 }, + { 0, 4, -1, 1 }, + { 0, -4, 0, 1 }, + { 0, -2, 0, 1 }, + { 0, 0, 0, 1 }, + { 0, 2, 0, 1 }, + { 0, 4, 0, 1 }, + { 0, -4, 1, 1 }, + { 0, -2, 1, 1 }, + { 0, 0, 1, 1 }, + { 0, 2, 1, 1 }, + { 0, 4, 1, 1 }, + { 0, -4, 2, 1 }, + { 0, -2, 2, 1 }, + { 0, 0, 2, 1 }, + { 0, 2, 2, 1 }, + { 0, 4, 2, 1 }, + { 0, -2, 3, 1 }, + { 0, 0, 3, 1 }, + { 0, 2, 3, 1 }, + { 0, 4, 3, 1 }, + { 0, -2, 4, 1 }, + { 0, 0, 4, 1 }, + { 0, 2, 4, 1 }, + { 0, -2, 5, 1 }, + { 0, 0, 5, 1 }, + { 0, 2, 5, 1 }, + { 0, 0, 6, 1 }, + { 0, 0, 7, 1 }, + { 0, 0, -5, 2 }, + { 0, -2, -4, 2 }, + { 0, 0, -4, 2 }, + { 0, -2, -3, 2 }, + { 0, 0, -3, 2 }, + { 0, 2, -3, 2 }, + { 0, -2, -2, 2 }, + { 0, 0, -2, 2 }, + { 0, 2, -2, 2 }, + { 0, -2, -1, 2 }, + { 0, 0, -1, 2 }, + { 0, 2, -1, 2 }, + { 0, -2, 0, 2 }, + { 0, 0, 0, 2 }, + { 0, 2, 0, 2 }, + { 0, 4, 0, 2 }, + { 0, -2, 1, 2 }, + { 0, 0, 1, 2 }, + { 0, 2, 1, 2 }, + { 0, -2, 2, 2 }, + { 0, 0, 2, 2 }, + { 0, 2, 2, 2 }, + { 0, -2, 3, 2 }, + { 0, 0, 3, 2 }, + { 0, 2, 3, 2 }, + { 0, 0, 4, 2 }, + { 0, 0, -4, 3 }, + { 0, 0, -3, 3 }, + { 0, -2, -2, 3 }, + { 0, 0, -2, 3 }, + { 0, 2, -2, 3 }, + { 0, -2, -1, 3 }, + { 0, 0, -1, 3 }, + { 0, 2, -1, 3 }, + { 0, -2, 0, 3 }, + { 0, 0, 0, 3 }, + { 0, 2, 0, 3 }, + { 0, 0, 1, 3 }, + { 0, 2, 1, 3 }, + { 0, 0, 2, 3 }, + { 0, 0, 3, 3 }, + { 0, 0, -2, 4 }, + { 0, 0, -1, 4 }, + { 0, 0, 0, 4 }, + { 0, 0, 1, 4 }, + { 0, 0, 2, 4 }, + { 0, 0, -1, 5 }, + { 1, 0, 0, -4 }, + { 1, 0, -2, -3 }, + { 1, 0, -1, -3 }, + { 1, 0, 0, -3 }, + { 1, 0, 1, -3 }, + { 1, 0, 2, -3 }, + { 1, 0, -3, -2 }, + { 1, 0, -2, -2 }, + { 1, -2, -1, -2 }, + { 1, 0, -1, -2 }, + { 1, -2, 0, -2 }, + { 1, 0, 0, -2 }, + { 1, 2, 0, -2 }, + { 1, -2, 1, -2 }, + { 1, 0, 1, -2 }, + { 1, 0, 2, -2 }, + { 1, 0, 3, -2 }, + { 1, 0, -5, -1 }, + { 1, 0, -4, -1 }, + { 1, -2, -3, -1 }, + { 1, 0, -3, -1 }, + { 1, 2, -3, -1 }, + { 1, -2, -2, -1 }, + { 1, 0, -2, -1 }, + { 1, 2, -2, -1 }, + { 1, -2, -1, -1 }, + { 1, 0, -1, -1 }, + { 1, 2, -1, -1 }, + { 1, -4, 0, -1 }, + { 1, -2, 0, -1 }, + { 1, 0, 0, -1 }, + { 1, 2, 0, -1 }, + { 1, -2, 1, -1 }, + { 1, 0, 1, -1 }, + { 1, 2, 1, -1 }, + { 1, -2, 2, -1 }, + { 1, 0, 2, -1 }, + { 1, 2, 2, -1 }, + { 1, -2, 3, -1 }, + { 1, 0, 3, -1 }, + { 1, 2, 3, -1 }, + { 1, 0, 4, -1 }, + { 1, 0, 5, -1 }, + { 1, 0, -6, 0 }, + { 1, -2, -5, 0 }, + { 1, 0, -5, 0 }, + { 1, -2, -4, 0 }, + { 1, 0, -4, 0 }, + { 1, 2, -4, 0 }, + { 1, -2, -3, 0 }, + { 1, 0, -3, 0 }, + { 1, 2, -3, 0 }, + { 1, -4, -2, 0 }, + { 1, -2, -2, 0 }, + { 1, 0, -2, 0 }, + { 1, 2, -2, 0 }, + { 1, -4, -1, 0 }, + { 1, -2, -1, 0 }, + { 1, 0, -1, 0 }, + { 1, 2, -1, 0 }, + { 1, 4, -1, 0 }, + { 1, -4, 0, 0 }, + { 1, -2, 0, 0 }, + { 1, 0, 0, 0 }, + { 1, 2, 0, 0 }, + { 1, 4, 0, 0 }, + { 1, -4, 1, 0 }, + { 1, -2, 1, 0 }, + { 1, 0, 1, 0 }, + { 1, 2, 1, 0 }, + { 1, 4, 1, 0 }, + { 1, -2, 2, 0 }, + { 1, 0, 2, 0 }, + { 1, 2, 2, 0 }, + { 1, 4, 2, 0 }, + { 1, -2, 3, 0 }, + { 1, 0, 3, 0 }, + { 1, 2, 3, 0 }, + { 1, 0, 4, 0 }, + { 1, 2, 4, 0 }, + { 1, 0, 5, 0 }, + { 1, 0, 6, 0 }, + { 1, 0, -5, 1 }, + { 1, -2, -4, 1 }, + { 1, 0, -4, 1 }, + { 1, -2, -3, 1 }, + { 1, 0, -3, 1 }, + { 1, 2, -3, 1 }, + { 1, -2, -2, 1 }, + { 1, 0, -2, 1 }, + { 1, 2, -2, 1 }, + { 1, -2, -1, 1 }, + { 1, 0, -1, 1 }, + { 1, 2, -1, 1 }, + { 1, -2, 0, 1 }, + { 1, 0, 0, 1 }, + { 1, 2, 0, 1 }, + { 1, 4, 0, 1 }, + { 1, -2, 1, 1 }, + { 1, 0, 1, 1 }, + { 1, 2, 1, 1 }, + { 1, 4, 1, 1 }, + { 1, -2, 2, 1 }, + { 1, 0, 2, 1 }, + { 1, 2, 2, 1 }, + { 1, -2, 3, 1 }, + { 1, 0, 3, 1 }, + { 1, 2, 3, 1 }, + { 1, 0, 4, 1 }, + { 1, 0, 5, 1 }, + { 1, 0, -4, 2 }, + { 1, 0, -3, 2 }, + { 1, 0, -2, 2 }, + { 1, 0, -1, 2 }, + { 1, 2, -1, 2 }, + { 1, -2, 0, 2 }, + { 1, 0, 0, 2 }, + { 1, 2, 0, 2 }, + { 1, -2, 1, 2 }, + { 1, 0, 1, 2 }, + { 1, 2, 1, 2 }, + { 1, 0, 2, 2 }, + { 1, 2, 2, 2 }, + { 1, 0, 3, 2 }, + { 1, 0, 4, 2 }, + { 1, 0, -2, 3 }, + { 1, 0, -1, 3 }, + { 1, -2, 0, 3 }, + { 1, 0, 0, 3 }, + { 1, 0, 1, 3 }, + { 1, 0, 0, 4 }, + { 2, 0, 0, -6 }, + { 2, 0, -2, -5 }, + { 2, 0, -1, -5 }, + { 2, 0, 0, -5 }, + { 2, 0, 1, -5 }, + { 2, 0, -3, -4 }, + { 2, 0, -2, -4 }, + { 2, 0, -1, -4 }, + { 2, 2, -1, -4 }, + { 2, -2, 0, -4 }, + { 2, 0, 0, -4 }, + { 2, 2, 0, -4 }, + { 2, -2, 1, -4 }, + { 2, 0, 1, -4 }, + { 2, 0, 2, -4 }, + { 2, 0, 3, -4 }, + { 2, 0, -4, -3 }, + { 2, 0, -3, -3 }, + { 2, -2, -2, -3 }, + { 2, 0, -2, -3 }, + { 2, 2, -2, -3 }, + { 2, -2, -1, -3 }, + { 2, 0, -1, -3 }, + { 2, 2, -1, -3 }, + { 2, -2, 0, -3 }, + { 2, 0, 0, -3 }, + { 2, 2, 0, -3 }, + { 2, -2, 1, -3 }, + { 2, 0, 1, -3 }, + { 2, 2, 1, -3 }, + { 2, -2, 2, -3 }, + { 2, 0, 2, -3 }, + { 2, 2, 2, -3 }, + { 2, 0, 3, -3 }, + { 2, 0, 4, -3 }, + { 2, 0, -5, -2 }, + { 2, -2, -4, -2 }, + { 2, 0, -4, -2 }, + { 2, -2, -3, -2 }, + { 2, 0, -3, -2 }, + { 2, -2, -2, -2 }, + { 2, 0, -2, -2 }, + { 2, 2, -2, -2 }, + { 2, -2, -1, -2 }, + { 2, 0, -1, -2 }, + { 2, 2, -1, -2 }, + { 2, 4, -1, -2 }, + { 2, -4, 0, -2 }, + { 2, -2, 0, -2 }, + { 2, 0, 0, -2 }, + { 2, 2, 0, -2 }, + { 2, 4, 0, -2 }, + { 2, -4, 1, -2 }, + { 2, -2, 1, -2 }, + { 2, 0, 1, -2 }, + { 2, 2, 1, -2 }, + { 2, 4, 1, -2 }, + { 2, -2, 2, -2 }, + { 2, 0, 2, -2 }, + { 2, 2, 2, -2 }, + { 2, -2, 3, -2 }, + { 2, 0, 3, -2 }, + { 2, 2, 3, -2 }, + { 2, 0, 4, -2 }, + { 2, 0, 5, -2 }, + { 2, 0, -6, -1 }, + { 2, -2, -5, -1 }, + { 2, 0, -5, -1 }, + { 2, -2, -4, -1 }, + { 2, 0, -4, -1 }, + { 2, 2, -4, -1 }, + { 2, -4, -3, -1 }, + { 2, -2, -3, -1 }, + { 2, 0, -3, -1 }, + { 2, 2, -3, -1 }, + { 2, -4, -2, -1 }, + { 2, -2, -2, -1 }, + { 2, 0, -2, -1 }, + { 2, 2, -2, -1 }, + { 2, 4, -2, -1 }, + { 2, -4, -1, -1 }, + { 2, -2, -1, -1 }, + { 2, 0, -1, -1 }, + { 2, 2, -1, -1 }, + { 2, 4, -1, -1 }, + { 2, -4, 0, -1 }, + { 2, -2, 0, -1 }, + { 2, 0, 0, -1 }, + { 2, 2, 0, -1 }, + { 2, 4, 0, -1 }, + { 2, -4, 1, -1 }, + { 2, -2, 1, -1 }, + { 2, 0, 1, -1 }, + { 2, 2, 1, -1 }, + { 2, 4, 1, -1 }, + { 2, -4, 2, -1 }, + { 2, -2, 2, -1 }, + { 2, 0, 2, -1 }, + { 2, 2, 2, -1 }, + { 2, 4, 2, -1 }, + { 2, -2, 3, -1 }, + { 2, 0, 3, -1 }, + { 2, 2, 3, -1 }, + { 2, -2, 4, -1 }, + { 2, 0, 4, -1 }, + { 2, 2, 4, -1 }, + { 2, -2, 5, -1 }, + { 2, 0, 5, -1 }, + { 2, 2, 5, -1 }, + { 2, 0, 6, -1 }, + { 2, 0, -8, 0 }, + { 2, 0, -7, 0 }, + { 2, -2, -6, 0 }, + { 2, 0, -6, 0 }, + { 2, -2, -5, 0 }, + { 2, 0, -5, 0 }, + { 2, 2, -5, 0 }, + { 2, -4, -4, 0 }, + { 2, -2, -4, 0 }, + { 2, 0, -4, 0 }, + { 2, 2, -4, 0 }, + { 2, -4, -3, 0 }, + { 2, -2, -3, 0 }, + { 2, 0, -3, 0 }, + { 2, 2, -3, 0 }, + { 2, 4, -3, 0 }, + { 2, -4, -2, 0 }, + { 2, -2, -2, 0 }, + { 2, 0, -2, 0 }, + { 2, 2, -2, 0 }, + { 2, 4, -2, 0 }, + { 2, -6, -1, 0 }, + { 2, -4, -1, 0 }, + { 2, -2, -1, 0 }, + { 2, 0, -1, 0 }, + { 2, 2, -1, 0 }, + { 2, 4, -1, 0 }, + { 2, 6, -1, 0 }, + { 2, -6, 0, 0 }, + { 2, -4, 0, 0 }, + { 2, -2, 0, 0 }, + { 2, 0, 0, 0 }, + { 2, 2, 0, 0 }, + { 2, 4, 0, 0 }, + { 2, 6, 0, 0 }, + { 2, -6, 1, 0 }, + { 2, -4, 1, 0 }, + { 2, -2, 1, 0 }, + { 2, 0, 1, 0 }, + { 2, 2, 1, 0 }, + { 2, 4, 1, 0 }, + { 2, 6, 1, 0 }, + { 2, -4, 2, 0 }, + { 2, -2, 2, 0 }, + { 2, 0, 2, 0 }, + { 2, 2, 2, 0 }, + { 2, 4, 2, 0 }, + { 2, -4, 3, 0 }, + { 2, -2, 3, 0 }, + { 2, 0, 3, 0 }, + { 2, 2, 3, 0 }, + { 2, 4, 3, 0 }, + { 2, -2, 4, 0 }, + { 2, 0, 4, 0 }, + { 2, 2, 4, 0 }, + { 2, 4, 4, 0 }, + { 2, -2, 5, 0 }, + { 2, 0, 5, 0 }, + { 2, 2, 5, 0 }, + { 2, -2, 6, 0 }, + { 2, 0, 6, 0 }, + { 2, 2, 6, 0 }, + { 2, 0, 7, 0 }, + { 2, 0, -7, 1 }, + { 2, 0, -6, 1 }, + { 2, -2, -5, 1 }, + { 2, 0, -5, 1 }, + { 2, -2, -4, 1 }, + { 2, 0, -4, 1 }, + { 2, 2, -4, 1 }, + { 2, -2, -3, 1 }, + { 2, 0, -3, 1 }, + { 2, 2, -3, 1 }, + { 2, -4, -2, 1 }, + { 2, -2, -2, 1 }, + { 2, 0, -2, 1 }, + { 2, 2, -2, 1 }, + { 2, -4, -1, 1 }, + { 2, -2, -1, 1 }, + { 2, 0, -1, 1 }, + { 2, 2, -1, 1 }, + { 2, 4, -1, 1 }, + { 2, -4, 0, 1 }, + { 2, -2, 0, 1 }, + { 2, 0, 0, 1 }, + { 2, 2, 0, 1 }, + { 2, 4, 0, 1 }, + { 2, -4, 1, 1 }, + { 2, -2, 1, 1 }, + { 2, 0, 1, 1 }, + { 2, 2, 1, 1 }, + { 2, 4, 1, 1 }, + { 2, -2, 2, 1 }, + { 2, 0, 2, 1 }, + { 2, 2, 2, 1 }, + { 2, 4, 2, 1 }, + { 2, -2, 3, 1 }, + { 2, 0, 3, 1 }, + { 2, 2, 3, 1 }, + { 2, -2, 4, 1 }, + { 2, 0, 4, 1 }, + { 2, 2, 4, 1 }, + { 2, 0, 5, 1 }, + { 2, 0, 6, 1 }, + { 2, 0, -5, 2 }, + { 2, 0, -4, 2 }, + { 2, -2, -3, 2 }, + { 2, 0, -3, 2 }, + { 2, 2, -3, 2 }, + { 2, -2, -2, 2 }, + { 2, 0, -2, 2 }, + { 2, 2, -2, 2 }, + { 2, -4, -1, 2 }, + { 2, -2, -1, 2 }, + { 2, 0, -1, 2 }, + { 2, 2, -1, 2 }, + { 2, 4, -1, 2 }, + { 2, -4, 0, 2 }, + { 2, -2, 0, 2 }, + { 2, 0, 0, 2 }, + { 2, 2, 0, 2 }, + { 2, -2, 1, 2 }, + { 2, 0, 1, 2 }, + { 2, 2, 1, 2 }, + { 2, -2, 2, 2 }, + { 2, 0, 2, 2 }, + { 2, -2, 3, 2 }, + { 2, 0, -3, 3 }, + { 2, 0, -2, 3 }, + { 2, -2, -1, 3 }, + { 2, 0, -1, 3 }, + { 2, -2, 0, 3 }, + { 2, 0, 0, 3 }, + { 2, -2, 1, 3 }, + { 2, 0, 1, 3 }, + { 2, 0, -2, 4 }, + { 2, 0, -1, 4 }, + { 3, 0, -1, -4 }, + { 3, 0, 0, -4 }, + { 3, 0, -2, -3 }, + { 3, 0, -1, -3 }, + { 3, -2, 0, -3 }, + { 3, 0, 0, -3 }, + { 3, 0, 1, -3 }, + { 3, 0, -3, -2 }, + { 3, 0, -2, -2 }, + { 3, -2, -1, -2 }, + { 3, 0, -1, -2 }, + { 3, 2, -1, -2 }, + { 3, -2, 0, -2 }, + { 3, 0, 0, -2 }, + { 3, -2, 1, -2 }, + { 3, 0, 1, -2 }, + { 3, 0, -4, -1 }, + { 3, 0, -3, -1 }, + { 3, 0, -2, -1 }, + { 3, 2, -2, -1 }, + { 3, -2, -1, -1 }, + { 3, 0, -1, -1 }, + { 3, 2, -1, -1 }, + { 3, -4, 0, -1 }, + { 3, -2, 0, -1 }, + { 3, 0, 0, -1 }, + { 3, 2, 0, -1 }, + { 3, -2, 1, -1 }, + { 3, 0, 1, -1 }, + { 3, 2, 1, -1 }, + { 3, -2, 2, -1 }, + { 3, 0, 2, -1 }, + { 3, 2, 2, -1 }, + { 3, 0, 3, -1 }, + { 3, 0, -5, 0 }, + { 3, -2, -4, 0 }, + { 3, 0, -4, 0 }, + { 3, -2, -3, 0 }, + { 3, 0, -3, 0 }, + { 3, 2, -3, 0 }, + { 3, -2, -2, 0 }, + { 3, 0, -2, 0 }, + { 3, 2, -2, 0 }, + { 3, 4, -2, 0 }, + { 3, -4, -1, 0 }, + { 3, -2, -1, 0 }, + { 3, 0, -1, 0 }, + { 3, 2, -1, 0 }, + { 3, 4, -1, 0 }, + { 3, -4, 0, 0 }, + { 3, -2, 0, 0 }, + { 3, 0, 0, 0 }, + { 3, 2, 0, 0 }, + { 3, 4, 0, 0 }, + { 3, -4, 1, 0 }, + { 3, -2, 1, 0 }, + { 3, 0, 1, 0 }, + { 3, 2, 1, 0 }, + { 3, -2, 2, 0 }, + { 3, 0, 2, 0 }, + { 3, 2, 2, 0 }, + { 3, -2, 3, 0 }, + { 3, 0, 3, 0 }, + { 3, 2, 3, 0 }, + { 3, 0, 4, 0 }, + { 3, 0, -5, 1 }, + { 3, 0, -4, 1 }, + { 3, -2, -3, 1 }, + { 3, 0, -3, 1 }, + { 3, 2, -3, 1 }, + { 3, -2, -2, 1 }, + { 3, 0, -2, 1 }, + { 3, 2, -2, 1 }, + { 3, -2, -1, 1 }, + { 3, 0, -1, 1 }, + { 3, 2, -1, 1 }, + { 3, -2, 0, 1 }, + { 3, 0, 0, 1 }, + { 3, 2, 0, 1 }, + { 3, -2, 1, 1 }, + { 3, 0, 1, 1 }, + { 3, 2, 1, 1 }, + { 3, -2, 2, 1 }, + { 3, 0, 2, 1 }, + { 3, 2, 2, 1 }, + { 3, 0, 3, 1 }, + { 3, 0, 4, 1 }, + { 3, 0, -4, 2 }, + { 3, 0, -3, 2 }, + { 3, 0, -2, 2 }, + { 3, -2, -1, 2 }, + { 3, 0, -1, 2 }, + { 3, -2, 0, 2 }, + { 3, 0, 0, 2 }, + { 3, 2, 0, 2 }, + { 3, 0, 1, 2 }, + { 3, 0, 2, 2 }, + { 3, 0, -3, 3 }, + { 3, -2, -2, 3 }, + { 3, 0, -2, 3 }, + { 3, 0, -1, 3 }, + { 3, -2, 0, 3 }, + { 3, 0, 0, 3 }, + { 4, 0, -2, -5 }, + { 4, 0, -1, -5 }, + { 4, 0, 0, -5 }, + { 4, 0, -3, -4 }, + { 4, 0, -2, -4 }, + { 4, 0, -1, -4 }, + { 4, 0, 0, -4 }, + { 4, 0, 1, -4 }, + { 4, 0, 2, -4 }, + { 4, 0, -3, -3 }, + { 4, 0, -2, -3 }, + { 4, 2, -2, -3 }, + { 4, -2, -1, -3 }, + { 4, 0, -1, -3 }, + { 4, 2, -1, -3 }, + { 4, -2, 0, -3 }, + { 4, 0, 0, -3 }, + { 4, 2, 0, -3 }, + { 4, -2, 1, -3 }, + { 4, 0, 1, -3 }, + { 4, 2, 1, -3 }, + { 4, 0, 2, -3 }, + { 4, 0, 3, -3 }, + { 4, 0, -5, -2 }, + { 4, 0, -4, -2 }, + { 4, 0, -3, -2 }, + { 4, 2, -3, -2 }, + { 4, -2, -2, -2 }, + { 4, 0, -2, -2 }, + { 4, 2, -2, -2 }, + { 4, -2, -1, -2 }, + { 4, 0, -1, -2 }, + { 4, 2, -1, -2 }, + { 4, -2, 0, -2 }, + { 4, 0, 0, -2 }, + { 4, 2, 0, -2 }, + { 4, -2, 1, -2 }, + { 4, 0, 1, -2 }, + { 4, 2, 1, -2 }, + { 4, -2, 2, -2 }, + { 4, 0, 2, -2 }, + { 4, 2, 2, -2 }, + { 4, -2, 3, -2 }, + { 4, 0, 3, -2 }, + { 4, 0, 4, -2 }, + { 4, 0, -6, -1 }, + { 4, 0, -5, -1 }, + { 4, -2, -4, -1 }, + { 4, 0, -4, -1 }, + { 4, -2, -3, -1 }, + { 4, 0, -3, -1 }, + { 4, 2, -3, -1 }, + { 4, -4, -2, -1 }, + { 4, -2, -2, -1 }, + { 4, 0, -2, -1 }, + { 4, 2, -2, -1 }, + { 4, 4, -2, -1 }, + { 4, -4, -1, -1 }, + { 4, -2, -1, -1 }, + { 4, 0, -1, -1 }, + { 4, 2, -1, -1 }, + { 4, 4, -1, -1 }, + { 4, -4, 0, -1 }, + { 4, -2, 0, -1 }, + { 4, 0, 0, -1 }, + { 4, 2, 0, -1 }, + { 4, 4, 0, -1 }, + { 4, -4, 1, -1 }, + { 4, -2, 1, -1 }, + { 4, 0, 1, -1 }, + { 4, 2, 1, -1 }, + { 4, 4, 1, -1 }, + { 4, -2, 2, -1 }, + { 4, 0, 2, -1 }, + { 4, 2, 2, -1 }, + { 4, -2, 3, -1 }, + { 4, 0, 3, -1 }, + { 4, 2, 3, -1 }, + { 4, -2, 4, -1 }, + { 4, 0, 4, -1 }, + { 4, 0, 5, -1 }, + { 4, 0, -7, 0 }, + { 4, -2, -6, 0 }, + { 4, 0, -6, 0 }, + { 4, -2, -5, 0 }, + { 4, 0, -5, 0 }, + { 4, -2, -4, 0 }, + { 4, 0, -4, 0 }, + { 4, 2, -4, 0 }, + { 4, -4, -3, 0 }, + { 4, -2, -3, 0 }, + { 4, 0, -3, 0 }, + { 4, 2, -3, 0 }, + { 4, 4, -3, 0 }, + { 4, -4, -2, 0 }, + { 4, -2, -2, 0 }, + { 4, 0, -2, 0 }, + { 4, 2, -2, 0 }, + { 4, 4, -2, 0 }, + { 4, -4, -1, 0 }, + { 4, -2, -1, 0 }, + { 4, 0, -1, 0 }, + { 4, 2, -1, 0 }, + { 4, 4, -1, 0 }, + { 4, -4, 0, 0 }, + { 4, -2, 0, 0 }, + { 4, 0, 0, 0 }, + { 4, 2, 0, 0 }, + { 4, 4, 0, 0 }, + { 4, -4, 1, 0 }, + { 4, -2, 1, 0 }, + { 4, 0, 1, 0 }, + { 4, 2, 1, 0 }, + { 4, 4, 1, 0 }, + { 4, -4, 2, 0 }, + { 4, -2, 2, 0 }, + { 4, 0, 2, 0 }, + { 4, 2, 2, 0 }, + { 4, 4, 2, 0 }, + { 4, -2, 3, 0 }, + { 4, 0, 3, 0 }, + { 4, 2, 3, 0 }, + { 4, -2, 4, 0 }, + { 4, 0, 4, 0 }, + { 4, 2, 4, 0 }, + { 4, 0, 5, 0 }, + { 4, 0, 6, 0 }, + { 4, 0, -6, 1 }, + { 4, 0, -5, 1 }, + { 4, 0, -4, 1 }, + { 4, -2, -3, 1 }, + { 4, 0, -3, 1 }, + { 4, 2, -3, 1 }, + { 4, -2, -2, 1 }, + { 4, 0, -2, 1 }, + { 4, 2, -2, 1 }, + { 4, -2, -1, 1 }, + { 4, 0, -1, 1 }, + { 4, 2, -1, 1 }, + { 4, 4, -1, 1 }, + { 4, -2, 0, 1 }, + { 4, 0, 0, 1 }, + { 4, 2, 0, 1 }, + { 4, -4, 1, 1 }, + { 4, -2, 1, 1 }, + { 4, 0, 1, 1 }, + { 4, 2, 1, 1 }, + { 4, -2, 2, 1 }, + { 4, 0, 2, 1 }, + { 4, 2, 2, 1 }, + { 4, -2, 3, 1 }, + { 4, 0, 3, 1 }, + { 4, 2, 3, 1 }, + { 4, 0, 4, 1 }, + { 4, 0, -4, 2 }, + { 4, 0, -3, 2 }, + { 4, 2, -3, 2 }, + { 4, -2, -2, 2 }, + { 4, 0, -2, 2 }, + { 4, 2, -2, 2 }, + { 4, -2, -1, 2 }, + { 4, 0, -1, 2 }, + { 4, 2, -1, 2 }, + { 4, -2, 0, 2 }, + { 4, 0, 0, 2 }, + { 4, 2, 0, 2 }, + { 4, -2, 1, 2 }, + { 4, 0, 1, 2 }, + { 4, 0, 2, 2 }, + { 4, 0, -2, 3 }, + { 4, 0, -1, 3 }, + { 4, 0, 0, 3 }, + { 4, -2, -2, 4 }, + { 5, 0, -2, -3 }, + { 5, 0, 0, -3 }, + { 5, 0, -3, -2 }, + { 5, 0, -2, -2 }, + { 5, -2, -1, -2 }, + { 5, 0, -1, -2 }, + { 5, -2, 0, -2 }, + { 5, 0, 0, -2 }, + { 5, 0, 1, -2 }, + { 5, 0, -4, -1 }, + { 5, 0, -3, 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0, 0, -1 }, + { 7, 0, -5, 0 }, + { 7, 0, -4, 0 }, + { 7, 0, -3, 0 }, + { 7, 2, -3, 0 }, + { 7, -2, -2, 0 }, + { 7, 0, -2, 0 }, + { 7, 2, -2, 0 }, + { 7, -2, -1, 0 }, + { 7, 0, -1, 0 }, + { 7, -2, 0, 0 }, + { 7, 0, 0, 0 }, + { 7, 0, -3, 1 }, + { 7, 0, -2, 1 }, + { 7, 0, -1, 1 }, + { 7, 0, 0, 1 }, + { 8, 0, -3, -3 }, + { 8, 0, -2, -3 }, + { 8, 0, -1, -3 }, + { 8, 0, -4, -2 }, + { 8, 0, -3, -2 }, + { 8, 0, -2, -2 }, + { 8, 0, -1, -2 }, + { 8, 0, 0, -2 }, + { 8, 0, 1, -2 }, + { 8, 0, -5, -1 }, + { 8, 0, -4, -1 }, + { 8, 0, -3, -1 }, + { 8, 2, -3, -1 }, + { 8, 0, -2, -1 }, + { 8, 2, -2, -1 }, + { 8, 0, -1, -1 }, + { 8, 2, -1, -1 }, + { 8, 0, 0, -1 }, + { 8, 0, 1, -1 }, + { 8, 0, 2, -1 }, + { 8, 0, -5, 0 }, + { 8, 0, -4, 0 }, + { 8, 2, -4, 0 }, + { 8, -2, -3, 0 }, + { 8, 0, -3, 0 }, + { 8, 2, -3, 0 }, + { 8, -2, -2, 0 }, + { 8, 0, -2, 0 }, + { 8, 2, -2, 0 }, + { 8, -2, -1, 0 }, + { 8, 0, -1, 0 }, + { 8, 2, -1, 0 }, + { 8, -2, 0, 0 }, + { 8, 0, 0, 0 }, + { 8, 2, 0, 0 }, + { 8, -2, 1, 0 }, + { 8, 0, 1, 0 }, + { 8, 0, 2, 0 }, + { 8, 0, -4, 1 }, + { 8, 0, -3, 1 }, + { 8, 0, -2, 1 }, + { 8, 0, -1, 1 }, + { 8, 0, 0, 1 }, + { 8, 0, 1, 1 }, + { 8, 0, -3, 2 }, + { 9, 0, -4, 0 }, + { 9, 0, -3, 0 }, + { 10, 0, -4, -1 }, + { 10, 0, -3, -1 }, + { 10, 0, -2, -1 }, + { 10, 0, -1, -1 }, + { 10, 0, -5, 0 }, + { 10, 0, -4, 0 }, + { 10, 0, -3, 0 }, + { 10, 0, -2, 0 }, + { 10, 0, -1, 0 }, + { 10, 0, 0, 0 } +} }; + +constexpr array g_MAIN_S1_Nominal +{ { + -411.60287, + 0.42034, + -0.00059, + 0.00016, + -0.08019, + 39.53393, + 22639.55000, + -45.10032, + 0.09092, + -0.00019, + 0.00068, + -1.37259, + 769.02326, + -3.99767, + 0.01297, + -0.00004, + 0.00009, + -0.05684, + 36.12364, + -0.32866, + 0.00153, + -0.00354, + 1.93367, + -0.02602, + 0.00016, + -0.00023, + 0.11100, + -0.00201, + 0.00002, + -0.00002, + 0.00665, + -0.00015, + 0.00041, + -0.00001, + 0.00003, + -0.00002, + -0.00024, + 0.00006, + -0.00332, + 0.00064, + -0.04702, + 0.00007, + -0.00003, + 0.00623, + -0.66940, + 0.00106, + 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3.0000000000000001e-005, + 8.3594149696340162e-003, + -6.9999999999999994e-005, + 3.0000000000000001e-005, + 7.4394759535129076e-003, + -6.9999999999999994e-005, + -2.0000000000000002e-005, + 2.8497974393342251e-003, + -3.0000000000000001e-005, + -2.0000000000000002e-005, + 5.5995877954049991e-004, + 8.0000000000000007e-005, + 1.0000000000000001e-005, + 2.0000000000000002e-005, + 1.7599437444205150e-003, + -2.0000000000000002e-005, + 2.0000000000000002e-005, + 3.8998763101098795e-002, + -3.8998171878128180e-004, + 4.3997558388117648e-004, + 9.0327051829633215e-002, + -7.9995643740560663e-004, + 1.7999386384880725e-004, + 7.1417615893261940e-002, + -6.3996557759793654e-004, + -2.4999085980767006e-004, + 2.5099162146062979e-002, + -2.5998385923368386e-004, + -1.6000000000000001e-004, + 4.7698476225132812e-003, + -6.0000000000000002e-005, + -3.0000000000000001e-005, + 6.8997891392046096e-004, + -1.0000000000000001e-005, + 9.0000000000000006e-005, + 2.0000172842855771e-004, + 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1.0999999996176364e-004, + 6.9999999971322711e-005, + 2.9999999990440909e-005, + 2.0000000000000002e-005, + 2.0000000000000002e-005, + 2.0000000000000002e-005, + 6.0000000000000002e-005, + 1.8998859295446622e-004, + 2.4998245722030263e-004, + 1.4998772853167279e-004, + 5.0000000000000002e-005, + 1.0000000000000001e-005, + 3.0000000000000001e-005, + 5.7998505007165373e-004, + 1.6999472848011523e-003, + -2.0000000000000002e-005, + 1.9599341480759733e-003, + -3.0000000000000001e-005, + 1.1199605054668827e-003, + -1.0000000000000001e-005, + 3.6998945654320129e-004, + 8.0000000000000007e-005, + 1.0000000000000001e-005, + 1.8000172842855771e-004, + 3.2400207357213130e-003, + -5.0000000000000002e-005, + 5.0000000000000002e-005, + 8.4000461959887664e-003, + -1.1000000000000000e-004, + 1.0000000000000001e-005, + 8.6600422808942937e-003, + -1.0999999958297084e-004, + -5.0000000000000002e-005, + 4.5500194093078998e-003, + -6.0000000000000002e-005, + -4.0000000000000003e-005, + 1.3900051802813232e-003, + -2.0000000000000002e-005, + -1.0000000000000001e-005, + 2.9000172759449937e-004, + 5.0000000000000002e-005, + -6.9999999999999994e-005, + -2.3999472868862983e-004, + -2.8998859295446626e-004, + -1.6999386384880725e-004, + -6.0000000000000002e-005, + -1.0000000000000001e-005, + -1.0000000000000001e-005, + -2.0000000000000002e-005, + -2.0000000000000002e-005, + 3.0000000000000001e-005, + 5.0000000000000002e-005, + 4.0000000000000003e-005, + 2.0000000000000002e-005, + 4.0000000000000003e-005, + 1.1999999958297084e-004, + 1.7000086358873509e-004, + 1.2999999916594166e-004, + 6.0000000000000002e-005, + 2.0000000000000002e-005 +} }; + +constexpr array g_MAIN_S2 +{ { + { 0, 1, 0, 0 }, + { 0, 3, 0, 0 }, + { 0, 5, 0, 0 }, + { 0, -5, 1, 0 }, + { 0, -3, 1, 0 }, + { 0, -1, 1, 0 }, + { 0, 1, 1, 0 }, + { 0, 3, 1, 0 }, + { 0, 5, 1, 0 }, + { 0, -5, 2, 0 }, + { 0, -3, 2, 0 }, + { 0, -1, 2, 0 }, + { 0, 1, 2, 0 }, + { 0, 3, 2, 0 }, + { 0, 5, 2, 0 }, + { 0, -5, 3, 0 }, + { 0, -3, 3, 0 }, + { 0, -1, 3, 0 }, + { 0, 1, 3, 0 }, + { 0, 3, 3, 0 }, + { 0, 5, 3, 0 }, + { 0, -3, 4, 0 }, + { 0, -1, 4, 0 }, + { 0, 1, 4, 0 }, + { 0, 3, 4, 0 }, + { 0, -1, 5, 0 }, + { 0, 1, 5, 0 }, + { 0, 3, 5, 0 }, + { 0, -1, 6, 0 }, + { 0, 1, 6, 0 }, + { 0, -1, 7, 0 }, + { 0, 1, 7, 0 }, + { 0, -1, -6, 1 }, + { 0, 1, -6, 1 }, + { 0, -1, -5, 1 }, + { 0, 1, -5, 1 }, + { 0, -3, -4, 1 }, + { 0, -1, -4, 1 }, + { 0, 1, -4, 1 }, + { 0, -3, -3, 1 }, + { 0, -1, -3, 1 }, + { 0, 1, -3, 1 }, + { 0, 3, -3, 1 }, + { 0, -3, -2, 1 }, + { 0, -1, -2, 1 }, + { 0, 1, -2, 1 }, + { 0, 3, -2, 1 }, + { 0, -5, -1, 1 }, + { 0, -3, -1, 1 }, + { 0, -1, -1, 1 }, + { 0, 1, -1, 1 }, + { 0, 3, -1, 1 }, + { 0, -3, 0, 1 }, + { 0, -1, 0, 1 }, + { 0, 1, 0, 1 }, + { 0, 3, 0, 1 }, + { 0, 5, 0, 1 }, + { 0, -3, 1, 1 }, + { 0, -1, 1, 1 }, + { 0, 1, 1, 1 }, + { 0, 3, 1, 1 }, + { 0, 5, 1, 1 }, + { 0, -3, 2, 1 }, + { 0, -1, 2, 1 }, + { 0, 1, 2, 1 }, + { 0, 3, 2, 1 }, + { 0, -3, 3, 1 }, + { 0, -1, 3, 1 }, + { 0, 1, 3, 1 }, + { 0, 3, 3, 1 }, + { 0, -1, 4, 1 }, + { 0, 1, 4, 1 }, + { 0, 3, 4, 1 }, + { 0, -1, 5, 1 }, + { 0, 1, 5, 1 }, + { 0, -1, 6, 1 }, + { 0, 1, 6, 1 }, + { 0, -1, -5, 2 }, + { 0, -1, -4, 2 }, + { 0, 1, -4, 2 }, + { 0, -1, -3, 2 }, + { 0, 1, -3, 2 }, + { 0, -3, -2, 2 }, + { 0, -1, -2, 2 }, + { 0, 1, -2, 2 }, + { 0, 3, -2, 2 }, + { 0, -3, -1, 2 }, + { 0, -1, -1, 2 }, + { 0, 1, -1, 2 }, + { 0, 3, -1, 2 }, + { 0, -3, 0, 2 }, + { 0, -1, 0, 2 }, + { 0, 1, 0, 2 }, + { 0, 3, 0, 2 }, + { 0, -3, 1, 2 }, + { 0, -1, 1, 2 }, + { 0, 1, 1, 2 }, + { 0, 3, 1, 2 }, + { 0, -3, 2, 2 }, + { 0, -1, 2, 2 }, + { 0, 1, 2, 2 }, + { 0, 3, 2, 2 }, + { 0, -1, 3, 2 }, + { 0, 1, 3, 2 }, + { 0, 1, 4, 2 }, + { 0, -1, -3, 3 }, + { 0, 1, -3, 3 }, + { 0, -1, -2, 3 }, + { 0, 1, -2, 3 }, + { 0, -1, -1, 3 }, + { 0, 1, -1, 3 }, + { 0, -1, 0, 3 }, + { 0, 1, 0, 3 }, + { 0, -1, 1, 3 }, + { 0, 1, 1, 3 }, + { 0, -1, 2, 3 }, + { 0, 1, 2, 3 }, + { 0, -1, -1, 4 }, + { 0, 1, -1, 4 }, + { 0, -1, 0, 4 }, + { 0, 1, 0, 4 }, + { 0, -1, 1, 4 }, + { 0, 1, 1, 4 }, + { 1, -1, -1, -3 }, + { 1, -1, 0, -3 }, + { 1, 1, 0, -3 }, + { 1, -1, 1, -3 }, + { 1, -1, -2, -2 }, + { 1, 1, -2, -2 }, + { 1, -1, -1, -2 }, + { 1, 1, -1, -2 }, + { 1, -1, 0, -2 }, + { 1, 1, 0, -2 }, + { 1, -1, 1, -2 }, + { 1, 1, 1, -2 }, + { 1, -1, 2, -2 }, + { 1, 1, 2, -2 }, + { 1, -1, -4, -1 }, + { 1, -1, -3, -1 }, + { 1, 1, -3, -1 }, + { 1, -1, -2, -1 }, + { 1, 1, -2, -1 }, + { 1, -3, -1, -1 }, + { 1, -1, -1, -1 }, + { 1, 1, -1, -1 }, + { 1, -3, 0, -1 }, + { 1, -1, 0, -1 }, + { 1, 1, 0, -1 }, + { 1, 3, 0, -1 }, + { 1, -3, 1, -1 }, + { 1, -1, 1, -1 }, + { 1, 1, 1, -1 }, + { 1, 3, 1, -1 }, + { 1, -1, 2, -1 }, + { 1, 1, 2, -1 }, + { 1, -1, 3, -1 }, + { 1, 1, 3, -1 }, + { 1, -1, 4, -1 }, + { 1, 1, 4, -1 }, + { 1, -1, -5, 0 }, + { 1, 1, -5, 0 }, + { 1, -1, -4, 0 }, + { 1, 1, -4, 0 }, + { 1, -1, -3, 0 }, + { 1, 1, -3, 0 }, + { 1, 3, -3, 0 }, + { 1, -3, -2, 0 }, + { 1, -1, -2, 0 }, + { 1, 1, -2, 0 }, + { 1, 3, -2, 0 }, + { 1, -3, -1, 0 }, + { 1, -1, -1, 0 }, + { 1, 1, -1, 0 }, + { 1, 3, -1, 0 }, + { 1, -5, 0, 0 }, + { 1, -3, 0, 0 }, + { 1, -1, 0, 0 }, + { 1, 1, 0, 0 }, + { 1, 3, 0, 0 }, + { 1, 5, 0, 0 }, + { 1, -5, 1, 0 }, + { 1, -3, 1, 0 }, + { 1, -1, 1, 0 }, + { 1, 1, 1, 0 }, + { 1, 3, 1, 0 }, + { 1, -1, 2, 0 }, + { 1, 1, 2, 0 }, + { 1, 3, 2, 0 }, + { 1, -1, 3, 0 }, + { 1, 1, 3, 0 }, + { 1, 3, 3, 0 }, + { 1, -1, 4, 0 }, + { 1, 1, 4, 0 }, + { 1, -1, 5, 0 }, + { 1, 1, 5, 0 }, + { 1, -1, -5, 1 }, + { 1, -1, -4, 1 }, + { 1, 1, -4, 1 }, + { 1, -1, -3, 1 }, + { 1, 1, -3, 1 }, + { 1, -3, -2, 1 }, + { 1, -1, -2, 1 }, + { 1, 1, -2, 1 }, + { 1, 3, -2, 1 }, + { 1, -3, -1, 1 }, + { 1, -1, -1, 1 }, + { 1, 1, -1, 1 }, + { 1, 3, -1, 1 }, + { 1, -3, 0, 1 }, + { 1, -1, 0, 1 }, + { 1, 1, 0, 1 }, + { 1, 3, 0, 1 }, + { 1, -3, 1, 1 }, + { 1, -1, 1, 1 }, + { 1, 1, 1, 1 }, + { 1, 3, 1, 1 }, + { 1, -3, 2, 1 }, + { 1, -1, 2, 1 }, + { 1, 1, 2, 1 }, + { 1, 3, 2, 1 }, + { 1, -1, 3, 1 }, + { 1, 1, 3, 1 }, + { 1, -1, 4, 1 }, + { 1, 1, 4, 1 }, + { 1, -1, -3, 2 }, + { 1, 1, -3, 2 }, + { 1, -1, -2, 2 }, + { 1, 1, -2, 2 }, + { 1, -1, -1, 2 }, + { 1, 1, -1, 2 }, + { 1, -1, 0, 2 }, + { 1, 1, 0, 2 }, + { 1, -1, 1, 2 }, + { 1, 1, 1, 2 }, + { 1, -1, 2, 2 }, + { 1, 1, 2, 2 }, + { 1, 1, 3, 2 }, + { 1, -1, 0, 3 }, + { 1, 1, 0, 3 }, + { 2, -1, -1, -5 }, + { 2, 1, -1, -5 }, + { 2, -1, 0, -5 }, + { 2, 1, 0, -5 }, + { 2, -1, -2, -4 }, + { 2, -1, -1, -4 }, + { 2, 1, -1, -4 }, + { 2, -1, 0, -4 }, + { 2, 1, 0, -4 }, + { 2, -1, 1, -4 }, + { 2, 1, 1, -4 }, + { 2, 1, 2, -4 }, + { 2, -1, -3, -3 }, + { 2, -1, -2, -3 }, + { 2, 1, -2, -3 }, + { 2, -1, -1, -3 }, + { 2, 1, -1, -3 }, + { 2, 3, -1, -3 }, + { 2, -3, 0, -3 }, + { 2, -1, 0, -3 }, + { 2, 1, 0, -3 }, + { 2, 3, 0, -3 }, + { 2, -3, 1, -3 }, + { 2, -1, 1, -3 }, + { 2, 1, 1, -3 }, + { 2, -1, 2, -3 }, + { 2, 1, 2, -3 }, + { 2, -1, 3, -3 }, + { 2, 1, 3, -3 }, + { 2, -1, -4, -2 }, + { 2, 1, -4, -2 }, + { 2, -1, -3, -2 }, + { 2, 1, -3, -2 }, + { 2, -1, -2, -2 }, + { 2, 1, -2, -2 }, + { 2, 3, -2, -2 }, + { 2, -3, -1, -2 }, + { 2, -1, -1, -2 }, + { 2, 1, -1, -2 }, + { 2, 3, -1, -2 }, + { 2, -3, 0, -2 }, + { 2, -1, 0, -2 }, + { 2, 1, 0, -2 }, + { 2, 3, 0, -2 }, + { 2, -3, 1, -2 }, + { 2, -1, 1, -2 }, + { 2, 1, 1, -2 }, + { 2, 3, 1, -2 }, + { 2, -3, 2, -2 }, + { 2, -1, 2, -2 }, + { 2, 1, 2, -2 }, + { 2, 3, 2, -2 }, + { 2, -1, 3, -2 }, + { 2, 1, 3, -2 }, + { 2, -1, 4, -2 }, + { 2, 1, 4, -2 }, + { 2, -1, -6, -1 }, + { 2, -1, -5, -1 }, + { 2, 1, -5, -1 }, + { 2, -1, -4, -1 }, + { 2, 1, -4, -1 }, + { 2, -3, -3, -1 }, + { 2, -1, -3, -1 }, + { 2, 1, -3, -1 }, + { 2, 3, -3, -1 }, + { 2, -3, -2, -1 }, + { 2, -1, -2, -1 }, + { 2, 1, -2, -1 }, + { 2, 3, -2, -1 }, + { 2, -5, -1, -1 }, + { 2, -3, -1, -1 }, + { 2, -1, -1, -1 }, + { 2, 1, -1, -1 }, + { 2, 3, -1, -1 }, + { 2, 5, -1, -1 }, + { 2, -5, 0, -1 }, + { 2, -3, 0, -1 }, + { 2, -1, 0, -1 }, + { 2, 1, 0, -1 }, + { 2, 3, 0, -1 }, + { 2, 5, 0, -1 }, + { 2, -5, 1, -1 }, + { 2, -3, 1, -1 }, + { 2, -1, 1, -1 }, + { 2, 1, 1, -1 }, + { 2, 3, 1, -1 }, + { 2, -3, 2, -1 }, + { 2, -1, 2, -1 }, + { 2, 1, 2, -1 }, + { 2, 3, 2, -1 }, + { 2, -3, 3, -1 }, + { 2, -1, 3, -1 }, + { 2, 1, 3, -1 }, + { 2, 3, 3, -1 }, + { 2, -1, 4, -1 }, + { 2, 1, 4, -1 }, + { 2, -1, 5, -1 }, + { 2, 1, 5, -1 }, + { 2, -1, -7, 0 }, + { 2, 1, -7, 0 }, + { 2, -1, -6, 0 }, + { 2, 1, -6, 0 }, + { 2, -3, -5, 0 }, + { 2, -1, -5, 0 }, + { 2, 1, -5, 0 }, + { 2, -3, -4, 0 }, + { 2, -1, -4, 0 }, + { 2, 1, -4, 0 }, + { 2, 3, -4, 0 }, + { 2, -3, -3, 0 }, + { 2, -1, -3, 0 }, + { 2, 1, -3, 0 }, + { 2, 3, -3, 0 }, + { 2, 5, -3, 0 }, + { 2, -5, -2, 0 }, + { 2, -3, -2, 0 }, + { 2, -1, -2, 0 }, + { 2, 1, -2, 0 }, + { 2, 3, -2, 0 }, + { 2, 5, -2, 0 }, + { 2, -5, -1, 0 }, + { 2, -3, -1, 0 }, + { 2, -1, -1, 0 }, + { 2, 1, -1, 0 }, + { 2, 3, -1, 0 }, + { 2, 5, -1, 0 }, + { 2, -5, 0, 0 }, + { 2, -3, 0, 0 }, + { 2, -1, 0, 0 }, + { 2, 1, 0, 0 }, + { 2, 3, 0, 0 }, + { 2, 5, 0, 0 }, + { 2, -5, 1, 0 }, + { 2, -3, 1, 0 }, + { 2, -1, 1, 0 }, + { 2, 1, 1, 0 }, + { 2, 3, 1, 0 }, + { 2, 5, 1, 0 }, + { 2, -5, 2, 0 }, + { 2, -3, 2, 0 }, + { 2, -1, 2, 0 }, + { 2, 1, 2, 0 }, + { 2, 3, 2, 0 }, + { 2, 5, 2, 0 }, + { 2, -3, 3, 0 }, + { 2, -1, 3, 0 }, + { 2, 1, 3, 0 }, + { 2, 3, 3, 0 }, + { 2, -3, 4, 0 }, + { 2, -1, 4, 0 }, + { 2, 1, 4, 0 }, + { 2, 3, 4, 0 }, + { 2, -1, 5, 0 }, + { 2, 1, 5, 0 }, + { 2, -1, 6, 0 }, + { 2, 1, 6, 0 }, + { 2, -1, -6, 1 }, + { 2, -1, -5, 1 }, + { 2, 1, -5, 1 }, + { 2, -1, -4, 1 }, + { 2, 1, -4, 1 }, + { 2, -3, -3, 1 }, + { 2, -1, -3, 1 }, + { 2, 1, -3, 1 }, + { 2, -3, -2, 1 }, + { 2, -1, -2, 1 }, + { 2, 1, -2, 1 }, + { 2, 3, -2, 1 }, + { 2, -3, -1, 1 }, + { 2, -1, -1, 1 }, + { 2, 1, -1, 1 }, + { 2, 3, -1, 1 }, + { 2, -5, 0, 1 }, + { 2, -3, 0, 1 }, + { 2, -1, 0, 1 }, + { 2, 1, 0, 1 }, + { 2, 3, 0, 1 }, + { 2, -5, 1, 1 }, + { 2, -3, 1, 1 }, + { 2, -1, 1, 1 }, + { 2, 1, 1, 1 }, + { 2, 3, 1, 1 }, + { 2, -3, 2, 1 }, + { 2, -1, 2, 1 }, + { 2, 1, 2, 1 }, + { 2, 3, 2, 1 }, + { 2, -3, 3, 1 }, + { 2, -1, 3, 1 }, + { 2, 1, 3, 1 }, + { 2, 3, 3, 1 }, + { 2, -1, 4, 1 }, + { 2, 1, 4, 1 }, + { 2, -1, 5, 1 }, + { 2, 1, 5, 1 }, + { 2, -1, -4, 2 }, + { 2, 1, -4, 2 }, + { 2, -1, -3, 2 }, + { 2, 1, -3, 2 }, + { 2, -3, -2, 2 }, + { 2, -1, -2, 2 }, + { 2, 1, -2, 2 }, + { 2, 3, -2, 2 }, + { 2, -3, -1, 2 }, + { 2, -1, -1, 2 }, + { 2, 1, -1, 2 }, + { 2, 3, -1, 2 }, + { 2, -3, 0, 2 }, + { 2, -1, 0, 2 }, + { 2, 1, 0, 2 }, + { 2, 3, 0, 2 }, + { 2, -3, 1, 2 }, + { 2, -1, 1, 2 }, + { 2, 1, 1, 2 }, + { 2, -1, 2, 2 }, + { 2, 1, 2, 2 }, + { 2, -1, -2, 3 }, + { 2, 1, -2, 3 }, + { 2, -1, -1, 3 }, + { 2, 1, -1, 3 }, + { 2, -1, 0, 3 }, + { 2, 1, 0, 3 }, + { 2, -1, 1, 3 }, + { 3, -1, -1, -3 }, + { 3, 1, -1, -3 }, + { 3, -1, 0, -3 }, + { 3, -1, -3, -2 }, + { 3, -1, -2, -2 }, + { 3, 1, -2, -2 }, + { 3, -1, -1, -2 }, + { 3, 1, -1, -2 }, + { 3, -3, 0, -2 }, + { 3, -1, 0, -2 }, + { 3, 1, 0, -2 }, + { 3, -1, 1, -2 }, + { 3, -1, 2, -2 }, + { 3, -1, -4, -1 }, + { 3, -1, -3, -1 }, + { 3, -1, -2, -1 }, + { 3, 1, -2, -1 }, + { 3, -3, -1, -1 }, + { 3, -1, -1, -1 }, + { 3, 1, -1, -1 }, + { 3, 3, -1, -1 }, + { 3, -3, 0, -1 }, + { 3, -1, 0, -1 }, + { 3, 1, 0, -1 }, + { 3, 3, 0, -1 }, + { 3, -1, 1, -1 }, + { 3, 1, 1, -1 }, + { 3, -1, 2, -1 }, + { 3, 1, 2, -1 }, + { 3, -1, 3, -1 }, + { 3, 1, 3, -1 }, + { 3, -1, -4, 0 }, + { 3, 1, -4, 0 }, + { 3, -1, -3, 0 }, + { 3, 1, -3, 0 }, + { 3, 3, -3, 0 }, + { 3, -3, -2, 0 }, + { 3, -1, -2, 0 }, + { 3, 1, -2, 0 }, + { 3, 3, -2, 0 }, + { 3, -3, -1, 0 }, + { 3, -1, -1, 0 }, + { 3, 1, -1, 0 }, + { 3, 3, -1, 0 }, + { 3, -3, 0, 0 }, + { 3, -1, 0, 0 }, + { 3, 1, 0, 0 }, + { 3, 3, 0, 0 }, + { 3, -3, 1, 0 }, + { 3, -1, 1, 0 }, + { 3, 1, 1, 0 }, + { 3, 3, 1, 0 }, + { 3, -1, 2, 0 }, + { 3, 1, 2, 0 }, + { 3, -1, 3, 0 }, + { 3, 1, 3, 0 }, + { 3, -1, 4, 0 }, + { 3, 1, 4, 0 }, + { 3, -1, -4, 1 }, + { 3, 1, -4, 1 }, + { 3, -1, -3, 1 }, + { 3, 1, -3, 1 }, + { 3, -1, -2, 1 }, + { 3, 1, -2, 1 }, + { 3, -3, -1, 1 }, + { 3, -1, -1, 1 }, + { 3, 1, -1, 1 }, + { 3, 3, -1, 1 }, + { 3, -3, 0, 1 }, + { 3, -1, 0, 1 }, + { 3, 1, 0, 1 }, + { 3, 3, 0, 1 }, + { 3, -1, 1, 1 }, + { 3, 1, 1, 1 }, + { 3, -1, 2, 1 }, + { 3, 1, 2, 1 }, + { 3, -1, 3, 1 }, + { 3, 1, 3, 1 }, + { 3, -1, -2, 2 }, + { 3, 1, -2, 2 }, + { 3, -1, -1, 2 }, + { 3, 1, -1, 2 }, + { 3, -1, 0, 2 }, + { 3, 1, 0, 2 }, + { 3, -1, 1, 2 }, + { 3, 1, 1, 2 }, + { 3, -1, 2, 2 }, + { 3, -3, -1, 3 }, + { 3, -1, -1, 3 }, + { 3, 1, -1, 3 }, + { 4, 1, -2, -4 }, + { 4, -1, -1, -4 }, + { 4, 1, -1, -4 }, + { 4, -1, 0, -4 }, + { 4, 1, 0, -4 }, + { 4, -1, 1, -4 }, + { 4, -1, -2, -3 }, + { 4, 1, -2, -3 }, + { 4, -1, -1, -3 }, + { 4, 1, -1, -3 }, + { 4, -3, 0, -3 }, + { 4, -1, 0, -3 }, + { 4, 1, 0, -3 }, + { 4, -1, 1, -3 }, + { 4, 1, 1, -3 }, + { 4, -1, 2, -3 }, + { 4, 1, 2, -3 }, + { 4, -1, -4, -2 }, + { 4, -1, -3, -2 }, + { 4, 1, -3, -2 }, + { 4, -3, -2, -2 }, + { 4, -1, -2, -2 }, + { 4, 1, -2, -2 }, + { 4, 3, -2, -2 }, + { 4, -3, -1, -2 }, + { 4, -1, -1, -2 }, + { 4, 1, -1, -2 }, + { 4, 3, -1, -2 }, + { 4, -3, 0, -2 }, + { 4, -1, 0, -2 }, + { 4, 1, 0, -2 }, + { 4, 3, 0, -2 }, + { 4, -3, 1, -2 }, + { 4, -1, 1, -2 }, + { 4, 1, 1, -2 }, + { 4, -1, 2, -2 }, + { 4, 1, 2, -2 }, + { 4, -1, 3, -2 }, + { 4, 1, 3, -2 }, + { 4, -1, -6, -1 }, + { 4, -1, -5, -1 }, + { 4, -1, -4, -1 }, + { 4, 1, -4, -1 }, + { 4, -3, -3, -1 }, + { 4, -1, -3, -1 }, + { 4, 1, -3, -1 }, + { 4, 3, -3, -1 }, + { 4, -3, -2, -1 }, + { 4, -1, -2, -1 }, + { 4, 1, -2, -1 }, + { 4, 3, -2, -1 }, + { 4, -3, -1, -1 }, + { 4, -1, -1, -1 }, + { 4, 1, -1, -1 }, + { 4, 3, -1, -1 }, + { 4, -5, 0, -1 }, + { 4, -3, 0, -1 }, + { 4, -1, 0, -1 }, + { 4, 1, 0, -1 }, + { 4, 3, 0, -1 }, + { 4, -3, 1, -1 }, + { 4, -1, 1, -1 }, + { 4, 1, 1, -1 }, + { 4, 3, 1, -1 }, + { 4, -3, 2, -1 }, + { 4, -1, 2, -1 }, + { 4, 1, 2, -1 }, + { 4, 3, 2, -1 }, + { 4, -3, 3, -1 }, + { 4, -1, 3, -1 }, + { 4, 1, 3, -1 }, + { 4, -1, 4, -1 }, + { 4, 1, 4, -1 }, + { 4, -1, -7, 0 }, + { 4, -1, -6, 0 }, + { 4, 1, -6, 0 }, + { 4, -1, -5, 0 }, + { 4, -3, -4, 0 }, + { 4, -1, -4, 0 }, + { 4, 1, -4, 0 }, + { 4, 3, -4, 0 }, + { 4, -3, -3, 0 }, + { 4, -1, -3, 0 }, + { 4, 1, -3, 0 }, + { 4, 3, -3, 0 }, + { 4, -3, -2, 0 }, + { 4, -1, -2, 0 }, + { 4, 1, -2, 0 }, + { 4, 3, -2, 0 }, + { 4, 5, -2, 0 }, + { 4, -5, -1, 0 }, + { 4, -3, -1, 0 }, + { 4, -1, -1, 0 }, + { 4, 1, -1, 0 }, + { 4, 3, -1, 0 }, + { 4, 5, -1, 0 }, + { 4, -5, 0, 0 }, + { 4, -3, 0, 0 }, + { 4, -1, 0, 0 }, + { 4, 1, 0, 0 }, + { 4, 3, 0, 0 }, + { 4, -3, 1, 0 }, + { 4, -1, 1, 0 }, + { 4, 1, 1, 0 }, + { 4, 3, 1, 0 }, + { 4, -3, 2, 0 }, + { 4, -1, 2, 0 }, + { 4, 1, 2, 0 }, + { 4, 3, 2, 0 }, + { 4, -3, 3, 0 }, + { 4, -1, 3, 0 }, + { 4, 1, 3, 0 }, + { 4, 3, 3, 0 }, + { 4, -1, 4, 0 }, + { 4, 1, 4, 0 }, + { 4, -1, 5, 0 }, + { 4, 1, 5, 0 }, + { 4, -1, -5, 1 }, + { 4, -1, -4, 1 }, + { 4, 1, -4, 1 }, + { 4, -1, -3, 1 }, + { 4, 1, -3, 1 }, + { 4, -3, -2, 1 }, + { 4, -1, -2, 1 }, + { 4, 1, -2, 1 }, + { 4, 3, -2, 1 }, + { 4, -3, -1, 1 }, + { 4, -1, -1, 1 }, + { 4, 1, -1, 1 }, + { 4, 3, -1, 1 }, + { 4, -3, 0, 1 }, + { 4, -1, 0, 1 }, + { 4, 1, 0, 1 }, + { 4, 3, 0, 1 }, + { 4, -3, 1, 1 }, + { 4, -1, 1, 1 }, + { 4, 1, 1, 1 }, + { 4, 3, 1, 1 }, + { 4, -3, 2, 1 }, + { 4, -1, 2, 1 }, + { 4, 1, 2, 1 }, + { 4, -1, 3, 1 }, + { 4, 1, 3, 1 }, + { 4, -1, 4, 1 }, + { 4, 1, 4, 1 }, + { 4, -1, -3, 2 }, + { 4, 1, -3, 2 }, + { 4, -3, -2, 2 }, + { 4, -1, -2, 2 }, + { 4, 1, -2, 2 }, + { 4, -3, -1, 2 }, + { 4, -1, -1, 2 }, + { 4, 1, -1, 2 }, + { 4, -1, 0, 2 }, + { 4, 1, 0, 2 }, + { 4, -1, 1, 2 }, + { 4, 1, 1, 2 }, + { 4, 1, -2, 3 }, + { 4, -1, -1, 3 }, + { 4, 1, -1, 3 }, + { 4, -1, 0, 3 }, + { 5, -1, -2, -2 }, + { 5, 1, -2, -2 }, + { 5, -1, -1, -2 }, + { 5, 1, -1, -2 }, + { 5, -1, 0, -2 }, + { 5, -1, -3, -1 }, + { 5, 1, -3, -1 }, + { 5, -1, -2, -1 }, + { 5, 1, -2, -1 }, + { 5, -3, -1, -1 }, + { 5, -1, -1, -1 }, + { 5, 1, -1, -1 }, + { 5, -3, 0, -1 }, + { 5, -1, 0, -1 }, + { 5, -1, 1, -1 }, + { 5, 1, -4, 0 }, + { 5, -1, -3, 0 }, + { 5, 1, -3, 0 }, + { 5, -1, -2, 0 }, + { 5, 1, -2, 0 }, + { 5, 3, -2, 0 }, + { 5, -3, -1, 0 }, + { 5, -1, -1, 0 }, + { 5, 1, -1, 0 }, + { 5, 3, -1, 0 }, + { 5, -3, 0, 0 }, + { 5, -1, 0, 0 }, + { 5, 1, 0, 0 }, + { 5, -3, 1, 0 }, + { 5, -1, 1, 0 }, + { 5, 1, 1, 0 }, + { 5, -1, 2, 0 }, + { 5, 1, 2, 0 }, + { 5, -1, -3, 1 }, + { 5, 1, -3, 1 }, + { 5, -1, -2, 1 }, + { 5, 1, -2, 1 }, + { 5, -1, -1, 1 }, + { 5, 1, -1, 1 }, + { 5, -3, 0, 1 }, + { 5, -1, 0, 1 }, + { 5, 1, 0, 1 }, + { 5, -1, 1, 1 }, + { 5, 1, 1, 1 }, + { 5, -1, 2, 1 }, + { 5, -1, -1, 2 }, + { 5, -1, 0, 2 }, + { 6, 1, -3, -3 }, + { 6, -1, -2, -3 }, + { 6, 1, -2, -3 }, + { 6, -1, -1, -3 }, + { 6, 1, -1, -3 }, + { 6, -1, 0, -3 }, + { 6, 1, 0, -3 }, + { 6, -1, 1, -3 }, + { 6, -1, -3, -2 }, + { 6, 1, -3, -2 }, + { 6, -1, -2, -2 }, + { 6, 1, -2, -2 }, + { 6, -3, -1, -2 }, + { 6, -1, -1, -2 }, + { 6, 1, -1, -2 }, + { 6, -1, 0, -2 }, + { 6, 1, 0, -2 }, + { 6, -1, 1, -2 }, + { 6, 1, 1, -2 }, + { 6, -1, 2, -2 }, + { 6, 1, 2, -2 }, + { 6, -1, -4, -1 }, + { 6, 1, -4, -1 }, + { 6, -1, -3, -1 }, + { 6, 1, -3, -1 }, + { 6, 3, -3, -1 }, + { 6, -1, -2, -1 }, + { 6, 1, -2, -1 }, + { 6, 3, -2, -1 }, + { 6, -3, -1, -1 }, + { 6, -1, -1, -1 }, + { 6, 1, -1, -1 }, + { 6, 3, -1, -1 }, + { 6, -3, 0, -1 }, + { 6, -1, 0, -1 }, + { 6, 1, 0, -1 }, + { 6, 3, 0, -1 }, + { 6, -1, 1, -1 }, + { 6, 1, 1, -1 }, + { 6, -1, 2, -1 }, + { 6, 1, 2, -1 }, + { 6, -1, 3, -1 }, + { 6, 1, 3, -1 }, + { 6, -1, -4, 0 }, + { 6, 1, -4, 0 }, + { 6, 3, -4, 0 }, + { 6, -1, -3, 0 }, + { 6, 1, -3, 0 }, + { 6, 3, -3, 0 }, + { 6, -3, -2, 0 }, + { 6, -1, -2, 0 }, + { 6, 1, -2, 0 }, + { 6, 3, -2, 0 }, + { 6, -3, -1, 0 }, + { 6, -1, -1, 0 }, + { 6, 1, -1, 0 }, + { 6, 3, -1, 0 }, + { 6, -3, 0, 0 }, + { 6, -1, 0, 0 }, + { 6, 1, 0, 0 }, + { 6, 3, 0, 0 }, + { 6, -3, 1, 0 }, + { 6, -1, 1, 0 }, + { 6, 1, 1, 0 }, + { 6, 3, 1, 0 }, + { 6, -3, 2, 0 }, + { 6, -1, 2, 0 }, + { 6, 1, 2, 0 }, + { 6, -1, 3, 0 }, + { 6, 1, 3, 0 }, + { 6, -1, 4, 0 }, + { 6, 1, -4, 1 }, + { 6, -1, -3, 1 }, + { 6, 1, -3, 1 }, + { 6, -1, -2, 1 }, + { 6, 1, -2, 1 }, + { 6, -3, -1, 1 }, + { 6, -1, -1, 1 }, + { 6, 1, -1, 1 }, + { 6, -3, 0, 1 }, + { 6, -1, 0, 1 }, + { 6, 1, 0, 1 }, + { 6, -1, 1, 1 }, + { 6, 1, 1, 1 }, + { 6, -1, 2, 1 }, + { 6, 1, 2, 1 }, + { 6, -1, -3, 2 }, + { 6, 1, -3, 2 }, + { 6, -1, -2, 2 }, + { 6, 1, -2, 2 }, + { 6, -1, -1, 2 }, + { 6, 1, -1, 2 }, + { 7, -1, -3, -1 }, + { 7, 1, -3, -1 }, + { 7, -1, -2, -1 }, + { 7, 1, -2, -1 }, + { 7, -1, -1, -1 }, + { 7, 1, -4, 0 }, + { 7, -1, -3, 0 }, + { 7, 1, -3, 0 }, + { 7, -1, -2, 0 }, + { 7, 1, -2, 0 }, + { 7, -3, -1, 0 }, + { 7, -1, -1, 0 }, + { 7, 1, -1, 0 }, + { 7, -1, 0, 0 }, + { 7, -1, -2, 1 }, + { 7, 1, -2, 1 }, + { 7, -1, -1, 1 }, + { 7, 1, -1, 1 }, + { 8, -1, -3, -2 }, + { 8, 1, -3, -2 }, + { 8, -1, -2, -2 }, + { 8, 1, -2, -2 }, + { 8, -1, -1, -2 }, + { 8, 1, -1, -2 }, + { 8, -1, 0, -2 }, + { 8, -1, -4, -1 }, + { 8, 1, -4, -1 }, + { 8, -1, -3, -1 }, + { 8, 1, -3, -1 }, + { 8, -1, -2, -1 }, + { 8, 1, -2, -1 }, + { 8, -1, -1, -1 }, + { 8, 1, -1, -1 }, + { 8, -1, 0, -1 }, + { 8, 1, 0, -1 }, + { 8, -1, 1, -1 }, + { 8, 1, 1, -1 }, + { 8, 1, -5, 0 }, + { 8, -1, -4, 0 }, + { 8, 1, -4, 0 }, + { 8, -1, -3, 0 }, + { 8, 1, -3, 0 }, + { 8, -3, -2, 0 }, + { 8, -1, -2, 0 }, + { 8, 1, -2, 0 }, + { 8, -3, -1, 0 }, + { 8, -1, -1, 0 }, + { 8, 1, -1, 0 }, + { 8, -1, 0, 0 }, + { 8, 1, 0, 0 }, + { 8, -1, 1, 0 }, + { 8, 1, 1, 0 }, + { 8, -1, 2, 0 }, + { 8, -1, -3, 1 }, + { 8, 1, -3, 1 }, + { 8, -1, -2, 1 }, + { 8, 1, -2, 1 }, + { 8, -1, -1, 1 }, + { 8, 1, -1, 1 }, + { 8, -1, 0, 1 }, + { 10, -1, -4, 0 }, + { 10, 1, -4, 0 }, + { 10, -1, -3, 0 }, + { 10, 1, -3, 0 }, + { 10, -1, -2, 0 }, + { 10, 1, -2, 0 }, + { 10, -1, -1, 0 } +} }; + +constexpr array g_MAIN_S2_Nominal +{ { + 18461.40000, + -6.29664, + 0.00592, + -0.00236, + 2.79871, + 999.70079, + 1010.17430, + -1.01941, + 0.00156, + -0.00044, + -0.13035, + 31.75985, + 61.91229, + -0.11787, + 0.00026, + 0.00003, + -0.00146, + 1.58131, + 3.98407, + -0.01181, + 0.00004, + -0.00006, + 0.09157, + 0.26325, + -0.00109, + 0.00566, + 0.01768, + -0.00010, + 0.00036, + 0.00120, + 0.00002, + 0.00008, + -0.00004, + -0.00001, + -0.00053, + -0.00014, + 0.00003, + -0.00646, + -0.00186, + 0.00023, + 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+ -0.00519, + 0.00002, + -0.00011, + -0.01049, + -0.00245, + 0.00001, + -0.00041, + -0.00254, + -0.00027, + -0.00003, + -0.00045, + -0.00006, + -0.00006, + -0.00001, + -0.00001, + -0.00005, + 0.00014, + 0.00041, + 0.00097, + 0.00053, + 0.00003, + 0.00051, + 0.00023, + 0.00010, + 0.00005, + 0.00001, + -0.00002, + -0.00001, + 0.00002, + 0.00005, + 0.00006, + 0.00010, + 0.00006, + 0.00005, + 0.00003, + 0.00001, + 0.00007, + 0.00033, + 0.00088, + 0.00087, + 0.00001, + 0.00137, + 0.00078, + 0.00067, + 0.00032, + 0.00013, + 0.00007, + 0.00002, + 0.00001, + 0.00002, + 0.00009, + 0.00089, + 0.00415, + -0.00002, + 0.01091, + 0.00939, + -0.00003, + 0.00014, + 0.01486, + 0.00757, + -0.00003, + 0.00010, + 0.00652, + 0.00288, + -0.00001, + 0.00122, + 0.00063, + 0.00017, + 0.00010, + 0.00002, + 0.00001, + 0.00014, + 0.00072, + -0.00002, + 0.00702, + 0.03118, + -0.00014, + 0.00007, + 0.08096, + 0.05963, + -0.00021, + 0.00107, + 0.09403, + 0.04217, + -0.00014, + 0.00060, + 0.03674, + 0.01465, + 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2.0000000000000002e-005, + 1.8899914319349543e-003, + 1.1099965789306686e-003, + 2.0000000000000002e-005, + 1.2999918447928571e-003, + 5.9999872146821636e-004, + 4.5000086275467677e-004, + 1.9999999916594168e-004, + 9.0000000000000006e-005, + 4.0000000000000003e-005, + 1.0000000000000001e-005, + -4.0000000000000003e-005, + -3.0000000000000001e-005, + -8.0000000000000007e-005, + -4.0000000000000003e-005, + -6.0000000000000002e-005, + -2.0000000000000002e-005, + -2.0000000000000002e-005, + 1.0000000000000001e-005, + 2.0000000000000002e-005, + 3.0000000000000001e-005, + 3.0000000000000001e-005, + 3.0000000000000001e-005, + 2.0000000000000002e-005, + 2.0000000000000002e-005 +} }; + +constexpr array g_MAIN_S3 +{ { + { 0, 0, 0, 0 }, + { 0, 2, 0, 0 }, + { 0, 4, 0, 0 }, + { 0, -4, 1, 0 }, + { 0, -2, 1, 0 }, + { 0, 0, 1, 0 }, + { 0, 2, 1, 0 }, + { 0, -4, 2, 0 }, + { 0, -2, 2, 0 }, + { 0, 0, 2, 0 }, + { 0, 2, 2, 0 }, + { 0, -4, 3, 0 }, + { 0, -2, 3, 0 }, + { 0, 0, 3, 0 }, + { 0, 2, 3, 0 }, + { 0, -4, 4, 0 }, + { 0, -2, 4, 0 }, + { 0, 0, 4, 0 }, + { 0, 2, 4, 0 }, + { 0, -2, 5, 0 }, + { 0, 0, 5, 0 }, + { 0, 0, 6, 0 }, + { 0, 0, 7, 0 }, + { 0, 0, -6, 1 }, + { 0, 0, -5, 1 }, + { 0, 0, -4, 1 }, + { 0, 0, -3, 1 }, + { 0, 2, -3, 1 }, + { 0, -2, -2, 1 }, + { 0, 0, -2, 1 }, + { 0, 2, -2, 1 }, + { 0, 4, -2, 1 }, + { 0, -2, -1, 1 }, + { 0, 0, -1, 1 }, + { 0, 2, -1, 1 }, + { 0, 4, -1, 1 }, + { 0, -2, 0, 1 }, + { 0, 0, 0, 1 }, + { 0, 2, 0, 1 }, + { 0, -4, 1, 1 }, + { 0, -2, 1, 1 }, + { 0, 0, 1, 1 }, + { 0, 2, 1, 1 }, + { 0, -4, 2, 1 }, + { 0, -2, 2, 1 }, + { 0, 0, 2, 1 }, + { 0, 2, 2, 1 }, + { 0, -2, 3, 1 }, + { 0, 0, 3, 1 }, + { 0, -2, 4, 1 }, + { 0, 0, 4, 1 }, + { 0, 0, 5, 1 }, + { 0, 0, 6, 1 }, + { 0, 0, -5, 2 }, + { 0, 0, -4, 2 }, + { 0, 0, -3, 2 }, + { 0, 0, -2, 2 }, + { 0, 2, -2, 2 }, + { 0, -2, -1, 2 }, + { 0, 0, -1, 2 }, + { 0, 2, -1, 2 }, + { 0, -2, 0, 2 }, + { 0, 0, 0, 2 }, + { 0, 2, 0, 2 }, + { 0, -2, 1, 2 }, + { 0, 0, 1, 2 }, + { 0, 2, 1, 2 }, + { 0, -2, 2, 2 }, + { 0, 0, 2, 2 }, + { 0, 0, 3, 2 }, + { 0, 0, 4, 2 }, + { 0, 0, -3, 3 }, + { 0, 0, -2, 3 }, + { 0, 2, -2, 3 }, + { 0, 0, -1, 3 }, + { 0, 2, -1, 3 }, + { 0, -2, 0, 3 }, + { 0, 0, 0, 3 }, + { 0, 2, 0, 3 }, + { 0, -2, 1, 3 }, + { 0, 0, 1, 3 }, + { 0, 0, 2, 3 }, + { 0, 0, 3, 3 }, + { 0, 0, -2, 4 }, + { 0, 0, -1, 4 }, + { 0, 0, 0, 4 }, + { 0, 0, 1, 4 }, + { 1, 0, 0, -4 }, + { 1, 0, -1, -3 }, + { 1, 0, 0, -3 }, + { 1, 0, -3, -2 }, + { 1, 0, -2, -2 }, + { 1, 0, -1, -2 }, + { 1, -2, 0, -2 }, + { 1, 0, 0, -2 }, + { 1, 2, 0, -2 }, + { 1, -2, 1, -2 }, + { 1, 0, 1, -2 }, + { 1, 0, 2, -2 }, + { 1, 0, 3, -2 }, + { 1, 0, -4, -1 }, + { 1, 0, -3, -1 }, + { 1, -2, -2, -1 }, + { 1, 0, -2, -1 }, + { 1, 2, -2, -1 }, + { 1, -2, -1, -1 }, + { 1, 0, -1, -1 }, + { 1, 2, -1, -1 }, + { 1, -2, 0, -1 }, + { 1, 0, 0, -1 }, + { 1, 2, 0, -1 }, + { 1, -2, 1, -1 }, + { 1, 0, 1, -1 }, + { 1, 2, 1, -1 }, + { 1, -2, 2, -1 }, + { 1, 0, 2, -1 }, + { 1, 0, 3, -1 }, + { 1, 0, 4, -1 }, + { 1, 0, -6, 0 }, + { 1, 0, -5, 0 }, + { 1, 0, -4, 0 }, + { 1, -2, -3, 0 }, + { 1, 0, -3, 0 }, + { 1, 2, -3, 0 }, + { 1, -2, -2, 0 }, + { 1, 0, -2, 0 }, + { 1, 2, -2, 0 }, + { 1, -2, -1, 0 }, + { 1, 0, -1, 0 }, + { 1, 2, -1, 0 }, + { 1, -2, 0, 0 }, + { 1, 0, 0, 0 }, + { 1, 2, 0, 0 }, + { 1, -4, 1, 0 }, + { 1, -2, 1, 0 }, + { 1, 0, 1, 0 }, + { 1, 2, 1, 0 }, + { 1, -2, 2, 0 }, + { 1, 0, 2, 0 }, + { 1, 2, 2, 0 }, + { 1, -2, 3, 0 }, + { 1, 0, 3, 0 }, + { 1, 0, 4, 0 }, + { 1, 0, 5, 0 }, + { 1, 0, -5, 1 }, + { 1, 0, -4, 1 }, + { 1, 0, -3, 1 }, + { 1, 2, -3, 1 }, + { 1, -2, -2, 1 }, + { 1, 0, -2, 1 }, + { 1, 2, -2, 1 }, + { 1, -2, -1, 1 }, + { 1, 0, -1, 1 }, + { 1, 2, -1, 1 }, + { 1, -2, 0, 1 }, + { 1, 0, 0, 1 }, + { 1, 2, 0, 1 }, + { 1, -2, 1, 1 }, + { 1, 0, 1, 1 }, + { 1, -2, 2, 1 }, + { 1, 0, 2, 1 }, + { 1, -2, 3, 1 }, + { 1, 0, 3, 1 }, + { 1, 0, 4, 1 }, + { 1, 0, -4, 2 }, + { 1, 0, -3, 2 }, + { 1, 0, -2, 2 }, + { 1, 0, -1, 2 }, + { 1, -2, 0, 2 }, + { 1, 0, 0, 2 }, + { 1, -2, 1, 2 }, + { 1, 0, 1, 2 }, + { 1, 0, 2, 2 }, + { 1, 0, 3, 2 }, + { 1, 0, -2, 3 }, + { 1, 0, -1, 3 }, + { 1, 0, 0, 3 }, + { 1, 0, 1, 3 }, + { 2, 0, 0, -6 }, + { 2, 0, -1, -5 }, + { 2, 0, 0, -5 }, + { 2, 0, 1, -5 }, + { 2, 0, -2, -4 }, + { 2, 0, -1, -4 }, + { 2, -2, 0, -4 }, + { 2, 0, 0, -4 }, + { 2, 0, 1, -4 }, + { 2, 0, 2, -4 }, + { 2, 0, -4, -3 }, + { 2, 0, -3, -3 }, + { 2, 0, -2, -3 }, + { 2, 2, -2, -3 }, + { 2, -2, -1, -3 }, + { 2, 0, -1, -3 }, + { 2, 2, -1, -3 }, + { 2, -2, 0, -3 }, + { 2, 0, 0, -3 }, + { 2, -2, 1, -3 }, + { 2, 0, 1, -3 }, + { 2, -2, 2, -3 }, + { 2, 0, 2, -3 }, + { 2, 0, 3, -3 }, + { 2, 0, -5, -2 }, + { 2, 0, -4, -2 }, + { 2, -2, -3, -2 }, + { 2, 0, -3, -2 }, + { 2, -2, -2, -2 }, + { 2, 0, -2, -2 }, + { 2, 2, -2, -2 }, + { 2, -2, -1, -2 }, + { 2, 0, -1, -2 }, + { 2, 2, -1, -2 }, + { 2, -2, 0, -2 }, + { 2, 0, 0, -2 }, + { 2, -4, 1, -2 }, + { 2, -2, 1, -2 }, + { 2, 0, 1, -2 }, + { 2, -2, 2, -2 }, + { 2, 0, 2, -2 }, + { 2, -2, 3, -2 }, + { 2, 0, 3, -2 }, + { 2, 0, 4, -2 }, + { 2, 0, 5, -2 }, + { 2, 0, -6, -1 }, + { 2, 0, -5, -1 }, + { 2, -2, -4, -1 }, + { 2, 0, -4, -1 }, + { 2, -2, -3, -1 }, + { 2, 0, -3, -1 }, + { 2, 2, -3, -1 }, + { 2, -2, -2, -1 }, + { 2, 0, -2, -1 }, + { 2, 2, -2, -1 }, + { 2, -2, -1, -1 }, + { 2, 0, -1, -1 }, + { 2, 2, -1, -1 }, + { 2, -4, 0, -1 }, + { 2, -2, 0, -1 }, + { 2, 0, 0, -1 }, + { 2, 2, 0, -1 }, + { 2, -4, 1, -1 }, + { 2, -2, 1, -1 }, + { 2, 0, 1, -1 }, + { 2, 2, 1, -1 }, + { 2, -4, 2, -1 }, + { 2, -2, 2, -1 }, + { 2, 0, 2, -1 }, + { 2, -2, 3, -1 }, + { 2, 0, 3, -1 }, + { 2, -2, 4, -1 }, + { 2, 0, 4, -1 }, + { 2, 0, 5, -1 }, + { 2, 0, 6, -1 }, + { 2, 0, -7, 0 }, + { 2, 0, -6, 0 }, + { 2, -2, -5, 0 }, + { 2, 0, -5, 0 }, + { 2, 2, -5, 0 }, + { 2, -2, -4, 0 }, + { 2, 0, -4, 0 }, + { 2, 2, -4, 0 }, + { 2, -2, -3, 0 }, + { 2, 0, -3, 0 }, + { 2, 2, -3, 0 }, + { 2, 4, -3, 0 }, + { 2, -4, -2, 0 }, + { 2, -2, -2, 0 }, + { 2, 0, -2, 0 }, + { 2, 2, -2, 0 }, + { 2, 4, -2, 0 }, + { 2, -4, -1, 0 }, + { 2, -2, -1, 0 }, + { 2, 0, -1, 0 }, + { 2, 2, -1, 0 }, + { 2, -4, 0, 0 }, + { 2, -2, 0, 0 }, + { 2, 0, 0, 0 }, + { 2, 2, 0, 0 }, + { 2, -4, 1, 0 }, + { 2, -2, 1, 0 }, + { 2, 0, 1, 0 }, + { 2, 2, 1, 0 }, + { 2, -4, 2, 0 }, + { 2, -2, 2, 0 }, + { 2, 0, 2, 0 }, + { 2, 2, 2, 0 }, + { 2, -4, 3, 0 }, + { 2, -2, 3, 0 }, + { 2, 0, 3, 0 }, + { 2, -2, 4, 0 }, + { 2, 0, 4, 0 }, + { 2, -2, 5, 0 }, + { 2, 0, 5, 0 }, + { 2, 0, 6, 0 }, + { 2, 0, -6, 1 }, + { 2, 0, -5, 1 }, + { 2, -2, -4, 1 }, + { 2, 0, -4, 1 }, + { 2, -2, -3, 1 }, + { 2, 0, -3, 1 }, + { 2, 2, -3, 1 }, + { 2, -2, -2, 1 }, + { 2, 0, -2, 1 }, + { 2, 2, -2, 1 }, + { 2, -2, -1, 1 }, + { 2, 0, -1, 1 }, + { 2, 2, -1, 1 }, + { 2, -4, 0, 1 }, + { 2, -2, 0, 1 }, + { 2, 0, 0, 1 }, + { 2, 2, 0, 1 }, + { 2, -4, 1, 1 }, + { 2, -2, 1, 1 }, + { 2, 0, 1, 1 }, + { 2, 2, 1, 1 }, + { 2, -4, 2, 1 }, + { 2, -2, 2, 1 }, + { 2, 0, 2, 1 }, + { 2, -2, 3, 1 }, + { 2, 0, 3, 1 }, + { 2, -2, 4, 1 }, + { 2, 0, 4, 1 }, + { 2, 0, 5, 1 }, + { 2, 0, -4, 2 }, + { 2, -2, -3, 2 }, + { 2, 0, -3, 2 }, + { 2, -2, -2, 2 }, + { 2, 0, -2, 2 }, + { 2, 2, -2, 2 }, + { 2, -2, -1, 2 }, + { 2, 0, -1, 2 }, + { 2, 2, -1, 2 }, + { 2, -2, 0, 2 }, + { 2, 0, 0, 2 }, + { 2, -2, 1, 2 }, + { 2, 0, 1, 2 }, + { 2, -2, 2, 2 }, + { 2, 0, 2, 2 }, + { 2, 0, -3, 3 }, + { 2, 0, -2, 3 }, + { 2, -2, -1, 3 }, + { 2, 0, -1, 3 }, + { 2, 0, 0, 3 }, + { 2, 0, -1, 4 }, + { 3, 0, -1, -4 }, + { 3, 0, 0, -4 }, + { 3, 0, -2, -3 }, + { 3, 0, -1, -3 }, + { 3, -2, 0, -3 }, + { 3, 0, 0, -3 }, + { 3, 0, 1, -3 }, + { 3, 0, -3, -2 }, + { 3, 0, -2, -2 }, + { 3, -2, -1, -2 }, + { 3, 0, -1, -2 }, + { 3, -2, 0, -2 }, + { 3, 0, 0, -2 }, + { 3, -2, 1, -2 }, + { 3, 0, 1, -2 }, + { 3, 0, 2, -2 }, + { 3, 0, -4, -1 }, + { 3, 0, -3, -1 }, + { 3, -2, -2, -1 }, + { 3, 0, -2, -1 }, + { 3, 2, -2, -1 }, + { 3, -2, -1, -1 }, + { 3, 0, -1, -1 }, + { 3, -2, 0, -1 }, + { 3, 0, 0, -1 }, + { 3, -2, 1, -1 }, + { 3, 0, 1, -1 }, + { 3, -2, 2, -1 }, + { 3, 0, 2, -1 }, + { 3, 0, -5, 0 }, + { 3, 0, -4, 0 }, + { 3, -2, -3, 0 }, + { 3, 0, -3, 0 }, + { 3, 2, -3, 0 }, + { 3, -2, -2, 0 }, + { 3, 0, -2, 0 }, + { 3, 2, -2, 0 }, + { 3, -2, -1, 0 }, + { 3, 0, -1, 0 }, + { 3, 2, -1, 0 }, + { 3, -4, 0, 0 }, + { 3, -2, 0, 0 }, + { 3, 0, 0, 0 }, + { 3, 2, 0, 0 }, + { 3, -4, 1, 0 }, + { 3, -2, 1, 0 }, + { 3, 0, 1, 0 }, + { 3, 2, 1, 0 }, + { 3, -2, 2, 0 }, + { 3, 0, 2, 0 }, + { 3, 0, 3, 0 }, + { 3, 0, 4, 0 }, + { 3, 0, -5, 1 }, + { 3, 0, -4, 1 }, + { 3, 0, -3, 1 }, + { 3, 2, -3, 1 }, + { 3, -2, -2, 1 }, + { 3, 0, -2, 1 }, + { 3, 2, -2, 1 }, + { 3, -2, -1, 1 }, + { 3, 0, -1, 1 }, + { 3, 2, -1, 1 }, + { 3, -2, 0, 1 }, + { 3, 0, 0, 1 }, + { 3, -2, 1, 1 }, + { 3, 0, 1, 1 }, + { 3, 0, 2, 1 }, + { 3, 0, 3, 1 }, + { 3, 0, -3, 2 }, + { 3, 0, -2, 2 }, + { 3, 0, -1, 2 }, + { 3, -2, 0, 2 }, + { 3, 0, 0, 2 }, + { 3, 0, 1, 2 }, + { 3, 0, 2, 2 }, + { 3, -2, -2, 3 }, + { 3, 0, -2, 3 }, + { 3, 0, -1, 3 }, + { 3, -2, 0, 3 }, + { 4, 0, -1, -5 }, + { 4, 0, 0, -5 }, + { 4, 0, -2, -4 }, + { 4, 0, -1, -4 }, + { 4, 0, 0, -4 }, + { 4, 0, 1, -4 }, + { 4, 0, -3, -3 }, + { 4, 0, -2, -3 }, + { 4, -2, -1, -3 }, + { 4, 0, -1, -3 }, + { 4, -2, 0, -3 }, + { 4, 0, 0, -3 }, + { 4, 0, 1, -3 }, + { 4, 0, 2, -3 }, + { 4, 0, -5, -2 }, + { 4, 0, -4, -2 }, + { 4, -2, -3, -2 }, + { 4, 0, -3, -2 }, + { 4, 2, -3, -2 }, + { 4, -2, -2, -2 }, + { 4, 0, -2, -2 }, + { 4, 2, -2, -2 }, + { 4, -2, -1, -2 }, + { 4, 0, -1, -2 }, + { 4, 2, -1, -2 }, + { 4, -2, 0, -2 }, + { 4, 0, 0, -2 }, + { 4, -2, 1, -2 }, + { 4, 0, 1, -2 }, + { 4, -2, 2, -2 }, + { 4, 0, 2, -2 }, + { 4, 0, 3, -2 }, + { 4, 0, -6, -1 }, + { 4, 0, -5, -1 }, + { 4, -2, -4, -1 }, + { 4, 0, -4, -1 }, + { 4, -2, -3, -1 }, + { 4, 0, -3, -1 }, + { 4, 2, -3, -1 }, + { 4, -2, -2, -1 }, + { 4, 0, -2, -1 }, + { 4, 2, -2, -1 }, + { 4, -4, -1, -1 }, + { 4, -2, -1, -1 }, + { 4, 0, -1, -1 }, + { 4, 2, -1, -1 }, + { 4, -4, 0, -1 }, + { 4, -2, 0, -1 }, + { 4, 0, 0, -1 }, + { 4, 2, 0, -1 }, + { 4, -4, 1, -1 }, + { 4, -2, 1, -1 }, + { 4, 0, 1, -1 }, + { 4, -2, 2, -1 }, + { 4, 0, 2, -1 }, + { 4, -2, 3, -1 }, + { 4, 0, 3, -1 }, + { 4, 0, 4, -1 }, + { 4, 0, -7, 0 }, + { 4, 0, -6, 0 }, + { 4, -2, -5, 0 }, + { 4, 0, -5, 0 }, + { 4, -2, -4, 0 }, + { 4, 0, -4, 0 }, + { 4, 2, -4, 0 }, + { 4, -2, -3, 0 }, + { 4, 0, -3, 0 }, + { 4, 2, -3, 0 }, + { 4, -4, -2, 0 }, + { 4, -2, -2, 0 }, + { 4, 0, -2, 0 }, + { 4, 2, -2, 0 }, + { 4, -4, -1, 0 }, + { 4, -2, -1, 0 }, + { 4, 0, -1, 0 }, + { 4, 2, -1, 0 }, + { 4, -4, 0, 0 }, + { 4, -2, 0, 0 }, + { 4, 0, 0, 0 }, + { 4, 2, 0, 0 }, + { 4, -4, 1, 0 }, + { 4, -2, 1, 0 }, + { 4, 0, 1, 0 }, + { 4, 2, 1, 0 }, + { 4, -2, 2, 0 }, + { 4, 0, 2, 0 }, + { 4, -2, 3, 0 }, + { 4, 0, 3, 0 }, + { 4, -2, 4, 0 }, + { 4, 0, 4, 0 }, + { 4, 0, 5, 0 }, + { 4, 0, -5, 1 }, + { 4, 0, -4, 1 }, + { 4, 0, -3, 1 }, + { 4, 2, -3, 1 }, + { 4, -2, -2, 1 }, + { 4, 0, -2, 1 }, + { 4, 2, -2, 1 }, + { 4, -2, -1, 1 }, + { 4, 0, -1, 1 }, + { 4, 2, -1, 1 }, + { 4, -2, 0, 1 }, + { 4, 0, 0, 1 }, + { 4, 2, 0, 1 }, + { 4, -4, 1, 1 }, + { 4, -2, 1, 1 }, + { 4, 0, 1, 1 }, + { 4, -2, 2, 1 }, + { 4, 0, 2, 1 }, + { 4, 0, 3, 1 }, + { 4, 0, 4, 1 }, + { 4, 0, -4, 2 }, + { 4, -2, -3, 2 }, + { 4, 0, -3, 2 }, + { 4, -2, -2, 2 }, + { 4, 0, -2, 2 }, + { 4, -2, -1, 2 }, + { 4, 0, -1, 2 }, + { 4, -2, 0, 2 }, + { 4, 0, 0, 2 }, + { 4, 0, 1, 2 }, + { 4, 0, -2, 3 }, + { 4, 0, -1, 3 }, + { 4, 0, 0, 3 }, + { 5, 0, -2, -3 }, + { 5, 0, -3, -2 }, + { 5, 0, -2, -2 }, + { 5, -2, -1, -2 }, + { 5, 0, -1, -2 }, + { 5, 0, 0, -2 }, + { 5, 0, 1, -2 }, + { 5, 0, -4, -1 }, + { 5, 0, -3, -1 }, + { 5, -2, -2, -1 }, + { 5, 0, -2, -1 }, + { 5, -2, -1, -1 }, + { 5, 0, -1, -1 }, + { 5, -2, 0, -1 }, + { 5, 0, 0, -1 }, + { 5, -2, 1, -1 }, + { 5, 0, 1, -1 }, + { 5, 0, -4, 0 }, + { 5, -2, -3, 0 }, + { 5, 0, -3, 0 }, + { 5, 2, -3, 0 }, + { 5, -2, -2, 0 }, + { 5, 0, -2, 0 }, + { 5, -2, -1, 0 }, + { 5, 0, -1, 0 }, + { 5, -2, 0, 0 }, + { 5, 0, 0, 0 }, + { 5, -2, 1, 0 }, + { 5, 0, 1, 0 }, + { 5, 0, 2, 0 }, + { 5, 0, -4, 1 }, + { 5, 0, -3, 1 }, + { 5, 0, -2, 1 }, + { 5, -2, -1, 1 }, + { 5, 0, -1, 1 }, + { 5, -2, 0, 1 }, + { 5, 0, 0, 1 }, + { 5, 0, 1, 1 }, + { 5, 0, 2, 1 }, + { 5, 0, -1, 2 }, + { 5, 0, 0, 2 }, + { 6, 0, -2, -4 }, + { 6, 0, -1, -4 }, + { 6, 0, -3, -3 }, + { 6, 0, -2, -3 }, + { 6, 0, -1, -3 }, + { 6, 0, 0, -3 }, + { 6, 0, 1, -3 }, + { 6, 0, -4, -2 }, + { 6, 0, -3, -2 }, + { 6, -2, -2, -2 }, + { 6, 0, -2, -2 }, + { 6, -2, -1, -2 }, + { 6, 0, -1, -2 }, + { 6, -2, 0, -2 }, + { 6, 0, 0, -2 }, + { 6, 0, 1, -2 }, + { 6, 0, 2, -2 }, + { 6, 0, -4, -1 }, + { 6, -2, -3, -1 }, + { 6, 0, -3, -1 }, + { 6, 2, -3, -1 }, + { 6, -2, -2, -1 }, + { 6, 0, -2, -1 }, + { 6, 2, -2, -1 }, + { 6, -2, -1, -1 }, + { 6, 0, -1, -1 }, + { 6, -2, 0, -1 }, + { 6, 0, 0, -1 }, + { 6, 0, 1, -1 }, + { 6, 0, 2, -1 }, + { 6, 0, 3, -1 }, + { 6, 0, -5, 0 }, + { 6, 0, -4, 0 }, + { 6, 2, -4, 0 }, + { 6, -2, -3, 0 }, + { 6, 0, -3, 0 }, + { 6, 2, -3, 0 }, + { 6, -2, -2, 0 }, + { 6, 0, -2, 0 }, + { 6, 2, -2, 0 }, + { 6, -2, -1, 0 }, + { 6, 0, -1, 0 }, + { 6, 2, -1, 0 }, + { 6, -4, 0, 0 }, + { 6, -2, 0, 0 }, + { 6, 0, 0, 0 }, + { 6, 0, 1, 0 }, + { 6, -2, 2, 0 }, + { 6, 0, 2, 0 }, + { 6, 0, 3, 0 }, + { 6, 0, 4, 0 }, + { 6, 0, -4, 1 }, + { 6, 0, -3, 1 }, + { 6, -2, -2, 1 }, + { 6, 0, -2, 1 }, + { 6, -2, -1, 1 }, + { 6, 0, -1, 1 }, + { 6, -2, 0, 1 }, + { 6, 0, 0, 1 }, + { 6, 0, 1, 1 }, + { 6, 0, 2, 1 }, + { 6, 0, -4, 2 }, + { 6, 0, -3, 2 }, + { 6, 0, -2, 2 }, + { 6, 0, -1, 2 }, + { 7, 0, -4, -1 }, + { 7, 0, -3, -1 }, + { 7, 0, -2, -1 }, + { 7, 0, -1, -1 }, + { 7, 0, -4, 0 }, + { 7, 0, -3, 0 }, + { 7, -2, -2, 0 }, + { 7, 0, -2, 0 }, + { 7, -2, -1, 0 }, + { 7, 0, -1, 0 }, + { 7, 0, 0, 0 }, + { 7, 0, -3, 1 }, + { 7, 0, -2, 1 }, + { 7, 0, -1, 1 }, + { 8, 0, -4, -2 }, + { 8, 0, -3, -2 }, + { 8, 0, -2, -2 }, + { 8, 0, -1, -2 }, + { 8, 0, 0, -2 }, + { 8, 0, -4, -1 }, + { 8, 0, -3, -1 }, + { 8, -2, -2, -1 }, + { 8, 0, -2, -1 }, + { 8, -2, -1, -1 }, + { 8, 0, -1, -1 }, + { 8, 0, 0, -1 }, + { 8, 0, 1, -1 }, + { 8, 0, -5, 0 }, + { 8, 0, -4, 0 }, + { 8, -2, -3, 0 }, + { 8, 0, -3, 0 }, + { 8, -2, -2, 0 }, + { 8, 0, -2, 0 }, + { 8, -2, -1, 0 }, + { 8, 0, -1, 0 }, + { 8, -2, 0, 0 }, + { 8, 0, 0, 0 }, + { 8, 0, 1, 0 }, + { 8, 0, 2, 0 }, + { 8, 0, -4, 1 }, + { 8, 0, -3, 1 }, + { 8, 0, -2, 1 }, + { 8, 0, -1, 1 }, + { 8, 0, 0, 1 }, + { 10, 0, -3, -1 }, + { 10, 0, -2, -1 }, + { 10, 0, -5, 0 }, + { 10, 0, -4, 0 }, + { 10, 0, -3, 0 }, + { 10, 0, -2, 0 }, + { 10, 0, -1, 0 } +} }; + +constexpr array g_MAIN_S3_Nominal +{ { + 385000.52719, + -3.14837, + -0.00003, + 0.00038, + 79.66183, + -20905.32206, + -0.10326, + -0.00837, + -4.42124, + -569.92332, + -0.00102, + 0.00033, + -0.00111, + -23.21032, + 0.00026, + 0.00002, + 0.00027, + -1.11693, + 0.00004, + 0.00002, + -0.05888, + -0.00329, + -0.00019, + -0.00011, + -0.00174, + -0.02674, + -0.42242, + 0.00015, + -0.00019, + -7.00293, + -0.05020, + -0.00007, + -0.00769, + -129.62476, + 0.33465, + 0.00003, + -0.18568, + 48.89010, + -0.15803, + 0.00003, + -0.24811, + 104.75896, + -0.00682, + 0.00005, + 0.03265, + 5.75105, + -0.00030, + -0.00080, + 0.35509, + -0.00006, + 0.02304, + 0.00153, + 0.00010, + -0.00005, + -0.00066, + -0.00938, + -0.13618, + -0.00099, + -0.00031, + -2.11728, + 0.00450, + -0.00558, + 1.06575, + -0.00342, + -0.00237, + 1.16562, + -0.00011, + 0.00018, + 0.05072, + 0.00228, + 0.00009, + -0.00021, + -0.00287, + -0.00002, + -0.03894, + 0.00007, + -0.00017, + 0.02127, + -0.00007, + -0.00003, + 0.01912, + 0.00078, + 0.00003, + -0.00006, + -0.00073, + 0.00034, + 0.00037, + -0.00006, + 0.00035, + -0.00161, + 0.00004, + 0.00029, + 0.00844, + -0.00024, + -0.02948, + -0.00003, + -0.00002, + 0.00159, + 0.00036, + 0.00004, + 0.00010, + 0.00065, + 0.00002, + -0.00422, + -0.00008, + -0.00011, + 0.11411, + 0.00021, + -0.01366, + 0.49757, + -0.00074, + 0.00044, + 0.10998, + -0.00007, + -0.00003, + 0.01121, + 0.00097, + 0.00008, + -0.00003, + -0.00043, + -0.00636, + -0.00019, + -0.09938, + -0.00048, + -0.00278, + -1.73852, + 0.00457, + -0.04232, + -8.37909, + -0.02471, + -0.79564, + 108.74265, + -0.01874, + 0.00017, + 0.06055, + 6.32199, + -0.00164, + 0.00203, + 0.37852, + -0.00013, + 0.00011, + 0.02368, + 0.00152, + 0.00010, + 0.00006, + 0.00101, + 0.01729, + 0.00014, + 0.00008, + 0.33226, + -0.00148, + 0.00156, + 0.85127, + 0.00331, + 0.03379, + -16.67533, + -0.00006, + -0.00562, + -0.93335, + -0.00037, + -0.05904, + -0.00002, + -0.00392, + -0.00027, + 0.00002, + 0.00028, + 0.00324, + 0.00438, + -0.00002, + 0.03729, + 0.00002, + 0.00646, + 0.00067, + 0.00006, + 0.00006, + 0.00008, + 0.00054, + 0.00007, + -0.00002, + -0.00012, + -0.00058, + -0.00004, + 0.00036, + -0.00426, + 0.00003, + -0.01578, + -0.00113, + -0.00009, + 0.00002, + 0.00046, + 0.01116, + 0.00003, + 0.00026, + -0.14808, + 0.00007, + 0.00104, + -0.41076, + 0.00027, + -0.02855, + 0.00003, + -0.00209, + -0.00016, + 0.00003, + 0.00067, + 0.00002, + 0.01517, + 0.00041, + 0.34304, + 0.00099, + 0.00957, + -4.95049, + 0.00168, + 0.02839, + -9.88519, + -0.00003, + 0.00792, + -0.65758, + 0.00084, + -0.04608, + 0.00006, + -0.00335, + -0.00025, + -0.00002, + 0.00006, + 0.00119, + 0.00004, + 0.02334, + 0.00079, + 0.49506, + -0.00046, + 0.01518, + 10.05654, + 0.03024, + 0.32336, + -152.14314, + 0.03734, + -0.00035, + 0.65710, + -204.59357, + 0.00108, + -0.00085, + 0.20942, + -12.83185, + 0.00000, + 0.00013, + 0.01804, + -0.84883, + 0.00127, + -0.05850, + 0.00009, + -0.00413, + -0.00030, + -0.00002, + 0.00020, + 0.00304, + 0.00012, + 0.04740, + -0.00002, + 0.00188, + 0.77854, + 0.00048, + 0.02910, + 14.40262, + -0.02008, + -0.00018, + -0.00002, + 0.47263, + 246.15768, + 0.77405, + -0.00014, + -0.00039, + 8.75170, + -3699.10468, + 0.59633, + -0.00745, + 10.32129, + -2955.96651, + 0.03143, + -0.01866, + 4.13118, + -170.73274, + 0.00181, + 0.00219, + 0.28399, + -10.44472, + 0.00014, + 0.00002, + 0.01811, + -0.66968, + 0.00119, + -0.04422, + 0.00008, + -0.00298, + -0.00020, + 0.00009, + 0.00116, + 0.00003, + 0.01417, + 0.00021, + 0.16858, + 0.00030, + 0.00052, + 0.14368, + -0.00203, + -0.04736, + 24.20935, + -0.00588, + 0.00012, + -0.13572, + 30.82498, + -0.00143, + 0.00040, + -0.05527, + 2.61650, + -0.00015, + -0.00005, + -0.00537, + 0.21252, + -0.00044, + 0.01704, + -0.00004, + 0.00135, + 0.00011, + -0.00041, + -0.00003, + -0.01036, + -0.00055, + -0.10888, + -0.00046, + -0.01072, + 2.35380, + -0.00004, + 0.00080, + 0.14764, + 0.00187, + 0.00912, + 0.00010, + 0.00036, + -0.00010, + -0.00052, + -0.00003, + 0.00208, + -0.00024, + 0.00002, + 0.00003, + -0.00003, + 0.00008, + 0.00065, + 0.00003, + -0.00055, + -0.00004, + -0.00016, + 0.00224, + -0.00005, + 0.01389, + 0.00070, + -0.01048, + 0.00002, + -0.00067, + -0.00003, + -0.00012, + -0.00334, + -0.00014, + 0.05293, + -0.00006, + -0.00089, + 0.25561, + 0.01441, + -0.15708, + 0.00049, + -0.00887, + 0.00003, + -0.00030, + -0.00003, + -0.00170, + -0.00005, + -0.04843, + -0.00013, + -0.00206, + 0.86243, + -0.00101, + -0.00868, + 3.25823, + -0.00006, + -0.00018, + 0.20099, + -1.41893, + -0.00015, + 0.00005, + 0.00671, + -0.06545, + -0.00002, + 0.00035, + -0.00111, + 0.00016, + 0.00003, + -0.00005, + -0.00065, + -0.00680, + -0.00002, + -0.00009, + 0.03810, + 0.00007, + -0.00023, + -0.21259, + 0.00006, + -0.00808, + -0.10766, + -0.00018, + -0.01448, + -0.00150, + -0.00014, + -0.00007, + 0.00032, + 0.00099, + 0.00009, + 0.00162, + 0.00028, + 0.00003, + 0.00000, + -0.00004, + 0.00010, + 0.00002, + -0.00004, + -0.00002, + -0.00022, + -0.00078, + -0.00045, + -0.00006, + -0.00011, + -0.00513, + -0.00006, + -0.01571, + -0.00022, + -0.00817, + -0.00114, + -0.00013, + -0.00002, + -0.00012, + -0.00003, + -0.00239, + 0.00004, + -0.00036, + -0.10834, + 0.00011, + -0.00145, + -0.27906, + 0.00005, + -0.00403, + -0.12806, + 0.00023, + -0.01728, + 0.00005, + -0.00184, + -0.00018, + -0.00004, + -0.00041, + -0.00005, + -0.00230, + -0.00059, + -0.04316, + 0.00077, + -0.00661, + -1.89710, + 0.00160, + -0.00006, + -0.02698, + -3.95812, + 0.00069, + 0.00003, + -0.05789, + -1.57145, + 0.00008, + 0.00005, + 0.00272, + -0.20286, + 0.00055, + -0.02079, + 0.00006, + -0.00194, + -0.00017, + -0.00005, + -0.00055, + -0.00006, + -0.00542, + -0.00072, + -0.02939, + -0.00009, + -0.00744, + -0.51423, + 0.00925, + -0.00014, + -0.07982, + -21.63627, + 0.01483, + -0.00080, + -0.32176, + -34.78245, + 0.00550, + 0.00032, + -0.50793, + -11.64993, + 0.00067, + 0.00050, + 0.01938, + -1.42255, + 0.00007, + 0.00400, + -0.13922, + 0.00044, + -0.01243, + 0.00004, + -0.00106, + -0.00009, + -0.00004, + 0.00093, + -0.02399, + -0.00007, + 0.00036, + 0.23696, + -0.00022, + 0.01551, + 0.57881, + -0.00012, + 0.01969, + 0.24453, + -0.00003, + -0.00003, + 0.00013, + 0.03682, + -0.00008, + 0.00430, + 0.00045, + 0.00004, + -0.00003, + 0.00002, + 0.00252, + 0.00021, + 0.02658, + -0.00064, + 0.01868, + 0.00005, + 0.00136, + 0.00003, + -0.00015, + -0.00020, + -0.00003, + 0.00003, + 0.00009, + 0.00044, + 0.00002, + -0.00006, + -0.00016, + -0.00002, + 0.00003, + 0.00128, + 0.00003, + 0.00573, + 0.00034, + -0.00056, + 0.00021, + -0.00153, + 0.00003, + -0.00019, + 0.00026, + 0.00004, + 0.01149, + -0.00002, + 0.00030, + 0.04591, + 0.00281, + -0.00248, + 0.00142, + -0.00814, + 0.00020, + -0.00089, + -0.00006, + 0.00003, + 0.00038, + -0.00256, + -0.00015, + -0.00311, + -0.00009, + -0.00111, + -0.00020, + -0.00003, + 0.00007, + 0.00003, + -0.00003, + -0.00003, + -0.00012, + -0.00044, + -0.00043, + -0.00017, + -0.00003, + -0.00007, + -0.00195, + -0.00003, + -0.00618, + -0.00011, + -0.00541, + -0.00005, + -0.00194, + -0.00035, + -0.00005, + -0.00085, + -0.00003, + -0.02436, + 0.00004, + -0.00041, + -0.06678, + 0.00004, + -0.00121, + -0.05191, + -0.00049, + -0.01709, + -0.00296, + -0.00039, + -0.00005, + -0.00009, + -0.00659, + 0.00012, + -0.00027, + -0.18316, + 0.00028, + -0.00326, + -0.42250, + 0.00020, + -0.00785, + -0.28663, + 0.00006, + -0.00004, + -0.00270, + -0.08587, + -0.01420, + 0.00004, + -0.00182, + -0.00020, + -0.00002, + -0.00024, + 0.00278, + 0.00019, + 0.00948, + 0.00042, + 0.00780, + 0.00016, + 0.00272, + 0.00052, + 0.00008, + 0.00004, + 0.00034, + 0.00044, + 0.00014, + 0.00002, + 0.00011, + 0.00006, + -0.00002, + 0.00015, + 0.00066, + 0.00004, + 0.00032, + 0.00004, + -0.00008, + -0.00007, + -0.00003, + -0.00007, + -0.00004, + -0.00003, + -0.00013, + -0.00016, + -0.00010, + -0.00003, + -0.00033, + -0.00109, + -0.00002, + -0.00126, + -0.00002, + -0.00070, + -0.00022, + -0.00004, + -0.00009, + -0.00184, + -0.00004, + -0.00539, + -0.00012, + -0.00559, + -0.00009, + -0.00285, + -0.00002, + -0.00083, + -0.00016, + -0.00002, + 0.00004, + 0.00015, + 0.00019, + 0.00011, + 0.00004, + -0.00003, + -0.00002, + -0.00002, + -0.00007, + -0.00010, + -0.00007, + -0.00003 +} }; + +constexpr array g_MAIN_S3_LLR +{ { + 3.8500052903963596e+005, + -3.1483019999591910e+000, + -2.9999999997311145e-005, + 3.7998575836933673e-004, + 7.9660568469778482e+001, + -2.0905355137759419e+004, + -1.0325754056746472e-001, + -8.3697361852690996e-003, + -4.4211770490387590e+000, + -5.6992512638489302e+002, + -1.0199305524721176e-003, + 3.2999010831688693e-004, + -1.1100043486792319e-003, + -2.3210430497874530e+001, + 2.6000521851116001e-004, + 1.9999999998207433e-005, + 2.7000173948728815e-004, + 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+ 3.9999999996845056e-005, + 1.4999999998816893e-004, + 1.8999999998501401e-004, + 1.0999999999132389e-004, + 3.9999999996845056e-005, + -2.9999999997633791e-005, + -1.9999999998422528e-005, + -1.9999999998422528e-005, + -6.9999999994478830e-005, + -9.9999999992112637e-005, + -6.9999999994478830e-005, + -2.9999999997633791e-005 +} }; + +struct AAPLUS_EXT_CLASS ELPMPP02PertubationsCoefficient +{ + double m_S; + double m_C; + array m_I; +}; + +constexpr array g_PERT_S1_1 +{ { + { -1.274921554086e+01, 6.368794709728e+00, { 0, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -7.062989999049e+00, 1.158760846981e-04, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -1.142992395166e+00, -2.364916989220e-03, { 2, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { 2.363518832550e-01, -8.436259830515e-01, { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -7.052490932382e-01, 3.523015957469e-01, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 6.616042701633e-01, 3.305118606429e-01, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -8.216317272874e-01, -1.489776891248e-04, { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { -5.199368388052e-01, -2.209768624009e-01, { 0, 0, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 6.386900454119e-01, 1.372171387329e-02, { 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { -6.437493342238e-01, 1.506773061910e-04, { 2, 0, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { 4.384626308067e-01, 7.779536316866e-02, { 2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -4.932999998788e-01, 1.093433068322e-05, { 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -4.914099998793e-01, 1.089243754518e-05, { 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 2.417546337192e-01, -2.166115750689e-01, { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 3.605999999723e-01, 4.468496670597e-06, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -2.880531057061e-04, -3.435256417406e-01, { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 2.785532521052e-01, 4.925556417323e-02, { 2, 0, -2, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -1.274356135829e-01, -1.874226085810e-01, { 0, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -2.369216184127e-02, 2.842294293431e-01, { 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 3.015549263297e-01, 1.069270687790e-03, { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { 2.451570248624e-01, 3.653652585652e-04, { 2, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { 8.465265199602e-02, -1.407384711803e-01, { 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { -1.494596370263e-01, 7.465967763680e-02, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 4.546580467031e-02, -1.752828660520e-01, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -4.545764455406e-02, -1.752578613376e-01, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.470981586752e-01, 7.348183257675e-02, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 1.458710921404e-01, 7.286925722753e-02, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -2.109925713502e-01, 6.424260088501e-03, { 2, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { 1.405585638153e-01, 7.021552095395e-02, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.944610283953e-01, -7.991843079482e-04, { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0 } }, + { 1.418078290757e-01, -5.275582672188e-02, { 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { -1.846256502334e-01, -1.400871323511e-03, { 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -1.825375808697e-01, -4.675890056110e-05, { 0, 0, 1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { 3.032898165783e-03, -1.750854674915e-01, { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 3.978036373875e-02, -1.310814746794e-01, { 2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -3.974077519511e-02, -1.309644515344e-01, { 2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.648388533380e-01, 5.196879287529e-03, { 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { -1.608349137199e-01, 8.736000213433e-04, { 2, 0, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 1.537931154659e-01, -3.273344979541e-05, { 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.435742094759e-01, 3.108751894607e-03, { 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { 1.360027654208e-01, 3.025021139390e-06, { 2, 0, -1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -1.342701214205e-01, 8.561989583470e-04, { 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 1.312406745697e-01, 3.886344472925e-05, { 2, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { -2.702253773839e-02, 1.014600539612e-01, { 0, 0, 1, 0, 0, -26, 29, 0, 0, 0, 0, 0, 0 } }, + { -1.274624250209e-01, -3.437082514475e-05, { 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { 4.610645230810e-02, -7.936456566333e-02, { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { -1.251817003712e-01, 2.722014929245e-04, { 0, 0, 1, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.100464286193e-01, 2.129256270728e-03, { 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { 2.531871446849e-02, -8.608593674398e-02, { 2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -2.528677204472e-02, -8.599685296556e-02, { 2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 9.369899207918e-02, -1.679495089593e-02, { 0, 0, 1, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 } }, + { -3.363503514059e-03, -1.062435442293e-01, { 2, 0, -1, 0, 0, -20, 21, 0, 0, 0, 0, 0, 0 } }, + { 2.470223886570e-02, -8.272085381316e-02, { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { 6.646652705243e-04, -1.040473622080e-01, { 1, 0, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 7.978857630880e-02, -2.203792887334e-02, { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0 } }, + { 9.928554532669e-02, 2.802063301635e-05, { 2, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { 9.641999998810e-02, 1.514561818233e-06, { 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -7.485028810547e-02, 1.699553722034e-02, { 2, 0, -1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 4.408756234229e-02, -4.651768746219e-02, { 0, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 8.908541081533e-02, -1.336437809973e-03, { 2, 0, -1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { -4.336157307801e-02, -4.603357302274e-02, { 0, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { 8.402334137698e-02, -1.398976338058e-03, { 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { -6.570754518098e-02, -1.869023812477e-02, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 6.569673491537e-02, -1.868821484668e-02, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { -8.239894315813e-02, -1.721815563775e-05, { 2, 0, -1, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 } }, + { -5.122726252611e-02, 2.814400567569e-02, { 1, 0, 0, 0, 0, 0, -34, 41, -2, 0, 0, 0, 0 } }, + { -6.114893815787e-02, 1.780364764413e-02, { 1, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 } }, + { -7.876249221527e-03, 6.707600620165e-02, { 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 7.207328031647e-02, 5.428618910529e-05, { 2, 0, -2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { -4.791099469573e-02, 2.393356012740e-02, { 0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -5.797746905209e-02, 1.324483057208e-02, { 2, 0, -2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { -6.866383574899e-02, -1.517751167014e-04, { 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -6.712772520604e-02, -8.354750054757e-04, { 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { 4.494897587386e-02, 2.245473573767e-02, { 0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -5.516600831523e-03, 6.120202714372e-02, { 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -5.455211720422e-03, 6.058496617670e-02, { 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -6.568999998999e-02, 1.146506785577e-06, { 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 3.468498373457e-04, -6.519920954471e-02, { 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 6.455999999827e-02, 4.732495173325e-07, { 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { 4.047544005549e-02, -2.327078047287e-02, { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 } }, + { -2.682706748336e-02, -3.691027051060e-02, { 2, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { -1.691051323941e-03, -6.178281619898e-02, { 2, 0, -1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.357694221146e-03, -6.053659098999e-02, { 0, 0, 1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { -5.902765988652e-02, -1.155517007587e-03, { 2, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 } }, + { -5.079183155517e-02, -9.337382031453e-03, { 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -3.762017031905e-02, 2.022520185509e-02, { 2, 0, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 } }, + { -5.754285635716e-02, -1.678488387368e-04, { 2, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { 5.739991698701e-02, 7.702973650719e-05, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.379641022102e-03, -5.552670732290e-02, { 0, 0, 1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -5.615698113287e-02, 3.914464309553e-04, { 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 5.261615047610e-02, -3.520688147008e-03, { 2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { 2.107533132410e-03, -5.267517899506e-02, { 2, -2, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 } }, + { 3.484750387190e-02, -1.987854091654e-02, { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0 } }, + { 2.314967669127e-02, -3.138805130984e-02, { 0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { -2.311868646981e-02, -3.133649579317e-02, { 0, 0, 1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -1.062373144859e-02, 4.350707132485e-02, { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 } }, + { -1.709977235023e-02, -3.673154452032e-02, { 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { 1.627017127291e-02, -3.706102997884e-02, { 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { 2.051798788395e-02, -3.280307775676e-02, { 2, 0, -1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { -2.036987170467e-02, -3.254858972710e-02, { 2, 0, -1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -1.947693818530e-02, -3.242643906379e-02, { 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { 4.148866084833e-02, -1.038000451824e-02, { 1, 1, -1, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0 } }, + { 5.095532907326e-02, 5.019015002132e-04, { 2, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { 5.058366657776e-02, 1.336495407700e-04, { 0, 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0, 0 } }, + { 3.932028594100e-07, -2.611923269580e-08, { 2, 0, 2, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { -9.720538518300e-08, -2.717514580200e-07, { 3, -1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 3.022722274300e-08, 2.818504289900e-07, { 1, 1, -3, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.182862042900e-07, -1.719865799049e-07, { 4, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { 3.748640002468e-12, -1.224522926694e-08, { 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S1_2 +{ { + { 1.676800000000e+00, 0.000000000000e+00, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -5.164200000000e-01, 0.000000000000e+00, { 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.138300000000e-01, 0.000000000000e+00, { 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -3.711500000000e-01, 0.000000000000e+00, { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.028286271523e-01, 2.234626048870e-01, { 0, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 2.756000000000e-01, 0.000000000000e+00, { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.118000000000e-02, 0.000000000000e+00, { 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 6.128000000000e-02, 0.000000000000e+00, { 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.516000000000e-02, 0.000000000000e+00, { 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.048000000000e-02, 0.000000000000e+00, { 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.747000000000e-02, 0.000000000000e+00, { 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -3.707000000000e-02, 0.000000000000e+00, { 2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -3.649000000000e-02, 0.000000000000e+00, { 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.438000000000e-02, 0.000000000000e+00, { 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.165000000000e-02, 0.000000000000e+00, { 2, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.884423738233e-03, 1.619871474513e-02, { 0, 0, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.923000000000e-02, 0.000000000000e+00, { 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.688830802010e-03, 1.236325946529e-02, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -5.335288840325e-03, 1.159490956816e-02, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -1.293000000000e-02, 0.000000000000e+00, { 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.270000000000e-02, 0.000000000000e+00, { 2, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.097000000000e-02, 0.000000000000e+00, { 4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.087705472886e-02, 2.009137471921e-05, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 8.345336034681e-03, 1.996019810385e-05, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.340000000000e-03, 0.000000000000e+00, { 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -6.860000000000e-03, 0.000000000000e+00, { 4, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -6.310000000000e-03, 0.000000000000e+00, { 2, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.620197481278e-03, 6.865906201356e-04, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -5.619335487852e-03, 6.864397171771e-04, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 1.179438359444e-03, 4.955296321374e-03, { 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 5.850000000000e-03, 0.000000000000e+00, { 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.649791009018e-03, -2.823784808853e-03, { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -5.390000000000e-03, 0.000000000000e+00, { 2, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.690000000000e-03, 0.000000000000e+00, { 4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.743086927735e-03, 2.159901950685e-03, { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 1.209511837538e-03, 2.627512588305e-03, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -3.780000000000e-03, 0.000000000000e+00, { 2, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.190411333055e-03, 2.585936204964e-03, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -1.180473222374e-03, 2.564326994009e-03, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 2.918344135177e-03, 8.019181869646e-04, { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 3.620000000000e-03, 0.000000000000e+00, { 2, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.137411022758e-03, 2.470838906457e-03, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.910437928745e-03, -1.509828838633e-03, { 0, 0, 1, 0, 0, -15, 9, 4, 0, 0, 0, 0, 0 } }, + { 1.165695068280e-03, 2.092303804724e-03, { 2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -3.170000000000e-03, 0.000000000000e+00, { 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.000000000000e-03, 0.000000000000e+00, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 1.145820737354e-03, 1.827078556584e-03, { 2, 0, -1, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -2.950000000000e-03, 0.000000000000e+00, { 2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.064358057103e-04, 2.830054925663e-03, { 0, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -2.311870738770e-03, -6.066351727446e-04, { 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -2.700000000000e-03, 0.000000000000e+00, { 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.560000000000e-03, 0.000000000000e+00, { 2, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.409839311860e-04, 1.329015515115e-03, { 2, 0, -2, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -7.249724657658e-04, -1.314376794393e-03, { 0, 0, 0, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { 1.350061234299e-03, 6.642146325955e-04, { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { -4.302463382935e-04, 1.552842952737e-03, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 4.302919274337e-04, 1.552283666829e-03, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 1.484748040784e-03, 4.850625817016e-04, { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.860000000000e-03, 0.000000000000e+00, { 2, 0, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.144929961576e-04, 8.394611316827e-04, { 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { -1.690000000000e-03, 0.000000000000e+00, { 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.084223643241e-04, -7.500674816019e-04, { 2, 0, -1, 0, 0, -12, 8, 0, 0, 0, 0, 0, 0 } }, + { 1.600000000000e-03, 0.000000000000e+00, { 4, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.550000000000e-03, 0.000000000000e+00, { 4, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.480000000000e-03, 0.000000000000e+00, { 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.412477983854e-03, -1.984589620100e-05, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.410000000000e-03, 0.000000000000e+00, { 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.380000000000e-03, 0.000000000000e+00, { 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.747258295539e-04, 3.235212632740e-04, { 2, 0, -1, 0, 0, -20, 21, 0, 0, 0, 0, 0, 0 } }, + { 1.290000000000e-03, 0.000000000000e+00, { 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.470958880098e-04, 3.175357694203e-04, { 1, 0, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.260000000000e-03, 0.000000000000e+00, { 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.877526355574e-04, 8.423021577940e-04, { 0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -7.428358359466e-04, 4.826342693258e-04, { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { -1.200000000000e-03, 0.000000000000e+00, { 2, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.714749982007e-04, 9.018500533025e-04, { 0, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { -2.693588793364e-04, 8.947979090916e-04, { 0, 0, 2, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { -3.637606614093e-04, 7.901527089040e-04, { 0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 8.273983542339e-04, -2.894072019391e-04, { 2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -8.238944661497e-04, -2.899716771580e-04, { 2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 3.644678598537e-04, -7.385526112026e-04, { 0, 0, 1, 0, 0, -26, 29, 0, 0, 0, 0, 0, 0 } }, + { 1.015388309029e-03, -7.790208762633e-05, { 2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.014481868351e-03, -7.781523809714e-05, { 2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 1.070000000000e-03, 0.000000000000e+00, { 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.040000000000e-03, 0.000000000000e+00, { 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.700000000000e-04, 0.000000000000e+00, { 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.600000000000e-04, 0.000000000000e+00, { 2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.400000000000e-04, 0.000000000000e+00, { 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.400000000000e-04, 0.000000000000e+00, { 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.000000000000e-04, 0.000000000000e+00, { 4, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -8.800000000000e-04, 0.000000000000e+00, { 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.733005698892e-04, -6.022022256524e-04, { 1, 1, -1, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0 } }, + { -6.181889804631e-04, 1.985335358478e-04, { 0, 0, 1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 5.953175694730e-04, 1.996345043824e-04, { 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -7.900000000000e-04, 0.000000000000e+00, { 4, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -7.600000000000e-04, 0.000000000000e+00, { 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.600000000000e-04, 0.000000000000e+00, { 0, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.600000000000e-04, 0.000000000000e+00, { 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.682300897322e-04, 1.809624486398e-04, { 0, 0, 1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 7.300000000000e-04, 0.000000000000e+00, { 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 7.300000000000e-04, 0.000000000000e+00, { 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 4.590202466490e-04, 2.513200933583e-04, { 2, 0, -1, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0 } }, + { -7.100000000000e-04, 0.000000000000e+00, { 4, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.099444443470e-04, 5.884444587296e-04, { 0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } 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0, 2, 0, 0, -5, 0, 0, 0 } }, + { -3.804530752362e-06, -9.248002257479e-06, { 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 } }, + { -1.082010946884e-05, -2.223390184840e-06, { 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 } }, + { 9.887331881579e-06, 3.141795391318e-06, { 3, 0, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 3.593533768645e-06, 9.332015594372e-06, { 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -3.593533768645e-06, -9.332015594372e-06, { 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -3.403050282759e-06, -9.490473712679e-06, { 2, 0, -1, 0, 0, 0, 3, 0, -5, 0, 0, 0, 0 } }, + { 1.227147770450e-05, 5.944760749381e-07, { 4, 0, -2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 1.191045062547e-05, -9.193471528700e-07, { 4, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -3.416092723592e-06, 9.398420638800e-06, { 2, 0, -3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0 } }, + { -1.188274294511e-05, -9.145817681111e-07, { 4, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 3.385605623819e-06, -9.409446028325e-06, { 4, 0, -1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 } }, + { -3.385605623819e-06, 9.409446028325e-06, { 2, 0, 3, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 } }, + { 9.457419485882e-06, 3.249187078035e-06, { 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0 } }, + { -9.458875956054e-06, 3.244944629418e-06, { 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -9.458875956054e-06, 3.244944629418e-06, { 2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 1.049084441636e-05, 2.188068006815e-06, { 1, 0, -1, 0, 0, 18, -15, 0, 0, 0, 0, 0, 0 } }, + { -3.201345154206e-06, -9.473720979828e-06, { 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 } }, + { 9.938127387708e-06, 2.735314664597e-06, { 2, 0, -2, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -9.485279216763e-06, -3.166935139856e-06, { 4, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -3.092674635846e-06, 9.509750974489e-06, { 2, -2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 } }, + { -1.588397280333e-06, -1.089501454355e-05, { 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 } }, + { 1.048444046053e-05, -1.880502171912e-06, { 2, 0, -1, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0 } }, + { 1.087780572908e-05, -1.399720792988e-06, { 0, 0, 0, 0, 0, 0, 1, 0, 4, -10, 0, 0, 0 } }, + { 1.036483621358e-05, -1.911206082864e-06, { 1, -1, -1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -9.667649140712e-06, -2.556669726830e-06, { 3, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.003209256170e-05, 2.047884752150e-06, { 1, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.027296576063e-05, -1.791738096890e-06, { 1, -1, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0 } }, + { 1.047359115180e-05, 1.507687737448e-06, { 0, 2, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.041453161441e-05, 1.498543762148e-06, { 0, 2, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -9.991654655052e-06, -1.816485247590e-06, { 2, 0, -1, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0 } }, + { -9.809870761638e-06, -1.940730697432e-06, { 2, 0, -3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0 } }, + { 9.864493529258e-06, -1.743958450518e-06, { 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -3.436629536627e-07, 1.124732310690e-05, { 2, 0, -1, 0, 0, 0, 11, -17, 0, 0, 0, 0, 0 } }, + { 9.864752632105e-07, -1.054077422746e-05, { 2, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0 } }, + { -1.040765968804e-05, -1.024804607678e-06, { 0, 2, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 1.040699374589e-05, -1.024671382462e-06, { 0, 2, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 9.891711313476e-06, -1.467667295695e-06, { 2, 0, -3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -2.936653342300e-07, -1.104585831185e-05, { 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 } }, + { -1.106078884769e-05, 2.576655496112e-07, { 2, 0, -1, 0, 0, 0, 9, -12, 0, 0, 0, 0, 0 } }, + { -9.992585429831e-06, -7.337382090487e-07, { 0, 0, 0, 0, 0, 0, 7, -10, 0, 0, 0, 0, 0 } }, + { 1.058410954268e-05, -6.383095153003e-08, { 2, 0, -1, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0 } }, + { 9.991626889023e-06, 4.091358094183e-07, { 2, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0 } }, + { 9.991626889023e-06, 4.091358094183e-07, { 0, 0, 2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 6, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 6, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 6, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 6, 0, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 5, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 2, 0, -1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -2, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 0, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 0, 0, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -7.732031912100e-06, 1.438529146850e-06, { 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -1.182831527790e-06, -5.260501813920e-06, { 2, 0, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -4.152242623410e-06, -1.676651644953e-06, { 1, -1, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0 } }, + { 4.263931723950e-06, -7.997513366130e-07, { 1, 1, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.138297099200e-06, 1.240016367047e-06, { 0, 0, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -1.136751472930e-06, 2.672167251110e-07, { 1, 1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 6.345144752200e-07, -1.610755632400e-07, { 1, -1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -3.546616319400e-07, 4.136764233280e-07, { 2, 0, -1, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0 } }, + { 3.143949790900e-07, -1.021700431200e-07, { 1, -1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S1_3 +{ { + { 4.870000000000e-03, 0.000000000000e+00, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.089962898161e-03, -9.113098687827e-04, { 0, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -1.500000000000e-03, 0.000000000000e+00, { 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.200000000000e-03, 0.000000000000e+00, { 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.080000000000e-03, 0.000000000000e+00, { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 8.000000000000e-04, 0.000000000000e+00, { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.428031142083e-04, 7.569379221078e-05, { 0, 0, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 2.100000000000e-04, 0.000000000000e+00, { 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.800000000000e-04, 0.000000000000e+00, { 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.156307458855e-04, -5.043063409084e-05, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -1.084775528560e-04, -4.730961545363e-05, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -1.300000000000e-04, 0.000000000000e+00, { 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.200000000000e-04, 0.000000000000e+00, { 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.100000000000e-04, 0.000000000000e+00, { 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.100000000000e-04, 0.000000000000e+00, { 2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.100000000000e-04, 0.000000000000e+00, { 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.908847172995e-05, -2.168359142010e-06, { 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 2.613668288081e-05, 6.485092371070e-05, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -2.612480750583e-05, 6.483663110662e-05, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -3.130804630903e-05, -4.365084981981e-05, { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -7.000000000000e-05, 0.000000000000e+00, { 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -6.000000000000e-05, 0.000000000000e+00, { 2, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 6.000000000000e-05, 0.000000000000e+00, { 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.632910495323e-05, -2.293093229169e-05, { 0, 0, 0, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { 2.248961081863e-05, 3.399492054428e-05, { 0, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { 2.579400813894e-05, 2.495535549946e-05, { 1, 0, 0, 0, 0, -15, 12, 0, 0, 0, 0, 0, 0 } }, + { 4.000000000000e-05, 0.000000000000e+00, { 2, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.000000000000e-05, 0.000000000000e+00, { 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.449808981145e-05, -1.067994015286e-05, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 2.411409444794e-05, -1.051476435344e-05, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -2.391294811854e-05, -1.042686928656e-05, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -2.303742227503e-05, -1.004306011073e-05, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -3.000000000000e-05, 0.000000000000e+00, { 4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.000000000000e-05, 0.000000000000e+00, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.286392499431e-05, 1.539001587257e-05, { 2, 0, -1, 0, 0, -12, 8, 0, 0, 0, 0, 0, 0 } }, + { 1.781919307049e-05, 4.582184747008e-06, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { -1.780781785864e-05, 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0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { 6.529330760911e-07, -1.113245625137e-06, { 2, 0, -1, 0, 0, 0, 9, -17, 0, 0, 0, 0, 0 } }, + { 7.629453814556e-07, 9.789492952895e-07, { 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { 8.593176234156e-07, -8.578144486616e-07, { 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { -9.641793310754e-07, 7.330308565102e-07, { 2, 0, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 1.602490774939e-06, 7.145294662477e-08, { 2, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 0 } }, + { -6.107081021179e-07, -1.052575714559e-06, { 2, 0, -1, 0, 0, 0, -9, 17, 0, 0, 0, 0, 0 } }, + { 8.079140093623e-08, -1.579346927052e-06, { 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0 } }, + { 1.083849850040e-07, 1.551412261689e-06, { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0 } }, + { 1.147592752159e-06, 4.816576941785e-07, { 0, 0, 0, 0, 0, 0, 0, 0, 1, -5, 0, 0, 0 } }, + { 9.943537092537e-07, -6.265398245426e-07, { 2, 0, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 } }, + { 8.464602612040e-07, 7.728701600520e-07, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 } }, + { -9.758346602430e-07, 6.398152205771e-07, { 2, 0, 0, 0, 0, -46, 50, 0, 0, 0, 0, 0, 0 } }, + { -1.586893316214e-06, 1.318253244553e-08, { 1, 0, 0, 0, 0, -23, 25, 0, 0, 0, 0, 0, 0 } }, + { -7.279125506059e-07, 8.685177105791e-07, { 2, 0, -2, 0, 0, -12, 8, 0, 0, 0, 0, 0, 0 } }, + { 9.091601669135e-07, 6.870048449257e-07, { 2, 0, -1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { -6.725674798734e-07, 9.217247252079e-07, { 1, -1, -1, 0, 0, 18, -15, 0, 0, 0, 0, 0, 0 } }, + { -1.397275407190e-06, 1.859359114132e-07, { 0, 0, 2, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 1.396119278881e-06, 1.855804078736e-07, { 0, 0, 2, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 6.697723713658e-07, -9.052682009717e-07, { 2, 0, -2, 0, 0, 18, -17, 0, 0, 0, 0, 0, 0 } }, + { -9.648335941455e-07, 6.053649169040e-07, { 0, 0, 0, 0, 0, 0, 1, 0, 0, -5, 0, 0, 0 } }, + { 1.167548994387e-06, -3.766651814835e-07, { 0, 0, 0, 0, 0, 0, 12, -24, 7, 5, 0, 0, 0 } }, + { -1.128847849434e-06, -3.698369942679e-07, { 0, 0, 1, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0 } }, + { 1.039118176702e-06, 4.352898217776e-07, { 2, 0, -2, 0, 0, 0, 2, 0, -5, 5, 0, 0, 0 } }, + { 1.488561265994e-07, -1.306108533199e-06, { 0, 0, 1, 0, 0, 0, -1, 0, -2, 5, 0, 0, 0 } }, + { -1.031863972537e-06, 4.222345411623e-07, { 0, 0, 0, 0, 0, 0, 14, -27, 3, 3, 0, 0, 0 } }, + { 5.732303422469e-07, 8.642159916612e-07, { 0, 0, 0, 0, 0, 0, 6, -10, 0, 0, 0, 0, 0 } }, + { -4.744007884704e-07, 9.558591302474e-07, { 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { -4.357015430313e-07, 9.939726500254e-07, { 0, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.110587695435e-06, -3.102251673109e-07, { 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0 } }, + { 2.205889610616e-07, 1.176633262364e-06, { 2, 0, 0, 0, 0, -18, 15, 0, 0, 0, 0, 0, 0 } }, + { -4.521987534761e-07, 9.327881605629e-07, { 2, 0, -1, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 } }, + { 7.289151032158e-08, 1.309327564823e-06, { 2, 0, -1, 0, 0, 0, 7, -10, 0, 0, 0, 0, 0 } }, + { -1.295912846847e-06, -8.059999369597e-08, { 0, 0, 1, 0, 0, 0, -7, 13, 0, 0, 0, 0, 0 } }, + { -4.220890284799e-07, 9.341118340247e-07, { 2, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 1.266057664776e-06, -8.026707534204e-08, { 0, 0, 1, 0, 0, 0, 7, -13, 0, 0, 0, 0, 0 } }, + { -1.814809917418e-07, -1.159100123751e-06, { 0, 0, 1, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 } }, + { -2.246771467142e-07, -1.049627262514e-06, { 0, 0, 0, 0, 0, 5, -6, -4, 0, 0, 0, 0, 0 } }, + { 2.156419322279e-07, 1.044072624190e-06, { 2, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -2.131147680805e-07, 1.041684642379e-06, { 2, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.844708302749e-07, 9.967652878286e-07, { 2, 0, 0, 0, 0, -19, 21, -3, 0, 0, 0, 0, 0 } }, + { -1.137844937680e-06, -3.170720510184e-08, { 2, 0, -1, 0, 0, 0, -7, 13, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S1_4 +{ { + { -5.460000981311e-06, -1.064920535165e-05, { 0, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 5.614435283874e-07, -1.595662150694e-06, { 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S2_1 +{ { + { -8.045039999382e+00, -9.969282987996e-05, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { 1.756754655786e-01, -1.499956686934e+00, { 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 5.640575434610e-01, 2.817713704141e-01, { 0, 1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -5.638351875992e-01, 2.816603588851e-01, { 0, 1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -4.558599999609e-01, 5.967193445936e-06, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -4.157099999699e-01, -5.006300680910e-06, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -3.262199999633e-01, 4.896507253652e-06, { 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -2.985499999764e-01, 3.751689946818e-06, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -9.842740711202e-03, 8.444544009640e-02, { 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -6.231903284083e-02, 3.113103232178e-02, { 0, 1, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 6.038547186366e-02, 3.016569903498e-02, { 0, 1, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 9.369954619914e-03, -7.936170100631e-02, { 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -8.349999999322e-02, -1.063865445531e-06, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -8.042999999051e-02, 1.235316119245e-06, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2 } }, + { -7.332999999437e-02, 9.086934577228e-07, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 2.673726496800e-03, -6.658145357695e-02, { 2, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 } }, + { -9.080797860251e-03, 4.884139756625e-02, { 1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { -5.219418414782e-02, -1.059504951844e-04, { 2, -1, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -5.070032163160e-02, -1.050750380846e-04, { 2, 1, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { 4.331186241076e-03, 4.577620811144e-02, { 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -3.730224968473e-02, 1.086612598756e-02, { 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 } }, + { -4.637999999654e-02, -5.666385949342e-07, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -3.647597345992e-02, 6.909960910215e-03, { 1, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0 } }, + { 8.671159565761e-03, 3.373252311471e-02, { 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 } }, + { 4.214195042382e-02, 3.429780289849e-05, { 2, -1, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { -3.977999999280e-02, 7.567782542776e-07, { 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 6.725429259715e-03, 2.804164282221e-02, { 1, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -6.308975823365e-03, 2.660922207128e-02, { 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.298957909536e-02, -9.768733693728e-03, { 0, 1, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 2.298841483985e-02, -9.768218227460e-03, { 0, 1, -1, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { -3.043541435396e-02, 9.590113711915e-04, { 2, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { -3.094741767080e-02, 4.880308327710e-06, { 2, -1, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.951267669771e-02, 9.747442768524e-03, { 2, -1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 1.948252817825e-02, 9.732374349295e-03, { 2, -1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 6.592415507055e-03, -2.242641944338e-02, { 2, -1, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -6.587403344470e-03, -2.241403907986e-02, { 2, -1, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -2.864326765214e-02, 6.930028402820e-06, { 2, 1, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { -2.403999999841e-02, -2.769209204367e-07, { 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -2.359575015870e-02, -1.683426138740e-05, { 2, -1, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.981531148283e-02, 3.515235694515e-03, { 2, 1, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -2.246646052043e-02, 1.409754372806e-04, { 2, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 1.884750794471e-02, 3.340767943723e-03, { 2, -1, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { 2.195341960828e-02, 1.461009548521e-05, { 2, -1, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -6.680988389785e-03, 1.502519569776e-02, { 1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0 } }, + { 2.005472603623e-02, 5.733346966371e-06, { 2, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { 1.999183640024e-02, -2.988119862093e-06, { 2, -1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -7.163228777925e-03, -1.194061283600e-02, { 1, 0, 0, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 } }, + { -1.259276052832e-02, 6.290548996709e-03, { 2, 1, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 1.220891643077e-02, 6.098902423310e-03, { 2, 1, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.910118106630e-03, -1.638013216514e-02, { 3, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.743999999881e-02, 2.039382324324e-07, { 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -1.158704937727e-02, 5.545242133423e-03, { 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 } }, + { -3.222053396530e-03, -1.351074039193e-02, { 1, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.646999999859e-02, 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-1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { 2.152609078512e-06, 1.396817015723e-05, { 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { -5.791149364019e-06, -9.801048603679e-06, { 2, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { -1.368581117112e-05, -1.890309153346e-06, { 2, -1, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { -1.164459714403e-05, -3.887776533128e-06, { 2, -1, -1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { 1.042743647035e-05, 5.101171475661e-06, { 0, 1, 1, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { -4.887590925887e-06, 1.060777037101e-05, { 0, 1, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.126590355550e-05, 4.217431220680e-06, { 1, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0 } }, + { 1.191894307928e-05, 3.475126051640e-06, { 2, -1, -1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.274270101769e-05, 2.639419929055e-06, { 1, 0, 0, 0, 0, -5, 4, 0, 0, 0, 0, 0, 0 } }, + { -1.012352139247e-05, 5.205740712760e-06, { 0, 1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0 } }, + { 4.831394382094e-06, 1.035144445250e-05, { 2, -1, -2, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.258237298824e-05, -2.573656639370e-06, { 1, 0, 0, 0, 0, 8, -7, 0, 0, 0, 0, 0, 0 } }, + { -1.016369635526e-05, 4.938881465385e-06, { 0, 1, 1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0 } }, + { 5.039366131332e-06, -1.006265159288e-05, { 1, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 } }, + { 6.508764708872e-06, 8.580644445704e-06, { 2, -1, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 1.264448152484e-05, 2.412834401389e-06, { 1, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 0 } }, + { 1.254569003599e-05, -2.324857935804e-06, { 1, 0, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -4.669759820005e-06, -1.014414106810e-05, { 0, 3, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 4.669759820005e-06, -1.014414106810e-05, { 0, 3, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 9.758909696831e-06, 5.033822070243e-06, { 0, 1, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { -8.316584434417e-06, -6.417332453570e-06, { 2, 1, -2, 0, 0, 18, -17, 0, 0, 0, 0, 0, 0 } }, + { 8.542463246530e-06, 6.161050466416e-06, { 2, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0 } }, + { 1.074917427036e-05, 3.775314788393e-06, { 0, 1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 7.388167237984e-06, 7.058486754793e-06, { 0, 1, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { 7.372754103303e-06, 7.017297081101e-06, { 0, 1, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { 1.122569878498e-06, -1.320926413044e-05, { 2, -1, -1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { -1.114326790697e-06, -1.311360237950e-05, { 2, -1, -1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { -1.176099966953e-05, -2.413246191185e-06, { 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 } }, + { 4.661842382545e-06, -9.510208908099e-06, { 2, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { -6.166146745301e-06, 7.909315526730e-06, { 2, -1, -1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { 4.175817027506e-06, -9.889691260465e-06, { 1, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0 } }, + { 4.767008974342e-06, -9.289350697382e-06, { 2, 1, -1, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { -1.318636855123e-06, 1.272204664147e-05, { 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0 } }, + { 1.048461626474e-05, 3.514746171412e-06, { 0, 1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -9.166773331990e-06, 4.454618485164e-06, { 0, 1, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0 } }, + { -9.127052242563e-06, 4.491206204206e-06, { 2, -1, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0 } }, + { -4.595184227577e-06, -8.936441876136e-06, { 2, 1, -1, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { 9.084432859523e-06, 4.391014394272e-06, { 0, 1, -1, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 } }, + { 1.035812524711e-05, 3.062241305190e-06, { 2, 1, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 1.122145199139e-05, -2.174205747525e-06, { 1, 0, -1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 1.014796858017e-05, 3.228792670590e-06, { 1, -1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -9.897862223582e-06, 3.342362559341e-06, { 0, 1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { 3.970261159196e-06, -9.196915289671e-06, { 1, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 } }, + { -9.207224781929e-06, 3.952185295419e-06, { 1, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -1.060802466697e-05, 2.212407544695e-06, { 2, 1, 0, 0, 0, -18, 15, 0, 0, 0, 0, 0, 0 } }, + { -9.668059583083e-06, 3.068808229023e-06, { 0, 1, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { -1.068339278192e-05, 1.937888950358e-06, { 1, 0, 0, 0, 0, 0, 1, 0, -4, 5, 0, 0, 0 } }, + { -1.040278286808e-05, 1.926937269873e-06, { 1, 0, -1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { 1.079251429314e-05, -1.503154735125e-06, { 1, 0, 0, 0, 0, 9, -10, 0, 0, 0, 0, 0, 0 } }, + { -1.141246185612e-05, -8.568128227385e-07, { 2, -1, -2, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0 } }, + { -9.667649140712e-06, -2.556669726830e-06, { 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -3.901138071173e-07, 1.172265242608e-05, { 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.072236234458e-06, -1.000337636082e-05, { 2, -1, 0, 0, 0, 0, -5, 8, -3, 0, 0, 0, 0 } }, + { -1.104785043150e-05, -8.283446617485e-07, { 2, 1, -2, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0 } }, + { 1.055576059371e-05, 1.300284529137e-06, { 1, 0, 0, 0, 0, 0, 1, 0, -2, 3, 0, 0, 0 } }, + { 1.019535506411e-05, 4.618205914507e-07, { 2, -1, -2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 9.995616704621e-06, 2.960518439259e-07, { 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { 1.011001727832e-05, -9.613518068427e-08, { 2, 1, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.010726803313e-05, -9.553687127861e-08, { 2, 1, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 6, 1, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, 1, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 4, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 4, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 4, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, -1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, -1, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, -1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 4, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 3, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 2, -1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -1, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 1, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 1, -1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 0, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.000000000000e-05, 0.000000000000e+00, { 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -5.534019182140e-06, -2.251566953436e-06, { 1, 0, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0 } }, + { -5.005659680700e-06, 9.505650171890e-07, { 1, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 4.679111751830e-06, -8.837022513580e-07, { 1, 0, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S2_3 +{ { + { -2.200000000000e-04, 0.000000000000e+00, { 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.246507995485e-05, -4.031873652025e-05, { 0, 1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 9.242860002116e-05, -4.030282025139e-05, { 0, 1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 9.000000000000e-05, 0.000000000000e+00, { 2, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -6.000000000000e-05, 0.000000000000e+00, { 2, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -6.000000000000e-05, 0.000000000000e+00, { 2, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -5.000000000000e-05, 0.000000000000e+00, { 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -5.000000000000e-05, 0.000000000000e+00, { 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.000000000000e-05, 0.000000000000e+00, { 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 4.000000000000e-05, 0.000000000000e+00, { 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.000000000000e-05, 0.000000000000e+00, { 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 4.000000000000e-05, 0.000000000000e+00, { 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.000000000000e-05, 0.000000000000e+00, { 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.000000000000e-05, 0.000000000000e+00, { 2, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.021677746328e-05, -4.455428450976e-06, { 0, 1, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -9.899690948714e-06, -4.317082963701e-06, { 0, 1, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.073699331578e-05, 3.347266218074e-06, { 0, 1, 1, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { -1.073699331578e-05, 3.347266218074e-06, { 0, 1, -1, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.000000000000e-05, 0.000000000000e+00, { 2, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.199322855032e-06, -1.395032240684e-06, { 2, -1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -3.192984955151e-06, -1.392267002143e-06, { 2, -1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -1.188032338450e-06, 3.010346038888e-06, { 0, 1, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 1.187736863286e-06, 3.009884125589e-06, { 0, 1, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 1.131481129355e-06, 2.744944925707e-06, { 0, 1, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.131035906816e-06, 2.744337522347e-06, { 0, 1, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.244483686107e-06, 2.516286466715e-06, { 2, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 } }, + { 6.307065591441e-07, -2.706138448899e-06, { 0, 1, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -6.305754190879e-07, -2.705904144798e-06, { 0, 1, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 2.064358060351e-06, -9.000674002296e-07, { 2, 1, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -2.001407220255e-06, -8.726018214433e-07, { 2, 1, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.782929256854e-06, -7.774334929050e-07, { 2, 1, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -1.767752568193e-06, -7.708118729631e-07, { 2, 1, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 9.506716595573e-07, -1.578894713271e-06, { 1, 0, 0, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 } }, + { 1.149161009082e-06, 1.111616457565e-06, { 1, 1, 0, 0, 0, -15, 12, 0, 0, 0, 0, 0, 0 } }, + { 1.149161009082e-06, 1.111616457565e-06, { 1, -1, 0, 0, 0, -15, 12, 0, 0, 0, 0, 0, 0 } }, + { -1.162391683974e-06, -9.814778760499e-07, { 1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 } }, + { 1.209464739376e-06, 8.153103487166e-07, { 0, 1, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { -1.209464739376e-06, 8.153103487166e-07, { 0, 1, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 1.202966027219e-06, -5.706268386958e-07, { 1, 0, 0, 0, 0, 8, -12, 0, 0, 0, 0, 0, 0 } }, + { 6.175565893256e-09, 1.674387247691e-06, { 2, -1, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 2.196441912759e-09, 1.677437534503e-06, { 2, -1, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 8.596746262128e-07, -8.130196576743e-07, { 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 } }, + { -6.270881955755e-07, 9.673753400625e-07, { 2, -1, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 6.264117003668e-07, 9.601491866275e-07, { 2, -1, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -1.190815851097e-06, 3.713886065489e-07, { 0, 1, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { 1.186323727555e-06, 3.699132037352e-07, { 0, 1, 2, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { -9.496961289165e-07, -5.742348136199e-07, { 2, -1, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { 9.249678371892e-07, -5.622393383588e-07, { 2, -1, 0, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { 9.424333738184e-07, -4.109996907238e-07, { 0, 1, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 2.638014694755e-07, -1.073083049958e-06, { 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 } }, + { 1.034638453307e-06, 1.399356091698e-07, { 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 } }, + { 1.351587347086e-07, 3.310447607780e-07, { 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S3_1 +{ { + { -2.189679448352e-03, 1.058616729945e+00, { 2, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { 3.253561194684e-01, 6.513087890330e-01, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 3.051470167778e-01, -6.108298914226e-01, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.392796207754e-04, 5.982646497432e-01, { 2, 0, -1, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 } }, + { 7.166007612272e-02, -4.038985639423e-01, { 2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { -1.003829958930e-05, -4.564699998896e-01, { 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 1.011497888456e-05, 4.527699998870e-01, { 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { 9.150630918737e-02, 1.831799315623e-01, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 9.103726330313e-02, -1.822403894756e-01, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 6.458216723136e-03, 2.048856424696e-01, { 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { -1.618515216166e-01, -4.198186759934e-02, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.618343680779e-01, 4.197584488092e-02, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 6.021742030089e-02, 1.205480308530e-01, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 5.662743968031e-02, -1.133577781689e-01, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 1.060656368992e-03, 1.665893222725e-01, { 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 4.795193234871e-03, 1.574058972693e-01, { 2, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { -5.251012541330e-05, 1.445128867332e-01, { 0, 0, 1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { -1.073811010489e-01, -3.158080010398e-02, { 2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.072704591758e-01, 3.154106491235e-02, { 2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -2.931475710987e-05, -1.382805205455e-01, { 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.057159895584e-01, -3.208238507675e-02, { 2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -1.056300032410e-01, 3.205321523362e-02, { 2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 2.747666539317e-03, 1.267892355512e-01, { 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 } }, + { 3.485001184455e-05, -1.235353685222e-01, { 2, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.609063818430e-06, -1.205865709792e-01, { 2, 0, -1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -3.258969974438e-05, 1.202805622129e-01, { 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { 6.325280495072e-04, 1.161301787990e-01, { 2, 0, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 2.033846001038e-03, -1.052286363209e-01, { 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { 1.716335842401e-06, -1.068899999862e-01, { 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { -1.724613450082e-03, -1.050925606149e-01, { 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { 2.966294084087e-05, -1.006948638407e-01, { 2, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.251574349972e-04, 9.941460323933e-02, { 0, 0, 1, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.600620512989e-06, 9.552999998659e-02, { 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -1.362642728919e-02, -7.601373637273e-02, { 0, 0, 1, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 } }, + { 8.909556765714e-07, -8.507999999533e-02, { 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { 1.566053621681e-02, 6.896889716592e-02, { 2, 0, -1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { -4.282924765015e-02, -4.060396295222e-02, { 0, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { -4.262861360766e-02, 4.014177881006e-02, { 0, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { -1.708581177621e-05, 7.952756682194e-02, { 2, 0, -1, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.725993267663e-02, 6.067807950810e-02, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { -1.725604356747e-02, -6.066013358734e-02, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { -7.714792553719e-04, 6.203905745211e-02, { 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { -9.130423804896e-04, -6.084903754891e-02, { 2, 0, -1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { 5.653054692488e-02, 5.101567835693e-03, { 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 1.241431425424e-04, -6.104165413626e-02, { 2, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -5.590456848361e-02, -5.025577459648e-03, { 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -6.013063297202e-02, -3.193383048488e-04, { 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -3.493559763333e-02, 2.543361810956e-02, { 2, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { -1.419572664478e-03, 5.731004185642e-02, { 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 } }, + { -5.534334336628e-02, -1.229853121519e-03, { 0, 0, 1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { -5.260022463532e-02, 1.313583003920e-03, { 2, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.870876506762e-02, 3.479788304735e-02, { 2, 0, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 } }, + { 4.011377486231e-07, -5.344999999849e-02, { 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 } }, + { 1.773820703006e-02, 3.550893232392e-02, { 0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -5.174615080111e-02, 1.296931056390e-03, { 0, 0, 1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -2.897811520879e-02, -2.137149106169e-02, { 0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { -2.893972953662e-02, 2.135014536637e-02, { 0, 0, 1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -4.883714895257e-02, 1.331893632560e-03, { 2, 0, -1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.664086234012e-02, -3.331095813368e-02, { 0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -3.439219047101e-02, -1.510507968792e-02, { 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { -3.374402064067e-02, 1.570166393986e-02, { 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { 3.382175758947e-04, 4.902924543977e-02, { 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 } }, + { 1.305944507700e-04, -4.890297284251e-02, { 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { 5.360060007968e-05, -4.857995062988e-02, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.777065858683e-02, 2.016830935427e-02, { 2, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { -1.510518642784e-04, 4.607959449719e-02, { 2, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { -4.560754481061e-02, 4.495663629594e-04, { 2, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { -2.871075381656e-02, 1.725582025498e-02, { 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { -2.835284795660e-03, -4.273927963999e-02, { 2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { -8.604906283969e-04, 4.396412668220e-02, { 2, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 } }, + { -3.482225569642e-03, 4.105036140257e-02, { 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { 4.312961992299e-04, -4.369279149815e-02, { 2, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { -2.002365873390e-02, -2.405286123612e-02, { 2, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 9.204935497001e-04, -4.288716148049e-02, { 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { -1.050915568197e-04, 4.349192098645e-02, { 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { -2.644702983040e-02, -1.654227247498e-02, { 2, 0, -1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { -8.470360047933e-03, -3.441468012770e-02, { 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 } }, + { -2.625964801081e-02, 1.643369888902e-02, { 2, 0, -1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -8.314170899040e-06, -4.256657282689e-02, { 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -2.577778935966e-02, -1.633023802700e-02, { 2, 0, -1, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0 } }, + { -2.528580201381e-02, -1.626880830261e-02, { 2, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { -2.502184556290e-02, 1.612300183245e-02, { 2, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -1.913995382171e-02, 2.140182999610e-02, { 2, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { -1.754117901675e-02, -2.243006423850e-02, { 2, 0, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 2.889877970490e-04, -3.886073072885e-02, { 2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 } }, + { 1.884397086810e-07, 3.855999999954e-02, { 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 } }, + { -1.139418141433e-02, 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5.062313869712e-06, { 1, 0, 1, 0, 0, -10, 10, 0, 0, 0, 0, 0, 0 } }, + { -9.775758484242e-10, 5.062356233335e-06, { 4, 0, 2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { -1.097641135717e-08, -5.041501462174e-06, { 2, 0, 2, 0, 0, -9, 9, 0, 0, 0, 0, 0, 0 } }, + { -3.197993640920e-09, 5.029407998261e-06, { 4, 0, -5, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 } }, + { 1.640738269527e-08, -5.013833671559e-06, { 4, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0 } }, + { 2.073406169340e-06, 2.950424474808e-06, { 4, 0, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0 } }, + { 1.510118619988e-08, 5.008683835535e-06, { 2, -2, -1, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0 } }, + { -1.679138426494e-07, 4.712798356980e-06, { 2, 0, -2, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0 } }, + { -5.378380789715e-08, -4.789416902640e-06, { 1, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -3.913435806479e-06, 9.152700327000e-07, { 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 } }, + { 1.584515156110e-06, 3.039924058770e-06, { 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 } }, + { -2.163675937160e-06, 2.449554462234e-06, { 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 0 } }, + { -6.538848895120e-08, -4.543465539022e-06, { 4, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0 } }, + { 4.385229909716e-06, -2.186862392253e-07, { 0, 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0 } }, + { 8.648667982666e-08, 4.456870567358e-06, { 1, 0, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 } }, + { 3.656905994280e-06, 8.771148526020e-07, { 1, 1, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0 } }, + { -2.458180200265e-07, -4.248220854100e-06, { 2, 0, 1, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { -4.367867706943e-06, -1.084485852365e-07, { 4, 0, -3, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { -7.937751341500e-07, -3.679917864640e-06, { 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 } }, + { 3.732185349590e-06, -6.929432485900e-07, { 1, -1, 2, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -4.927580353560e-07, 3.909702375907e-06, { 3, 1, -1, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0 } }, + { 3.307235363290e-07, 4.071426711780e-06, { 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.925803646767e-06, -2.393948402171e-06, { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0 } }, + { -1.631527930386e-07, -4.002562547160e-06, { 4, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0 } }, + { 1.862403354876e-06, -2.281726998277e-06, { 2, -2, -1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 } }, + { 3.651630696248e-06, -4.052727066760e-07, { 4, 0, 1, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 3.281171024920e-06, -7.217883282680e-07, { 3, -1, -2, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -4.800160263026e-07, -3.513101992700e-06, { 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0 } }, + { 1.516546686700e-06, 2.444765525070e-06, { 2, 0, -1, 0, 0, 7, -11, 0, 0, 0, 0, 0, 0 } }, + { 1.023434509060e-06, 2.907922533010e-06, { 0, 0, 1, 0, 0, 6, -10, 0, 0, 0, 0, 0, 0 } }, + { -2.637481091702e-06, 1.264336256672e-06, { 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 } }, + { -3.217221428400e-06, 6.447957132800e-07, { 1, -1, -2, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -3.112414944054e-06, -7.226287183554e-07, { 1, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 0 } }, + { 3.414353140011e-06, -3.780179082900e-07, { 6, 0, -1, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -1.914326017220e-06, -1.739107428061e-06, { 2, 0, 1, 0, 0, -6, 5, 0, 0, 0, 0, 0, 0 } }, + { 2.721779563143e-06, -8.360480611590e-07, { 2, 0, -1, 0, 0, 0, -3, 7, 0, 0, 0, 0, 0 } }, + { -1.634160939292e-08, -3.527016081098e-06, { 4, 0, -2, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0 } }, + { 3.085797477157e-06, 4.291911659450e-07, { 2, 0, 1, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -3.617223204110e-07, 3.126093209661e-06, { 4, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.944201018550e-07, -3.088048876419e-06, { 3, 1, -3, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0 } }, + { -3.463192156978e-06, 1.366166837087e-08, { 2, 0, 1, 0, 0, -10, 11, 0, 0, 0, 0, 0, 0 } }, + { -2.065417027092e-06, 1.389698024447e-06, { 1, -1, 1, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0 } }, + { 2.065417027092e-06, -1.389698024447e-06, { 1, -1, -1, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0 } }, + { -2.396481461508e-06, -1.017782993742e-06, { 1, 1, -1, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0 } }, + { 2.132820028235e-07, -3.164717941028e-06, { 2, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.093930650510e-06, -1.281509224047e-06, { 1, 1, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 } }, + { -3.242573964606e-06, -1.198108848600e-07, { 2, 0, 0, 0, 0, -9, 12, 0, 0, 0, 0, 0, 0 } }, + { 2.048836996711e-07, -3.153642485539e-06, { 3, 0, -1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 } }, + { -3.085737188920e-09, 3.346032389641e-06, { 2, -2, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { 2.915598618822e-06, -4.185715169150e-07, { 2, -2, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.974853886442e-06, -3.376352731660e-07, { 6, 0, -3, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 2.964748516922e-06, 3.097867017790e-07, { 0, 0, 3, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { 3.910844874195e-08, -3.117135345394e-06, { 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -4.793882635000e-09, -3.146890467594e-06, { 0, 0, 0, 0, 0, 0, 2, 0, -1, -2, 0, 0, 0 } }, + { 1.414545521544e-06, -1.707585118290e-06, { 0, 0, 0, 0, 0, 0, 3, 0, 0, -5, 0, 0, 0 } }, + { 2.148589186665e-06, 9.700709684590e-07, { 3, -1, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0 } }, + { -4.419513452660e-07, 2.669027627943e-06, { 0, 0, 2, 0, 3, 0, -2, 0, 0, 0, 0, 0, 0 } }, + { -2.329363656612e-06, 6.330770069100e-07, { 0, 0, 1, 0, 0, 0, -3, 0, 6, -5, 0, 0, 0 } }, + { -6.084850138510e-07, -2.298690180075e-06, { 1, -1, 1, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0 } }, + { -2.638635116463e-06, 2.170140664640e-07, { 0, 0, 2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0 } }, + { 1.933282597711e-06, -8.491402093940e-07, { 1, 1, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0 } }, + { 1.303073448066e-06, 1.473209033300e-06, { 4, 0, -1, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 } }, + { -1.616276488739e-06, -1.145395551621e-06, { 2, 0, 1, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 } }, + { 1.826157494488e-06, 9.001463834840e-07, { 0, 0, 1, 0, 0, 0, -3, 0, 2, 5, 0, 0, 0 } }, + { 7.467005403445e-08, -2.612771048630e-06, { 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 } }, + { -6.816456676400e-07, 1.969489193610e-06, { 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0 } }, + { -2.293521975290e-06, 3.007140372820e-07, { 2, 0, -1, 0, 0, -8, 9, 0, 0, 0, 0, 0, 0 } }, + { -9.691922597800e-07, -1.451922293827e-06, { 2, -2, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 2.364842945582e-06, -4.368383238500e-08, { 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 0 } }, + { 8.560858416899e-07, 1.532419913992e-06, { 4, 0, -2, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 } }, + { 1.949534190020e-06, -3.881277974439e-07, { 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0 } }, + { 2.309435787838e-06, -2.442115211960e-08, { 1, 0, 1, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0 } }, + { -8.933525602190e-08, -2.075414955050e-06, { 2, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { -2.042203797187e-06, -7.503141238735e-08, { 2, 0, 1, 0, 0, -9, 10, 0, 0, 0, 0, 0, 0 } }, + { -1.323886473963e-08, -1.959156834661e-06, { 2, 0, 2, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0 } }, + { 1.118798651887e-06, -8.269615099640e-07, { 2, 0, 1, 0, 0, -7, 6, 0, 0, 0, 0, 0, 0 } }, + { 6.763156367070e-08, -1.876345983641e-06, { 0, 0, 1, 0, 0, -1, 2, 0, -1, 0, 0, 0, 0 } }, + { -1.923743903727e-06, 3.858187128000e-09, { 0, 0, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0 } }, + { 8.671373045040e-07, 1.047852304376e-06, { 2, 0, 0, 0, 0, -10, 13, 0, 0, 0, 0, 0, 0 } }, + { 2.084638148380e-07, -1.700594354938e-06, { 0, 0, 0, 0, 0, 6, -10, 0, 0, 0, 0, 0, 0 } }, + { 1.120236795972e-06, 7.880643109530e-07, { 4, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 } }, + { 4.563453196042e-09, 1.895538129614e-06, { 0, 0, 2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { 1.467227968657e-06, -4.257137882645e-07, { 1, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 } }, + { 6.197526760560e-08, 1.770306371880e-06, { 0, 0, 1, 0, 0, 1, -2, 0, 1, 0, 0, 0, 0 } }, + { -1.409993662817e-06, -3.317395043614e-07, { 2, 0, 1, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0 } }, + { -9.167506725687e-08, -1.630151142290e-06, { 4, 0, -2, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { 1.117000599945e-07, 1.605336414778e-06, { 3, 0, -1, 0, 0, -5, 5, 0, 0, 0, 0, 0, 0 } }, + { -1.256038686100e-06, 3.322699856450e-07, { 3, -1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -2.127092341300e-07, -1.261321432335e-06, { 2, -2, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 } }, + { -7.897202051145e-07, -6.618772314200e-07, { 2, -2, 1, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 } }, + { -3.722642990800e-08, 1.291913400500e-06, { 0, 2, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { 1.667940766000e-09, -1.210773933753e-06, { 2, 0, -3, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 } }, + { -1.139417683500e-08, -1.166168785510e-06, { 1, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0 } }, + { -4.436345716435e-09, 1.133369736870e-06, { 2, 2, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { 9.334175100200e-07, -1.700132915555e-07, { 2, 0, 1, 0, 0, -8, 9, 0, 0, 0, 0, 0, 0 } }, + { -9.118662062670e-07, 7.139436323750e-08, { 0, 0, 3, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -1.430025478699e-07, 8.203345382680e-07, { 2, 0, -2, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 1.039123546729e-07, 6.779291469340e-07, { 4, 0, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 } }, + { 5.085214327900e-09, 7.507012734250e-07, { 1, 0, -3, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 } }, + { -2.491543432253e-07, 5.038994447360e-07, { 1, 0, -1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 } }, + { -6.389977293454e-08, 6.485482714170e-07, { 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0 } }, + { 2.227599824105e-08, 6.827684419580e-07, { 6, 0, -3, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 } }, + { 1.337736392233e-08, -6.780918522260e-07, { 2, 0, 2, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { 2.874222910270e-07, -3.480952430940e-07, { 4, 0, -1, 0, 0, -6, 5, 0, 0, 0, 0, 0, 0 } }, + { -5.322000833000e-07, 9.253508073800e-08, { 1, 1, -3, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.802886860099e-07, -2.860523511200e-07, { 4, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { 2.941716035790e-07, -1.251558794591e-07, { 1, 1, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0 } }, + { 1.574529198700e-08, 3.824357718100e-07, { 0, 2, -1, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 } }, + { -3.205720077000e-07, 5.682662970000e-08, { 3, 1, -2, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -4.429217708000e-08, 3.308194465790e-07, { 3, -1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0 } }, + { -2.863352096483e-07, -3.823167255000e-08, { 4, 0, -1, 0, 0, -6, 6, 0, 0, 0, 0, 0, 0 } }, + { -1.926251287720e-07, 1.022501375220e-07, { 1, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0 } }, + { 1.078232533136e-07, -1.668489192580e-07, { 2, -2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 } }, + { -2.004185253870e-07, 3.970392157500e-08, { 1, -1, -3, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.667064567460e-07, -1.356754189500e-08, { 1, -1, 3, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.074216878560e-07, -2.360789787800e-08, { 3, -1, -1, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0 } }, + { 9.239956849000e-08, 4.074291489000e-09, { 3, 1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S3_2 +{ { + { 0.000000000000e+00, 5.139500000000e-01, { 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.824500000000e-01, { 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.265400000000e-01, { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.639600000000e-01, { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.230200000000e-01, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -7.754000000000e-02, { 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -6.068000000000e-02, { 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.970000000000e-02, { 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.194000000000e-02, { 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.222000000000e-02, { 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.529000000000e-02, { 2, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 2.490000000000e-02, { 2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.764000000000e-02, { 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.141767049843e-02, -5.253727461691e-03, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 1.070508432118e-02, 4.925840569388e-03, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.449000000000e-02, { 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 4.299601282617e-04, -1.368414439540e-02, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.186000000000e-02, { 2, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.066000000000e-02, { 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 9.930000000000e-03, { 4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -6.580000000000e-03, { 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.995225392553e-05, -6.475331461477e-03, { 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -5.870000000000e-03, { 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 6.339644201502e-04, -5.189361246154e-03, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 6.339110880064e-04, 5.188959684905e-03, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -5.360000000000e-03, { 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.760000000000e-03, { 4, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.210729340182e-03, -1.477450193267e-03, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 3.194181627185e-03, 1.469843688501e-03, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.940000000000e-03, { 4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.310000000000e-03, { 2, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.100000000000e-03, { 2, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.113089822280e-03, -9.724004705988e-04, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 1.927312643566e-03, -1.073768008444e-03, { 2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { 1.986552701046e-03, 9.141736390433e-04, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 2.350000000000e-03, { 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.350000000000e-03, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 2.330000000000e-03, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.140000000000e-03, { 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 2.130000000000e-03, { 2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.433863479261e-03, 3.973316826359e-04, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 1.433219853327e-03, -3.973297789865e-04, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 0.000000000000e+00, -1.730000000000e-03, { 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.650000000000e-03, { 2, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.460000000000e-03, { 4, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.400000000000e-03, { 4, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -9.716351843714e-05, -1.266217782677e-03, { 2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -9.703847430710e-05, 1.265118904126e-03, { 2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.260000000000e-03, { 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.250000000000e-03, { 2, 0, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.140000000000e-03, { 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.120000000000e-03, { 2, 0, -1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 8.405364157476e-04, -2.546143882041e-04, { 0, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { 8.341226838982e-04, 2.530698996829e-04, { 0, 0, 2, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.060000000000e-03, { 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 6.242643817137e-04, -2.873792387340e-04, { 0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -2.334109226803e-04, -6.671933400341e-04, { 2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { -2.338783092327e-04, 6.644489516341e-04, { 2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -8.900000000000e-04, { 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.855467267484e-04, 2.695659075566e-04, { 0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -8.400000000000e-04, { 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -8.400000000000e-04, { 0, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -8.100000000000e-04, { 2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.810747425476e-04, 5.643810864842e-04, { 0, 0, 1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -7.400000000000e-04, { 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.840932171688e-04, -5.489842663045e-04, { 1, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.691145589459e-04, -5.304885882148e-04, { 0, 0, 1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 6.900000000000e-04, { 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.514944119513e-04, -1.037842031563e-04, { 0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 5.508943310845e-04, 1.037334837693e-04, { 0, 0, 1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { 2.314482924176e-04, -4.227197478745e-04, { 2, 0, -1, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 6.400000000000e-04, { 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -6.400000000000e-04, { 3, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 6.200000000000e-04, { 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -6.100000000000e-04, { 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -6.000000000000e-04, { 4, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.411496073971e-04, 4.434483121178e-04, { 2, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { -6.171580327605e-05, 5.222946142280e-04, { 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { 6.171580327605e-05, -5.222946142280e-04, { 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 } }, + { -3.631023046598e-04, -2.016114989836e-04, { 0, 0, 1, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 } }, + { 4.347730579526e-04, 1.160706167752e-04, { 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 5.500000000000e-04, { 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 5.400000000000e-04, { 4, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.302244316586e-04, 4.088418149013e-04, { 2, 0, -1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 5.300000000000e-04, { 3, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -5.300000000000e-04, { 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -5.300000000000e-04, { 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.896962029731e-05, -4.968380311406e-04, { 2, 0, -1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 3.022603795015e-04, -2.211844631445e-04, { 0, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 } }, + { 2.989293540011e-04, 2.192530029002e-04, { 0, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0 } }, + { 1.376166159088e-04, 3.724783893311e-04, { 2, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 5.100000000000e-04, { 4, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.700000000000e-04, { 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 2.296961805230e-04, 2.380606537859e-04, { 2, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -4.300000000000e-04, { 2, 0, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -2.602999382695e-04, 1.595857148080e-04, { 2, 0, -1, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 } }, + { 3.945309826553e-04, -1.865412310786e-05, { 2, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 3.906866134421e-04, 1.870665969413e-05, { 2, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { 2.795296919220e-04, -1.286796464928e-04, { 2, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { 3.967134460943e-04, -5.537382527109e-06, { 2, 0, -1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.000000000000e-04, { 3, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 4.000000000000e-04, { 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.936156579041e-04, 5.307413126319e-06, { 2, 0, -1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { 2.724695125563e-04, 1.254156301681e-04, { 2, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { -1.806081953435e-04, -2.139642020871e-04, { 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0 } }, + { 1.010673497308e-04, 2.920054015516e-04, { 0, 0, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -3.900000000000e-04, { 2, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.042983307895e-04, 2.841735624480e-04, { 2, 0, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -3.800000000000e-04, { 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1.804384125294e-04, 1.870713231163e-04, { 2, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 } }, + { -2.253925475785e-04, -1.306713900524e-04, { 0, 0, 1, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { -2.241963222421e-04, 1.301196371843e-04, { 0, 0, 1, 0, 0, 0, 8, -15, 0, 0, 0, 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0, 0, 0, 0, 0 } }, + { 1.133563854126e-06, 5.669570911828e-06, { 1, -1, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 } }, + { -4.940776353662e-06, 1.815104181948e-06, { 2, 0, -2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0 } }, + { -2.484733949529e-07, -6.462329130875e-06, { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 } }, + { 4.530263316925e-06, -2.178859863541e-06, { 2, 0, 0, 0, 0, -6, 4, 0, 0, 0, 0, 0, 0 } }, + { 5.151081280662e-06, 1.534381953902e-06, { 2, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0 } }, + { 1.248554987885e-06, 5.427493865018e-06, { 2, 0, -1, 0, 0, 5, -4, 0, 0, 0, 0, 0, 0 } }, + { 1.026149573413e-09, 6.652075447353e-06, { 2, 0, -1, 0, 0, 0, 10, -13, 0, 0, 0, 0, 0 } }, + { -2.338656944353e-07, 6.337366178098e-06, { 2, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 } }, + { 4.090789001078e-07, 6.138401723159e-06, { 2, 0, -2, 0, 0, 10, -4, 0, 0, 0, 0, 0, 0 } }, + { -6.312644055243e-06, -1.821576784175e-07, { 2, 0, -1, 0, 0, 0, 10, -16, 0, 0, 0, 0, 0 } }, + { 1.558180769391e-06, 4.873967358384e-06, { 4, 0, -2, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0 } }, + { -4.896196348078e-06, 1.513221589644e-06, { 2, 0, -1, 0, 0, -8, 14, 0, 0, 0, 0, 0, 0 } }, + { -1.020176434412e-06, 5.358517031029e-06, { 1, -1, 0, 0, 0, 21, -20, 0, 0, 0, 0, 0, 0 } }, + { -6.227423182874e-06, 1.081936326189e-07, { 2, 0, -1, 0, 0, 0, 9, -19, 0, 3, 0, 0, 0 } }, + { 5.253562621553e-06, -1.050482700831e-06, { 0, 0, 3, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 5.250127125787e-06, 1.050332153810e-06, { 0, 0, 3, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 1.471791953877e-06, 4.822120770361e-06, { 2, 0, -2, 0, 0, -3, 5, 0, 0, 0, 0, 0, 0 } }, + { 2.754588728700e-07, 6.015519058456e-06, { 2, 0, 0, 0, 0, 8, -12, 0, 0, 0, 0, 0, 0 } }, + { 4.941948171560e-06, -1.334371758881e-06, { 0, 0, 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0 } }, + { 1.038349964879e-06, -5.090969437561e-06, { 1, -1, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0 } }, + { -9.785577002545e-07, -5.144050880815e-06, { 1, -1, -1, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 } }, + { 5.650614941815e-06, -4.554901409016e-07, { 2, 0, -1, 0, 0, 0, -8, 16, -6, 0, 0, 0, 0 } }, + { -4.389638834546e-07, 5.635263620174e-06, { 2, 0, 0, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0 } }, + { 9.933713900562e-08, 5.966124735348e-06, { 2, 0, -2, 0, 0, 0, 7, -10, 0, 0, 0, 0, 0 } }, + { -8.850726491214e-07, -5.142884998535e-06, { 2, 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0 } }, + { 5.543627633351e-06, 4.304095394211e-07, { 2, 0, -1, 0, 0, 0, 8, -16, 6, 0, 0, 0, 0 } }, + { -2.559585598224e-07, 5.550148221670e-06, { 2, 0, -1, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0 } }, + { 3.574535194741e-07, 5.359511253622e-06, { 0, 0, 0, 0, 0, 10, -4, 0, 0, 0, 0, 0, 0 } }, + { 2.540060773806e-07, -5.433571299283e-06, { 4, 0, -3, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { -2.881529898025e-07, 5.284038825839e-06, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0 } }, + { -2.813149088859e-07, -5.269631806746e-06, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0 } }, + { -1.213719001716e-07, 5.422976987647e-06, { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0 } }, + { 3.922744489916e-07, -5.024877247532e-06, { 2, 0, -2, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0 } }, + { 1.697136893419e-06, -3.649990040750e-06, { 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { 2.324497454268e-07, -5.001010051823e-06, { 4, 0, -1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { -1.286348343737e-06, 1.225229759367e-06, { 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 } }, + { 1.248926341296e-06, -1.241860428930e-06, { 0, 0, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 } }, + { -1.092433429673e-06, -9.841280800490e-07, { 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 } }, + { 1.750237733580e-07, 6.788251998500e-07, { 1, 1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { -1.386481229070e-07, -5.317427046700e-07, { 1, -1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } }, + { 4.074825327720e-07, 1.766696033600e-07, { 2, 0, -1, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0 } }, + { 8.614585948400e-08, 2.494502697000e-07, { 1, -1, -1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S3_3 +{ { + { 0.000000000000e+00, 1.490000000000e-03, { 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.110000000000e-03, { 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 9.500000000000e-04, { 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -7.700000000000e-04, { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -3.600000000000e-04, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.300000000000e-04, { 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -1.800000000000e-04, { 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -4.657348443684e-05, -1.067868088331e-04, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -4.367735031233e-05, 1.001488975196e-04, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.400000000000e-04, { 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 1.200000000000e-04, { 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 9.000000000000e-05, { 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 5.988537018087e-05, -2.413266278796e-05, { 0, 0, 1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 5.987610191651e-05, 2.412424235975e-05, { 0, 0, 1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 7.000000000000e-05, { 2, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -7.000000000000e-05, { 2, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 5.000000000000e-05, { 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -1.309383743933e-05, -3.002885516495e-05, { 2, 0, 1, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -1.302599933607e-05, 2.987337089078e-05, { 2, 0, -1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -4.000000000000e-05, { 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -4.000000000000e-05, { 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.000000000000e-05, { 4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -3.000000000000e-05, { 2, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 0.000000000000e+00, 3.000000000000e-05, { 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { -8.613761718971e-06, -1.975871309159e-05, { 2, 0, 0, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -8.099535709070e-06, 1.857924199801e-05, { 2, 0, -2, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 4.230135011835e-06, -1.645693246541e-05, { 0, 0, 1, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0 } }, + { 4.231650801562e-06, 1.644503667462e-05, { 0, 0, 1, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 } }, + { 1.051315425167e-05, 9.978170011858e-06, { 2, 0, -1, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 } }, + { 0.000000000000e+00, -2.000000000000e-05, { 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 3.895416280262e-06, 1.248527849102e-05, { 0, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0 } }, + { 3.864896780187e-06, -1.239235650152e-05, { 0, 0, 2, 0, 0, -10, 3, 0, 0, 0, 0, 0, 0 } }, + { 6.437355097186e-07, -1.026914616421e-05, { 2, 0, -1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 5.856366789594e-06, 4.792956826575e-06, { 0, 0, 1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 5.848578957290e-06, -4.791388199116e-06, { 0, 0, 1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -4.005107674976e-06, 6.154250280016e-06, { 0, 0, 1, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { -3.986630334190e-06, -6.121351715988e-06, { 0, 0, 1, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { -2.538937367635e-06, -5.821446275990e-06, { 0, 0, 3, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -2.381920127449e-06, 5.461564284920e-06, { 0, 0, 1, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } }, + { 4.752552160431e-06, 2.889960271381e-06, { 2, 0, -1, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 4.631048781534e-06, 2.986479801351e-06, { 2, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 0 } }, + { 7.481175067432e-06, -1.280850418869e-07, { 2, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 4.712189320166e-06, -2.885143996577e-06, { 2, 0, -1, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { 7.498054982789e-06, 9.073194081264e-08, { 2, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 4.581730775773e-06, -2.977169557877e-06, { 2, 0, 0, 0, 0, 8, -13, 0, 0, 0, 0, 0, 0 } }, + { -2.769553566718e-06, 4.584945363766e-06, { 2, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { -2.736111412457e-06, 4.605141828054e-06, { 2, 0, -1, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0 } }, + { -2.650082533009e-06, -4.442009592796e-06, { 2, 0, -1, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { -2.657668380929e-06, -4.369696165012e-06, { 2, 0, 0, 0, 0, 0, 8, -15, 0, 0, 0, 0, 0 } }, + { 2.015582016356e-06, -4.718951306120e-06, { 2, 0, -1, 0, 0, 0, 2, 0, 0, -5, 0, 0, 0 } }, + { 2.022450173432e-06, 4.423305214665e-06, { 2, 0, -1, 0, 0, 0, 2, 0, -4, 5, 0, 0, 0 } }, + { -1.241468293675e-06, -4.433527923831e-06, { 2, 0, -1, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { -1.198600330470e-06, 4.385179838385e-06, { 2, 0, -1, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 } }, + { 3.086810034445e-06, 1.559735766845e-06, { 2, 0, -1, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0 } }, + { 3.261239396328e-06, 1.315585263603e-06, { 0, 0, 2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 } }, + { 3.259256130668e-06, 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4.510753493344e-07, 2.194548121609e-07, { 0, 0, 1, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0 } }, + { 6.148279502829e-07, -4.773545756447e-08, { 0, 0, 1, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 } }, + { 3.930565457168e-08, 6.149692710467e-07, { 0, 0, 1, 0, 0, 0, 0, 0, -4, 10, 0, 0, 0 } }, + { 3.922100034436e-08, -6.145686194279e-07, { 0, 0, 1, 0, 0, 0, 0, 0, 4, -10, 0, 0, 0 } }, + { -4.060952473229e-08, 6.118605097664e-07, { 2, 0, -2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 } }, + { 6.085344614600e-07, 3.945862621513e-08, { 2, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0 } }, + { -5.380052615130e-07, -1.009359951365e-07, { 0, 0, 0, 0, 0, 18, -15, 0, 0, 0, 0, 0, 0 } }, + { 5.715092818382e-07, 3.597995533248e-08, { 2, 0, -1, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0 } }, + { 5.832044393948e-07, 7.502685211290e-09, { 2, 0, -3, 0, 0, 0, 14, -23, 0, 0, 0, 0, 0 } }, + { 4.369833720595e-08, 5.468115178553e-07, { 2, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 0 } }, + { 5.457010550435e-07, -2.585559127944e-08, { 2, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0 } }, + { 5.172053699957e-07, -2.200579662776e-08, { 2, 0, -1, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0 } }, + { -5.154525955400e-07, -1.845864586074e-08, { 2, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0 } }, + { -4.407179819851e-09, -5.170781162590e-07, { 2, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 0 } } +} }; + +constexpr array g_PERT_S3_4 +{ { + { -5.458720424980e-07, 2.801517894073e-07, { 0, 0, 2, 0, 0, -18, 16, 0, 0, 0, 0, 0, 0 } }, + { -5.121329506146e-07, -2.627345838573e-07, { 0, 0, 0, 0, 0, 18, -16, 0, 0, 0, 0, 0, 0 } } +} }; + +struct AAPLUS_EXT_CLASS ELPMPP02Pertubations +{ + const ELPMPP02PertubationsCoefficient* m_pTable; + size_t m_nTableSize; +}; + +constexpr array g_PERT_S1 +{ { + { g_PERT_S1_1.data(), g_PERT_S1_1.size() }, + { g_PERT_S1_2.data(), g_PERT_S1_2.size() }, + { g_PERT_S1_3.data(), g_PERT_S1_3.size() }, + { g_PERT_S1_4.data(), g_PERT_S1_4.size() } +} }; + +constexpr array g_PERT_S2 +{ { + { g_PERT_S2_1.data(), g_PERT_S2_1.size() }, + { g_PERT_S2_2.data(), g_PERT_S2_2.size() }, + { g_PERT_S2_3.data(), g_PERT_S2_3.size() } +} }; + +constexpr array g_PERT_S3 +{ { + { g_PERT_S3_1.data(), g_PERT_S3_1.size() }, + { g_PERT_S3_2.data(), g_PERT_S3_2.size() }, + { g_PERT_S3_3.data(), g_PERT_S3_3.size() }, + { g_PERT_S3_4.data(), g_PERT_S3_4.size() } +} }; + + +////////////////////////////// Implementation ///////////////////////////////// + +double CAAELPMPP02::EclipticLongitude(const double* pT, int nTSize, Correction correction, double* pDerivative) noexcept +{ + //Validate our parameters + assert(pT); + assert(nTSize == 5); + UNREFERENCED_PARAMETER(nTSize); + + //Work out the right data arrays to use + const array, 3>* g_pW = nullptr; + const array* g_pEARTH = nullptr; + const array* g_pPERI = nullptr; + const array* g_pZETA = nullptr; + const array* g_pMAIN_S1_Coeff = nullptr; + switch (correction) + { + case Correction::Nominal: + { + g_pW = &g_W_Nominal; + g_pEARTH = &g_EARTH_Nominal; + g_pPERI = &g_PERI_Nominal; + g_pZETA = &g_ZETA_Nominal; + g_pMAIN_S1_Coeff = &g_MAIN_S1_Nominal; + break; + } + case Correction::LLR: + { + g_pW = &g_W_LLR; + g_pEARTH = &g_EARTH_LLR; + g_pPERI = &g_PERI_LLR; + g_pZETA = &g_ZETA_LLR; + g_pMAIN_S1_Coeff = &g_MAIN_S1_LLR; + break; + } + case Correction::DE405: + { + g_pW = &g_W_DE405; + g_pEARTH = &g_EARTH_DE405; + g_pPERI = &g_PERI_DE405; + g_pZETA = &g_ZETA_DE405; + g_pMAIN_S1_Coeff = &g_MAIN_S1_DE405; + break; + } + case Correction::DE406: + { + g_pW = &g_W_DE406; + g_pEARTH = &g_EARTH_DE406; + g_pPERI = &g_PERI_DE406; + g_pZETA = &g_ZETA_DE406; + g_pMAIN_S1_Coeff = &g_MAIN_S1_DE406; + break; + } + default: + { + assert(false); + break; + } + } + assert(g_pW); + assert(g_pPERI); + assert(g_pEARTH); + assert(g_pZETA); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(g_pW); +#pragma warning(suppress: 26477) + __analysis_assume(g_pEARTH); +#pragma warning(suppress: 26477) + __analysis_assume(g_pPERI); +#pragma warning(suppress: 26477) + __analysis_assume(g_pZETA); +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#pragma warning(suppress: 26477) + __analysis_assume(g_pMAIN_S1_Coeff); +#endif + const array, 3>& g_W = *g_pW; + const array& g_EARTH = *g_pEARTH; + const array& g_PERI = *g_pPERI; + const array& g_ZETA = *g_pZETA; + const array& g_MAIN_S1_Coeff = *g_pMAIN_S1_Coeff; + + //Setup the Delaunay array + array, 4> fDelaunay{}; + for (int i=0; i<5; i++) + { + fDelaunay[0][i] = g_W[0][i] - g_EARTH[i]; //D + fDelaunay[1][i] = g_W[0][i] - g_W[2][i]; //F + fDelaunay[2][i] = g_W[0][i] - g_W[1][i]; //l + fDelaunay[3][i] = g_EARTH[i] - g_PERI[i]; //l' + } + fDelaunay[0][0] += CAACoordinateTransformation::PI(); + + //What will be the return value from this method + double fResult = 0; + + //Set the output parameter to a default value if required + if (pDerivative) + *pDerivative = 0; + + //First the main problem + constexpr size_t nEndI = g_MAIN_S1.size(); + for (size_t i=0; i fFi{}; + for (int a=0; a<5; a++) + { + for (int j=0; j<4; j++) + fFi[a] += g_MAIN_S1[i].m_I[j] * fDelaunay[j][a]; + } + double y = fFi[0]; + double yp = 0; + for (int k=1; k<=4; k++) + { + y += fFi[k] * pT[k]; + yp += k * fFi[k] * pT[k-1]; + } +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + fResult += (g_MAIN_S1_Coeff[i] * sin(y)); + if (pDerivative) +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + *pDerivative += (g_MAIN_S1_Coeff[i] * cos(y) * yp); + } + + //Then the perturbations + constexpr size_t nEndk = g_PERT_S1.size(); + for (size_t k=0; k fFi{}; + fFi[0] = atan2(g_PERT_S1[k].m_pTable[p].m_C, g_PERT_S1[k].m_pTable[p].m_S); + if (fFi[0] < 0) + fFi[0] += (CAACoordinateTransformation::PI() * 2); + for (int a=0; a<5; a++) + { + for (int i=0; i<4; i++) + fFi[a] += (g_PERT_S1[k].m_pTable[p].m_I[i] * fDelaunay[i][a]); + if (a < 2) + { + for (size_t i=4; i<12; i++) + fFi[a] += (g_P[i-4][a] * g_PERT_S1[k].m_pTable[p].m_I[i]); + } + fFi[a] += (g_PERT_S1[k].m_pTable[p].m_I[12] * g_ZETA[a]); + } + + double y = fFi[0]; + double yp = 0; + for (int i=1; i<=4; i++) + { + y += (fFi[i] * pT[i]); + yp += (i * fFi[i] * pT[i-1]); + } + double x = sqrt((g_PERT_S1[k].m_pTable[p].m_S * g_PERT_S1[k].m_pTable[p].m_S) + (g_PERT_S1[k].m_pTable[p].m_C * g_PERT_S1[k].m_pTable[p].m_C)); + fResult += (x * pT[k] * sin(y)); + if (pDerivative) + { + if (k == 0) + *pDerivative += (x * pT[k] * yp * cos(y)); + else + *pDerivative += (((k * x * pT[k-1]) * sin(y)) + (x * pT[k] * yp * cos(y))); + } + } + } + + fResult = CAACoordinateTransformation::MapTo0To360Range((fResult/3600.0) + CAACoordinateTransformation::RadiansToDegrees(g_W[0][0] + (g_W[0][1]*pT[1]) + (g_W[0][2]*pT[2]) + (g_W[0][3]*pT[3]) + (g_W[0][4]*pT[4]))); + if (pDerivative) + { + *pDerivative = (*pDerivative/3600.0) + CAACoordinateTransformation::RadiansToDegrees(g_W[0][1] + (2*g_W[0][2]*pT[1]) + (3*g_W[0][3]*pT[2]) + (4*g_W[0][4]*pT[3])); + *pDerivative /= 36525.0; + } + return fResult; +} + +double CAAELPMPP02::EclipticLongitude(double JD, Correction correction, double* pDerivative) noexcept +{ + //Calculate Julian centuries array + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + //Delegate to the other version of the method + return EclipticLongitude(t.data(), 5, correction, pDerivative); +} + +double CAAELPMPP02::EclipticLatitude(const double* pT, int nTSize, Correction correction, double* pDerivative) noexcept +{ + //Validate our parameters + assert(pT); + assert(nTSize == 5); + UNREFERENCED_PARAMETER(nTSize); + + //Work out the right data arrays to use + const array, 3>* g_pW = nullptr; + const array* g_pEARTH = nullptr; + const array* g_pPERI = nullptr; + const array* g_pZETA = nullptr; + const array* g_pMAIN_S2_Coeff = nullptr; + switch (correction) + { + case Correction::Nominal: + { + g_pW = &g_W_Nominal; + g_pEARTH = &g_EARTH_Nominal; + g_pPERI = &g_PERI_Nominal; + g_pZETA = &g_ZETA_Nominal; + g_pMAIN_S2_Coeff = &g_MAIN_S2_Nominal; + break; + } + case Correction::LLR: + { + g_pW = &g_W_LLR; + g_pEARTH = &g_EARTH_LLR; + g_pPERI = &g_PERI_LLR; + g_pZETA = &g_ZETA_LLR; + g_pMAIN_S2_Coeff = &g_MAIN_S2_LLR; + break; + } + case Correction::DE405: + { + g_pW = &g_W_DE405; + g_pEARTH = &g_EARTH_DE405; + g_pPERI = &g_PERI_DE405; + g_pZETA = &g_ZETA_DE405; + g_pMAIN_S2_Coeff = &g_MAIN_S2_DE405; + break; + } + case Correction::DE406: + { + g_pW = &g_W_DE406; + g_pEARTH = &g_EARTH_DE406; + g_pPERI = &g_PERI_DE406; + g_pZETA = &g_ZETA_DE406; + g_pMAIN_S2_Coeff = &g_MAIN_S2_DE406; + break; + } + default: + { + assert(false); + break; + } + } + assert(g_pW); + assert(g_pPERI); + assert(g_pEARTH); + assert(g_pZETA); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(g_pW); +#pragma warning(suppress: 26477) + __analysis_assume(g_pEARTH); +#pragma warning(suppress: 26477) + __analysis_assume(g_pPERI); +#pragma warning(suppress: 26477) + __analysis_assume(g_pZETA); +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#pragma warning(suppress: 26477) + __analysis_assume(g_pMAIN_S2_Coeff); +#endif + const array, 3>& g_W = *g_pW; + const array& g_EARTH = *g_pEARTH; + const array& g_PERI = *g_pPERI; + const array& g_ZETA = *g_pZETA; + const array& g_MAIN_S2_Coeff = *g_pMAIN_S2_Coeff; + + //Setup the Delaunay array + array, 4> fDelaunay{}; + for (int i=0; i<5; i++) + { + fDelaunay[0][i] = g_W[0][i] - g_EARTH[i]; //D + fDelaunay[1][i] = g_W[0][i] - g_W[2][i]; //F + fDelaunay[2][i] = g_W[0][i] - g_W[1][i]; //l + fDelaunay[3][i] = g_EARTH[i] - g_PERI[i]; //l' + } + fDelaunay[0][0] += CAACoordinateTransformation::PI(); + + //What will be the return value from this method + double fResult = 0; + + //Set the output parameter to a default value if required + if (pDerivative) + *pDerivative = 0; + + //First the main problem + constexpr size_t nEndI = g_MAIN_S2.size(); + for (size_t i=0; i fFi{}; + for (int a=0; a<5; a++) + { + for (int j=0; j<4; j++) + fFi[a] += (g_MAIN_S2[i].m_I[j] * fDelaunay[j][a]); + } + double y = fFi[0]; + double yp = 0; + for (int k=1; k<=4; k++) + { + y += (fFi[k] * pT[k]); + yp += (k * fFi[k] * pT[k-1]); + } +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + fResult += (g_MAIN_S2_Coeff[i] * sin(y)); + if (pDerivative) +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + *pDerivative += (g_MAIN_S2_Coeff[i] * cos(y) * yp); + } + + //Then the perturbations + constexpr size_t nEndk = g_PERT_S2.size(); + for (size_t k=0; k fFi{}; + fFi[0] = atan2(g_PERT_S2[k].m_pTable[p].m_C, g_PERT_S2[k].m_pTable[p].m_S); + if (fFi[0] < 0) + fFi[0] += (CAACoordinateTransformation::PI() * 2); + for (int a=0; a<5; a++) + { + for (int i=0; i<4; i++) + fFi[a] += (g_PERT_S2[k].m_pTable[p].m_I[i] * fDelaunay[i][a]); + if (a < 2) + { + for (size_t i=4; i<12; i++) + fFi[a] += (g_P[i-4][a] * g_PERT_S2[k].m_pTable[p].m_I[i]); + } + fFi[a] += (g_PERT_S2[k].m_pTable[p].m_I[12] * g_ZETA[a]); + } + + double y = fFi[0]; + double yp = 0; + for (int i=1; i<=4; i++) + { + y += (fFi[i] * pT[i]); + yp += (i * fFi[i] * pT[i-1]); + } + double x = sqrt((g_PERT_S2[k].m_pTable[p].m_S * g_PERT_S2[k].m_pTable[p].m_S) + (g_PERT_S2[k].m_pTable[p].m_C * g_PERT_S2[k].m_pTable[p].m_C)); + fResult += (x * pT[k] * sin(y)); + if (pDerivative) + { + if (k == 0) + *pDerivative += (x * pT[k] * yp * cos(y)); + else + *pDerivative += (((k * x * pT[k-1]) * sin(y)) + (x * pT[k] * yp * cos(y))); + } + } + } + + fResult = CAACoordinateTransformation::MapToMinus90To90Range(fResult/3600.0); + if (pDerivative) + *pDerivative = *pDerivative/(3600.0 * 36525.0); + return fResult; +} + +double CAAELPMPP02::EclipticLatitude(double JD, Correction correction, double* pDerivative) noexcept +{ + //Calculate Julian centuries array + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + //Delegate to the other version of this method + return EclipticLatitude(t.data(), 5, correction, pDerivative); +} + +double CAAELPMPP02::RadiusVector(const double* pT, int nTSize, Correction correction, double* pDerivative) noexcept +{ + //Validate our parameters + assert(pT); + assert(nTSize == 5); + UNREFERENCED_PARAMETER(nTSize); + + //Work out the right data arrays to use + const array, 3>* g_pW = nullptr; + const array* g_pEARTH = nullptr; + const array* g_pPERI = nullptr; + const array* g_pZETA = nullptr; + const array* g_pMAIN_S3_Coeff = nullptr; + switch (correction) + { + case Correction::Nominal: + { + g_pW = &g_W_Nominal; + g_pEARTH = &g_EARTH_Nominal; + g_pPERI = &g_PERI_Nominal; + g_pZETA = &g_ZETA_Nominal; + g_pMAIN_S3_Coeff = &g_MAIN_S3_Nominal; + break; + } + case Correction::LLR: + { + g_pW = &g_W_LLR; + g_pEARTH = &g_EARTH_LLR; + g_pPERI = &g_PERI_LLR; + g_pZETA = &g_ZETA_LLR; + g_pMAIN_S3_Coeff = &g_MAIN_S3_LLR; + break; + } + case Correction::DE405: + { + g_pW = &g_W_DE405; + g_pEARTH = &g_EARTH_DE405; + g_pPERI = &g_PERI_DE405; + g_pZETA = &g_ZETA_DE405; + g_pMAIN_S3_Coeff = &g_MAIN_S3_DE405; + break; + } + case Correction::DE406: + { + g_pW = &g_W_DE406; + g_pEARTH = &g_EARTH_DE406; + g_pPERI = &g_PERI_DE406; + g_pZETA = &g_ZETA_DE406; + g_pMAIN_S3_Coeff = &g_MAIN_S3_DE406; + break; + } + default: + { + assert(false); + break; + } + } + assert(g_pW); + assert(g_pPERI); + assert(g_pEARTH); + assert(g_pZETA); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(g_pW); +#pragma warning(suppress: 26477) + __analysis_assume(g_pEARTH); +#pragma warning(suppress: 26477) + __analysis_assume(g_pPERI); +#pragma warning(suppress: 26477) + __analysis_assume(g_pZETA); +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#pragma warning(suppress: 26477) + __analysis_assume(g_pMAIN_S3_Coeff); +#endif + const array, 3>& g_W = *g_pW; + const array& g_EARTH = *g_pEARTH; + const array& g_PERI = *g_pPERI; + const array& g_ZETA = *g_pZETA; + const array& g_MAIN_S3_Coeff = *g_pMAIN_S3_Coeff; + + //Setup the Delaunay array + array, 4> fDelaunay{}; + for (int i=0; i<5; i++) + { + fDelaunay[0][i] = g_W[0][i] - g_EARTH[i]; //D + fDelaunay[1][i] = g_W[0][i] - g_W[2][i]; //F + fDelaunay[2][i] = g_W[0][i] - g_W[1][i]; //l + fDelaunay[3][i] = g_EARTH[i] - g_PERI[i]; //l' + } + fDelaunay[0][0] += CAACoordinateTransformation::PI(); + + //What will be the return value from this method + double fResult = 0; + + //Set the output parameter to a default value if required + if (pDerivative) + *pDerivative = 0; + + //First the main problem + constexpr size_t nEndI = g_MAIN_S3.size(); + for (size_t i=0; i fFi{}; + for (int a=0; a<5; a++) + { + for (int j=0; j<4; j++) + fFi[a] += (g_MAIN_S3[i].m_I[j] * fDelaunay[j][a]); + } + double y = fFi[0]; + double yp = 0; + for (int k=1; k<=4; k++) + { + y += (fFi[k] * pT[k]); + yp += (k * fFi[k] * pT[k-1]); + } +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + fResult += (g_MAIN_S3_Coeff[i] * cos(y)); + if (pDerivative) +#ifdef _MSC_VER +#pragma warning(suppress : 26488) +#endif //#ifdef _MSC_VER + *pDerivative -= (g_MAIN_S3_Coeff[i] * sin(y) * yp); + } + + //Then the perturbations + constexpr size_t nEndk = g_PERT_S3.size(); + for (size_t k=0; k fFi{}; + fFi[0] = atan2(g_PERT_S3[k].m_pTable[p].m_C, g_PERT_S3[k].m_pTable[p].m_S); + if (fFi[0] < 0) + fFi[0] += (CAACoordinateTransformation::PI() * 2); + for (int a=0; a<5; a++) + { + for (int i=0; i<4; i++) + fFi[a] += (g_PERT_S3[k].m_pTable[p].m_I[i] * fDelaunay[i][a]); + if (a < 2) + { + for (size_t i=4; i<12; i++) + fFi[a] += (g_P[i-4][a] * g_PERT_S3[k].m_pTable[p].m_I[i]); + } + fFi[a] += (g_PERT_S3[k].m_pTable[p].m_I[12] * g_ZETA[a]); + } + + double y = fFi[0]; + double yp = 0; + for (int i=1; i<=4; i++) + { + y += (fFi[i] * pT[i]); + yp += (i * fFi[i] * pT[i-1]); + } + double x = sqrt((g_PERT_S3[k].m_pTable[p].m_S * g_PERT_S3[k].m_pTable[p].m_S) + (g_PERT_S3[k].m_pTable[p].m_C * g_PERT_S3[k].m_pTable[p].m_C)); + fResult += (x * pT[k] * sin(y)); + if (pDerivative) + { + if (k == 0) + *pDerivative += (x * pT[k] * yp * cos(y)); + else + *pDerivative += (((k * x * pT[k-1]) * sin(y)) + (x * pT[k] * yp * cos(y))); + } + } + } + + fResult *= 0.99999994982652029474691585875733; + if (pDerivative) + *pDerivative /= 36525.0; + + return fResult; +} + +double CAAELPMPP02::RadiusVector(double JD, Correction correction, double* pDerivative) noexcept +{ + //Calculate Julian centuries array + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + //Delegate to the other version of this method + return RadiusVector(t.data(), 5, correction, pDerivative); +} + +CAA3DCoordinate CAAELPMPP02::EclipticRectangularCoordinates(const double* pT, int nTSize, Correction correction, CAA3DCoordinate* pDerivative) noexcept +{ + double fLongitudeDerivative = 0; + double fLongitude = EclipticLongitude(pT, nTSize, correction, &fLongitudeDerivative); + fLongitudeDerivative *= 36525.0; + double fLatitudeDerivative = 0; + double fLatitude = EclipticLatitude(pT, nTSize, correction, &fLatitudeDerivative); + fLatitudeDerivative *= 36525.0; + double fRadiusDerivative = 0; + const double fRadius = RadiusVector(pT, nTSize, correction, &fRadiusDerivative); + fRadiusDerivative *= 36525.0; + fLongitude = CAACoordinateTransformation::DegreesToRadians(fLongitude); + fLongitudeDerivative = CAACoordinateTransformation::DegreesToRadians(fLongitudeDerivative); + fLatitude = CAACoordinateTransformation::DegreesToRadians(fLatitude); + fLatitudeDerivative = CAACoordinateTransformation::DegreesToRadians(fLatitudeDerivative); + const double fCosLong = cos(fLongitude); + const double fSinLong = sin(fLongitude); + const double fCosLat = cos(fLatitude); + const double fSinLat = sin(fLatitude); + const double fRCosLat = fRadius * fCosLat; + const double fRSinLat = fRadius * fSinLat; + CAA3DCoordinate value; + value.X = fRCosLat * fCosLong; + value.Y = fRCosLat * fSinLong; + value.Z = fRSinLat; + + if (pDerivative) + { + pDerivative->X = ((((fRadiusDerivative*fCosLat) - (fLatitudeDerivative*fRSinLat))*fCosLong) - (fLongitudeDerivative*value.Y)) / 36525.0; + pDerivative->Y = ((((fRadiusDerivative*fCosLat) - (fLatitudeDerivative*fRSinLat))*fSinLong) + (fLongitudeDerivative*value.X)) / 36525.0; + pDerivative->Z = ((fRadiusDerivative*fSinLat) + (fLatitudeDerivative*fRCosLat)) / 36525.0; + } + + return value; +} + +CAA3DCoordinate CAAELPMPP02::EclipticRectangularCoordinates(double JD, Correction correction, CAA3DCoordinate* pDerivative) noexcept +{ + //Calculate Julian centuries array + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + //Delegate to the other version of this method + return EclipticRectangularCoordinates(t.data(), 5, correction, pDerivative); +} + +CAA3DCoordinate CAAELPMPP02::EclipticRectangularCoordinatesJ2000(const double* pT, int nTSize, Correction correction, CAA3DCoordinate* pDerivative) noexcept +{ + //Validate our parameters + assert(pT); + assert(nTSize == 5); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pT); +#endif + + static constexpr array LaskarsP + { { + 1.0180391e-5, + 4.7020439e-7, + -5.417367e-10, + -2.507948e-12, + 4.63486e-15 + } }; + + static constexpr array LaskarsQ + { { + -1.13469002e-4, + 1.2372674e-7, + 1.265417e-9, + -1.371808e-12, + -3.20334e-15 + } }; + + CAA3DCoordinate EclipticDerivative; + const CAA3DCoordinate Ecliptic = EclipticRectangularCoordinates(pT, nTSize, correction, &EclipticDerivative); + EclipticDerivative.X *= 36525.0; + EclipticDerivative.Y *= 36525.0; + EclipticDerivative.Z *= 36525.0; + const double fP = (LaskarsP[0] + (LaskarsP[1]*pT[1]) + (LaskarsP[2]*pT[2]) + (LaskarsP[3]*pT[3]) + (LaskarsP[4]*pT[4])) * pT[1]; + const double fQ = (LaskarsQ[0] + (LaskarsQ[1]*pT[1]) + (LaskarsQ[2]*pT[2]) + (LaskarsQ[3]*pT[3]) + (LaskarsQ[4]*pT[4])) * pT[1]; + const double fTwoP = 2*fP; + const double fP2 = fP*fP; + const double fQ2 = fQ*fQ; + const double fOneMinus2P2 = 1 - (2*fP2); + const double fOneMinus2Q2 = 1 - (2*fQ2); + const double fTwoPQ = fTwoP*fQ; + const double fTwosqrt1MinusPart = 2*sqrt(1 - fP2 - fQ2); + const double fPTwosqrt1MinusPart = fP*fTwosqrt1MinusPart; + const double fQTwosqrt1MinusPart = fQ*fTwosqrt1MinusPart; + CAA3DCoordinate J2000; + J2000.X = (fOneMinus2P2*Ecliptic.X) + (fTwoPQ*Ecliptic.Y) + (fPTwosqrt1MinusPart*Ecliptic.Z); + J2000.Y = (fTwoPQ*Ecliptic.X) + (fOneMinus2Q2*Ecliptic.Y) - (fQTwosqrt1MinusPart*Ecliptic.Z); + J2000.Z = (-fPTwosqrt1MinusPart*Ecliptic.X) + (fQTwosqrt1MinusPart*Ecliptic.Y) + ((fOneMinus2P2 + fOneMinus2Q2 - 1)*Ecliptic.Z); + if (pDerivative) + { + const double fPp = LaskarsP[0] + (2*LaskarsP[1] + 3*LaskarsP[2]*pT[1] + 4*LaskarsP[3]*pT[2] + 5*LaskarsP[3]*pT[4]) * pT[1]; + const double fQp = LaskarsQ[0] + (2*LaskarsQ[1] + 3*LaskarsQ[2]*pT[1] + 4*LaskarsQ[3]*pT[2] + 5*LaskarsQ[3]*pT[4]) * pT[1]; + const double fMinus4PPp = -4*fP*fPp; + const double fMinus4QQp = -4*fQ*fQp; + const double fTwoPpQpQp = 2*((fPp*fQ) + (fP*fQp)); + const double fK1 = (fMinus4PPp + fMinus4QQp) / fTwosqrt1MinusPart; + const double fK2 = (fPp*fTwosqrt1MinusPart) + (fP*fK1); + const double fK3 = (fQp*fTwosqrt1MinusPart) + (fQ*fK1); + pDerivative->X = ((fOneMinus2P2*EclipticDerivative.X) + (fTwoPQ*EclipticDerivative.Y) + (fPTwosqrt1MinusPart*EclipticDerivative.Z) + (fMinus4PPp*Ecliptic.X) + (fTwoPpQpQp*Ecliptic.Y) + (fK2*Ecliptic.Z)) / 36525.0; + pDerivative->Y = ((fTwoPQ*EclipticDerivative.X) + (fOneMinus2Q2*EclipticDerivative.Y) - (fQTwosqrt1MinusPart*EclipticDerivative.Z) + (fTwoPpQpQp*Ecliptic.X) + (fMinus4QQp*Ecliptic.Y) - (fK3*Ecliptic.Z)) / 36525.0; + pDerivative->Z = ((-fPTwosqrt1MinusPart*EclipticDerivative.X) + (fQTwosqrt1MinusPart*EclipticDerivative.Y) + ((fOneMinus2P2 + fOneMinus2Q2 - 1)*EclipticDerivative.Z) - (fK2*Ecliptic.X) + (fK3*Ecliptic.Y) + ((fMinus4PPp + fMinus4QQp)*Ecliptic.Z)) / 36525.0; + } + return J2000; +} + +CAA3DCoordinate CAAELPMPP02::EclipticRectangularCoordinatesJ2000(double JD, Correction correction, CAA3DCoordinate* pDerivative) noexcept +{ + //Calculate Julian centuries array + array t; + t[0] = 1; + t[1] = (JD - 2451545.0) / 36525.0; + t[2] = t[1] * t[1]; + t[3] = t[2] * t[1]; + t[4] = t[3] * t[1]; + + //Delegate to the other version of this method + return EclipticRectangularCoordinatesJ2000(t.data(), 5, correction, pDerivative); +} diff --git a/Sources/AAPlus/include/AAELPMPP02.h b/Sources/AAPlus/include/AAELPMPP02.h new file mode 100644 index 0000000..9f43862 --- /dev/null +++ b/Sources/AAPlus/include/AAELPMPP02.h @@ -0,0 +1,69 @@ +/* +Module : AAELPMPP02.h +Purpose: Implementation for the algorithms for ELP/MPP02 +Created: PJN / 30-07-2017 + +Copyright (c) 2017 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif + +#ifndef __AAELPMPP02_H__ +#define __AAELPMPP02_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include "AA3DCoordinate.h" + + +////////////////////////////// Classes //////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAELPMPP02 +{ +public: +//Enums + enum class Correction + { + Nominal = 0, + LLR, + DE405, + DE406 + }; + +//Static methods + static double EclipticLongitude(double JD, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static double EclipticLongitude(const double* pT, int nTSize, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static double EclipticLatitude(double JD, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static double EclipticLatitude(const double* pT, int nTSize, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static double RadiusVector(double JD, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static double RadiusVector(const double* pT, int nTSize, Correction correction = Correction::LLR, double* pDerivative = nullptr) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinates(double JD, Correction correction = Correction::LLR, CAA3DCoordinate* pDerivative = nullptr) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinates(const double* pT, int nTSize, Correction correction = Correction::LLR, CAA3DCoordinate* pDerivative = nullptr) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double JD, Correction correction = Correction::LLR, CAA3DCoordinate* pDerivative = nullptr) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(const double* pT, int nTSize, Correction correction = Correction::LLR, CAA3DCoordinate* pDerivative = nullptr) noexcept; +}; + + +#endif //#ifndef __AAELPMPP02_H__ diff --git a/Vendor/AA+/1.6.3/AAEarth.h b/Sources/AAPlus/include/AAEarth.h old mode 100755 new mode 100644 similarity index 58% rename from Vendor/AA+/1.6.3/AAEarth.h rename to Sources/AAPlus/include/AAEarth.h index fb6b9ab..8cbc618 --- a/Vendor/AA+/1.6.3/AAEarth.h +++ b/Sources/AAPlus/include/AAEarth.h @@ -1,19 +1,19 @@ /* -Module : AAEARTH.H +Module : AAEarth.h Purpose: Implementation for the algorithms which calculate the position of Earth Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. Copyright / Usage Details: -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. */ @@ -38,13 +38,23 @@ class AAPLUS_EXT_CLASS CAAEarth { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); - static double SunMeanAnomaly(double JD); - static double Eccentricity(double JD); - static double EclipticLongitudeJ2000(double JD, bool bHighPrecision); - static double EclipticLatitudeJ2000(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; + static double SunMeanAnomaly(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double Eccentricity(double JD) noexcept + { + const double T = (JD - 2451545) / 36525; + const double Tsquared = T * T; + return 1 - 0.002516*T - 0.0000074*Tsquared; + } + + static double EclipticLongitudeJ2000(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitudeJ2000(double JD, bool bHighPrecision) noexcept; }; diff --git a/Sources/AAPlus/include/AAEaster.h b/Sources/AAPlus/include/AAEaster.h new file mode 100644 index 0000000..f8da018 --- /dev/null +++ b/Sources/AAPlus/include/AAEaster.h @@ -0,0 +1,91 @@ +/* +Module : AAEaster.h +Purpose: Implementation for the algorithms which calculate the date of Easter +Created: PJN / 29-12-2003 +History: PJN / 07-07-2016 1. Fixed a compiler warning in CAAEaster::Calculate as reported at + http://stackoverflow.com/questions/2348415/objective-c-astronomy-library. + PJN / 03-10-2021 1. Made CAAEaster::Calculate constexpr + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAEASTER_H__ +#define __AAEASTER_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +///////////////////// Classes ///////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAEasterDetails +{ +public: +//Member variables + long Month = 0; + long Day = 0; +}; + +class AAPLUS_EXT_CLASS CAAEaster +{ +public: +//Static methods + static constexpr CAAEasterDetails Calculate(int nYear, bool GregorianCalendar) noexcept + { + CAAEasterDetails details; + if (GregorianCalendar) + { + const int a = nYear % 19; + const int b = nYear / 100; + const int c = nYear % 100; + const int d = b / 4; + const int e = b % 4; + const int f = (b + 8) / 25; + const int g = (b - f + 1) / 3; + const int h = (19 * a + b - d - g + 15) % 30; + const int i = c / 4; + const int k = c % 4; + const int l = (32 + 2 * e + 2 * i - h - k) % 7; + const int m = (a + 11 * h + 22 * l) / 451; + const int n = (h + l - 7 * m + 114) / 31; + const int p = (h + l - 7 * m + 114) % 31; + details.Month = n; + details.Day = p + 1; + } + else + { + const int a = nYear % 4; + const int b = nYear % 7; + const int c = nYear % 19; + const int d = (19 * c + 15) % 30; + const int e = (2 * a + 4 * b - d + 34) % 7; + const int f = (d + e + 114) / 31; + const int g = (d + e + 114) % 31; + details.Month = f; + details.Day = g + 1; + } + return details; + } +}; + + +#endif //#ifndef __AAEASTER_H__ diff --git a/Sources/AAPlus/include/AAEclipses.h b/Sources/AAPlus/include/AAEclipses.h new file mode 100644 index 0000000..26aed4a --- /dev/null +++ b/Sources/AAPlus/include/AAEclipses.h @@ -0,0 +1,88 @@ +/* +Module : AAEclipses.h +Purpose: Implementation for the algorithms which obtain the principal characteristics of an eclipse of the Sun or the Moon +Created: PJN / 21-01-2004 + +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAECLIPSES_H__ +#define __AAECLIPSES_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAASolarEclipseDetails +{ +public: +//Constants (used by Flags member variable) + static constexpr unsigned int TOTAL_ECLIPSE = 0x01; + static constexpr unsigned int ANNULAR_ECLIPSE = 0x02; + static constexpr unsigned int ANNULAR_TOTAL_ECLIPSE = 0x04; + static constexpr unsigned int CENTRAL_ECLIPSE = 0x08; + static constexpr unsigned int PARTIAL_ECLIPSE = 0x10; + static constexpr unsigned int NON_CENTRAL_ECLIPSE = 0x20; + +//Member variables + unsigned int Flags = 0; + double TimeOfMaximumEclipse = 0; + double F = 0; + double u = 0; + double gamma = 0; + double GreatestMagnitude = 0; +}; + + +class AAPLUS_EXT_CLASS CAALunarEclipseDetails +{ +public: +//Member variables + bool bEclipse = false; + double TimeOfMaximumEclipse = 0; + double F = 0; + double u = 0; + double gamma = 0; + double PenumbralRadii = 0; + double UmbralRadii = 0; + double PenumbralMagnitude = 0; + double UmbralMagnitude = 0; + double PartialPhaseSemiDuration = 0; + double TotalPhaseSemiDuration = 0; + double PartialPhasePenumbraSemiDuration = 0; +}; + +class AAPLUS_EXT_CLASS CAAEclipses +{ +public: +//Static methods + static CAASolarEclipseDetails CalculateSolar(double k) noexcept; + static CAALunarEclipseDetails CalculateLunar(double k) noexcept; + +protected: + static CAASolarEclipseDetails Calculate(double k, double& Mdash) noexcept; +}; + + +#endif //#ifndef __AAECLIPSES_H__ diff --git a/Vendor/AA+/1.6.3/AAEclipticalElements.cpp b/Sources/AAPlus/include/AAEclipticalElements.cpp old mode 100755 new mode 100644 similarity index 61% rename from Vendor/AA+/1.6.3/AAEclipticalElements.cpp rename to Sources/AAPlus/include/AAEclipticalElements.cpp index 9457cc5..814c1fa --- a/Vendor/AA+/1.6.3/AAEclipticalElements.cpp +++ b/Sources/AAPlus/include/AAEclipticalElements.cpp @@ -1,12 +1,13 @@ /* -Module : AAECLIPTICALELEMENTS.CPP +Module : AAEclipticalElements.cpp Purpose: Implementation for the algorithms which map the ecliptical elements from one equinox to another Created: PJN / 29-12-2003 History: PJN / 29-11-2006 1. Fixed a bug where CAAEclipticalElements::Calculate and CAAEclipticalElements::FK4B1950ToFK5J2000 would return the incorrect value for the reduced inclination when the initial inclination value - was > 90 degrees. + was > 90 degrees. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -32,17 +33,17 @@ using namespace std; /////////////////////////// Implementation //////////////////////////////////// -CAAEclipticalElementDetails CAAEclipticalElements::Calculate(double i0, double w0, double omega0, double JD0, double JD) +CAAEclipticalElementDetails CAAEclipticalElements::Calculate(double i0, double w0, double omega0, double JD0, double JD) noexcept { - double T = (JD0 - 2451545.0) / 36525; - double Tsquared = T*T; - double t = (JD - JD0) / 36525; - double tsquared = t*t; - double tcubed = tsquared * t; + const double T = (JD0 - 2451545.0) / 36525; + const double Tsquared = T*T; + const double t = (JD - JD0) / 36525; + const double tsquared = t*t; + const double tcubed = tsquared * t; //Now convert to radians - double i0rad = CAACoordinateTransformation::DegreesToRadians(i0); - double omega0rad = CAACoordinateTransformation::DegreesToRadians(omega0); + const double i0rad = CAACoordinateTransformation::DegreesToRadians(i0); + const double omega0rad = CAACoordinateTransformation::DegreesToRadians(omega0); double eta = (47.0029 - 0.06603*T + 0.000598*Tsquared)*t + (-0.03302 + 0.000598*T)*tsquared + 0.00006*tcubed; eta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, eta)); @@ -53,57 +54,57 @@ CAAEclipticalElementDetails CAAEclipticalElements::Calculate(double i0, double w double p = (5029.0966 + 2.22226*T - 0.000042*Tsquared)*t + (1.11113 - 0.000042*T)*tsquared - 0.000006*tcubed; p = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, p)); - double sini0rad = sin(i0rad); - double cosi0rad = cos(i0rad); - double sinomega0rad_pi = sin(omega0rad - pi); - double cosomega0rad_pi = cos(omega0rad - pi); - double sineta = sin(eta); - double coseta = cos(eta); + const double sini0rad = sin(i0rad); + const double cosi0rad = cos(i0rad); + const double sinomega0rad_pi = sin(omega0rad - pi); + const double cosomega0rad_pi = cos(omega0rad - pi); + const double sineta = sin(eta); + const double coseta = cos(eta); double A = sini0rad*sinomega0rad_pi; double B = -sineta*cosi0rad + coseta*sini0rad*cosomega0rad_pi; - double irad = asin(sqrt(A*A + B*B)); + const double irad = asin(sqrt(A*A + B*B)); CAAEclipticalElementDetails details; details.i = CAACoordinateTransformation::RadiansToDegrees(irad); - double cosi = cosi0rad*coseta + sini0rad*sineta*cosomega0rad_pi; + const double cosi = cosi0rad*coseta + sini0rad*sineta*cosomega0rad_pi; if (cosi < 0) details.i = 180 - details.i; - double phi = pi + p; + const double phi = pi + p; details.omega = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(atan2(A, B) + phi)); A = -sineta*sinomega0rad_pi; B = sini0rad*coseta - cosi0rad*sineta*cosomega0rad_pi; - double deltaw = CAACoordinateTransformation::RadiansToDegrees(atan2(A, B)); + const double deltaw = CAACoordinateTransformation::RadiansToDegrees(atan2(A, B)); details.w = CAACoordinateTransformation::MapTo0To360Range(w0 + deltaw); return details; } -CAAEclipticalElementDetails CAAEclipticalElements::FK4B1950ToFK5J2000(double i0, double w0, double omega0) +CAAEclipticalElementDetails CAAEclipticalElements::FK4B1950ToFK5J2000(double i0, double w0, double omega0) noexcept { //convert to radians - double L = CAACoordinateTransformation::DegreesToRadians(5.19856209); - double J = CAACoordinateTransformation::DegreesToRadians(0.00651966); - double i0rad = CAACoordinateTransformation::DegreesToRadians(i0); - double omega0rad = CAACoordinateTransformation::DegreesToRadians(omega0); - double sini0rad = sin(i0rad); - double cosi0rad = cos(i0rad); + constexpr double L = CAACoordinateTransformation::DegreesToRadians(5.19856209); + constexpr double J = CAACoordinateTransformation::DegreesToRadians(0.00651966); + const double i0rad = CAACoordinateTransformation::DegreesToRadians(i0); + const double omega0rad = CAACoordinateTransformation::DegreesToRadians(omega0); + const double sini0rad = sin(i0rad); + const double cosi0rad = cos(i0rad); //Calculate some values used later - double cosJ = cos(J); - double sinJ = sin(J); - double W = L + omega0rad; - double cosW = cos(W); - double sinW = sin(W); - double A = sinJ*sinW; - double B = sini0rad*cosJ + cosi0rad*sinJ*cosW; + const double cosJ = cos(J); + const double sinJ = sin(J); + const double W = L + omega0rad; + const double cosW = cos(W); + const double sinW = sin(W); + const double A = sinJ*sinW; + const double B = sini0rad*cosJ + cosi0rad*sinJ*cosW; //Calculate the values CAAEclipticalElementDetails details; details.i = CAACoordinateTransformation::RadiansToDegrees(asin(sqrt(A*A + B*B))); - double cosi = cosi0rad*cosJ - sini0rad*sinJ*cosW; + const double cosi = cosi0rad*cosJ - sini0rad*sinJ*cosW; if (cosi < 0) details.i = 180 - details.i; diff --git a/Vendor/AA+/1.6.3/AAEclipticalElements.h b/Sources/AAPlus/include/AAEclipticalElements.h old mode 100755 new mode 100644 similarity index 76% rename from Vendor/AA+/1.6.3/AAEclipticalElements.h rename to Sources/AAPlus/include/AAEclipticalElements.h index 0585120..00e0ebb --- a/Vendor/AA+/1.6.3/AAEclipticalElements.h +++ b/Sources/AAPlus/include/AAEclipticalElements.h @@ -1,9 +1,9 @@ /* -Module : AAECLIPTICALELEMENTS.H +Module : AAEclipticalElements.h Purpose: Implementation for the algorithms which map the ecliptical elements from one equinox to another Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,25 +37,18 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAEclipticalElementDetails { public: -//Constructors / Destructors - CAAEclipticalElementDetails() : i(0), - w(0), - omega(0) - { - }; - //Member variables - double i; - double w; - double omega; + double i = 0; + double w = 0; + double omega = 0; }; class AAPLUS_EXT_CLASS CAAEclipticalElements { public: //Static methods - static CAAEclipticalElementDetails Calculate(double i0, double w0, double omega0, double JD0, double JD); - static CAAEclipticalElementDetails FK4B1950ToFK5J2000(double i0, double w0, double omega0); + static CAAEclipticalElementDetails Calculate(double i0, double w0, double omega0, double JD0, double JD) noexcept; + static CAAEclipticalElementDetails FK4B1950ToFK5J2000(double i0, double w0, double omega0) noexcept; }; diff --git a/Sources/AAPlus/include/AAElementsPlanetaryOrbit.h b/Sources/AAPlus/include/AAElementsPlanetaryOrbit.h new file mode 100644 index 0000000..ad067d5 --- /dev/null +++ b/Sources/AAPlus/include/AAElementsPlanetaryOrbit.h @@ -0,0 +1,303 @@ +/* +Module : AAElementsPlanetaryOrbit.h +Purpose: Implementation for the algorithms to calculate the elements of the planetary orbits +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif + +#ifndef __AAELEMENTSPLANETARYORBIT_H__ +#define __AAELEMENTSPLANETARYORBIT_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAElementsPlanetaryOrbit +{ +public: +//Static methods + static double MercuryMeanLongitude(double JD) noexcept; + + constexpr static double MercurySemimajorAxis(double /*JD*/) noexcept + { + return 0.387098310; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MercuryEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.20563175 + 0.000020407*T - 0.0000000283*Tsquared - 0.00000000018*Tcubed; + } + + static double MercuryInclination(double JD) noexcept; + static double MercuryLongitudeAscendingNode(double JD) noexcept; + static double MercuryLongitudePerihelion(double JD) noexcept; + + static double VenusMeanLongitude(double JD) noexcept; + + constexpr static double VenusSemimajorAxis(double /*JD*/) noexcept + { + return 0.723329820; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double VenusEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.00677192 - 0.000047765*T + 0.0000000981*Tsquared + 0.00000000046*Tcubed; + } + + static double VenusInclination(double JD) noexcept; + static double VenusLongitudeAscendingNode(double JD) noexcept; + static double VenusLongitudePerihelion(double JD) noexcept; + + static double EarthMeanLongitude(double JD) noexcept; + + constexpr static double EarthSemimajorAxis(double /*JD*/) noexcept + { + return 1.000001018; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double EarthEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.01670863 - 0.000042037*T - 0.0000001267*Tsquared + 0.00000000014*Tcubed; + } + + constexpr static double EarthInclination(double /*JD*/) noexcept + { + return 0; + } + + static double EarthLongitudePerihelion(double JD) noexcept; + + static double MarsMeanLongitude(double JD) noexcept; + + constexpr static double MarsSemimajorAxis(double /*JD*/) noexcept + { + return 1.523679342; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MarsEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.09340065 + 0.000090484*T - 0.0000000806*Tsquared - 0.00000000025*Tcubed; + } + + static double MarsInclination(double JD) noexcept; + static double MarsLongitudeAscendingNode(double JD) noexcept; + static double MarsLongitudePerihelion(double JD) noexcept; + + static double JupiterMeanLongitude(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double JupiterSemimajorAxis(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + + return 5.202603209 + 0.0000001913*T; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double JupiterEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.04849793 + 0.000163225*T - 0.0000004714*Tsquared - 0.00000000201*Tcubed; + } + + static double JupiterInclination(double JD) noexcept; + static double JupiterLongitudeAscendingNode(double JD) noexcept; + static double JupiterLongitudePerihelion(double JD) noexcept; + + static double SaturnMeanLongitude(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double SaturnSemimajorAxis(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + + return 9.554909192 - 0.0000021390*T + 0.000000004*Tsquared; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double SaturnEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.05554814 - 0.0003446641*T - 0.0000006436*Tsquared + 0.00000000340*Tcubed; + } + + static double SaturnInclination(double JD) noexcept; + static double SaturnLongitudeAscendingNode(double JD) noexcept; + static double SaturnLongitudePerihelion(double JD) noexcept; + + static double UranusMeanLongitude(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double UranusSemimajorAxis(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + + return 19.218446062 - 0.0000000372*T + 0.00000000098*Tsquared; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double UranusEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.04638122 - 0.000027293*T + 0.0000000789*Tsquared + 0.00000000024*Tcubed; + } + + static double UranusInclination(double JD) noexcept; + static double UranusLongitudeAscendingNode(double JD) noexcept; + static double UranusLongitudePerihelion(double JD) noexcept; + + static double NeptuneMeanLongitude(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double NeptuneSemimajorAxis(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + + return 30.110386869 - 0.0000001663*T + 0.00000000069*Tsquared; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double NeptuneEccentricity(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tcubed = T * T*T; + + return 0.00945575 + 0.000006033*T - 0.00000000005*Tcubed; + } + + static double NeptuneInclination(double JD) noexcept; + static double NeptuneLongitudeAscendingNode(double JD) noexcept; + static double NeptuneLongitudePerihelion(double JD) noexcept; + + static double MercuryMeanLongitudeJ2000(double JD) noexcept; + static double MercuryInclinationJ2000(double JD) noexcept; + static double MercuryLongitudeAscendingNodeJ2000(double JD) noexcept; + static double MercuryLongitudePerihelionJ2000(double JD) noexcept; + + static double VenusMeanLongitudeJ2000(double JD) noexcept; + static double VenusInclinationJ2000(double JD) noexcept; + static double VenusLongitudeAscendingNodeJ2000(double JD) noexcept; + static double VenusLongitudePerihelionJ2000(double JD) noexcept; + + static double EarthMeanLongitudeJ2000(double JD) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double EarthInclinationJ2000(double JD) noexcept + { + const double T = (JD - 2451545.0) / 36525; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + + return 0.0130548*T - 0.00000931*Tsquared - 0.000000034*Tcubed; + } + + static double EarthLongitudeAscendingNodeJ2000(double JD) noexcept; + static double EarthLongitudePerihelionJ2000(double JD) noexcept; + + static double MarsMeanLongitudeJ2000(double JD) noexcept; + static double MarsInclinationJ2000(double JD) noexcept; + static double MarsLongitudeAscendingNodeJ2000(double JD) noexcept; + static double MarsLongitudePerihelionJ2000(double JD) noexcept; + + static double JupiterMeanLongitudeJ2000(double JD) noexcept; + static double JupiterInclinationJ2000(double JD) noexcept; + static double JupiterLongitudeAscendingNodeJ2000(double JD) noexcept; + static double JupiterLongitudePerihelionJ2000(double JD) noexcept; + + static double SaturnMeanLongitudeJ2000(double JD) noexcept; + static double SaturnInclinationJ2000(double JD) noexcept; + static double SaturnLongitudeAscendingNodeJ2000(double JD) noexcept; + static double SaturnLongitudePerihelionJ2000(double JD) noexcept; + + static double UranusMeanLongitudeJ2000(double JD) noexcept; + static double UranusInclinationJ2000(double JD) noexcept; + static double UranusLongitudeAscendingNodeJ2000(double JD) noexcept; + static double UranusLongitudePerihelionJ2000(double JD) noexcept; + + static double NeptuneMeanLongitudeJ2000(double JD) noexcept; + static double NeptuneInclinationJ2000(double JD) noexcept; + static double NeptuneLongitudeAscendingNodeJ2000(double JD) noexcept; + static double NeptuneLongitudePerihelionJ2000(double JD) noexcept; +}; + +#endif //__AAELEMENTSPLANETARYORBIT_H__ diff --git a/Sources/AAPlus/include/AAElliptical.h b/Sources/AAPlus/include/AAElliptical.h new file mode 100644 index 0000000..cded54a --- /dev/null +++ b/Sources/AAPlus/include/AAElliptical.h @@ -0,0 +1,128 @@ +/* +Module : AAElliptical.h +Purpose: Implementation for the algorithms for an elliptical orbit +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAELLIPTICAL_H__ +#define __AAELLIPTICAL_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA3DCoordinate.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAEllipticalObjectElements +{ +public: +//Member variables + double a = 0; + double e = 0; + double i = 0; + double w = 0; + double omega = 0; + double JDEquinox = 0; + double T = 0; +}; + +class AAPLUS_EXT_CLASS CAAEllipticalPlanetaryDetails +{ +public: +//Member variables + double ApparentGeocentricLongitude = 0; + double ApparentGeocentricLatitude = 0; + double ApparentGeocentricDistance = 0; + double ApparentLightTime = 0; + double ApparentGeocentricRA = 0; + double ApparentGeocentricDeclination = 0; +}; + +class AAPLUS_EXT_CLASS CAAEllipticalObjectDetails +{ +public: +//Member variables + CAA3DCoordinate HeliocentricRectangularEquatorial; + CAA3DCoordinate HeliocentricRectangularEcliptical; + double HeliocentricEclipticLongitude = 0; + double HeliocentricEclipticLatitude = 0; + double TrueGeocentricRA = 0; + double TrueGeocentricDeclination = 0; + double TrueGeocentricDistance = 0; + double TrueGeocentricLightTime = 0; + double AstrometricGeocentricRA = 0; + double AstrometricGeocentricDeclination = 0; + double AstrometricGeocentricDistance = 0; + double AstrometricGeocentricLightTime = 0; + double Elongation = 0; + double PhaseAngle = 0; +}; + +class AAPLUS_EXT_CLASS CAAElliptical +{ +public: +//Enums + enum class Object + { + SUN, + MERCURY, + VENUS, + MARS, + JUPITER, + SATURN, + URANUS, + NEPTUNE + }; + +//Static methods + + constexpr static double DistanceToLightTime(double Distance) + { + return Distance * 0.0057755183; + } + + static CAAEllipticalPlanetaryDetails Calculate(double JD, Object object, bool bHighPrecision) noexcept; + + constexpr static double SemiMajorAxisFromPerihelionDistance(double q, double e) + { + return q / (1 - e); + } + + static double MeanMotionFromSemiMajorAxis(double a) noexcept; + static CAAEllipticalObjectDetails Calculate(double JD, const CAAEllipticalObjectElements& elements, bool bHighPrecision) noexcept; + static double InstantaneousVelocity(double r, double a) noexcept; + static double VelocityAtPerihelion(double e, double a) noexcept; + static double VelocityAtAphelion(double e, double a) noexcept; + static double LengthOfEllipse(double e, double a) noexcept; + static double CometMagnitude(double g, double delta, double k, double r) noexcept; + static double MinorPlanetMagnitude(double H, double delta, double G, double r, double PhaseAngle) noexcept; +}; + + +#endif //#ifndef __AAELLIPTICAL_H__ diff --git a/Vendor/AA+/1.6.3/AAEquationOfTime.h b/Sources/AAPlus/include/AAEquationOfTime.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAEquationOfTime.h rename to Sources/AAPlus/include/AAEquationOfTime.h index 46fea47..ea3bb83 --- a/Vendor/AA+/1.6.3/AAEquationOfTime.h +++ b/Sources/AAPlus/include/AAEquationOfTime.h @@ -1,9 +1,9 @@ /* -Module : AAEQUATIONOFTIME.H +Module : AAEquationOfTime.h Purpose: Implementation for the algorithms to calculate the "Equation of Time" Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,7 +38,7 @@ class AAPLUS_EXT_CLASS CAAEquationOfTime { public: //Static methods - static double Calculate(double JD, bool bHighPrecision); + static double Calculate(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.cpp b/Sources/AAPlus/include/AAEquinoxesAndSolstices.cpp old mode 100755 new mode 100644 similarity index 70% rename from Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.cpp rename to Sources/AAPlus/include/AAEquinoxesAndSolstices.cpp index e9c4ba6..ba22a9c --- a/Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.cpp +++ b/Sources/AAPlus/include/AAEquinoxesAndSolstices.cpp @@ -1,5 +1,5 @@ /* -Module : AAEQUINOXESANDSOLTICES.CPP +Module : AAEquinoxesAndSoltices.cpp Purpose: Implementation for the algorithms to calculate the dates of the Equinoxes and Solstices Created: PJN / 29-12-2003 History: PJN / 28-10-2013 1. Renamed the method SpringEquinox to NorthwardEquinox to avoid the northern hemisphere @@ -11,22 +11,23 @@ History: PJN / 28-10-2013 1. Renamed the method SpringEquinox to NorthwardEquino 4. Renamed the method WinterSolstice to SouthernSolstice to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson for prompting this update. 5. The method LengthOfSpring now takes a boolean to indicate which hemisphere the observer - is located it as previously the code assumed a northern hemisphere bias. Thanks to Marius + is located in as previously the code assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this update. 6. The method LengthOfSummer now takes a boolean to indicate which hemisphere the observer - is located it as previously the code assumed a northern hemisphere bias. Thanks to Marius + is located in as previously the code assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this update. 7. The method LengthOfAutumn now takes a boolean to indicate which hemisphere the observer - is located it as previously the code assumed a northern hemisphere bias. Thanks to Marius + is located in as previously the code assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this update. 8. The method LengthOfWinter now takes a boolean to indicate which hemisphere the observer - is located it as previously the code assumed a northern hemisphere bias. Thanks to Marius + is located in as previously the code assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this update. PJN / 30-08-2015 1. All the methods in CAAEquinoxesAndSolstices now include a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -53,32 +54,32 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -double CAAEquinoxesAndSolstices::NorthwardEquinox(long Year, bool bHighPrecision) +double CAAEquinoxesAndSolstices::NorthwardEquinox(long Year, bool bHighPrecision) noexcept { //calculate the approximate date - double JDE; + double JDE = 0; if (Year <= 1000) { - double Y = Year / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = Year / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 1721139.29189 + 365242.13740*Y + 0.06134*Ysquared + 0.00111*Ycubed - 0.00071*Y4; } else { - double Y = (Year - 2000) / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = (Year - 2000.0) / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 2451623.80984 + 365242.37404*Y + 0.05169*Ysquared - 0.00411*Ycubed - 0.00057*Y4; } - double Correction; + double Correction = 0; do { - double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); - Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(-SunLongitude)); + const double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); + Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(-SunLongitude)); JDE += Correction; } while (fabs(Correction) > 0.00001); //Corresponds to an error of 0.86 of a second @@ -86,32 +87,32 @@ double CAAEquinoxesAndSolstices::NorthwardEquinox(long Year, bool bHighPrecision return JDE; } -double CAAEquinoxesAndSolstices::NorthernSolstice(long Year, bool bHighPrecision) +double CAAEquinoxesAndSolstices::NorthernSolstice(long Year, bool bHighPrecision) noexcept { //calculate the approximate date - double JDE; + double JDE = 0; if (Year <= 1000) { - double Y = Year / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = Year / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 1721233.25401 + 365241.72562*Y - 0.05323*Ysquared + 0.00907*Ycubed + 0.00025*Y4; } else { - double Y = (Year - 2000) / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = (Year - 2000.0) / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 2451716.56767 + 365241.62603*Y + 0.00325*Ysquared + 0.00888*Ycubed - 0.00030*Y4; } - double Correction; + double Correction = 0; do { - double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); - Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(90 - SunLongitude)); + const double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); + Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(90 - SunLongitude)); JDE += Correction; } while (fabs(Correction) > 0.00001); //Corresponds to an error of 0.86 of a second @@ -119,32 +120,32 @@ double CAAEquinoxesAndSolstices::NorthernSolstice(long Year, bool bHighPrecision return JDE; } -double CAAEquinoxesAndSolstices::SouthwardEquinox(long Year, bool bHighPrecision) +double CAAEquinoxesAndSolstices::SouthwardEquinox(long Year, bool bHighPrecision) noexcept { //calculate the approximate date - double JDE; + double JDE = 0; if (Year <= 1000) { - double Y = Year / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = Year / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 1721325.70455 + 365242.49558*Y - 0.11677*Ysquared - 0.00297*Ycubed + 0.00074*Y4; } else { - double Y = (Year - 2000) / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = (Year - 2000.0) / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 2451810.21715 + 365242.01767*Y - 0.11575*Ysquared + 0.00337*Ycubed + 0.00078*Y4; } - double Correction; + double Correction = 0; do { - double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); - Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(180 - SunLongitude)); + const double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); + Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(180 - SunLongitude)); JDE += Correction; } while (fabs(Correction) > 0.00001); //Corresponds to an error of 0.86 of a second @@ -152,32 +153,32 @@ double CAAEquinoxesAndSolstices::SouthwardEquinox(long Year, bool bHighPrecision return JDE; } -double CAAEquinoxesAndSolstices::SouthernSolstice(long Year, bool bHighPrecision) +double CAAEquinoxesAndSolstices::SouthernSolstice(long Year, bool bHighPrecision) noexcept { //calculate the approximate date - double JDE; + double JDE = 0; if (Year <= 1000) { - double Y = Year / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = Year / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 1721414.39987 + 365242.88257*Y - 0.00769*Ysquared - 0.00933*Ycubed - 0.00006*Y4; } else { - double Y = (Year - 2000) / 1000.0; - double Ysquared = Y*Y; - double Ycubed = Ysquared*Y; - double Y4 = Ycubed*Y; + const double Y = (Year - 2000.0) / 1000.0; + const double Ysquared = Y*Y; + const double Ycubed = Ysquared*Y; + const double Y4 = Ycubed*Y; JDE = 2451900.05952 + 365242.74049*Y - 0.06223*Ysquared - 0.00823*Ycubed + 0.00032*Y4; } - double Correction; + double Correction = 0; do { - double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); - Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(270 - SunLongitude)); + const double SunLongitude = CAASun::ApparentEclipticLongitude(JDE, bHighPrecision); + Correction = 58 * sin(CAACoordinateTransformation::DegreesToRadians(270 - SunLongitude)); JDE += Correction; } while (fabs(Correction) > 0.00001); //Corresponds to an error of 0.86 of a second @@ -185,7 +186,7 @@ double CAAEquinoxesAndSolstices::SouthernSolstice(long Year, bool bHighPrecision return JDE; } -double CAAEquinoxesAndSolstices::LengthOfSpring(long Year, bool bNorthernHemisphere, bool bHighPrecision) +double CAAEquinoxesAndSolstices::LengthOfSpring(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept { if (bNorthernHemisphere) return NorthernSolstice(Year, bHighPrecision) - NorthwardEquinox(Year, bHighPrecision); @@ -193,7 +194,7 @@ double CAAEquinoxesAndSolstices::LengthOfSpring(long Year, bool bNorthernHemisph return SouthernSolstice(Year, bHighPrecision) - SouthwardEquinox(Year, bHighPrecision); } -double CAAEquinoxesAndSolstices::LengthOfSummer(long Year, bool bNorthernHemisphere, bool bHighPrecision) +double CAAEquinoxesAndSolstices::LengthOfSummer(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept { if (bNorthernHemisphere) return SouthwardEquinox(Year, bHighPrecision) - NorthernSolstice(Year, bHighPrecision); @@ -201,10 +202,10 @@ double CAAEquinoxesAndSolstices::LengthOfSummer(long Year, bool bNorthernHemisph { //The Summer season wraps around into the following year for the southern hemisphere return NorthwardEquinox(Year + 1, bHighPrecision) - SouthernSolstice(Year, bHighPrecision); - } + } } -double CAAEquinoxesAndSolstices::LengthOfAutumn(long Year, bool bNorthernHemisphere, bool bHighPrecision) +double CAAEquinoxesAndSolstices::LengthOfAutumn(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept { if (bNorthernHemisphere) return SouthernSolstice(Year, bHighPrecision) - SouthwardEquinox(Year, bHighPrecision); @@ -212,7 +213,7 @@ double CAAEquinoxesAndSolstices::LengthOfAutumn(long Year, bool bNorthernHemisph return NorthernSolstice(Year, bHighPrecision) - NorthwardEquinox(Year, bHighPrecision); } -double CAAEquinoxesAndSolstices::LengthOfWinter(long Year, bool bNorthernHemisphere, bool bHighPrecision) +double CAAEquinoxesAndSolstices::LengthOfWinter(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept { if (bNorthernHemisphere) { diff --git a/Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.h b/Sources/AAPlus/include/AAEquinoxesAndSolstices.h old mode 100755 new mode 100644 similarity index 83% rename from Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.h rename to Sources/AAPlus/include/AAEquinoxesAndSolstices.h index cf45473..4aad103 --- a/Vendor/AA+/1.6.3/AAEquinoxesAndSolstices.h +++ b/Sources/AAPlus/include/AAEquinoxesAndSolstices.h @@ -1,9 +1,9 @@ /* -Module : AAEQUINOXESANDSOLTICES.H +Module : AAEquinoxesAndSoltices.h Purpose: Implementation for the algorithms to calculate the dates of the Equinoxes and Solstices Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,14 +38,14 @@ class AAPLUS_EXT_CLASS CAAEquinoxesAndSolstices { public: //Static methods - static double NorthwardEquinox(long Year, bool bHighPrecision); - static double NorthernSolstice(long Year, bool bHighPrecision); - static double SouthwardEquinox(long Year, bool bHighPrecision); - static double SouthernSolstice(long Year, bool bHighPrecision); - static double LengthOfSpring(long Year, bool bNorthernHemisphere, bool bHighPrecision); - static double LengthOfSummer(long Year, bool bNorthernHemisphere, bool bHighPrecision); - static double LengthOfAutumn(long Year, bool bNorthernHemisphere, bool bHighPrecision); - static double LengthOfWinter(long Year, bool bNorthernHemisphere, bool bHighPrecision); + static double NorthwardEquinox(long Year, bool bHighPrecision) noexcept; + static double NorthernSolstice(long Year, bool bHighPrecision) noexcept; + static double SouthwardEquinox(long Year, bool bHighPrecision) noexcept; + static double SouthernSolstice(long Year, bool bHighPrecision) noexcept; + static double LengthOfSpring(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept; + static double LengthOfSummer(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept; + static double LengthOfAutumn(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept; + static double LengthOfWinter(long Year, bool bNorthernHemisphere, bool bHighPrecision) noexcept; }; diff --git a/Sources/AAPlus/include/AAEquinoxesAndSolstices2.h b/Sources/AAPlus/include/AAEquinoxesAndSolstices2.h new file mode 100644 index 0000000..7e9e735 --- /dev/null +++ b/Sources/AAPlus/include/AAEquinoxesAndSolstices2.h @@ -0,0 +1,70 @@ +/* +Module : AAEquinoxesAndSoltices2.h +Purpose: Implementation for the algorithms to calculate the dates of the Equinoxes and Solstices (revised version) +Created: PJN / 28-09-2019 + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAEQUINOXESANDSOLSTICES2_H_ +#define __AAEQUINOXESANDSOLSTICES2_H_ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAEquinoxSolsticeDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + NorthwardEquinox = 1, + NorthernSolstice = 2, + SouthwardEquinox = 3, + SouthernSolstice = 4, + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Declination = 0; //Applicable for solstices only, the apparent declination of the Sun +}; + +class AAPLUS_EXT_CLASS CAAEquinoxesAndSolstices2 +{ +public: +//Static methods + static std::vector Calculate(double StartJD, double EndJD, double StepInterval = 0.007, bool bHighPrecision = false); +}; + + +#endif //#ifndef __AARISETRANSITSET2_H__ diff --git a/Vendor/AA+/1.6.3/AAFK5.cpp b/Sources/AAPlus/include/AAFK5.cpp old mode 100755 new mode 100644 similarity index 69% rename from Vendor/AA+/1.6.3/AAFK5.cpp rename to Sources/AAPlus/include/AAFK5.cpp index 4f8e809..7c9fc7e --- a/Vendor/AA+/1.6.3/AAFK5.cpp +++ b/Sources/AAPlus/include/AAFK5.cpp @@ -1,10 +1,10 @@ /* -Module : AAFK5.CPP +Module : AAFK5.cpp Purpose: Implementation for the algorithms to convert to the FK5 standard reference frame Created: PJN / 29-12-2003 History: None -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -31,32 +31,32 @@ using namespace std; /////////////////////// Implementation //////////////////////////////////////// -double CAAFK5::CorrectionInLongitude(double Longitude, double Latitude, double JD) +double CAAFK5::CorrectionInLongitude(double Longitude, double Latitude, double JD) noexcept { - double T = (JD - 2451545) / 36525; + const double T = (JD - 2451545) / 36525; double Ldash = Longitude - 1.397*T - 0.00031*T*T; //Convert to radians Ldash = CAACoordinateTransformation::DegreesToRadians(Ldash); Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); - double value = -0.09033 + 0.03916*(std::cos(Ldash) + std::sin(Ldash))*tan(Latitude); + const double value = -0.09033 + 0.03916*(std::cos(Ldash) + std::sin(Ldash))*tan(Latitude); return CAACoordinateTransformation::DMSToDegrees(0, 0, value); } -double CAAFK5::CorrectionInLatitude(double Longitude, double JD) +double CAAFK5::CorrectionInLatitude(double Longitude, double JD) noexcept { - double T = (JD - 2451545) / 36525; + const double T = (JD - 2451545) / 36525; double Ldash = Longitude - 1.397*T - 0.00031*T*T; //Convert to radians Ldash = CAACoordinateTransformation::DegreesToRadians(Ldash); - double value = 0.03916*(std::cos(Ldash) - std::sin(Ldash)); + const double value = 0.03916*(std::cos(Ldash) - std::sin(Ldash)); return CAACoordinateTransformation::DMSToDegrees(0, 0, value); } -CAA3DCoordinate CAAFK5::ConvertVSOPToFK5J2000(const CAA3DCoordinate& value) +CAA3DCoordinate CAAFK5::ConvertVSOPToFK5J2000(const CAA3DCoordinate& value) noexcept { CAA3DCoordinate result; result.X = value.X + 0.000000440360 * value.Y - 0.000000190919 * value.Z; @@ -66,7 +66,7 @@ CAA3DCoordinate CAAFK5::ConvertVSOPToFK5J2000(const CAA3DCoordinate& value) return result; } -CAA3DCoordinate CAAFK5::ConvertVSOPToFK5B1950(const CAA3DCoordinate& value) +CAA3DCoordinate CAAFK5::ConvertVSOPToFK5B1950(const CAA3DCoordinate& value) noexcept { CAA3DCoordinate result; result.X = 0.999925702634 * value.X + 0.012189716217 * value.Y + 0.000011134016 * value.Z; @@ -76,11 +76,11 @@ CAA3DCoordinate CAAFK5::ConvertVSOPToFK5B1950(const CAA3DCoordinate& value) return result; } -CAA3DCoordinate CAAFK5::ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& value, double JDEquinox) +CAA3DCoordinate CAAFK5::ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& value, double JDEquinox) noexcept { - double t = (JDEquinox - 2451545.0) / 36525; - double tsquared = t*t; - double tcubed = tsquared * t; + const double t = (JDEquinox - 2451545.0) / 36525; + const double tsquared = t*t; + const double tcubed = tsquared * t; double sigma = 2306.2181*t + 0.30188*tsquared + 0.017988*tcubed; sigma = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, sigma)); @@ -91,22 +91,22 @@ CAA3DCoordinate CAAFK5::ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& value, double phi = 2004.3109*t - 0.42665*tsquared - 0.041833*tcubed; phi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, phi)); - double cossigma = std::cos(sigma); - double coszeta = std::cos(zeta); - double cosphi = std::cos(phi); - double sinsigma = std::sin(sigma); - double sinzeta = std::sin(zeta); - double sinphi = std::sin(phi); - - double xx = cossigma * coszeta * cosphi -sinsigma*sinzeta; - double xy = sinsigma * coszeta + cossigma * sinzeta * cosphi; - double xz = cossigma * sinphi; - double yx = -cossigma * sinzeta - sinsigma * coszeta * cosphi; - double yy = cossigma * coszeta - sinsigma * sinzeta * cosphi; - double yz = -sinsigma * sinphi; - double zx = -coszeta * sinphi; - double zy = -sinzeta * sinphi; - double zz = cosphi; + const double cossigma = std::cos(sigma); + const double coszeta = std::cos(zeta); + const double cosphi = std::cos(phi); + const double sinsigma = std::sin(sigma); + const double sinzeta = std::sin(zeta); + const double sinphi = std::sin(phi); + + const double xx = cossigma * coszeta * cosphi -sinsigma*sinzeta; + const double xy = sinsigma * coszeta + cossigma * sinzeta * cosphi; + const double xz = cossigma * sinphi; + const double yx = -cossigma * sinzeta - sinsigma * coszeta * cosphi; + const double yy = cossigma * coszeta - sinsigma * sinzeta * cosphi; + const double yz = -sinsigma * sinphi; + const double zx = -coszeta * sinphi; + const double zy = -sinzeta * sinphi; + const double zz = cosphi; CAA3DCoordinate result; result.X = xx * value.X + yx * value.Y + zx * value.Z; diff --git a/Vendor/AA+/1.6.3/AAFK5.h b/Sources/AAPlus/include/AAFK5.h old mode 100755 new mode 100644 similarity index 78% rename from Vendor/AA+/1.6.3/AAFK5.h rename to Sources/AAPlus/include/AAFK5.h index 64eabda..9651403 --- a/Vendor/AA+/1.6.3/AAFK5.h +++ b/Sources/AAPlus/include/AAFK5.h @@ -1,9 +1,9 @@ /* -Module : AAFK5.H +Module : AAFK5.h Purpose: Implementation for the algorithms to convert to the FK5 standard reference frame Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -43,11 +43,11 @@ class AAPLUS_EXT_CLASS CAAFK5 { public: //Static methods - static double CorrectionInLongitude(double Longitude, double Latitude, double JD); - static double CorrectionInLatitude(double Longitude, double JD); - static CAA3DCoordinate ConvertVSOPToFK5J2000(const CAA3DCoordinate& value); - static CAA3DCoordinate ConvertVSOPToFK5B1950(const CAA3DCoordinate& value); - static CAA3DCoordinate ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& value, double JDEquinox); + static double CorrectionInLongitude(double Longitude, double Latitude, double JD) noexcept; + static double CorrectionInLatitude(double Longitude, double JD) noexcept; + static CAA3DCoordinate ConvertVSOPToFK5J2000(const CAA3DCoordinate& value) noexcept; + static CAA3DCoordinate ConvertVSOPToFK5B1950(const CAA3DCoordinate& value) noexcept; + static CAA3DCoordinate ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& value, double JDEquinox) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAGalileanMoons.h b/Sources/AAPlus/include/AAGalileanMoons.h old mode 100755 new mode 100644 similarity index 65% rename from Vendor/AA+/1.6.3/AAGalileanMoons.h rename to Sources/AAPlus/include/AAGalileanMoons.h index ecde2c2..a3be9e9 --- a/Vendor/AA+/1.6.3/AAGalileanMoons.h +++ b/Sources/AAPlus/include/AAGalileanMoons.h @@ -1,9 +1,9 @@ /* -Module : AAGALILEANMOONS.H +Module : AAGalileanMoons.h Purpose: Implementation for the algorithms which obtain the positions of the 4 great moons of Jupiter Created: PJN / 06-01-2004 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -42,31 +42,18 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAGalileanMoonDetail { public: -//Constructors / Destructors - CAAGalileanMoonDetail() : MeanLongitude(0), - TrueLongitude(0), - TropicalLongitude(0), - EquatorialLatitude(0), - r(0), - bInTransit(false), - bInOccultation(false), - bInEclipse(false), - bInShadowTransit(false) - { - }; - //Member variables - double MeanLongitude; - double TrueLongitude; - double TropicalLongitude; - double EquatorialLatitude; - double r; + double MeanLongitude = 0; + double TrueLongitude = 0; + double TropicalLongitude = 0; + double EquatorialLatitude = 0; + double r = 0; CAA3DCoordinate TrueRectangularCoordinates; CAA3DCoordinate ApparentRectangularCoordinates; - bool bInTransit; - bool bInOccultation; - bool bInEclipse; - bool bInShadowTransit; + bool bInTransit = false; + bool bInOccultation = false; + bool bInEclipse = false; + bool bInShadowTransit = false; }; class AAPLUS_EXT_CLASS CAAGalileanMoonsDetails @@ -83,12 +70,12 @@ class AAPLUS_EXT_CLASS CAAGalileanMoons { public: //Static methods - static CAAGalileanMoonsDetails Calculate(double JD, bool bHighPrecision); + static CAAGalileanMoonsDetails Calculate(double JD, bool bHighPrecision) noexcept; protected: - static CAAGalileanMoonsDetails CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision); - static void Rotations(double X, double Y, double Z, double I, double psi, double i, double omega, double lambda0, double beta0, double& A6, double& B6, double& C6); - static void FillInPhenomenaDetails(CAAGalileanMoonDetail& detail); + static CAAGalileanMoonsDetails CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) noexcept; + static void Rotations(double X, double Y, double Z, double I, double psi, double i, double omega, double lambda0, double beta0, double& A6, double& B6, double& C6) noexcept; + static void FillInPhenomenaDetails(CAAGalileanMoonDetail& detail) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAGlobe.h b/Sources/AAPlus/include/AAGlobe.h old mode 100755 new mode 100644 similarity index 64% rename from Vendor/AA+/1.6.3/AAGlobe.h rename to Sources/AAPlus/include/AAGlobe.h index 54c2979..8c705be --- a/Vendor/AA+/1.6.3/AAGlobe.h +++ b/Sources/AAPlus/include/AAGlobe.h @@ -1,9 +1,9 @@ /* -Module : AAGLOBE.H +Module : AAGlobe.h Purpose: Implementation for the algorithms for the Earth's Globe Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,11 +38,11 @@ class AAPLUS_EXT_CLASS CAAGlobe { public: //Static methods - static double RhoSinThetaPrime(double GeographicalLatitude, double Height); - static double RhoCosThetaPrime(double GeographicalLatitude, double Height); - static double RadiusOfParallelOfLatitude(double GeographicalLatitude); - static double RadiusOfCurvature(double GeographicalLatitude); - static double DistanceBetweenPoints(double GeographicalLatitude1, double GeographicalLongitude1, double GeographicalLatitude2, double GeographicalLongitude2); + static double RhoSinThetaPrime(double GeographicalLatitude, double Height) noexcept; + static double RhoCosThetaPrime(double GeographicalLatitude, double Height) noexcept; + static double RadiusOfParallelOfLatitude(double GeographicalLatitude) noexcept; + static double RadiusOfCurvature(double GeographicalLatitude) noexcept; + static double DistanceBetweenPoints(double GeographicalLatitude1, double GeographicalLongitude1, double GeographicalLatitude2, double GeographicalLongitude2) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAIlluminatedFraction.h b/Sources/AAPlus/include/AAIlluminatedFraction.h old mode 100755 new mode 100644 similarity index 62% rename from Vendor/AA+/1.6.3/AAIlluminatedFraction.h rename to Sources/AAPlus/include/AAIlluminatedFraction.h index 6333042..c36e33a --- a/Vendor/AA+/1.6.3/AAIlluminatedFraction.h +++ b/Sources/AAPlus/include/AAIlluminatedFraction.h @@ -1,9 +1,9 @@ /* -Module : AAILLUMINATEDFRACTION.H +Module : AAIlluminatedFraction.h Purpose: Implementation for the algorithms for a Planet's Phase Angle, Illuminated Fraction and Magnitude Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,26 +38,31 @@ class AAPLUS_EXT_CLASS CAAIlluminatedFraction { public: //Static methods - static double PhaseAngle(double r, double R, double Delta); - static double PhaseAngle(double R, double R0, double B, double L, double L0, double Delta); - static double PhaseAngleRectangular(double x, double y, double z, double B, double L, double Delta); - static double IlluminatedFraction(double PhaseAngle); - static double IlluminatedFraction(double r, double R, double Delta); - static double MercuryMagnitudeMuller(double r, double Delta, double i); - static double VenusMagnitudeMuller(double r, double Delta, double i); - static double MarsMagnitudeMuller(double r, double Delta, double i); - static double JupiterMagnitudeMuller(double r, double Delta); - static double SaturnMagnitudeMuller(double r, double Delta, double DeltaU, double B); - static double UranusMagnitudeMuller(double r, double Delta); - static double NeptuneMagnitudeMuller(double r, double Delta); - static double MercuryMagnitudeAA(double r, double Delta, double i); - static double VenusMagnitudeAA(double r, double Delta, double i); - static double MarsMagnitudeAA(double r, double Delta, double i); - static double JupiterMagnitudeAA(double r, double Delta, double i); - static double SaturnMagnitudeAA(double r, double Delta, double DeltaU, double B); - static double UranusMagnitudeAA(double r, double Delta); - static double NeptuneMagnitudeAA(double r, double Delta); - static double PlutoMagnitudeAA(double r, double Delta); + static double PhaseAngle(double r, double R, double Delta) noexcept; + static double PhaseAngle(double R, double R0, double B, double L, double L0, double Delta) noexcept; + static double PhaseAngleRectangular(double x, double y, double z, double B, double L, double Delta) noexcept; + static double IlluminatedFraction(double PhaseAngle) noexcept; + + constexpr static double IlluminatedFraction(double r, double R, double Delta) noexcept + { + return (((r + Delta)*(r + Delta) - R * R) / (4 * r*Delta)); + } + + static double MercuryMagnitudeMuller(double r, double Delta, double i) noexcept; + static double VenusMagnitudeMuller(double r, double Delta, double i) noexcept; + static double MarsMagnitudeMuller(double r, double Delta, double i) noexcept; + static double JupiterMagnitudeMuller(double r, double Delta) noexcept; + static double SaturnMagnitudeMuller(double r, double Delta, double DeltaU, double B) noexcept; + static double UranusMagnitudeMuller(double r, double Delta) noexcept; + static double NeptuneMagnitudeMuller(double r, double Delta) noexcept; + static double MercuryMagnitudeAA(double r, double Delta, double i) noexcept; + static double VenusMagnitudeAA(double r, double Delta, double i) noexcept; + static double MarsMagnitudeAA(double r, double Delta, double i) noexcept; + static double JupiterMagnitudeAA(double r, double Delta, double i) noexcept; + static double SaturnMagnitudeAA(double r, double Delta, double DeltaU, double B) noexcept; + static double UranusMagnitudeAA(double r, double Delta) noexcept; + static double NeptuneMagnitudeAA(double r, double Delta) noexcept; + static double PlutoMagnitudeAA(double r, double Delta) noexcept; }; diff --git a/Sources/AAPlus/include/AAInterpolate.cpp b/Sources/AAPlus/include/AAInterpolate.cpp new file mode 100644 index 0000000..c9a89d5 --- /dev/null +++ b/Sources/AAPlus/include/AAInterpolate.cpp @@ -0,0 +1,223 @@ +/* +Module : AAInterpolate.cpp +Purpose: Implementation for the algorithms for Interpolation +Created: PJN / 29-12-2003 +History: None + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +////////////////////// Includes /////////////////////////////////////////////// + +#include "stdafx.h" +#include "AAInterpolate.h" +#include +#include +using namespace std; + + +////////////////////// Implementation ///////////////////////////////////////// + +double CAAInterpolate::LagrangeInterpolate(double X, int n, const double* pX, const double* pY) noexcept +{ + //Validate our parameters + assert(pX); + assert(pY); +#ifdef __analysis_assume +#pragma warning(suppress: 26477) + __analysis_assume(pX); +#pragma warning(suppress: 26477) + __analysis_assume(pY); +#endif //#ifdef __analysis_assume + + double V = 0; + + for (int i=1; i<=n; i++) + { + double C = 1; + for (int j=1; j<=n; j++) + { + if (j != i) + { + #ifdef _MSC_VER + #pragma warning(suppress : 26481) + #endif //#ifdef _MSC_VER + C = C*(X - pX[j-1]) / (pX[i-1] - pX[j-1]); + } + } + + #ifdef _MSC_VER + #pragma warning(suppress : 26481) + #endif //#ifdef _MSC_VER + V += C*pY[i - 1]; + } + + return V; +} + +double CAAInterpolate::Extremum(double Y1, double Y2, double Y3, double& nm) noexcept +{ + const double a = Y2 - Y1; + const double b = Y3 - Y2; + const double c = Y1 + Y3 - 2*Y2; + + double ab = a + b; + + nm = -ab/(2*c); + return (Y2 - ((ab*ab)/(8*c))); +} + +double CAAInterpolate::Extremum(double Y1, double Y2, double Y3, double Y4, double Y5, double& nm) noexcept +{ + const double A = Y2 - Y1; + const double B = Y3 - Y2; + const double C = Y4 - Y3; + const double D = Y5 - Y4; + const double E = B - A; + const double F = C - B; + const double G = D - C; + const double H = F - E; + const double J = G - F; + const double K = J - H; + + bool bRecalc = true; + double nmprev = 0; + nm = nmprev; + while (bRecalc) + { + double NMprev2 = nmprev*nmprev; + double NMprev3 = NMprev2*nmprev; + nm = (6*B + 6*C - H - J +3*NMprev2*(H+J) + 2*NMprev3*K) / (K - 12*F); + + bRecalc = (fabs(nm - nmprev) > 1e-12); + if (bRecalc) + nmprev = nm; + } + + return Interpolate(nm, Y1, Y2, Y3, Y4, Y5); +} + +double CAAInterpolate::Zero(double Y1, double Y2, double Y3) noexcept +{ + const double a = Y2 - Y1; + const double b = Y3 - Y2; + const double c = Y1 + Y3 - 2*Y2; + + bool bRecalc = true; + double n0prev = 0; + double n0 = n0prev; + while (bRecalc) + { + n0 = -2*Y2/(a + b + c*n0prev); + + bRecalc = (fabs(n0 - n0prev) > 1e-12); + if (bRecalc) + n0prev = n0; + } + + return n0; +} + +double CAAInterpolate::Zero(double Y1, double Y2, double Y3, double Y4, double Y5) noexcept +{ + const double A = Y2 - Y1; + const double B = Y3 - Y2; + const double C = Y4 - Y3; + const double D = Y5 - Y4; + const double E = B - A; + const double F = C - B; + const double G = D - C; + const double H = F - E; + const double J = G - F; + const double K = J - H; + + bool bRecalc = true; + double n0prev = 0; + double n0 = n0prev; + while (bRecalc) + { + const double n0prev2 = n0prev*n0prev; + const double n0prev3 = n0prev2*n0prev; + const double n0prev4 = n0prev3*n0prev; + + n0 = (-24*Y3 + n0prev2*(K - 12*F) - 2*n0prev3*(H+J) - n0prev4*K)/(2*(6*B + 6*C - H - J)); + + bRecalc = (fabs(n0 - n0prev) > 1e-12); + if (bRecalc) + n0prev = n0; + } + + return n0; +} + + +double CAAInterpolate::Zero2(double Y1, double Y2, double Y3) noexcept +{ + const double a = Y2 - Y1; + const double b = Y3 - Y2; + const double c = Y1 + Y3 - 2*Y2; + + bool bRecalc = true; + double n0prev = 0; + double n0 = n0prev; + while (bRecalc) + { + const double deltan0 = - (2*Y2 + n0prev*(a + b + c*n0prev)) / (a + b + 2*c*n0prev); + n0 = n0prev + deltan0; + + bRecalc = (fabs(deltan0) > 1e-12); + if (bRecalc) + n0prev = n0; + } + + return n0; +} + +double CAAInterpolate::Zero2(double Y1, double Y2, double Y3, double Y4, double Y5) noexcept +{ + const double A = Y2 - Y1; + const double B = Y3 - Y2; + const double C = Y4 - Y3; + const double D = Y5 - Y4; + const double E = B - A; + const double F = C - B; + const double G = D - C; + const double H = F - E; + const double J = G - F; + const double K = J - H; + const double M = K / 24; + const double N = (H + J)/12; + const double P = F/2 - M; + const double Q = (B+C)/2 - N; + + bool bRecalc = true; + double n0prev = 0; + double n0 = n0prev; + while (bRecalc) + { + const double n0prev2 = n0prev*n0prev; + const double n0prev3 = n0prev2*n0prev; + const double n0prev4 = n0prev3*n0prev; + + const double deltan0 = - (M * n0prev4 + N*n0prev3 + P*n0prev2 + Q*n0prev + Y3) / (4*M*n0prev3 + 3*N*n0prev2 + 2*P*n0prev + Q); + n0 = n0prev + deltan0; + + bRecalc = (fabs(deltan0) > 1e-12); + if (bRecalc) + n0prev = n0; + } + + return n0; +} diff --git a/Sources/AAPlus/include/AAInterpolate.h b/Sources/AAPlus/include/AAInterpolate.h new file mode 100644 index 0000000..1e77c15 --- /dev/null +++ b/Sources/AAPlus/include/AAInterpolate.h @@ -0,0 +1,92 @@ +/* +Module : AAInterpolate.h +Purpose: Implementation for the algorithms for Interpolation +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAINTERPOLATE_H__ +#define __AAINTERPOLATE_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAInterpolate +{ +public: +//Static methods + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double Interpolate(double n, double Y1, double Y2, double Y3) noexcept + { + const double a = Y2 - Y1; + const double b = Y3 - Y2; + const double c = Y1 + Y3 - 2 * Y2; + + return Y2 + n / 2 * (a + b + n * c); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double Interpolate(double n, double Y1, double Y2, double Y3, double Y4, double Y5) noexcept + { + const double A = Y2 - Y1; + const double B = Y3 - Y2; + const double C = Y4 - Y3; + const double D = Y5 - Y4; + const double E = B - A; + const double F = C - B; + const double G = D - C; + const double H = F - E; + const double J = G - F; + const double K = J - H; + + const double N2 = n * n; + const double N3 = N2 * n; + const double N4 = N3 * n; + + return Y3 + n * ((B + C) / 2 - (H + J) / 12) + N2 * (F / 2 - K / 24) + N3 * ((H + J) / 12) + N4 * (K / 24); + } + + constexpr static double InterpolateToHalves(double Y1, double Y2, double Y3, double Y4) + { + return (9 * (Y2 + Y3) - Y1 - Y4) / 16; + } + + static double LagrangeInterpolate(double X, int n, const double* pX, const double* pY) noexcept; + static double Extremum(double Y1, double Y2, double Y3, double& nm) noexcept; + static double Extremum(double Y1, double Y2, double Y3, double Y4, double Y5, double& nm) noexcept; + static double Zero(double Y1, double Y2, double Y3) noexcept; + static double Zero(double Y1, double Y2, double Y3, double Y4, double Y5) noexcept; + static double Zero2(double Y1, double Y2, double Y3) noexcept; + static double Zero2(double Y1, double Y2, double Y3, double Y4, double Y5) noexcept; +}; + + +#endif //#ifndef __AAINTERPOLATE_H__ diff --git a/Vendor/AA+/1.6.3/AAJewishCalendar.h b/Sources/AAPlus/include/AAJewishCalendar.h old mode 100755 new mode 100644 similarity index 60% rename from Vendor/AA+/1.6.3/AAJewishCalendar.h rename to Sources/AAPlus/include/AAJewishCalendar.h index 6d0f771..3c8ec7b --- a/Vendor/AA+/1.6.3/AAJewishCalendar.h +++ b/Sources/AAPlus/include/AAJewishCalendar.h @@ -1,19 +1,19 @@ /* -Module : AAJEWISHCALENDAR.H +Module : AAJewishCalendar.h Purpose: Implementation for the algorithms which convert between the Gregorian, Julian and the Jewish calendar Created: PJN / 04-02-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. Copyright / Usage Details: -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. */ @@ -43,9 +43,19 @@ class AAPLUS_EXT_CLASS CAAJewishCalendar { public: //Static methods - static CAACalendarDate DateOfPesach(long Year, bool bGregorianCalendar = true); - static bool IsLeap(long Year); - static long DaysInYear(long Year); + static CAACalendarDate DateOfPesach(long Year, bool bGregorianCalendar = true) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static bool IsLeap(long Year) noexcept + { + const long ymod19 = Year % 19; + + return (ymod19 == 0) || (ymod19 == 3) || (ymod19 == 6) || (ymod19 == 8) || (ymod19 == 11) || (ymod19 == 14) || (ymod19 == 17); + } + + static long DaysInYear(long Year) noexcept; }; diff --git a/Sources/AAPlus/include/AAJupiter.cpp b/Sources/AAPlus/include/AAJupiter.cpp new file mode 100644 index 0000000..cca140f --- /dev/null +++ b/Sources/AAPlus/include/AAJupiter.cpp @@ -0,0 +1,793 @@ +/* +Module : AAJupiter.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Jupiter +Created: PJN / 29-12-2003 +History: PJN / 31-05-2004 1) Added a missing coefficient to g_L1JupiterCoefficients array as used by + CAAJupiter::EclipticLongitude. Thanks to Brian Orme for reporting this problem. + 2) Added missing g_B5JupiterCoefficients[] in CAAJupiter::EclipticLatitude. Again + thanks to Brian Orme for reporting this problem. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the thirty ninth coefficient used to calculate + the L0 term for the ecliptic longitude of Jupiter. Thanks to Isaac Clark for + reporting this issue. + 2. Fixed a transcription error in the sixteenth coefficient used to calculate the + R1 term for the ecliptic radius vector of Jupiter. Thanks to Isaac Clark for + reporting this issue. + 3. Spot tests indicate that these two changes only affected the the ecliptic + longitude in the seventh decimal place and the ecliptic radius vector in the + seventh decimal place. + 4. Updated copyright details + PJN / 16-09-2015 1. CAAJupiter::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAJupiter.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "stdafx.h" +#include "AAJupiter.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_JUP.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +////////////////////// Macros / Defines /////////////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0JupiterCoefficients +{ { + { 59954691, 0, 0 }, + { 9695899, 5.0619179, 529.6909651 }, + { 573610, 1.444062, 7.113547 }, + { 306389, 5.417347, 1059.381930 }, + { 97178, 4.14265, 632.78374 }, + { 72903, 3.64043, 522.57742 }, + { 64264, 3.41145, 103.09277 }, + { 39806, 2.29377, 419.48464 }, + { 38858, 1.27232, 316.39187 }, + { 27965, 1.78455, 536.80451 }, + { 13590, 5.77481, 1589.07290 }, + { 8769, 3.6300, 949.1756 }, + { 8246, 3.5823, 206.1855 }, + { 7368, 5.0810, 735.8765 }, + { 6263, 0.0250, 213.2991 }, + { 6114, 4.5132, 1162.4747 }, + { 5305, 4.1863, 1052.2684 }, + { 5305, 1.3067, 14.2271 }, + { 4905, 1.3208, 110.2063 }, + { 4647, 4.6996, 3.9322 }, + { 3045, 4.3168, 426.5982 }, + { 2610, 1.5667, 846.0828 }, + { 2028, 1.0638, 3.1814 }, + { 1921, 0.9717, 639.8973 }, + { 1765, 2.1415, 1066.4955 }, + { 1723, 3.8804, 1265.5675 }, + { 1633, 3.5820, 515.4639 }, + { 1432, 4.2968, 625.6702 }, + { 973, 4.098, 95.979 }, + { 884, 2.437, 412.371 }, + { 733, 6.085, 838.969 }, + { 731, 3.806, 1581.959 }, + { 709, 1.293, 742.990 }, + { 692, 6.134, 2118.764 }, + { 614, 4.109, 1478.867 }, + { 582, 4.540, 309.278 }, + { 495, 3.756, 323.505 }, + { 441, 2.958, 454.909 }, + { 417, 1.036, 2.448 }, + { 390, 4.897, 1692.166 }, + { 376, 4.703, 1368.660 }, + { 341, 5.715, 533.623 }, + { 330, 4.740, 0.048 }, + { 262, 1.877, 0.963 }, + { 261, 0.820, 380.128 }, + { 257, 3.724, 199.072 }, + { 244, 5.220, 728.763 }, + { 235, 1.227, 909.819 }, + { 220, 1.651, 543.918 }, + { 207, 1.855, 525.759 }, + { 202, 1.807, 1375.774 }, + { 197, 5.293, 1155.361 }, + { 175, 3.730, 942.062 }, + { 175, 3.226, 1898.351 }, + { 175, 5.910, 956.289 }, + { 158, 4.365, 1795.258 }, + { 151, 3.906, 74.782 }, + { 149, 4.377, 1685.052 }, + { 141, 3.136, 491.558 }, + { 138, 1.318, 1169.588 }, + { 131, 4.169, 1045.155 }, + { 117, 2.500, 1596.186 }, + { 117, 3.389, 0.521 }, + { 106, 4.554, 526.510 } +} }; + +constexpr array g_L1JupiterCoefficients +{ { + { 52993480757.0, 0, 0 }, + { 489741, 4.220667, 529.690965 }, + { 228919, 6.026475, 7.113547 }, + { 27655, 4.57266, 1059.38193 }, + { 20721, 5.45939, 522.57742 }, + { 12106, 0.16986, 536.80451 }, + { 6068, 4.4242, 103.0928 }, + { 5434, 3.9848, 419.4846 }, + { 4238, 5.8901, 14.2271 }, + { 2212, 5.2677, 206.1855 }, + { 1746, 4.9267, 1589.0729 }, + { 1296, 5.5513, 3.1814 }, + { 1173, 5.8565, 1052.2684 }, + { 1163, 0.5145, 3.9322 }, + { 1099, 5.3070, 515.4639 }, + { 1007, 0.4648, 735.8765 }, + { 1004, 3.1504, 426.5982 }, + { 848, 5.758, 110.206 }, + { 827, 4.803, 213.299 }, + { 816, 0.586, 1066.495 }, + { 725, 5.518, 639.897 }, + { 568, 5.989, 625.670 }, + { 474, 4.132, 412.371 }, + { 413, 5.737, 95.979 }, + { 345, 4.242, 632.784 }, + { 336, 3.732, 1162.475 }, + { 234, 4.035, 949.176 }, + { 234, 6.243, 309.278 }, + { 199, 1.505, 838.969 }, + { 195, 2.219, 323.505 }, + { 187, 6.086, 742.990 }, + { 184, 6.280, 543.918 }, + { 171, 5.417, 199.072 }, + { 131, 0.626, 728.763 }, + { 115, 0.680, 846.083 }, + { 115, 5.286, 2118.764 }, + { 108, 4.493, 956.289 }, + { 80, 5.82, 1045.15 }, + { 72, 5.34, 942.06 }, + { 70, 5.97, 532.87 }, + { 67, 5.73, 21.34 }, + { 66, 0.13, 526.51 }, + { 65, 6.09, 1581.96 }, + { 59, 0.59, 1155.36 }, + { 58, 0.99, 1596.19 }, + { 57, 5.97, 1169.59 }, + { 57, 1.41, 533.62 }, + { 55, 5.43, 10.29 }, + { 52, 5.73, 117.32 }, + { 52, 0.23, 1368.66 }, + { 50, 6.08, 525.76 }, + { 47, 3.63, 1478.87 }, + { 47, 0.51, 1265.57 }, + { 40, 4.16, 1692.17 }, + { 34, 0.10, 302.16 }, + { 33, 5.04, 220.41 }, + { 32, 5.37, 508.35 }, + { 29, 5.42, 1272.68 }, + { 29, 3.36, 4.67 }, + { 29, 0.76, 88.87 }, + { 25, 1.61, 831.86 } +} }; + +constexpr array g_L2JupiterCoefficients +{ { + { 47234, 4.32148, 7.11355 }, + { 38966, 0, 0 }, + { 30629, 2.93021, 529.69097 }, + { 3189, 1.0550, 522.5774 }, + { 2729, 4.8455, 536.8045 }, + { 2723, 3.4141, 1059.3819 }, + { 1721, 4.1873, 14.2271 }, + { 383, 5.768, 419.485 }, + { 378, 0.760, 515.464 }, + { 367, 6.055, 103.093 }, + { 337, 3.786, 3.181 }, + { 308, 0.694, 206.186 }, + { 218, 3.814, 1589.073 }, + { 199, 5.340, 1066.495 }, + { 197, 2.484, 3.932 }, + { 156, 1.406, 1052.268 }, + { 146, 3.814, 639.897 }, + { 142, 1.634, 426.598 }, + { 130, 5.837, 412.371 }, + { 117, 1.414, 625.670 }, + { 97, 4.03, 110.21 }, + { 91, 1.11, 95.98 }, + { 87, 2.52, 632.78 }, + { 79, 4.64, 543.92 }, + { 72, 2.22, 735.88 }, + { 58, 0.83, 199.07 }, + { 57, 3.12, 213.30 }, + { 49, 1.67, 309.28 }, + { 40, 4.02, 21.34 }, + { 40, 0.62, 323.51 }, + { 36, 2.33, 728.76 }, + { 29, 3.61, 10.29 }, + { 28, 3.24, 838.97 }, + { 26, 4.50, 742.99 }, + { 26, 2.51, 1162.47 }, + { 25, 1.22, 1045.15 }, + { 24, 3.01, 956.29 }, + { 19, 4.29, 532.87 }, + { 18, 0.81, 508.35 }, + { 17, 4.20, 2118.76 }, + { 17, 1.83, 526.51 }, + { 15, 5.81, 1596.19 }, + { 15, 0.68, 942.06 }, + { 15, 4.00, 117.32 }, + { 14, 5.95, 316.39 }, + { 14, 1.80, 302.16 }, + { 13, 2.52, 88.87 }, + { 13, 4.37, 1169.59 }, + { 11, 4.44, 525.76 }, + { 10, 1.72, 1581.96 }, + { 9, 2.18, 1155.36 }, + { 9, 3.29, 220.41 }, + { 9, 3.32, 831.86 }, + { 8, 5.76, 846.08 }, + { 8, 2.71, 533.62 }, + { 7, 2.18, 1265.57 }, + { 6, 0.50, 949.18 } +} }; + +constexpr array g_L3JupiterCoefficients +{ { + { 6502, 2.5986, 7.1135 }, + { 1357, 1.3464, 529.6910 }, + { 471, 2.475, 14.227 }, + { 417, 3.245, 536.805 }, + { 353, 2.974, 522.577 }, + { 155, 2.076, 1059.382 }, + { 87, 2.51, 515.46 }, + { 44, 0, 0 }, + { 34, 3.83, 1066.50 }, + { 28, 2.45, 206.19 }, + { 24, 1.28, 412.37 }, + { 23, 2.98, 543.92 }, + { 20, 2.10, 639.90 }, + { 20, 1.40, 419.48 }, + { 19, 1.59, 103.09 }, + { 17, 2.30, 21.34 }, + { 17, 2.60, 1589.07 }, + { 16, 3.15, 625.67 }, + { 16, 3.36, 1052.27 }, + { 13, 2.76, 95.98 }, + { 13, 2.54, 199.07 }, + { 13, 6.27, 426.60 }, + { 9, 1.76, 10.29 }, + { 9, 2.27, 110.21 }, + { 7, 3.43, 309.28 }, + { 7, 4.04, 728.76 }, + { 6, 2.52, 508.35 }, + { 5, 2.91, 1045.15 }, + { 5, 5.25, 323.51 }, + { 4, 4.30, 88.87 }, + { 4, 3.52, 302.16 }, + { 4, 4.09, 735.88 }, + { 3, 1.43, 956.29 }, + { 3, 4.36, 1596.19 }, + { 3, 1.25, 213.30 }, + { 3, 5.02, 838.97 }, + { 3, 2.24, 117.32 }, + { 2, 2.90, 742.99 }, + { 2, 2.36, 942.06 } +} }; + +constexpr array g_L4JupiterCoefficients +{ { + { 669, 0.853, 7.114 }, + { 114, 3.142, 0 }, + { 100, 0.743, 14.227 }, + { 50, 1.65, 536.80 }, + { 44, 5.82, 529.69 }, + { 32, 4.86, 522.58 }, + { 15, 4.29, 515.46 }, + { 9, 0.71, 1059.38 }, + { 5, 1.30, 543.92 }, + { 4, 2.32, 1066.50 }, + { 4, 0.48, 21.34 }, + { 3, 3.00, 412.37 }, + { 2, 0.40, 639.90 }, + { 2, 4.26, 199.07 }, + { 2, 4.91, 625.67 }, + { 2, 4.26, 206.19 }, + { 1, 5.26, 1052.27 }, + { 1, 4.72, 95.98 }, + { 1, 1.29, 1589.07 } +} }; + +constexpr array g_L5JupiterCoefficients +{ { + { 50, 5.26, 7.11 }, + { 16, 5.25, 14.23 }, + { 4, 0.01, 536.80 }, + { 2, 1.10, 522.58 }, + { 1, 3.14, 0 } +} }; + +constexpr array g_B0JupiterCoefficients +{ { + { 2268616, 3.5585261, 529.6909651 }, + { 110090, 0, 0 }, + { 109972, 3.908093, 1059.381930 }, + { 8101, 3.6051, 522.5774 }, + { 6438, 0.3063, 536.8045 }, + { 6044, 4.2588, 1589.0729 }, + { 1107, 2.9853, 1162.4747 }, + { 944, 1.675, 426.598 }, + { 942, 2.936, 1052.268 }, + { 894, 1.754, 7.114 }, + { 836, 5.179, 103.093 }, + { 767, 2.155, 632.784 }, + { 684, 3.678, 213.299 }, + { 629, 0.643, 1066.495 }, + { 559, 0.014, 846.083 }, + { 532, 2.703, 110.206 }, + { 464, 1.173, 949.176 }, + { 431, 2.608, 419.485 }, + { 351, 4.611, 2118.764 }, + { 132, 4.778, 742.990 }, + { 123, 3.350, 1692.166 }, + { 116, 1.387, 323.505 }, + { 115, 5.049, 316.392 }, + { 104, 3.701, 515.464 }, + { 103, 2.319, 1478.867 }, + { 102, 3.153, 1581.959 } +} }; + +constexpr array g_B1JupiterCoefficients +{ { + { 177352, 5.701665, 529.690965 }, + { 3230, 5.7794, 1059.3819 }, + { 3081, 5.4746, 522.5774 }, + { 2212, 4.7348, 536.8045 }, + { 1694, 3.1416, 0 }, + { 346, 4.746, 1052.268 }, + { 234, 5.189, 1066.495 }, + { 196, 6.186, 7.114 }, + { 150, 3.927, 1589.073 }, + { 114, 3.439, 632.784 }, + { 97, 2.91, 949.18 }, + { 82, 5.08, 1162.47 }, + { 77, 2.51, 103.09 }, + { 77, 0.61, 419.48 }, + { 74, 5.50, 515.46 }, + { 61, 5.45, 213.30 }, + { 50, 3.95, 735.88 }, + { 46, 0.54, 110.21 }, + { 45, 1.90, 846.08 }, + { 37, 4.70, 543.92 }, + { 36, 6.11, 316.39 }, + { 32, 4.92, 1581.96 } +} }; + +constexpr array g_B2JupiterCoefficients +{ { + { 8094, 1.4632, 529.6910 }, + { 813, 3.1416, 0 }, + { 742, 0.957, 522.577 }, + { 399, 2.899, 536.805 }, + { 342, 1.447, 1059.382 }, + { 74, 0.41, 1052.27 }, + { 46, 3.48, 1066.50 }, + { 30, 1.93, 1589.07 }, + { 29, 0.99, 515.46 }, + { 23, 4.27, 7.11 }, + { 14, 2.92, 543.92 }, + { 12, 5.22, 632.78 }, + { 11, 4.88, 949.18 }, + { 6, 6.21, 1045.15 } +} }; + +constexpr array g_B3JupiterCoefficients +{ { + { 252, 3.381, 529.691 }, + { 122, 2.733, 522.577 }, + { 49, 1.04, 536.80 }, + { 11, 2.31, 1052.27 }, + { 8, 2.77, 515.46 }, + { 7, 4.25, 1059.38 }, + { 6, 1.78, 1066.50 }, + { 4, 1.13, 543.92 }, + { 3, 3.14, 0 } +} }; + +constexpr array g_B4JupiterCoefficients +{ { + { 15, 4.53, 522.58 }, + { 5, 4.47, 529.69 }, + { 4, 5.44, 536.80 }, + { 3, 0, 0 }, + { 2, 4.52, 515.46 }, + { 1, 4.20, 1052.27 } +} }; + +constexpr array g_B5JupiterCoefficients +{ { + { 1, 0.09, 522.58 } +} }; + +constexpr array g_R0JupiterCoefficients +{ { + { 520887429, 0, 0 }, + { 25209327, 3.49108640, 529.69096509 }, + { 610600, 3.841154, 1059.381930 }, + { 282029, 2.574199, 632.783739 }, + { 187647, 2.075904, 522.577418 }, + { 86793, 0.71001, 419.48464 }, + { 72063, 0.21466, 536.80451 }, + { 65517, 5.97996, 316.39187 }, + { 30135, 2.16132, 949.17561 }, + { 29135, 1.67759, 103.09277 }, + { 23947, 0.27458, 7.11355 }, + { 23453, 3.54023, 735.87651 }, + { 22284, 4.19363, 1589.07290 }, + { 13033, 2.96043, 1162.47470 }, + { 12749, 2.71550, 1052.26838 }, + { 9703, 1.9067, 206.1855 }, + { 9161, 4.4135, 213.2991 }, + { 7895, 2.4791, 426.5982 }, + { 7058, 2.1818, 1265.5675 }, + { 6138, 6.2642, 846.0828 }, + { 5477, 5.6573, 639.8973 }, + { 4170, 2.0161, 515.4639 }, + { 4137, 2.7222, 625.6702 }, + { 3503, 0.5653, 1066.4955 }, + { 2617, 2.0099, 1581.9593 }, + { 2500, 4.5518, 838.9693 }, + { 2128, 6.1275, 742.9901 }, + { 1912, 0.8562, 412.3711 }, + { 1611, 3.0887, 1368.6603 }, + { 1479, 2.6803, 1478.8666 }, + { 1231, 1.8904, 323.5054 }, + { 1217, 1.8017, 110.2063 }, + { 1015, 1.3867, 454.9094 }, + { 999, 2.872, 309.278 }, + { 961, 4.549, 2118.764 }, + { 886, 4.148, 533.623 }, + { 821, 1.593, 1898.351 }, + { 812, 5.941, 909.819 }, + { 777, 3.677, 728.763 }, + { 727, 3.988, 1155.361 }, + { 655, 2.791, 1685.052 }, + { 654, 3.382, 1692.166 }, + { 621, 4.823, 956.289 }, + { 615, 2.276, 942.062 }, + { 562, 0.081, 543.918 }, + { 542, 0.284, 525.759 } +} }; + +constexpr array g_R1JupiterCoefficients +{ { + { 1271802,2.6493751, 529.6909651 }, + { 61662, 3.00076, 1059.38193 }, + { 53444, 3.89718, 522.57742 }, + { 41390, 0, 0 }, + { 31185, 4.88277, 536.80451 }, + { 11847, 2.41330, 419.48464 }, + { 9166, 4.7598, 7.1135 }, + { 3404, 3.3469, 1589.0729 }, + { 3203, 5.2108, 735.8765 }, + { 3176, 2.7930, 103.0928 }, + { 2806, 3.7422, 515.4639 }, + { 2677, 4.3305, 1052.2684 }, + { 2600, 3.6344, 206.1855 }, + { 2412, 1.4695, 426.5982 }, + { 2101, 3.9276, 639.8973 }, + { 1646, 5.3095, 1066.4955 }, + { 1641, 4.4163, 625.6702 }, + { 1050, 3.1611, 213.2991 }, + { 1025, 2.5543, 412.3711 }, + { 806, 2.678, 632.784 }, + { 741, 2.171, 1162.475 }, + { 677, 6.250, 838.969 }, + { 567, 4.577, 742.990 }, + { 485, 2.469, 949.176 }, + { 469, 4.710, 543.918 }, + { 445, 0.403, 323.505 }, + { 416, 5.368, 728.763 }, + { 402, 4.605, 309.278 }, + { 347, 4.681, 14.227 }, + { 338, 3.168, 956.289 }, + { 261, 5.343, 846.083 }, + { 247, 3.923, 942.062 }, + { 220, 4.842, 1368.660 }, + { 203, 5.600, 1155.361 }, + { 200, 4.439, 1045.155 }, + { 197, 3.706, 2118.764 }, + { 196, 3.759, 199.072 }, + { 184, 4.265, 95.979 }, + { 180, 4.402, 532.872 }, + { 170, 4.846, 526.510 }, + { 146, 6.130, 533.623 }, + { 133, 1.322, 110.206 }, + { 132, 4.512, 525.759 } +} }; + +constexpr array g_R2JupiterCoefficients +{ { + { 79645, 1.35866, 529.69097 }, + { 8252, 5.7777, 522.5774 }, + { 7030, 3.2748, 536.8045 }, + { 5314, 1.8384, 1059.3819 }, + { 1861, 2.9768, 7.1135 }, + { 964, 5.480, 515.464 }, + { 836, 4.199, 419.485 }, + { 498, 3.142, 0 }, + { 427, 2.228, 639.897 }, + { 406, 3.783, 1066.495 }, + { 377, 2.242, 1589.073 }, + { 363, 5.368, 206.186 }, + { 342, 6.099, 1052.268 }, + { 339, 6.127, 625.670 }, + { 333, 0.003, 426.598 }, + { 280, 4.262, 412.371 }, + { 257, 0.963, 632.784 }, + { 230, 0.705, 735.877 }, + { 201, 3.069, 543.918 }, + { 200, 4.429, 103.093 }, + { 139, 2.932, 14.227 }, + { 114, 0.787, 728.763 }, + { 95, 1.70, 838.97 }, + { 86, 5.14, 323.51 }, + { 83, 0.06, 309.28 }, + { 80, 2.98, 742.99 }, + { 75, 1.60, 956.29 }, + { 70, 1.51, 213.30 }, + { 67, 5.47, 199.07 }, + { 62, 6.10, 1045.15 }, + { 56, 0.96, 1162.47 }, + { 52, 5.58, 942.06 }, + { 50, 2.72, 532.87 }, + { 45, 5.52, 508.35 }, + { 44, 0.27, 526.51 }, + { 40, 5.95, 95.98 } +} }; + +constexpr array g_R3JupiterCoefficients +{ { + { 3519, 6.0580, 529.6910 }, + { 1073, 1.6732, 536.8045 }, + { 916, 1.413, 522.577 }, + { 342, 0.523, 1059.382 }, + { 255, 1.196, 7.114 }, + { 222, 0.952, 515.464 }, + { 90, 3.14, 0 }, + { 69, 2.27, 1066.50 }, + { 58, 1.41, 543.92 }, + { 58, 0.53, 639.90 }, + { 51, 5.98, 412.37 }, + { 47, 1.58, 625.67 }, + { 43, 6.12, 419.48 }, + { 37, 1.18, 14.23 }, + { 34, 1.67, 1052.27 }, + { 34, 0.85, 206.19 }, + { 31, 1.04, 1589.07 }, + { 30, 4.63, 426.60 }, + { 21, 2.50, 728.76 }, + { 15, 0.89, 199.07 }, + { 14, 0.96, 508.35 }, + { 13, 1.50, 1045.15 }, + { 12, 2.61, 735.88 }, + { 12, 3.56, 323.51 }, + { 11, 1.79, 309.28 }, + { 11, 6.28, 956.29 }, + { 10, 6.26, 103.09 }, + { 9, 3.45, 838.97 } +} }; + +constexpr array g_R4JupiterCoefficients +{ { + { 129, 0.084, 536.805 }, + { 113, 4.249, 529.691 }, + { 83, 3.30, 522.58 }, + { 38, 2.73, 515.46 }, + { 27, 5.69, 7.11 }, + { 18, 5.40, 1059.38 }, + { 13, 6.02, 543.92 }, + { 9, 0.77, 1066.50 }, + { 8, 5.68, 14.23 }, + { 7, 1.43, 412.37 }, + { 6, 5.12, 639.90 }, + { 5, 3.34, 625.67 }, + { 3, 3.40, 1052.27 }, + { 3, 4.16, 728.76 }, + { 3, 2.90, 426.60 } +} }; + +constexpr array g_R5JupiterCoefficients +{ { + { 11, 4.75, 536.80 }, + { 4, 5.92, 522.58 }, + { 2, 5.57, 515.46 }, + { 2, 4.30, 543.92 }, + { 2, 3.69, 7.11 }, + { 2, 4.13, 1059.38 }, + { 2, 5.49, 1066.50 } +} }; + + +////////////////////////// Implementation ///////////////////////////////////// + +double CAAJupiter::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Jupiter::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0JupiterCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1JupiterCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2JupiterCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3JupiterCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4JupiterCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5JupiterCoefficients) + L5 += (L5Coefficient.A * cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAJupiter::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Jupiter::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0JupiterCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1JupiterCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2JupiterCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3JupiterCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4JupiterCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + //Calculate B5 + double B5 = 0; + for (const auto& B5Coefficient : g_B5JupiterCoefficients) + B5 += (B5Coefficient.A * cos(B5Coefficient.B + (B5Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4) + (B5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAJupiter::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Jupiter::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0JupiterCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1JupiterCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2JupiterCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3JupiterCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + //Calculate R4 + double R4 = 0; + for (const auto& R4Coefficient : g_R4JupiterCoefficients) + R4 += (R4Coefficient.A * cos(R4Coefficient.B + (R4Coefficient.C*rho))); + + //Calculate R5 + double R5 = 0; + for (const auto& R5Coefficient : g_R5JupiterCoefficients) + R5 += (R5Coefficient.A * cos(R5Coefficient.B + (R5Coefficient.C*rho))); + + return (R0 + (R1*rho) + (R2*rhosquared) + (R3*rhocubed) + (R4*rho4) + (R5*rho5)) / 100000000; +} diff --git a/Vendor/AA+/1.6.3/AAJupiter.h b/Sources/AAPlus/include/AAJupiter.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAJupiter.h rename to Sources/AAPlus/include/AAJupiter.h index 832c1d6..1123d6f --- a/Vendor/AA+/1.6.3/AAJupiter.h +++ b/Sources/AAPlus/include/AAJupiter.h @@ -1,9 +1,9 @@ /* -Module : AAJUPITER.H +Module : AAJupiter.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Uranus Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAAJupiter { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAKepler.h b/Sources/AAPlus/include/AAKepler.h old mode 100755 new mode 100644 similarity index 89% rename from Vendor/AA+/1.6.3/AAKepler.h rename to Sources/AAPlus/include/AAKepler.h index 4dc72cc..884626c --- a/Vendor/AA+/1.6.3/AAKepler.h +++ b/Sources/AAPlus/include/AAKepler.h @@ -1,9 +1,9 @@ /* -Module : AAKEPLER.H +Module : AAKepler.h Purpose: Implementation for the algorithms which solve Kepler's equation Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,7 +38,7 @@ class AAPLUS_EXT_CLASS CAAKepler { public: //Static methods - static double Calculate(double M, double e, int nIterations = 53); + static double Calculate(double M, double e, int nIterations = 53) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAMars.h b/Sources/AAPlus/include/AAMars.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAMars.h rename to Sources/AAPlus/include/AAMars.h index 2d27dd2..99a2426 --- a/Vendor/AA+/1.6.3/AAMars.h +++ b/Sources/AAPlus/include/AAMars.h @@ -1,9 +1,9 @@ /* -Module : AAMARS.H +Module : AAMars.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Mars Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAAMars { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Sources/AAPlus/include/AAMercury.cpp b/Sources/AAPlus/include/AAMercury.cpp new file mode 100644 index 0000000..2d66ec8 --- /dev/null +++ b/Sources/AAPlus/include/AAMercury.cpp @@ -0,0 +1,429 @@ +/* +Module : AAMercury.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Mercury +Created: PJN / 29-12-2003 +History: PJN / 16-11-2005 1. Fixed a transcription error in the second coefficient used to calculate + the longitude of Mercury. Thanks to "Maurizio" for reporting this bug. + PJN / 12-05-2006 1. Fixed a transcription error in the third coefficient used to calculate + the R0 term for the radius vector of Mercury. Thanks to John Kruso for + reporting this issue. + 2. Fixed a transcription error in the third coefficient used to calculate + the R1 term for the radius vector of Mercury. Thanks to John Kruso for + reporting this issue. + 3. Updated copyright details. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 04-08-2013 1. Fixed a transcription error in the third coefficient used to calculate + the L0 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for + reporting this issue. + 2. Fixed a transcription error in the fifth coefficient used to calculate + the L2 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for + reporting this issue. + 3. Fixed a transcription error in the second coefficient used to calculate + the L4 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for + reporting this issue. + 4. Fixed a transcription error in the ninth coefficient used to calculate + the B0 term for the ecliptic latitude of Mercury. Thanks to Isaac Clark for + reporting this issue. + 5. Spot tests indicate that these 4 changes only affected the ecliptic longitude + in the sixth decimal place and the ecliptic latitude in the eight decimal place. + 6. Updated copyright details + PJN / 16-09-2015 1. CAAMercury::EclipticLongitude, EclipticLatitude & RadiusVector now include a + "bool bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAMercury.cpp module + PJN / 13-04-2020 1. Reworked C arrays to use std::array + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////// Includes ///////////////////////////////////////// + +#include "stdafx.h" +#include "AAMercury.h" +#include "AACoordinateTransformation.h" +#include "AADefines.h" +#ifndef AAPLUS_NO_VSOP87 +#include "AAVSOP87D_MER.h" +#endif //#ifndef AAPLUS_NO_VSOP87 +#include +#include +using namespace std; + + +//////////////////////////// Macros / Defines ///////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct VSOP87Coefficient +{ + double A; + double B; + double C; +}; + +constexpr array g_L0MercuryCoefficients +{ { + { 440250710, 0, 0 }, + { 40989415, 1.48302034, 26087.90314157 }, + { 5046294, 4.4778549, 52175.8062831 }, + { 855347, 1.165203, 78263.709425 }, + { 165590, 4.119692, 104351.612566 }, + { 34562, 0.77931, 130439.51571 }, + { 7583, 3.7135, 156527.4188 }, + { 3560, 1.5120, 1109.3786 }, + { 1803, 4.1033, 5661.3320 }, + { 1726, 0.3583, 182615.3220 }, + { 1590, 2.9951, 25028.5212 }, + { 1365, 4.5992, 27197.2817 }, + { 1017, 0.8803, 31749.2352 }, + { 714, 1.541, 24978.525 }, + { 644, 5.303, 21535.950 }, + { 451, 6.050, 51116.424 }, + { 404, 3.282, 208703.225 }, + { 352, 5.242, 20426.571 }, + { 345, 2.792, 15874.618 }, + { 343, 5.765, 955.600 }, + { 339, 5.863, 25558.212 }, + { 325, 1.337, 53285.185 }, + { 273, 2.495, 529.691 }, + { 264, 3.917, 57837.138 }, + { 260, 0.987, 4551.953 }, + { 239, 0.113, 1059.382 }, + { 235, 0.267, 11322.664 }, + { 217, 0.660, 13521.751 }, + { 209, 2.092, 47623.853 }, + { 183, 2.629, 27043.503 }, + { 182, 2.434, 25661.305 }, + { 176, 4.536, 51066.428 }, + { 173, 2.452, 24498.830 }, + { 142, 3.360, 37410.567 }, + { 138, 0.291, 10213.286 }, + { 125, 3.721, 39609.655 }, + { 118, 2.781, 77204.327 }, + { 106, 4.206, 19804.827 } +} }; + +constexpr array g_L1MercuryCoefficients +{ { + { 2608814706223.0, 0, 0 }, + { 1126008, 6.2170397, 26087.9031416 }, + { 303471, 3.055655, 52175.806283 }, + { 80538, 6.10455, 78263.70942 }, + { 21245, 2.83532, 104351.61257 }, + { 5592, 5.8268, 130439.5157 }, + { 1472, 2.5185, 156527.4188 }, + { 388, 5.480, 182615.322 }, + { 352, 3.052, 1109.379 }, + { 103, 2.149, 208703.225 }, + { 94, 6.12, 27197.28 }, + { 91, 0.00, 24978.52 }, + { 52, 5.62, 5661.33 }, + { 44, 4.57, 25028.52 }, + { 28, 3.04, 51066.43 }, + { 27, 5.09, 234791.13 } +} }; + +constexpr array g_L2MercuryCoefficients +{ { + { 53050, 0, 0 }, + { 16904, 4.69072, 26087.90314 }, + { 7397, 1.3474, 52175.8063 }, + { 3018, 4.4564, 78263.7094 }, + { 1107, 1.2623, 104351.6126 }, + { 378, 4.320, 130439.516 }, + { 123, 1.069, 156527.419 }, + { 39, 4.08, 182615.32 }, + { 15, 4.63, 1109.38 }, + { 12, 0.79, 208703.23 } +} }; + +constexpr array g_L3MercuryCoefficients +{ { + { 188, 0.035, 52175.806 }, + { 142, 3.125, 26087.903 }, + { 97, 3.00, 78263.71 }, + { 44, 6.02, 104351.61 }, + { 35, 0, 0 }, + { 18, 2.78, 130439.52 }, + { 7, 5.82, 156527.42 }, + { 3, 2.57, 182615.32 } +} }; + +constexpr array g_L4MercuryCoefficients +{ { + { 114, 3.1416, 0 }, + { 3, 2.03, 26087.90 }, + { 2, 1.42, 78263.71 }, + { 2, 4.50, 52175.81 }, + { 1, 4.50, 104351.61 }, + { 1, 1.27, 130439.52 } +} }; + +constexpr array g_L5MercuryCoefficients +{ { + { 1, 3.14, 0 } +} }; + +constexpr array g_B0MercuryCoefficients +{ { + { 11737529, 1.98357499, 26087.90314157 }, + { 2388077, 5.0373896, 52175.8062831 }, + { 1222840, 3.1415927, 0 }, + { 543252, 1.796444, 78263.709425 }, + { 129779, 4.832325, 104351.612566 }, + { 31867, 1.58088, 130439.51571 }, + { 7963, 4.6097, 156527.4188 }, + { 2014, 1.3532, 182615.3220 }, + { 514, 4.378, 208703.225 }, + { 209, 2.020, 24978.525 }, + { 208, 4.918, 27197.282 }, + { 132, 1.119, 234791.128 }, + { 121, 1.813, 53285.185 }, + { 100, 5.657, 20426.571 } +} }; + +constexpr array g_B1MercuryCoefficients +{ { + { 429151, 3.501698, 26087.903142 }, + { 146234, 3.141593, 0 }, + { 22675, 0.01515, 52175.80628 }, + { 10895, 0.48540, 78263.70942 }, + { 6353, 3.4294, 104351.6126 }, + { 2496, 0.1605, 130439.5157 }, + { 860, 3.185, 156527.419 }, + { 278, 6.210, 182615.322 }, + { 86, 2.95, 208703.23 }, + { 28, 0.29, 27197.28 }, + { 26, 5.98, 234791.13 } +} }; + +constexpr array g_B2MercuryCoefficients +{ { + { 11831, 4.79066, 26087.90314 }, + { 1914, 0, 0 }, + { 1045, 1.2122, 52175.8063 }, + { 266, 4.434, 78263.709 }, + { 170, 1.623, 104351.613 }, + { 96, 4.80, 130439.52 }, + { 45, 1.61, 156527.42 }, + { 18, 4.67, 182615.32 }, + { 7, 1.43, 208703.23 } +} }; + +constexpr array g_B3MercuryCoefficients +{ { + { 235, 0.354, 26087.903 }, + { 161, 0, 0 }, + { 19, 4.36, 52175.81 }, + { 6, 2.51, 78263.71 }, + { 5, 6.14, 104351.61 }, + { 3, 3.12, 130439.52 }, + { 2, 6.27, 156527.42 } +} }; + +constexpr array g_B4MercuryCoefficients +{ { + { 4, 1.75, 26087.90 }, + { 1, 3.14, 0 } +} }; + +constexpr array g_R0MercuryCoefficients +{ { + { 39528272, 0, 0 }, + { 7834132, 6.1923372, 26087.9031416 }, + { 795526, 2.959897, 52175.806283 }, + { 121282, 6.010642, 78263.709425 }, + { 21922, 2.77820, 104351.61257 }, + { 4354, 5.8289, 130439.5157 }, + { 918, 2.597, 156527.419 }, + { 290, 1.424, 25028.521 }, + { 260, 3.028, 27197.282 }, + { 202, 5.647, 182615.322 }, + { 201, 5.592, 31749.235 }, + { 142, 6.253, 24978.525 }, + { 100, 3.734, 21535.950 } +} }; + +constexpr array g_R1MercuryCoefficients +{ { + { 217348, 4.656172, 26087.903142 }, + { 44142, 1.42386, 52175.80628 }, + { 10094, 4.47466, 78263.70942 }, + { 2433, 1.2423, 104351.6126 }, + { 1624, 0, 0 }, + { 604, 4.293, 130439.516 }, + { 153, 1.061, 156527.419 }, + { 39, 4.11, 182615.32 } +} }; + +constexpr array g_R2MercuryCoefficients +{ { + { 3118, 3.0823, 26087.9031 }, + { 1245, 6.1518, 52175.8063 }, + { 425, 2.926, 78263.709 }, + { 136, 5.980, 104351.613 }, + { 42, 2.75, 130439.52 }, + { 22, 3.14, 0 }, + { 13, 5.80, 156527.42 } +} }; + +constexpr array g_R3MercuryCoefficients +{ { + { 33, 1.68, 26087.90 }, + { 24, 4.63, 52175.81 }, + { 12, 1.39, 78263.71 }, + { 5, 4.44, 104351.61 }, + { 2, 1.21, 130439.52 } +} }; + + +///////////////////////////// Implementation ////////////////////////////////// + +double CAAMercury::EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mercury::L(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + const double rho5 = rho4*rho; + + //Calculate L0 + double L0 = 0; + for (const auto& L0Coefficient : g_L0MercuryCoefficients) + L0 += (L0Coefficient.A * cos(L0Coefficient.B + (L0Coefficient.C*rho))); + + //Calculate L1 + double L1 = 0; + for (const auto& L1Coefficient : g_L1MercuryCoefficients) + L1 += (L1Coefficient.A * cos(L1Coefficient.B + (L1Coefficient.C*rho))); + + //Calculate L2 + double L2 = 0; + for (const auto& L2Coefficient : g_L2MercuryCoefficients) + L2 += (L2Coefficient.A * cos(L2Coefficient.B + (L2Coefficient.C*rho))); + + //Calculate L3 + double L3 = 0; + for (const auto& L3Coefficient : g_L3MercuryCoefficients) + L3 += (L3Coefficient.A * cos(L3Coefficient.B + (L3Coefficient.C*rho))); + + //Calculate L4 + double L4 = 0; + for (const auto& L4Coefficient : g_L4MercuryCoefficients) + L4 += (L4Coefficient.A * cos(L4Coefficient.B + (L4Coefficient.C*rho))); + + //Calculate L5 + double L5 = 0; + for (const auto& L5Coefficient : g_L5MercuryCoefficients) + L5 += (L5Coefficient.A * cos(L5Coefficient.B + (L5Coefficient.C*rho))); + + double value = (L0 + (L1*rho) + (L2*rhosquared) + (L3*rhocubed) + (L4*rho4) + (L5*rho5)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAMercury::EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mercury::B(JD))); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + const double rho4 = rhocubed*rho; + + //Calculate B0 + double B0 = 0; + for (const auto& B0Coefficient : g_B0MercuryCoefficients) + B0 += (B0Coefficient.A * cos(B0Coefficient.B + (B0Coefficient.C*rho))); + + //Calculate B1 + double B1 = 0; + for (const auto& B1Coefficient : g_B1MercuryCoefficients) + B1 += (B1Coefficient.A * cos(B1Coefficient.B + (B1Coefficient.C*rho))); + + //Calculate B2 + double B2 = 0; + for (const auto& B2Coefficient : g_B2MercuryCoefficients) + B2 += (B2Coefficient.A * cos(B2Coefficient.B + (B2Coefficient.C*rho))); + + //Calculate B3 + double B3 = 0; + for (const auto& B3Coefficient : g_B3MercuryCoefficients) + B3 += (B3Coefficient.A * cos(B3Coefficient.B + (B3Coefficient.C*rho))); + + //Calculate B4 + double B4 = 0; + for (const auto& B4Coefficient : g_B4MercuryCoefficients) + B4 += (B4Coefficient.A * cos(B4Coefficient.B + (B4Coefficient.C*rho))); + + double value = (B0 + (B1*rho) + (B2*rhosquared) + (B3*rhocubed) + (B4*rho4)) / 100000000; + + //convert results back to degrees + value = CAACoordinateTransformation::MapToMinus90To90Range(CAACoordinateTransformation::RadiansToDegrees(value)); + return value; +} + +double CAAMercury::RadiusVector(double JD, bool bHighPrecision) noexcept +{ +#ifndef AAPLUS_NO_VSOP87 + if (bHighPrecision) + return CAAVSOP87D_Mercury::R(JD); +#else + UNREFERENCED_PARAMETER(bHighPrecision); +#endif //#ifndef AAPLUS_NO_VSOP87 + + const double rho = (JD - 2451545) / 365250; + const double rhosquared = rho*rho; + const double rhocubed = rhosquared*rho; + + //Calculate R0 + double R0 = 0; + for (const auto& R0Coefficient : g_R0MercuryCoefficients) + R0 += (R0Coefficient.A * cos(R0Coefficient.B + (R0Coefficient.C*rho))); + + //Calculate R1 + double R1 = 0; + for (const auto& R1Coefficient : g_R1MercuryCoefficients) + R1 += (R1Coefficient.A * cos(R1Coefficient.B + (R1Coefficient.C*rho))); + + //Calculate R2 + double R2 = 0; + for (const auto& R2Coefficient : g_R2MercuryCoefficients) + R2 += (R2Coefficient.A * cos(R2Coefficient.B + (R2Coefficient.C*rho))); + + //Calculate R3 + double R3 = 0; + for (const auto& R3Coefficient : g_R3MercuryCoefficients) + R3 += (R3Coefficient.A * cos(R3Coefficient.B + (R3Coefficient.C*rho))); + + return (R0 + R1*rho + R2*rhosquared + R3*rhocubed) / 100000000; +} diff --git a/Vendor/AA+/1.6.3/AAMercury.h b/Sources/AAPlus/include/AAMercury.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAMercury.h rename to Sources/AAPlus/include/AAMercury.h index febfc11..6233e5b --- a/Vendor/AA+/1.6.3/AAMercury.h +++ b/Sources/AAPlus/include/AAMercury.h @@ -1,9 +1,9 @@ /* -Module : AAMERCURY.H +Module : AAMercury.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Mercury Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAAMercury { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAMoon.h b/Sources/AAPlus/include/AAMoon.h old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AAMoon.h rename to Sources/AAPlus/include/AAMoon.h index 2de5e54..84d6383 --- a/Vendor/AA+/1.6.3/AAMoon.h +++ b/Sources/AAPlus/include/AAMoon.h @@ -1,9 +1,9 @@ /* -Module : AAMOON.H +Module : AAMoon.h Purpose: Implementation for the algorithms which obtain the position of the Moon Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,20 +38,18 @@ class AAPLUS_EXT_CLASS CAAMoon { public: //Static methods - static double MeanLongitude(double JD); - static double MeanElongation(double JD); - static double MeanAnomaly(double JD); - static double ArgumentOfLatitude(double JD); - static double MeanLongitudeAscendingNode(double JD); - static double MeanLongitudePerigee(double JD); - static double TrueLongitudeAscendingNode(double JD); - - static double EclipticLongitude(double JD); - static double EclipticLatitude(double JD); - static double RadiusVector(double JD); - - static double RadiusVectorToHorizontalParallax(double RadiusVector); - static double HorizontalParallaxToRadiusVector(double Parallax); + static double MeanLongitude(double JD) noexcept; + static double MeanElongation(double JD) noexcept; + static double MeanAnomaly(double JD) noexcept; + static double ArgumentOfLatitude(double JD) noexcept; + static double MeanLongitudeAscendingNode(double JD) noexcept; + static double MeanLongitudePerigee(double JD) noexcept; + static double TrueLongitudeAscendingNode(double JD) noexcept; + static double EclipticLongitude(double JD) noexcept; + static double EclipticLatitude(double JD) noexcept; + static double RadiusVector(double JD) noexcept; + static double RadiusVectorToHorizontalParallax(double RadiusVector) noexcept; + static double HorizontalParallaxToRadiusVector(double Parallax) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAMoonIlluminatedFraction.h b/Sources/AAPlus/include/AAMoonIlluminatedFraction.h old mode 100755 new mode 100644 similarity index 79% rename from Vendor/AA+/1.6.3/AAMoonIlluminatedFraction.h rename to Sources/AAPlus/include/AAMoonIlluminatedFraction.h index ea9ac55..41f8753 --- a/Vendor/AA+/1.6.3/AAMoonIlluminatedFraction.h +++ b/Sources/AAPlus/include/AAMoonIlluminatedFraction.h @@ -1,9 +1,9 @@ /* -Module : AAMOONILLUMINATEDFRACTION.H +Module : AAMoonIlluminatedFraction.h Purpose: Implementation for the algorithms for the Moon's Elongation, Phase Angle and Illuminated Fraction Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,10 +38,10 @@ class AAPLUS_EXT_CLASS CAAMoonIlluminatedFraction { public: //Static methods - static double GeocentricElongation(double ObjectAlpha, double ObjectDelta, double SunAlpha, double SunDelta); - static double PhaseAngle(double GeocentricElongation, double EarthObjectDistance, double EarthSunDistance); - static double IlluminatedFraction(double PhaseAngle); - static double PositionAngle(double Alpha0, double Delta0, double Alpha, double Delta); + static double GeocentricElongation(double ObjectAlpha, double ObjectDelta, double SunAlpha, double SunDelta) noexcept; + static double PhaseAngle(double GeocentricElongation, double EarthObjectDistance, double EarthSunDistance) noexcept; + static double IlluminatedFraction(double PhaseAngle) noexcept; + static double PositionAngle(double Alpha0, double Delta0, double Alpha, double Delta) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAMoonMaxDeclinations.cpp b/Sources/AAPlus/include/AAMoonMaxDeclinations.cpp old mode 100755 new mode 100644 similarity index 57% rename from Vendor/AA+/1.6.3/AAMoonMaxDeclinations.cpp rename to Sources/AAPlus/include/AAMoonMaxDeclinations.cpp index f8ba7bf..776ef77 --- a/Vendor/AA+/1.6.3/AAMoonMaxDeclinations.cpp +++ b/Sources/AAPlus/include/AAMoonMaxDeclinations.cpp @@ -1,10 +1,10 @@ /* -Module : AAMOONMAXDECLINATIONS.CPP -Purpose: Implementation for the algorithms which obtain the dates and values for Maximum declination of the Moon +Module : AAMoonMaxDeclinations.cpp +Purpose: Implementation for the algorithms which obtain the dates and values for maximum declination of the Moon Created: PJN / 13-01-2004 -History: None +History: PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -30,35 +30,12 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -double CAAMoonMaxDeclinations::K(double Year) -{ - return 13.3686*(Year - 2000.03); -} - -double CAAMoonMaxDeclinations::MeanGreatestDeclination(double k, bool bNortherly) -{ - //convert from K to T - double T = k/1336.86; - double T2 = T*T; - double T3 = T2*T; - - double value = bNortherly ? 2451562.5897 : 2451548.9289; - return value + 27.321582247*k + 0.000119804*T2 - 0.000000141*T3; -} - -double CAAMoonMaxDeclinations::MeanGreatestDeclinationValue(double k) -{ - //convert from K to T - double T = k/1336.86; - return 23.6961 - 0.013004*T; -} - -double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly) +double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly) noexcept { //convert from K to T - double T = k/1336.86; - double T2 = T*T; - double T3 = T2*T; + const double T = k/1336.86; + const double T2 = T*T; + const double T3 = T2*T; double D = bNortherly ? 152.2029 : 345.6676; D = CAACoordinateTransformation::MapTo0To360Range(D + 333.0705546*k - 0.0004214*T2 + 0.00000011*T3); @@ -68,7 +45,7 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly Mdash = CAACoordinateTransformation::MapTo0To360Range(Mdash + 356.9562794*k + 0.0103066*T2 + 0.00001251*T3); double F = bNortherly ? 325.8867 : 145.1633; F = CAACoordinateTransformation::MapTo0To360Range(F + 1.4467807*k - 0.0020690*T2 - 0.00000215*T3); - double E = 1 - 0.002516*T - 0.0000074*T2; + const double E = 1 - 0.002516*T - 0.0000074*T2; //convert to radians D = CAACoordinateTransformation::DegreesToRadians(D); @@ -77,53 +54,53 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly F = CAACoordinateTransformation::DegreesToRadians(F); - double DeltaJD; + double DeltaJD = 0; if (bNortherly) { DeltaJD = 0.8975*cos(F) + - -0.4726*sin(Mdash) + - -0.1030*sin(2*F) + - -0.0976*sin(2*D - Mdash) + - -0.0462*cos(Mdash - F) + - -0.0461*cos(Mdash + F) + - -0.0438*sin(2*D) + + -0.4726*sin(Mdash) + + -0.1030*sin(2*F) + + -0.0976*sin(2*D - Mdash) + + -0.0462*cos(Mdash - F) + + -0.0461*cos(Mdash + F) + + -0.0438*sin(2*D) + 0.0162*E*sin(M) + - -0.0157*cos(3*F) + + -0.0157*cos(3*F) + 0.0145*sin(Mdash + 2*F) + 0.0136*cos(2*D - F) + - -0.0095*cos(2*D - Mdash - F) + - -0.0091*cos(2*D - Mdash + F) + - -0.0089*cos(2*D + F) + + -0.0095*cos(2*D - Mdash - F) + + -0.0091*cos(2*D - Mdash + F) + + -0.0089*cos(2*D + F) + 0.0075*sin(2*Mdash) + - -0.0068*sin(Mdash - 2*F) + + -0.0068*sin(Mdash - 2*F) + 0.0061*cos(2*Mdash - F) + - -0.0047*sin(Mdash + 3*F) + - -0.0043*E*sin(2*D - M - Mdash) + - -0.0040*cos(Mdash - 2*F) + - -0.0037*sin(2*D - 2*Mdash) + + -0.0047*sin(Mdash + 3*F) + + -0.0043*E*sin(2*D - M - Mdash) + + -0.0040*cos(Mdash - 2*F) + + -0.0037*sin(2*D - 2*Mdash) + 0.0031*sin(F) + 0.0030*sin(2*D + Mdash) + - -0.0029*cos(Mdash + 2*F) + - -0.0029*E*sin(2*D - M) + - -0.0027*sin(Mdash + F) + + -0.0029*cos(Mdash + 2*F) + + -0.0029*E*sin(2*D - M) + + -0.0027*sin(Mdash + F) + 0.0024*E*sin(M - Mdash) + - -0.0021*sin(Mdash - 3*F) + + -0.0021*sin(Mdash - 3*F) + 0.0019*sin(2*Mdash + F) + 0.0018*cos(2*D - 2*Mdash - F) + 0.0018*sin(3*F) + 0.0017*cos(Mdash + 3*F) + 0.0017*cos(2*Mdash) + - -0.0014*cos(2*D - Mdash) + + -0.0014*cos(2*D - Mdash) + 0.0013*cos(2*D + Mdash + F) + 0.0013*cos(Mdash) + 0.0012*sin(3*Mdash + F) + 0.0011*sin(2*D - Mdash + F) + - -0.0011*cos(2*D - 2*Mdash) + + -0.0011*cos(2*D - 2*Mdash) + 0.0010*cos(D + F) + 0.0010*E*sin(M + Mdash) + - -0.0009*sin(2*D - 2*F) + + -0.0009*sin(2*D - 2*F) + 0.0007*cos(2*Mdash + F) + - -0.0007*cos(3*Mdash + F); + -0.0007*cos(3*Mdash + F); } else { @@ -131,43 +108,43 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly -0.4726*sin(Mdash) + -0.1030*sin(2*F) + -0.0976*sin(2*D - Mdash) + - 0.0541*cos(Mdash - F) + - 0.0516*cos(Mdash + F) + + 0.0541*cos(Mdash - F) + + 0.0516*cos(Mdash + F) + -0.0438*sin(2*D) + - 0.0112*E*sin(M) + - 0.0157*cos(3*F) + - 0.0023*sin(Mdash + 2*F) + + 0.0112*E*sin(M) + + 0.0157*cos(3*F) + + 0.0023*sin(Mdash + 2*F) + -0.0136*cos(2*D - F) + - 0.0110*cos(2*D - Mdash - F) + - 0.0091*cos(2*D - Mdash + F) + - 0.0089*cos(2*D + F) + - 0.0075*sin(2*Mdash) + + 0.0110*cos(2*D - Mdash - F) + + 0.0091*cos(2*D - Mdash + F) + + 0.0089*cos(2*D + F) + + 0.0075*sin(2*Mdash) + -0.0030*sin(Mdash - 2*F) + -0.0061*cos(2*Mdash - F) + -0.0047*sin(Mdash + 3*F) + -0.0043*E*sin(2*D - M - Mdash) + - 0.0040*cos(Mdash - 2*F) + + 0.0040*cos(Mdash - 2*F) + -0.0037*sin(2*D - 2*Mdash) + -0.0031*sin(F) + - 0.0030*sin(2*D + Mdash) + - 0.0029*cos(Mdash + 2*F) + + 0.0030*sin(2*D + Mdash) + + 0.0029*cos(Mdash + 2*F) + -0.0029*E*sin(2*D - M) + -0.0027*sin(Mdash + F) + - 0.0024*E*sin(M - Mdash) + + 0.0024*E*sin(M - Mdash) + -0.0021*sin(Mdash - 3*F) + -0.0019*sin(2*Mdash + F) + -0.0006*cos(2*D - 2*Mdash - F) + -0.0018*sin(3*F) + -0.0017*cos(Mdash + 3*F) + - 0.0017*cos(2*Mdash) + - 0.0014*cos(2*D - Mdash) + + 0.0017*cos(2*Mdash) + + 0.0014*cos(2*D - Mdash) + -0.0013*cos(2*D + Mdash + F) + -0.0013*cos(Mdash) + - 0.0012*sin(3*Mdash + F) + - 0.0011*sin(2*D - Mdash + F) + - 0.0011*cos(2*D - 2*Mdash) + - 0.0010*cos(D + F) + - 0.0010*E*sin(M + Mdash) + + 0.0012*sin(3*Mdash + F) + + 0.0011*sin(2*D - Mdash + F) + + 0.0011*cos(2*D - 2*Mdash) + + 0.0010*cos(D + F) + + 0.0010*E*sin(M + Mdash) + -0.0009*sin(2*D - 2*F) + -0.0007*cos(2*Mdash + F) + -0.0007*cos(3*Mdash + F); @@ -176,12 +153,12 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclination(double k, bool bNortherly return MeanGreatestDeclination(k, bNortherly) + DeltaJD; } -double CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(double k, bool bNortherly) +double CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(double k, bool bNortherly) noexcept { //convert from K to T - double T = k/1336.86; - double T2 = T*T; - double T3 = T2*T; + const double T = k/1336.86; + const double T2 = T*T; + const double T3 = T2*T; double D = bNortherly ? 152.2029 : 345.6676; D = CAACoordinateTransformation::MapTo0To360Range(D + 333.0705546*k - 0.0004214*T2 + 0.00000011*T3); @@ -191,7 +168,7 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(double k, bool bNort Mdash = CAACoordinateTransformation::MapTo0To360Range(Mdash + 356.9562794*k + 0.0103066*T2 + 0.00001251*T3); double F = bNortherly ? 325.8867 : 145.1633; F = CAACoordinateTransformation::MapTo0To360Range(F + 1.4467807*k - 0.0020690*T2 - 0.00000215*T3); - double E = 1 - 0.002516*T - 0.0000074*T2; + const double E = 1 - 0.002516*T - 0.0000074*T2; //convert to radians D = CAACoordinateTransformation::DegreesToRadians(D); @@ -199,86 +176,86 @@ double CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(double k, bool bNort Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); F = CAACoordinateTransformation::DegreesToRadians(F); - double DeltaValue; + double DeltaValue = 0; if (bNortherly) { DeltaValue = 5.1093*sin(F) + 0.2658*cos(2*F) + 0.1448*sin(2*D - F) + - -0.0322*sin(3*F) + + -0.0322*sin(3*F) + 0.0133*cos(2*D - 2*F) + 0.0125*cos(2*D) + - -0.0124*sin(Mdash - F) + - -0.0101*sin(Mdash + 2*F) + + -0.0124*sin(Mdash - F) + + -0.0101*sin(Mdash + 2*F) + 0.0097*cos(F) + - -0.0087*E*sin(2*D + M - F) + + -0.0087*E*sin(2*D + M - F) + 0.0074*sin(Mdash + 3*F) + 0.0067*sin(D + F) + 0.0063*sin(Mdash - 2*F) + 0.0060*E*sin(2*D - M - F) + - -0.0057*sin(2*D - Mdash - F) + - -0.0056*cos(Mdash + F) + + -0.0057*sin(2*D - Mdash - F) + + -0.0056*cos(Mdash + F) + 0.0052*cos(Mdash + 2*F) + 0.0041*cos(2*Mdash + F) + - -0.0040*cos(Mdash - 3*F) + + -0.0040*cos(Mdash - 3*F) + 0.0038*cos(2*Mdash - F) + - -0.0034*cos(Mdash - 2*F) + - -0.0029*sin(2*Mdash) + + -0.0034*cos(Mdash - 2*F) + + -0.0029*sin(2*Mdash) + 0.0029*sin(3*Mdash + F) + - -0.0028*E*cos(2*D + M - F) + - -0.0028*cos(Mdash - F) + - -0.0023*cos(3*F) + - -0.0021*sin(2*D + F) + + -0.0028*E*cos(2*D + M - F) + + -0.0028*cos(Mdash - F) + + -0.0023*cos(3*F) + + -0.0021*sin(2*D + F) + 0.0019*cos(Mdash + 3*F) + 0.0018*cos(D + F) + 0.0017*sin(2*Mdash - F) + 0.0015*cos(3*Mdash + F) + 0.0014*cos(2*D + 2*Mdash + F) + - -0.0012*sin(2*D - 2*Mdash - F) + - -0.0012*cos(2*Mdash) + - -0.0010*cos(Mdash) + - -0.0010*sin(2*F) + + -0.0012*sin(2*D - 2*Mdash - F) + + -0.0012*cos(2*Mdash) + + -0.0010*cos(Mdash) + + -0.0010*sin(2*F) + 0.0006*sin(Mdash + F); } else { DeltaValue = -5.1093*sin(F) + - 0.2658*cos(2*F) + + 0.2658*cos(2*F) + -0.1448*sin(2*D - F) + - 0.0322*sin(3*F) + - 0.0133*cos(2*D - 2*F) + - 0.0125*cos(2*D) + + 0.0322*sin(3*F) + + 0.0133*cos(2*D - 2*F) + + 0.0125*cos(2*D) + -0.0015*sin(Mdash - F) + - 0.0101*sin(Mdash + 2*F) + + 0.0101*sin(Mdash + 2*F) + -0.0097*cos(F) + - 0.0087*E*sin(2*D + M - F) + - 0.0074*sin(Mdash + 3*F) + - 0.0067*sin(D + F) + + 0.0087*E*sin(2*D + M - F) + + 0.0074*sin(Mdash + 3*F) + + 0.0067*sin(D + F) + -0.0063*sin(Mdash - 2*F) + -0.0060*E*sin(2*D - M - F) + - 0.0057*sin(2*D - Mdash - F) + + 0.0057*sin(2*D - Mdash - F) + -0.0056*cos(Mdash + F) + -0.0052*cos(Mdash + 2*F) + -0.0041*cos(2*Mdash + F) + -0.0040*cos(Mdash - 3*F) + -0.0038*cos(2*Mdash - F) + - 0.0034*cos(Mdash - 2*F) + + 0.0034*cos(Mdash - 2*F) + -0.0029*sin(2*Mdash) + - 0.0029*sin(3*Mdash + F) + - 0.0028*E*cos(2*D + M - F) + + 0.0029*sin(3*Mdash + F) + + 0.0028*E*cos(2*D + M - F) + -0.0028*cos(Mdash - F) + - 0.0023*cos(3*F) + - 0.0021*sin(2*D + F) + - 0.0019*cos(Mdash + 3*F) + - 0.0018*cos(D + F) + + 0.0023*cos(3*F) + + 0.0021*sin(2*D + F) + + 0.0019*cos(Mdash + 3*F) + + 0.0018*cos(D + F) + -0.0017*sin(2*Mdash - F) + - 0.0015*cos(3*Mdash + F) + - 0.0014*cos(2*D + 2*Mdash + F) + - 0.0012*sin(2*D - 2*Mdash - F) + + 0.0015*cos(3*Mdash + F) + + 0.0014*cos(2*D + 2*Mdash + F) + + 0.0012*sin(2*D - 2*Mdash - F) + -0.0012*cos(2*Mdash) + - 0.0010*cos(Mdash) + + 0.0010*cos(Mdash) + -0.0010*sin(2*F) + - 0.0037*sin(Mdash + F); + 0.0037*sin(Mdash + F); } return MeanGreatestDeclinationValue(k) + DeltaValue; diff --git a/Sources/AAPlus/include/AAMoonMaxDeclinations.h b/Sources/AAPlus/include/AAMoonMaxDeclinations.h new file mode 100644 index 0000000..61289d1 --- /dev/null +++ b/Sources/AAPlus/include/AAMoonMaxDeclinations.h @@ -0,0 +1,75 @@ +/* +Module : AAMoonMaxDeclinations.h +Purpose: Implementation for the algorithms which obtain the dates and values for maximum declination of the Moon +Created: PJN / 13-01-2004 + +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONMAXDECLINATIONS_H__ +#define __AAMOONMAXDECLINATIONS_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +////////////////////// Classes //////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonMaxDeclinations +{ +public: +//Static methods + constexpr static double K(double Year) noexcept + { + return 13.3686*(Year - 2000.03); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MeanGreatestDeclination(double k, bool bNortherly) noexcept + { + //convert from K to T + const double T = k / 1336.86; + const double T2 = T * T; + const double T3 = T2 * T; + + const double value = bNortherly ? 2451562.5897 : 2451548.9289; + return value + 27.321582247*k + 0.000119804*T2 - 0.000000141*T3; + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MeanGreatestDeclinationValue(double k) noexcept + { + //convert from K to T + const double T = k / 1336.86; + return 23.6961 - 0.013004*T; + } + + static double TrueGreatestDeclination(double k, bool bNortherly) noexcept; + static double TrueGreatestDeclinationValue(double k, bool bNortherly) noexcept; +}; + + +#endif //#ifndef __AAMOONMAXDECLINATIONS_H__ diff --git a/Sources/AAPlus/include/AAMoonMaxDeclinations2.h b/Sources/AAPlus/include/AAMoonMaxDeclinations2.h new file mode 100644 index 0000000..07f7d3e --- /dev/null +++ b/Sources/AAPlus/include/AAMoonMaxDeclinations2.h @@ -0,0 +1,86 @@ +/* +Module : AAMoonMaxDeclinations2.h +Purpose: Implementation for the algorithms to calculate the dates and values for maximum declination of the Moon (revised version) +Created: PJN / 22-10-2019 + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONMAXDECLINATIONS2_H_ +#define __AAMOONMAXDECLINATIONS2_H_ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonMaxDeclinationsDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + MaxNorthernDeclination = 1, + MaxSouthernDeclination = 2, + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Declination = 0; //The actual max declination value in degrees + double RA = 0; //The Right ascension at the time of the event +}; + +class AAPLUS_EXT_CLASS CAAMoonMaxDeclinations2 +{ +public: +//Enums + enum class Algorithm + { + MeeusTruncated = 0 +#ifndef AAPLUS_NO_ELP2000 + , + ELP2000 = 1 +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + , + ELPMPP02Nominal = 2, + ELPMPP02LLR = 3, + ELPMPP02DE405 = 4, + ELPMPP02DE406 = 5 +#endif //#ifndef AAPLUS_NO_ELPMPP02 + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, double StepInterval = 0.007, Algorithm algorithm = Algorithm::MeeusTruncated); +}; + + +#endif //#ifndef __AARISETRANSITSET2_H__ diff --git a/Vendor/AA+/1.6.3/AAMoonNodes.h b/Sources/AAPlus/include/AAMoonNodes.h old mode 100755 new mode 100644 similarity index 80% rename from Vendor/AA+/1.6.3/AAMoonNodes.h rename to Sources/AAPlus/include/AAMoonNodes.h index a2e474d..e371eb6 --- a/Vendor/AA+/1.6.3/AAMoonNodes.h +++ b/Sources/AAPlus/include/AAMoonNodes.h @@ -1,9 +1,9 @@ /* -Module : AAMOONNODES.H +Module : AAMoonNodes.h Purpose: Implementation for the algorithms which obtain the dates when the Moon passes thro its nodes Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,8 +38,12 @@ class AAPLUS_EXT_CLASS CAAMoonNodes { public: //Static methods - static double K(double Year); - static double PassageThroNode(double k); + constexpr static double K(double Year) noexcept + { + return 13.4223*(Year - 2000.05); + } + + static double PassageThroNode(double k) noexcept; }; diff --git a/Sources/AAPlus/include/AAMoonNodes2.h b/Sources/AAPlus/include/AAMoonNodes2.h new file mode 100644 index 0000000..3b211b9 --- /dev/null +++ b/Sources/AAPlus/include/AAMoonNodes2.h @@ -0,0 +1,83 @@ +/* +Module : AAMoonNodes2.h +Purpose: Implementation for the algorithms which obtain the dates when the Moon passes thro its nodes (revised version) +Created: PJN / 16-11-2019 + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONNODES2_H__ +#define __AAMOONNODES2_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonNodesDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + Ascending = 1, + Descending = 2 + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT +}; + +class AAPLUS_EXT_CLASS CAAMoonNodes2 +{ +public: +//Enums + enum class Algorithm + { + MeeusTruncated = 0 +#ifndef AAPLUS_NO_ELP2000 + , + ELP2000 = 1 +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + , + ELPMPP02Nominal = 2, + ELPMPP02LLR = 3, + ELPMPP02DE405 = 4, + ELPMPP02DE406 = 5 +#endif //#ifndef AAPLUS_NO_ELPMPP02 + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, double StepInterval = 0.007, Algorithm algorithm = Algorithm::MeeusTruncated); +}; + + +#endif //#ifndef __AAMOONNODES2_H__ diff --git a/Sources/AAPlus/include/AAMoonPerigeeApogee.h b/Sources/AAPlus/include/AAMoonPerigeeApogee.h new file mode 100644 index 0000000..8ae0836 --- /dev/null +++ b/Sources/AAPlus/include/AAMoonPerigeeApogee.h @@ -0,0 +1,73 @@ +/* +Module : AAMoonPerigeeApogee.h +Purpose: Implementation for the algorithms which obtain the dates of Lunar Apogee and Perigee +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONPERIGEEAPOGEE_H__ +#define __AAMOONPERIGEEAPOGEE_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonPerigeeApogee +{ +public: +//Static methods + constexpr static double K(double Year) noexcept + { + return 13.2555*(Year - 1999.97); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MeanPerigee(double k) noexcept + { + //convert from K to T + const double T = k / 1325.55; + const double Tsquared = T * T; + const double Tcubed = Tsquared * T; + const double T4 = Tcubed * T; + + return 2451534.6698 + 27.55454989*k - 0.0006691*Tsquared - 0.000001098*Tcubed + 0.0000000052*T4; + } + + static double MeanApogee(double k) noexcept + { + //Uses the same formula as MeanPerigee + return MeanPerigee(k); + } + + static double TruePerigee(double k) noexcept; + static double TrueApogee(double k) noexcept; + static double PerigeeParallax(double k) noexcept; + static double ApogeeParallax(double k) noexcept; +}; + + +#endif //#ifndef __AAMOONPERIGEEAPOGEE_H__ diff --git a/Sources/AAPlus/include/AAMoonPerigeeApogee2.cpp b/Sources/AAPlus/include/AAMoonPerigeeApogee2.cpp new file mode 100644 index 0000000..97e7915 --- /dev/null +++ b/Sources/AAPlus/include/AAMoonPerigeeApogee2.cpp @@ -0,0 +1,123 @@ +/* +Module : AAMoonMaxDeclinations2.cpp +Purpose: Implementation for the algorithms to calculate the dates and values for Lunar Apogee and Perigee (revised version) +Created: PJN / 02-11-2009 +History: PJN / 02-11-2019 1. Initial implementation + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AAMoonPerigeeApogee2.h" +#include "AAMoon.h" +#ifndef AAPLUS_NO_ELP2000 +#include "AAELP2000.h" +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 +#include "AAELPMPP02.h" +#endif //#ifndef AAPLUS_NO_ELPMPP02 +#include "AAInterpolate.h" +#include +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +vector CAAMoonPerigeeApogee2::Calculate(double StartJD, double EndJD, double StepInterval, Algorithm algorithm) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastDistance0 = 0; + double LastDistance1 = 0; + while (JD < EndJD) + { + double MoonDistance = 0; + switch (algorithm) + { + case Algorithm::MeeusTruncated: + { + MoonDistance = CAAMoon::RadiusVector(JD); + break; + } +#ifndef AAPLUS_NO_ELP2000 + case Algorithm::ELP2000: + { + MoonDistance = CAAELP2000::RadiusVector(JD); + break; + } +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + case Algorithm::ELPMPP02Nominal: + { + MoonDistance = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::Nominal); + break; + } + case Algorithm::ELPMPP02LLR: + { + MoonDistance = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::LLR); + break; + } + case Algorithm::ELPMPP02DE405: + { + MoonDistance = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::DE405); + break; + } + case Algorithm::ELPMPP02DE406: + { + MoonDistance = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::DE406); + break; + } +#endif //#ifndef AAPLUS_NO_ELPMPP02 + default: + { + assert(false); + break; + } + } + + if ((LastDistance0 != 0) && (LastDistance1 != 0)) + { + if ((LastDistance0 > MoonDistance) && (LastDistance0 > LastDistance1)) + { + CAAMoonPerigeeApogeeDetails2 event; + event.type = CAAMoonPerigeeApogeeDetails2::Type::Apogee; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastDistance1, LastDistance0, MoonDistance, fraction); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastDistance0 < MoonDistance) && (LastDistance0 < LastDistance1)) + { + CAAMoonPerigeeApogeeDetails2 event; + event.type = CAAMoonPerigeeApogeeDetails2::Type::Perigee; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastDistance1, LastDistance0, MoonDistance, fraction); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastDistance1 = LastDistance0; + LastDistance0 = MoonDistance; + JD += StepInterval; + } + + return events; +} diff --git a/Sources/AAPlus/include/AAMoonPerigeeApogee2.h b/Sources/AAPlus/include/AAMoonPerigeeApogee2.h new file mode 100644 index 0000000..bce4096 --- /dev/null +++ b/Sources/AAPlus/include/AAMoonPerigeeApogee2.h @@ -0,0 +1,85 @@ +/* +Module : AAMoonPerigeeApogee2.h +Purpose: Implementation for the algorithms to calculate the dates and values for Lunar Apogee and Perigee (revised version) +Created: PJN / 02-11-2019 + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONPERIGEEAPOGEE2_H_ +#define __AAMOONPERIGEEAPOGEE2_H_ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonPerigeeApogeeDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + Perigee = 1, + Apogee = 2, + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Value = 0; //The actual distance in KM +}; + +class AAPLUS_EXT_CLASS CAAMoonPerigeeApogee2 +{ +public: +//Enums + enum class Algorithm + { + MeeusTruncated = 0 +#ifndef AAPLUS_NO_ELP2000 + , + ELP2000 = 1 +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + , + ELPMPP02Nominal = 2, + ELPMPP02LLR = 3, + ELPMPP02DE405 = 4, + ELPMPP02DE406 = 5 +#endif //#ifndef AAPLUS_NO_ELPMPP02 + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, double StepInterval = 0.007, Algorithm algorithm = Algorithm::MeeusTruncated); +}; + + +#endif //#ifndef __AAMOONPERIGEEAPOGEE2_H_ diff --git a/Vendor/AA+/1.6.3/AAMoonPhases.h b/Sources/AAPlus/include/AAMoonPhases.h old mode 100755 new mode 100644 similarity index 50% rename from Vendor/AA+/1.6.3/AAMoonPhases.h rename to Sources/AAPlus/include/AAMoonPhases.h index 02cbf61..5909d40 --- a/Vendor/AA+/1.6.3/AAMoonPhases.h +++ b/Sources/AAPlus/include/AAMoonPhases.h @@ -1,19 +1,19 @@ /* -Module : AAMOONPHASES.H +Module : AAMoonPhases.h Purpose: Implementation for the algorithms which obtain the dates for the phases of the Moon Created: PJN / 11-01-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. Copyright / Usage Details: -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. */ @@ -38,9 +38,26 @@ class AAPLUS_EXT_CLASS CAAMoonPhases { public: //Static methods - static double K(double Year); - static double MeanPhase(double k); - static double TruePhase(double k); + constexpr static double K(double Year) noexcept + { + return 12.3685*(Year - 2000); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static double MeanPhase(double k) noexcept + { + //convert from K to T + const double T = k / 1236.85; + const double T2 = T * T; + const double T3 = T2 * T; + const double T4 = T3 * T; + + return 2451550.09766 + 29.530588861*k + 0.00015437*T2 - 0.000000150*T3 + 0.00000000073*T4; + } + + static double TruePhase(double k) noexcept; }; diff --git a/Sources/AAPlus/include/AAMoonPhases2.h b/Sources/AAPlus/include/AAMoonPhases2.h new file mode 100644 index 0000000..4e6614c --- /dev/null +++ b/Sources/AAPlus/include/AAMoonPhases2.h @@ -0,0 +1,85 @@ +/* +Module : AAMoonPhases2.h +Purpose: Implementation for the algorithms which obtain the dates for the phases of the Moon (revised version) +Created: PJN / 01-01-2020 + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAMOONPHASES2_H__ +#define __AAMOONPHASES2_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAMoonPhasesDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + NewMoon = 1, + FirstQuarter = 2, + FullMoon = 3, + LastQuarter = 4 + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT +}; + +class AAPLUS_EXT_CLASS CAAMoonPhases2 +{ +public: +//Enums + enum class Algorithm + { + MeeusTruncated = 0 +#ifndef AAPLUS_NO_ELP2000 + , + ELP2000 = 1 +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + , + ELPMPP02Nominal = 2, + ELPMPP02LLR = 3, + ELPMPP02DE405 = 4, + ELPMPP02DE406 = 5 +#endif //#ifndef AAPLUS_NO_ELPMPP02 + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, double StepInterval = 0.007, Algorithm algorithm = Algorithm::MeeusTruncated); +}; + + +#endif //#ifndef __AAMOONNODES2_H__ diff --git a/Vendor/AA+/1.6.3/AAMoslemCalendar.cpp b/Sources/AAPlus/include/AAMoslemCalendar.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AAMoslemCalendar.cpp rename to Sources/AAPlus/include/AAMoslemCalendar.cpp index 0d3b016..2e27c6d --- a/Vendor/AA+/1.6.3/AAMoslemCalendar.cpp +++ b/Sources/AAPlus/include/AAMoslemCalendar.cpp @@ -1,5 +1,5 @@ /* -Module : AAMOSLEMCALENDAR.CPP +Module : AAMoslemCalendar.cpp Purpose: Implementation for the algorithms which convert between the Julian and Moslem calendars Created: PJN / 04-02-2004 History: PJN / 12-02-2004 1. Replaced all calls to the macro "INT" with the function CAADate::INT which @@ -7,7 +7,7 @@ History: PJN / 12-02-2004 1. Replaced all calls to the macro "INT" with the func PJN / 26-01-2007 1. Update to fit in with new layout of CAADate class PJN / 28-01-2007 1. Minor updates to fit in with new layout of CAADate class -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -32,25 +32,25 @@ using namespace std; //////////////////////////// Implementation /////////////////////////////////// -CAACalendarDate CAAMoslemCalendar::MoslemToJulian(long Year, long Month, long Day) +CAACalendarDate CAAMoslemCalendar::MoslemToJulian(long Year, long Month, long Day) noexcept { //What will be the return value CAACalendarDate JulianDate; - long N = Day + CAADate::INT(29.5001*(Month - 1) + 0.99); - long Q = CAADate::INT(Year/30.0); - long R = Year % 30; - long A = CAADate::INT((11*R + 3)/30.0); - long W = 404*Q + 354*R + 208 + A; - long Q1 = CAADate::INT(W/1461.0); - long Q2 = W % 1461; - long G = 621 + 4*CAADate::INT(7*Q + Q1); - long K = CAADate::INT(Q2/365.2422); - long E = CAADate::INT(365.2422*K); + const long N = Day + CAADate::INT(29.5001*(Month - 1.0) + 0.99); + const long Q = CAADate::INT(Year/30.0); + const long R = Year % 30; + const long A = CAADate::INT((11.0*R + 3)/30.0); + const long W = 404*Q + 354*R + 208 + A; + const long Q1 = CAADate::INT(W/1461.0); + const long Q2 = W % 1461; + const long G = 621 + 4*CAADate::INT(7.0*Q + Q1); + const long K = CAADate::INT(Q2/365.2422); + const long E = CAADate::INT(365.2422*K); long J = Q2 - E + N - 1; long X = G + K; - long XMod4 = X % 4; + const long XMod4 = X % 4; if ((J > 366) && (XMod4 == 0)) { J -= 366; @@ -68,34 +68,34 @@ CAACalendarDate CAAMoslemCalendar::MoslemToJulian(long Year, long Month, long Da return JulianDate; } -CAACalendarDate CAAMoslemCalendar::JulianToMoslem(long Year, long Month, long Day) +CAACalendarDate CAAMoslemCalendar::JulianToMoslem(long Year, long Month, long Day) noexcept { //What will be the return value CAACalendarDate MoslemDate; - long W = (Year % 4) ? 2 : 1; - long N = CAADate::INT((275 * Month)/9.0) - (W*CAADate::INT((Month + 9)/12.0)) + Day - 30; - long A = Year - 623; - long B = CAADate::INT(A / 4.0); - long C = A % 4; - double C1 = 365.2501*C; + const long W = (Year % 4) ? 2 : 1; + const long N = CAADate::INT((275.0 * Month)/9.0) - (W*CAADate::INT((Month + 9.0)/12.0)) + Day - 30; + const long A = Year - 623; + const long B = CAADate::INT(A / 4.0); + const long C = A % 4; + const double C1 = 365.2501*C; long C2 = CAADate::INT(C1); if ((C1 - C2) > 0.5) C2++; - long Ddash = 1461*B + 170 + C2; - long Q = CAADate::INT(Ddash / 10631.0); - long R = Ddash % 10631; - long J = CAADate::INT(R / 354.0); - long K = R % 354; - long O = CAADate::INT((11*J + 14) / 30); + const long Ddash = 1461*B + 170 + C2; + const long Q = CAADate::INT(Ddash / 10631.0); + const long R = Ddash % 10631; + const long J = CAADate::INT(R / 354.0); + const long K = R % 354; + const long O = CAADate::INT((11*J + 14) / 30); long H = 30*Q + J + 1; long JJ = K - O + N - 1; if (JJ > 354) { - long CL = H % 30; - long DL = (11*CL + 3) % 30; + const long CL = H % 30; + const long DL = (11*CL + 3) % 30; if (DL < 19) { JJ -= 354; @@ -113,7 +113,7 @@ CAACalendarDate CAAMoslemCalendar::JulianToMoslem(long Year, long Month, long Da } } - long S = CAADate::INT((JJ - 1) / 29.5); + const long S = CAADate::INT((JJ - 1.0) / 29.5); MoslemDate.Month = 1 + S; MoslemDate.Day = CAADate::INT(JJ - 29.5*S); MoslemDate.Year = H; @@ -126,9 +126,3 @@ CAACalendarDate CAAMoslemCalendar::JulianToMoslem(long Year, long Month, long Da return MoslemDate; } - -bool CAAMoslemCalendar::IsLeap(long Year) -{ - long R = Year % 30; - return ((11*R + 3) % 30) > 18; -} diff --git a/Vendor/AA+/1.6.3/AAMoslemCalendar.h b/Sources/AAPlus/include/AAMoslemCalendar.h old mode 100755 new mode 100644 similarity index 65% rename from Vendor/AA+/1.6.3/AAMoslemCalendar.h rename to Sources/AAPlus/include/AAMoslemCalendar.h index 3419165..90d914b --- a/Vendor/AA+/1.6.3/AAMoslemCalendar.h +++ b/Sources/AAPlus/include/AAMoslemCalendar.h @@ -1,19 +1,19 @@ /* -Module : AAMOSLEMCALENDAR.H +Module : AAMoslemCalendar.h Purpose: Implementation for the algorithms which convert between the Julian and Moslem calendars Created: PJN / 04-02-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. Copyright / Usage Details: -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. */ @@ -43,9 +43,17 @@ class AAPLUS_EXT_CLASS CAAMoslemCalendar { public: //Static methods - static CAACalendarDate MoslemToJulian(long Year, long Month, long Day); - static CAACalendarDate JulianToMoslem(long Year, long Month, long Day); - static bool IsLeap(long Year); + static CAACalendarDate MoslemToJulian(long Year, long Month, long Day) noexcept; + static CAACalendarDate JulianToMoslem(long Year, long Month, long Day) noexcept; + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + static bool IsLeap(long Year) noexcept + { + const long R = Year % 30; + return ((11 * R + 3) % 30) > 18; + } }; diff --git a/Vendor/AA+/1.6.3/AANearParabolic.cpp b/Sources/AAPlus/include/AANearParabolic.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AANearParabolic.cpp rename to Sources/AAPlus/include/AANearParabolic.cpp index ab09134..4096c1d --- a/Vendor/AA+/1.6.3/AANearParabolic.cpp +++ b/Sources/AAPlus/include/AANearParabolic.cpp @@ -1,6 +1,6 @@ /* -Module : AANEARPARABOLIC.CPP -Purpose: Implementation for the algorithms for a Near parabolic orbit +Module : AANearParabolic.cpp +Purpose: Implementation for the algorithms for a near parabolic orbit Created: PJN / 21-11-2006 History: PJN / 16-03-2009 1. Fixed a bug in CAANearParabolic::Calculate(double JD, const CAANearParabolicObjectElements& elements) in the calculation of the @@ -17,8 +17,9 @@ History: PJN / 16-03-2009 1. Fixed a bug in CAANearParabolic::Calculate(double J PJN / 16-09-2015 1. CAANearParabolic::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2006 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2006 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -47,32 +48,32 @@ using namespace std; ////////////////////////////// Implementation ///////////////////////////////// -double CAANearParabolic::cbrt(double x) +double CAANearParabolic::cbrt(double x) noexcept { return pow(x, 1.0/3); } -void CAANearParabolic::CalulateTrueAnnomalyAndRadius(double JD, const CAANearParabolicObjectElements& elements, double& v, double& r) +void CAANearParabolic::CalculateTrueAnnomalyAndRadius(double JD, const CAANearParabolicObjectElements& elements, double& v, double& r) noexcept { - double k = 0.01720209895; - double a = 0.75 * (JD - elements.T) * k * sqrt((1 + elements.e) / (elements.q*elements.q*elements.q)); - double b = sqrt(1 + a*a); - double W = cbrt(b + a) - cbrt(b - a); - double W2 = W*W; - double W4 = W2*W2; - double f = (1 - elements.e) / (1 + elements.e); - double a1 = (2.0/3) + (0.4) * W2; - double a2 = (7.0/5) + (33.0/35) * W2 + (37.0/175) * W4; - double a3 = W2 * ((432.0/175) + (956.0/1125) * W2 + (84.0/1575) * W4); - double C = W2 / (1 + W2); - double g = f * C * C; - double w = W * (1 + f*C * (a1 + a2*g + a3*g*g)); - double w2 = w*w; + constexpr double k = 0.01720209895; + const double a = 0.75 * (JD - elements.T) * k * sqrt((1 + elements.e) / (elements.q*elements.q*elements.q)); + const double b = sqrt(1 + a*a); + const double W = cbrt(b + a) - cbrt(b - a); + const double W2 = W*W; + const double W4 = W2*W2; + const double f = (1 - elements.e) / (1 + elements.e); + const double a1 = (2.0/3) + (0.4) * W2; + const double a2 = (7.0/5) + (33.0/35) * W2 + (37.0/175) * W4; + const double a3 = W2 * ((432.0/175) + (956.0/1125) * W2 + (84.0/1575) * W4); + const double C = W2 / (1 + W2); + const double g = f * C * C; + const double w = W * (1 + f*C * (a1 + a2*g + a3*g*g)); + const double w2 = w*w; v = 2 * atan(w); r = elements.q * (1 + w2) / (1 + w2 * f); } -CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANearParabolicObjectElements& elements, bool bHighPrecision) +CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANearParabolicObjectElements& elements, bool bHighPrecision) noexcept { double Epsilon = CAANutation::MeanObliquityOfEcliptic(elements.JDEquinox); @@ -82,41 +83,41 @@ CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANe CAANearParabolicObjectDetails details; Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); - double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); - double w = CAACoordinateTransformation::DegreesToRadians(elements.w); - double i = CAACoordinateTransformation::DegreesToRadians(elements.i); - - double sinEpsilon = sin(Epsilon); - double cosEpsilon = cos(Epsilon); - double sinOmega = sin(omega); - double cosOmega = cos(omega); - double cosi = cos(i); - double sini = sin(i); - - double F = cosOmega; - double G = sinOmega * cosEpsilon; - double H = sinOmega * sinEpsilon; - double P = -sinOmega * cosi; - double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; - double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; - double a = sqrt(F*F + P*P); - double b = sqrt(G*G + Q*Q); - double c = sqrt(H*H + R*R); - double A = atan2(F, P); - double B = atan2(G, Q); - double C = atan2(H, R); - - CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); + const double omega = CAACoordinateTransformation::DegreesToRadians(elements.omega); + const double w = CAACoordinateTransformation::DegreesToRadians(elements.w); + const double i = CAACoordinateTransformation::DegreesToRadians(elements.i); + + const double sinEpsilon = sin(Epsilon); + const double cosEpsilon = cos(Epsilon); + const double sinOmega = sin(omega); + const double cosOmega = cos(omega); + const double cosi = cos(i); + const double sini = sin(i); + + const double F = cosOmega; + const double G = sinOmega * cosEpsilon; + const double H = sinOmega * sinEpsilon; + const double P = -sinOmega * cosi; + const double Q = cosOmega*cosi*cosEpsilon - sini*sinEpsilon; + const double R = cosOmega*cosi*sinEpsilon + sini*cosEpsilon; + const double a = sqrt(F*F + P*P); + const double b = sqrt(G*G + Q*Q); + const double c = sqrt(H*H + R*R); + const double A = atan2(F, P); + const double B = atan2(G, Q); + const double C = atan2(H, R); + + const CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesAnyEquinox(JD, elements.JDEquinox, bHighPrecision); for (int j=0; j<2; j++) { double v; double r; - CalulateTrueAnnomalyAndRadius(JD0, elements, v, r); + CalculateTrueAnnomalyAndRadius(JD0, elements, v, r); - double x = r * a * sin(A + w + v); - double y = r * b * sin(B + w + v); - double z = r * c * sin(C + w + v); + const double x = r * a * sin(A + w + v); + const double y = r * b * sin(B + w + v); + const double z = r * c * sin(C + w + v); if (j == 0) { @@ -125,9 +126,9 @@ CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANe details.HeliocentricRectangularEquatorial.Z = z; //Calculate the heliocentric ecliptic coordinates also - double u = w + v; - double cosu = cos(u); - double sinu = sin(u); + const double u = w + v; + const double cosu = cos(u); + const double sinu = sin(u); details.HeliocentricRectangularEcliptical.X = r * (cosOmega*cosu - sinOmega*sinu*cosi); details.HeliocentricRectangularEcliptical.Y = r * (sinOmega*cosu + cosOmega*sinu*cosi); @@ -137,15 +138,15 @@ CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANe details.HeliocentricEclipticLatitude = CAACoordinateTransformation::RadiansToDegrees(asin(details.HeliocentricRectangularEcliptical.Z / r)); } - double psi = SunCoord.X + x; - double nu = SunCoord.Y + y; - double sigma = SunCoord.Z + z; + const double psi = SunCoord.X + x; + const double nu = SunCoord.Y + y; + const double sigma = SunCoord.Z + z; double Alpha = atan2(nu, psi); Alpha = CAACoordinateTransformation::RadiansToDegrees(Alpha); double Delta = atan2(sigma, sqrt(psi*psi + nu*nu)); Delta = CAACoordinateTransformation::RadiansToDegrees(Delta); - double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); + const double Distance = sqrt(psi*psi + nu*nu + sigma*sigma); if (j == 0) { @@ -161,7 +162,7 @@ CAANearParabolicObjectDetails CAANearParabolic::Calculate(double JD, const CAANe details.AstrometricGeocentricDistance = Distance; details.AstrometricGeocentricLightTime = CAAElliptical::DistanceToLightTime(Distance); - double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); + const double RES = sqrt(SunCoord.X*SunCoord.X + SunCoord.Y*SunCoord.Y + SunCoord.Z*SunCoord.Z); details.Elongation = CAACoordinateTransformation::RadiansToDegrees(acos((RES*RES + Distance*Distance - r*r) / (2 * RES * Distance))); details.PhaseAngle = CAACoordinateTransformation::RadiansToDegrees(acos((r*r + Distance*Distance - RES*RES) / (2 * r * Distance))); diff --git a/Sources/AAPlus/include/AANearParabolic.h b/Sources/AAPlus/include/AANearParabolic.h new file mode 100644 index 0000000..037a988 --- /dev/null +++ b/Sources/AAPlus/include/AANearParabolic.h @@ -0,0 +1,85 @@ +/* +Module : AANearParabolic.h +Purpose: Implementation for the algorithms for a near parabolic orbit +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AANEARPARABOLIC_H__ +#define __AANEARPARABOLIC_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA3DCoordinate.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAANearParabolicObjectElements +{ +public: +//Member variables + double q = 0; + double i = 0; + double w = 0; + double omega = 0; + double JDEquinox = 0; + double T = 0; + double e = 0; +}; + +class AAPLUS_EXT_CLASS CAANearParabolicObjectDetails +{ +public: +//Member variables + CAA3DCoordinate HeliocentricRectangularEquatorial; + CAA3DCoordinate HeliocentricRectangularEcliptical; + double HeliocentricEclipticLongitude = 0; + double HeliocentricEclipticLatitude = 0; + double TrueGeocentricRA = 0; + double TrueGeocentricDeclination = 0; + double TrueGeocentricDistance = 0; + double TrueGeocentricLightTime = 0; + double AstrometricGeocentricRA = 0; + double AstrometricGeocentricDeclination = 0; + double AstrometricGeocentricDistance = 0; + double AstrometricGeocentricLightTime = 0; + double Elongation = 0; + double PhaseAngle = 0; +}; + +class AAPLUS_EXT_CLASS CAANearParabolic +{ +public: +//Static methods + static CAANearParabolicObjectDetails Calculate(double JD, const CAANearParabolicObjectElements& elements, bool bHighPrecision) noexcept; + static double cbrt(double x) noexcept; + static void CalculateTrueAnnomalyAndRadius(double JD, const CAANearParabolicObjectElements& elements, double& v, double& r) noexcept; +}; + + +#endif //#ifndef __AANEARPARABOLIC_H__ diff --git a/Vendor/AA+/1.6.3/AANeptune.h b/Sources/AAPlus/include/AANeptune.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AANeptune.h rename to Sources/AAPlus/include/AANeptune.h index 8bc0469..78446ad --- a/Vendor/AA+/1.6.3/AANeptune.h +++ b/Sources/AAPlus/include/AANeptune.h @@ -1,9 +1,9 @@ /* -Module : AANEPTUNE.H +Module : AANeptune.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Neptune Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAANeptune { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AANodes.h b/Sources/AAPlus/include/AANodes.h old mode 100755 new mode 100644 similarity index 77% rename from Vendor/AA+/1.6.3/AANodes.h rename to Sources/AAPlus/include/AANodes.h index 7c38bd9..bf9120d --- a/Vendor/AA+/1.6.3/AANodes.h +++ b/Sources/AAPlus/include/AANodes.h @@ -1,9 +1,9 @@ /* -Module : AANODES.H -Purpose: Implementation for the algorithms which calculate passage thro the nodes +Module : AANodes.h +Purpose: Implementation for the algorithms which calculate passage through the nodes Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -43,25 +43,19 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAANodeObjectDetails { public: -//Constructors / Destructors - CAANodeObjectDetails() : t(0), - radius(0) - { - }; - //Member variables - double t; - double radius; + double t = 0; + double radius = 0; }; class AAPLUS_EXT_CLASS CAANodes { public: //Static methods - static CAANodeObjectDetails PassageThroAscendingNode(const CAAEllipticalObjectElements& elements); - static CAANodeObjectDetails PassageThroDescendingNode(const CAAEllipticalObjectElements& elements); - static CAANodeObjectDetails PassageThroAscendingNode(const CAAParabolicObjectElements& elements); - static CAANodeObjectDetails PassageThroDescendingNode(const CAAParabolicObjectElements& elements); + static CAANodeObjectDetails PassageThroAscendingNode(const CAAEllipticalObjectElements& elements) noexcept; + static CAANodeObjectDetails PassageThroDescendingNode(const CAAEllipticalObjectElements& elements) noexcept; + static CAANodeObjectDetails PassageThroAscendingNode(const CAAParabolicObjectElements& elements) noexcept; + static CAANodeObjectDetails PassageThroDescendingNode(const CAAParabolicObjectElements& elements) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AANutation.h b/Sources/AAPlus/include/AANutation.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AANutation.h rename to Sources/AAPlus/include/AANutation.h index f20b433..3d79283 --- a/Vendor/AA+/1.6.3/AANutation.h +++ b/Sources/AAPlus/include/AANutation.h @@ -1,9 +1,9 @@ /* -Module : AANUTATION.H +Module : AANutation.h Purpose: Implementation for the algorithms for Nutation Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +38,12 @@ class AAPLUS_EXT_CLASS CAANutation { public: //Static methods - static double NutationInLongitude(double JD); - static double NutationInObliquity(double JD); - static double NutationInRightAscension(double Alpha, double Delta, double Obliquity, double NutationInLongitude, double NutationInObliquity); - static double NutationInDeclination(double Alpha, double Obliquity, double NutationInLongitude, double NutationInObliquity); - static double MeanObliquityOfEcliptic(double JD); - static double TrueObliquityOfEcliptic(double JD); + static double NutationInLongitude(double JD) noexcept; + static double NutationInObliquity(double JD) noexcept; + static double NutationInRightAscension(double Alpha, double Delta, double Obliquity, double NutationInLongitude, double NutationInObliquity) noexcept; + static double NutationInDeclination(double Alpha, double Obliquity, double NutationInLongitude, double NutationInObliquity) noexcept; + static double MeanObliquityOfEcliptic(double JD) noexcept; + static double TrueObliquityOfEcliptic(double JD) noexcept; }; diff --git a/Sources/AAPlus/include/AAParabolic.h b/Sources/AAPlus/include/AAParabolic.h new file mode 100644 index 0000000..5a9080d --- /dev/null +++ b/Sources/AAPlus/include/AAParabolic.h @@ -0,0 +1,83 @@ +/* +Module : AAParabolic.h +Purpose: Implementation for the algorithms for a parabolic orbit +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAPARABOLIC_H__ +#define __AAPARABOLIC_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA3DCoordinate.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAParabolicObjectElements +{ +public: +//Member variables + double q = 0; + double i = 0; + double w = 0; + double omega = 0; + double JDEquinox = 0; + double T = 0; +}; + +class AAPLUS_EXT_CLASS CAAParabolicObjectDetails +{ +public: +//Member variables + CAA3DCoordinate HeliocentricRectangularEquatorial; + CAA3DCoordinate HeliocentricRectangularEcliptical; + double HeliocentricEclipticLongitude = 0; + double HeliocentricEclipticLatitude = 0; + double TrueGeocentricRA = 0; + double TrueGeocentricDeclination = 0; + double TrueGeocentricDistance = 0; + double TrueGeocentricLightTime = 0; + double AstrometricGeocenticRA = 0; + double AstrometricGeocentricDeclination = 0; + double AstrometricGeocentricDistance = 0; + double AstrometricGeocentricLightTime = 0; + double Elongation = 0; + double PhaseAngle = 0; +}; + +class AAPLUS_EXT_CLASS CAAParabolic +{ +public: +//Static methods + static double CalculateBarkers(double W) noexcept; + static CAAParabolicObjectDetails Calculate(double JD, const CAAParabolicObjectElements& elements, bool bHighPrecision) noexcept; +}; + + +#endif //#ifndef __AAPARABOLIC_H__ diff --git a/Vendor/AA+/1.6.3/AAParallactic.h b/Sources/AAPlus/include/AAParallactic.h old mode 100755 new mode 100644 similarity index 79% rename from Vendor/AA+/1.6.3/AAParallactic.h rename to Sources/AAPlus/include/AAParallactic.h index c8204f1..0b1d36d --- a/Vendor/AA+/1.6.3/AAParallactic.h +++ b/Sources/AAPlus/include/AAParallactic.h @@ -1,9 +1,9 @@ /* -Module : AAPARALLACTIC.H +Module : AAParallactic.h Purpose: Implementation for the algorithms which calculate various celestial globe angles Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,10 +38,10 @@ class AAPLUS_EXT_CLASS CAAParallactic { public: //Static methods - static double ParallacticAngle(double HourAngle, double Latitude, double delta); - static double EclipticLongitudeOnHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude); - static double AngleBetweenEclipticAndHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude); - static double AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double Lambda, double Beta, double ObliquityOfEcliptic); + static double ParallacticAngle(double HourAngle, double Latitude, double delta) noexcept; + static double EclipticLongitudeOnHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) noexcept; + static double AngleBetweenEclipticAndHorizon(double LocalSiderealTime, double ObliquityOfEcliptic, double Latitude) noexcept; + static double AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double Lambda, double Beta, double ObliquityOfEcliptic) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAParallax.cpp b/Sources/AAPlus/include/AAParallax.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AAParallax.cpp rename to Sources/AAPlus/include/AAParallax.cpp index 9098bfd..e400987 --- a/Vendor/AA+/1.6.3/AAParallax.cpp +++ b/Sources/AAPlus/include/AAParallax.cpp @@ -1,12 +1,13 @@ /* -Module : AAPARALLAX.CPP +Module : AAParallax.cpp Purpose: Implementation for the algorithms which convert a geocentric set of coordinates to their topocentric equivalent Created: PJN / 29-12-2003 History: PJN / 04-07-2010 Removed unnecessary "Longitude" parameter from method Ecliptic2Topocentric. PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this issue when compiling AA+ on ARM. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -34,42 +35,41 @@ using namespace std; //////////////////////// Macros / Defines /////////////////////////////////////////////// -const double g_AAParallax_C1 = sin(CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, 8.794))); - +constexpr double g_AAParallax_C1 = 4.2634515103856459e-05; //sin(CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, 8.794))); //////////////////////// Implementation ///////////////////////////////////////////////// -double CAAParallax::DistanceToParallax(double Distance) +double CAAParallax::DistanceToParallax(double Distance) noexcept { - double pi = asin(g_AAParallax_C1 / Distance); + const double pi = asin(g_AAParallax_C1 / Distance); return CAACoordinateTransformation::RadiansToDegrees(pi); } -double CAAParallax::ParallaxToDistance(double Parallax) +double CAAParallax::ParallaxToDistance(double Parallax) noexcept { return g_AAParallax_C1 / sin(CAACoordinateTransformation::DegreesToRadians(Parallax)); } -CAA2DCoordinate CAAParallax::Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) +CAA2DCoordinate CAAParallax::Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) noexcept { - double RhoSinThetaPrime = CAAGlobe::RhoSinThetaPrime(Latitude, Height); - double RhoCosThetaPrime = CAAGlobe::RhoCosThetaPrime(Latitude, Height); + const double RhoSinThetaPrime = CAAGlobe::RhoSinThetaPrime(Latitude, Height); + const double RhoCosThetaPrime = CAAGlobe::RhoCosThetaPrime(Latitude, Height); //Calculate the Sidereal time - double theta = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double theta = CAASidereal::ApparentGreenwichSiderealTime(JD); //Convert to radians Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - double cosDelta = cos(Delta); + const double cosDelta = cos(Delta); //Calculate the Parallax - double pi = asin(g_AAParallax_C1 / Distance); + const double pi = asin(g_AAParallax_C1 / Distance); //Calculate the hour angle - double H = CAACoordinateTransformation::HoursToRadians(theta - Longitude/15 - Alpha); - double cosH = cos(H); - double sinH = sin(H); + const double H = CAACoordinateTransformation::HoursToRadians(theta - Longitude/15 - Alpha); + const double cosH = cos(H); + const double sinH = sin(H); CAA2DCoordinate DeltaTopocentric; DeltaTopocentric.X = CAACoordinateTransformation::RadiansToHours(-pi*RhoCosThetaPrime*sinH/cosDelta); @@ -77,29 +77,29 @@ CAA2DCoordinate CAAParallax::Equatorial2TopocentricDelta(double Alpha, double De return DeltaTopocentric; } -CAA2DCoordinate CAAParallax::Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) +CAA2DCoordinate CAAParallax::Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) noexcept { - double RhoSinThetaPrime = CAAGlobe::RhoSinThetaPrime(Latitude, Height); - double RhoCosThetaPrime = CAAGlobe::RhoCosThetaPrime(Latitude, Height); + const double RhoSinThetaPrime = CAAGlobe::RhoSinThetaPrime(Latitude, Height); + const double RhoCosThetaPrime = CAAGlobe::RhoCosThetaPrime(Latitude, Height); //Calculate the Sidereal time - double theta = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double theta = CAASidereal::ApparentGreenwichSiderealTime(JD); //Convert to radians Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - double cosDelta = cos(Delta); + const double cosDelta = cos(Delta); //Calculate the Parallax - double pi = asin(g_AAParallax_C1 / Distance); - double sinpi = sin(pi); + const double pi = asin(g_AAParallax_C1 / Distance); + const double sinpi = sin(pi); //Calculate the hour angle - double H = CAACoordinateTransformation::HoursToRadians(theta - Longitude/15 - Alpha); - double cosH = cos(H); - double sinH = sin(H); + const double H = CAACoordinateTransformation::HoursToRadians(theta - Longitude/15 - Alpha); + const double cosH = cos(H); + const double sinH = sin(H); //Calculate the adjustment in right ascension - double DeltaAlpha = atan2(-RhoCosThetaPrime*sinpi*sinH, cosDelta - RhoCosThetaPrime*sinpi*cosH); + const double DeltaAlpha = atan2(-RhoCosThetaPrime*sinpi*sinH, cosDelta - RhoCosThetaPrime*sinpi*cosH); CAA2DCoordinate Topocentric; Topocentric.X = CAACoordinateTransformation::MapTo0To24Range(Alpha + CAACoordinateTransformation::RadiansToHours(DeltaAlpha)); @@ -108,35 +108,35 @@ CAA2DCoordinate CAAParallax::Equatorial2Topocentric(double Alpha, double Delta, return Topocentric; } -CAATopocentricEclipticDetails CAAParallax::Ecliptic2Topocentric(double Lambda, double Beta, double Semidiameter, double Distance, double Epsilon, double Latitude, double Height, double JD) +CAATopocentricEclipticDetails CAAParallax::Ecliptic2Topocentric(double Lambda, double Beta, double Semidiameter, double Distance, double Epsilon, double Latitude, double Height, double JD) noexcept { - double S = CAAGlobe::RhoSinThetaPrime(Latitude, Height); - double C = CAAGlobe::RhoCosThetaPrime(Latitude, Height); + const double S = CAAGlobe::RhoSinThetaPrime(Latitude, Height); + const double C = CAAGlobe::RhoCosThetaPrime(Latitude, Height); //Convert to radians Lambda = CAACoordinateTransformation::DegreesToRadians(Lambda); Beta = CAACoordinateTransformation::DegreesToRadians(Beta); Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); Semidiameter = CAACoordinateTransformation::DegreesToRadians(Semidiameter); - double sine = sin(Epsilon); - double cose = cos(Epsilon); - double cosBeta = cos(Beta); - double sinBeta = sin(Beta); + const double sine = sin(Epsilon); + const double cose = cos(Epsilon); + const double cosBeta = cos(Beta); + const double sinBeta = sin(Beta); //Calculate the Sidereal time double theta = CAASidereal::ApparentGreenwichSiderealTime(JD); theta = CAACoordinateTransformation::HoursToRadians(theta); - double sintheta = sin(theta); + const double sintheta = sin(theta); //Calculate the Parallax - double pi = asin(g_AAParallax_C1 / Distance); - double sinpi = sin(pi); + const double pi = asin(g_AAParallax_C1 / Distance); + const double sinpi = sin(pi); - double N = cos(Lambda)*cosBeta - C*sinpi*cos(theta); + const double N = cos(Lambda)*cosBeta - C*sinpi*cos(theta); CAATopocentricEclipticDetails Topocentric; Topocentric.Lambda = atan2(sin(Lambda)*cosBeta - sinpi*(S*sine + C*cose*sintheta), N); - double cosTopocentricLambda = cos(Topocentric.Lambda); + const double cosTopocentricLambda = cos(Topocentric.Lambda); Topocentric.Beta = atan(cosTopocentricLambda*(sinBeta - sinpi*(S*cose - C*sine*sintheta)) / N); Topocentric.Semidiameter = asin(cosTopocentricLambda*cos(Topocentric.Beta)*sin(Semidiameter) / N); diff --git a/Vendor/AA+/1.6.3/AAParallax.h b/Sources/AAPlus/include/AAParallax.h old mode 100755 new mode 100644 similarity index 74% rename from Vendor/AA+/1.6.3/AAParallax.h rename to Sources/AAPlus/include/AAParallax.h index da0ef3d..72d3bf3 --- a/Vendor/AA+/1.6.3/AAParallax.h +++ b/Sources/AAPlus/include/AAParallax.h @@ -1,9 +1,9 @@ /* -Module : AAPARALLAX.H +Module : AAParallax.h Purpose: Implementation for the algorithms which convert a geocentric set of coordinates to their topocentric equivalent Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -42,29 +42,22 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAATopocentricEclipticDetails { public: -//Constructors / Destructors - CAATopocentricEclipticDetails() : Lambda(0), - Beta(0), - Semidiameter(0) - { - }; - //Member variables - double Lambda; - double Beta; - double Semidiameter; + double Lambda = 0; + double Beta = 0; + double Semidiameter = 0; }; class AAPLUS_EXT_CLASS CAAParallax { public: //Conversion functions - static CAA2DCoordinate Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD); - static CAA2DCoordinate Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD); - static CAATopocentricEclipticDetails Ecliptic2Topocentric(double Lambda, double Beta, double Semidiameter, double Distance, double Epsilon, double Latitude, double Height, double JD); + static CAA2DCoordinate Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) noexcept; + static CAA2DCoordinate Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD) noexcept; + static CAATopocentricEclipticDetails Ecliptic2Topocentric(double Lambda, double Beta, double Semidiameter, double Distance, double Epsilon, double Latitude, double Height, double JD) noexcept; - static double ParallaxToDistance(double Parallax); - static double DistanceToParallax(double Distance); + static double ParallaxToDistance(double Parallax) noexcept; + static double DistanceToParallax(double Distance) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAPhysicalJupiter.h b/Sources/AAPlus/include/AAPhysicalJupiter.h old mode 100755 new mode 100644 similarity index 67% rename from Vendor/AA+/1.6.3/AAPhysicalJupiter.h rename to Sources/AAPlus/include/AAPhysicalJupiter.h index a46bf06..0c14a34 --- a/Vendor/AA+/1.6.3/AAPhysicalJupiter.h +++ b/Sources/AAPlus/include/AAPhysicalJupiter.h @@ -1,9 +1,9 @@ /* -Module : AAPHYSICALJUPITER.H +Module : AAPhysicalJupiter.h Purpose: Implementation for the algorithms which obtain the physical parameters of Jupiter Created: PJN / 05-01-2004 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,32 +37,21 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAPhysicalJupiterDetails { public: -//Constructors / Destructors - CAAPhysicalJupiterDetails() : DE(0), - DS(0), - Geometricw1(0), - Geometricw2(0), - Apparentw1(0), - Apparentw2(0), - P(0) - { - }; - //Member variables - double DE; - double DS; - double Geometricw1; - double Geometricw2; - double Apparentw1; - double Apparentw2; - double P; + double DE = 0; + double DS = 0; + double Geometricw1 = 0; + double Geometricw2 = 0; + double Apparentw1 = 0; + double Apparentw2 = 0; + double P = 0; }; class AAPLUS_EXT_CLASS CAAPhysicalJupiter { public: //Static methods - static CAAPhysicalJupiterDetails Calculate(double JD, bool bHighPrecision); + static CAAPhysicalJupiterDetails Calculate(double JD, bool bHighPrecision) noexcept; }; #endif //#ifndef __AAPHYSICALJUPITER_H__ diff --git a/Vendor/AA+/1.6.3/AAPhysicalMars.h b/Sources/AAPlus/include/AAPhysicalMars.h old mode 100755 new mode 100644 similarity index 69% rename from Vendor/AA+/1.6.3/AAPhysicalMars.h rename to Sources/AAPlus/include/AAPhysicalMars.h index d3c802d..cc5a84e --- a/Vendor/AA+/1.6.3/AAPhysicalMars.h +++ b/Sources/AAPlus/include/AAPhysicalMars.h @@ -1,9 +1,9 @@ /* -Module : AAPHYSICALMARS.H +Module : AAPhysicalMars.h Purpose: Implementation for the algorithms which obtain the physical parameters of Mars Created: PJN / 04-01-2004 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,33 +37,22 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAPhysicalMarsDetails { public: - CAAPhysicalMarsDetails() : DE(0), - DS(0), - w(0), - P(0), - X(0), - k(0), - q(0), - d(0) - { - }; - //Member variables - double DE; - double DS; - double w; - double P; - double X; - double k; - double q; - double d; + double DE = 0; + double DS = 0; + double w = 0; + double P = 0; + double X = 0; + double k = 0; + double q = 0; + double d = 0; }; class AAPLUS_EXT_CLASS CAAPhysicalMars { public: //Static methods - static CAAPhysicalMarsDetails Calculate(double JD, bool bHighPrecision); + static CAAPhysicalMarsDetails Calculate(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAPhysicalMoon.h b/Sources/AAPlus/include/AAPhysicalMoon.h old mode 100755 new mode 100644 similarity index 65% rename from Vendor/AA+/1.6.3/AAPhysicalMoon.h rename to Sources/AAPlus/include/AAPhysicalMoon.h index 35396a9..d6b1666 --- a/Vendor/AA+/1.6.3/AAPhysicalMoon.h +++ b/Sources/AAPlus/include/AAPhysicalMoon.h @@ -1,9 +1,9 @@ /* -Module : AAPHYSICALMOON.H +Module : AAPhysicalMoon.h Purpose: Implementation for the algorithms which obtain the physical parameters of the Moon Created: PJN / 17-01-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -42,58 +42,40 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAPhysicalMoonDetails { public: -//Constructors / Destructors - CAAPhysicalMoonDetails() : ldash(0), - bdash(0), - ldash2(0), - bdash2(0), - l(0), - b(0), - P(0) - { - }; - //Member variables - double ldash; - double bdash; - double ldash2; - double bdash2; - double l; - double b; - double P; + double ldash = 0; + double bdash = 0; + double ldash2 = 0; + double bdash2 = 0; + double l = 0; + double b = 0; + double P = 0; }; class AAPLUS_EXT_CLASS CAASelenographicMoonDetails { public: -//Constructors / Destructors - CAASelenographicMoonDetails() : l0(0), - b0(0), - c0(0) - { - }; - //Member variables - double l0; - double b0; - double c0; + double l0 = 0; + double b0 = 0; + double c0 = 0; }; class AAPLUS_EXT_CLASS CAAPhysicalMoon { public: //Static methods - static CAAPhysicalMoonDetails CalculateGeocentric(double JD); - static CAAPhysicalMoonDetails CalculateTopocentric(double JD, double Longitude, double Latitude); - static CAASelenographicMoonDetails CalculateSelenographicPositionOfSun(double JD, bool bHighPrecision); - static double AltitudeOfSun(double JD, double Longitude, double Latitude, bool bHighPrecision); - static double TimeOfSunrise(double JD, double Longitude, double Latitude, bool bHighPrecision); - static double TimeOfSunset(double JD, double Longitude, double Latitude, bool bHighPrecision); + static CAAPhysicalMoonDetails CalculateGeocentric(double JD) noexcept; + static CAAPhysicalMoonDetails CalculateTopocentric(double JD, double Longitude, double Latitude) noexcept; + static CAASelenographicMoonDetails CalculateSelenographicPositionOfSun(double JD, bool bHighPrecision) noexcept; + static double AltitudeOfSun(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept; + static double TimeOfSunrise(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept; + static double TimeOfSunset(double JD, double Longitude, double Latitude, bool bHighPrecision) noexcept; protected: - static double SunriseSunsetHelper(double JD, double Longitude, double Latitude, bool bSunrise, bool bHighPrecision); - static CAAPhysicalMoonDetails CalculateHelper(double JD, double& Lambda, double& Beta, double& epsilon, CAA2DCoordinate& Equatorial); - static void CalculateOpticalLibration(double JD, double Lambda, double Beta, double& ldash, double& bdash, double& ldash2, double& bdash2, double& epsilon, double& omega, double& DeltaU, double& sigma, double& I, double& rho); + static double SunriseSunsetHelper(double JD, double Longitude, double Latitude, bool bSunrise, bool bHighPrecision) noexcept; + static CAAPhysicalMoonDetails CalculateHelper(double JD, double& Lambda, double& Beta, double& epsilon, CAA2DCoordinate& Equatorial) noexcept; + static void CalculateOpticalLibration(double JD, double Lambda, double Beta, double& ldash, double& bdash, double& ldash2, double& bdash2, double& epsilon, double& omega, double& DeltaU, double& sigma, double& I, double& rho) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAPhysicalSun.h b/Sources/AAPlus/include/AAPhysicalSun.h old mode 100755 new mode 100644 similarity index 77% rename from Vendor/AA+/1.6.3/AAPhysicalSun.h rename to Sources/AAPlus/include/AAPhysicalSun.h index c78a1a9..06a2f2d --- a/Vendor/AA+/1.6.3/AAPhysicalSun.h +++ b/Sources/AAPlus/include/AAPhysicalSun.h @@ -1,9 +1,9 @@ /* -Module : AAPHYSICALSUN.H +Module : AAPhysicalSun.h Purpose: Implementation for the algorithms which obtain the physical parameters of the Sun Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,25 +37,18 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAPhysicalSunDetails { public: -//Constructors / Destructors - CAAPhysicalSunDetails() : P(0), - B0(0), - L0(0) - { - }; - //Member variables - double P; - double B0; - double L0; + double P = 0; + double B0 = 0; + double L0 = 0; }; class AAPLUS_EXT_CLASS CAAPhysicalSun { public: //Static methods - static CAAPhysicalSunDetails Calculate(double JD, bool bHighPrecision); - static double TimeOfStartOfRotation(long C); + static CAAPhysicalSunDetails Calculate(double JD, bool bHighPrecision) noexcept; + static double TimeOfStartOfRotation(long C) noexcept; }; diff --git a/Sources/AAPlus/include/AAPlanetPerihelionAphelion.cpp b/Sources/AAPlus/include/AAPlanetPerihelionAphelion.cpp new file mode 100644 index 0000000..fb36a9d --- /dev/null +++ b/Sources/AAPlus/include/AAPlanetPerihelionAphelion.cpp @@ -0,0 +1,100 @@ +/* +Module : AAPlanetPerihelionAphelion.cpp +Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets +Created: PJN / 29-12-2003 +History: PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 12-03-2021 1. Changed the behavior of the CAAPlanetPerihelionAphelion::*K methods to now return + the K value before it is rounded. This new behaviour is now consistent with all the + other methods in the AA+ framework which return so called "K" values. This means that + client code must round this value before calling other methods in this class with + this K value. + 2. Merged the separate perihelion and aphelion methods for all the planets except Earth + in CAAPlanetPerihelionAphelion into one method per planet. This new behaviour is now + consistent with all the other methods in the AA+ framework which work with so called + "K" values + 3. Fixed a bug in CAAPlanetPerihelionAphelion::EarthAphelion where the kdash and + ksquared values were not being calculated correctly. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////////// Includes //////////////////////////////////// + +#include "stdafx.h" +#include "AAPlanetPerihelionAphelion.h" +#include "AACoordinateTransformation.h" +#include +using namespace std; + + +///////////////////////////////// Implementation ////////////////////////////// + +double CAAPlanetPerihelionAphelion::EarthPerihelion(double k, bool bBarycentric) noexcept +{ + const double ksquared = k * k; + double JD = 2451547.507 + (365.2596358 * k) + (0.0000000156 * ksquared); + + if (!bBarycentric) + { + //Apply the corrections + double A1 = CAACoordinateTransformation::MapTo0To360Range(328.41 + (132.788585 * k)); + A1 = CAACoordinateTransformation::DegreesToRadians(A1); + double A2 = CAACoordinateTransformation::MapTo0To360Range(316.13 + (584.903153 * k)); + A2 = CAACoordinateTransformation::DegreesToRadians(A2); + double A3 = CAACoordinateTransformation::MapTo0To360Range(346.20 + (450.380738 * k)); + A3 = CAACoordinateTransformation::DegreesToRadians(A3); + double A4 = CAACoordinateTransformation::MapTo0To360Range(136.95 + (659.306737 * k)); + A4 = CAACoordinateTransformation::DegreesToRadians(A4); + double A5 = CAACoordinateTransformation::MapTo0To360Range(249.52 + (329.653368 * k)); + A5 = CAACoordinateTransformation::DegreesToRadians(A5); + + JD += (1.278 * sin(A1)); + JD -= (0.055 * sin(A2)); + JD -= (0.091 * sin(A3)); + JD -= (0.056 * sin(A4)); + JD -= (0.045 * sin(A5)); + } + + return JD; +} + +double CAAPlanetPerihelionAphelion::EarthAphelion(double k, bool bBarycentric) noexcept +{ + const double ksquared = k * k; + double JD = 2451547.507 + (365.2596358 * k) + (0.0000000156 * ksquared); + + if (!bBarycentric) + { + //Apply the corrections + double A1 = CAACoordinateTransformation::MapTo0To360Range(328.41 + (132.788585 * k)); + A1 = CAACoordinateTransformation::DegreesToRadians(A1); + double A2 = CAACoordinateTransformation::MapTo0To360Range(316.13 + (584.903153 * k)); + A2 = CAACoordinateTransformation::DegreesToRadians(A2); + double A3 = CAACoordinateTransformation::MapTo0To360Range(346.20 + (450.380738 * k)); + A3 = CAACoordinateTransformation::DegreesToRadians(A3); + double A4 = CAACoordinateTransformation::MapTo0To360Range(136.95 + (659.306737 * k)); + A4 = CAACoordinateTransformation::DegreesToRadians(A4); + double A5 = CAACoordinateTransformation::MapTo0To360Range(249.52 + (329.653368 * k)); + A5 = CAACoordinateTransformation::DegreesToRadians(A5); + + JD -= (1.352 * sin(A1)); + JD += (0.061 * sin(A2)); + JD += (0.062 * sin(A3)); + JD += (0.029 * sin(A4)); + JD += (0.031 * sin(A5)); + } + + return JD; +} diff --git a/Sources/AAPlus/include/AAPlanetPerihelionAphelion.h b/Sources/AAPlus/include/AAPlanetPerihelionAphelion.h new file mode 100644 index 0000000..fd796c4 --- /dev/null +++ b/Sources/AAPlus/include/AAPlanetPerihelionAphelion.h @@ -0,0 +1,151 @@ +/* +Module : AAPlanetPerihelionAphelion.h +Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets +Created: PJN / 29-12-2003 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAPLANETPERIHELIONAPHELION_H__ +#define __AAPLANETPERIHELIONAPHELION_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAPlanetPerihelionAphelion +{ +public: +//Static methods + constexpr static double MercuryK(double Year) noexcept + { + return 4.15201 * (Year - 2000.12); + } + + constexpr static double Mercury(double k) noexcept + { + return 2451590.257 + (87.96934963 * k); + } + + constexpr static double VenusK(double Year) noexcept + { + return 1.62549 * (Year - 2000.53); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Venus(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2451738.233 + (224.7008188 * kdash) - (0.0000000327 * ksquared); + } + + constexpr static double EarthK(double Year) noexcept + { + return 0.99997 * (Year - 2000.01); + } + + static double EarthPerihelion(double k, bool bBarycentric = false) noexcept; + static double EarthAphelion(double k, bool bBarycentric = false) noexcept; + + constexpr static double MarsK(double Year) noexcept + { + return 0.53166 * (Year - 2001.78); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Mars(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2452195.026 + (686.9957857 * kdash) - (0.0000001187 * ksquared); + } + + constexpr static double JupiterK(double Year) noexcept + { + return 0.08430 * (Year - 2011.20); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Jupiter(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2455636.936 + (4332.897065 * kdash) + (0.0001367 * ksquared); + } + + constexpr static double SaturnK(double Year) noexcept + { + return 0.03393 * (Year - 2003.52); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Saturn(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2452830.12 + (10764.21676 * kdash) + (0.000827 * ksquared); + } + + constexpr static double UranusK(double Year) noexcept + { + return 0.01190 * (Year - 2051.1); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Uranus(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2470213.5 + (30694.8767 * kdash) - (0.00541 * ksquared); + } + + constexpr static double NeptuneK(double Year) noexcept + { + return 0.00607 * (Year - 2047.5); + } + +#ifdef _MSC_VER + #pragma warning(suppress : 26497) +#endif //#ifdef _MSC_VER + constexpr static double Neptune(double k) noexcept + { + const double kdash = k; + const double ksquared = kdash * kdash; + return 2468895.1 + (60190.33 * kdash) + (0.03429 * ksquared); + } +}; + + +#endif //#ifndef __AAPLANETPERIHELIONAPHELION_H__ diff --git a/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.cpp b/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.cpp new file mode 100644 index 0000000..d2a0fb9 --- /dev/null +++ b/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.cpp @@ -0,0 +1,136 @@ +/* +Module : AAPlanetPerihelionAphelion2.cpp +Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets (revised version) +Created: PJN / 02-06-2020 +History: PJN / 02-06-2020 1. Initial implementation + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +///////////////////////////// Includes //////////////////////////////////////// + +#include "stdafx.h" +#include "AAPlanetPerihelionAphelion2.h" +#include "AAMercury.h" +#include "AAVenus.h" +#include "AAEarth.h" +#include "AAMars.h" +#include "AAJupiter.h" +#include "AASaturn.h" +#include "AAUranus.h" +#include "AANeptune.h" +#include "AAPluto.h" +#include "AAInterpolate.h" +#include +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +vector CAAPlanetPerihelionAphelion2::Calculate(double StartJD, double EndJD, Object object, double StepInterval, bool bHighPrecision) +{ + //What will be the return value + vector events; + + double JD = StartJD; + double LastDistance0 = 0; + double LastDistance1 = 0; + while (JD < EndJD) + { + double Distance = 0; + switch (object) + { + case Object::MERCURY: + { + Distance = CAAMercury::RadiusVector(JD, bHighPrecision); + break; + } + case Object::VENUS: + { + Distance = CAAVenus::RadiusVector(JD, bHighPrecision); + break; + } + case Object::EARTH: + { + Distance = CAAEarth::RadiusVector(JD, bHighPrecision); + break; + } + case Object::MARS: + { + Distance = CAAMars::RadiusVector(JD, bHighPrecision); + break; + } + case Object::JUPITER: + { + Distance = CAAJupiter::RadiusVector(JD, bHighPrecision); + break; + } + case Object::SATURN: + { + Distance = CAASaturn::RadiusVector(JD, bHighPrecision); + break; + } + case Object::URANUS: + { + Distance = CAAUranus::RadiusVector(JD, bHighPrecision); + break; + } + case Object::NEPTUNE: + { + Distance = CAANeptune::RadiusVector(JD, bHighPrecision); + break; + } + case Object::PLUTO: + { + Distance = CAAPluto::RadiusVector(JD); //No high precision algorithm for Pluto! + break; + } + default: + { + assert(false); + break; + } + } + + if ((LastDistance0 != 0) && (LastDistance1 != 0)) + { + if ((LastDistance0 > Distance) && (LastDistance0 > LastDistance1)) + { + CAAPlanetPerihelionAphelionDetails2 event; + event.type = CAAPlanetPerihelionAphelionDetails2::Type::Aphelion; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastDistance1, LastDistance0, Distance, fraction); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + else if ((LastDistance0 < Distance) && (LastDistance0 < LastDistance1)) + { + CAAPlanetPerihelionAphelionDetails2 event; + event.type = CAAPlanetPerihelionAphelionDetails2::Type::Perihelion; + double fraction = 0; + event.Value = CAAInterpolate::Extremum(LastDistance1, LastDistance0, Distance, fraction); + event.JD = JD - StepInterval + (fraction * StepInterval); + events.push_back(event); + } + } + + //Prepare for the next loop + LastDistance1 = LastDistance0; + LastDistance0 = Distance; + JD += StepInterval; + } + + return events; +} diff --git a/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.h b/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.h new file mode 100644 index 0000000..9ee17c3 --- /dev/null +++ b/Sources/AAPlus/include/AAPlanetPerihelionAphelion2.h @@ -0,0 +1,82 @@ +/* +Module : AAPlanetPerihelionAphelion2.h +Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets (revised version) +Created: PJN / 01-06-2020 + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAPLANETPERIHELIONAPHELION2_H__ +#define __AAPLANETPERIHELIONAPHELION2_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAPlanetPerihelionAphelionDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + Perihelion = 1, + Aphelion = 2 + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Value = 0; //The actual distance in AU +}; + +class AAPLUS_EXT_CLASS CAAPlanetPerihelionAphelion2 +{ +public: +//Enums + enum class Object + { + MERCURY, + VENUS, + EARTH, + MARS, + JUPITER, + SATURN, + URANUS, + NEPTUNE, + PLUTO + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, Object object, double StepInterval = 0.007, bool bHighPrecision = false); +}; + + +#endif //#ifndef __AAPLANETPERIHELIONAPHELION2_H__ diff --git a/Vendor/AA+/1.6.3/AAPlanetaryPhenomena.h b/Sources/AAPlus/include/AAPlanetaryPhenomena.h old mode 100755 new mode 100644 similarity index 74% rename from Vendor/AA+/1.6.3/AAPlanetaryPhenomena.h rename to Sources/AAPlus/include/AAPlanetaryPhenomena.h index c4e00a4..9b651ee --- a/Vendor/AA+/1.6.3/AAPlanetaryPhenomena.h +++ b/Sources/AAPlus/include/AAPlanetaryPhenomena.h @@ -1,9 +1,9 @@ /* -Module : AAPLANETARYPHENOMENA.H +Module : AAPlanetaryPhenomena.h Purpose: Implementation for the algorithms which obtain the dates of various planetary phenomena Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,7 +38,7 @@ class AAPLUS_EXT_CLASS CAAPlanetaryPhenomena { public: //Enums - enum PlanetaryObject + enum class Planet { MERCURY, VENUS, @@ -49,7 +49,7 @@ class AAPLUS_EXT_CLASS CAAPlanetaryPhenomena NEPTUNE }; - enum EventType + enum class Type { INFERIOR_CONJUNCTION, SUPERIOR_CONJUNCTION, @@ -62,10 +62,10 @@ class AAPLUS_EXT_CLASS CAAPlanetaryPhenomena }; //Static methods - static double K(double Year, PlanetaryObject object, EventType type); - static double Mean(double k, PlanetaryObject object, EventType type); - static double True(double k, PlanetaryObject object, EventType type); - static double ElongationValue(double k, PlanetaryObject object, bool bEastern); + static double K(double Year, Planet planet, Type type) noexcept; + static double Mean(double k, Planet planet, Type type) noexcept; + static double True(double k, Planet planet, Type type) noexcept; + static double ElongationValue(double k, Planet planet, bool bEastern) noexcept; }; diff --git a/Sources/AAPlus/include/AAPlanetaryPhenomena2.h b/Sources/AAPlus/include/AAPlanetaryPhenomena2.h new file mode 100644 index 0000000..782e6c7 --- /dev/null +++ b/Sources/AAPlus/include/AAPlanetaryPhenomena2.h @@ -0,0 +1,110 @@ +/* +Module : AAPlanetaryPhenomena2.h +Purpose: Implementation for the algorithms which obtain the dates of various planetary phenomena (revised version) +Created: PJN / 11-06-2020 + +Copyright (c) 2020 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAPLANETARYPHENOMENA2_H__ +#define __AAPLANETARYPHENOMENA2_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAAPlanetaryPhenomenaDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + InferiorConjunctionInEclipticLongitude = 1, + InferiorConjunctionInRA = 2, + InferiorConjunctionInAngularDistance = 3, + SuperiorConjunctionInEclipticLongitude = 4, + SuperiorConjunctionInRA = 5, + SuperiorConjunctionInAngularDistance = 6, + GreatestWesternElongationInEclipticLongitude = 7, + GreatestWesternElongationInRA = 8, + GreatestWesternElongationInAngularDistance = 9, + GreatestEasternElongationInEclipticLongitude = 10, + GreatestEasternElongationInRA = 11, + GreatestEasternElongationInAngularDistance = 12, + OppositionInEclipticLongitude = 13, + OppositionInRA = 14, + OppositionInAngularDistance = 15, + ConjunctionInEclipticLongitude = 16, + ConjunctionInRA = 17, + ConjunctionInAngularDistance = 18, + Station1InEclipticLongitude = 19, + Station1InRA = 20, + Station2InEclipticLongitude = 21, + Station2InRA = 22, + WesternQuadratureInEclipticLongitude = 23, + WesternQuadratureInRA = 24, + WesternQuadratureInAngularDistance = 25, + EasternQuadratureInEclipticLongitude = 26, + EasternQuadratureInRA = 27, + EasternQuadratureInAngularDistance = 28 + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Value = 0; //The value associated with the event +}; + +class AAPLUS_EXT_CLASS CAAPlanetaryPhenomena2 +{ +public: +//Enums + enum class Object + { + MERCURY, + VENUS, + MARS, + JUPITER, + SATURN, + URANUS, + NEPTUNE + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, Object object, double StepInterval = 0.007, bool bHighPrecision = false); + +protected: + static void CorrectRAValuesForInterpolation(double& Alpha1, double& Alpha2, double& Alpha3) noexcept; + static void CorrectLongitudeValuesForInterpolation(double& Long1, double& Long2, double& Long3) noexcept; +}; + + +#endif //#ifndef __AAPLANETARYPHENOMENA2_H__ diff --git a/Sources/AAPlus/include/AAPluto.cpp b/Sources/AAPlus/include/AAPluto.cpp new file mode 100644 index 0000000..1b3eee0 --- /dev/null +++ b/Sources/AAPlus/include/AAPluto.cpp @@ -0,0 +1,316 @@ +/* +Module : AAPluto.cpp +Purpose: Implementation for the algorithms which obtain the heliocentric position of Pluto +Created: PJN / 29-12-2003 +History: PJN / 07-02-2009 1. Optimized the layout of the PlutoCoefficient1 structure by making all elements + integers instead of doubles. + PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this + issue when compiling AA+ on ARM. + PJN / 01-08-2017 1. Fixed up alignment of lookup tables in AAPluto.cpp module + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + PJN / 13-04-2020 1. Reworked C arrays to use std::array + PJN / 29-04-2020 1. Fixed a compilation issue on GCC where size_t was undefined in various modules. + Thanks to Bert Devlieghe for reporting this bug. + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////// Includes ///////////////////////////////////////////// + +#include "stdafx.h" +#include "AAPluto.h" +#include "AACoordinateTransformation.h" +#include +#include +#include +using namespace std; + + +//////////////////////// Macros / Defines ///////////////////////////////////// + +#ifdef _MSC_VER +#pragma warning(disable : 26446 26482 26485) +#endif //#ifdef _MSC_VER + +struct PlutoCoefficient1 +{ + int J; + int S; + int P; +}; + +struct PlutoCoefficient2 +{ + double A; + double B; +}; + +constexpr array g_PlutoArgumentCoefficients +{ { + { 0, 0, 1 }, + { 0, 0, 2 }, + { 0, 0, 3 }, + { 0, 0, 4 }, + { 0, 0, 5 }, + { 0, 0, 6 }, + { 0, 1, -1 }, + { 0, 1, 0 }, + { 0, 1, 1 }, + { 0, 1, 2 }, + { 0, 1, 3 }, + { 0, 2, -2 }, + { 0, 2, -1 }, + { 0, 2, 0 }, + { 1, -1, 0 }, + { 1, -1, 1 }, + { 1, 0, -3 }, + { 1, 0, -2 }, + { 1, 0, -1 }, + { 1, 0, 0 }, + { 1, 0, 1 }, + { 1, 0, 2 }, + { 1, 0, 3 }, + { 1, 0, 4 }, + { 1, 1, -3 }, + { 1, 1, -2 }, + { 1, 1, -1 }, + { 1, 1, 0 }, + { 1, 1, 1 }, + { 1, 1, 3 }, + { 2, 0, -6 }, + { 2, 0, -5 }, + { 2, 0, -4 }, + { 2, 0, -3 }, + { 2, 0, -2 }, + { 2, 0, -1 }, + { 2, 0, 0 }, + { 2, 0, 1 }, + { 2, 0, 2 }, + { 2, 0, 3 }, + { 3, 0, -2 }, + { 3, 0, -1 }, + { 3, 0, 0 } +} }; + +constexpr array g_PlutoLongitudeCoefficients +{ { + { -19799805, 19850055 }, + { 897144, -4954829 }, + { 611149, 1211027 }, + { -341243, -189585 }, + { 129287, -34992 }, + { -38164, 30893 }, + { 20442, -9987 }, + { -4063, -5071 }, + { -6016, -3336 }, + { -3956, 3039 }, + { -667, 3572 }, + { 1276, 501 }, + { 1152, -917 }, + { 630, -1277 }, + { 2571, -459 }, + { 899, -1449 }, + { -1016, 1043 }, + { -2343, -1012 }, + { 7042, 788 }, + { 1199, -338 }, + { 418, -67 }, + { 120, -274 }, + { -60, -159 }, + { -82, -29 }, + { -36, -29 }, + { -40, 7 }, + { -14, 22 }, + { 4, 13 }, + { 5, 2 }, + { -1, 0 }, + { 2, 0 }, + { -4, 5 }, + { 4, -7 }, + { 14, 24 }, + { -49, -34 }, + { 163, -48 }, + { 9, -24 }, + { -4, 1 }, + { -3, 1 }, + { 1, 3 }, + { -3, -1 }, + { 5, -3 }, + { 0, 0 } +} }; + +constexpr array g_PlutoLatitudeCoefficients +{ { + { -5452852, -14974862 }, + { 3527812, 1672790 }, + { -1050748, 327647 }, + { 178690, -292153 }, + { 18650, 100340 }, + { -30697, -25823 }, + { 4878, 11248 }, + { 226, -64 }, + { 2030, -836 }, + { 69, -604 }, + { -247, -567 }, + { -57, 1 }, + { -122, 175 }, + { -49, -164 }, + { -197, 199 }, + { -25, 217 }, + { 589, -248 }, + { -269, 711 }, + { 185, 193 }, + { 315, 807 }, + { -130, -43 }, + { 5, 3 }, + { 2, 17 }, + { 2, 5 }, + { 2, 3 }, + { 3, 1 }, + { 2, -1 }, + { 1, -1 }, + { 0, -1 }, + { 0, 0 }, + { 0, -2 }, + { 2, 2 }, + { -7, 0 }, + { 10, -8 }, + { -3, 20 }, + { 6, 5 }, + { 14, 17 }, + { -2, 0 }, + { 0, 0 }, + { 0, 0 }, + { 0, 1 }, + { 0, 0 }, + { 1, 0 } +} }; + +constexpr array g_PlutoRadiusCoefficients +{ { + { 66865439, 68951812 }, + { -11827535, -332538 }, + { 1593179, -1438890 }, + { -18444, 483220 }, + { -65977, -85431 }, + { 31174, -6032 }, + { -5794, 22161 }, + { 4601, 4032 }, + { -1729, 234 }, + { -415, 702 }, + { 239, 723 }, + { 67, -67 }, + { 1034, -451 }, + { -129, 504 }, + { 480, -231 }, + { 2, -441 }, + { -3359, 265 }, + { 7856, -7832 }, + { 36, 45763 }, + { 8663, 8547 }, + { -809, -769 }, + { 263, -144 }, + { -126, 32 }, + { -35, -16 }, + { -19, -4 }, + { -15, 8 }, + { -4, 12 }, + { 5, 6 }, + { 3, 1 }, + { 6, -2 }, + { 2, 2 }, + { -2, -2 }, + { 14, 13 }, + { -63, 13 }, + { 136, -236 }, + { 273, 1065 }, + { 251, 149 }, + { -25, -9 }, + { 9, -2 }, + { -8, 7 }, + { 2, -10 }, + { 19, 35 }, + { 10, 3 } +} }; + + +/////////////////////////////////// Implementation //////////////////////////// + +double CAAPluto::EclipticLongitude(double JD) noexcept +{ + const double T = (JD - 2451545) / 36525; + const double J = 34.35 + 3034.9057*T; + const double S = 50.08 + 1222.1138*T; + const double P = 238.96 + 144.9600*T; + + //Calculate Longitude + double L = 0; + constexpr size_t nPlutoCoefficients = g_PlutoArgumentCoefficients.size(); + for (size_t i=0; i +#include +using namespace std; + + +///////////////////////////// Implementation ////////////////////////////////// + +void CAARiseTransitSet2::AddEvents(vector& events, double LastAltitudeForDetectingRiseSet, double AltitudeForDetectingRiseSet, + double LastAltitudeForInterpolation, double h0, const CAA2DCoordinate& Horizontal, double LastJD, double StepInterval, double LastBearing, + Object object, double LastAltitudeForDetectingTwilight, double AltitudeForTwilight) +{ + if ((object == Object::SUN) && (LastAltitudeForDetectingTwilight != -90)) + { + if ((LastAltitudeForDetectingTwilight < -18) && (AltitudeForTwilight >= -18)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::AstronomicalDawn; + const double fraction = (-18 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingTwilight < -12) && (AltitudeForTwilight >= -12)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::NauticalDawn; + const double fraction = (-12 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingTwilight < -6) && (AltitudeForTwilight >= -6)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::CivilDawn; + const double fraction = (-6 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingTwilight > -18) && (AltitudeForTwilight <= -18)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::AstronomicalDusk; + const double fraction = (-18 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingTwilight > -12) && (AltitudeForTwilight <= -12)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::NauticalDusk; + const double fraction = (-12 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingTwilight > -6) && (AltitudeForTwilight <= -6)) + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::CivilDusk; + const double fraction = (-6 - LastAltitudeForInterpolation) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + } + if (LastAltitudeForDetectingRiseSet != -90) + { + if ((LastAltitudeForDetectingRiseSet < 0) && (AltitudeForDetectingRiseSet >= 0)) //We have just rose above the horizon + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::Rise; + const double fraction = (0 - LastAltitudeForInterpolation + h0) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + else if ((LastAltitudeForDetectingRiseSet > 0) && (AltitudeForDetectingRiseSet <= 0)) //We have just set below the horizon + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::Set; + const double fraction = (0 - LastAltitudeForInterpolation + h0) / (Horizontal.Y - LastAltitudeForInterpolation); + event.JD = LastJD + (fraction * StepInterval); + + //Ensure the LastBearing and Horizontal.X values are correct for interpolation + double LastBearing2 = LastBearing; + double HorizontalX2 = Horizontal.X; + if (fabs(HorizontalX2 - LastBearing2) > 180) + { + if (HorizontalX2 > LastBearing2) + LastBearing2 += 360; + else + HorizontalX2 += 360; + } + + event.Bearing = CAACoordinateTransformation::MapTo0To360Range(LastBearing2 + (fraction * (HorizontalX2 - LastBearing2))); + events.push_back(event); + } + } + if (LastBearing != -1) + { + if ((LastBearing > 270) && (Horizontal.X >= 0) && (Horizontal.X <= 90)) //We have just crossed the southern meridian from east to west + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::SouthernTransit; + const double fraction = (360 - LastBearing) / (Horizontal.X + (360 - LastBearing)); + event.JD = LastJD + (fraction * StepInterval); + event.GeometricAltitude = LastAltitudeForInterpolation + (fraction * (Horizontal.Y - LastAltitudeForInterpolation)); + event.bAboveHorizon = (AltitudeForDetectingRiseSet > 0); + events.push_back(event); + } + else if ((LastBearing < 90) && (Horizontal.X >= 270) && (Horizontal.X <= 360)) //We have just crossed the southern meridian from west to east + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::SouthernTransit; + const double fraction = LastBearing / (360 - Horizontal.X + LastBearing); + event.JD = LastJD + (fraction * StepInterval); + event.GeometricAltitude = LastAltitudeForInterpolation + (fraction * (Horizontal.Y - LastAltitudeForInterpolation)); + event.bAboveHorizon = (AltitudeForDetectingRiseSet > 0); + events.push_back(event); + } + else if ((LastBearing < 180) && (Horizontal.X >= 180)) //We have just crossed the northern meridian from west to east + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::NorthernTransit; + const double fraction = (180 - LastBearing) / (Horizontal.X - LastBearing); + event.JD = LastJD + (fraction * StepInterval); + event.GeometricAltitude = LastAltitudeForInterpolation + (fraction * (Horizontal.Y - LastAltitudeForInterpolation)); + event.bAboveHorizon = (AltitudeForDetectingRiseSet > 0); + events.push_back(event); + } + else if ((LastBearing > 180) && (Horizontal.X <= 180)) //We have just crossed the northern meridian from east to west + { + CAARiseTransitSetDetails2 event; + event.type = CAARiseTransitSetDetails2::Type::NorthernTransit; + const double fraction = ((LastBearing - 180) / (LastBearing - Horizontal.X)); + event.JD = LastJD + (fraction * StepInterval); + event.GeometricAltitude = LastAltitudeForInterpolation + (fraction * (Horizontal.Y - LastAltitudeForInterpolation)); + event.bAboveHorizon = (AltitudeForDetectingRiseSet > 0); + events.push_back(event); + } + } +} + +vector CAARiseTransitSet2::Calculate(double StartJD, double EndJD, Object object, double Longitude, double Latitude, double h0, double StepInterval, bool bHighPrecision) +{ + //What will be the return value + vector events; + + const double LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(Longitude); + double JD = StartJD; + double LastJD = 0; + double LastAltitudeForDetectingRiseSet = -90; + double LastAltitudeForInterpolation = -90; + double LastAltitudeForDetectingTwilight = -90; + double LastBearing = -1; + while (JD < EndJD) + { + CAAEllipticalPlanetaryDetails details; + CAA2DCoordinate Topo; + switch (object) + { + case Object::SUN: + { + const double Long = CAASun::ApparentEclipticLongitude(JD, bHighPrecision); + const double Lat = CAASun::ApparentEclipticLatitude(JD, bHighPrecision); + const CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Long, Lat, CAANutation::TrueObliquityOfEcliptic(JD)); + const double SunRad = CAAEarth::RadiusVector(JD, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(Equatorial.X, Equatorial.Y, SunRad, Longitude, Latitude, 0, JD); + break; + } + case Object::MOON: + { + const double Long = CAAMoon::EclipticLongitude(JD); + const double Lat = CAAMoon::EclipticLatitude(JD); + const CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Long, Lat, CAANutation::TrueObliquityOfEcliptic(JD)); + const double MoonRad = CAAMoon::RadiusVector(JD) / 149597871; //Convert Kms to AUs + Topo = CAAParallax::Equatorial2Topocentric(Equatorial.X, Equatorial.Y, MoonRad, Longitude, Latitude, 0, JD); + break; + } + case Object::MERCURY: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::MERCURY, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::VENUS: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::VENUS, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::MARS: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::MARS, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::JUPITER: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::JUPITER, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::SATURN: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::SATURN, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::URANUS: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::URANUS, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + case Object::NEPTUNE: + { + details = CAAElliptical::Calculate(JD, CAAElliptical::Object::NEPTUNE, bHighPrecision); + Topo = CAAParallax::Equatorial2Topocentric(details.ApparentGeocentricRA, details.ApparentGeocentricDeclination, details.ApparentGeocentricDistance, Longitude, Latitude, 0, JD); + break; + } + default: + { + assert(false); + break; + } + } + const double AST = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double LocalHourAngle = AST - LongtitudeAsHourAngle - Topo.X; + const CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, Topo.Y, Latitude); + const double AltitudeForDetectingRiseSet = Horizontal.Y - h0; + + //Call the helper method to add any found events + AddEvents(events, LastAltitudeForDetectingRiseSet, AltitudeForDetectingRiseSet, LastAltitudeForInterpolation, h0, Horizontal, LastJD, StepInterval, LastBearing, object, LastAltitudeForDetectingTwilight, Horizontal.Y); + + //Prepare for the next loop + LastAltitudeForDetectingRiseSet = AltitudeForDetectingRiseSet; + LastAltitudeForInterpolation = Horizontal.Y; + LastAltitudeForDetectingTwilight = Horizontal.Y; + LastBearing = Horizontal.X; + LastJD = JD; + JD += StepInterval; + } + + return events; +} + +//The higher accuracy version for the moon where the "standard altitude" is not treated as a constant +vector CAARiseTransitSet2::CalculateMoon(double StartJD, double EndJD, double Longitude, double Latitude, double RefractionAtHorizon, double StepInterval, MoonAlgorithm algorithm) +{ + //What will be the return value + vector events; + + const double LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(Longitude); + double JD = StartJD; + double LastJD = 0; + double LastAltitudeForDetectingRiseSet = -90; + double LastAltitudeForInterpolation = -90; + double LastBearing = -1; + while (JD < EndJD) + { + CAA2DCoordinate MoonPos; + double MoonRad = 0; + switch (algorithm) + { + case MoonAlgorithm::MeeusTruncated: + { + MoonPos.X = CAAMoon::EclipticLongitude(JD); + MoonPos.Y = CAAMoon::EclipticLatitude(JD); + MoonRad = CAAMoon::RadiusVector(JD); + break; + } +#ifndef AAPLUS_NO_ELP2000 + case MoonAlgorithm::ELP2000: + { + MoonPos = CAAPrecession::PrecessEcliptic(CAAELP2000::EclipticLongitude(JD), CAAELP2000::EclipticLatitude(JD), 2451545.0, JD); + MoonRad = CAAELP2000::RadiusVector(JD); + break; + } +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + case MoonAlgorithm::ELPMPP02Nominal: + { + MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::Nominal), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::Nominal), 2451545.0, JD); + MoonRad = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::Nominal); + break; + } + case MoonAlgorithm::ELPMPP02LLR: + { + MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::LLR), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::LLR), 2451545.0, JD); + MoonRad = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::LLR); + break; + } + case MoonAlgorithm::ELPMPP02DE405: + { + MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE405), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE405), 2451545.0, JD); + MoonRad = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::DE405); + break; + } + case MoonAlgorithm::ELPMPP02DE406: + { + MoonPos = CAAPrecession::PrecessEcliptic(CAAELPMPP02::EclipticLongitude(JD, CAAELPMPP02::Correction::DE406), CAAELPMPP02::EclipticLatitude(JD, CAAELPMPP02::Correction::DE406), 2451545.0, JD); + MoonRad = CAAELPMPP02::RadiusVector(JD, CAAELPMPP02::Correction::DE406); + break; + } +#endif //#ifndef AAPLUS_NO_ELPMPP02 + default: + { + assert(false); + break; + } + } + + const CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(MoonPos.X, MoonPos.Y, CAANutation::TrueObliquityOfEcliptic(JD)); + const CAA2DCoordinate Topo = CAAParallax::Equatorial2Topocentric(Equatorial.X, Equatorial.Y, MoonRad / 149597871, Longitude, Latitude, 0, JD); + const double AST = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double LocalHourAngle = AST - LongtitudeAsHourAngle - Topo.X; + const CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, Topo.Y, Latitude); + const double h0 = RefractionAtHorizon - CAACoordinateTransformation::RadiansToDegrees(asin(1737.4 / MoonRad)); + const double AltitudeForDetectingRiseSet = (Horizontal.Y - h0); + + //Call the helper method to add any found events + AddEvents(events, LastAltitudeForDetectingRiseSet, AltitudeForDetectingRiseSet, LastAltitudeForInterpolation, h0, Horizontal, LastJD, StepInterval, LastBearing, Object::MOON, 0, 0); + + //Prepare for the next loop + LastAltitudeForDetectingRiseSet = AltitudeForDetectingRiseSet; + LastAltitudeForInterpolation = Horizontal.Y; + LastBearing = Horizontal.X; + LastJD = JD; + JD += StepInterval; + } + + return events; +} + + +//A version for a stationary object such as a star +vector CAARiseTransitSet2::CalculateStationary(double StartJD, double EndJD, double Alpha, double Delta, double Longitude, double Latitude, double h0, double StepInterval) +{ + //What will be the return value + vector events; + + const double LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(Longitude); + double JD = StartJD; + double LastJD = 0; + double LastAltitudeForDetectingRiseSet = -90; + double LastAltitudeForInterpolation = -90; + double LastBearing = -1; + while (JD < EndJD) + { + const double AST = CAASidereal::ApparentGreenwichSiderealTime(JD); + const double LocalHourAngle = AST - LongtitudeAsHourAngle - Alpha; + const CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, Delta, Latitude); + const double AltitudeForDetectingRiseSet = (Horizontal.Y - h0); + + //Call the helper method to add any found event + AddEvents(events, LastAltitudeForDetectingRiseSet, AltitudeForDetectingRiseSet, LastAltitudeForInterpolation, h0, Horizontal, LastJD, StepInterval, LastBearing, Object::STAR, 0, 0); + + //Prepare for the next loop + LastAltitudeForDetectingRiseSet = AltitudeForDetectingRiseSet; + LastAltitudeForInterpolation = Horizontal.Y; + LastBearing = Horizontal.X; + LastJD = JD; + JD += StepInterval; + } + + return events; +} diff --git a/Sources/AAPlus/include/AARiseTransitSet2.h b/Sources/AAPlus/include/AARiseTransitSet2.h new file mode 100644 index 0000000..12fc42b --- /dev/null +++ b/Sources/AAPlus/include/AARiseTransitSet2.h @@ -0,0 +1,116 @@ +/* +Module : AARiseTransitSet2.h +Purpose: Implementation for the algorithms which obtain the Rise, Transit and Set times (revised version) +Created: PJN / 29-12-2003 + +Copyright (c) 2019 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AARISETRANSITSET2_H__ +#define __AARISETRANSITSET2_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include "AA2DCoordinate.h" +#include + + +/////////////////////// Classes /////////////////////////////////////////////// + +class AAPLUS_EXT_CLASS CAARiseTransitSetDetails2 +{ +public: +//Enums + enum class Type + { + NotDefined = 0, + Rise = 1, + Set = 2, + SouthernTransit = 3, + NorthernTransit = 4, + CivilDusk = 5, + NauticalDusk = 6, + AstronomicalDusk = 7, + AstronomicalDawn = 8, + NauticalDawn = 9, + CivilDawn = 10 + }; + +//Member variables + Type type = Type::NotDefined; //The type of the event which has occurred + double JD = 0; //When the event occurred in TT + double Bearing = 0; //Applicable for rise or sets only, this will be the bearing (degrees west of south) of the event + double GeometricAltitude = false; //For transits only, this will contain the geometric altitude in degrees of the center of the object not including correction for refraction + bool bAboveHorizon = false; //For transits only, this will be true if the transit is visible +}; + +class AAPLUS_EXT_CLASS CAARiseTransitSet2 +{ +public: +//Enums + enum class Object + { + SUN, + MOON, + MERCURY, + VENUS, + MARS, + JUPITER, + SATURN, + URANUS, + NEPTUNE, + STAR + }; + + enum class MoonAlgorithm + { + MeeusTruncated = 0 +#ifndef AAPLUS_NO_ELP2000 + , + ELP2000 = 1 +#endif //#ifndef AAPLUS_NO_ELP2000 +#ifndef AAPLUS_NO_ELPMPP02 + , + ELPMPP02Nominal = 2, + ELPMPP02LLR = 3, + ELPMPP02DE405 = 4, + ELPMPP02DE406 = 5 +#endif //#ifndef AAPLUS_NO_ELPMPP02 + }; + +//Static methods + static std::vector Calculate(double StartJD, double EndJD, Object object, double Longitude, double Latitude, double h0, double StepInterval = 0.007, bool bHighPrecision = false); + static std::vector CalculateMoon(double StartJD, double EndJD, double Longitude, double Latitude, double RefractionAtHorizon = -0.5667, double StepInterval = 0.007, MoonAlgorithm algorithm = MoonAlgorithm::MeeusTruncated); + static std::vector CalculateStationary(double StartJD, double EndJD, double Alpha, double Delta, double Longitude, double Latitude, double h0 = -0.5667, double StepInterval = 0.007); + +protected: + static void AddEvents(std::vector& events, double LastAltitudeForDetectingRiseSet, double AltitudeForDetectingRiseSet, + double LastAltitudeForInterpolation, double h0, const CAA2DCoordinate& Horizontal, double LastJD, double StepInterval, double LastBearing, + Object object, double LastAltitudeForDetectingTwilight, double AltitudeForTwilight); +}; + + +#endif //#ifndef __AARISETRANSITSET2_H__ diff --git a/Vendor/AA+/1.6.3/AASaturn.h b/Sources/AAPlus/include/AASaturn.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AASaturn.h rename to Sources/AAPlus/include/AASaturn.h index 170f405..20dc0c1 --- a/Vendor/AA+/1.6.3/AASaturn.h +++ b/Sources/AAPlus/include/AASaturn.h @@ -1,9 +1,9 @@ /* -Module : AASATURN.H +Module : AASaturn.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Saturn Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAASaturn { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AASaturnMoons.cpp b/Sources/AAPlus/include/AASaturnMoons.cpp old mode 100755 new mode 100644 similarity index 63% rename from Vendor/AA+/1.6.3/AASaturnMoons.cpp rename to Sources/AAPlus/include/AASaturnMoons.cpp index a2bbaa4..8af5556 --- a/Vendor/AA+/1.6.3/AASaturnMoons.cpp +++ b/Sources/AAPlus/include/AASaturnMoons.cpp @@ -1,25 +1,31 @@ /* -Module : AASATURNMOONS.CPP +Module : AASaturnMoons.cpp Purpose: Implementation for the algorithms which obtain the positions of the moons of Saturn Created: PJN / 09-01-2004 -History: PJN / 09-02-2004 1. Updated the values used in the calculation of the a1 and a2 constants +History: PJN / 09-02-2004 1. Updated the values used in the calculation of the a1 and a2 constants for Rhea (satellite V) following an email from Jean Meeus confirming - that these constants are indeed incorrect as published in the book. + that these constants are indeed incorrect as published in the book. PJN / 16-09-2015 1. CAASaturnMoons::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's book. + PJN / 12-02-2017 1. Fixed a copy and paste bug in CAASaturnMoons::CalculateHelper in the calculation + of the value mu for the eight moon (Iapetus). Thanks to Cedric Foellmi for + reporting this issue. + PJN / 24-07-2018 1. Fixed a GCC warning in the method CAASaturnMoons::HelperSubroutine. Thanks to + Todd Carnes for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. Copyright / Usage Details: -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. */ @@ -40,36 +46,36 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -void CAASaturnMoons::HelperSubroutine(double e, double lambdadash, double p, double a, double omega, double i, double c1, double s1, double& r, double& lambda, double& gamma, double& w) +void CAASaturnMoons::HelperSubroutine(double e, double lambdadash, double p, double a, double omega, double i, double c1, double s1, double& r, double& lambda, double& gamma, double& w) noexcept { double e2 = e*e; - double e3 = e2*e; - double e4 = e3*e; - double e5 = e4*e; - double M = CAACoordinateTransformation::DegreesToRadians(lambdadash - p); - - double Crad = (2*e - 0.25*e3 + 0.0520833333*e5)*sin(M) + - (1.25*e2 - 0.458333333*e4)*sin(2*M) + - (1.083333333*e3 - 0.671875*e5)*sin(3*M) + - 1.072917*e4*sin(4*M) + 1.142708*e5*sin(5*M); + const double e3 = e2*e; + const double e4 = e3*e; + const double e5 = e4*e; + const double M = CAACoordinateTransformation::DegreesToRadians(lambdadash - p); + + const double Crad = (2*e - 0.25*e3 + 0.0520833333*e5)*sin(M) + + (1.25*e2 - 0.458333333*e4)*sin(2*M) + + (1.083333333*e3 - 0.671875*e5)*sin(3*M) + + 1.072917*e4*sin(4*M) + 1.142708*e5*sin(5*M); double C = CAACoordinateTransformation::RadiansToDegrees(Crad); r = a*(1 - e2)/(1 + e*cos(M + Crad)); double g = omega - 168.8112; - double grad = CAACoordinateTransformation::DegreesToRadians(g); - double irad = CAACoordinateTransformation::DegreesToRadians(i); - double a1 = sin(irad)*sin(grad); - double a2 = c1*sin(irad)*cos(grad) - s1*cos(irad); + const double grad = CAACoordinateTransformation::DegreesToRadians(g); + const double irad = CAACoordinateTransformation::DegreesToRadians(i); + const double a1 = sin(irad)*sin(grad); + const double a2 = c1*sin(irad)*cos(grad) - s1*cos(irad); gamma = CAACoordinateTransformation::RadiansToDegrees(asin(sqrt(a1*a1 + a2*a2))); - double urad = atan2(a1, a2); + const double urad = atan2(a1, a2); double u = CAACoordinateTransformation::RadiansToDegrees(urad); w = CAACoordinateTransformation::MapTo0To360Range(168.8112 + u); - double h = c1*sin(irad) - s1*cos(irad)*cos(grad); - double psirad = atan2(s1*sin(grad), h); + const double h = c1*sin(irad) - s1*cos(irad)*cos(grad); + const double psirad = atan2(s1*sin(grad), h); double psi = CAACoordinateTransformation::RadiansToDegrees(psirad); lambda = lambdadash + C + u - g - psi; } -CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) +CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) noexcept { //What will be the return value CAASaturnMoonsDetails details; @@ -86,11 +92,11 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr while (bIterate) { //Calculate the position of Saturn - double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAASaturn::RadiusVector(JD1, bHighPrecision); + const double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAASaturn::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad) + R*cos(sunlongrad); y = r*cos(brad)*sin(lrad) + R*sin(sunlongrad); @@ -99,7 +105,7 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr LightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2E-6); //2E-6 corresponds to 0.17 of a second + bIterate = (fabs(LightTravelTime - PreviousLightTravelTime) > 2e-6); //2e-6 corresponds to 0.17 of a second if (bIterate) { JD1 = JD - LightTravelTime; @@ -114,52 +120,52 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr beta0 = CAACoordinateTransformation::RadiansToDegrees(beta0); //Precess the longtitude and Latitutude to B1950.0 - CAA2DCoordinate Saturn1950 = CAAPrecession::PrecessEcliptic(lambda0, beta0, JD, 2433282.4235); + const CAA2DCoordinate Saturn1950 = CAAPrecession::PrecessEcliptic(lambda0, beta0, JD, 2433282.4235); lambda0 = Saturn1950.X; - double lambda0rad = CAACoordinateTransformation::DegreesToRadians(lambda0); + const double lambda0rad = CAACoordinateTransformation::DegreesToRadians(lambda0); beta0 = Saturn1950.Y; - double beta0rad = CAACoordinateTransformation::DegreesToRadians(beta0); - - double JDE = JD - LightTravelTime; - - double t1 = JDE - 2411093.0; - double t2 = t1/365.25; - double t3 = ((JDE - 2433282.423)/365.25) + 1950.0; - double t4 = JDE - 2411368.0; - double t5 = t4/365.25; - double t6 = JDE - 2415020.0; - double t7 = t6/36525.0; - double t8 = t6/365.25; - double t9 = (JDE - 2442000.5)/365.25; - double t10 = JDE - 2409786.0; - double t11 = t10/36525.0; - double t112 = t11*t11; - double t113 = t112*t11; - - double W0 = CAACoordinateTransformation::MapTo0To360Range(5.095*(t3 - 1866.39)); - double W0rad = CAACoordinateTransformation::DegreesToRadians(W0); - double W1 = CAACoordinateTransformation::MapTo0To360Range(74.4 + 32.39*t2); - double W1rad = CAACoordinateTransformation::DegreesToRadians(W1); - double W2 = CAACoordinateTransformation::MapTo0To360Range(134.3 + 92.62*t2); - double W2rad = CAACoordinateTransformation::DegreesToRadians(W2); - double W3 = CAACoordinateTransformation::MapTo0To360Range(42.0 - 0.5118*t5); - double W3rad = CAACoordinateTransformation::DegreesToRadians(W3); - double W4 = CAACoordinateTransformation::MapTo0To360Range(276.59 + 0.5118*t5); - double W4rad = CAACoordinateTransformation::DegreesToRadians(W4); - double W5 = CAACoordinateTransformation::MapTo0To360Range(267.2635 + 1222.1136*t7); - double W5rad = CAACoordinateTransformation::DegreesToRadians(W5); - double W6 = CAACoordinateTransformation::MapTo0To360Range(175.4762 + 1221.5515*t7); - double W6rad = CAACoordinateTransformation::DegreesToRadians(W6); - double W7 = CAACoordinateTransformation::MapTo0To360Range(2.4891 + 0.002435*t7); - double W7rad = CAACoordinateTransformation::DegreesToRadians(W7); - double W8 = CAACoordinateTransformation::MapTo0To360Range(113.35 - 0.2597*t7); - double W8rad = CAACoordinateTransformation::DegreesToRadians(W8); - - double s1 = sin(CAACoordinateTransformation::DegreesToRadians(28.0817)); - double s2 = sin(CAACoordinateTransformation::DegreesToRadians(168.8112)); - double c1 = cos(CAACoordinateTransformation::DegreesToRadians(28.0817)); - double c2 = cos(CAACoordinateTransformation::DegreesToRadians(168.8112)); - double e1 = 0.05589 - 0.000346*t7; + const double beta0rad = CAACoordinateTransformation::DegreesToRadians(beta0); + + const double JDE = JD - LightTravelTime; + + const double t1 = JDE - 2411093.0; + const double t2 = t1/365.25; + const double t3 = ((JDE - 2433282.423)/365.25) + 1950.0; + const double t4 = JDE - 2411368.0; + const double t5 = t4/365.25; + const double t6 = JDE - 2415020.0; + const double t7 = t6/36525.0; + const double t8 = t6/365.25; + const double t9 = (JDE - 2442000.5)/365.25; + const double t10 = JDE - 2409786.0; + const double t11 = t10/36525.0; + const double t112 = t11*t11; + const double t113 = t112*t11; + + const double W0 = CAACoordinateTransformation::MapTo0To360Range(5.095*(t3 - 1866.39)); + const double W0rad = CAACoordinateTransformation::DegreesToRadians(W0); + const double W1 = CAACoordinateTransformation::MapTo0To360Range(74.4 + 32.39*t2); + const double W1rad = CAACoordinateTransformation::DegreesToRadians(W1); + const double W2 = CAACoordinateTransformation::MapTo0To360Range(134.3 + 92.62*t2); + const double W2rad = CAACoordinateTransformation::DegreesToRadians(W2); + const double W3 = CAACoordinateTransformation::MapTo0To360Range(42.0 - 0.5118*t5); + const double W3rad = CAACoordinateTransformation::DegreesToRadians(W3); + const double W4 = CAACoordinateTransformation::MapTo0To360Range(276.59 + 0.5118*t5); + const double W4rad = CAACoordinateTransformation::DegreesToRadians(W4); + const double W5 = CAACoordinateTransformation::MapTo0To360Range(267.2635 + 1222.1136*t7); + const double W5rad = CAACoordinateTransformation::DegreesToRadians(W5); + const double W6 = CAACoordinateTransformation::MapTo0To360Range(175.4762 + 1221.5515*t7); + const double W6rad = CAACoordinateTransformation::DegreesToRadians(W6); + const double W7 = CAACoordinateTransformation::MapTo0To360Range(2.4891 + 0.002435*t7); + const double W7rad = CAACoordinateTransformation::DegreesToRadians(W7); + const double W8 = CAACoordinateTransformation::MapTo0To360Range(113.35 - 0.2597*t7); + const double W8rad = CAACoordinateTransformation::DegreesToRadians(W8); + + const double s1 = sin(CAACoordinateTransformation::DegreesToRadians(28.0817)); + const double s2 = sin(CAACoordinateTransformation::DegreesToRadians(168.8112)); + const double c1 = cos(CAACoordinateTransformation::DegreesToRadians(28.0817)); + const double c2 = cos(CAACoordinateTransformation::DegreesToRadians(168.8112)); + const double e1 = 0.05589 - 0.000346*t7; //Satellite 1 @@ -169,10 +175,10 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr double Mrad = CAACoordinateTransformation::DegreesToRadians(M); double C = 2.18287*sin(Mrad) + 0.025988*sin(2*Mrad) + 0.00043*sin(3*Mrad); double Crad = CAACoordinateTransformation::DegreesToRadians(C); - double lambda1 = CAACoordinateTransformation::MapTo0To360Range(L + C); - double r1 = 3.06879/(1 + 0.01905*cos(Mrad + Crad)); - double gamma1 = 1.563; - double omega1 = CAACoordinateTransformation::MapTo0To360Range(54.5 - 365.072*t2); + const double lambda1 = CAACoordinateTransformation::MapTo0To360Range(L + C); + const double r1 = 3.06879/(1 + 0.01905*cos(Mrad + Crad)); + constexpr double gamma1 = 1.563; + const double omega1 = CAACoordinateTransformation::MapTo0To360Range(54.5 - 365.072*t2); //Satellite 2 L = CAACoordinateTransformation::MapTo0To360Range(200.317 + 262.7319002*t1 + 0.25667*sin(W1rad) + 0.20883*sin(W2rad)); @@ -181,16 +187,16 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr Mrad = CAACoordinateTransformation::DegreesToRadians(M); C = 0.55577*sin(Mrad) + 0.00168*sin(2*Mrad); Crad = CAACoordinateTransformation::DegreesToRadians(C); - double lambda2 = CAACoordinateTransformation::MapTo0To360Range(L + C); - double r2 = 3.94118/(1 + 0.00485*cos(Mrad + Crad)); - double gamma2 = 0.0262; - double omega2 = CAACoordinateTransformation::MapTo0To360Range(348 - 151.95*t2); + const double lambda2 = CAACoordinateTransformation::MapTo0To360Range(L + C); + const double r2 = 3.94118/(1 + 0.00485*cos(Mrad + Crad)); + constexpr double gamma2 = 0.0262; + const double omega2 = CAACoordinateTransformation::MapTo0To360Range(348 - 151.95*t2); //Satellite 3 - double lambda3 = CAACoordinateTransformation::MapTo0To360Range(285.306 + 190.69791226*t1 + 2.063*sin(W0rad) + 0.03409*sin(3*W0rad) + 0.001015*sin(5*W0rad)); - double r3 = 4.880998; - double gamma3 = 1.0976; - double omega3 = CAACoordinateTransformation::MapTo0To360Range(111.33 - 72.2441*t2); + const double lambda3 = CAACoordinateTransformation::MapTo0To360Range(285.306 + 190.69791226*t1 + 2.063*sin(W0rad) + 0.03409*sin(3*W0rad) + 0.001015*sin(5*W0rad)); + constexpr double r3 = 4.880998; + constexpr double gamma3 = 1.0976; + const double omega3 = CAACoordinateTransformation::MapTo0To360Range(111.33 - 72.2441*t2); //Satellite 4 L = CAACoordinateTransformation::MapTo0To360Range(254.712 + 131.53493193*t1 - 0.0215*sin(W1rad) - 0.01733*sin(W2rad)); @@ -199,20 +205,20 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr Mrad = CAACoordinateTransformation::DegreesToRadians(M); C = 0.24717*sin(Mrad) + 0.00033*sin(2*Mrad); Crad = CAACoordinateTransformation::DegreesToRadians(C); - double lambda4 = CAACoordinateTransformation::MapTo0To360Range(L + C); - double r4 = 6.24871/(1 + 0.002157*cos(Mrad + Crad)); - double gamma4 = 0.0139; - double omega4 = CAACoordinateTransformation::MapTo0To360Range(232 - 30.27*t2); + const double lambda4 = CAACoordinateTransformation::MapTo0To360Range(L + C); + const double r4 = 6.24871/(1 + 0.002157*cos(Mrad + Crad)); + constexpr double gamma4 = 0.0139; + const double omega4 = CAACoordinateTransformation::MapTo0To360Range(232 - 30.27*t2); //Satellite 5 - double pdash = 342.7 + 10.057*t2; - double pdashrad = CAACoordinateTransformation::DegreesToRadians(pdash); + const double pdash = 342.7 + 10.057*t2; + const double pdashrad = CAACoordinateTransformation::DegreesToRadians(pdash); double a1 = 0.000265*sin(pdashrad) + 0.001*sin(W4rad); //Note the book uses the incorrect constant 0.01*sin(W4rad); double a2 = 0.000265*cos(pdashrad) + 0.001*cos(W4rad); //Note the book uses the incorrect constant 0.01*cos(W4rad); double e = sqrt(a1*a1 + a2*a2); p = CAACoordinateTransformation::RadiansToDegrees(atan2(a1, a2)); - double N = 345 - 10.057*t2; - double Nrad = CAACoordinateTransformation::DegreesToRadians(N); + const double N = 345 - 10.057*t2; + const double Nrad = CAACoordinateTransformation::DegreesToRadians(N); double lambdadash = CAACoordinateTransformation::MapTo0To360Range(359.244 + 79.69004720*t1 + 0.086754*sin(Nrad)); double i = 28.0362 + 0.346898*cos(Nrad) + 0.01930*cos(W3rad); double omega = 168.8034 + 0.736936*sin(Nrad) + 0.041*sin(W3rad); @@ -228,15 +234,15 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr double idash = 27.45141 + 0.295999*cos(W3rad); double idashrad = CAACoordinateTransformation::DegreesToRadians(idash); double omegadash = 168.66925 + 0.628808*sin(W3rad); - double omegadashrad = CAACoordinateTransformation::DegreesToRadians(omegadash); + const double omegadashrad = CAACoordinateTransformation::DegreesToRadians(omegadash); a1 = sin(W7rad)*sin(omegadashrad - W8rad); a2 = cos(W7rad)*sin(idashrad) - sin(W7rad)*cos(idashrad)*cos(omegadashrad - W8rad); - double g0 = CAACoordinateTransformation::DegreesToRadians(102.8623); + constexpr double g0 = CAACoordinateTransformation::DegreesToRadians(102.8623); double psi = atan2(a1, a2); if (a2 < 0) psi += CAACoordinateTransformation::PI(); - double psideg = CAACoordinateTransformation::RadiansToDegrees(psi); - double s = sqrt(a1*a1 + a2*a2); + const double psideg = CAACoordinateTransformation::RadiansToDegrees(psi); + const double s = sqrt(a1*a1 + a2*a2); double g = W4 - omegadash - psideg; double w_ = 0; for (int j=0; j<3; j++) @@ -244,17 +250,17 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr w_ = W4 + 0.37515*(sin(2*CAACoordinateTransformation::DegreesToRadians(g)) - sin(2*g0)); g = w_ - omegadash - psideg; } - double grad = CAACoordinateTransformation::DegreesToRadians(g); + const double grad = CAACoordinateTransformation::DegreesToRadians(g); double edash = 0.029092 + 0.00019048*(cos(2*grad) - cos(2*g0)); - double q = CAACoordinateTransformation::DegreesToRadians(2*(W5 - w_)); - double b1 = sin(idashrad)*sin(omegadashrad - W8rad); - double b2 = cos(W7rad)*sin(idashrad)*cos(omegadashrad - W8rad) - sin(W7rad)*cos(idashrad); - double atanb1b2 = atan2(b1, b2); + const double q = CAACoordinateTransformation::DegreesToRadians(2*(W5 - w_)); + const double b1 = sin(idashrad)*sin(omegadashrad - W8rad); + const double b2 = cos(W7rad)*sin(idashrad)*cos(omegadashrad - W8rad) - sin(W7rad)*cos(idashrad); + const double atanb1b2 = atan2(b1, b2); double theta = atanb1b2 + W8rad; e = edash + 0.002778797*edash*cos(q); p = w_ + 0.159215*sin(q); double u = 2*W5rad - 2*theta + psi; - double h = 0.9375*edash*edash*sin(q) + 0.1875*s*s*sin(2*(W5rad - theta)); + const double h = 0.9375*edash*edash*sin(q) + 0.1875*s*s*sin(2*(W5rad - theta)); lambdadash = CAACoordinateTransformation::MapTo0To360Range(L - 0.254744*(e1*sin(W6rad) + 0.75*e1*e1*sin(2*W6rad) + h)); i = idash + 0.031843*s*cos(u); omega = omegadash + (0.031843*s*sin(u))/sin(idashrad); @@ -266,20 +272,20 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr HelperSubroutine(e, lambdadash, p, a, omega, i, c1, s1, r6, lambda6, gamma6, omega6); //Satellite 7 - double eta = 92.39 + 0.5621071*t6; - double etarad = CAACoordinateTransformation::DegreesToRadians(eta); - double zeta = 148.19 - 19.18*t8; - double zetarad = CAACoordinateTransformation::DegreesToRadians(zeta); + const double eta = 92.39 + 0.5621071*t6; + const double etarad = CAACoordinateTransformation::DegreesToRadians(eta); + const double zeta = 148.19 - 19.18*t8; + const double zetarad = CAACoordinateTransformation::DegreesToRadians(zeta); theta = CAACoordinateTransformation::DegreesToRadians(184.8 - 35.41*t9); - double thetadash = theta - CAACoordinateTransformation::DegreesToRadians(7.5); - double as = CAACoordinateTransformation::DegreesToRadians(176 + 12.22*t8); - double bs = CAACoordinateTransformation::DegreesToRadians(8 + 24.44*t8); - double cs = bs + CAACoordinateTransformation::DegreesToRadians(5); + const double thetadash = theta - CAACoordinateTransformation::DegreesToRadians(7.5); + const double as = CAACoordinateTransformation::DegreesToRadians(176 + 12.22*t8); + const double bs = CAACoordinateTransformation::DegreesToRadians(8 + 24.44*t8); + const double cs = bs + CAACoordinateTransformation::DegreesToRadians(5); w_ = 69.898 - 18.67088*t8; double phi = 2*(w_ - W5); double phirad = CAACoordinateTransformation::DegreesToRadians(phi); - double chi = 94.9 - 2.292*t8; - double chirad = CAACoordinateTransformation::DegreesToRadians(chi); + const double chi = 94.9 - 2.292*t8; + const double chirad = CAACoordinateTransformation::DegreesToRadians(chi); a = 24.50601 - 0.08686*cos(etarad) - 0.00166*cos(zetarad + etarad) + 0.00175*cos(zetarad - etarad); e = 0.103458 - 0.004099*cos(etarad) - 0.000167*cos(zetarad + etarad) + 0.000235*cos(zetarad - etarad) + 0.02303*cos(zetarad) - 0.00212*cos(2*zetarad) + 0.000151*cos(3*zetarad) + 0.00013*cos(phirad); @@ -300,35 +306,34 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr //Satellite 8 L = CAACoordinateTransformation::MapTo0To360Range(261.1582 + 22.57697855*t4); - double w_dash = 91.796 + 0.562*t7; + const double w_dash = 91.796 + 0.562*t7; psi = 4.367 - 0.195*t7; - double psirad = CAACoordinateTransformation::DegreesToRadians(psi); + const double psirad = CAACoordinateTransformation::DegreesToRadians(psi); theta = 146.819 - 3.198*t7; phi = 60.470 + 1.521*t7; phirad = CAACoordinateTransformation::DegreesToRadians(phi); - double PHI = 205.055 - 2.091*t7; + const double PHI = 205.055 - 2.091*t7; edash = 0.028298 + 0.001156*t11; - double w_0 = 352.91 + 11.71*t11; - double mu = CAACoordinateTransformation::MapTo0To360Range(76.3852 + 4.53795125*t10); - mu = CAACoordinateTransformation::MapTo0To360Range(189097.71668440815); + const double w_0 = 352.91 + 11.71*t11; + const double mu = CAACoordinateTransformation::MapTo0To360Range(76.3852 + 4.53795125*t10); idash = 18.4602 - 0.9518*t11 - 0.072*t112 + 0.0054*t113; idashrad = CAACoordinateTransformation::DegreesToRadians(idash); omegadash = 143.198 - 3.919*t11 + 0.116*t112 + 0.008*t113; - double l = CAACoordinateTransformation::DegreesToRadians(mu - w_0); + const double l = CAACoordinateTransformation::DegreesToRadians(mu - w_0); g = CAACoordinateTransformation::DegreesToRadians(w_0 - omegadash - psi); - double g1 = CAACoordinateTransformation::DegreesToRadians(w_0 - omegadash - phi); - double ls = CAACoordinateTransformation::DegreesToRadians(W5 - w_dash); - double gs = CAACoordinateTransformation::DegreesToRadians(w_dash - theta); - double lt = CAACoordinateTransformation::DegreesToRadians(L - W4); - double gt = CAACoordinateTransformation::DegreesToRadians(W4 - PHI); - double u1 = 2*(l + g - ls - gs); - double u2 = l + g1 - lt - gt; - double u3 = l + 2*(g - ls - gs); - double u4 = lt + gt - g1; - double u5 = 2*(ls + gs); + const double g1 = CAACoordinateTransformation::DegreesToRadians(w_0 - omegadash - phi); + const double ls = CAACoordinateTransformation::DegreesToRadians(W5 - w_dash); + const double gs = CAACoordinateTransformation::DegreesToRadians(w_dash - theta); + const double lt = CAACoordinateTransformation::DegreesToRadians(L - W4); + const double gt = CAACoordinateTransformation::DegreesToRadians(W4 - PHI); + const double u1 = 2*(l + g - ls - gs); + const double u2 = l + g1 - lt - gt; + const double u3 = l + 2*(g - ls - gs); + const double u4 = lt + gt - g1; + const double u5 = 2*(ls + gs); a = 58.935028 + 0.004638*cos(u1) + 0.058222*cos(u2); e = edash - 0.0014097*cos(g1 - gt) + 0.0003733*cos(u5 - 2*g) + - 0.0001180*cos(u3) + 0.0002408*cos(l) + + 0.0001180*cos(u3) + 0.0002408*cos(l) + 0.0002849*cos(l + u2) + 0.0006190*cos(u4); double w = 0.08077*sin(g1 - gt) + 0.02139*sin(u5 - 2*g) - 0.00676*sin(u3) + 0.01380*sin(l) + 0.01632*sin(l + u2) + 0.03547*sin(u4); @@ -337,7 +342,7 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr -0.00295*sin(2*ls) - 0.02231*sin(u5) + 0.00650*sin(u5 + psirad); i = idash + 0.04204*cos(u5 + psirad) + 0.00235*cos(l + g1 + lt + gt + phirad) + 0.00360*cos(u2 + phirad); - double wdash = 0.04204*sin(u5 + psirad) + 0.00235*sin(l + g1 + lt + gt + phirad) + + const double wdash = 0.04204*sin(u5 + psirad) + 0.00235*sin(l + g1 + lt + gt + phirad) + 0.00358*sin(u2 + phirad); omega = omegadash + wdash/sin(idashrad); double lambda8 = 0; @@ -349,70 +354,70 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr u = CAACoordinateTransformation::DegreesToRadians(lambda1 - omega1); w = CAACoordinateTransformation::DegreesToRadians(omega1 - 168.8112); - double gamma1rad = CAACoordinateTransformation::DegreesToRadians(gamma1); - double X1 = r1*(cos(u)*cos(w) - sin(u)*cos(gamma1rad)*sin(w)); - double Y1 = r1*(sin(u)*cos(w)*cos(gamma1rad) + cos(u)*sin(w)); - double Z1 = r1*sin(u)*sin(gamma1rad); + constexpr double gamma1rad = CAACoordinateTransformation::DegreesToRadians(gamma1); + const double X1 = r1*(cos(u)*cos(w) - sin(u)*cos(gamma1rad)*sin(w)); + const double Y1 = r1*(sin(u)*cos(w)*cos(gamma1rad) + cos(u)*sin(w)); + const double Z1 = r1*sin(u)*sin(gamma1rad); u = CAACoordinateTransformation::DegreesToRadians(lambda2 - omega2); w = CAACoordinateTransformation::DegreesToRadians(omega2 - 168.8112); - double gamma2rad = CAACoordinateTransformation::DegreesToRadians(gamma2); - double X2 = r2*(cos(u)*cos(w) - sin(u)*cos(gamma2rad)*sin(w)); - double Y2 = r2*(sin(u)*cos(w)*cos(gamma2rad) + cos(u)*sin(w)); - double Z2 = r2*sin(u)*sin(gamma2rad); + constexpr double gamma2rad = CAACoordinateTransformation::DegreesToRadians(gamma2); + const double X2 = r2*(cos(u)*cos(w) - sin(u)*cos(gamma2rad)*sin(w)); + const double Y2 = r2*(sin(u)*cos(w)*cos(gamma2rad) + cos(u)*sin(w)); + const double Z2 = r2*sin(u)*sin(gamma2rad); u = CAACoordinateTransformation::DegreesToRadians(lambda3 - omega3); w = CAACoordinateTransformation::DegreesToRadians(omega3 - 168.8112); - double gamma3rad = CAACoordinateTransformation::DegreesToRadians(gamma3); - double X3 = r3*(cos(u)*cos(w) - sin(u)*cos(gamma3rad)*sin(w)); - double Y3 = r3*(sin(u)*cos(w)*cos(gamma3rad) + cos(u)*sin(w)); - double Z3 = r3*sin(u)*sin(gamma3rad); + constexpr double gamma3rad = CAACoordinateTransformation::DegreesToRadians(gamma3); + const double X3 = r3*(cos(u)*cos(w) - sin(u)*cos(gamma3rad)*sin(w)); + const double Y3 = r3*(sin(u)*cos(w)*cos(gamma3rad) + cos(u)*sin(w)); + const double Z3 = r3*sin(u)*sin(gamma3rad); u = CAACoordinateTransformation::DegreesToRadians(lambda4 - omega4); w = CAACoordinateTransformation::DegreesToRadians(omega4 - 168.8112); - double gamma4rad = CAACoordinateTransformation::DegreesToRadians(gamma4); - double X4 = r4*(cos(u)*cos(w) - sin(u)*cos(gamma4rad)*sin(w)); - double Y4 = r4*(sin(u)*cos(w)*cos(gamma4rad) + cos(u)*sin(w)); - double Z4 = r4*sin(u)*sin(gamma4rad); + constexpr double gamma4rad = CAACoordinateTransformation::DegreesToRadians(gamma4); + const double X4 = r4*(cos(u)*cos(w) - sin(u)*cos(gamma4rad)*sin(w)); + const double Y4 = r4*(sin(u)*cos(w)*cos(gamma4rad) + cos(u)*sin(w)); + const double Z4 = r4*sin(u)*sin(gamma4rad); u = CAACoordinateTransformation::DegreesToRadians(lambda5 - omega5); w = CAACoordinateTransformation::DegreesToRadians(omega5 - 168.8112); - double gamma5rad = CAACoordinateTransformation::DegreesToRadians(gamma5); - double X5 = r5*(cos(u)*cos(w) - sin(u)*cos(gamma5rad)*sin(w)); - double Y5 = r5*(sin(u)*cos(w)*cos(gamma5rad) + cos(u)*sin(w)); - double Z5 = r5*sin(u)*sin(gamma5rad); + const double gamma5rad = CAACoordinateTransformation::DegreesToRadians(gamma5); + const double X5 = r5*(cos(u)*cos(w) - sin(u)*cos(gamma5rad)*sin(w)); + const double Y5 = r5*(sin(u)*cos(w)*cos(gamma5rad) + cos(u)*sin(w)); + const double Z5 = r5*sin(u)*sin(gamma5rad); u = CAACoordinateTransformation::DegreesToRadians(lambda6 - omega6); w = CAACoordinateTransformation::DegreesToRadians(omega6 - 168.8112); - double gamma6rad = CAACoordinateTransformation::DegreesToRadians(gamma6); - double X6 = r6*(cos(u)*cos(w) - sin(u)*cos(gamma6rad)*sin(w)); - double Y6 = r6*(sin(u)*cos(w)*cos(gamma6rad) + cos(u)*sin(w)); - double Z6 = r6*sin(u)*sin(gamma6rad); + const double gamma6rad = CAACoordinateTransformation::DegreesToRadians(gamma6); + const double X6 = r6*(cos(u)*cos(w) - sin(u)*cos(gamma6rad)*sin(w)); + const double Y6 = r6*(sin(u)*cos(w)*cos(gamma6rad) + cos(u)*sin(w)); + const double Z6 = r6*sin(u)*sin(gamma6rad); u = CAACoordinateTransformation::DegreesToRadians(lambda7 - omega7); w = CAACoordinateTransformation::DegreesToRadians(omega7 - 168.8112); - double gamma7rad = CAACoordinateTransformation::DegreesToRadians(gamma7); - double X7 = r7*(cos(u)*cos(w) - sin(u)*cos(gamma7rad)*sin(w)); - double Y7 = r7*(sin(u)*cos(w)*cos(gamma7rad) + cos(u)*sin(w)); - double Z7 = r7*sin(u)*sin(gamma7rad); + const double gamma7rad = CAACoordinateTransformation::DegreesToRadians(gamma7); + const double X7 = r7*(cos(u)*cos(w) - sin(u)*cos(gamma7rad)*sin(w)); + const double Y7 = r7*(sin(u)*cos(w)*cos(gamma7rad) + cos(u)*sin(w)); + const double Z7 = r7*sin(u)*sin(gamma7rad); u = CAACoordinateTransformation::DegreesToRadians(lambda8 - omega8); w = CAACoordinateTransformation::DegreesToRadians(omega8 - 168.8112); - double gamma8rad = CAACoordinateTransformation::DegreesToRadians(gamma8); - double X8 = r8*(cos(u)*cos(w) - sin(u)*cos(gamma8rad)*sin(w)); - double Y8 = r8*(sin(u)*cos(w)*cos(gamma8rad) + cos(u)*sin(w)); - double Z8 = r8*sin(u)*sin(gamma8rad); + const double gamma8rad = CAACoordinateTransformation::DegreesToRadians(gamma8); + const double X8 = r8*(cos(u)*cos(w) - sin(u)*cos(gamma8rad)*sin(w)); + const double Y8 = r8*(sin(u)*cos(w)*cos(gamma8rad) + cos(u)*sin(w)); + const double Z8 = r8*sin(u)*sin(gamma8rad); - double X9 = 0; - double Y9 = 0; - double Z9 = 1; + constexpr double X9 = 0; + constexpr double Y9 = 0; + constexpr double Z9 = 1; //Now do the rotations, first for the ficticious 9th satellite, so that we can calculate D - double A4; - double B4; - double C4; + double A4 = 0; + double B4 = 0; + double C4 = 0; Rotations(X9, Y9, Z9, c1, s1, c2, s2, lambda0rad, beta0rad, A4, B4, C4); - double D = atan2(A4, C4); + const double D = atan2(A4, C4); //Now calculate the values for satellite 1 Rotations(X1, Y1, Z1, c1, s1, c2, s2, lambda0rad, beta0rad, A4, B4, C4); @@ -533,14 +538,14 @@ CAASaturnMoonsDetails CAASaturnMoons::CalculateHelper(double JD, double sunlongr return details; } -CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) +CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) noexcept { //Calculate the position of the Sun - double sunlong = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); - double sunlongrad = CAACoordinateTransformation::DegreesToRadians(sunlong); - double beta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); - double betarad = CAACoordinateTransformation::DegreesToRadians(beta); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double sunlong = CAASun::GeometricEclipticLongitude(JD, bHighPrecision); + const double sunlongrad = CAACoordinateTransformation::DegreesToRadians(sunlong); + const double beta = CAASun::GeometricEclipticLatitude(JD, bHighPrecision); + const double betarad = CAACoordinateTransformation::DegreesToRadians(beta); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); //Calculate the the light travel time from Saturn to the Earth double DELTA = 9; @@ -548,17 +553,17 @@ CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) double EarthLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); double JD1 = JD - EarthLightTravelTime; bool bIterate = true; - double x; - double y; - double z; + double x = 0; + double y = 0; + double z = 0; while (bIterate) { //Calculate the position of Jupiter - double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAASaturn::RadiusVector(JD1, bHighPrecision); + const double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAASaturn::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad) + R*cos(sunlongrad); y = r*cos(brad)*sin(lrad) + R*sin(sunlongrad); @@ -567,7 +572,7 @@ CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) EarthLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2E-6); //2E-6 corresponds to 0.17 of a second + bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2e-6); //2e-6 corresponds to 0.17 of a second if (bIterate) { JD1 = JD - EarthLightTravelTime; @@ -588,16 +593,16 @@ CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) //Calculate the the light travel time from Saturn to the Sun JD1 = JD - EarthLightTravelTime; - double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); - double brad = CAACoordinateTransformation::DegreesToRadians(b); - double r = CAASaturn::RadiusVector(JD1, bHighPrecision); + const double l = CAASaturn::EclipticLongitude(JD1, bHighPrecision); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double b = CAASaturn::EclipticLatitude(JD1, bHighPrecision); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double r = CAASaturn::RadiusVector(JD1, bHighPrecision); x = r*cos(brad)*cos(lrad); y = r*cos(brad)*sin(lrad); z = r*sin(brad); DELTA = sqrt(x*x + y*y + z*z); - double SunLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); + const double SunLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Calculate the details as seen from the Sun CAASaturnMoonsDetails details2 = CalculateHelper(JD + SunLightTravelTime - EarthLightTravelTime, sunlongrad, betarad, 0, bHighPrecision); @@ -631,32 +636,32 @@ CAASaturnMoonsDetails CAASaturnMoons::Calculate(double JD, bool bHighPrecision) return details1; } -void CAASaturnMoons::Rotations(double X, double Y, double Z, double c1, double s1, double c2, double s2, double lambda0, double beta0, double& A4, double& B4, double& C4) +void CAASaturnMoons::Rotations(double X, double Y, double Z, double c1, double s1, double c2, double s2, double lambda0, double beta0, double& A4, double& B4, double& C4) noexcept { //Rotation towards the plane of the ecliptic - double A1 = X; - double B1 = c1*Y - s1*Z; - double C1 = s1*Y + c1*Z; - + const double A1 = X; + const double B1 = c1*Y - s1*Z; + const double C1 = s1*Y + c1*Z; + //Rotation towards the vernal equinox - double A2 = c2*A1 - s2*B1; - double B2 = s2*A1 + c2*B1; - double C2 = C1; + const double A2 = c2*A1 - s2*B1; + const double B2 = s2*A1 + c2*B1; + const double C2 = C1; - double A3 = A2*sin(lambda0) - B2*cos(lambda0); - double B3 = A2*cos(lambda0) + B2*sin(lambda0); - double C3 = C2; + const double A3 = A2*sin(lambda0) - B2*cos(lambda0); + const double B3 = A2*cos(lambda0) + B2*sin(lambda0); + const double C3 = C2; A4 = A3; B4 = B3*cos(beta0) + C3*sin(beta0); C4 = C3*cos(beta0) - B3*sin(beta0); } -void CAASaturnMoons::FillInPhenomenaDetails(CAASaturnMoonDetail& detail) +void CAASaturnMoons::FillInPhenomenaDetails(CAASaturnMoonDetail& detail) noexcept { - double Y1 = 1.108601 * detail.ApparentRectangularCoordinates.Y; + const double Y1 = 1.108601 * detail.ApparentRectangularCoordinates.Y; - double r = Y1*Y1 + detail.ApparentRectangularCoordinates.X*detail.ApparentRectangularCoordinates.X; + const double r = Y1*Y1 + detail.ApparentRectangularCoordinates.X*detail.ApparentRectangularCoordinates.X; if (r < 1) { diff --git a/Vendor/AA+/1.6.3/AASaturnMoons.h b/Sources/AAPlus/include/AASaturnMoons.h old mode 100755 new mode 100644 similarity index 75% rename from Vendor/AA+/1.6.3/AASaturnMoons.h rename to Sources/AAPlus/include/AASaturnMoons.h index 645578b..9efb47c --- a/Vendor/AA+/1.6.3/AASaturnMoons.h +++ b/Sources/AAPlus/include/AASaturnMoons.h @@ -1,9 +1,9 @@ /* -Module : AASATURNMOONS.H -Purpose: Implementation for the algorithms which obtain the positions of Saturn +Module : AASaturnMoons.h +Purpose: Implementation for the algorithms which obtain the positions of the moons of Saturn Created: PJN / 09-01-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -42,21 +42,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAASaturnMoonDetail { public: -//Constructors / Destructors - CAASaturnMoonDetail() : bInTransit(false), - bInOccultation(false), - bInEclipse(false), - bInShadowTransit(false) - { - }; - -//Member variables CAA3DCoordinate TrueRectangularCoordinates; CAA3DCoordinate ApparentRectangularCoordinates; - bool bInTransit; - bool bInOccultation; - bool bInEclipse; - bool bInShadowTransit; + bool bInTransit = false; + bool bInOccultation = false; + bool bInEclipse = false; + bool bInShadowTransit = false; }; class AAPLUS_EXT_CLASS CAASaturnMoonsDetails @@ -77,13 +68,13 @@ class AAPLUS_EXT_CLASS CAASaturnMoons { public: //Static methods - static CAASaturnMoonsDetails Calculate(double JD, bool bHighPrecision); + static CAASaturnMoonsDetails Calculate(double JD, bool bHighPrecision) noexcept; protected: - static CAASaturnMoonsDetails CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision); - static void HelperSubroutine(double e, double lambdadash, double p, double a, double omega, double i, double c1, double s1, double& C, double& r, double& lambda, double& w); - static void Rotations(double X, double Y, double Z, double c1, double s1, double c2, double s2, double lambda0, double beta0, double& A4, double& B4, double& C4); - static void FillInPhenomenaDetails(CAASaturnMoonDetail& detail); + static CAASaturnMoonsDetails CalculateHelper(double JD, double sunlongrad, double betarad, double R, bool bHighPrecision) noexcept; + static void HelperSubroutine(double e, double lambdadash, double p, double a, double omega, double i, double c1, double s1, double& r, double& lambda, double& gamma, double& w) noexcept; + static void Rotations(double X, double Y, double Z, double c1, double s1, double c2, double s2, double lambda0, double beta0, double& A4, double& B4, double& C4) noexcept; + static void FillInPhenomenaDetails(CAASaturnMoonDetail& detail) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AASaturnRings.cpp b/Sources/AAPlus/include/AASaturnRings.cpp old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AASaturnRings.cpp rename to Sources/AAPlus/include/AASaturnRings.cpp index 9bf44c4..dc21446 --- a/Vendor/AA+/1.6.3/AASaturnRings.cpp +++ b/Sources/AAPlus/include/AASaturnRings.cpp @@ -1,5 +1,5 @@ /* -Module : AASATURNRINGS.CPP +Module : AASaturnRings.cpp Purpose: Implementation for the algorithms which calculate various parameters related to the Rings of Saturn Created: PJN / 08-01-2004 History: PJN / 05-07-2015 1. U1 (the Saturnicentric longitude of the Sun) and U2 (the Saturnicentic longitude @@ -14,9 +14,10 @@ History: PJN / 05-07-2015 1. U1 (the Saturnicentric longitude of the Sun) and U2 reporting this bug. PJN / 16-09-2015 1. CAASaturnRings::Calculate now includes a "bool bHighPrecision" parameter which if set to true means the code uses the full VSOP87 theory rather than the - truncated theory as presented in Meeus's book. + truncated theory as presented in Meeus's book. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -47,28 +48,28 @@ using namespace std; //////////////////////////////// Implementation /////////////////////////////// -CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) +CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) noexcept { //What will be the return value CAASaturnRingDetails details; - double T = (JD - 2451545) / 36525; - double T2 = T*T; + const double T = (JD - 2451545) / 36525; + const double T2 = T*T; //Step 1. Calculate the inclination of the plane of the ring and the longitude of the ascending node referred to the ecliptic and mean equinox of the date - double i = 28.075216 - 0.012998*T + 0.000004*T2; - double irad = CAACoordinateTransformation::DegreesToRadians(i); - double omega = 169.508470 + 1.394681*T + 0.000412*T2; - double omegarad = CAACoordinateTransformation::DegreesToRadians(omega); + const double i = 28.075216 - 0.012998*T + 0.000004*T2; + const double irad = CAACoordinateTransformation::DegreesToRadians(i); + const double omega = 169.508470 + 1.394681*T + 0.000412*T2; + const double omegarad = CAACoordinateTransformation::DegreesToRadians(omega); //Step 2. Calculate the heliocentric longitude, latitude and radius vector of the Earth in the FK5 system double l0 = CAAEarth::EclipticLongitude(JD, bHighPrecision); double b0 = CAAEarth::EclipticLatitude(JD, bHighPrecision); l0 += CAAFK5::CorrectionInLongitude(l0, b0, JD); - double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); + const double l0rad = CAACoordinateTransformation::DegreesToRadians(l0); b0 += CAAFK5::CorrectionInLatitude(l0, JD); - double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double b0rad = CAACoordinateTransformation::DegreesToRadians(b0); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); //Step 3. Calculate the corresponding coordinates l,b,r for Saturn but for the instance t-lightraveltime double DELTA = 9; @@ -90,8 +91,8 @@ CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) l += CAAFK5::CorrectionInLongitude(l, b, JD1); b += CAAFK5::CorrectionInLatitude(l, JD1); - double lrad = CAACoordinateTransformation::DegreesToRadians(l); - double brad = CAACoordinateTransformation::DegreesToRadians(b); + const double lrad = CAACoordinateTransformation::DegreesToRadians(l); + const double brad = CAACoordinateTransformation::DegreesToRadians(b); r = CAASaturn::RadiusVector(JD1, bHighPrecision); //Step 4 @@ -102,7 +103,7 @@ CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) EarthLightTravelTime = CAAElliptical::DistanceToLightTime(DELTA); //Prepare for the next loop around - bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2E-6); //2E-6 corresponds to 0.17 of a second + bIterate = (fabs(EarthLightTravelTime - PreviousEarthLightTravelTime) > 2e-6); //2e-6 corresponds to 0.17 of a second if (bIterate) { JD1 = JD - EarthLightTravelTime; @@ -121,12 +122,12 @@ CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) details.B = CAACoordinateTransformation::RadiansToDegrees(details.B); //Step 7. Calculate the longitude of the ascending node of Saturn's orbit - double N = 113.6655 + 0.8771*T; - double Nrad = CAACoordinateTransformation::DegreesToRadians(N); - double ldash = l - 0.01759/r; - double ldashrad = CAACoordinateTransformation::DegreesToRadians(ldash); - double bdash = b - 0.000764*cos(ldashrad - Nrad)/r; - double bdashrad = CAACoordinateTransformation::DegreesToRadians(bdash); + const double N = 113.6655 + 0.8771*T; + const double Nrad = CAACoordinateTransformation::DegreesToRadians(N); + const double ldash = l - 0.01759/r; + const double ldashrad = CAACoordinateTransformation::DegreesToRadians(ldash); + const double bdash = b - 0.000764*cos(ldashrad - Nrad)/r; + const double bdashrad = CAACoordinateTransformation::DegreesToRadians(bdash); //Step 8. Calculate Bdash details.Bdash = CAACoordinateTransformation::RadiansToDegrees(asin(sin(irad)*cos(bdashrad)*sin(ldashrad - omegarad) - cos(irad)*sin(bdashrad))); @@ -139,12 +140,12 @@ CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) details.DeltaU = 360 - details.DeltaU; //Step 10. Calculate the Nutations - double Obliquity = CAANutation::TrueObliquityOfEcliptic(JD); - double NutationInLongitude = CAANutation::NutationInLongitude(JD); + const double Obliquity = CAANutation::TrueObliquityOfEcliptic(JD); + const double NutationInLongitude = CAANutation::NutationInLongitude(JD); //Step 11. Calculate the Ecliptical longitude and latitude of the northern pole of the ring plane double lambda0 = omega - 90; - double beta0 = 90 - i; + const double beta0 = 90 - i; //Step 12. Correct lambda and beta for the aberration of Saturn lambda += CAACoordinateTransformation::DegreesToRadians(0.005693*cos(l0rad - lambda)/cos(beta)); @@ -160,12 +161,12 @@ CAASaturnRingDetails CAASaturnRings::Calculate(double JD, bool bHighPrecision) //Step 14. Convert to equatorial coordinates beta = CAACoordinateTransformation::RadiansToDegrees(beta); - CAA2DCoordinate GeocentricEclipticSaturn = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, Obliquity); - double alpha = CAACoordinateTransformation::HoursToRadians(GeocentricEclipticSaturn.X); - double delta = CAACoordinateTransformation::DegreesToRadians(GeocentricEclipticSaturn.Y); - CAA2DCoordinate GeocentricEclipticNorthPole = CAACoordinateTransformation::Ecliptic2Equatorial(lambda0, beta0, Obliquity); - double alpha0 = CAACoordinateTransformation::HoursToRadians(GeocentricEclipticNorthPole.X); - double delta0 = CAACoordinateTransformation::DegreesToRadians(GeocentricEclipticNorthPole.Y); + const CAA2DCoordinate GeocentricEclipticSaturn = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, Obliquity); + const double alpha = CAACoordinateTransformation::HoursToRadians(GeocentricEclipticSaturn.X); + const double delta = CAACoordinateTransformation::DegreesToRadians(GeocentricEclipticSaturn.Y); + const CAA2DCoordinate GeocentricEclipticNorthPole = CAACoordinateTransformation::Ecliptic2Equatorial(lambda0, beta0, Obliquity); + const double alpha0 = CAACoordinateTransformation::HoursToRadians(GeocentricEclipticNorthPole.X); + const double delta0 = CAACoordinateTransformation::DegreesToRadians(GeocentricEclipticNorthPole.Y); //Step 15. Calculate the Position angle details.P = CAACoordinateTransformation::RadiansToDegrees(atan2(cos(delta0)*sin(alpha0 - alpha), sin(delta0)*cos(delta) - cos(delta0)*sin(delta)*cos(alpha0 - alpha))); diff --git a/Vendor/AA+/1.6.3/AASaturnRings.h b/Sources/AAPlus/include/AASaturnRings.h old mode 100755 new mode 100644 similarity index 69% rename from Vendor/AA+/1.6.3/AASaturnRings.h rename to Sources/AAPlus/include/AASaturnRings.h index de3aea6..3b210b5 --- a/Vendor/AA+/1.6.3/AASaturnRings.h +++ b/Sources/AAPlus/include/AASaturnRings.h @@ -1,9 +1,9 @@ /* -Module : AASATURNRINGS.H +Module : AASaturnRings.h Purpose: Implementation for the algorithms which calculate various parameters related to the Rings of Saturn Created: PJN / 08-01-2004 -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2004 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -37,35 +37,22 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAASaturnRingDetails { public: -//Constructors / Destructors - CAASaturnRingDetails() : B(0), - Bdash(0), - P(0), - a(0), - b(0), - DeltaU(0), - U1(0), - U2(0) - - { - }; - //Member variables - double B; - double Bdash; - double P; - double a; - double b; - double DeltaU; - double U1; - double U2; + double B = 0; + double Bdash = 0; + double P = 0; + double a = 0; + double b = 0; + double DeltaU = 0; + double U1 = 0; + double U2 = 0; }; class AAPLUS_EXT_CLASS CAASaturnRings { public: //Static methods - static CAASaturnRingDetails Calculate(double JD, bool bHighPrecision); + static CAASaturnRingDetails Calculate(double JD, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AASidereal.h b/Sources/AAPlus/include/AASidereal.h old mode 100755 new mode 100644 similarity index 81% rename from Vendor/AA+/1.6.3/AASidereal.h rename to Sources/AAPlus/include/AASidereal.h index e803f20..da80621 --- a/Vendor/AA+/1.6.3/AASidereal.h +++ b/Sources/AAPlus/include/AASidereal.h @@ -1,9 +1,9 @@ /* -Module : AASIDEREAL.H +Module : AASidereal.h Purpose: Implementation for the algorithms which obtain sidereal time Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,8 +38,8 @@ class AAPLUS_EXT_CLASS CAASidereal { public: //Static methods - static double MeanGreenwichSiderealTime(double JD); - static double ApparentGreenwichSiderealTime(double JD); + static double MeanGreenwichSiderealTime(double JD) noexcept; + static double ApparentGreenwichSiderealTime(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAStellarMagnitudes.h b/Sources/AAPlus/include/AAStellarMagnitudes.h old mode 100755 new mode 100644 similarity index 77% rename from Vendor/AA+/1.6.3/AAStellarMagnitudes.h rename to Sources/AAPlus/include/AAStellarMagnitudes.h index e8637ae..3f1299c --- a/Vendor/AA+/1.6.3/AAStellarMagnitudes.h +++ b/Sources/AAPlus/include/AAStellarMagnitudes.h @@ -1,9 +1,9 @@ /* -Module : AASTELLARMAGNITUDES.H +Module : AAStellarMagnitudes.h Purpose: Implementation for the algorithms which operate on the stellar magntidue system Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,10 +38,10 @@ class AAPLUS_EXT_CLASS CAAStellarMagnitudes { public: //functions - static double CombinedMagnitude(double m1, double m2); - static double CombinedMagnitude(int Magnitudes, const double* pMagnitudes); - static double BrightnessRatio(double m1, double m2); - static double MagnitudeDifference(double brightnessRatio); + static double CombinedMagnitude(double m1, double m2) noexcept; + static double CombinedMagnitude(int Magnitudes, const double* pMagnitudes) noexcept; + static double BrightnessRatio(double m1, double m2) noexcept; + static double MagnitudeDifference(double brightnessRatio) noexcept; }; diff --git a/Sources/AAPlus/include/AASun.cpp b/Sources/AAPlus/include/AASun.cpp new file mode 100644 index 0000000..c6eb220 --- /dev/null +++ b/Sources/AAPlus/include/AASun.cpp @@ -0,0 +1,207 @@ +/* +Module : AASun.cpp +Purpose: Implementation for the algorithms which obtain the position of the Sun +Created: PJN / 29-12-2003 +History: PJN / 17-01-2007 1. Changed name of CAASun::ApparentEclipticLongtitude to + CAASun::ApparentEclipticLongitude. Thanks to Mathieu Peyréga for reporting this + typo!. + PJN / 26-07-2008 1. Changed name of CAASun::EclipticRectangularCoordinatesMeanEquinox to + CAASun::EquatorialRectangularCoordinatesMeanEquinox to refer to the fact that it + returns equatorial coordinates instead of ecliptic coordinates. Thanks to Frank + Trautmann for reporting this issue + 2. Updated copyright details. + 3. zip file now ships with a VC 2005 solution instead of a VC 6 solution file. + 4. Code now compiles cleanly using Code Analysis (/analyze) + PJN / 16-09-2015 1. All the methods in CAASun now include a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than the + truncated theory as presented in Meeus's book. + PJN / 16-10-2016 1. Improved the accuracy of CAASun::ApparentEclipticLongitude when the bHighPrecision + parameter is true. The code now uses a new VariationGeometricEclipticLongitude method + which provides a new higher precision method to calculate the effect of aberration. + This takes into account that Earth's orbit around the Sun is not a purely unperturbed + elliptical orbit. This improves the accuracy of the sample 25.a/b from the book by + a couple of hundreds of arc seconds. The results now are exactly in sync with the + results as reported in the book. Thanks to "Pavel" for reporting this issue. + PJN / 18-08-2019 1. Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 Preview 2.0 + +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +//////////////////////////// Includes ///////////////////////////////////////// + +#include "stdafx.h" +#include "AASun.h" +#include "AACoordinateTransformation.h" +#include "AAEarth.h" +#include "AAFK5.h" +#include "AANutation.h" +#include +using namespace std; + + +//////////////////////////// Implementation /////////////////////////////////// + +double CAASun::GeometricEclipticLongitude(double JD, bool bHighPrecision) noexcept +{ + return CAACoordinateTransformation::MapTo0To360Range(CAAEarth::EclipticLongitude(JD, bHighPrecision) + 180); +} + +double CAASun::GeometricEclipticLatitude(double JD, bool bHighPrecision) noexcept +{ + return -CAAEarth::EclipticLatitude(JD, bHighPrecision); +} + +double CAASun::GeometricEclipticLongitudeJ2000(double JD, bool bHighPrecision) noexcept +{ + return CAACoordinateTransformation::MapTo0To360Range(CAAEarth::EclipticLongitudeJ2000(JD, bHighPrecision) + 180); +} + +double CAASun::GeometricEclipticLatitudeJ2000(double JD, bool bHighPrecision) noexcept +{ + return -CAAEarth::EclipticLatitudeJ2000(JD, bHighPrecision); +} + +double CAASun::GeometricFK5EclipticLongitude(double JD, bool bHighPrecision) noexcept +{ + //Convert to the FK5 stystem + double Longitude = GeometricEclipticLongitude(JD, bHighPrecision); + const double Latitude = GeometricEclipticLatitude(JD, bHighPrecision); + Longitude += CAAFK5::CorrectionInLongitude(Longitude, Latitude, JD); + + return Longitude; +} + +double CAASun::GeometricFK5EclipticLatitude(double JD, bool bHighPrecision) noexcept +{ + //Convert to the FK5 stystem + const double Longitude = GeometricEclipticLongitude(JD, bHighPrecision); + double Latitude = GeometricEclipticLatitude(JD, bHighPrecision); + const double SunLatCorrection = CAAFK5::CorrectionInLatitude(Longitude, JD); + Latitude += SunLatCorrection; + + return Latitude; +} + +double CAASun::ApparentEclipticLongitude(double JD, bool bHighPrecision) noexcept +{ + double Longitude = GeometricFK5EclipticLongitude(JD, bHighPrecision); + + //Apply the correction in longitude due to nutation + Longitude += CAACoordinateTransformation::DMSToDegrees(0, 0, CAANutation::NutationInLongitude(JD)); + + //Apply the correction in longitude due to aberration + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); + if (bHighPrecision) + Longitude -= (0.005775518 * R * CAACoordinateTransformation::DMSToDegrees(0, 0, VariationGeometricEclipticLongitude(JD))); + else + Longitude -= CAACoordinateTransformation::DMSToDegrees(0, 0, 20.4898 / R); + + return Longitude; +} + +double CAASun::ApparentEclipticLatitude(double JD, bool bHighPrecision) noexcept +{ + return GeometricFK5EclipticLatitude(JD, bHighPrecision); +} + +CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesMeanEquinox(double JD, bool bHighPrecision) noexcept +{ + const double Longitude = CAACoordinateTransformation::DegreesToRadians(GeometricFK5EclipticLongitude(JD, bHighPrecision)); + const double Latitude = CAACoordinateTransformation::DegreesToRadians(GeometricFK5EclipticLatitude(JD, bHighPrecision)); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); + const double epsilon = CAACoordinateTransformation::DegreesToRadians(CAANutation::MeanObliquityOfEcliptic(JD)); + + CAA3DCoordinate value; + value.X = R * cos(Latitude) * cos(Longitude); + value.Y = R * (cos(Latitude) * sin(Longitude) * cos(epsilon) - sin(Latitude) * sin(epsilon)); + value.Z = R * (cos(Latitude) * sin(Longitude) * sin(epsilon) + sin(Latitude) * cos(epsilon)); + + return value; +} + +CAA3DCoordinate CAASun::EclipticRectangularCoordinatesJ2000(double JD, bool bHighPrecision) noexcept +{ + double Longitude = GeometricEclipticLongitudeJ2000(JD, bHighPrecision); + Longitude = CAACoordinateTransformation::DegreesToRadians(Longitude); + double Latitude = GeometricEclipticLatitudeJ2000(JD, bHighPrecision); + Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); + const double R = CAAEarth::RadiusVector(JD, bHighPrecision); + + CAA3DCoordinate value; + const double coslatitude = cos(Latitude); + value.X = R * coslatitude * cos(Longitude); + value.Y = R * coslatitude * sin(Longitude); + value.Z = R * sin(Latitude); + + return value; +} + +CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesJ2000(double JD, bool bHighPrecision) noexcept +{ + CAA3DCoordinate value = EclipticRectangularCoordinatesJ2000(JD, bHighPrecision); + value = CAAFK5::ConvertVSOPToFK5J2000(value); + + return value; +} + +CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesB1950(double JD, bool bHighPrecision) noexcept +{ + CAA3DCoordinate value = EclipticRectangularCoordinatesJ2000(JD, bHighPrecision); + value = CAAFK5::ConvertVSOPToFK5B1950(value); + + return value; +} + +CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesAnyEquinox(double JD, double JDEquinox, bool bHighPrecision) noexcept +{ + CAA3DCoordinate value = EquatorialRectangularCoordinatesJ2000(JD, bHighPrecision); + value = CAAFK5::ConvertVSOPToFK5AnyEquinox(value, JDEquinox); + + return value; +} + +double CAASun::VariationGeometricEclipticLongitude(double JD) noexcept +{ + //D is the number of days since the epoch + const double D = JD - 2451545.00; + const double tau = (D / 365250); + const double tau2 = tau * tau; + const double tau3 = tau2 * tau; + + const double deltaLambda = 3548.193 + + 118.568 * sin(CAACoordinateTransformation::DegreesToRadians(87.5287 + 359993.7286 * tau)) + + 2.476 * sin(CAACoordinateTransformation::DegreesToRadians(85.0561 + 719987.4571 * tau)) + + 1.376 * sin(CAACoordinateTransformation::DegreesToRadians(27.8502 + 4452671.1152 * tau)) + + 0.119 * sin(CAACoordinateTransformation::DegreesToRadians(73.1375 + 450368.8564 * tau)) + + 0.114 * sin(CAACoordinateTransformation::DegreesToRadians(337.2264 + 329644.6718 * tau)) + + 0.086 * sin(CAACoordinateTransformation::DegreesToRadians(222.5400 + 659289.3436 * tau)) + + 0.078 * sin(CAACoordinateTransformation::DegreesToRadians(162.8136 + 9224659.7915 * tau)) + + 0.054 * sin(CAACoordinateTransformation::DegreesToRadians(82.5823 + 1079981.1857 * tau)) + + 0.052 * sin(CAACoordinateTransformation::DegreesToRadians(171.5189 + 225184.4282 * tau)) + + 0.034 * sin(CAACoordinateTransformation::DegreesToRadians(30.3214 + 4092677.3866 * tau)) + + 0.033 * sin(CAACoordinateTransformation::DegreesToRadians(119.8105 + 337181.4711 * tau)) + + 0.023 * sin(CAACoordinateTransformation::DegreesToRadians(247.5418 + 299295.6151 * tau)) + + 0.023 * sin(CAACoordinateTransformation::DegreesToRadians(325.1526 + 315559.5560 * tau)) + + 0.021 * sin(CAACoordinateTransformation::DegreesToRadians(155.1241 + 675553.2846 * tau)) + + 7.311 * tau * sin(CAACoordinateTransformation::DegreesToRadians(333.4515 + 359993.7286 * tau)) + + 0.305 * tau * sin(CAACoordinateTransformation::DegreesToRadians(330.9814 + 719987.4571 * tau)) + + 0.010 * tau * sin(CAACoordinateTransformation::DegreesToRadians(328.5170 + 1079981.1857 * tau)) + + 0.309 * tau2 * sin(CAACoordinateTransformation::DegreesToRadians(241.4518 + 359993.7286 * tau)) + + 0.021 * tau2 * sin(CAACoordinateTransformation::DegreesToRadians(205.0482 + 719987.4571 * tau)) + + 0.004 * tau2 * sin(CAACoordinateTransformation::DegreesToRadians(297.8610 + 4452671.1152 * tau)) + + 0.010 * tau3 * sin(CAACoordinateTransformation::DegreesToRadians(154.7066 + 359993.7286 * tau)); + + return deltaLambda; +} diff --git a/Vendor/AA+/1.6.3/AASun.h b/Sources/AAPlus/include/AASun.h old mode 100755 new mode 100644 similarity index 76% rename from Vendor/AA+/1.6.3/AASun.h rename to Sources/AAPlus/include/AASun.h index b2a8a90..4f8e98d --- a/Vendor/AA+/1.6.3/AASun.h +++ b/Sources/AAPlus/include/AASun.h @@ -1,9 +1,9 @@ /* -Module : AASUN.H +Module : AASun.h Purpose: Implementation for the algorithms which obtain the position of the Sun Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -43,19 +43,20 @@ class AAPLUS_EXT_CLASS CAASun { public: //Static methods - static double GeometricEclipticLongitude(double JD, bool bHighPrecision); - static double GeometricEclipticLatitude(double JD, bool bHighPrecision); - static double GeometricEclipticLongitudeJ2000(double JD, bool bHighPrecision); - static double GeometricEclipticLatitudeJ2000(double JD, bool bHighPrecision); - static double GeometricFK5EclipticLongitude(double JD, bool bHighPrecision); - static double GeometricFK5EclipticLatitude(double JD, bool bHighPrecision); - static double ApparentEclipticLongitude(double JD, bool bHighPrecision); - static double ApparentEclipticLatitude(double JD, bool bHighPrecision); - static CAA3DCoordinate EquatorialRectangularCoordinatesMeanEquinox(double JD, bool bHighPrecision); - static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double JD, bool bHighPrecision); - static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double JD, bool bHighPrecision); - static CAA3DCoordinate EquatorialRectangularCoordinatesB1950(double JD, bool bHighPrecision); - static CAA3DCoordinate EquatorialRectangularCoordinatesAnyEquinox(double JD, double JDEquinox, bool bHighPrecision); + static double GeometricEclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double GeometricEclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double GeometricEclipticLongitudeJ2000(double JD, bool bHighPrecision) noexcept; + static double GeometricEclipticLatitudeJ2000(double JD, bool bHighPrecision) noexcept; + static double GeometricFK5EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double GeometricFK5EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double ApparentEclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double ApparentEclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double VariationGeometricEclipticLongitude(double JD) noexcept; + static CAA3DCoordinate EquatorialRectangularCoordinatesMeanEquinox(double JD, bool bHighPrecision) noexcept; + static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double JD, bool bHighPrecision) noexcept; + static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double JD, bool bHighPrecision) noexcept; + static CAA3DCoordinate EquatorialRectangularCoordinatesB1950(double JD, bool bHighPrecision) noexcept; + static CAA3DCoordinate EquatorialRectangularCoordinatesAnyEquinox(double JD, double JDEquinox, bool bHighPrecision) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAUranus.h b/Sources/AAPlus/include/AAUranus.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAUranus.h rename to Sources/AAPlus/include/AAUranus.h index fb463d6..627e73c --- a/Vendor/AA+/1.6.3/AAUranus.h +++ b/Sources/AAPlus/include/AAUranus.h @@ -1,9 +1,9 @@ /* -Module : AAURANUS.H +Module : AAUranus.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Uranus Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAAUranus { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Sources/AAPlus/include/AAVSOP2013.h b/Sources/AAPlus/include/AAVSOP2013.h new file mode 100644 index 0000000..514f437 --- /dev/null +++ b/Sources/AAPlus/include/AAVSOP2013.h @@ -0,0 +1,313 @@ +/* +Module : VSOP2013.h +Purpose: Implementation for the algorithms for VSOP2013 +Created: PJN / 01-10-2021 + +Copyright (c) 2021 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) + +All rights reserved. + +Copyright / Usage Details: + +You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) +when your product is released in binary form. You are allowed to modify the source code in any way you want +except you cannot modify the copyright details at the top of each module. If you want to distribute source +code with your application, then you are only allowed to distribute versions released by the author. This is +to maintain a single distribution point for the source code. + +*/ + + +/////////////////////// Macros / Defines ////////////////////////////////////// + +#if _MSC_VER > 1000 +#pragma once +#endif //#if _MSC_VER > 1000 + +#ifndef __AAVSOP2013_H__ +#define __AAVSOP2013_H__ + +#ifndef AAPLUS_EXT_CLASS +#define AAPLUS_EXT_CLASS +#endif //#ifndef AAPLUS_EXT_CLASS + + +/////////////////////// Includes ////////////////////////////////////////////// + +#include +#include +#include +#include +#include +#include "AAElliptical.h" + + +/////////////////////// Classes /////////////////////////////////////////////// + +//The exception class which can be thrown by CAAVSOP2013::Calculate or CAAVSOP2013::CalculateOrbit +class AAPLUS_EXT_CLASS CAAVSOP2013Exception : public std::exception +{ +public: +//Enums + enum class REASON + { + UNDEFINED = 0, + FAILED_TO_OPEN_FILE = 1, + PLANET_IS_INVALID = 2, + DATE_IS_INVALID = 3, + COULD_NOT_LOAD_BINARY_FILE = 4 + }; + +//Constructors / Destructors + CAAVSOP2013Exception() = default; + CAAVSOP2013Exception(REASON reason) noexcept : m_Reason(reason) + { + } + CAAVSOP2013Exception(const CAAVSOP2013Exception&) = default; + CAAVSOP2013Exception(CAAVSOP2013Exception&&) = default; + ~CAAVSOP2013Exception() override = default; + +//Methods + CAAVSOP2013Exception& operator=(const CAAVSOP2013Exception&) = default; + CAAVSOP2013Exception& operator=(CAAVSOP2013Exception&&) = default; + +//Member variables + REASON m_Reason = REASON::UNDEFINED; //The reason for the exception +}; + +//Represents a single VSOP2013 ephemerides file +class AAPLUS_EXT_CLASS CAAVSOP2013EphemeridesFile +{ +public: +//Enums + enum + { + SIZE_BASIC_INTERVAL = 32, + IDENTIFICATION_INDEX = 2013, + CHEBYSHEV_TABLES = 17122, + COEFFICIENTS_PER_TABLE = 978 + }; + +//Methods + bool ReadTextFile(const std::filesystem::path::value_type* pszFilename); + bool WriteBinaryFile(const std::filesystem::path::value_type* pszFilename) noexcept; + bool ReadBinaryFile(const std::filesystem::path::value_type* pszFilename); + + bool operator!=(const CAAVSOP2013EphemeridesFile& file) const + { + return !operator==(file); + } + + bool operator==(const CAAVSOP2013EphemeridesFile& file) const + { + if (m_fStartJD != file.m_fStartJD) + return false; + if (m_fEndJD != file.m_fEndJD) + return false; + for (size_t i=0; i m_FirstCoefficientRank{}; + std::array m_CoefficientsPerCoordinate{}; + std::array m_SubIntervals{}; + std::vector> m_ChebyshevTables; +}; + +//Represents a single elements term +class AAPLUS_EXT_CLASS CAAVSOP2013ElementsTerm +{ +public: +//Member variables + std::array m_iphi{}; + double m_fS{}; + double m_fC{}; +}; + +//Represents a series of elements term records +struct AAPLUS_EXT_CLASS CAAVSOP2013ElementsSeries +{ +//Member variables + uint8_t m_ip{}; //planet index 1=Mercury...9=Pluto + uint8_t m_iv{}; //variable index 1=a, 2=lambda, 3=k, 4=h, 5=q, 6=p + uint8_t m_it{}; //time power + std::vector m_Terms; +}; + +//Represents a single VSOP2013 elements file +class AAPLUS_EXT_CLASS CAAVSOP2013ElementsFile +{ +public: +//Methods + bool ReadTextFile(const std::filesystem::path::value_type* pszFilename); + bool WriteBinaryFile(const std::filesystem::path::value_type* pszFilename) noexcept; + bool ReadBinaryFile(const std::filesystem::path::value_type* pszFilename); + + bool operator!=(const CAAVSOP2013ElementsFile& file) const + { + return !operator==(file); + } + + bool operator==(const CAAVSOP2013ElementsFile& file) const + { + if (m_AllSeries.size() != file.m_AllSeries.size()) + return false; + for (size_t i=0; i m_AllSeries; +}; + +//Contains the results from CAAVSOP2013::Calculate +class AAPLUS_EXT_CLASS CAAVSOP2013Position +{ +public: +//Member variables + double X{}; + double Y{}; + double Z{}; + double X_DASH{}; + double Y_DASH{}; + double Z_DASH{}; +}; + +//Contains the results from CAAVSOP2013::CalculateOrbit +class AAPLUS_EXT_CLASS CAAVSOP2013Orbit +{ +public: +//Member variables + double a{}; + double lambda{}; + double k{}; + double h{}; + double q{}; + double p{}; +}; + +//The main class which implements the VSOP2013 algorithms +class AAPLUS_EXT_CLASS CAAVSOP2013 +{ +public: +//Enums + enum class Planet + { + MERCURY = 0, + VENUS = 1, + EARTH_MOON_BARYCENTER = 2, + MARS = 3, + JUPITER = 4, + SATURN = 5, + URANUS = 6, + NEPTUNE = 7, + PLUTO = 8 + }; + +//Methods + void SetBinaryFilesDirectory(const std::filesystem::path::value_type* pszBinaryFilesDirectory) noexcept; + [[nodiscard]] const std::filesystem::path::value_type* GetBinaryFilesDirectory() const noexcept; + CAAVSOP2013Position Calculate(Planet planet, double JD); + CAAVSOP2013Orbit CalculateOrbit(Planet planet, double JD); + static double CalculateMeanMotion(Planet planet, double a); + static CAAEllipticalObjectElements OrbitToElements(double JD, Planet planet, const CAAVSOP2013Orbit& orbit); + static CAAVSOP2013Position Ecliptic2Equatorial(const CAAVSOP2013Position& value) noexcept; + +protected: +//Methods + void CalculateLambdas(double T, std::array& lambdas) noexcept; + +//Member variables + std::array m_DateRange{ { 77294.5, 625198.5, 1173102.5, 1721006.5, 2268910.5, 2816814.5, 3364718.5 } }; +#ifdef _WIN32 + std::array m_EphemeridesFilenames{ { L"VSOP2013.M4000.bin", L"VSOP2013.M2000.bin", L"VSOP2013.M1000.bin", L"VSOP2013.P1000.bin", L"VSOP2013.P2000.bin", L"VSOP2013.P4000.bin" } }; +#else + std::array m_EphemeridesFilenames{ { "VSOP2013.M4000.bin", "VSOP2013.M2000.bin", "VSOP2013.M1000.bin", "VSOP2013.P1000.bin", "VSOP2013.P2000.bin", "VSOP2013.P4000.bin" } }; +#endif //#ifdef _WIN32 +#ifdef _WIN32 + std::array m_ElementsFilenames{ { L"VSOP2013p1.bin", L"VSOP2013p2.bin", L"VSOP2013p3.bin", L"VSOP2013p4.bin", L"VSOP2013p5.bin", L"VSOP2013p6.bin", L"VSOP2013p7.bin", L"VSOP2013p8.bin", L"VSOP2013p9.bin" } }; +#else + std::array m_ElementsFilenames{ { "VSOP2013p1.bin", "VSOP2013p2.bin", "VSOP2013p3.bin", "VSOP2013p4.bin", "VSOP2013p5.bin", "VSOP2013p6.bin", "VSOP2013p7.bin", "VSOP2013p8.bin", "VSOP2013p9.bin" } }; +#endif //#ifdef _WIN32 + std::array m_EphemerideFiles{}; + std::array m_ElementsFiles{}; +#ifdef _WIN32 + const std::filesystem::path::value_type* m_pszBinaryFilesDirectory = L"."; +#else + const std::filesystem::path::value_type* m_pszBinaryFilesDirectory = "."; +#endif //#ifdef _WIN32 +}; + + +#endif //#ifndef __AAVSOP2013_H__ diff --git a/Vendor/AA+/1.6.3/AAVSOP87.h b/Sources/AAPlus/include/AAVSOP87.h old mode 100755 new mode 100644 similarity index 76% rename from Vendor/AA+/1.6.3/AAVSOP87.h rename to Sources/AAPlus/include/AAVSOP87.h index 98af8cf..7182514 --- a/Vendor/AA+/1.6.3/AAVSOP87.h +++ b/Sources/AAPlus/include/AAVSOP87.h @@ -2,9 +2,8 @@ Module : AAVSOP87.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 29-08-2015 -History: PJN / 29-08-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -33,6 +32,11 @@ to maintain a single distribution point for the source code. #endif //#ifndef AAPLUS_EXT_CLASS +////////////////////////////// Includes /////////////////////////////////////// + +#include + + ////////////////////////////// Classes //////////////////////////////////////// struct VSOP87Coefficient @@ -45,15 +49,15 @@ struct VSOP87Coefficient struct VSOP87Coefficient2 { const VSOP87Coefficient* pCoefficients; - int nCoefficientsSize; + size_t nCoefficientsSize; }; -class AAPLUS_EXT_CLASS CVSOP87 +class AAPLUS_EXT_CLASS CAAVSOP87 { public: //Static methods - static double Calculate(double JD, const VSOP87Coefficient2* pTable, int nTableSize, bool bAngle); - static double Calculate_Dash(double JD, const VSOP87Coefficient2* pTable, int nTableSize); + static double Calculate(double JD, const VSOP87Coefficient2* pTable, size_t nTableSize, bool bAngle) noexcept; + static double Calculate_Dash(double JD, const VSOP87Coefficient2* pTable, size_t nTableSize) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_EAR.h b/Sources/AAPlus/include/AAVSOP87A_EAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_EAR.h rename to Sources/AAPlus/include/AAVSOP87A_EAR.h index d9a2689..dc1fcaa --- a/Vendor/AA+/1.6.3/AAVSOP87A_EAR.h +++ b/Sources/AAPlus/include/AAVSOP87A_EAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_EAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Earth { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_EMB.h b/Sources/AAPlus/include/AAVSOP87A_EMB.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_EMB.h rename to Sources/AAPlus/include/AAVSOP87A_EMB.h index e8194ca..5647a80 --- a/Vendor/AA+/1.6.3/AAVSOP87A_EMB.h +++ b/Sources/AAPlus/include/AAVSOP87A_EMB.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_EMB.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_EMB { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_JUP.h b/Sources/AAPlus/include/AAVSOP87A_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_JUP.h rename to Sources/AAPlus/include/AAVSOP87A_JUP.h index 971f4e4..9ccdb31 --- a/Vendor/AA+/1.6.3/AAVSOP87A_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87A_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Jupiter { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_MAR.h b/Sources/AAPlus/include/AAVSOP87A_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_MAR.h rename to Sources/AAPlus/include/AAVSOP87A_MAR.h index ae64f68..8584ebc --- a/Vendor/AA+/1.6.3/AAVSOP87A_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87A_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Mars { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_MER.h b/Sources/AAPlus/include/AAVSOP87A_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_MER.h rename to Sources/AAPlus/include/AAVSOP87A_MER.h index 58f42ec..42b25dd --- a/Vendor/AA+/1.6.3/AAVSOP87A_MER.h +++ b/Sources/AAPlus/include/AAVSOP87A_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Mercury { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_NEP.cpp b/Sources/AAPlus/include/AAVSOP87A_NEP.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87A_NEP.cpp rename to Sources/AAPlus/include/AAVSOP87A_NEP.cpp index 98e79fa..1f911d9 --- a/Vendor/AA+/1.6.3/AAVSOP87A_NEP.cpp +++ b/Sources/AAPlus/include/AAVSOP87A_NEP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_NEPTUNE +{ { { 30.05890004476, 5.31211340029, 38.13303563780 }, { 0.27080164222, 3.14159265359, 0.00000000000 }, { 0.13505661755, 3.50078975634, 76.26607127560 }, @@ -804,10 +810,10 @@ const VSOP87Coefficient g_VSOP87A_X0_NEPTUNE[] = { 0.00000002336, 4.17366212174, 495.49008271990 }, { 0.00000002232, 2.42169508541, 158.37366516480 }, { 0.00000002471, 3.93681150847, 658.18966002270 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_NEPTUNE[] = -{ +constexpr array g_VSOP87A_X1_NEPTUNE +{ { { 0.00255840261, 2.01935686795, 36.64856292950 }, { 0.00243125299, 5.46214902873, 39.61750834610 }, { 0.00118398168, 2.88251845061, 76.26607127560 }, @@ -1138,10 +1144,10 @@ const VSOP87Coefficient g_VSOP87A_X1_NEPTUNE[] = { 0.00000002160, 0.97578185075, 666.72398925700 }, { 0.00000002601, 2.58714323338, 363.51668387840 }, { 0.00000002510, 3.00871814837, 411.14725659700 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_NEPTUNE[] = -{ +constexpr array g_VSOP87A_X2_NEPTUNE +{ { { 0.00005371138, 0.00000000000, 0.00000000000 }, { 0.00004536283, 5.02700751836, 36.64856292950 }, { 0.00004350766, 2.45420254304, 39.61750834610 }, @@ -1244,10 +1250,10 @@ const VSOP87Coefficient g_VSOP87A_X2_NEPTUNE[] = { 0.00000002569, 4.22624598741, 464.73122651380 }, { 0.00000002273, 5.59760233612, 491.55792945680 }, { 0.00000002790, 1.90430778774, 487.36514376280 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_NEPTUNE[] = -{ +constexpr array g_VSOP87A_X3_NEPTUNE +{ { { 0.00000192703, 0.83849647680, 36.64856292950 }, { 0.00000182218, 0.36067577276, 39.61750834610 }, { 0.00000180880, 0.00000000000, 0.00000000000 }, @@ -1281,10 +1287,10 @@ const VSOP87Coefficient g_VSOP87A_X3_NEPTUNE[] = { 0.00000002279, 4.63710471266, 459.05396811150 }, { 0.00000003062, 3.11781513902, 484.44438245600 }, { 0.00000002147, 2.63610173419, 175.16605980020 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_NEPTUNE[] = -{ +constexpr array g_VSOP87A_X4_NEPTUNE +{ { { 0.00000004229, 1.43244844928, 515.46387109300 }, { 0.00000004334, 5.41647101628, 433.71173787680 }, { 0.00000003547, 5.75562173057, 990.22940591440 }, @@ -1292,10 +1298,10 @@ const VSOP87Coefficient g_VSOP87A_X4_NEPTUNE[] = { 0.00000003017, 0.06478433196, 227.52618943960 }, { 0.00000002298, 4.70991228641, 206.18554843720 }, { 0.00000002249, 0.15040734848, 220.41264243880 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Y0_NEPTUNE +{ { { 30.06056351665, 3.74086294714, 38.13303563780 }, { 0.30205857683, 3.14159265359, 0.00000000000 }, { 0.13506391797, 1.92953034883, 76.26607127560 }, @@ -2042,10 +2048,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_NEPTUNE[] = { 0.00000002319, 2.81891636177, 26011.63707029860 }, { 0.00000002378, 2.89965220331, 952.09637027660 }, { 0.00000002232, 3.99247109324, 158.37366516480 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Y1_NEPTUNE +{ { { 0.00352947493, 3.14159265359, 0.00000000000 }, { 0.00256125493, 0.44757496817, 36.64856292950 }, { 0.00243147725, 3.89099798696, 39.61750834610 }, @@ -2371,10 +2377,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_NEPTUNE[] = { 0.00000002915, 5.49123016682, 2118.76386037840 }, { 0.00000002300, 2.19835194508, 986.29725265130 }, { 0.00000002198, 1.21301903023, 605.95703637020 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Y2_NEPTUNE +{ { { 0.00004539421, 3.45613207922, 36.64856292950 }, { 0.00004347956, 0.88317230351, 39.61750834610 }, { 0.00003595394, 3.14159265359, 0.00000000000 }, @@ -2472,10 +2478,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_NEPTUNE[] = { 0.00000003029, 4.41598697999, 129.91947716160 }, { 0.00000002469, 5.36564537139, 952.09637027660 }, { 0.00000002911, 1.43497141751, 312.19908396260 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Y3_NEPTUNE +{ { { 0.00000192703, 5.55088601013, 36.64856292950 }, { 0.00000182218, 5.07306416874, 39.61750834610 }, { 0.00000176062, 0.00000000000, 0.00000000000 }, @@ -2510,10 +2516,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_NEPTUNE[] = { 0.00000002876, 3.65434826122, 853.19638175200 }, { 0.00000002279, 6.20788162950, 459.05396811150 }, { 0.00000002147, 1.06532572636, 175.16605980020 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Y4_NEPTUNE +{ { { 0.00000004229, 6.14485774863, 515.46387109300 }, { 0.00000004334, 3.84569500845, 433.71173787680 }, { 0.00000003547, 1.04321243122, 990.22940591440 }, @@ -2521,10 +2527,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_NEPTUNE[] = { 0.00000003017, 4.77719363131, 227.52618943960 }, { 0.00000002341, 4.83747395607, 220.41264243880 }, { 0.00000002295, 3.13221204419, 206.18554843720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Z0_NEPTUNE +{ { { 0.92866054405, 1.44103930278, 38.13303563780 }, { 0.01245978462, 0.00000000000, 0.00000000000 }, { 0.00474333567, 2.52218774238, 36.64856292950 }, @@ -2658,10 +2664,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_NEPTUNE[] = { 0.00000004678, 4.87546696295, 442.75170057060 }, { 0.00000004407, 5.58110402011, 252.08652238160 }, { 0.00000004305, 1.31724140028, 493.04240216510 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Z1_NEPTUNE +{ { { 0.00154885971, 2.14239039664, 38.13303563780 }, { 0.00007783708, 4.40146905905, 36.64856292950 }, { 0.00006862414, 1.65930160610, 39.61750834610 }, @@ -2699,10 +2705,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_NEPTUNE[] = { 0.00000009264, 5.30245876403, 5.93789083320 }, { 0.00000007474, 4.96934284190, 112.91463420510 }, { 0.00000006008, 0.92667374096, 70.32818044240 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Z2_NEPTUNE +{ { { 0.00001264840, 1.91401498992, 38.13303563780 }, { 0.00000130346, 1.12728833394, 36.64856292950 }, { 0.00000127993, 4.77241139328, 39.61750834610 }, @@ -2714,70 +2720,69 @@ const VSOP87Coefficient g_VSOP87A_Z2_NEPTUNE[] = { 0.00000009304, 4.23010808782, 41.10198105440 }, { 0.00000006521, 0.77866473081, 220.41264243880 }, { 0.00000005653, 4.33530686667, 206.18554843720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_NEPTUNE[] = -{ +constexpr array g_VSOP87A_Z3_NEPTUNE +{ { { 0.00000124222, 3.06928911462, 38.13303563780 }, { 0.00000004438, 3.98008913039, 36.64856292950 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_NEPTUNE[] = -{ - { g_VSOP87A_X0_NEPTUNE, sizeof(g_VSOP87A_X0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_NEPTUNE, sizeof(g_VSOP87A_X1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_NEPTUNE, sizeof(g_VSOP87A_X2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_NEPTUNE, sizeof(g_VSOP87A_X3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_NEPTUNE, sizeof(g_VSOP87A_X4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_NEPTUNE +{ { + { g_VSOP87A_X0_NEPTUNE.data(), g_VSOP87A_X0_NEPTUNE.size() }, + { g_VSOP87A_X1_NEPTUNE.data(), g_VSOP87A_X1_NEPTUNE.size() }, + { g_VSOP87A_X2_NEPTUNE.data(), g_VSOP87A_X2_NEPTUNE.size() }, + { g_VSOP87A_X3_NEPTUNE.data(), g_VSOP87A_X3_NEPTUNE.size() }, + { g_VSOP87A_X4_NEPTUNE.data(), g_VSOP87A_X4_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_NEPTUNE[] = -{ - { g_VSOP87A_Y0_NEPTUNE, sizeof(g_VSOP87A_Y0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_NEPTUNE, sizeof(g_VSOP87A_Y1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_NEPTUNE, sizeof(g_VSOP87A_Y2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_NEPTUNE, sizeof(g_VSOP87A_Y3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_NEPTUNE, sizeof(g_VSOP87A_Y4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_NEPTUNE +{ { + { g_VSOP87A_Y0_NEPTUNE.data(), g_VSOP87A_Y0_NEPTUNE.size() }, + { g_VSOP87A_Y1_NEPTUNE.data(), g_VSOP87A_Y1_NEPTUNE.size() }, + { g_VSOP87A_Y2_NEPTUNE.data(), g_VSOP87A_Y2_NEPTUNE.size() }, + { g_VSOP87A_Y3_NEPTUNE.data(), g_VSOP87A_Y3_NEPTUNE.size() }, + { g_VSOP87A_Y4_NEPTUNE.data(), g_VSOP87A_Y4_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_NEPTUNE[] = -{ - { g_VSOP87A_Z0_NEPTUNE, sizeof(g_VSOP87A_Z0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_NEPTUNE, sizeof(g_VSOP87A_Z1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_NEPTUNE, sizeof(g_VSOP87A_Z2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_NEPTUNE, sizeof(g_VSOP87A_Z3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_NEPTUNE +{ { + { g_VSOP87A_Z0_NEPTUNE.data(), g_VSOP87A_Z0_NEPTUNE.size() }, + { g_VSOP87A_Z1_NEPTUNE.data(), g_VSOP87A_Z1_NEPTUNE.size() }, + { g_VSOP87A_Z2_NEPTUNE.data(), g_VSOP87A_Z2_NEPTUNE.size() }, + { g_VSOP87A_Z3_NEPTUNE.data(), g_VSOP87A_Z3_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Neptune::X(double JD) +double CAAVSOP87A_Neptune::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_NEPTUNE, sizeof(g_VSOP87A_X_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_NEPTUNE.data(), g_VSOP87A_X_NEPTUNE.size(), false); } -double CAAVSOP87A_Neptune::X_DASH(double JD) +double CAAVSOP87A_Neptune::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_NEPTUNE, sizeof(g_VSOP87A_X_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_NEPTUNE.data(), g_VSOP87A_X_NEPTUNE.size()); } -double CAAVSOP87A_Neptune::Y(double JD) +double CAAVSOP87A_Neptune::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_NEPTUNE, sizeof(g_VSOP87A_Y_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_NEPTUNE.data(), g_VSOP87A_Y_NEPTUNE.size(), false); } -double CAAVSOP87A_Neptune::Y_DASH(double JD) +double CAAVSOP87A_Neptune::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_NEPTUNE, sizeof(g_VSOP87A_Y_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_NEPTUNE.data(), g_VSOP87A_Y_NEPTUNE.size()); } -double CAAVSOP87A_Neptune::Z(double JD) +double CAAVSOP87A_Neptune::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_NEPTUNE, sizeof(g_VSOP87A_Z_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_NEPTUNE.data(), g_VSOP87A_Z_NEPTUNE.size(), false); } -double CAAVSOP87A_Neptune::Z_DASH(double JD) +double CAAVSOP87A_Neptune::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_NEPTUNE, sizeof(g_VSOP87A_Z_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_NEPTUNE.data(), g_VSOP87A_Z_NEPTUNE.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_NEP.h b/Sources/AAPlus/include/AAVSOP87A_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_NEP.h rename to Sources/AAPlus/include/AAVSOP87A_NEP.h index f3e23d7..a238b13 --- a/Vendor/AA+/1.6.3/AAVSOP87A_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87A_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Neptune { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_SAT.cpp b/Sources/AAPlus/include/AAVSOP87A_SAT.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_SAT.cpp rename to Sources/AAPlus/include/AAVSOP87A_SAT.cpp index b11385d..01c0670 --- a/Vendor/AA+/1.6.3/AAVSOP87A_SAT.cpp +++ b/Sources/AAPlus/include/AAVSOP87A_SAT.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_SAT.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_SAT.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_SATURN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_SATURN +{ { { 9.51638335797, 0.87441380794, 213.29909543800 }, { 0.26412374238, 0.12390892620, 426.59819087600 }, { 0.06760430339, 4.16767145778, 206.18554843720 }, @@ -1684,10 +1690,10 @@ const VSOP87Coefficient g_VSOP87A_X0_SATURN[] = { 0.00000000687, 4.40962225159, 1563.80010101830 }, { 0.00000000883, 0.11492592605, 378.64329525170 }, { 0.00000000740, 3.78883452039, 1016.09290101090 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_SATURN[] = -{ +constexpr array g_VSOP87A_X1_SATURN +{ { { 0.07575103962, 0.00000000000, 0.00000000000 }, { 0.03085041716, 4.27565749128, 426.59819087600 }, { 0.02714918399, 5.85229412397, 206.18554843720 }, @@ -2580,10 +2586,10 @@ const VSOP87Coefficient g_VSOP87A_X1_SATURN[] = { 0.00000000953, 0.59117119093, 2826.18618590700 }, { 0.00000000826, 1.27188705580, 284.89930026760 }, { 0.00000000695, 4.58296836233, 3171.03224356680 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_SATURN[] = -{ +constexpr array g_VSOP87A_X2_SATURN +{ { { 0.00560746334, 1.26401632282, 206.18554843720 }, { 0.00545834518, 3.62343709657, 220.41264243880 }, { 0.00443342186, 3.14159265359, 0.00000000000 }, @@ -3065,10 +3071,10 @@ const VSOP87Coefficient g_VSOP87A_X2_SATURN[] = { 0.00000000785, 0.63645876992, 4436.59972219320 }, { 0.00000000716, 0.31353354367, 3796.70243587920 }, { 0.00000000714, 4.03037145569, 3171.03224356680 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_SATURN[] = -{ +constexpr array g_VSOP87A_X3_SATURN +{ { { 0.00077115952, 2.97714385362, 206.18554843720 }, { 0.00075340436, 1.89208005248, 220.41264243880 }, { 0.00018450895, 3.14159265359, 0.00000000000 }, @@ -3284,10 +3290,10 @@ const VSOP87Coefficient g_VSOP87A_X3_SATURN[] = { 0.00000000699, 4.19500442256, 10220.39909321180 }, { 0.00000000712, 0.83128225610, 3149.69160256440 }, { 0.00000000943, 4.37865824380, 1457.52593306200 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_SATURN[] = -{ +constexpr array g_VSOP87A_X4_SATURN +{ { { 0.00007959921, 4.70523623364, 206.18554843720 }, { 0.00007836652, 0.13981693631, 220.41264243880 }, { 0.00001511196, 0.06561560462, 227.52618943960 }, @@ -3375,10 +3381,10 @@ const VSOP87Coefficient g_VSOP87A_X4_SATURN[] = { 0.00000000699, 6.11938930504, 1272.68102562720 }, { 0.00000000711, 3.95347589074, 838.96928775040 }, { 0.00000000684, 5.09702256485, 661.23792731640 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X5_SATURN[] = -{ +constexpr array g_VSOP87A_X5_SATURN +{ { { 0.00000589250, 0.13910544483, 206.18554843720 }, { 0.00000585873, 4.66559223624, 220.41264243880 }, { 0.00000225585, 4.60652710308, 227.52618943960 }, @@ -3410,10 +3416,10 @@ const VSOP87Coefficient g_VSOP87A_X5_SATURN[] = { 0.00000000984, 4.07542657925, 223.59403617650 }, { 0.00000000779, 2.12929707069, 330.61896365820 }, { 0.00000000783, 3.19520562324, 522.57741809380 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_SATURN[] = -{ +constexpr array g_VSOP87A_Y0_SATURN +{ { { 9.52986882699, 5.58600556665, 213.29909543800 }, { 0.79387988806, 3.14159265359, 0.00000000000 }, { 0.26441781302, 4.83528061849, 426.59819087600 }, @@ -5072,10 +5078,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_SATURN[] = { 0.00000000702, 1.24544695479, 598.84348936940 }, { 0.00000000810, 3.81368284008, 614.83694036960 }, { 0.00000000681, 1.84015126699, 2954.55175439110 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_SATURN[] = -{ +constexpr array g_VSOP87A_Y1_SATURN +{ { { 0.05373889135, 0.00000000000, 0.00000000000 }, { 0.03090575152, 2.70346890906, 426.59819087600 }, { 0.02741594312, 4.26667636015, 206.18554843720 }, @@ -5993,10 +5999,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_SATURN[] = { 0.00000000687, 1.26279091079, 1261.63532536330 }, { 0.00000000695, 1.75702964176, 812.94573395950 }, { 0.00000000826, 5.98430782385, 284.89930026760 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_SATURN[] = -{ +constexpr array g_VSOP87A_Y2_SATURN +{ { { 0.00563706537, 5.97115878242, 206.18554843720 }, { 0.00547012116, 2.05154973426, 220.41264243880 }, { 0.00458518613, 0.00000000000, 0.00000000000 }, @@ -6462,10 +6468,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_SATURN[] = { 0.00000000732, 2.85362187541, 254.35289238260 }, { 0.00000000945, 5.83450274601, 388.46515523820 }, { 0.00000000813, 3.83625059019, 2420.92863603340 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_SATURN[] = -{ +constexpr array g_VSOP87A_Y3_SATURN +{ { { 0.00077376615, 1.40391048961, 206.18554843720 }, { 0.00075564351, 0.31962896379, 220.41264243880 }, { 0.00022843837, 3.14159265359, 0.00000000000 }, @@ -6667,10 +6673,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_SATURN[] = { 0.00000000701, 1.98280933247, 9779.57380833420 }, { 0.00000000701, 2.62299327327, 10220.39909321180 }, { 0.00000000709, 5.45403624686, 1457.52593306200 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_SATURN[] = -{ +constexpr array g_VSOP87A_Y4_SATURN +{ { { 0.00007978886, 3.13229268011, 206.18554843720 }, { 0.00007868379, 4.84940260021, 220.41264243880 }, { 0.00001514835, 4.77675733867, 227.52618943960 }, @@ -6759,10 +6765,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_SATURN[] = { 0.00000000738, 4.25590020164, 10.29494073850 }, { 0.00000000728, 3.57279637901, 1802.37199072180 }, { 0.00000000684, 3.52622623805, 661.23792731640 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y5_SATURN[] = -{ +constexpr array g_VSOP87A_Y5_SATURN +{ { { 0.00000589080, 4.84910386986, 206.18554843720 }, { 0.00000590114, 3.08953743297, 220.41264243880 }, { 0.00000226448, 3.03832080293, 227.52618943960 }, @@ -6795,10 +6801,10 @@ const VSOP87Coefficient g_VSOP87A_Y5_SATURN[] = { 0.00000000984, 2.50463025246, 223.59403617650 }, { 0.00000000780, 0.55796214439, 330.61896365820 }, { 0.00000000786, 1.61541856004, 522.57741809380 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_SATURN[] = -{ +constexpr array g_VSOP87A_Z0_SATURN +{ { { 0.41356950940, 3.60234142982, 213.29909543800 }, { 0.01148283576, 2.85128367469, 426.59819087600 }, { 0.01214249867, 0.00000000000, 0.00000000000 }, @@ -7219,10 +7225,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_SATURN[] = { 0.00000001390, 4.08155384651, 894.84087952760 }, { 0.00000001435, 1.51395699369, 867.42347575360 }, { 0.00000001404, 4.02343833901, 300.61086697750 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_SATURN[] = -{ +constexpr array g_VSOP87A_Z1_SATURN +{ { { 0.01906503283, 4.94544746116, 213.29909543800 }, { 0.00528301265, 3.14159265359, 0.00000000000 }, { 0.00130262284, 2.26140980879, 206.18554843720 }, @@ -7440,10 +7446,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_SATURN[] = { 0.00000001384, 2.33959628851, 444.75743814070 }, { 0.00000001458, 5.37055128984, 148.07872442630 }, { 0.00000001464, 6.11985601662, 206.13736432740 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_SATURN[] = -{ +constexpr array g_VSOP87A_Z2_SATURN +{ { { 0.00131275155, 0.08868998101, 213.29909543800 }, { 0.00030147649, 3.91396203887, 206.18554843720 }, { 0.00019322173, 0.09228748624, 220.41264243880 }, @@ -7531,10 +7537,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_SATURN[] = { 0.00000001874, 0.84722174143, 1375.77379984580 }, { 0.00000001596, 0.64727508404, 618.55664531160 }, { 0.00000001504, 2.13190551837, 1368.66025284500 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_SATURN[] = -{ +constexpr array g_VSOP87A_Z3_SATURN +{ { { 0.00004559419, 1.70646871501, 213.29909543800 }, { 0.00004779074, 5.57723756330, 206.18554843720 }, { 0.00003965402, 0.00000000000, 0.00000000000 }, @@ -7579,10 +7585,10 @@ const VSOP87Coefficient g_VSOP87A_Z3_SATURN[] = { 0.00000001693, 4.70902661652, 224.34479570190 }, { 0.00000001460, 5.32768614058, 302.16477565500 }, { 0.00000001460, 3.94562330747, 447.93883187840 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z4_SATURN[] = -{ +constexpr array g_VSOP87A_Z4_SATURN +{ { { 0.00000574306, 0.96387396086, 206.18554843720 }, { 0.00000252516, 2.90188946355, 220.41264243880 }, { 0.00000244875, 2.96492296609, 213.29909543800 }, @@ -7602,78 +7608,77 @@ const VSOP87Coefficient g_VSOP87A_Z4_SATURN[] = { 0.00000002105, 0.46469400267, 853.19638175200 }, { 0.00000001586, 5.79955908864, 110.20632121940 }, { 0.00000001592, 0.49445731602, 412.37109687440 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z5_SATURN[] = -{ +constexpr array g_VSOP87A_Z5_SATURN +{ { { 0.00000053400, 2.61403861391, 206.18554843720 }, { 0.00000018015, 1.15819542312, 220.41264243880 }, { 0.00000010802, 3.14159265359, 0.00000000000 }, { 0.00000007783, 1.07953666846, 227.52618943960 }, { 0.00000006016, 2.88267666200, 199.07200143640 }, { 0.00000004424, 0.11691197681, 433.71173787680 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_SATURN[] = -{ - { g_VSOP87A_X0_SATURN, sizeof(g_VSOP87A_X0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_SATURN, sizeof(g_VSOP87A_X1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_SATURN, sizeof(g_VSOP87A_X2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_SATURN, sizeof(g_VSOP87A_X3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_SATURN, sizeof(g_VSOP87A_X4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X5_SATURN, sizeof(g_VSOP87A_X5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_SATURN +{ { + { g_VSOP87A_X0_SATURN.data(), g_VSOP87A_X0_SATURN.size() }, + { g_VSOP87A_X1_SATURN.data(), g_VSOP87A_X1_SATURN.size() }, + { g_VSOP87A_X2_SATURN.data(), g_VSOP87A_X2_SATURN.size() }, + { g_VSOP87A_X3_SATURN.data(), g_VSOP87A_X3_SATURN.size() }, + { g_VSOP87A_X4_SATURN.data(), g_VSOP87A_X4_SATURN.size() }, + { g_VSOP87A_X5_SATURN.data(), g_VSOP87A_X5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_SATURN[] = -{ - { g_VSOP87A_Y0_SATURN, sizeof(g_VSOP87A_Y0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_SATURN, sizeof(g_VSOP87A_Y1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_SATURN, sizeof(g_VSOP87A_Y2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_SATURN, sizeof(g_VSOP87A_Y3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_SATURN, sizeof(g_VSOP87A_Y4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y5_SATURN, sizeof(g_VSOP87A_Y5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_SATURN +{ { + { g_VSOP87A_Y0_SATURN.data(), g_VSOP87A_Y0_SATURN.size() }, + { g_VSOP87A_Y1_SATURN.data(), g_VSOP87A_Y1_SATURN.size() }, + { g_VSOP87A_Y2_SATURN.data(), g_VSOP87A_Y2_SATURN.size() }, + { g_VSOP87A_Y3_SATURN.data(), g_VSOP87A_Y3_SATURN.size() }, + { g_VSOP87A_Y4_SATURN.data(), g_VSOP87A_Y4_SATURN.size() }, + { g_VSOP87A_Y5_SATURN.data(), g_VSOP87A_Y5_SATURN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_SATURN[] = -{ - { g_VSOP87A_Z0_SATURN, sizeof(g_VSOP87A_Z0_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_SATURN, sizeof(g_VSOP87A_Z1_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_SATURN, sizeof(g_VSOP87A_Z2_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_SATURN, sizeof(g_VSOP87A_Z3_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z4_SATURN, sizeof(g_VSOP87A_Z4_SATURN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z5_SATURN, sizeof(g_VSOP87A_Z5_SATURN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_SATURN +{ { + { g_VSOP87A_Z0_SATURN.data(), g_VSOP87A_Z0_SATURN.size() }, + { g_VSOP87A_Z1_SATURN.data(), g_VSOP87A_Z1_SATURN.size() }, + { g_VSOP87A_Z2_SATURN.data(), g_VSOP87A_Z2_SATURN.size() }, + { g_VSOP87A_Z3_SATURN.data(), g_VSOP87A_Z3_SATURN.size() }, + { g_VSOP87A_Z4_SATURN.data(), g_VSOP87A_Z4_SATURN.size() }, + { g_VSOP87A_Z5_SATURN.data(), g_VSOP87A_Z5_SATURN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Saturn::X(double JD) +double CAAVSOP87A_Saturn::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_SATURN, sizeof(g_VSOP87A_X_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_SATURN.data(), g_VSOP87A_X_SATURN.size(), false); } -double CAAVSOP87A_Saturn::X_DASH(double JD) +double CAAVSOP87A_Saturn::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_SATURN, sizeof(g_VSOP87A_X_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_SATURN.data(), g_VSOP87A_X_SATURN.size()); } -double CAAVSOP87A_Saturn::Y(double JD) +double CAAVSOP87A_Saturn::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_SATURN, sizeof(g_VSOP87A_Y_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_SATURN.data(), g_VSOP87A_Y_SATURN.size(), false); } -double CAAVSOP87A_Saturn::Y_DASH(double JD) +double CAAVSOP87A_Saturn::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_SATURN, sizeof(g_VSOP87A_Y_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_SATURN.data(), g_VSOP87A_Y_SATURN.size()); } -double CAAVSOP87A_Saturn::Z(double JD) +double CAAVSOP87A_Saturn::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_SATURN, sizeof(g_VSOP87A_Z_SATURN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_SATURN.data(), g_VSOP87A_Z_SATURN.size(), false); } -double CAAVSOP87A_Saturn::Z_DASH(double JD) +double CAAVSOP87A_Saturn::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_SATURN, sizeof(g_VSOP87A_Z_SATURN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_SATURN.data(), g_VSOP87A_Z_SATURN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_SAT.h b/Sources/AAPlus/include/AAVSOP87A_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_SAT.h rename to Sources/AAPlus/include/AAVSOP87A_SAT.h index 204dda8..de486f5 --- a/Vendor/AA+/1.6.3/AAVSOP87A_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87A_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Saturn { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_URA.cpp b/Sources/AAPlus/include/AAVSOP87A_URA.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87A_URA.cpp rename to Sources/AAPlus/include/AAVSOP87A_URA.cpp index dc04336..6d77d03 --- a/Vendor/AA+/1.6.3/AAVSOP87A_URA.cpp +++ b/Sources/AAPlus/include/AAVSOP87A_URA.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87A_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87A_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87A_X0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87A_X0_URANUS +{ { { 19.17370730359, 5.48133416489, 74.78159856730 }, { 1.32272523872, 0.00000000000, 0.00000000000 }, { 0.44402496796, 1.65967519586, 149.56319713460 }, @@ -1496,10 +1502,10 @@ const VSOP87Coefficient g_VSOP87A_X0_URANUS[] = { 0.00000002261, 0.44102163363, 817.09033554370 }, { 0.00000002950, 5.76859185743, 653.23060843830 }, { 0.00000002185, 2.44586598369, 246.97871295090 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X1_URANUS[] = -{ +constexpr array g_VSOP87A_X1_URANUS +{ { { 0.00739730021, 6.01067825116, 149.56319713460 }, { 0.00526878306, 3.14159265359, 0.00000000000 }, { 0.00239840801, 5.33657762707, 73.29712585900 }, @@ -2149,10 +2155,10 @@ const VSOP87Coefficient g_VSOP87A_X1_URANUS[] = { 0.00000002330, 3.20850507386, 821.54375366860 }, { 0.00000002648, 3.95978520157, 460.53844081980 }, { 0.00000002459, 2.05612285306, 634.48066034260 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X2_URANUS[] = -{ +constexpr array g_VSOP87A_X2_URANUS +{ { { 0.00016015732, 3.83700026619, 74.78159856730 }, { 0.00010915299, 3.02987776270, 149.56319713460 }, { 0.00007497619, 3.83429136661, 11.04570026390 }, @@ -2402,10 +2408,10 @@ const VSOP87Coefficient g_VSOP87A_X2_URANUS[] = { 0.00000002330, 3.64055170939, 227.31374111850 }, { 0.00000002749, 2.28150388150, 92.04707395470 }, { 0.00000002576, 3.89651804361, 343.21857259960 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X3_URANUS[] = -{ +constexpr array g_VSOP87A_X3_URANUS +{ { { 0.00001307049, 0.00000000000, 0.00000000000 }, { 0.00000679651, 2.93375081556, 70.84944530420 }, { 0.00000631782, 4.88998230611, 78.71375183040 }, @@ -2490,10 +2496,10 @@ const VSOP87Coefficient g_VSOP87A_X3_URANUS[] = { 0.00000002318, 0.89080611599, 433.71173787680 }, { 0.00000002358, 0.87971471502, 624.91943278700 }, { 0.00000002219, 3.00732305327, 391.17346822390 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_X4_URANUS[] = -{ +constexpr array g_VSOP87A_X4_URANUS +{ { { 0.00000062987, 3.14159265359, 0.00000000000 }, { 0.00000034199, 0.42702885820, 63.73589830340 }, { 0.00000026702, 5.34493737706, 149.56319713460 }, @@ -2506,10 +2512,10 @@ const VSOP87Coefficient g_VSOP87A_X4_URANUS[] = { 0.00000002295, 3.03607980943, 365.90067395840 }, { 0.00000002282, 0.14341692666, 220.41264243880 }, { 0.00000002248, 4.81094659630, 206.18554843720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y0_URANUS[] = -{ +constexpr array g_VSOP87A_Y0_URANUS +{ { { 19.16518231584, 3.91045677002, 74.78159856730 }, { 0.44390465203, 0.08884111329, 149.56319713460 }, { 0.16256125476, 3.14159265359, 0.00000000000 }, @@ -3957,10 +3963,10 @@ const VSOP87Coefficient g_VSOP87A_Y0_URANUS[] = { 0.00000002847, 0.89078483426, 219.51887056150 }, { 0.00000002458, 2.25842855808, 1448.91086701040 }, { 0.00000002627, 1.91388837247, 768.85355562910 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y1_URANUS[] = -{ +constexpr array g_VSOP87A_Y1_URANUS +{ { { 0.02157896385, 0.00000000000, 0.00000000000 }, { 0.00739227349, 4.43963890935, 149.56319713460 }, { 0.00238545685, 3.76882493145, 73.29712585900 }, @@ -4620,10 +4626,10 @@ const VSOP87Coefficient g_VSOP87A_Y1_URANUS[] = { 0.00000002729, 1.32506308123, 520.12973753900 }, { 0.00000002230, 4.49028913350, 417.03696332040 }, { 0.00000002227, 3.79362555076, 6144.55835312070 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y2_URANUS[] = -{ +constexpr array g_VSOP87A_Y2_URANUS +{ { { 0.00034812647, 3.14159265359, 0.00000000000 }, { 0.00016589194, 2.29556740620, 74.78159856730 }, { 0.00010905147, 1.45737963668, 149.56319713460 }, @@ -4879,10 +4885,10 @@ const VSOP87Coefficient g_VSOP87A_Y2_URANUS[] = { 0.00000002377, 0.83202602714, 280.21638747910 }, { 0.00000002330, 2.06975538259, 227.31374111850 }, { 0.00000002192, 3.13720960527, 267.47376618580 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y3_URANUS[] = -{ +constexpr array g_VSOP87A_Y3_URANUS +{ { { 0.00001211380, 0.00000000000, 0.00000000000 }, { 0.00000668539, 1.35719575778, 70.84944530420 }, { 0.00000634232, 3.31949833714, 78.71375183040 }, @@ -4963,10 +4969,10 @@ const VSOP87Coefficient g_VSOP87A_Y3_URANUS[] = { 0.00000002998, 5.42790043104, 76.47851959670 }, { 0.00000002341, 5.57630510768, 433.71173787680 }, { 0.00000002218, 4.57446080069, 391.17346822390 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Y4_URANUS[] = -{ +constexpr array g_VSOP87A_Y4_URANUS +{ { { 0.00000049430, 0.00000000000, 0.00000000000 }, { 0.00000034198, 5.13940292251, 63.73589830340 }, { 0.00000026702, 3.77414105026, 149.56319713460 }, @@ -4979,10 +4985,10 @@ const VSOP87Coefficient g_VSOP87A_Y4_URANUS[] = { 0.00000002294, 4.60700787690, 365.90067395840 }, { 0.00000002483, 2.14187723981, 284.14854074220 }, { 0.00000002226, 3.21912551616, 206.18554843720 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z0_URANUS[] = -{ +constexpr array g_VSOP87A_Z0_URANUS +{ { { 0.25878127698, 2.61861272578, 74.78159856730 }, { 0.01774318778, 3.14159265359, 0.00000000000 }, { 0.00599316131, 5.08119500585, 149.56319713460 }, @@ -5218,10 +5224,10 @@ const VSOP87Coefficient g_VSOP87A_Z0_URANUS[] = { 0.00000004640, 1.37720813333, 121.25202148330 }, { 0.00000004414, 5.22232716227, 909.81873305460 }, { 0.00000004365, 2.15062971711, 611.58611066270 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z1_URANUS[] = -{ +constexpr array g_VSOP87A_Z1_URANUS +{ { { 0.00655916626, 0.01271947660, 74.78159856730 }, { 0.00049648951, 0.00000000000, 0.00000000000 }, { 0.00023874178, 2.73870491220, 149.56319713460 }, @@ -5320,10 +5326,10 @@ const VSOP87Coefficient g_VSOP87A_Z1_URANUS[] = { 0.00000004676, 1.50550222970, 835.03713448730 }, { 0.00000004901, 0.59194496069, 2.44768055480 }, { 0.00000004468, 4.41715426535, 116.42609634290 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z2_URANUS[] = -{ +constexpr array g_VSOP87A_Z2_URANUS +{ { { 0.00014697858, 1.75149165003, 74.78159856730 }, { 0.00001600044, 3.14159265359, 0.00000000000 }, { 0.00000257139, 5.91766895295, 73.29712585900 }, @@ -5357,10 +5363,10 @@ const VSOP87Coefficient g_VSOP87A_Z2_URANUS[] = { 0.00000006205, 2.26614295646, 56.62235130260 }, { 0.00000004791, 0.22533283202, 220.41264243880 }, { 0.00000006094, 4.96640467601, 3.18139373770 } -}; +} }; -const VSOP87Coefficient g_VSOP87A_Z3_URANUS[] = -{ +constexpr array g_VSOP87A_Z3_URANUS +{ { { 0.00000406961, 3.16314034460, 74.78159856730 }, { 0.00000032961, 3.14159265359, 0.00000000000 }, { 0.00000011311, 4.44380758422, 149.56319713460 }, @@ -5373,64 +5379,63 @@ const VSOP87Coefficient g_VSOP87A_Z3_URANUS[] = { 0.00000005797, 1.86650914141, 71.60020482960 }, { 0.00000005504, 5.95485140431, 77.96299230500 }, { 0.00000004869, 4.99593945023, 11.04570026390 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87A_X_URANUS[] = -{ - { g_VSOP87A_X0_URANUS, sizeof(g_VSOP87A_X0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X1_URANUS, sizeof(g_VSOP87A_X1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X2_URANUS, sizeof(g_VSOP87A_X2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X3_URANUS, sizeof(g_VSOP87A_X3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_X4_URANUS, sizeof(g_VSOP87A_X4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_X_URANUS +{ { + { g_VSOP87A_X0_URANUS.data(), g_VSOP87A_X0_URANUS.size() }, + { g_VSOP87A_X1_URANUS.data(), g_VSOP87A_X1_URANUS.size() }, + { g_VSOP87A_X2_URANUS.data(), g_VSOP87A_X2_URANUS.size() }, + { g_VSOP87A_X3_URANUS.data(), g_VSOP87A_X3_URANUS.size() }, + { g_VSOP87A_X4_URANUS.data(), g_VSOP87A_X4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Y_URANUS[] = -{ - { g_VSOP87A_Y0_URANUS, sizeof(g_VSOP87A_Y0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y1_URANUS, sizeof(g_VSOP87A_Y1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y2_URANUS, sizeof(g_VSOP87A_Y2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y3_URANUS, sizeof(g_VSOP87A_Y3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Y4_URANUS, sizeof(g_VSOP87A_Y4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Y_URANUS +{ { + { g_VSOP87A_Y0_URANUS.data(), g_VSOP87A_Y0_URANUS.size() }, + { g_VSOP87A_Y1_URANUS.data(), g_VSOP87A_Y1_URANUS.size() }, + { g_VSOP87A_Y2_URANUS.data(), g_VSOP87A_Y2_URANUS.size() }, + { g_VSOP87A_Y3_URANUS.data(), g_VSOP87A_Y3_URANUS.size() }, + { g_VSOP87A_Y4_URANUS.data(), g_VSOP87A_Y4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87A_Z_URANUS[] = -{ - { g_VSOP87A_Z0_URANUS, sizeof(g_VSOP87A_Z0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z1_URANUS, sizeof(g_VSOP87A_Z1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z2_URANUS, sizeof(g_VSOP87A_Z2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87A_Z3_URANUS, sizeof(g_VSOP87A_Z3_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87A_Z_URANUS +{ { + { g_VSOP87A_Z0_URANUS.data(), g_VSOP87A_Z0_URANUS.size() }, + { g_VSOP87A_Z1_URANUS.data(), g_VSOP87A_Z1_URANUS.size() }, + { g_VSOP87A_Z2_URANUS.data(), g_VSOP87A_Z2_URANUS.size() }, + { g_VSOP87A_Z3_URANUS.data(), g_VSOP87A_Z3_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87A_Uranus::X(double JD) +double CAAVSOP87A_Uranus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_X_URANUS, sizeof(g_VSOP87A_X_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_X_URANUS.data(), g_VSOP87A_X_URANUS.size(), false); } -double CAAVSOP87A_Uranus::X_DASH(double JD) +double CAAVSOP87A_Uranus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_X_URANUS, sizeof(g_VSOP87A_X_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_X_URANUS.data(), g_VSOP87A_X_URANUS.size()); } -double CAAVSOP87A_Uranus::Y(double JD) +double CAAVSOP87A_Uranus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Y_URANUS, sizeof(g_VSOP87A_Y_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Y_URANUS.data(), g_VSOP87A_Y_URANUS.size(), false); } -double CAAVSOP87A_Uranus::Y_DASH(double JD) +double CAAVSOP87A_Uranus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_URANUS, sizeof(g_VSOP87A_Y_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Y_URANUS.data(), g_VSOP87A_Y_URANUS.size()); } -double CAAVSOP87A_Uranus::Z(double JD) +double CAAVSOP87A_Uranus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87A_Z_URANUS, sizeof(g_VSOP87A_Z_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87A_Z_URANUS.data(), g_VSOP87A_Z_URANUS.size(), false); } -double CAAVSOP87A_Uranus::Z_DASH(double JD) +double CAAVSOP87A_Uranus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_URANUS, sizeof(g_VSOP87A_Z_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87A_Z_URANUS.data(), g_VSOP87A_Z_URANUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_URA.h b/Sources/AAPlus/include/AAVSOP87A_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_URA.h rename to Sources/AAPlus/include/AAVSOP87A_URA.h index b6d1b7a..6433854 --- a/Vendor/AA+/1.6.3/AAVSOP87A_URA.h +++ b/Sources/AAPlus/include/AAVSOP87A_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Uranus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87A_VEN.h b/Sources/AAPlus/include/AAVSOP87A_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87A_VEN.h rename to Sources/AAPlus/include/AAVSOP87A_VEN.h index a51742d..8cc25c0 --- a/Vendor/AA+/1.6.3/AAVSOP87A_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87A_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87A_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87A_Venus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_EAR.cpp b/Sources/AAPlus/include/AAVSOP87B_EAR.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87B_EAR.cpp rename to Sources/AAPlus/include/AAVSOP87B_EAR.cpp index d7f477c..0915e6e --- a/Vendor/AA+/1.6.3/AAVSOP87B_EAR.cpp +++ b/Sources/AAPlus/include/AAVSOP87B_EAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_EAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_EAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_EARTH[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_EARTH +{ { { 1.75347045673, 0.00000000000, 0.00000000000 }, { 0.03341656453, 4.66925680415, 6283.07584999140 }, { 0.00034894275, 4.62610242189, 12566.15169998280 }, @@ -655,10 +661,10 @@ const VSOP87Coefficient g_VSOP87B_L0_EARTH[] = { 0.00000000041, 4.88191569433, 23536.11695768099 }, { 0.00000000049, 2.44790922235, 13613.80427733600 }, { 0.00000000047, 3.58181693910, 4797.09572892620 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_EARTH[] = -{ +constexpr array g_VSOP87B_L1_EARTH +{ { { 6283.07584999140, 0.00000000000, 0.00000000000 }, { 0.00206058863, 2.67823455808, 6283.07584999140 }, { 0.00004303419, 2.63512233481, 12566.15169998280 }, @@ -1038,10 +1044,10 @@ const VSOP87Coefficient g_VSOP87B_L1_EARTH[] = { 0.00000000022, 2.19759737115, 31570.79964939120 }, { 0.00000000021, 1.48739821208, 61306.01159706580 }, { 0.00000000025, 5.71465573409, 25934.12433108940 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_EARTH[] = -{ +constexpr array g_VSOP87B_L2_EARTH +{ { { 0.00008721859, 1.07253635559, 6283.07584999140 }, { 0.00000990990, 3.14159265359, 0.00000000000 }, { 0.00000294833, 0.43717350256, 12566.15169998280 }, @@ -1186,10 +1192,10 @@ const VSOP87Coefficient g_VSOP87B_L2_EARTH[] = { 0.00000000015, 3.36968394452, 17260.15465469040 }, { 0.00000000010, 3.78885035015, 22003.91463486980 }, { 0.00000000011, 2.12851973876, 7875.67186362420 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_EARTH[] = -{ +constexpr array g_VSOP87B_L3_EARTH +{ { { 0.00000289058, 5.84173149732, 6283.07584999140 }, { 0.00000020712, 6.04983939020, 12566.15169998280 }, { 0.00000002962, 5.19560579570, 155.42039943420 }, @@ -1213,10 +1219,10 @@ const VSOP87Coefficient g_VSOP87B_L3_EARTH[] = { 0.00000000006, 2.88803526743, 5507.55323866740 }, { 0.00000000005, 3.87019253131, 12036.46073488820 }, { 0.00000000005, 2.70838853362, 83996.84731811189 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_EARTH[] = -{ +constexpr array g_VSOP87B_L4_EARTH +{ { { 0.00000007714, 4.14117321449, 6283.07584999140 }, { 0.00000001016, 3.27573644241, 12566.15169998280 }, { 0.00000000420, 0.41892851415, 155.42039943420 }, @@ -1228,18 +1234,18 @@ const VSOP87Coefficient g_VSOP87B_L4_EARTH[] = { 0.00000000007, 2.84139222289, 161000.68573767410 }, { 0.00000000004, 3.65509047070, 25132.30339996560 }, { 0.00000000002, 0.54880603487, 6438.49624942560 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_EARTH[] = -{ +constexpr array g_VSOP87B_L5_EARTH +{ { { 0.00000000172, 2.74854172392, 6283.07584999140 }, { 0.00000000050, 2.01352986713, 155.42039943420 }, { 0.00000000028, 2.93369985477, 12566.15169998280 }, { 0.00000000005, 1.93829214518, 18849.22754997420 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_EARTH[] = -{ +constexpr array g_VSOP87B_B0_EARTH +{ { { 0.00000279620, 3.19870156017, 84334.66158130829 }, { 0.00000101643, 5.42248619256, 5507.55323866740 }, { 0.00000080445, 3.88013204458, 5223.69391980220 }, @@ -1424,10 +1430,10 @@ const VSOP87Coefficient g_VSOP87B_B0_EARTH[] = { 0.00000000054, 3.38482031504, 323049.11878710287 }, { 0.00000000039, 3.28500401937, 71768.50988132549 }, { 0.00000000039, 3.11239910096, 96900.81328129109 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_EARTH[] = -{ +constexpr array g_VSOP87B_B1_EARTH +{ { { 0.00227777722, 3.41376620530, 6283.07584999140 }, { 0.00003805678, 3.37063423795, 12566.15169998280 }, { 0.00003619589, 0.00000000000, 0.00000000000 }, @@ -1562,10 +1568,10 @@ const VSOP87Coefficient g_VSOP87B_B1_EARTH[] = { 0.00000000023, 3.24047012195, 31415.37924995700 }, { 0.00000000027, 3.90672018305, 18451.07854656599 }, { 0.00000000021, 3.51419811826, 10447.38783960440 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_EARTH[] = -{ +constexpr array g_VSOP87B_B2_EARTH +{ { { 0.00009721424, 5.15192809920, 6283.07584999140 }, { 0.00000233002, 3.14159265359, 0.00000000000 }, { 0.00000134188, 0.64406212977, 12566.15169998280 }, @@ -1628,10 +1634,10 @@ const VSOP87Coefficient g_VSOP87B_B2_EARTH[] = { 0.00000000012, 1.12997370513, 90617.73743129970 }, { 0.00000000012, 0.00611601597, 18073.70493865020 }, { 0.00000000012, 1.70058636365, 12559.03815298200 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_EARTH[] = -{ +constexpr array g_VSOP87B_B3_EARTH +{ { { 0.00000275993, 0.59480097092, 6283.07584999140 }, { 0.00000017034, 3.14159265359, 0.00000000000 }, { 0.00000003617, 0.11750575325, 12566.15169998280 }, @@ -1646,26 +1652,26 @@ const VSOP87Coefficient g_VSOP87B_B3_EARTH[] = { 0.00000000013, 5.54637369296, 25132.30339996560 }, { 0.00000000010, 2.91937214232, 71430.69561812909 }, { 0.00000000006, 2.14173241210, 11856.21865142450 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_EARTH[] = -{ +constexpr array g_VSOP87B_B4_EARTH +{ { { 0.00000005745, 2.26734029843, 6283.07584999140 }, { 0.00000000870, 0.00000000000, 0.00000000000 }, { 0.00000000119, 4.26807972611, 12566.15169998280 }, { 0.00000000017, 4.07422620440, 18849.22754997420 }, { 0.00000000005, 0.84308705203, 1047.74731175470 }, { 0.00000000005, 0.05711572303, 84334.66158130829 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_EARTH[] = -{ +constexpr array g_VSOP87B_B5_EARTH +{ { { 0.00000000114, 4.31455980099, 6283.07584999140 }, { 0.00000000024, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_EARTH[] = -{ +constexpr array g_VSOP87B_R0_EARTH +{ { { 1.00013988784, 0.00000000000, 0.00000000000 }, { 0.01670699632, 3.09846350258, 6283.07584999140 }, { 0.00013956024, 3.05524609456, 12566.15169998280 }, @@ -2189,10 +2195,10 @@ const VSOP87Coefficient g_VSOP87B_R0_EARTH[] = { 0.00000000043, 2.40863861919, 29424.63423291600 }, { 0.00000000046, 2.08022244271, 12573.26524698360 }, { 0.00000000050, 6.15760345261, 78051.34191383339 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_EARTH[] = -{ +constexpr array g_VSOP87B_R1_EARTH +{ { { 0.00103018607, 1.10748968172, 6283.07584999140 }, { 0.00001721238, 1.06442300386, 12566.15169998280 }, { 0.00000702217, 3.14159265359, 0.00000000000 }, @@ -2483,10 +2489,10 @@ const VSOP87Coefficient g_VSOP87B_R1_EARTH[] = { 0.00000000019, 4.71432851499, 77690.75950573849 }, { 0.00000000019, 2.54227398241, 77736.78343050249 }, { 0.00000000020, 5.91915117116, 48739.85989708300 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_EARTH[] = -{ +constexpr array g_VSOP87B_R2_EARTH +{ { { 0.00004359385, 5.78455133808, 6283.07584999140 }, { 0.00000123633, 5.57935427994, 12566.15169998280 }, { 0.00000012342, 3.14159265359, 0.00000000000 }, @@ -2621,10 +2627,10 @@ const VSOP87Coefficient g_VSOP87B_R2_EARTH[] = { 0.00000000011, 1.51443332200, 16200.77272450120 }, { 0.00000000011, 0.88708889185, 21228.39202354580 }, { 0.00000000014, 4.50116508534, 640.87760738220 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_EARTH[] = -{ +constexpr array g_VSOP87B_R3_EARTH +{ { { 0.00000144595, 4.27319433901, 6283.07584999140 }, { 0.00000006729, 3.91706261708, 12566.15169998280 }, { 0.00000000774, 0.00000000000, 0.00000000000 }, @@ -2645,10 +2651,10 @@ const VSOP87Coefficient g_VSOP87B_R3_EARTH[] = { 0.00000000007, 3.50146897332, 7058.59846131540 }, { 0.00000000005, 2.89071061700, 775.52261132400 }, { 0.00000000006, 2.36514111314, 6836.64525283380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_EARTH[] = -{ +constexpr array g_VSOP87B_R4_EARTH +{ { { 0.00000003858, 2.56389016346, 6283.07584999140 }, { 0.00000000306, 2.26911740541, 12566.15169998280 }, { 0.00000000053, 3.44031471924, 5573.14280143310 }, @@ -2658,74 +2664,73 @@ const VSOP87Coefficient g_VSOP87B_R4_EARTH[] = { 0.00000000004, 5.33854414781, 6438.49624942560 }, { 0.00000000006, 3.81514213664, 149854.40013480789 }, { 0.00000000004, 4.26602478239, 6127.65545055720 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_EARTH[] = -{ +constexpr array g_VSOP87B_R5_EARTH +{ { { 0.00000000086, 1.21805304895, 6283.07584999140 }, { 0.00000000012, 0.65572878044, 12566.15169998280 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_EARTH[] = -{ - { g_VSOP87B_L0_EARTH, sizeof(g_VSOP87B_L0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_EARTH, sizeof(g_VSOP87B_L1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_EARTH, sizeof(g_VSOP87B_L2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_EARTH, sizeof(g_VSOP87B_L3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_EARTH, sizeof(g_VSOP87B_L4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_EARTH, sizeof(g_VSOP87B_L5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_EARTH +{ { + { g_VSOP87B_L0_EARTH.data(), g_VSOP87B_L0_EARTH.size() }, + { g_VSOP87B_L1_EARTH.data(), g_VSOP87B_L1_EARTH.size() }, + { g_VSOP87B_L2_EARTH.data(), g_VSOP87B_L2_EARTH.size() }, + { g_VSOP87B_L3_EARTH.data(), g_VSOP87B_L3_EARTH.size() }, + { g_VSOP87B_L4_EARTH.data(), g_VSOP87B_L4_EARTH.size() }, + { g_VSOP87B_L5_EARTH.data(), g_VSOP87B_L5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_EARTH[] = -{ - { g_VSOP87B_B0_EARTH, sizeof(g_VSOP87B_B0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_EARTH, sizeof(g_VSOP87B_B1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_EARTH, sizeof(g_VSOP87B_B2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_EARTH, sizeof(g_VSOP87B_B3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_EARTH, sizeof(g_VSOP87B_B4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_EARTH, sizeof(g_VSOP87B_B5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_EARTH +{ { + { g_VSOP87B_B0_EARTH.data(), g_VSOP87B_B0_EARTH.size() }, + { g_VSOP87B_B1_EARTH.data(), g_VSOP87B_B1_EARTH.size() }, + { g_VSOP87B_B2_EARTH.data(), g_VSOP87B_B2_EARTH.size() }, + { g_VSOP87B_B3_EARTH.data(), g_VSOP87B_B3_EARTH.size() }, + { g_VSOP87B_B4_EARTH.data(), g_VSOP87B_B4_EARTH.size() }, + { g_VSOP87B_B5_EARTH.data(), g_VSOP87B_B5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_EARTH[] = -{ - { g_VSOP87B_R0_EARTH, sizeof(g_VSOP87B_R0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_EARTH, sizeof(g_VSOP87B_R1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_EARTH, sizeof(g_VSOP87B_R2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_EARTH, sizeof(g_VSOP87B_R3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_EARTH, sizeof(g_VSOP87B_R4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_EARTH, sizeof(g_VSOP87B_R5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_EARTH +{ { + { g_VSOP87B_R0_EARTH.data(), g_VSOP87B_R0_EARTH.size() }, + { g_VSOP87B_R1_EARTH.data(), g_VSOP87B_R1_EARTH.size() }, + { g_VSOP87B_R2_EARTH.data(), g_VSOP87B_R2_EARTH.size() }, + { g_VSOP87B_R3_EARTH.data(), g_VSOP87B_R3_EARTH.size() }, + { g_VSOP87B_R4_EARTH.data(), g_VSOP87B_R4_EARTH.size() }, + { g_VSOP87B_R5_EARTH.data(), g_VSOP87B_R5_EARTH.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Earth::L(double JD) +double CAAVSOP87B_Earth::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_EARTH, sizeof(g_VSOP87B_L_EARTH)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_EARTH.data(), g_VSOP87B_L_EARTH.size(), true); } -double CAAVSOP87B_Earth::L_DASH(double JD) +double CAAVSOP87B_Earth::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_EARTH, sizeof(g_VSOP87B_L_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_EARTH.data(), g_VSOP87B_L_EARTH.size()); } -double CAAVSOP87B_Earth::B(double JD) +double CAAVSOP87B_Earth::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_EARTH, sizeof(g_VSOP87B_B_EARTH)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_EARTH.data(), g_VSOP87B_B_EARTH.size(), true); } -double CAAVSOP87B_Earth::B_DASH(double JD) +double CAAVSOP87B_Earth::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_EARTH, sizeof(g_VSOP87B_B_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_EARTH.data(), g_VSOP87B_B_EARTH.size()); } -double CAAVSOP87B_Earth::R(double JD) +double CAAVSOP87B_Earth::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_EARTH, sizeof(g_VSOP87B_R_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_EARTH.data(), g_VSOP87B_R_EARTH.size(), false); } -double CAAVSOP87B_Earth::R_DASH(double JD) +double CAAVSOP87B_Earth::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_EARTH, sizeof(g_VSOP87B_R_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_EARTH.data(), g_VSOP87B_R_EARTH.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_EAR.h b/Sources/AAPlus/include/AAVSOP87B_EAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_EAR.h rename to Sources/AAPlus/include/AAVSOP87B_EAR.h index 1cf8357..96729dc --- a/Vendor/AA+/1.6.3/AAVSOP87B_EAR.h +++ b/Sources/AAPlus/include/AAVSOP87B_EAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_EAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Earth { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_JUP.h b/Sources/AAPlus/include/AAVSOP87B_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_JUP.h rename to Sources/AAPlus/include/AAVSOP87B_JUP.h index cf38257..f61ba5a --- a/Vendor/AA+/1.6.3/AAVSOP87B_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87B_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Jupiter { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_MAR.h b/Sources/AAPlus/include/AAVSOP87B_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_MAR.h rename to Sources/AAPlus/include/AAVSOP87B_MAR.h index e6f63cf..e3980a4 --- a/Vendor/AA+/1.6.3/AAVSOP87B_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87B_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Mars { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_MER.h b/Sources/AAPlus/include/AAVSOP87B_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_MER.h rename to Sources/AAPlus/include/AAVSOP87B_MER.h index 0bb07c8..37b93c6 --- a/Vendor/AA+/1.6.3/AAVSOP87B_MER.h +++ b/Sources/AAPlus/include/AAVSOP87B_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Mercury { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_NEP.cpp b/Sources/AAPlus/include/AAVSOP87B_NEP.cpp old mode 100755 new mode 100644 similarity index 96% rename from Vendor/AA+/1.6.3/AAVSOP87B_NEP.cpp rename to Sources/AAPlus/include/AAVSOP87B_NEP.cpp index ea093d0..d5d654a --- a/Vendor/AA+/1.6.3/AAVSOP87B_NEP.cpp +++ b/Sources/AAPlus/include/AAVSOP87B_NEP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_NEPTUNE +{ { { 5.31188633046, 0.00000000000, 0.00000000000 }, { 0.01798475530, 2.90101273890, 38.13303563780 }, { 0.01019727652, 0.48580922867, 1.48447270830 }, @@ -571,10 +577,10 @@ const VSOP87Coefficient g_VSOP87B_L0_NEPTUNE[] = { 0.00000000091, 0.87037832675, 369.45457471160 }, { 0.00000000072, 2.86956711212, 134.06407874580 }, { 0.00000000084, 3.30910046360, 40.84134862350 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_NEPTUNE[] = -{ +constexpr array g_VSOP87B_L1_NEPTUNE +{ { { 38.13303563957, 0.00000000000, 0.00000000000 }, { 0.00016604172, 4.86323329249, 1.48447270830 }, { 0.00015744045, 2.27887427527, 38.13303563780 }, @@ -799,10 +805,10 @@ const VSOP87Coefficient g_VSOP87B_L1_NEPTUNE[] = { 0.00000000073, 3.90646647360, 1019.76442184310 }, { 0.00000000092, 5.35417312882, 44.07092647100 }, { 0.00000000097, 1.10874938473, 1371.58101415180 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_NEPTUNE[] = -{ +constexpr array g_VSOP87B_L2_NEPTUNE +{ { { 0.00000286136, 1.18985661922, 38.13303563780 }, { 0.00000295650, 1.85520880574, 1.48447270830 }, { 0.00000102284, 0.00000000000, 0.00000000000 }, @@ -862,10 +868,10 @@ const VSOP87Coefficient g_VSOP87B_L2_NEPTUNE[] = { 0.00000000086, 5.12698345709, 567.82400073240 }, { 0.00000000086, 2.24868532014, 312.19908396260 }, { 0.00000000079, 2.04262119026, 274.06604832480 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_NEPTUNE[] = -{ +constexpr array g_VSOP87B_L3_NEPTUNE +{ { { 0.00000012472, 6.04427218715, 1.48447270830 }, { 0.00000011257, 6.11436681584, 38.13303563780 }, { 0.00000004354, 3.14159265359, 0.00000000000 }, @@ -884,10 +890,10 @@ const VSOP87Coefficient g_VSOP87B_L3_NEPTUNE[] = { 0.00000000108, 3.45112519708, 522.57741809380 }, { 0.00000000108, 2.36456446266, 536.80451209540 }, { 0.00000000085, 4.34146183645, 433.71173787680 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_NEPTUNE[] = -{ +constexpr array g_VSOP87B_B0_NEPTUNE +{ { { 0.03088622933, 1.44104372644, 38.13303563780 }, { 0.00027780087, 5.91271884599, 76.26607127560 }, { 0.00027623609, 0.00000000000, 0.00000000000 }, @@ -1060,10 +1066,10 @@ const VSOP87Coefficient g_VSOP87B_B0_NEPTUNE[] = { 0.00000000080, 1.58140274465, 69.15252427480 }, { 0.00000000074, 0.23362667562, 63.73589830340 }, { 0.00000000071, 1.51961975694, 488.58898404020 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_NEPTUNE[] = -{ +constexpr array g_VSOP87B_B1_NEPTUNE +{ { { 0.00005150897, 2.14270496419, 38.13303563780 }, { 0.00000258298, 5.46539598920, 76.26607127560 }, { 0.00000251862, 4.40444268588, 36.64856292950 }, @@ -1113,10 +1119,10 @@ const VSOP87Coefficient g_VSOP87B_B1_NEPTUNE[] = { 0.00000000167, 5.03534602485, 79.23501669220 }, { 0.00000000133, 2.11377639696, 152.53214255120 }, { 0.00000000082, 3.63263716103, 491.55792945680 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_NEPTUNE[] = -{ +constexpr array g_VSOP87B_B2_NEPTUNE +{ { { 0.00000042058, 1.91480759314, 38.13303563780 }, { 0.00000004359, 4.77459417163, 39.61750834610 }, { 0.00000004230, 1.12991232222, 36.64856292950 }, @@ -1130,16 +1136,16 @@ const VSOP87Coefficient g_VSOP87B_B2_NEPTUNE[] = { 0.00000000132, 4.73251124812, 206.18554843720 }, { 0.00000000084, 3.93928282212, 129.91947716160 }, { 0.00000000080, 0.01151271706, 144.14657116320 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_NEPTUNE[] = -{ +constexpr array g_VSOP87B_B3_NEPTUNE +{ { { 0.00000004131, 3.06928911462, 38.13303563780 }, { 0.00000000143, 4.00453590187, 36.64856292950 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_NEPTUNE[] = -{ +constexpr array g_VSOP87B_R0_NEPTUNE +{ { { 30.07013205828, 0.00000000000, 0.00000000000 }, { 0.27062259632, 1.32999459377, 38.13303563780 }, { 0.01691764014, 3.25186135653, 36.64856292950 }, @@ -1736,10 +1742,10 @@ const VSOP87Coefficient g_VSOP87B_R0_NEPTUNE[] = { 0.00000002339, 0.75318738767, 478.81530816350 }, { 0.00000003011, 0.16359500858, 54.28654533240 }, { 0.00000003011, 1.03494557852, 21.97952594320 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_NEPTUNE[] = -{ +constexpr array g_VSOP87B_R1_NEPTUNE +{ { { 0.00236338618, 0.70497954792, 38.13303563780 }, { 0.00013220034, 3.32014387930, 1.48447270830 }, { 0.00008621779, 6.21626927537, 35.16409022120 }, @@ -1991,10 +1997,10 @@ const VSOP87Coefficient g_VSOP87B_R1_NEPTUNE[] = { 0.00000002324, 3.99503920129, 481.26298871830 }, { 0.00000002962, 1.74151265966, 2080.63082474060 }, { 0.00000002621, 1.74442251671, 35.21227433100 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_NEPTUNE[] = -{ +constexpr array g_VSOP87B_R2_NEPTUNE +{ { { 0.00004247776, 5.89911844921, 38.13303563780 }, { 0.00000217404, 0.34589546713, 1.48447270830 }, { 0.00000163025, 2.23872947130, 168.05251279940 }, @@ -2066,10 +2072,10 @@ const VSOP87Coefficient g_VSOP87B_R2_NEPTUNE[] = { 0.00000002342, 0.96469916587, 1019.76442184310 }, { 0.00000002500, 0.70282276030, 707.77778620160 }, { 0.00000002480, 4.59623030219, 693.55069220000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_NEPTUNE[] = -{ +constexpr array g_VSOP87B_R3_NEPTUNE +{ { { 0.00000166556, 4.55393495836, 38.13303563780 }, { 0.00000022380, 3.94830879358, 168.05251279940 }, { 0.00000021348, 2.86296778794, 182.27960680100 }, @@ -2093,10 +2099,10 @@ const VSOP87Coefficient g_VSOP87B_R3_NEPTUNE[] = { 0.00000002874, 6.19643340540, 815.06334611420 }, { 0.00000002450, 2.14451121185, 39.61750834610 }, { 0.00000002278, 3.66579603119, 497.18700374930 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_NEPTUNE[] = -{ +constexpr array g_VSOP87B_R4_NEPTUNE +{ { { 0.00000004227, 2.40375758563, 477.33083545520 }, { 0.00000004333, 0.10459484545, 395.57870223900 }, { 0.00000003545, 4.78431259422, 1028.36244155220 }, @@ -2104,63 +2110,62 @@ const VSOP87Coefficient g_VSOP87B_R4_NEPTUNE[] = { 0.00000003016, 1.03609346831, 189.39315380180 }, { 0.00000002294, 1.10879658603, 182.27960680100 }, { 0.00000002295, 5.67776133184, 168.05251279940 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_NEPTUNE[] = -{ - { g_VSOP87B_L0_NEPTUNE, sizeof(g_VSOP87B_L0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_NEPTUNE, sizeof(g_VSOP87B_L1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_NEPTUNE, sizeof(g_VSOP87B_L2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_NEPTUNE, sizeof(g_VSOP87B_L3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_NEPTUNE +{ { + { g_VSOP87B_L0_NEPTUNE.data(), g_VSOP87B_L0_NEPTUNE.size() }, + { g_VSOP87B_L1_NEPTUNE.data(), g_VSOP87B_L1_NEPTUNE.size() }, + { g_VSOP87B_L2_NEPTUNE.data(), g_VSOP87B_L2_NEPTUNE.size() }, + { g_VSOP87B_L3_NEPTUNE.data(), g_VSOP87B_L3_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_NEPTUNE[] = -{ - { g_VSOP87B_B0_NEPTUNE, sizeof(g_VSOP87B_B0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_NEPTUNE, sizeof(g_VSOP87B_B1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_NEPTUNE, sizeof(g_VSOP87B_B2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_NEPTUNE, sizeof(g_VSOP87B_B3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_NEPTUNE +{ { + { g_VSOP87B_B0_NEPTUNE.data(), g_VSOP87B_B0_NEPTUNE.size() }, + { g_VSOP87B_B1_NEPTUNE.data(), g_VSOP87B_B1_NEPTUNE.size() }, + { g_VSOP87B_B2_NEPTUNE.data(), g_VSOP87B_B2_NEPTUNE.size() }, + { g_VSOP87B_B3_NEPTUNE.data(), g_VSOP87B_B3_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_NEPTUNE[] = -{ - { g_VSOP87B_R0_NEPTUNE, sizeof(g_VSOP87B_R0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_NEPTUNE, sizeof(g_VSOP87B_R1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_NEPTUNE, sizeof(g_VSOP87B_R2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_NEPTUNE, sizeof(g_VSOP87B_R3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_NEPTUNE, sizeof(g_VSOP87B_R4_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_NEPTUNE +{ { + { g_VSOP87B_R0_NEPTUNE.data(), g_VSOP87B_R0_NEPTUNE.size() }, + { g_VSOP87B_R1_NEPTUNE.data(), g_VSOP87B_R1_NEPTUNE.size() }, + { g_VSOP87B_R2_NEPTUNE.data(), g_VSOP87B_R2_NEPTUNE.size() }, + { g_VSOP87B_R3_NEPTUNE.data(), g_VSOP87B_R3_NEPTUNE.size() }, + { g_VSOP87B_R4_NEPTUNE.data(), g_VSOP87B_R4_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Neptune::L(double JD) +double CAAVSOP87B_Neptune::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_NEPTUNE, sizeof(g_VSOP87B_L_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_NEPTUNE.data(), g_VSOP87B_L_NEPTUNE.size(), true); } -double CAAVSOP87B_Neptune::L_DASH(double JD) +double CAAVSOP87B_Neptune::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_NEPTUNE, sizeof(g_VSOP87B_L_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_NEPTUNE.data(), g_VSOP87B_L_NEPTUNE.size()); } -double CAAVSOP87B_Neptune::B(double JD) +double CAAVSOP87B_Neptune::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_NEPTUNE, sizeof(g_VSOP87B_B_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_NEPTUNE.data(), g_VSOP87B_B_NEPTUNE.size(), true); } -double CAAVSOP87B_Neptune::B_DASH(double JD) +double CAAVSOP87B_Neptune::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_NEPTUNE, sizeof(g_VSOP87B_B_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_NEPTUNE.data(), g_VSOP87B_B_NEPTUNE.size()); } -double CAAVSOP87B_Neptune::R(double JD) +double CAAVSOP87B_Neptune::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_NEPTUNE, sizeof(g_VSOP87B_R_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_NEPTUNE.data(), g_VSOP87B_R_NEPTUNE.size(), false); } -double CAAVSOP87B_Neptune::R_DASH(double JD) +double CAAVSOP87B_Neptune::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_NEPTUNE, sizeof(g_VSOP87B_R_NEPTUNE)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_NEPTUNE.data(), g_VSOP87B_R_NEPTUNE.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_NEP.h b/Sources/AAPlus/include/AAVSOP87B_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_NEP.h rename to Sources/AAPlus/include/AAVSOP87B_NEP.h index e315e35..29dfa90 --- a/Vendor/AA+/1.6.3/AAVSOP87B_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87B_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Neptune { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_SAT.h b/Sources/AAPlus/include/AAVSOP87B_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_SAT.h rename to Sources/AAPlus/include/AAVSOP87B_SAT.h index 9ae066a..8ef2a1a --- a/Vendor/AA+/1.6.3/AAVSOP87B_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87B_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Saturn { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_URA.cpp b/Sources/AAPlus/include/AAVSOP87B_URA.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87B_URA.cpp rename to Sources/AAPlus/include/AAVSOP87B_URA.cpp index 1107470..009612a --- a/Vendor/AA+/1.6.3/AAVSOP87B_URA.cpp +++ b/Sources/AAPlus/include/AAVSOP87B_URA.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_URANUS +{ { { 5.48129294297, 0.00000000000, 0.00000000000 }, { 0.09260408234, 0.89106421507, 74.78159856730 }, { 0.01504247898, 3.62719260920, 1.48447270830 }, @@ -1473,10 +1479,10 @@ const VSOP87Coefficient g_VSOP87B_L0_URANUS[] = { 0.00000000074, 4.22820017237, 1274.96864748760 }, { 0.00000000074, 2.78217896807, 1522.20799286940 }, { 0.00000000074, 4.38596183925, 1372.64479573480 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_URANUS[] = -{ +constexpr array g_VSOP87B_L1_URANUS +{ { { 74.78159860910, 0.00000000000, 0.00000000000 }, { 0.00154332863, 5.24158770553, 74.78159856730 }, { 0.00024456474, 1.71260334156, 1.48447270830 }, @@ -2132,10 +2138,10 @@ const VSOP87Coefficient g_VSOP87B_L1_URANUS[] = { 0.00000000076, 2.51848136880, 84.93352695390 }, { 0.00000000097, 2.40670778188, 75.67537044460 }, { 0.00000000078, 5.68434801179, 221.89711514710 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_URANUS[] = -{ +constexpr array g_VSOP87B_L2_URANUS +{ { { 0.00002349469, 2.26708640433, 74.78159856730 }, { 0.00000848806, 3.14159265359, 0.00000000000 }, { 0.00000768983, 4.52562378749, 11.04570026390 }, @@ -2395,10 +2401,10 @@ const VSOP87Coefficient g_VSOP87B_L2_URANUS[] = { 0.00000000079, 1.91762400825, 901.95442652840 }, { 0.00000000089, 3.64708770174, 810.65811209910 }, { 0.00000000084, 1.50560186863, 419.48464387520 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_URANUS[] = -{ +constexpr array g_VSOP87B_L3_URANUS +{ { { 0.00000122192, 0.02112102225, 74.78159856730 }, { 0.00000068195, 4.12138633187, 3.93215326310 }, { 0.00000052729, 2.38808499397, 11.04570026390 }, @@ -2468,10 +2474,10 @@ const VSOP87Coefficient g_VSOP87B_L3_URANUS[] = { 0.00000000090, 4.64083951502, 411.62033734900 }, { 0.00000000080, 3.36996054975, 497.44763618020 }, { 0.00000000085, 2.90593266919, 483.22054217860 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_URANUS[] = -{ +constexpr array g_VSOP87B_L4_URANUS +{ { { 0.00000005536, 4.57721551627, 74.78159856730 }, { 0.00000003183, 0.34467460171, 11.04570026390 }, { 0.00000001207, 3.40871377105, 56.62235130260 }, @@ -2480,10 +2486,10 @@ const VSOP87Coefficient g_VSOP87B_L4_URANUS[] = { 0.00000000247, 2.07784257495, 63.73589830340 }, { 0.00000000109, 2.75514337970, 85.82729883120 }, { 0.00000000092, 5.02598538441, 131.40394986990 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_URANUS[] = -{ +constexpr array g_VSOP87B_B0_URANUS +{ { { 0.01346277648, 2.61877810547, 74.78159856730 }, { 0.00062341400, 5.08111189648, 149.56319713460 }, { 0.00061601196, 3.14159265359, 0.00000000000 }, @@ -2795,10 +2801,10 @@ const VSOP87Coefficient g_VSOP87B_B0_URANUS[] = { 0.00000000074, 0.54434880673, 33.13710079170 }, { 0.00000000075, 2.44458975326, 120.99138905240 }, { 0.00000000074, 0.63126666381, 335.77495719870 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_URANUS[] = -{ +constexpr array g_VSOP87B_B1_URANUS +{ { { 0.00034101978, 0.01321929936, 74.78159856730 }, { 0.00002480115, 2.73961370453, 149.56319713460 }, { 0.00001719377, 0.00000000000, 0.00000000000 }, @@ -2929,10 +2935,10 @@ const VSOP87Coefficient g_VSOP87B_B1_URANUS[] = { 0.00000000085, 6.15025173870, 269.92144674060 }, { 0.00000000085, 3.47642579503, 296.15744885260 }, { 0.00000000078, 0.83351167637, 144.14657116320 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_URANUS[] = -{ +constexpr array g_VSOP87B_B2_URANUS +{ { { 0.00000764663, 1.74870957857, 74.78159856730 }, { 0.00000055734, 3.14159265359, 0.00000000000 }, { 0.00000025641, 5.67301557131, 149.56319713460 }, @@ -2972,10 +2978,10 @@ const VSOP87Coefficient g_VSOP87B_B2_URANUS[] = { 0.00000000096, 1.97465913947, 225.82926841020 }, { 0.00000000076, 1.48178075191, 206.18554843720 }, { 0.00000000085, 2.49786959141, 380.12776796000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_URANUS[] = -{ +constexpr array g_VSOP87B_B3_URANUS +{ { { 0.00000021201, 3.16540759295, 74.78159856730 }, { 0.00000001182, 4.44441014271, 149.56319713460 }, { 0.00000001184, 3.14159265359, 0.00000000000 }, @@ -2991,10 +2997,10 @@ const VSOP87Coefficient g_VSOP87B_B3_URANUS[] = { 0.00000000099, 0.42283006135, 224.34479570190 }, { 0.00000000088, 2.27837607751, 145.63104387150 }, { 0.00000000079, 3.66485269931, 138.51749687070 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_URANUS[] = -{ +constexpr array g_VSOP87B_R0_URANUS +{ { { 19.21264847206, 0.00000000000, 0.00000000000 }, { 0.88784984413, 5.60377527014, 74.78159856730 }, { 0.03440836062, 0.32836099706, 73.29712585900 }, @@ -4382,10 +4388,10 @@ const VSOP87Coefficient g_VSOP87B_R0_URANUS[] = { 0.00000001450, 3.85293024011, 907.37105249980 }, { 0.00000001369, 1.34933149459, 1130.23137549340 }, { 0.00000001420, 2.79221953555, 396.54191008550 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_URANUS[] = -{ +constexpr array g_VSOP87B_R1_URANUS +{ { { 0.01479896629, 3.67205697578, 74.78159856730 }, { 0.00071212143, 6.22600975161, 63.73589830340 }, { 0.00068627160, 6.13411179902, 149.56319713460 }, @@ -5011,10 +5017,10 @@ const VSOP87Coefficient g_VSOP87B_R1_URANUS[] = { 0.00000001366, 4.78315200862, 470.69036920640 }, { 0.00000001390, 5.76987164020, 79.88940799800 }, { 0.00000001461, 3.00376275716, 632.78373931320 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_URANUS[] = -{ +constexpr array g_VSOP87B_R2_URANUS +{ { { 0.00022439899, 0.69953310903, 74.78159856730 }, { 0.00004726838, 1.69896897296, 63.73589830340 }, { 0.00001681383, 4.64842242588, 70.84944530420 }, @@ -5264,10 +5270,10 @@ const VSOP87Coefficient g_VSOP87B_R2_URANUS[] = { 0.00000001382, 2.10457236484, 458.84151979040 }, { 0.00000001513, 1.88475439191, 1051.51762366300 }, { 0.00000001368, 5.67966974902, 66.70484372000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_URANUS[] = -{ +constexpr array g_VSOP87B_R3_URANUS +{ { { 0.00001164663, 4.73440180792, 74.78159856730 }, { 0.00000212363, 3.34268349684, 63.73589830340 }, { 0.00000196315, 2.98101237100, 70.84944530420 }, @@ -5337,10 +5343,10 @@ const VSOP87Coefficient g_VSOP87B_R3_URANUS[] = { 0.00000001399, 5.26616832831, 909.81873305460 }, { 0.00000001399, 3.66246604373, 1059.38193018920 }, { 0.00000001401, 4.64442933182, 96.87299909510 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_URANUS[] = -{ +constexpr array g_VSOP87B_R4_URANUS +{ { { 0.00000053224, 3.00468894529, 74.78159856730 }, { 0.00000009887, 1.91399083603, 56.62235130260 }, { 0.00000007008, 5.08677527404, 11.04570026390 }, @@ -5353,64 +5359,63 @@ const VSOP87Coefficient g_VSOP87B_R4_URANUS[] = { 0.00000002288, 2.23425399117, 440.68227252570 }, { 0.00000002472, 3.28269448244, 18.15924726470 }, { 0.00000002837, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_URANUS[] = -{ - { g_VSOP87B_L0_URANUS, sizeof(g_VSOP87B_L0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_URANUS, sizeof(g_VSOP87B_L1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_URANUS, sizeof(g_VSOP87B_L2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_URANUS, sizeof(g_VSOP87B_L3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_URANUS, sizeof(g_VSOP87B_L4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_URANUS +{ { + { g_VSOP87B_L0_URANUS.data(), g_VSOP87B_L0_URANUS.size() }, + { g_VSOP87B_L1_URANUS.data(), g_VSOP87B_L1_URANUS.size() }, + { g_VSOP87B_L2_URANUS.data(), g_VSOP87B_L2_URANUS.size() }, + { g_VSOP87B_L3_URANUS.data(), g_VSOP87B_L3_URANUS.size() }, + { g_VSOP87B_L4_URANUS.data(), g_VSOP87B_L4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_URANUS[] = -{ - { g_VSOP87B_B0_URANUS, sizeof(g_VSOP87B_B0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_URANUS, sizeof(g_VSOP87B_B1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_URANUS, sizeof(g_VSOP87B_B2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_URANUS, sizeof(g_VSOP87B_B3_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_URANUS +{ { + { g_VSOP87B_B0_URANUS.data(), g_VSOP87B_B0_URANUS.size() }, + { g_VSOP87B_B1_URANUS.data(), g_VSOP87B_B1_URANUS.size() }, + { g_VSOP87B_B2_URANUS.data(), g_VSOP87B_B2_URANUS.size() }, + { g_VSOP87B_B3_URANUS.data(), g_VSOP87B_B3_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_URANUS[] = -{ - { g_VSOP87B_R0_URANUS, sizeof(g_VSOP87B_R0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_URANUS, sizeof(g_VSOP87B_R1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_URANUS, sizeof(g_VSOP87B_R2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_URANUS, sizeof(g_VSOP87B_R3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_URANUS, sizeof(g_VSOP87B_R4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_URANUS +{ { + { g_VSOP87B_R0_URANUS.data(), g_VSOP87B_R0_URANUS.size() }, + { g_VSOP87B_R1_URANUS.data(), g_VSOP87B_R1_URANUS.size() }, + { g_VSOP87B_R2_URANUS.data(), g_VSOP87B_R2_URANUS.size() }, + { g_VSOP87B_R3_URANUS.data(), g_VSOP87B_R3_URANUS.size() }, + { g_VSOP87B_R4_URANUS.data(), g_VSOP87B_R4_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Uranus::L(double JD) +double CAAVSOP87B_Uranus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_URANUS, sizeof(g_VSOP87B_L_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_URANUS.data(), g_VSOP87B_L_URANUS.size(), true); } -double CAAVSOP87B_Uranus::L_DASH(double JD) +double CAAVSOP87B_Uranus::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_URANUS, sizeof(g_VSOP87B_L_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_URANUS.data(), g_VSOP87B_L_URANUS.size()); } -double CAAVSOP87B_Uranus::B(double JD) +double CAAVSOP87B_Uranus::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_URANUS, sizeof(g_VSOP87B_B_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_URANUS.data(), g_VSOP87B_B_URANUS.size(), true); } -double CAAVSOP87B_Uranus::B_DASH(double JD) +double CAAVSOP87B_Uranus::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_URANUS, sizeof(g_VSOP87B_B_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_URANUS.data(), g_VSOP87B_B_URANUS.size()); } -double CAAVSOP87B_Uranus::R(double JD) +double CAAVSOP87B_Uranus::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_URANUS, sizeof(g_VSOP87B_R_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_URANUS.data(), g_VSOP87B_R_URANUS.size(), false); } -double CAAVSOP87B_Uranus::R_DASH(double JD) +double CAAVSOP87B_Uranus::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_URANUS, sizeof(g_VSOP87B_R_URANUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_URANUS.data(), g_VSOP87B_R_URANUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_URA.h b/Sources/AAPlus/include/AAVSOP87B_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_URA.h rename to Sources/AAPlus/include/AAVSOP87B_URA.h index c21df18..c28f89e --- a/Vendor/AA+/1.6.3/AAVSOP87B_URA.h +++ b/Sources/AAPlus/include/AAVSOP87B_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Uranus { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_VEN.cpp b/Sources/AAPlus/include/AAVSOP87B_VEN.cpp old mode 100755 new mode 100644 similarity index 95% rename from Vendor/AA+/1.6.3/AAVSOP87B_VEN.cpp rename to Sources/AAPlus/include/AAVSOP87B_VEN.cpp index 7271fc2..1ee9ffe --- a/Vendor/AA+/1.6.3/AAVSOP87B_VEN.cpp +++ b/Sources/AAPlus/include/AAVSOP87B_VEN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87B_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87B_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87B_L0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87B_L0_VENUS +{ { { 3.17614666774, 0.00000000000, 0.00000000000 }, { 0.01353968419, 5.59313319619, 10213.28554621100 }, { 0.00089891645, 5.30650047764, 20426.57109242200 }, @@ -448,10 +454,10 @@ const VSOP87Coefficient g_VSOP87B_L0_VENUS[] = { 0.00000000048, 1.18664500846, 28306.66024576099 }, { 0.00000000036, 0.64770877031, 1478.86657406440 }, { 0.00000000048, 0.40666475573, 40103.91789331980 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L1_VENUS[] = -{ +constexpr array g_VSOP87B_L1_VENUS +{ { { 10213.28554621638, 0.00000000000, 0.00000000000 }, { 0.00095617813, 2.46406511110, 10213.28554621100 }, { 0.00007787201, 0.62478482220, 20426.57109242200 }, @@ -687,10 +693,10 @@ const VSOP87Coefficient g_VSOP87B_L1_VENUS[] = { 0.00000000022, 4.07064236572, 77026.85038194420 }, { 0.00000000020, 3.00992711288, 24383.07910844140 }, { 0.00000000023, 2.62973172963, 17248.42530185440 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L2_VENUS[] = -{ +constexpr array g_VSOP87B_L2_VENUS +{ { { 0.00003894209, 0.34823650721, 10213.28554621100 }, { 0.00000595403, 2.01456107998, 20426.57109242200 }, { 0.00000287868, 0.00000000000, 0.00000000000 }, @@ -763,10 +769,10 @@ const VSOP87Coefficient g_VSOP87B_L2_VENUS[] = { 0.00000000012, 6.06704683094, 25934.12433108940 }, { 0.00000000011, 3.73596829532, 4732.03062734340 }, { 0.00000000010, 5.50483756065, 29580.47470844380 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L3_VENUS[] = -{ +constexpr array g_VSOP87B_L3_VENUS +{ { { 0.00000136328, 4.79698723753, 10213.28554621100 }, { 0.00000030661, 3.71663788064, 20426.57109242200 }, { 0.00000003041, 3.14159265359, 0.00000000000 }, @@ -774,24 +780,24 @@ const VSOP87Coefficient g_VSOP87B_L3_VENUS[] = { 0.00000000071, 4.27707588774, 40853.14218484400 }, { 0.00000000008, 1.76653383282, 10186.98722641120 }, { 0.00000000006, 5.61707828538, 10239.58386601080 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L4_VENUS[] = -{ +constexpr array g_VSOP87B_L4_VENUS +{ { { 0.00000001636, 2.50540811485, 10213.28554621100 }, { 0.00000001080, 5.10106236574, 20426.57109242200 }, { 0.00000000018, 0.88315856739, 30639.85663863300 }, { 0.00000000005, 5.76650226003, 40853.14218484400 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_L5_VENUS[] = -{ +constexpr array g_VSOP87B_L5_VENUS +{ { { 0.00000000122, 1.88711724630, 10213.28554621100 }, { 0.00000000043, 0.42125909290, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B0_VENUS[] = -{ +constexpr array g_VSOP87B_B0_VENUS +{ { { 0.05923638472, 0.26702775812, 10213.28554621100 }, { 0.00040107978, 1.14737178112, 20426.57109242200 }, { 0.00032814918, 3.14159265359, 0.00000000000 }, @@ -1002,10 +1008,10 @@ const VSOP87Coefficient g_VSOP87B_B0_VENUS[] = { 0.00000000047, 1.61776744350, 30831.30490474460 }, { 0.00000000040, 5.32238959879, 42430.48572729180 }, { 0.00000000051, 5.29366964725, 29587.58825544460 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B1_VENUS[] = -{ +constexpr array g_VSOP87B_B1_VENUS +{ { { 0.00287821243, 1.88964962838, 10213.28554621100 }, { 0.00003499578, 3.71117560516, 20426.57109242200 }, { 0.00001257844, 0.00000000000, 0.00000000000 }, @@ -1127,10 +1133,10 @@ const VSOP87Coefficient g_VSOP87B_B1_VENUS[] = { 0.00000000020, 4.66182643911, 19889.76658032659 }, { 0.00000000020, 0.98405518609, 19999.97290154599 }, { 0.00000000023, 3.22003976882, 39264.06928956020 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B2_VENUS[] = -{ +constexpr array g_VSOP87B_B2_VENUS +{ { { 0.00012657745, 3.34796457029, 10213.28554621100 }, { 0.00000151225, 0.00000000000, 0.00000000000 }, { 0.00000037476, 5.34638962141, 20426.57109242200 }, @@ -1182,10 +1188,10 @@ const VSOP87Coefficient g_VSOP87B_B2_VENUS[] = { 0.00000000017, 2.48643394548, 3128.38876509580 }, { 0.00000000014, 6.20079529340, 191.44826611160 }, { 0.00000000015, 5.74322714868, 26.29831979980 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B3_VENUS[] = -{ +constexpr array g_VSOP87B_B3_VENUS +{ { { 0.00000376505, 4.87650249694, 10213.28554621100 }, { 0.00000012587, 3.14159265359, 0.00000000000 }, { 0.00000004809, 0.43423918018, 20426.57109242200 }, @@ -1198,26 +1204,26 @@ const VSOP87Coefficient g_VSOP87B_B3_VENUS[] = { 0.00000000014, 0.87652853636, 10988.80815753500 }, { 0.00000000010, 1.84595947891, 2352.86615377180 }, { 0.00000000005, 1.36825703657, 19651.04848109800 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B4_VENUS[] = -{ +constexpr array g_VSOP87B_B4_VENUS +{ { { 0.00000008558, 0.17181972054, 10213.28554621100 }, { 0.00000000114, 2.50366130090, 20426.57109242200 }, { 0.00000000115, 3.14159265359, 0.00000000000 }, { 0.00000000041, 0.74061432691, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_B5_VENUS[] = -{ +constexpr array g_VSOP87B_B5_VENUS +{ { { 0.00000000149, 1.67437168506, 10213.28554621100 }, { 0.00000000023, 0.00000000000, 0.00000000000 }, { 0.00000000008, 3.73924477319, 20426.57109242200 }, { 0.00000000002, 2.28783748701, 30639.85663863300 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R0_VENUS[] = -{ +constexpr array g_VSOP87B_R0_VENUS +{ { { 0.72334820891, 0.00000000000, 0.00000000000 }, { 0.00489824182, 4.02151831717, 10213.28554621100 }, { 0.00001658058, 4.90206728031, 20426.57109242200 }, @@ -1541,10 +1547,10 @@ const VSOP87Coefficient g_VSOP87B_R0_VENUS[] = { 0.00000000029, 6.16476830510, 65236.22129328540 }, { 0.00000000026, 5.36096904409, 1478.86657406440 }, { 0.00000000036, 1.29565084626, 90394.82301305079 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R1_VENUS[] = -{ +constexpr array g_VSOP87B_R1_VENUS +{ { { 0.00034551041, 0.89198706276, 10213.28554621100 }, { 0.00000234203, 1.77224942363, 20426.57109242200 }, { 0.00000233998, 3.14159265359, 0.00000000000 }, @@ -1719,10 +1725,10 @@ const VSOP87Coefficient g_VSOP87B_R1_VENUS[] = { 0.00000000014, 3.48144272414, 29786.66025688100 }, { 0.00000000018, 1.99790369768, 30831.30490474460 }, { 0.00000000017, 2.36905439219, 33794.54372352860 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R2_VENUS[] = -{ +constexpr array g_VSOP87B_R2_VENUS +{ { { 0.00001406587, 5.06366395112, 10213.28554621100 }, { 0.00000015529, 5.47321056992, 20426.57109242200 }, { 0.00000013059, 0.00000000000, 0.00000000000 }, @@ -1785,10 +1791,10 @@ const VSOP87Coefficient g_VSOP87B_R2_VENUS[] = { 0.00000000010, 2.50084772448, 9103.90699411760 }, { 0.00000000007, 3.48063149205, 1059.38193018920 }, { 0.00000000007, 2.38734958588, 20618.01935853360 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R3_VENUS[] = -{ +constexpr array g_VSOP87B_R3_VENUS +{ { { 0.00000049582, 3.22264415899, 10213.28554621100 }, { 0.00000000831, 3.21255590531, 20426.57109242200 }, { 0.00000000112, 3.14159265359, 0.00000000000 }, @@ -1797,81 +1803,80 @@ const VSOP87Coefficient g_VSOP87B_R3_VENUS[] = { 0.00000000006, 0.39133521368, 10186.98722641120 }, { 0.00000000004, 4.77456526708, 9437.76293488700 }, { 0.00000000003, 0.14604782945, 10988.80815753500 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R4_VENUS[] = -{ +constexpr array g_VSOP87B_R4_VENUS +{ { { 0.00000000573, 0.92253525592, 10213.28554621100 }, { 0.00000000039, 0.95696787303, 20426.57109242200 }, { 0.00000000006, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87B_R5_VENUS[] = -{ +constexpr array g_VSOP87B_R5_VENUS +{ { { 0.00000000045, 0.30037014808, 10213.28554621100 }, { 0.00000000002, 5.33215705373, 20426.57109242200 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87B_L_VENUS[] = -{ - { g_VSOP87B_L0_VENUS, sizeof(g_VSOP87B_L0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L1_VENUS, sizeof(g_VSOP87B_L1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L2_VENUS, sizeof(g_VSOP87B_L2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L3_VENUS, sizeof(g_VSOP87B_L3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L4_VENUS, sizeof(g_VSOP87B_L4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_L5_VENUS, sizeof(g_VSOP87B_L5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_L_VENUS +{ { + { g_VSOP87B_L0_VENUS.data(), g_VSOP87B_L0_VENUS.size() }, + { g_VSOP87B_L1_VENUS.data(), g_VSOP87B_L1_VENUS.size() }, + { g_VSOP87B_L2_VENUS.data(), g_VSOP87B_L2_VENUS.size() }, + { g_VSOP87B_L3_VENUS.data(), g_VSOP87B_L3_VENUS.size() }, + { g_VSOP87B_L4_VENUS.data(), g_VSOP87B_L4_VENUS.size() }, + { g_VSOP87B_L5_VENUS.data(), g_VSOP87B_L5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_B_VENUS[] = -{ - { g_VSOP87B_B0_VENUS, sizeof(g_VSOP87B_B0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B1_VENUS, sizeof(g_VSOP87B_B1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B2_VENUS, sizeof(g_VSOP87B_B2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B3_VENUS, sizeof(g_VSOP87B_B3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B4_VENUS, sizeof(g_VSOP87B_B4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_B5_VENUS, sizeof(g_VSOP87B_B5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_B_VENUS +{ { + { g_VSOP87B_B0_VENUS.data(), g_VSOP87B_B0_VENUS.size() }, + { g_VSOP87B_B1_VENUS.data(), g_VSOP87B_B1_VENUS.size() }, + { g_VSOP87B_B2_VENUS.data(), g_VSOP87B_B2_VENUS.size() }, + { g_VSOP87B_B3_VENUS.data(), g_VSOP87B_B3_VENUS.size() }, + { g_VSOP87B_B4_VENUS.data(), g_VSOP87B_B4_VENUS.size() }, + { g_VSOP87B_B5_VENUS.data(), g_VSOP87B_B5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87B_R_VENUS[] = -{ - { g_VSOP87B_R0_VENUS, sizeof(g_VSOP87B_R0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R1_VENUS, sizeof(g_VSOP87B_R1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R2_VENUS, sizeof(g_VSOP87B_R2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R3_VENUS, sizeof(g_VSOP87B_R3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R4_VENUS, sizeof(g_VSOP87B_R4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87B_R5_VENUS, sizeof(g_VSOP87B_R5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87B_R_VENUS +{ { + { g_VSOP87B_R0_VENUS.data(), g_VSOP87B_R0_VENUS.size() }, + { g_VSOP87B_R1_VENUS.data(), g_VSOP87B_R1_VENUS.size() }, + { g_VSOP87B_R2_VENUS.data(), g_VSOP87B_R2_VENUS.size() }, + { g_VSOP87B_R3_VENUS.data(), g_VSOP87B_R3_VENUS.size() }, + { g_VSOP87B_R4_VENUS.data(), g_VSOP87B_R4_VENUS.size() }, + { g_VSOP87B_R5_VENUS.data(), g_VSOP87B_R5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87B_Venus::L(double JD) +double CAAVSOP87B_Venus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_L_VENUS, sizeof(g_VSOP87B_L_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_L_VENUS.data(), g_VSOP87B_L_VENUS.size(), true); } -double CAAVSOP87B_Venus::L_DASH(double JD) +double CAAVSOP87B_Venus::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_L_VENUS, sizeof(g_VSOP87B_L_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_L_VENUS.data(), g_VSOP87B_L_VENUS.size()); } -double CAAVSOP87B_Venus::B(double JD) +double CAAVSOP87B_Venus::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_B_VENUS, sizeof(g_VSOP87B_B_VENUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87B_B_VENUS.data(), g_VSOP87B_B_VENUS.size(), true); } -double CAAVSOP87B_Venus::B_DASH(double JD) +double CAAVSOP87B_Venus::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_B_VENUS, sizeof(g_VSOP87B_B_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_B_VENUS.data(), g_VSOP87B_B_VENUS.size()); } -double CAAVSOP87B_Venus::R(double JD) +double CAAVSOP87B_Venus::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87B_R_VENUS, sizeof(g_VSOP87B_R_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87B_R_VENUS.data(), g_VSOP87B_R_VENUS.size(), false); } -double CAAVSOP87B_Venus::R_DASH(double JD) +double CAAVSOP87B_Venus::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87B_R_VENUS, sizeof(g_VSOP87B_R_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87B_R_VENUS.data(), g_VSOP87B_R_VENUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87B_VEN.h b/Sources/AAPlus/include/AAVSOP87B_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87B_VEN.h rename to Sources/AAPlus/include/AAVSOP87B_VEN.h index cf44f19..f1ca658 --- a/Vendor/AA+/1.6.3/AAVSOP87B_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87B_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87B_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87B_Venus { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_EAR.h b/Sources/AAPlus/include/AAVSOP87C_EAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_EAR.h rename to Sources/AAPlus/include/AAVSOP87C_EAR.h index 175618d..9fbd9c3 --- a/Vendor/AA+/1.6.3/AAVSOP87C_EAR.h +++ b/Sources/AAPlus/include/AAVSOP87C_EAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_EAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Earth { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_JUP.h b/Sources/AAPlus/include/AAVSOP87C_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_JUP.h rename to Sources/AAPlus/include/AAVSOP87C_JUP.h index c44587b..131d626 --- a/Vendor/AA+/1.6.3/AAVSOP87C_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87C_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Jupiter { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_MAR.h b/Sources/AAPlus/include/AAVSOP87C_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_MAR.h rename to Sources/AAPlus/include/AAVSOP87C_MAR.h index c4f8bb6..8cf564e --- a/Vendor/AA+/1.6.3/AAVSOP87C_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87C_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Mars { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_MER.h b/Sources/AAPlus/include/AAVSOP87C_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_MER.h rename to Sources/AAPlus/include/AAVSOP87C_MER.h index 5c014fe..4d2bb7e --- a/Vendor/AA+/1.6.3/AAVSOP87C_MER.h +++ b/Sources/AAPlus/include/AAVSOP87C_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Mercury { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_NEP.h b/Sources/AAPlus/include/AAVSOP87C_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_NEP.h rename to Sources/AAPlus/include/AAVSOP87C_NEP.h index 37901e8..ecac07f --- a/Vendor/AA+/1.6.3/AAVSOP87C_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87C_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Neptune { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_SAT.h b/Sources/AAPlus/include/AAVSOP87C_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_SAT.h rename to Sources/AAPlus/include/AAVSOP87C_SAT.h index 16ff55b..42fef33 --- a/Vendor/AA+/1.6.3/AAVSOP87C_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87C_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Saturn { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_URA.h b/Sources/AAPlus/include/AAVSOP87C_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_URA.h rename to Sources/AAPlus/include/AAVSOP87C_URA.h index 8a723a7..ff6df30 --- a/Vendor/AA+/1.6.3/AAVSOP87C_URA.h +++ b/Sources/AAPlus/include/AAVSOP87C_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Uranus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87C_VEN.h b/Sources/AAPlus/include/AAVSOP87C_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87C_VEN.h rename to Sources/AAPlus/include/AAVSOP87C_VEN.h index 77b5506..48d45e4 --- a/Vendor/AA+/1.6.3/AAVSOP87C_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87C_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87C_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87C_Venus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_EAR.h b/Sources/AAPlus/include/AAVSOP87D_EAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_EAR.h rename to Sources/AAPlus/include/AAVSOP87D_EAR.h index 2a5c3ee..cd6c1a2 --- a/Vendor/AA+/1.6.3/AAVSOP87D_EAR.h +++ b/Sources/AAPlus/include/AAVSOP87D_EAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_EAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Earth { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_JUP.h b/Sources/AAPlus/include/AAVSOP87D_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_JUP.h rename to Sources/AAPlus/include/AAVSOP87D_JUP.h index 3ec2252..67c138b --- a/Vendor/AA+/1.6.3/AAVSOP87D_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87D_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Jupiter { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_MAR.cpp b/Sources/AAPlus/include/AAVSOP87D_MAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87D_MAR.cpp rename to Sources/AAPlus/include/AAVSOP87D_MAR.cpp index 78593c8..fe1f0b2 --- a/Vendor/AA+/1.6.3/AAVSOP87D_MAR.cpp +++ b/Sources/AAPlus/include/AAVSOP87D_MAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87D_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87D_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87D_L0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87D_L0_MARS +{ { { 6.20347711583, 0.00000000000, 0.00000000000 }, { 0.18656368100, 5.05037100303, 3340.61242669980 }, { 0.01108216792, 5.40099836958, 6681.22485339960 }, @@ -1249,10 +1255,10 @@ const VSOP87Coefficient g_VSOP87D_L0_MARS[] = { 0.00000000044, 3.01299253859, 7417.10136693140 }, { 0.00000000045, 2.33470159894, 3123.79021291280 }, { 0.00000000039, 4.91767933978, 8034.61538140740 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L1_MARS[] = -{ +constexpr array g_VSOP87D_L1_MARS +{ { { 3340.85627474342, 0.00000000000, 0.00000000000 }, { 0.01458227051, 3.60426053609, 3340.61242669980 }, { 0.00164901343, 3.92631250962, 6681.22485339960 }, @@ -1939,10 +1945,10 @@ const VSOP87Coefficient g_VSOP87D_L1_MARS[] = { 0.00000000031, 1.72899093511, 13745.34623902240 }, { 0.00000000024, 0.20355912395, 3229.42578441220 }, { 0.00000000032, 3.37195631109, 2284.75361485960 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L2_MARS[] = -{ +constexpr array g_VSOP87D_L2_MARS +{ { { 0.00058015791, 2.04979463279, 3340.61242669980 }, { 0.00054187645, 0.00000000000, 0.00000000000 }, { 0.00013908426, 2.45742359888, 6681.22485339960 }, @@ -2253,10 +2259,10 @@ const VSOP87Coefficient g_VSOP87D_L2_MARS[] = { 0.00000000017, 0.03684125273, 3877.41693879520 }, { 0.00000000017, 2.84467149903, 3344.49376205780 }, { 0.00000000020, 5.41519706836, 3205.54734666440 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L3_MARS[] = -{ +constexpr array g_VSOP87D_L3_MARS +{ { { 0.00001482423, 0.44434694876, 3340.61242669980 }, { 0.00000662095, 0.88469178686, 6681.22485339960 }, { 0.00000188268, 1.28799982497, 10021.83728009940 }, @@ -2386,10 +2392,10 @@ const VSOP87Coefficient g_VSOP87D_L3_MARS[] = { 0.00000000013, 1.38424462832, 3340.67973700260 }, { 0.00000000012, 3.28248484262, 8671.96987044060 }, { 0.00000000014, 0.23027665815, 3767.21061757580 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L4_MARS[] = -{ +constexpr array g_VSOP87D_L4_MARS +{ { { 0.00000113969, 3.14159265359, 0.00000000000 }, { 0.00000028725, 5.63662412043, 6681.22485339960 }, { 0.00000024447, 5.13868481454, 3340.61242669980 }, @@ -2426,10 +2432,10 @@ const VSOP87Coefficient g_VSOP87D_L4_MARS[] = { 0.00000000011, 1.33261955275, 2281.23049651060 }, { 0.00000000009, 6.15390464542, 6489.77658728800 }, { 0.00000000007, 4.23894194106, 4535.05943692440 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_L5_MARS[] = -{ +constexpr array g_VSOP87D_L5_MARS +{ { { 0.00000000710, 4.04089996521, 6681.22485339960 }, { 0.00000000868, 3.14159265359, 0.00000000000 }, { 0.00000000510, 4.49214901625, 10021.83728009940 }, @@ -2445,10 +2451,10 @@ const VSOP87Coefficient g_VSOP87D_L5_MARS[] = { 0.00000000019, 5.59184714460, 20043.67456019880 }, { 0.00000000014, 5.95565787085, 23384.28698689860 }, { 0.00000000012, 1.93859256739, 6525.80445396540 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B0_MARS[] = -{ +constexpr array g_VSOP87D_B0_MARS +{ { { 0.03197134986, 3.76832042432, 3340.61242669980 }, { 0.00298033234, 4.10616996243, 6681.22485339960 }, { 0.00289104742, 0.00000000000, 0.00000000000 }, @@ -2890,10 +2896,10 @@ const VSOP87Coefficient g_VSOP87D_B0_MARS[] = { 0.00000000038, 6.06684699984, 9389.05354078620 }, { 0.00000000043, 0.51983815091, 16489.76303806100 }, { 0.00000000036, 0.84102576439, 23937.85638974100 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B1_MARS[] = -{ +constexpr array g_VSOP87D_B1_MARS +{ { { 0.00350068845, 5.36847836211, 3340.61242669980 }, { 0.00014116030, 3.14159265359, 0.00000000000 }, { 0.00009670755, 5.47877786506, 6681.22485339960 }, @@ -3181,10 +3187,10 @@ const VSOP87Coefficient g_VSOP87D_B1_MARS[] = { 0.00000000023, 6.09244870438, 20199.09495963300 }, { 0.00000000028, 1.30366587075, 8439.87793181640 }, { 0.00000000032, 2.13597148493, 9468.26787725700 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B2_MARS[] = -{ +constexpr array g_VSOP87D_B2_MARS +{ { { 0.00016726690, 0.60221392419, 3340.61242669980 }, { 0.00004986799, 3.14159265359, 0.00000000000 }, { 0.00000302141, 5.55871276021, 6681.22485339960 }, @@ -3315,10 +3321,10 @@ const VSOP87Coefficient g_VSOP87D_B2_MARS[] = { 0.00000000017, 0.86184324841, 10973.55568635000 }, { 0.00000000018, 6.22706341047, 9381.93999378540 }, { 0.00000000015, 0.54135050421, 640.87760738220 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B3_MARS[] = -{ +constexpr array g_VSOP87D_B3_MARS +{ { { 0.00000606506, 1.98050633529, 3340.61242669980 }, { 0.00000042611, 0.00000000000, 0.00000000000 }, { 0.00000013652, 1.79588228800, 6681.22485339960 }, @@ -3360,10 +3366,10 @@ const VSOP87Coefficient g_VSOP87D_B3_MARS[] = { 0.00000000017, 0.80891817293, 1194.44701022460 }, { 0.00000000011, 0.43817745316, 1059.38193018920 }, { 0.00000000014, 1.06654064248, 6836.64525283380 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B4_MARS[] = -{ +constexpr array g_VSOP87D_B4_MARS +{ { { 0.00000011334, 3.45724352586, 3340.61242669980 }, { 0.00000013369, 0.00000000000, 0.00000000000 }, { 0.00000000744, 0.50445805257, 6681.22485339960 }, @@ -3375,19 +3381,19 @@ const VSOP87Coefficient g_VSOP87D_B4_MARS[] = { 0.00000000013, 5.41704779112, 16703.06213349900 }, { 0.00000000013, 2.06957065662, 13362.44970679920 }, { 0.00000000010, 0.95989595600, 3894.18182954220 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_B5_MARS[] = -{ +constexpr array g_VSOP87D_B5_MARS +{ { { 0.00000000457, 4.86794125358, 3340.61242669980 }, { 0.00000000053, 5.30547050586, 6681.22485339960 }, { 0.00000000012, 5.75114070583, 10021.83728009940 }, { 0.00000000013, 4.17736925293, 3496.03282613400 }, { 0.00000000007, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R0_MARS[] = -{ +constexpr array g_VSOP87D_R0_MARS +{ { { 1.53033488276, 0.00000000000, 0.00000000000 }, { 0.14184953153, 3.47971283519, 3340.61242669980 }, { 0.00660776357, 3.81783442097, 6681.22485339960 }, @@ -4506,10 +4512,10 @@ const VSOP87Coefficient g_VSOP87D_R0_MARS[] = { 0.00000000054, 0.38782719267, 360.11078196160 }, { 0.00000000059, 4.71734799803, 6283.09310364360 }, { 0.00000000068, 5.74655335863, 987.74627292800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R1_MARS[] = -{ +constexpr array g_VSOP87D_R1_MARS +{ { { 0.01107433340, 2.03250524950, 3340.61242669980 }, { 0.00103175886, 2.37071845682, 6681.22485339960 }, { 0.00012877200, 0.00000000000, 0.00000000000 }, @@ -5106,10 +5112,10 @@ const VSOP87Coefficient g_VSOP87D_R1_MARS[] = { 0.00000000035, 0.10555289345, 8742.04270747140 }, { 0.00000000041, 4.26832466355, 21000.91589075680 }, { 0.00000000038, 0.73199792046, 26084.02180621620 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R2_MARS[] = -{ +constexpr array g_VSOP87D_R2_MARS +{ { { 0.00044242247, 0.47930603943, 3340.61242669980 }, { 0.00008138042, 0.86998398093, 6681.22485339960 }, { 0.00001274915, 1.22594050809, 10021.83728009940 }, @@ -5423,10 +5429,10 @@ const VSOP87Coefficient g_VSOP87D_R2_MARS[] = { 0.00000000024, 4.12573657295, 4193.80880845180 }, { 0.00000000025, 1.40880282063, 8186.51266249260 }, { 0.00000000024, 4.96463811748, 26087.90314157420 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R3_MARS[] = -{ +constexpr array g_VSOP87D_R3_MARS +{ { { 0.00001113107, 5.14987350142, 3340.61242669980 }, { 0.00000424446, 5.61343766478, 6681.22485339960 }, { 0.00000100044, 5.99726827028, 10021.83728009940 }, @@ -5538,10 +5544,10 @@ const VSOP87Coefficient g_VSOP87D_R3_MARS[] = { 0.00000000024, 4.42156401638, 1748.01641306700 }, { 0.00000000016, 0.65389503440, 3340.54511639700 }, { 0.00000000016, 5.28427106012, 3333.49887969900 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R4_MARS[] = -{ +constexpr array g_VSOP87D_R4_MARS +{ { { 0.00000019552, 3.58211650473, 3340.61242669980 }, { 0.00000016323, 4.05116076923, 6681.22485339960 }, { 0.00000005848, 4.46383962094, 10021.83728009940 }, @@ -5570,10 +5576,10 @@ const VSOP87Coefficient g_VSOP87D_R4_MARS[] = { 0.00000000013, 4.51988349676, 6489.77658728800 }, { 0.00000000014, 0.76591550754, 3894.18182954220 }, { 0.00000000011, 5.47381242145, 3738.76143010800 } -}; +} }; -const VSOP87Coefficient g_VSOP87D_R5_MARS[] = -{ +constexpr array g_VSOP87D_R5_MARS +{ { { 0.00000000476, 2.47617204701, 6681.22485339960 }, { 0.00000000268, 2.91510547706, 10021.83728009940 }, { 0.00000000115, 1.76888962311, 3340.61242669980 }, @@ -5583,68 +5589,67 @@ const VSOP87Coefficient g_VSOP87D_R5_MARS[] = { 0.00000000013, 3.72005807206, 3496.03282613400 }, { 0.00000000012, 4.88179002689, 3583.34103067380 }, { 0.00000000012, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87D_L_MARS[] = -{ - { g_VSOP87D_L0_MARS, sizeof(g_VSOP87D_L0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L1_MARS, sizeof(g_VSOP87D_L1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L2_MARS, sizeof(g_VSOP87D_L2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L3_MARS, sizeof(g_VSOP87D_L3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L4_MARS, sizeof(g_VSOP87D_L4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_L5_MARS, sizeof(g_VSOP87D_L5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_L_MARS +{ { + { g_VSOP87D_L0_MARS.data(), g_VSOP87D_L0_MARS.size() }, + { g_VSOP87D_L1_MARS.data(), g_VSOP87D_L1_MARS.size() }, + { g_VSOP87D_L2_MARS.data(), g_VSOP87D_L2_MARS.size() }, + { g_VSOP87D_L3_MARS.data(), g_VSOP87D_L3_MARS.size() }, + { g_VSOP87D_L4_MARS.data(), g_VSOP87D_L4_MARS.size() }, + { g_VSOP87D_L5_MARS.data(), g_VSOP87D_L5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_B_MARS[] = -{ - { g_VSOP87D_B0_MARS, sizeof(g_VSOP87D_B0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B1_MARS, sizeof(g_VSOP87D_B1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B2_MARS, sizeof(g_VSOP87D_B2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B3_MARS, sizeof(g_VSOP87D_B3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B4_MARS, sizeof(g_VSOP87D_B4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_B5_MARS, sizeof(g_VSOP87D_B5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_B_MARS +{ { + { g_VSOP87D_B0_MARS.data(), g_VSOP87D_B0_MARS.size() }, + { g_VSOP87D_B1_MARS.data(), g_VSOP87D_B1_MARS.size() }, + { g_VSOP87D_B2_MARS.data(), g_VSOP87D_B2_MARS.size() }, + { g_VSOP87D_B3_MARS.data(), g_VSOP87D_B3_MARS.size() }, + { g_VSOP87D_B4_MARS.data(), g_VSOP87D_B4_MARS.size() }, + { g_VSOP87D_B5_MARS.data(), g_VSOP87D_B5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87D_R_MARS[] = -{ - { g_VSOP87D_R0_MARS, sizeof(g_VSOP87D_R0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R1_MARS, sizeof(g_VSOP87D_R1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R2_MARS, sizeof(g_VSOP87D_R2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R3_MARS, sizeof(g_VSOP87D_R3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R4_MARS, sizeof(g_VSOP87D_R4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87D_R5_MARS, sizeof(g_VSOP87D_R5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87D_R_MARS +{ { + { g_VSOP87D_R0_MARS.data(), g_VSOP87D_R0_MARS.size() }, + { g_VSOP87D_R1_MARS.data(), g_VSOP87D_R1_MARS.size() }, + { g_VSOP87D_R2_MARS.data(), g_VSOP87D_R2_MARS.size() }, + { g_VSOP87D_R3_MARS.data(), g_VSOP87D_R3_MARS.size() }, + { g_VSOP87D_R4_MARS.data(), g_VSOP87D_R4_MARS.size() }, + { g_VSOP87D_R5_MARS.data(), g_VSOP87D_R5_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87D_Mars::L(double JD) +double CAAVSOP87D_Mars::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_L_MARS, sizeof(g_VSOP87D_L_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_L_MARS.data(), g_VSOP87D_L_MARS.size(), true); } -double CAAVSOP87D_Mars::L_DASH(double JD) +double CAAVSOP87D_Mars::L_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_L_MARS, sizeof(g_VSOP87D_L_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_L_MARS.data(), g_VSOP87D_L_MARS.size()); } -double CAAVSOP87D_Mars::B(double JD) +double CAAVSOP87D_Mars::B(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_B_MARS, sizeof(g_VSOP87D_B_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87D_B_MARS.data(), g_VSOP87D_B_MARS.size(), true); } -double CAAVSOP87D_Mars::B_DASH(double JD) +double CAAVSOP87D_Mars::B_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_B_MARS, sizeof(g_VSOP87D_B_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_B_MARS.data(), g_VSOP87D_B_MARS.size()); } -double CAAVSOP87D_Mars::R(double JD) +double CAAVSOP87D_Mars::R(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87D_R_MARS, sizeof(g_VSOP87D_R_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87D_R_MARS.data(), g_VSOP87D_R_MARS.size(), false); } -double CAAVSOP87D_Mars::R_DASH(double JD) +double CAAVSOP87D_Mars::R_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87D_R_MARS, sizeof(g_VSOP87D_R_MARS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87D_R_MARS.data(), g_VSOP87D_R_MARS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_MAR.h b/Sources/AAPlus/include/AAVSOP87D_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_MAR.h rename to Sources/AAPlus/include/AAVSOP87D_MAR.h index 9eeb8b9..43d7237 --- a/Vendor/AA+/1.6.3/AAVSOP87D_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87D_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Mars { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_MER.h b/Sources/AAPlus/include/AAVSOP87D_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_MER.h rename to Sources/AAPlus/include/AAVSOP87D_MER.h index 59d3c2f..ef08140 --- a/Vendor/AA+/1.6.3/AAVSOP87D_MER.h +++ b/Sources/AAPlus/include/AAVSOP87D_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Mercury { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_NEP.h b/Sources/AAPlus/include/AAVSOP87D_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_NEP.h rename to Sources/AAPlus/include/AAVSOP87D_NEP.h index cac7222..372eb70 --- a/Vendor/AA+/1.6.3/AAVSOP87D_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87D_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Neptune { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_SAT.h b/Sources/AAPlus/include/AAVSOP87D_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_SAT.h rename to Sources/AAPlus/include/AAVSOP87D_SAT.h index ab27093..2343dc8 --- a/Vendor/AA+/1.6.3/AAVSOP87D_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87D_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Saturn { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_URA.h b/Sources/AAPlus/include/AAVSOP87D_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_URA.h rename to Sources/AAPlus/include/AAVSOP87D_URA.h index 20bb6e1..0d7393d --- a/Vendor/AA+/1.6.3/AAVSOP87D_URA.h +++ b/Sources/AAPlus/include/AAVSOP87D_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Uranus { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87D_VEN.h b/Sources/AAPlus/include/AAVSOP87D_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87D_VEN.h rename to Sources/AAPlus/include/AAVSOP87D_VEN.h index 50c2fef..713dc01 --- a/Vendor/AA+/1.6.3/AAVSOP87D_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87D_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87D_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87D_Venus { public: - static double L(double JD); - static double L_DASH(double JD); - static double B(double JD); - static double B_DASH(double JD); - static double R(double JD); - static double R_DASH(double JD); + static double L(double JD) noexcept; + static double L_DASH(double JD) noexcept; + static double B(double JD) noexcept; + static double B_DASH(double JD) noexcept; + static double R(double JD) noexcept; + static double R_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_EAR.cpp b/Sources/AAPlus/include/AAVSOP87E_EAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_EAR.cpp rename to Sources/AAPlus/include/AAVSOP87E_EAR.cpp index 602f8f1..77590a8 --- a/Vendor/AA+/1.6.3/AAVSOP87E_EAR.cpp +++ b/Sources/AAPlus/include/AAVSOP87E_EAR.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_EAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_EAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_EARTH[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_EARTH +{ { { 0.99982624851, 1.75348568475, 6283.07584999140 }, { 0.00835254761, 1.71034539458, 12566.15169998280 }, { 0.00590518455, 0.00000000000, 0.00000000000 }, @@ -1231,10 +1237,10 @@ const VSOP87Coefficient g_VSOP87E_X0_EARTH[] = { 0.00000000040, 0.92098132614, 1059.33374607940 }, { 0.00000000050, 1.62788844152, 84334.41776382479 }, { 0.00000000040, 0.78396796338, 71980.63357473118 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_EARTH[] = -{ +constexpr array g_VSOP87E_X1_EARTH +{ { { 0.00122106982, 0.00000000000, 0.00000000000 }, { 0.00051500000, 6.00266267204, 12566.15169998280 }, { 0.00001290723, 5.95943124583, 18849.22754997420 }, @@ -1933,10 +1939,10 @@ const VSOP87Coefficient g_VSOP87E_X1_EARTH[] = { 0.00000000019, 4.29574440213, 84019.85928049390 }, { 0.00000000020, 2.85390720284, 9070.11887384880 }, { 0.00000000021, 1.17914689008, 344.70304530790 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_EARTH[] = -{ +constexpr array g_VSOP87E_X2_EARTH +{ { { 0.00004098432, 3.14159265359, 0.00000000000 }, { 0.00002175689, 4.39999849572, 12566.15169998280 }, { 0.00000995233, 0.20790847155, 6283.07584999140 }, @@ -2286,10 +2292,10 @@ const VSOP87Coefficient g_VSOP87E_X2_EARTH[] = { 0.00000000011, 0.39656469738, 25158.60171976540 }, { 0.00000000012, 2.66109784913, 148.07872442630 }, { 0.00000000009, 2.44042399381, 153.49535039770 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_EARTH[] = -{ +constexpr array g_VSOP87E_X3_EARTH +{ { { 0.00000173206, 3.14159265359, 0.00000000000 }, { 0.00000072337, 2.89303952476, 12566.15169998280 }, { 0.00000022035, 6.11822426048, 206.18554843720 }, @@ -2402,10 +2408,10 @@ const VSOP87Coefficient g_VSOP87E_X3_EARTH[] = { 0.00000000006, 3.39896707822, 2125.87740737920 }, { 0.00000000005, 2.18119549382, 145.63104387150 }, { 0.00000000007, 0.58812910406, 38.13303563780 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_EARTH[] = -{ +constexpr array g_VSOP87E_X4_EARTH +{ { { 0.00000003932, 0.00000000000, 0.00000000000 }, { 0.00000002272, 1.56364838180, 206.18554843720 }, { 0.00000002236, 3.28143366276, 220.41264243880 }, @@ -2473,10 +2479,10 @@ const VSOP87Coefficient g_VSOP87E_X4_EARTH[] = { 0.00000000002, 5.71553727369, 1169.58825140860 }, { 0.00000000003, 2.34507379864, 191.95845443560 }, { 0.00000000002, 3.94362184472, 1155.36115740700 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_EARTH[] = -{ +constexpr array g_VSOP87E_X5_EARTH +{ { { 0.00000000168, 3.28069809842, 206.18554843720 }, { 0.00000000167, 1.52399958265, 220.41264243880 }, { 0.00000000126, 0.07122523863, 522.57741809380 }, @@ -2506,10 +2512,10 @@ const VSOP87Coefficient g_VSOP87E_X5_EARTH[] = { 0.00000000002, 6.21263006019, 1045.15483618760 }, { 0.00000000001, 1.31653362066, 88.86568021700 }, { 0.00000000001, 5.40855784676, 405.25754987360 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_EARTH[] = -{ +constexpr array g_VSOP87E_Y0_EARTH +{ { { 0.99988907017, 0.18265890456, 6283.07584999140 }, { 0.02408829501, 3.14159265359, 0.00000000000 }, { 0.00835289774, 0.13952879005, 12566.15169998280 }, @@ -3722,10 +3728,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_EARTH[] = { 0.00000000040, 5.63337030653, 1059.33374607940 }, { 0.00000000046, 3.45581538922, 12146.66705610760 }, { 0.00000000050, 0.05709243771, 84334.41776382479 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_EARTH[] = -{ +constexpr array g_VSOP87E_Y1_EARTH +{ { { 0.00093052441, 0.00000000000, 0.00000000000 }, { 0.00051506453, 4.43180499286, 12566.15169998280 }, { 0.00001290796, 4.38860548540, 18849.22754997420 }, @@ -4436,10 +4442,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_EARTH[] = { 0.00000000020, 1.28313240949, 9070.11887384880 }, { 0.00000000021, 5.89651875201, 344.70304530790 }, { 0.00000000018, 0.41312927370, 479.28838891550 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_EARTH[] = -{ +constexpr array g_VSOP87E_Y2_EARTH +{ { { 0.00005024394, 0.00000000000, 0.00000000000 }, { 0.00002178009, 2.82957544235, 12566.15169998280 }, { 0.00001020487, 4.63746718598, 6283.07584999140 }, @@ -4785,10 +4791,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_EARTH[] = { 0.00000000012, 1.08976567704, 148.07872442630 }, { 0.00000000009, 2.89659186256, 23581.25817731760 }, { 0.00000000009, 0.86970882362, 153.49535039770 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_EARTH[] = -{ +constexpr array g_VSOP87E_Y3_EARTH +{ { { 0.00000125477, 3.14159265359, 0.00000000000 }, { 0.00000072366, 1.32019314413, 12566.15169998280 }, { 0.00000022088, 4.54598360855, 206.18554843720 }, @@ -4900,10 +4906,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_EARTH[] = { 0.00000000006, 1.82818120946, 2125.87740737920 }, { 0.00000000005, 0.60506372351, 145.63104387150 }, { 0.00000000007, 5.32328426995, 38.13303563780 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_EARTH[] = -{ +constexpr array g_VSOP87E_Y4_EARTH +{ { { 0.00000004122, 3.14159265359, 0.00000000000 }, { 0.00000002278, 6.27388903010, 206.18554843720 }, { 0.00000002245, 1.70782913671, 220.41264243880 }, @@ -4972,10 +4978,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_EARTH[] = { 0.00000000002, 4.14482411178, 1169.58825140860 }, { 0.00000000003, 0.15041780827, 323.50541665740 }, { 0.00000000002, 2.35344419082, 1155.36115740700 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_EARTH[] = -{ +constexpr array g_VSOP87E_Y5_EARTH +{ { { 0.00000000168, 1.70751121627, 206.18554843720 }, { 0.00000000168, 6.23113008656, 220.41264243880 }, { 0.00000000126, 4.78360062168, 522.57741809380 }, @@ -5005,10 +5011,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_EARTH[] = { 0.00000000002, 4.64180795349, 1045.15483618760 }, { 0.00000000001, 3.09946039705, 88.86568021700 }, { 0.00000000001, 0.32868254087, 7.11354700080 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_EARTH[] = -{ +constexpr array g_VSOP87E_Z0_EARTH +{ { { 0.00011810174, 0.46078312048, 213.29909543800 }, { 0.00011270511, 0.41685732455, 529.69096509460 }, { 0.00004802048, 4.58264723370, 38.13303563780 }, @@ -5284,10 +5290,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_EARTH[] = { 0.00000000039, 3.63042667673, 213.34727954780 }, { 0.00000000038, 0.54320017724, 299.12639426920 }, { 0.00000000039, 5.79384191199, 380.12776796000 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_EARTH[] = -{ +constexpr array g_VSOP87E_Z1_EARTH +{ { { 0.00227821750, 3.41372504278, 6283.07584999140 }, { 0.00005562680, 0.00000000000, 0.00000000000 }, { 0.00001903177, 3.37061270964, 12566.15169998280 }, @@ -5474,10 +5480,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_EARTH[] = { 0.00000000024, 0.09566124749, 277.03499374140 }, { 0.00000000019, 1.46315634551, 215.74677599280 }, { 0.00000000018, 6.15872883408, 942.06206196900 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_EARTH[] = -{ +constexpr array g_VSOP87E_Z2_EARTH +{ { { 0.00009721959, 5.15233725915, 6283.07584999140 }, { 0.00000351179, 3.14159265359, 0.00000000000 }, { 0.00000067136, 0.64403888586, 12566.15169998280 }, @@ -5574,10 +5580,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_EARTH[] = { 0.00000000012, 3.07376705363, 1045.15483618760 }, { 0.00000000011, 0.01879438470, 309.27832265580 }, { 0.00000000010, 4.70919553736, 533.62311835770 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_EARTH[] = -{ +constexpr array g_VSOP87E_Z3_EARTH +{ { { 0.00000276077, 0.59413258730, 6283.07584999140 }, { 0.00000026789, 3.14159265359, 0.00000000000 }, { 0.00000001810, 0.11612262117, 12566.15169998280 }, @@ -5618,10 +5624,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_EARTH[] = { 0.00000000008, 0.88032790118, 216.48048917570 }, { 0.00000000006, 6.21088176821, 38.13303563780 }, { 0.00000000007, 3.28974856542, 103.09277421860 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_EARTH[] = -{ +constexpr array g_VSOP87E_Z4_EARTH +{ { { 0.00000005751, 2.27069090892, 6283.07584999140 }, { 0.00000001315, 0.00000000000, 0.00000000000 }, { 0.00000000164, 4.10546661445, 206.18554843720 }, @@ -5644,10 +5650,10 @@ const VSOP87Coefficient g_VSOP87E_Z4_EARTH[] = { 0.00000000003, 0.96348403857, 7.11354700080 }, { 0.00000000003, 0.80949781331, 14.22709400160 }, { 0.00000000003, 3.63118822382, 1066.49547719000 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_EARTH[] = -{ +constexpr array g_VSOP87E_Z5_EARTH +{ { { 0.00000000114, 4.31169156923, 6283.07584999140 }, { 0.00000000039, 0.00000000000, 0.00000000000 }, { 0.00000000015, 5.75563126750, 206.18554843720 }, @@ -5656,68 +5662,67 @@ const VSOP87Coefficient g_VSOP87E_Z5_EARTH[] = { 0.00000000002, 3.96773929080, 522.57741809380 }, { 0.00000000002, 4.22112932205, 227.52618943960 }, { 0.00000000002, 6.02426931559, 199.07200143640 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_EARTH[] = -{ - { g_VSOP87E_X0_EARTH, sizeof(g_VSOP87E_X0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_EARTH, sizeof(g_VSOP87E_X1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_EARTH, sizeof(g_VSOP87E_X2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_EARTH, sizeof(g_VSOP87E_X3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_EARTH, sizeof(g_VSOP87E_X4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_EARTH, sizeof(g_VSOP87E_X5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_EARTH +{ { + { g_VSOP87E_X0_EARTH.data(), g_VSOP87E_X0_EARTH.size() }, + { g_VSOP87E_X1_EARTH.data(), g_VSOP87E_X1_EARTH.size() }, + { g_VSOP87E_X2_EARTH.data(), g_VSOP87E_X2_EARTH.size() }, + { g_VSOP87E_X3_EARTH.data(), g_VSOP87E_X3_EARTH.size() }, + { g_VSOP87E_X4_EARTH.data(), g_VSOP87E_X4_EARTH.size() }, + { g_VSOP87E_X5_EARTH.data(), g_VSOP87E_X5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_EARTH[] = -{ - { g_VSOP87E_Y0_EARTH, sizeof(g_VSOP87E_Y0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_EARTH, sizeof(g_VSOP87E_Y1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_EARTH, sizeof(g_VSOP87E_Y2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_EARTH, sizeof(g_VSOP87E_Y3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_EARTH, sizeof(g_VSOP87E_Y4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_EARTH, sizeof(g_VSOP87E_Y5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_EARTH +{ { + { g_VSOP87E_Y0_EARTH.data(), g_VSOP87E_Y0_EARTH.size() }, + { g_VSOP87E_Y1_EARTH.data(), g_VSOP87E_Y1_EARTH.size() }, + { g_VSOP87E_Y2_EARTH.data(), g_VSOP87E_Y2_EARTH.size() }, + { g_VSOP87E_Y3_EARTH.data(), g_VSOP87E_Y3_EARTH.size() }, + { g_VSOP87E_Y4_EARTH.data(), g_VSOP87E_Y4_EARTH.size() }, + { g_VSOP87E_Y5_EARTH.data(), g_VSOP87E_Y5_EARTH.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_EARTH[] = -{ - { g_VSOP87E_Z0_EARTH, sizeof(g_VSOP87E_Z0_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_EARTH, sizeof(g_VSOP87E_Z1_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_EARTH, sizeof(g_VSOP87E_Z2_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_EARTH, sizeof(g_VSOP87E_Z3_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_EARTH, sizeof(g_VSOP87E_Z4_EARTH)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_EARTH, sizeof(g_VSOP87E_Z5_EARTH)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_EARTH +{ { + { g_VSOP87E_Z0_EARTH.data(), g_VSOP87E_Z0_EARTH.size() }, + { g_VSOP87E_Z1_EARTH.data(), g_VSOP87E_Z1_EARTH.size() }, + { g_VSOP87E_Z2_EARTH.data(), g_VSOP87E_Z2_EARTH.size() }, + { g_VSOP87E_Z3_EARTH.data(), g_VSOP87E_Z3_EARTH.size() }, + { g_VSOP87E_Z4_EARTH.data(), g_VSOP87E_Z4_EARTH.size() }, + { g_VSOP87E_Z5_EARTH.data(), g_VSOP87E_Z5_EARTH.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Earth::X(double JD) +double CAAVSOP87E_Earth::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_EARTH, sizeof(g_VSOP87E_X_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_EARTH.data(), g_VSOP87E_X_EARTH.size(), false); } -double CAAVSOP87E_Earth::X_DASH(double JD) +double CAAVSOP87E_Earth::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_EARTH, sizeof(g_VSOP87E_X_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_EARTH.data(), g_VSOP87E_X_EARTH.size()); } -double CAAVSOP87E_Earth::Y(double JD) +double CAAVSOP87E_Earth::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_EARTH, sizeof(g_VSOP87E_Y_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_EARTH.data(), g_VSOP87E_Y_EARTH.size(), false); } -double CAAVSOP87E_Earth::Y_DASH(double JD) +double CAAVSOP87E_Earth::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_EARTH, sizeof(g_VSOP87E_Y_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_EARTH.data(), g_VSOP87E_Y_EARTH.size()); } -double CAAVSOP87E_Earth::Z(double JD) +double CAAVSOP87E_Earth::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_EARTH, sizeof(g_VSOP87E_Z_EARTH)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_EARTH.data(), g_VSOP87E_Z_EARTH.size(), false); } -double CAAVSOP87E_Earth::Z_DASH(double JD) +double CAAVSOP87E_Earth::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_EARTH, sizeof(g_VSOP87E_Z_EARTH)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_EARTH.data(), g_VSOP87E_Z_EARTH.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_EAR.h b/Sources/AAPlus/include/AAVSOP87E_EAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_EAR.h rename to Sources/AAPlus/include/AAVSOP87E_EAR.h index 5d873ab..003a0cd --- a/Vendor/AA+/1.6.3/AAVSOP87E_EAR.h +++ b/Sources/AAPlus/include/AAVSOP87E_EAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_EAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Earth { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_JUP.cpp b/Sources/AAPlus/include/AAVSOP87E_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_JUP.cpp rename to Sources/AAPlus/include/AAVSOP87E_JUP.cpp index d2844bd..b7b5f2f --- a/Vendor/AA+/1.6.3/AAVSOP87E_JUP.cpp +++ b/Sources/AAPlus/include/AAVSOP87E_JUP.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_JUPITER +{ { { 5.19167797375, 0.59945079482, 529.69096509460 }, { 0.36633268070, 3.14159265359, 0.00000000000 }, { 0.12581924842, 0.94911581432, 1059.38193018920 }, @@ -1115,10 +1121,10 @@ const VSOP87Coefficient g_VSOP87E_X0_JUPITER[] = { 0.00000000451, 2.86326087284, 2527.20280398970 }, { 0.00000000461, 0.43280745403, 9580.50180689780 }, { 0.00000000373, 1.51273456935, 9264.10993724120 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_JUPITER[] = -{ +constexpr array g_VSOP87E_X1_JUPITER +{ { { 0.00883685325, 3.14159265359, 0.00000000000 }, { 0.00634691138, 0.10662162351, 1059.38193018920 }, { 0.00599147916, 2.42996832550, 522.57741809380 }, @@ -1618,10 +1624,10 @@ const VSOP87Coefficient g_VSOP87E_X1_JUPITER[] = { 0.00000000526, 1.28579140279, 3377.21779200400 }, { 0.00000000409, 2.96470929082, 1357.61455258110 }, { 0.00000000453, 4.96226113717, 4319.27985397300 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_JUPITER[] = -{ +constexpr array g_VSOP87E_X2_JUPITER +{ { { 0.00123746423, 4.13563340107, 522.57741809380 }, { 0.00121405454, 0.21155087534, 536.80451209540 }, { 0.00085400287, 0.00000000000, 0.00000000000 }, @@ -1880,10 +1886,10 @@ const VSOP87Coefficient g_VSOP87E_X2_JUPITER[] = { 0.00000000431, 2.42209558244, 849.26422848890 }, { 0.00000000453, 2.50871933627, 4010.00153131720 }, { 0.00000000412, 1.48533922130, 2758.66114669240 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_JUPITER[] = -{ +constexpr array g_VSOP87E_X3_JUPITER +{ { { 0.00017055031, 5.86133054086, 522.57741809380 }, { 0.00016697614, 4.77458774773, 536.80451209540 }, { 0.00003350618, 0.00000000000, 0.00000000000 }, @@ -2024,10 +2030,10 @@ const VSOP87Coefficient g_VSOP87E_X3_JUPITER[] = { 0.00000000415, 1.22669638769, 558.14515309780 }, { 0.00000000412, 0.92939189489, 1884.12412393800 }, { 0.00000000465, 5.90431132183, 2943.50605412720 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_JUPITER[] = -{ +constexpr array g_VSOP87E_X4_JUPITER +{ { { 0.00001760720, 1.32863064568, 522.57741809380 }, { 0.00001716208, 3.03331509801, 536.80451209540 }, { 0.00000303771, 1.43144429266, 515.46387109300 }, @@ -2087,10 +2093,10 @@ const VSOP87Coefficient g_VSOP87E_X4_JUPITER[] = { 0.00000000557, 2.29508710588, 1485.98012106520 }, { 0.00000000451, 0.61566349461, 1471.75302706360 }, { 0.00000000396, 3.90384143043, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_JUPITER[] = -{ +constexpr array g_VSOP87E_X5_JUPITER +{ { { 0.00000131346, 3.21284931869, 522.57741809380 }, { 0.00000126628, 1.16307002134, 536.80451209540 }, { 0.00000048324, 3.19657723128, 515.46387109300 }, @@ -2102,10 +2108,10 @@ const VSOP87Coefficient g_VSOP87E_X5_JUPITER[] = { 0.00000000886, 3.25499265714, 508.35032409220 }, { 0.00000000886, 4.22728564482, 551.03160609700 }, { 0.00000000467, 2.94921347849, 1596.18644228460 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_JUPITER[] = -{ +constexpr array g_VSOP87E_Y0_JUPITER +{ { { 5.19024510371, 5.31203160043, 529.69096509460 }, { 0.12580850775, 5.66160225641, 1059.38193018920 }, { 0.09329801081, 3.14159265359, 0.00000000000 }, @@ -3170,10 +3176,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_JUPITER[] = { 0.00000000402, 1.57660654845, 177.87437278590 }, { 0.00000000467, 4.62700522628, 2654.67460059650 }, { 0.00000000397, 3.56270803011, 5371.54823716140 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_JUPITER[] = -{ +constexpr array g_VSOP87E_Y1_JUPITER +{ { { 0.01694792137, 3.14159265359, 0.00000000000 }, { 0.00634254247, 4.81903195356, 1059.38193018920 }, { 0.00600587150, 0.85811137383, 522.57741809380 }, @@ -3684,10 +3690,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_JUPITER[] = { 0.00000000376, 0.48003200118, 614.62449204850 }, { 0.00000000514, 3.78168900426, 4752.99159184980 }, { 0.00000000369, 3.52888759515, 4120.20785253660 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_JUPITER[] = -{ +constexpr array g_VSOP87E_Y2_JUPITER +{ { { 0.00123914193, 2.56495551373, 522.57741809380 }, { 0.00121340211, 4.92398747363, 536.80451209540 }, { 0.00076450198, 3.75913373191, 529.69096509460 }, @@ -3950,10 +3956,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_JUPITER[] = { 0.00000000402, 5.96207457174, 2730.20695868920 }, { 0.00000000402, 2.01243830321, 2531.13495725280 }, { 0.00000000412, 6.19801347868, 2758.66114669240 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_JUPITER[] = -{ +constexpr array g_VSOP87E_Y3_JUPITER +{ { { 0.00017069216, 4.29096907367, 522.57741809380 }, { 0.00016685430, 3.20365723177, 536.80451209540 }, { 0.00004008677, 0.00000000000, 0.00000000000 }, @@ -4090,10 +4096,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_JUPITER[] = { 0.00000000523, 2.55250481076, 1802.37199072180 }, { 0.00000000415, 4.68478558747, 501.23677709140 }, { 0.00000000415, 5.93908536808, 558.14515309780 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_JUPITER[] = -{ +constexpr array g_VSOP87E_Y4_JUPITER +{ { { 0.00001760963, 6.04159397216, 522.57741809380 }, { 0.00001714409, 1.46206285710, 536.80451209540 }, { 0.00000304745, 6.14052526925, 515.46387109300 }, @@ -4155,10 +4161,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_JUPITER[] = { 0.00000000498, 1.06608244072, 1361.54670584420 }, { 0.00000000468, 5.07209650650, 21.34064100240 }, { 0.00000000396, 2.33304510363, 1603.29998928540 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_JUPITER[] = -{ +constexpr array g_VSOP87E_Y5_JUPITER +{ { { 0.00000131345, 1.64205558615, 522.57741809380 }, { 0.00000126513, 5.87372673584, 536.80451209540 }, { 0.00000048269, 1.62788936723, 515.46387109300 }, @@ -4170,10 +4176,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_JUPITER[] = { 0.00000000886, 1.68419633034, 508.35032409220 }, { 0.00000000886, 2.65648931803, 551.03160609700 }, { 0.00000000467, 1.37841715169, 1596.18644228460 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_JUPITER[] = -{ +constexpr array g_VSOP87E_Z0_JUPITER +{ { { 0.11811822789, 3.55844641987, 529.69096509460 }, { 0.00857879296, 0.00000000000, 0.00000000000 }, { 0.00286288759, 3.90812239092, 1059.38193018920 }, @@ -4403,10 +4409,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_JUPITER[] = { 0.00000000687, 2.88181717922, 71.81265315070 }, { 0.00000000459, 3.95268976842, 77.75054398390 }, { 0.00000000385, 0.88914902748, 151.04766984290 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_JUPITER[] = -{ +constexpr array g_VSOP87E_Z1_JUPITER +{ { { 0.00406683941, 1.52699356726, 529.69096509460 }, { 0.00020287968, 2.59878263946, 1059.38193018920 }, { 0.00014411207, 4.85400100506, 536.80451209540 }, @@ -4517,10 +4523,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_JUPITER[] = { 0.00000000533, 2.34579176940, 76.26607127560 }, { 0.00000000509, 5.03126544101, 10213.28554621100 }, { 0.00000000403, 1.25691345472, 36.64856292950 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_JUPITER[] = -{ +constexpr array g_VSOP87E_Z2_JUPITER +{ { { 0.00028608011, 3.01374191263, 529.69096509460 }, { 0.00003111783, 3.13228615794, 536.80451209540 }, { 0.00002377492, 0.95574455230, 522.57741809380 }, @@ -4587,10 +4593,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_JUPITER[] = { 0.00000000831, 1.37955361260, 1258.45393162560 }, { 0.00000000769, 2.37777541795, 1485.98012106520 }, { 0.00000000641, 4.89317483950, 74.78159856730 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_JUPITER[] = -{ +constexpr array g_VSOP87E_Z3_JUPITER +{ { { 0.00000963435, 4.79228412032, 529.69096509460 }, { 0.00000442821, 1.39969952998, 536.80451209540 }, { 0.00000295319, 2.81281406373, 522.57741809380 }, @@ -4621,10 +4627,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_JUPITER[] = { 0.00000000922, 0.27894425979, 942.06206196900 }, { 0.00000000797, 1.55035889004, 625.67019231240 }, { 0.00000000716, 1.50799790954, 220.41264243880 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_JUPITER[] = -{ +constexpr array g_VSOP87E_Z4_JUPITER +{ { { 0.00000046366, 5.93695398581, 536.80451209540 }, { 0.00000027761, 4.80287441467, 522.57741809380 }, { 0.00000005858, 4.53622024534, 515.46387109300 }, @@ -4635,75 +4641,74 @@ const VSOP87Coefficient g_VSOP87E_Z4_JUPITER[] = { 0.00000001549, 4.58690059715, 1059.38193018920 }, { 0.00000001490, 4.51390841743, 1052.26838318840 }, { 0.00000001130, 1.32994670268, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_JUPITER[] = -{ +constexpr array g_VSOP87E_Z5_JUPITER +{ { { 0.00000003446, 4.10413626462, 536.80451209540 }, { 0.00000002243, 0.82614663721, 522.57741809380 }, { 0.00000001081, 0.05498457769, 515.46387109300 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_JUPITER[] = -{ - { g_VSOP87E_X0_JUPITER, sizeof(g_VSOP87E_X0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_JUPITER, sizeof(g_VSOP87E_X1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_JUPITER, sizeof(g_VSOP87E_X2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_JUPITER, sizeof(g_VSOP87E_X3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_JUPITER, sizeof(g_VSOP87E_X4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_JUPITER, sizeof(g_VSOP87E_X5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_JUPITER +{ { + { g_VSOP87E_X0_JUPITER.data(), g_VSOP87E_X0_JUPITER.size() }, + { g_VSOP87E_X1_JUPITER.data(), g_VSOP87E_X1_JUPITER.size() }, + { g_VSOP87E_X2_JUPITER.data(), g_VSOP87E_X2_JUPITER.size() }, + { g_VSOP87E_X3_JUPITER.data(), g_VSOP87E_X3_JUPITER.size() }, + { g_VSOP87E_X4_JUPITER.data(), g_VSOP87E_X4_JUPITER.size() }, + { g_VSOP87E_X5_JUPITER.data(), g_VSOP87E_X5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_JUPITER[] = -{ - { g_VSOP87E_Y0_JUPITER, sizeof(g_VSOP87E_Y0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_JUPITER, sizeof(g_VSOP87E_Y1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_JUPITER, sizeof(g_VSOP87E_Y2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_JUPITER, sizeof(g_VSOP87E_Y3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_JUPITER, sizeof(g_VSOP87E_Y4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_JUPITER, sizeof(g_VSOP87E_Y5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_JUPITER +{ { + { g_VSOP87E_Y0_JUPITER.data(), g_VSOP87E_Y0_JUPITER.size() }, + { g_VSOP87E_Y1_JUPITER.data(), g_VSOP87E_Y1_JUPITER.size() }, + { g_VSOP87E_Y2_JUPITER.data(), g_VSOP87E_Y2_JUPITER.size() }, + { g_VSOP87E_Y3_JUPITER.data(), g_VSOP87E_Y3_JUPITER.size() }, + { g_VSOP87E_Y4_JUPITER.data(), g_VSOP87E_Y4_JUPITER.size() }, + { g_VSOP87E_Y5_JUPITER.data(), g_VSOP87E_Y5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_JUPITER[] = -{ - { g_VSOP87E_Z0_JUPITER, sizeof(g_VSOP87E_Z0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_JUPITER, sizeof(g_VSOP87E_Z1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_JUPITER, sizeof(g_VSOP87E_Z2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_JUPITER, sizeof(g_VSOP87E_Z3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_JUPITER, sizeof(g_VSOP87E_Z4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_JUPITER, sizeof(g_VSOP87E_Z5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_JUPITER +{ { + { g_VSOP87E_Z0_JUPITER.data(), g_VSOP87E_Z0_JUPITER.size() }, + { g_VSOP87E_Z1_JUPITER.data(), g_VSOP87E_Z1_JUPITER.size() }, + { g_VSOP87E_Z2_JUPITER.data(), g_VSOP87E_Z2_JUPITER.size() }, + { g_VSOP87E_Z3_JUPITER.data(), g_VSOP87E_Z3_JUPITER.size() }, + { g_VSOP87E_Z4_JUPITER.data(), g_VSOP87E_Z4_JUPITER.size() }, + { g_VSOP87E_Z5_JUPITER.data(), g_VSOP87E_Z5_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Jupiter::X(double JD) +double CAAVSOP87E_Jupiter::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_JUPITER, sizeof(g_VSOP87E_X_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_JUPITER.data(), g_VSOP87E_X_JUPITER.size(), false); } -double CAAVSOP87E_Jupiter::X_DASH(double JD) +double CAAVSOP87E_Jupiter::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_JUPITER, sizeof(g_VSOP87E_X_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_JUPITER.data(), g_VSOP87E_X_JUPITER.size()); } -double CAAVSOP87E_Jupiter::Y(double JD) +double CAAVSOP87E_Jupiter::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_JUPITER, sizeof(g_VSOP87E_Y_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_JUPITER.data(), g_VSOP87E_Y_JUPITER.size(), false); } -double CAAVSOP87E_Jupiter::Y_DASH(double JD) +double CAAVSOP87E_Jupiter::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_JUPITER, sizeof(g_VSOP87E_Y_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_JUPITER.data(), g_VSOP87E_Y_JUPITER.size()); } -double CAAVSOP87E_Jupiter::Z(double JD) +double CAAVSOP87E_Jupiter::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_JUPITER, sizeof(g_VSOP87E_Z_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_JUPITER.data(), g_VSOP87E_Z_JUPITER.size(), false); } -double CAAVSOP87E_Jupiter::Z_DASH(double JD) +double CAAVSOP87E_Jupiter::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_JUPITER, sizeof(g_VSOP87E_Z_JUPITER)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_JUPITER.data(), g_VSOP87E_Z_JUPITER.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_JUP.h b/Sources/AAPlus/include/AAVSOP87E_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_JUP.h rename to Sources/AAPlus/include/AAVSOP87E_JUP.h index 71c2eb3..f223593 --- a/Vendor/AA+/1.6.3/AAVSOP87E_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87E_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Jupiter { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_MAR.h b/Sources/AAPlus/include/AAVSOP87E_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_MAR.h rename to Sources/AAPlus/include/AAVSOP87E_MAR.h index 3606766..3b700e3 --- a/Vendor/AA+/1.6.3/AAVSOP87E_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87E_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Mars { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_MER.h b/Sources/AAPlus/include/AAVSOP87E_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_MER.h rename to Sources/AAPlus/include/AAVSOP87E_MER.h index 9f5102e..4f5cb7a --- a/Vendor/AA+/1.6.3/AAVSOP87E_MER.h +++ b/Sources/AAPlus/include/AAVSOP87E_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Mercury { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_NEP.h b/Sources/AAPlus/include/AAVSOP87E_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_NEP.h rename to Sources/AAPlus/include/AAVSOP87E_NEP.h index 2b85343..1288c75 --- a/Vendor/AA+/1.6.3/AAVSOP87E_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87E_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Neptune { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_SAT.h b/Sources/AAPlus/include/AAVSOP87E_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_SAT.h rename to Sources/AAPlus/include/AAVSOP87E_SAT.h index ce19d61..2705254 --- a/Vendor/AA+/1.6.3/AAVSOP87E_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87E_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Saturn { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_SUN.cpp b/Sources/AAPlus/include/AAVSOP87E_SUN.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_SUN.cpp rename to Sources/AAPlus/include/AAVSOP87E_SUN.cpp index ef21b9e..32d762e --- a/Vendor/AA+/1.6.3/AAVSOP87E_SUN.cpp +++ b/Sources/AAPlus/include/AAVSOP87E_SUN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_SUN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_SUN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_SUN[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_SUN +{ { { 0.00495672739, 3.74107356792, 529.69096509460 }, { 0.00271802376, 4.01601149775, 213.29909543800 }, { 0.00155435675, 2.17052050061, 38.13303563780 }, @@ -1325,10 +1331,10 @@ const VSOP87Coefficient g_VSOP87E_X0_SUN[] = { 0.00000000002, 5.54653763357, 451.72797278960 }, { 0.00000000002, 3.78961228004, 1696.09782276550 }, { 0.00000000002, 6.21479839139, 0.80314915210 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_SUN[] = -{ +constexpr array g_VSOP87E_X1_SUN +{ { { 0.00001296073, 3.14159265359, 0.00000000000 }, { 0.00000897419, 1.12892005450, 426.59819087600 }, { 0.00000776911, 2.70600396412, 206.18554843720 }, @@ -2145,10 +2151,10 @@ const VSOP87Coefficient g_VSOP87E_X1_SUN[] = { 0.00000000001, 0.08916826567, 151.26011816400 }, { 0.00000000001, 6.25410462651, 35.42472265210 }, { 0.00000000001, 1.92755185731, 1059.90319505100 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_SUN[] = -{ +constexpr array g_VSOP87E_X2_SUN +{ { { 0.00000160293, 4.40406062613, 206.18554843720 }, { 0.00000155633, 0.48183983171, 220.41264243880 }, { 0.00000118222, 0.99338493688, 522.57741809380 }, @@ -2610,10 +2616,10 @@ const VSOP87Coefficient g_VSOP87E_X2_SUN[] = { 0.00000000000, 1.30108106654, 2303.60876781320 }, { 0.00000000000, 3.20962690742, 140.00196957900 }, { 0.00000000000, 1.66839826038, 3259.89792378380 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_SUN[] = -{ +constexpr array g_VSOP87E_X3_SUN +{ { { 0.00000022035, 6.11822426048, 206.18554843720 }, { 0.00000021482, 5.03368299703, 220.41264243880 }, { 0.00000016291, 2.71940457791, 522.57741809380 }, @@ -2820,10 +2826,10 @@ const VSOP87Coefficient g_VSOP87E_X3_SUN[] = { 0.00000000001, 2.47098918303, 927.83496796740 }, { 0.00000000000, 6.18121716090, 235.39049596580 }, { 0.00000000000, 0.45100914365, 1354.43315884340 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_SUN[] = -{ +constexpr array g_VSOP87E_X4_SUN +{ { { 0.00000002272, 1.56364838180, 206.18554843720 }, { 0.00000002236, 3.28143366276, 220.41264243880 }, { 0.00000001682, 4.46996330708, 522.57741809380 }, @@ -2908,10 +2914,10 @@ const VSOP87Coefficient g_VSOP87E_X4_SUN[] = { 0.00000000001, 2.93998663691, 241.75328344120 }, { 0.00000000000, 1.39622585652, 611.44309831080 }, { 0.00000000000, 3.75725614820, 1471.75302706360 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_SUN[] = -{ +constexpr array g_VSOP87E_X5_SUN +{ { { 0.00000000168, 3.28069809842, 206.18554843720 }, { 0.00000000167, 1.52399958265, 220.41264243880 }, { 0.00000000126, 0.07122523863, 522.57741809380 }, @@ -2946,10 +2952,10 @@ const VSOP87Coefficient g_VSOP87E_X5_SUN[] = { 0.00000000001, 2.74702261476, 110.20632121940 }, { 0.00000000001, 4.89128041335, 860.30992875280 }, { 0.00000000001, 0.44519622714, 447.93883187840 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_SUN[] = -{ +constexpr array g_VSOP87E_Y0_SUN +{ { { 0.00495536218, 2.17046712634, 529.69096509460 }, { 0.00272185821, 2.44443364925, 213.29909543800 }, { 0.00155444313, 0.59927010840, 38.13303563780 }, @@ -4241,10 +4247,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_SUN[] = { 0.00000000001, 2.59207478919, 1.37259812370 }, { 0.00000000002, 1.64284544569, 132.88842257820 }, { 0.00000000002, 1.50487653073, 0.80314915210 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_SUN[] = -{ +constexpr array g_VSOP87E_Y1_SUN +{ { { 0.00000898747, 5.84062157690, 426.59819087600 }, { 0.00000781392, 1.12962797123, 206.18554843720 }, { 0.00000754898, 0.61969438775, 220.41264243880 }, @@ -5059,10 +5065,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_SUN[] = { 0.00000000001, 5.20115319331, 88.11492069160 }, { 0.00000000001, 1.11136134324, 319.31263096340 }, { 0.00000000001, 0.35675553051, 1059.90319505100 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_SUN[] = -{ +constexpr array g_VSOP87E_Y2_SUN +{ { { 0.00000160849, 2.83104666823, 206.18554843720 }, { 0.00000155973, 5.19309730583, 220.41264243880 }, { 0.00000118316, 5.70681506981, 522.57741809380 }, @@ -5533,10 +5539,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_SUN[] = { 0.00000000001, 4.52546489976, 173.94221952280 }, { 0.00000000000, 4.45232107208, 51.20572533120 }, { 0.00000000000, 4.30824410406, 3252.78437678300 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_SUN[] = -{ +constexpr array g_VSOP87E_Y3_SUN +{ { { 0.00000022088, 4.54598360855, 206.18554843720 }, { 0.00000021546, 3.46116671016, 220.41264243880 }, { 0.00000016300, 1.14934178921, 522.57741809380 }, @@ -5743,10 +5749,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_SUN[] = { 0.00000000000, 1.63826756079, 2214.74308759620 }, { 0.00000000000, 6.22055375222, 2015.67108615980 }, { 0.00000000001, 1.63051943172, 2310.72231481400 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_SUN[] = -{ +constexpr array g_VSOP87E_Y4_SUN +{ { { 0.00000002278, 6.27388903010, 206.18554843720 }, { 0.00000002245, 1.70782913671, 220.41264243880 }, { 0.00000001682, 2.89988955370, 522.57741809380 }, @@ -5834,10 +5840,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_SUN[] = { 0.00000000000, 2.96705876683, 611.44309831080 }, { 0.00000000001, 0.96127473040, 1361.54670584420 }, { 0.00000000000, 2.18676531283, 1471.75302706360 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_SUN[] = -{ +constexpr array g_VSOP87E_Y5_SUN +{ { { 0.00000000168, 1.70751121627, 206.18554843720 }, { 0.00000000168, 6.23113008656, 220.41264243880 }, { 0.00000000126, 4.78360062168, 522.57741809380 }, @@ -5872,10 +5878,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_SUN[] = { 0.00000000001, 3.32048408656, 860.30992875280 }, { 0.00000000001, 5.15758520752, 447.93883187840 }, { 0.00000000000, 3.53521969532, 302.16477565500 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_SUN[] = -{ +constexpr array g_VSOP87E_Z0_SUN +{ { { 0.00011810648, 0.46078690233, 213.29909543800 }, { 0.00011277700, 0.41689943638, 529.69096509460 }, { 0.00004802048, 4.58264723370, 38.13303563780 }, @@ -6252,10 +6258,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_SUN[] = { 0.00000000002, 1.38730096276, 80.71948940050 }, { 0.00000000002, 1.53818574837, 621.73803904930 }, { 0.00000000002, 2.29718443877, 636.71589257630 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_SUN[] = -{ +constexpr array g_VSOP87E_Z1_SUN +{ { { 0.00000544343, 1.80383716985, 213.29909543800 }, { 0.00000388234, 4.66855221170, 529.69096509460 }, { 0.00000133398, 0.00000000000, 0.00000000000 }, @@ -6499,10 +6505,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_SUN[] = { 0.00000000001, 2.80095524257, 532.61172640140 }, { 0.00000000001, 0.46243786333, 703.63318461740 }, { 0.00000000001, 1.45358374772, 146.59425171800 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_SUN[] = -{ +constexpr array g_VSOP87E_Z2_SUN +{ { { 0.00000037478, 3.23028568613, 213.29909543800 }, { 0.00000027315, 6.15507992196, 529.69096509460 }, { 0.00000008616, 0.77209239310, 206.18554843720 }, @@ -6626,10 +6632,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_SUN[] = { 0.00000000001, 0.00721267106, 408.43894361130 }, { 0.00000000000, 1.08851543423, 41.10198105440 }, { 0.00000000001, 3.22453393143, 831.85574074960 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_SUN[] = -{ +constexpr array g_VSOP87E_Z3_SUN +{ { { 0.00000001302, 4.84806136860, 213.29909543800 }, { 0.00000001364, 2.43564490971, 206.18554843720 }, { 0.00000000920, 1.65069146673, 529.69096509460 }, @@ -6691,10 +6697,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_SUN[] = { 0.00000000001, 1.73488850781, 10213.28554621100 }, { 0.00000000001, 3.84782364103, 203.00415469950 }, { 0.00000000000, 1.56743396293, 224.34479570190 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_SUN[] = -{ +constexpr array g_VSOP87E_Z4_SUN +{ { { 0.00000000164, 4.10546661445, 206.18554843720 }, { 0.00000000072, 6.04348211714, 220.41264243880 }, { 0.00000000070, 6.10651561968, 213.29909543800 }, @@ -6721,10 +6727,10 @@ const VSOP87Coefficient g_VSOP87E_Z4_SUN[] = { 0.00000000001, 1.63696733565, 117.31986822020 }, { 0.00000000001, 3.60628665626, 853.19638175200 }, { 0.00000000000, 2.65796643505, 110.20632121940 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_SUN[] = -{ +constexpr array g_VSOP87E_Z5_SUN +{ { { 0.00000000015, 5.75563126750, 206.18554843720 }, { 0.00000000005, 4.29978807671, 220.41264243880 }, { 0.00000000003, 0.96254361103, 536.80451209540 }, @@ -6734,68 +6740,67 @@ const VSOP87Coefficient g_VSOP87E_Z5_SUN[] = { 0.00000000002, 6.02426931559, 199.07200143640 }, { 0.00000000001, 3.19657723128, 515.46387109300 }, { 0.00000000001, 3.25850463040, 433.71173787680 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_SUN[] = -{ - { g_VSOP87E_X0_SUN, sizeof(g_VSOP87E_X0_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_SUN, sizeof(g_VSOP87E_X1_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_SUN, sizeof(g_VSOP87E_X2_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_SUN, sizeof(g_VSOP87E_X3_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_SUN, sizeof(g_VSOP87E_X4_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_SUN, sizeof(g_VSOP87E_X5_SUN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_SUN +{ { + { g_VSOP87E_X0_SUN.data(), g_VSOP87E_X0_SUN.size() }, + { g_VSOP87E_X1_SUN.data(), g_VSOP87E_X1_SUN.size() }, + { g_VSOP87E_X2_SUN.data(), g_VSOP87E_X2_SUN.size() }, + { g_VSOP87E_X3_SUN.data(), g_VSOP87E_X3_SUN.size() }, + { g_VSOP87E_X4_SUN.data(), g_VSOP87E_X4_SUN.size() }, + { g_VSOP87E_X5_SUN.data(), g_VSOP87E_X5_SUN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_SUN[] = -{ - { g_VSOP87E_Y0_SUN, sizeof(g_VSOP87E_Y0_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_SUN, sizeof(g_VSOP87E_Y1_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_SUN, sizeof(g_VSOP87E_Y2_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_SUN, sizeof(g_VSOP87E_Y3_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_SUN, sizeof(g_VSOP87E_Y4_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_SUN, sizeof(g_VSOP87E_Y5_SUN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_SUN +{ { + { g_VSOP87E_Y0_SUN.data(), g_VSOP87E_Y0_SUN.size() }, + { g_VSOP87E_Y1_SUN.data(), g_VSOP87E_Y1_SUN.size() }, + { g_VSOP87E_Y2_SUN.data(), g_VSOP87E_Y2_SUN.size() }, + { g_VSOP87E_Y3_SUN.data(), g_VSOP87E_Y3_SUN.size() }, + { g_VSOP87E_Y4_SUN.data(), g_VSOP87E_Y4_SUN.size() }, + { g_VSOP87E_Y5_SUN.data(), g_VSOP87E_Y5_SUN.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_SUN[] = -{ - { g_VSOP87E_Z0_SUN, sizeof(g_VSOP87E_Z0_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_SUN, sizeof(g_VSOP87E_Z1_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_SUN, sizeof(g_VSOP87E_Z2_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_SUN, sizeof(g_VSOP87E_Z3_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_SUN, sizeof(g_VSOP87E_Z4_SUN)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_SUN, sizeof(g_VSOP87E_Z5_SUN)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_SUN +{ { + { g_VSOP87E_Z0_SUN.data(), g_VSOP87E_Z0_SUN.size() }, + { g_VSOP87E_Z1_SUN.data(), g_VSOP87E_Z1_SUN.size() }, + { g_VSOP87E_Z2_SUN.data(), g_VSOP87E_Z2_SUN.size() }, + { g_VSOP87E_Z3_SUN.data(), g_VSOP87E_Z3_SUN.size() }, + { g_VSOP87E_Z4_SUN.data(), g_VSOP87E_Z4_SUN.size() }, + { g_VSOP87E_Z5_SUN.data(), g_VSOP87E_Z5_SUN.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Sun::X(double JD) +double CAAVSOP87E_Sun::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_SUN, sizeof(g_VSOP87E_X_SUN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_SUN.data(), g_VSOP87E_X_SUN.size(), false); } -double CAAVSOP87E_Sun::X_DASH(double JD) +double CAAVSOP87E_Sun::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_SUN, sizeof(g_VSOP87E_X_SUN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_SUN.data(), g_VSOP87E_X_SUN.size()); } -double CAAVSOP87E_Sun::Y(double JD) +double CAAVSOP87E_Sun::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_SUN, sizeof(g_VSOP87E_Y_SUN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_SUN.data(), g_VSOP87E_Y_SUN.size(), false); } -double CAAVSOP87E_Sun::Y_DASH(double JD) +double CAAVSOP87E_Sun::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_SUN, sizeof(g_VSOP87E_Y_SUN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_SUN.data(), g_VSOP87E_Y_SUN.size()); } -double CAAVSOP87E_Sun::Z(double JD) +double CAAVSOP87E_Sun::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_SUN, sizeof(g_VSOP87E_Z_SUN)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_SUN.data(), g_VSOP87E_Z_SUN.size(), false); } -double CAAVSOP87E_Sun::Z_DASH(double JD) +double CAAVSOP87E_Sun::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_SUN, sizeof(g_VSOP87E_Z_SUN)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_SUN.data(), g_VSOP87E_Z_SUN.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_SUN.h b/Sources/AAPlus/include/AAVSOP87E_SUN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_SUN.h rename to Sources/AAPlus/include/AAVSOP87E_SUN.h index 7667bda..920a8bf --- a/Vendor/AA+/1.6.3/AAVSOP87E_SUN.h +++ b/Sources/AAPlus/include/AAVSOP87E_SUN.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_SUN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Sun { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_URA.h b/Sources/AAPlus/include/AAVSOP87E_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_URA.h rename to Sources/AAPlus/include/AAVSOP87E_URA.h index 25e97ff..a4d97cd --- a/Vendor/AA+/1.6.3/AAVSOP87E_URA.h +++ b/Sources/AAPlus/include/AAVSOP87E_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Uranus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_VEN.cpp b/Sources/AAPlus/include/AAVSOP87E_VEN.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87E_VEN.cpp rename to Sources/AAPlus/include/AAVSOP87E_VEN.cpp index 872cf9f..33bf060 --- a/Vendor/AA+/1.6.3/AAVSOP87E_VEN.cpp +++ b/Sources/AAPlus/include/AAVSOP87E_VEN.cpp @@ -3,8 +3,9 @@ Module : AAVSOP87E_VEN.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +26,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87E_VEN.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87E_X0_VENUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87E_X0_VENUS +{ { { 0.72211104628, 3.17575836361, 10213.28554621100 }, { 0.00515822267, 0.00000000000, 0.00000000000 }, { 0.00494908458, 3.74108234732, 529.69096509460 }, @@ -988,10 +994,10 @@ const VSOP87Coefficient g_VSOP87E_X0_VENUS[] = { 0.00000000030, 4.55790675044, 247.23934538180 }, { 0.00000000028, 1.92419873752, 7886.71771223900 }, { 0.00000000031, 2.95281812365, 567.82400073240 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X1_VENUS[] = -{ +constexpr array g_VSOP87E_X1_VENUS +{ { { 0.00035158710, 3.14159265359, 0.00000000000 }, { 0.00017234950, 0.92721124604, 20426.57109242200 }, { 0.00006510400, 2.19289888883, 10213.28554621100 }, @@ -1575,10 +1581,10 @@ const VSOP87Coefficient g_VSOP87E_X1_VENUS[] = { 0.00000000015, 0.87904326630, 4.66586644600 }, { 0.00000000015, 5.80214824265, 181.05576652360 }, { 0.00000000015, 3.18753797236, 27991.40181316000 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X2_VENUS[] = -{ +constexpr array g_VSOP87E_X2_VENUS +{ { { 0.00000704792, 5.09874399916, 20426.57109242200 }, { 0.00000624474, 3.86836508673, 10213.28554621100 }, { 0.00000604225, 3.14159265359, 0.00000000000 }, @@ -1845,10 +1851,10 @@ const VSOP87Coefficient g_VSOP87E_X2_VENUS[] = { 0.00000000008, 6.28154480422, 721.64941953020 }, { 0.00000000007, 4.14213787767, 867.42347575360 }, { 0.00000000008, 2.28858892249, 1361.54670584420 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X3_VENUS[] = -{ +constexpr array g_VSOP87E_X3_VENUS +{ { { 0.00000075614, 0.00000000000, 0.00000000000 }, { 0.00000022035, 6.11822426048, 206.18554843720 }, { 0.00000021482, 5.03368299703, 220.41264243880 }, @@ -1955,10 +1961,10 @@ const VSOP87Coefficient g_VSOP87E_X3_VENUS[] = { 0.00000000005, 6.19237785082, 3.93215326310 }, { 0.00000000004, 0.27398248033, 1485.98012106520 }, { 0.00000000004, 4.28076500111, 437.64389113990 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X4_VENUS[] = -{ +constexpr array g_VSOP87E_X4_VENUS +{ { { 0.00000002272, 1.56364838180, 206.18554843720 }, { 0.00000002236, 3.28143366276, 220.41264243880 }, { 0.00000001682, 4.46996330708, 522.57741809380 }, @@ -2020,10 +2026,10 @@ const VSOP87Coefficient g_VSOP87E_X4_VENUS[] = { 0.00000000002, 5.59314231958, 316.39186965660 }, { 0.00000000002, 3.65310721758, 831.85574074960 }, { 0.00000000002, 1.87311938884, 309.27832265580 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_X5_VENUS[] = -{ +constexpr array g_VSOP87E_X5_VENUS +{ { { 0.00000000168, 3.28069809842, 206.18554843720 }, { 0.00000000167, 1.52399958265, 220.41264243880 }, { 0.00000000126, 0.07122523863, 522.57741809380 }, @@ -2056,10 +2062,10 @@ const VSOP87Coefficient g_VSOP87E_X5_VENUS[] = { 0.00000000001, 3.69401301909, 213.29909543800 }, { 0.00000000001, 5.15663977426, 7.11354700080 }, { 0.00000000001, 0.75807081859, 124.43341522100 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y0_VENUS[] = -{ +constexpr array g_VSOP87E_Y0_VENUS +{ { { 0.72324643689, 1.60573808356, 10213.28554621100 }, { 0.00515636737, 3.14159265359, 0.00000000000 }, { 0.00494765697, 2.17048019743, 529.69096509460 }, @@ -3032,10 +3038,10 @@ const VSOP87Coefficient g_VSOP87E_Y0_VENUS[] = { 0.00000000037, 2.06942308542, 37703.97802425580 }, { 0.00000000031, 1.84196344987, 25960.42265088920 }, { 0.00000000028, 3.49625376754, 7886.71771223900 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y1_VENUS[] = -{ +constexpr array g_VSOP87E_Y1_VENUS +{ { { 0.00039237546, 0.00000000000, 0.00000000000 }, { 0.00017282284, 5.63824735900, 20426.57109242200 }, { 0.00005968061, 3.60854941167, 10213.28554621100 }, @@ -3610,10 +3616,10 @@ const VSOP87Coefficient g_VSOP87E_Y1_VENUS[] = { 0.00000000013, 4.57052023792, 52670.06959330260 }, { 0.00000000013, 4.57568246165, 32243.49850088060 }, { 0.00000000016, 1.89603210492, 404.50679034820 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y2_VENUS[] = -{ +constexpr array g_VSOP87E_Y2_VENUS +{ { { 0.00002062969, 3.14159265359, 0.00000000000 }, { 0.00000702050, 3.52724964753, 20426.57109242200 }, { 0.00000265708, 4.68092693055, 10213.28554621100 }, @@ -3878,10 +3884,10 @@ const VSOP87Coefficient g_VSOP87E_Y2_VENUS[] = { 0.00000000009, 5.81958505267, 87.31177153950 }, { 0.00000000007, 2.57134529838, 867.42347575360 }, { 0.00000000008, 0.69696747390, 1361.54670584420 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y3_VENUS[] = -{ +constexpr array g_VSOP87E_Y3_VENUS +{ { { 0.00000022088, 4.54598360855, 206.18554843720 }, { 0.00000021546, 3.46116671016, 220.41264243880 }, { 0.00000022966, 0.38709241285, 10213.28554621100 }, @@ -3988,10 +3994,10 @@ const VSOP87Coefficient g_VSOP87E_Y3_VENUS[] = { 0.00000000004, 2.71001820282, 437.64389113990 }, { 0.00000000003, 5.02306065714, 1485.98012106520 }, { 0.00000000004, 4.61647130206, 3.93215326310 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y4_VENUS[] = -{ +constexpr array g_VSOP87E_Y4_VENUS +{ { { 0.00000002278, 6.27388903010, 206.18554843720 }, { 0.00000002245, 1.70782913671, 220.41264243880 }, { 0.00000001682, 2.89988955370, 522.57741809380 }, @@ -4051,10 +4057,10 @@ const VSOP87Coefficient g_VSOP87E_Y4_VENUS[] = { 0.00000000002, 2.35344419082, 1155.36115740700 }, { 0.00000000002, 6.26658939437, 429.77958461370 }, { 0.00000000003, 4.51313719193, 316.39186965660 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Y5_VENUS[] = -{ +constexpr array g_VSOP87E_Y5_VENUS +{ { { 0.00000000168, 1.70751121627, 206.18554843720 }, { 0.00000000168, 6.23113008656, 220.41264243880 }, { 0.00000000126, 4.78360062168, 522.57741809380 }, @@ -4086,10 +4092,10 @@ const VSOP87Coefficient g_VSOP87E_Y5_VENUS[] = { 0.00000000001, 4.33591184160, 654.12438031560 }, { 0.00000000001, 2.98586613188, 853.19638175200 }, { 0.00000000001, 5.47044078046, 124.43341522100 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z0_VENUS[] = -{ +constexpr array g_VSOP87E_Z0_VENUS +{ { { 0.04282979819, 0.26703856471, 10213.28554621100 }, { 0.00036740999, 3.14159265359, 0.00000000000 }, { 0.00014501844, 1.14696911390, 20426.57109242200 }, @@ -4378,10 +4384,10 @@ const VSOP87Coefficient g_VSOP87E_Z0_VENUS[] = { 0.00000000032, 4.71988612983, 628.85158605010 }, { 0.00000000031, 0.58732919927, 9.56122755560 }, { 0.00000000028, 5.43761306842, 388.46515523820 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z1_VENUS[] = -{ +constexpr array g_VSOP87E_Z1_VENUS +{ { { 0.00208095894, 1.88967278742, 10213.28554621100 }, { 0.00001264986, 3.71037501321, 20426.57109242200 }, { 0.00001497542, 0.00000000000, 0.00000000000 }, @@ -4568,10 +4574,10 @@ const VSOP87Coefficient g_VSOP87E_Z1_VENUS[] = { 0.00000000017, 1.47291446860, 77.75054398390 }, { 0.00000000015, 4.99910482431, 423.41679713830 }, { 0.00000000014, 2.62615297219, 210.85141488320 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z2_VENUS[] = -{ +constexpr array g_VSOP87E_Z2_VENUS +{ { { 0.00009148022, 3.34791005272, 10213.28554621100 }, { 0.00000162299, 0.00000000000, 0.00000000000 }, { 0.00000037478, 3.23028568613, 213.29909543800 }, @@ -4672,10 +4678,10 @@ const VSOP87Coefficient g_VSOP87E_Z2_VENUS[] = { 0.00000000007, 4.26888098753, 36.64856292950 }, { 0.00000000007, 3.46601151480, 956.28915597060 }, { 0.00000000007, 1.63081873969, 39.61750834610 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z3_VENUS[] = -{ +constexpr array g_VSOP87E_Z3_VENUS +{ { { 0.00000272005, 4.87648116140, 10213.28554621100 }, { 0.00000014894, 3.14159265359, 0.00000000000 }, { 0.00000001743, 0.42985032723, 20426.57109242200 }, @@ -4718,10 +4724,10 @@ const VSOP87Coefficient g_VSOP87E_Z3_VENUS[] = { 0.00000000004, 1.59186789207, 632.78373931320 }, { 0.00000000004, 1.52800084237, 412.37109687440 }, { 0.00000000003, 2.72859893423, 217.23124870110 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z4_VENUS[] = -{ +constexpr array g_VSOP87E_Z4_VENUS +{ { { 0.00000006175, 0.17121460361, 10213.28554621100 }, { 0.00000000164, 4.10546661445, 206.18554843720 }, { 0.00000000115, 3.14159265359, 0.00000000000 }, @@ -4742,10 +4748,10 @@ const VSOP87Coefficient g_VSOP87E_Z4_VENUS[] = { 0.00000000003, 0.80949781331, 14.22709400160 }, { 0.00000000003, 3.63118822382, 1066.49547719000 }, { 0.00000000002, 3.76452892490, 639.89728631400 } -}; +} }; -const VSOP87Coefficient g_VSOP87E_Z5_VENUS[] = -{ +constexpr array g_VSOP87E_Z5_VENUS +{ { { 0.00000000108, 1.67439739641, 10213.28554621100 }, { 0.00000000028, 0.00000000000, 0.00000000000 }, { 0.00000000015, 5.75563126750, 206.18554843720 }, @@ -4757,68 +4763,67 @@ const VSOP87Coefficient g_VSOP87E_Z5_VENUS[] = { 0.00000000002, 6.02426931559, 199.07200143640 }, { 0.00000000001, 3.19657723128, 515.46387109300 }, { 0.00000000001, 3.25850463040, 433.71173787680 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87E_X_VENUS[] = -{ - { g_VSOP87E_X0_VENUS, sizeof(g_VSOP87E_X0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X1_VENUS, sizeof(g_VSOP87E_X1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X2_VENUS, sizeof(g_VSOP87E_X2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X3_VENUS, sizeof(g_VSOP87E_X3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X4_VENUS, sizeof(g_VSOP87E_X4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_X5_VENUS, sizeof(g_VSOP87E_X5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_X_VENUS +{ { + { g_VSOP87E_X0_VENUS.data(), g_VSOP87E_X0_VENUS.size() }, + { g_VSOP87E_X1_VENUS.data(), g_VSOP87E_X1_VENUS.size() }, + { g_VSOP87E_X2_VENUS.data(), g_VSOP87E_X2_VENUS.size() }, + { g_VSOP87E_X3_VENUS.data(), g_VSOP87E_X3_VENUS.size() }, + { g_VSOP87E_X4_VENUS.data(), g_VSOP87E_X4_VENUS.size() }, + { g_VSOP87E_X5_VENUS.data(), g_VSOP87E_X5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Y_VENUS[] = -{ - { g_VSOP87E_Y0_VENUS, sizeof(g_VSOP87E_Y0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y1_VENUS, sizeof(g_VSOP87E_Y1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y2_VENUS, sizeof(g_VSOP87E_Y2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y3_VENUS, sizeof(g_VSOP87E_Y3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y4_VENUS, sizeof(g_VSOP87E_Y4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Y5_VENUS, sizeof(g_VSOP87E_Y5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Y_VENUS +{ { + { g_VSOP87E_Y0_VENUS.data(), g_VSOP87E_Y0_VENUS.size() }, + { g_VSOP87E_Y1_VENUS.data(), g_VSOP87E_Y1_VENUS.size() }, + { g_VSOP87E_Y2_VENUS.data(), g_VSOP87E_Y2_VENUS.size() }, + { g_VSOP87E_Y3_VENUS.data(), g_VSOP87E_Y3_VENUS.size() }, + { g_VSOP87E_Y4_VENUS.data(), g_VSOP87E_Y4_VENUS.size() }, + { g_VSOP87E_Y5_VENUS.data(), g_VSOP87E_Y5_VENUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87E_Z_VENUS[] = -{ - { g_VSOP87E_Z0_VENUS, sizeof(g_VSOP87E_Z0_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z1_VENUS, sizeof(g_VSOP87E_Z1_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z2_VENUS, sizeof(g_VSOP87E_Z2_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z3_VENUS, sizeof(g_VSOP87E_Z3_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z4_VENUS, sizeof(g_VSOP87E_Z4_VENUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87E_Z5_VENUS, sizeof(g_VSOP87E_Z5_VENUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87E_Z_VENUS +{ { + { g_VSOP87E_Z0_VENUS.data(), g_VSOP87E_Z0_VENUS.size() }, + { g_VSOP87E_Z1_VENUS.data(), g_VSOP87E_Z1_VENUS.size() }, + { g_VSOP87E_Z2_VENUS.data(), g_VSOP87E_Z2_VENUS.size() }, + { g_VSOP87E_Z3_VENUS.data(), g_VSOP87E_Z3_VENUS.size() }, + { g_VSOP87E_Z4_VENUS.data(), g_VSOP87E_Z4_VENUS.size() }, + { g_VSOP87E_Z5_VENUS.data(), g_VSOP87E_Z5_VENUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87E_Venus::X(double JD) +double CAAVSOP87E_Venus::X(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_X_VENUS, sizeof(g_VSOP87E_X_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_X_VENUS.data(), g_VSOP87E_X_VENUS.size(), false); } -double CAAVSOP87E_Venus::X_DASH(double JD) +double CAAVSOP87E_Venus::X_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_X_VENUS, sizeof(g_VSOP87E_X_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_X_VENUS.data(), g_VSOP87E_X_VENUS.size()); } -double CAAVSOP87E_Venus::Y(double JD) +double CAAVSOP87E_Venus::Y(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Y_VENUS, sizeof(g_VSOP87E_Y_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Y_VENUS.data(), g_VSOP87E_Y_VENUS.size(), false); } -double CAAVSOP87E_Venus::Y_DASH(double JD) +double CAAVSOP87E_Venus::Y_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_VENUS, sizeof(g_VSOP87E_Y_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Y_VENUS.data(), g_VSOP87E_Y_VENUS.size()); } -double CAAVSOP87E_Venus::Z(double JD) +double CAAVSOP87E_Venus::Z(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87E_Z_VENUS, sizeof(g_VSOP87E_Z_VENUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87E_Z_VENUS.data(), g_VSOP87E_Z_VENUS.size(), false); } -double CAAVSOP87E_Venus::Z_DASH(double JD) +double CAAVSOP87E_Venus::Z_DASH(double JD) noexcept { - return CVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_VENUS, sizeof(g_VSOP87E_Z_VENUS)/(sizeof(VSOP87Coefficient))); + return CAAVSOP87::Calculate_Dash(JD, g_VSOP87E_Z_VENUS.data(), g_VSOP87E_Z_VENUS.size()); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87E_VEN.h b/Sources/AAPlus/include/AAVSOP87E_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87E_VEN.h rename to Sources/AAPlus/include/AAVSOP87E_VEN.h index 3123f2f..50b8157 --- a/Vendor/AA+/1.6.3/AAVSOP87E_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87E_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87E_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87E_Venus { public: - static double X(double JD); - static double X_DASH(double JD); - static double Y(double JD); - static double Y_DASH(double JD); - static double Z(double JD); - static double Z_DASH(double JD); + static double X(double JD) noexcept; + static double X_DASH(double JD) noexcept; + static double Y(double JD) noexcept; + static double Y_DASH(double JD) noexcept; + static double Z(double JD) noexcept; + static double Z_DASH(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_EMB.h b/Sources/AAPlus/include/AAVSOP87_EMB.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_EMB.h rename to Sources/AAPlus/include/AAVSOP87_EMB.h index cd2360e..4cf222a --- a/Vendor/AA+/1.6.3/AAVSOP87_EMB.h +++ b/Sources/AAPlus/include/AAVSOP87_EMB.h @@ -2,9 +2,8 @@ Module : AAVSOP87_EMB.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_EMB { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_JUP.cpp b/Sources/AAPlus/include/AAVSOP87_JUP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87_JUP.cpp rename to Sources/AAPlus/include/AAVSOP87_JUP.cpp index 46e8eae..7143813 --- a/Vendor/AA+/1.6.3/AAVSOP87_JUP.cpp +++ b/Sources/AAPlus/include/AAVSOP87_JUP.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_JUP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_JUP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_JUPITER[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_JUPITER +{ { { 5.20260319132, 0.00000000000, 0.00000000000 }, { 0.00069070151, 5.72686174779, 632.78373931320 }, { 0.00032272046, 1.90381613358, 103.09277421860 }, @@ -678,10 +688,10 @@ const VSOP87Coefficient g_VSOP87_A0_JUPITER[] = { 0.00000000400, 4.33229783514, 5371.54823716140 }, { 0.00000000489, 1.56579523423, 915.23535902600 }, { 0.00000000487, 5.76910609337, 1809.48553772260 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_JUPITER[] = -{ +constexpr array g_VSOP87_A1_JUPITER +{ { { 0.00010177614, 4.46063225487, 7.11354700080 }, { 0.00002974577, 2.40984161552, 419.48464387520 }, { 0.00002846542, 2.88143856615, 103.09277421860 }, @@ -1023,10 +1033,10 @@ const VSOP87Coefficient g_VSOP87_A1_JUPITER[] = { 0.00000000410, 3.65727724676, 835.78789401270 }, { 0.00000000483, 1.87765466840, 1681.87072876390 }, { 0.00000000441, 4.01112688674, 113.38771495710 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_JUPITER[] = -{ +constexpr array g_VSOP87_A2_JUPITER +{ { { 0.00002100381, 2.75770207184, 7.11354700080 }, { 0.00000210954, 4.19391095229, 419.48464387520 }, { 0.00000244841, 5.39511569851, 206.18554843720 }, @@ -1216,10 +1226,10 @@ const VSOP87Coefficient g_VSOP87_A2_JUPITER[] = { 0.00000000383, 5.92476180091, 210.11770170030 }, { 0.00000000510, 4.66519472705, 423.41679713830 }, { 0.00000000397, 0.04288334247, 902.70518605380 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A3_JUPITER[] = -{ +constexpr array g_VSOP87_A3_JUPITER +{ { { 0.00000289189, 1.03672574333, 7.11354700080 }, { 0.00000042376, 0.90818529126, 14.22709400160 }, { 0.00000022669, 0.86695733896, 206.18554843720 }, @@ -1312,10 +1322,10 @@ const VSOP87Coefficient g_VSOP87_A3_JUPITER[] = { 0.00000000451, 6.23985712464, 1457.52593306200 }, { 0.00000000481, 5.08157551247, 2737.32050569000 }, { 0.00000000445, 0.75343353736, 1382.88734684660 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A4_JUPITER[] = -{ +constexpr array g_VSOP87_A4_JUPITER +{ { { 0.00000030039, 5.57966344138, 7.11354700080 }, { 0.00000008809, 5.46579084771, 14.22709400160 }, { 0.00000001867, 1.43786862863, 412.37109687440 }, @@ -1345,16 +1355,16 @@ const VSOP87Coefficient g_VSOP87_A4_JUPITER[] = { 0.00000000480, 1.58387647300, 1464.63948006280 }, { 0.00000000477, 0.45258389525, 1677.93857550080 }, { 0.00000000466, 1.84510790283, 419.48464387520 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A5_JUPITER[] = -{ +constexpr array g_VSOP87_A5_JUPITER +{ { { 0.00000002311, 3.68623332199, 7.11354700080 }, { 0.00000001472, 3.67869308954, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_JUPITER[] = -{ +constexpr array g_VSOP87_L0_JUPITER +{ { { 0.59954649739, 0.00000000000, 0.00000000000 }, { 0.00573506125, 1.44396306420, 7.11354700080 }, { 0.00062308554, 3.41857056095, 103.09277421860 }, @@ -2270,10 +2280,10 @@ const VSOP87Coefficient g_VSOP87_L0_JUPITER[] = { 0.00000000083, 0.48560128335, 206.13736432740 }, { 0.00000000093, 1.06113903146, 490.07345674850 }, { 0.00000000087, 2.13244170817, 1291.43097372290 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_JUPITER[] = -{ +constexpr array g_VSOP87_L1_JUPITER +{ { { 529.69096509460, 0.00000000000, 0.00000000000 }, { 0.00228875491, 6.02639570653, 7.11354700080 }, { 0.00005840251, 4.42734755250, 103.09277421860 }, @@ -2699,10 +2709,10 @@ const VSOP87Coefficient g_VSOP87_L1_JUPITER[] = { 0.00000000091, 2.70438319792, 2803.80791460440 }, { 0.00000000091, 2.22032335230, 2818.03500860600 }, { 0.00000000083, 1.37128855802, 52175.80628314840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_JUPITER[] = -{ +constexpr array g_VSOP87_L2_JUPITER +{ { { 0.00047224495, 4.32142959829, 7.11354700080 }, { 0.00014837133, 3.14159265359, 0.00000000000 }, { 0.00001719760, 4.18704068143, 14.22709400160 }, @@ -2908,10 +2918,10 @@ const VSOP87Coefficient g_VSOP87_L2_JUPITER[] = { 0.00000000139, 5.80769025536, 1049.08698945070 }, { 0.00000000144, 3.77644011752, 4002.88798431640 }, { 0.00000000072, 3.39335722469, 453.42489381900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_JUPITER[] = -{ +constexpr array g_VSOP87_L3_JUPITER +{ { { 0.00006500387, 2.59858880160, 7.11354700080 }, { 0.00000470234, 2.47473054303, 14.22709400160 }, { 0.00000023487, 2.45142067087, 206.18554843720 }, @@ -3001,10 +3011,10 @@ const VSOP87Coefficient g_VSOP87_L3_JUPITER[] = { 0.00000000165, 0.32536873765, 1670.82502850000 }, { 0.00000000162, 3.24073745667, 853.19638175200 }, { 0.00000000138, 1.50220014912, 227.52618943960 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_JUPITER[] = -{ +constexpr array g_VSOP87_L4_JUPITER +{ { { 0.00000669512, 0.85280446877, 7.11354700080 }, { 0.00000099840, 0.74141513153, 14.22709400160 }, { 0.00000004279, 0.48394526989, 21.34064100240 }, @@ -3035,16 +3045,16 @@ const VSOP87Coefficient g_VSOP87_L4_JUPITER[] = { 0.00000000208, 3.04093179630, 1272.68102562720 }, { 0.00000000228, 2.25398823746, 1361.54670584420 }, { 0.00000000185, 4.42123518501, 191.95845443560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_JUPITER[] = -{ +constexpr array g_VSOP87_L5_JUPITER +{ { { 0.00000049625, 5.25702966548, 7.11354700080 }, { 0.00000015800, 5.24948942826, 14.22709400160 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_JUPITER[] = -{ +constexpr array g_VSOP87_K0_JUPITER +{ { { 0.04698572124, 0.00000000000, 0.00000000000 }, { 0.00065287010, 5.14135675663, 103.09277421860 }, { 0.00038006128, 2.03714771852, 7.11354700080 }, @@ -3768,10 +3778,10 @@ const VSOP87Coefficient g_VSOP87_K0_JUPITER[] = { 0.00000000098, 2.32705469675, 115.62294719080 }, { 0.00000000095, 0.75539381888, 661.09491496450 }, { 0.00000000075, 3.28042104010, 1777.09919645630 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_JUPITER[] = -{ +constexpr array g_VSOP87_K1_JUPITER +{ { { 0.00113010377, 0.00000000000, 0.00000000000 }, { 0.00010303903, 0.33250058601, 7.11354700080 }, { 0.00001978042, 1.13748818129, 110.20632121940 }, @@ -4113,10 +4123,10 @@ const VSOP87Coefficient g_VSOP87_K1_JUPITER[] = { 0.00000000084, 4.37154741123, 446.31134681820 }, { 0.00000000081, 5.23960846473, 1432.39615114840 }, { 0.00000000094, 4.16691628448, 1215.16490244730 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_JUPITER[] = -{ +constexpr array g_VSOP87_K2_JUPITER +{ { { 0.00010930126, 3.14159265359, 0.00000000000 }, { 0.00001442597, 4.88233039271, 7.11354700080 }, { 0.00000179812, 5.41803419096, 110.20632121940 }, @@ -4283,10 +4293,10 @@ const VSOP87Coefficient g_VSOP87_K2_JUPITER[] = { 0.00000000112, 2.77361784799, 3480.31056622260 }, { 0.00000000136, 3.37755187853, 1560.61870728060 }, { 0.00000000104, 1.94187110895, 76.26607127560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_JUPITER[] = -{ +constexpr array g_VSOP87_K3_JUPITER +{ { { 0.00000428748, 3.14159265359, 0.00000000000 }, { 0.00000135595, 3.10018478882, 7.11354700080 }, { 0.00000037146, 3.06589701418, 14.22709400160 }, @@ -4359,10 +4369,10 @@ const VSOP87Coefficient g_VSOP87_K3_JUPITER[] = { 0.00000000157, 4.27731912902, 1272.68102562720 }, { 0.00000000162, 4.66124977342, 824.74219374880 }, { 0.00000000146, 4.46986825125, 2104.53676637680 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_JUPITER[] = -{ +constexpr array g_VSOP87_K4_JUPITER +{ { { 0.00000020539, 0.00000000000, 0.00000000000 }, { 0.00000010306, 1.36883311604, 7.11354700080 }, { 0.00000006260, 1.34333875901, 14.22709400160 }, @@ -4375,10 +4385,10 @@ const VSOP87Coefficient g_VSOP87_K4_JUPITER[] = { 0.00000000272, 0.13377460240, 515.46387109300 }, { 0.00000000235, 5.65753750945, 412.37109687440 }, { 0.00000000236, 0.63469222907, 103.09277421860 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_JUPITER[] = -{ +constexpr array g_VSOP87_H0_JUPITER +{ { { 0.01200385748, 0.00000000000, 0.00000000000 }, { 0.00064278139, 0.39928981461, 103.09277421860 }, { 0.00037689163, 0.46902799622, 7.11354700080 }, @@ -5112,10 +5122,10 @@ const VSOP87Coefficient g_VSOP87_H0_JUPITER[] = { 0.00000000084, 5.21810779783, 565.11568774670 }, { 0.00000000093, 5.26033244294, 85.82729883120 }, { 0.00000000071, 2.87356513970, 109.68505635760 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_JUPITER[] = -{ +constexpr array g_VSOP87_H1_JUPITER +{ { { 0.00217149360, 0.00000000000, 0.00000000000 }, { 0.00010164439, 5.05135857516, 7.11354700080 }, { 0.00001666197, 6.26691415094, 110.20632121940 }, @@ -5454,10 +5464,10 @@ const VSOP87Coefficient g_VSOP87_H1_JUPITER[] = { 0.00000000084, 5.94227050452, 446.31134681820 }, { 0.00000000073, 1.38205209307, 380.12776796000 }, { 0.00000000081, 3.67935509351, 1432.39615114840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_JUPITER[] = -{ +constexpr array g_VSOP87_H2_JUPITER +{ { { 0.00009858539, 0.00000000000, 0.00000000000 }, { 0.00001409659, 3.32663555725, 7.11354700080 }, { 0.00000161790, 3.19948896566, 14.22709400160 }, @@ -5622,10 +5632,10 @@ const VSOP87Coefficient g_VSOP87_H2_JUPITER[] = { 0.00000000147, 2.06952289359, 3583.40334044120 }, { 0.00000000135, 4.96240124977, 1560.61870728060 }, { 0.00000000104, 0.37085721185, 76.26607127560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_JUPITER[] = -{ +constexpr array g_VSOP87_H3_JUPITER +{ { { 0.00000513109, 3.14159265359, 0.00000000000 }, { 0.00000131751, 1.55652906839, 7.11354700080 }, { 0.00000036795, 1.47927043619, 14.22709400160 }, @@ -5695,10 +5705,10 @@ const VSOP87Coefficient g_VSOP87_H3_JUPITER[] = { 0.00000000174, 5.81380254350, 956.28915597060 }, { 0.00000000152, 5.36445619500, 1155.36115740700 }, { 0.00000000162, 0.01641198621, 824.74219374880 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_JUPITER[] = -{ +constexpr array g_VSOP87_H4_JUPITER +{ { { 0.00000010211, 5.98104481075, 7.11354700080 }, { 0.00000009007, 3.14159265359, 0.00000000000 }, { 0.00000006231, 6.04815787394, 14.22709400160 }, @@ -5712,10 +5722,10 @@ const VSOP87Coefficient g_VSOP87_H4_JUPITER[] = { 0.00000000305, 2.02245392075, 515.46387109300 }, { 0.00000000261, 5.44819828527, 103.09277421860 }, { 0.00000000226, 0.90680356094, 412.37109687440 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_JUPITER[] = -{ +constexpr array g_VSOP87_Q0_JUPITER +{ { { 0.00206561098, 3.14159265359, 0.00000000000 }, { 0.00000856543, 2.10259354702, 7.11354700080 }, { 0.00000220629, 3.05589086672, 110.20632121940 }, @@ -5857,10 +5867,10 @@ const VSOP87Coefficient g_VSOP87_Q0_JUPITER[] = { 0.00000000079, 4.08884186199, 7342.45778018060 }, { 0.00000000079, 1.73775741717, 721.64941953020 }, { 0.00000000074, 5.71142781045, 835.03713448730 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_JUPITER[] = -{ +constexpr array g_VSOP87_Q1_JUPITER +{ { { 0.00031340156, 3.14159265359, 0.00000000000 }, { 0.00000034269, 4.48449666464, 110.20632121940 }, { 0.00000021893, 3.19222803886, 103.09277421860 }, @@ -5936,10 +5946,10 @@ const VSOP87Coefficient g_VSOP87_Q1_JUPITER[] = { 0.00000000097, 3.13769659643, 1382.88734684660 }, { 0.00000000098, 2.39482421656, 1258.45393162560 }, { 0.00000000095, 4.10326207414, 1485.98012106520 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_JUPITER[] = -{ +constexpr array g_VSOP87_Q2_JUPITER +{ { { 0.00001667392, 3.14159265359, 0.00000000000 }, { 0.00000002400, 1.73799718560, 7.11354700080 }, { 0.00000001062, 5.93949929568, 110.20632121940 }, @@ -5964,17 +5974,17 @@ const VSOP87Coefficient g_VSOP87_Q2_JUPITER[] = { 0.00000000162, 4.49546651386, 735.87651353180 }, { 0.00000000111, 3.24236633008, 220.41264243880 }, { 0.00000000144, 6.13724793577, 1478.86657406440 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_JUPITER[] = -{ +constexpr array g_VSOP87_Q3_JUPITER +{ { { 0.00000076926, 0.00000000000, 0.00000000000 }, { 0.00000000201, 1.06565930867, 110.20632121940 }, { 0.00000000181, 6.11336620175, 103.09277421860 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_JUPITER[] = -{ +constexpr array g_VSOP87_P0_JUPITER +{ { { 0.01118377157, 0.00000000000, 0.00000000000 }, { 0.00000851237, 0.43284391102, 7.11354700080 }, { 0.00000218691, 1.34049397687, 110.20632121940 }, @@ -6114,10 +6124,10 @@ const VSOP87Coefficient g_VSOP87_P0_JUPITER[] = { 0.00000000098, 5.04950545089, 3163.91869656600 }, { 0.00000000074, 5.85868634319, 3487.42411322340 }, { 0.00000000098, 4.67584865893, 983.11585891360 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_JUPITER[] = -{ +constexpr array g_VSOP87_P1_JUPITER +{ { { 0.00023427562, 3.14159265359, 0.00000000000 }, { 0.00000033680, 3.00741737744, 110.20632121940 }, { 0.00000029342, 3.34828184519, 7.11354700080 }, @@ -6192,10 +6202,10 @@ const VSOP87Coefficient g_VSOP87_P1_JUPITER[] = { 0.00000000094, 2.50862154178, 1485.98012106520 }, { 0.00000000093, 2.72228059144, 2847.52682690940 }, { 0.00000000089, 2.76057202743, 2001.44399215820 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_JUPITER[] = -{ +constexpr array g_VSOP87_P2_JUPITER +{ { { 0.00002086760, 0.00000000000, 0.00000000000 }, { 0.00000003739, 1.13964326904, 7.11354700080 }, { 0.00000002410, 1.04198545180, 103.09277421860 }, @@ -6220,99 +6230,98 @@ const VSOP87Coefficient g_VSOP87_P2_JUPITER[] = { 0.00000000138, 4.71450309081, 1478.86657406440 }, { 0.00000000112, 1.64463502652, 220.41264243880 }, { 0.00000000113, 5.98350020165, 956.28915597060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_JUPITER[] = -{ +constexpr array g_VSOP87_P3_JUPITER +{ { { 0.00000050721, 0.00000000000, 0.00000000000 }, { 0.00000000260, 2.64978251942, 103.09277421860 }, { 0.00000000197, 5.80584784285, 110.20632121940 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_JUPITER[] = -{ - { g_VSOP87_A0_JUPITER, sizeof(g_VSOP87_A0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_JUPITER, sizeof(g_VSOP87_A1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_JUPITER, sizeof(g_VSOP87_A2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A3_JUPITER, sizeof(g_VSOP87_A3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A4_JUPITER, sizeof(g_VSOP87_A4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A5_JUPITER, sizeof(g_VSOP87_A5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_JUPITER +{ { + { g_VSOP87_A0_JUPITER.data(), g_VSOP87_A0_JUPITER.size() }, + { g_VSOP87_A1_JUPITER.data(), g_VSOP87_A1_JUPITER.size() }, + { g_VSOP87_A2_JUPITER.data(), g_VSOP87_A2_JUPITER.size() }, + { g_VSOP87_A3_JUPITER.data(), g_VSOP87_A3_JUPITER.size() }, + { g_VSOP87_A4_JUPITER.data(), g_VSOP87_A4_JUPITER.size() }, + { g_VSOP87_A5_JUPITER.data(), g_VSOP87_A5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_JUPITER[] = -{ - { g_VSOP87_L0_JUPITER, sizeof(g_VSOP87_L0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_JUPITER, sizeof(g_VSOP87_L1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_JUPITER, sizeof(g_VSOP87_L2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_JUPITER, sizeof(g_VSOP87_L3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_JUPITER, sizeof(g_VSOP87_L4_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_JUPITER, sizeof(g_VSOP87_L5_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_JUPITER +{ { + { g_VSOP87_L0_JUPITER.data(), g_VSOP87_L0_JUPITER.size() }, + { g_VSOP87_L1_JUPITER.data(), g_VSOP87_L1_JUPITER.size() }, + { g_VSOP87_L2_JUPITER.data(), g_VSOP87_L2_JUPITER.size() }, + { g_VSOP87_L3_JUPITER.data(), g_VSOP87_L3_JUPITER.size() }, + { g_VSOP87_L4_JUPITER.data(), g_VSOP87_L4_JUPITER.size() }, + { g_VSOP87_L5_JUPITER.data(), g_VSOP87_L5_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_JUPITER[] = -{ - { g_VSOP87_K0_JUPITER, sizeof(g_VSOP87_K0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_JUPITER, sizeof(g_VSOP87_K1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_JUPITER, sizeof(g_VSOP87_K2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_JUPITER, sizeof(g_VSOP87_K3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_JUPITER, sizeof(g_VSOP87_K4_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_JUPITER +{ { + { g_VSOP87_K0_JUPITER.data(), g_VSOP87_K0_JUPITER.size() }, + { g_VSOP87_K1_JUPITER.data(), g_VSOP87_K1_JUPITER.size() }, + { g_VSOP87_K2_JUPITER.data(), g_VSOP87_K2_JUPITER.size() }, + { g_VSOP87_K3_JUPITER.data(), g_VSOP87_K3_JUPITER.size() }, + { g_VSOP87_K4_JUPITER.data(), g_VSOP87_K4_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_JUPITER[] = -{ - { g_VSOP87_H0_JUPITER, sizeof(g_VSOP87_H0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_JUPITER, sizeof(g_VSOP87_H1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_JUPITER, sizeof(g_VSOP87_H2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_JUPITER, sizeof(g_VSOP87_H3_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_JUPITER, sizeof(g_VSOP87_H4_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_JUPITER +{ { + { g_VSOP87_H0_JUPITER.data(), g_VSOP87_H0_JUPITER.size() }, + { g_VSOP87_H1_JUPITER.data(), g_VSOP87_H1_JUPITER.size() }, + { g_VSOP87_H2_JUPITER.data(), g_VSOP87_H2_JUPITER.size() }, + { g_VSOP87_H3_JUPITER.data(), g_VSOP87_H3_JUPITER.size() }, + { g_VSOP87_H4_JUPITER.data(), g_VSOP87_H4_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_JUPITER[] = -{ - { g_VSOP87_Q0_JUPITER, sizeof(g_VSOP87_Q0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_JUPITER, sizeof(g_VSOP87_Q1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_JUPITER, sizeof(g_VSOP87_Q2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_JUPITER, sizeof(g_VSOP87_Q3_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_JUPITER +{ { + { g_VSOP87_Q0_JUPITER.data(), g_VSOP87_Q0_JUPITER.size() }, + { g_VSOP87_Q1_JUPITER.data(), g_VSOP87_Q1_JUPITER.size() }, + { g_VSOP87_Q2_JUPITER.data(), g_VSOP87_Q2_JUPITER.size() }, + { g_VSOP87_Q3_JUPITER.data(), g_VSOP87_Q3_JUPITER.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_JUPITER[] = -{ - { g_VSOP87_P0_JUPITER, sizeof(g_VSOP87_P0_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_JUPITER, sizeof(g_VSOP87_P1_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_JUPITER, sizeof(g_VSOP87_P2_JUPITER)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_JUPITER, sizeof(g_VSOP87_P3_JUPITER)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_JUPITER +{ { + { g_VSOP87_P0_JUPITER.data(), g_VSOP87_P0_JUPITER.size() }, + { g_VSOP87_P1_JUPITER.data(), g_VSOP87_P1_JUPITER.size() }, + { g_VSOP87_P2_JUPITER.data(), g_VSOP87_P2_JUPITER.size() }, + { g_VSOP87_P3_JUPITER.data(), g_VSOP87_P3_JUPITER.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Jupiter::A(double JD) +double CAAVSOP87_Jupiter::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_JUPITER, sizeof(g_VSOP87_A_JUPITER)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_JUPITER.data(), g_VSOP87_A_JUPITER.size(), false); } -double CAAVSOP87_Jupiter::L(double JD) +double CAAVSOP87_Jupiter::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_JUPITER, sizeof(g_VSOP87_L_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_JUPITER.data(), g_VSOP87_L_JUPITER.size(), true); } -double CAAVSOP87_Jupiter::K(double JD) +double CAAVSOP87_Jupiter::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_JUPITER, sizeof(g_VSOP87_K_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_JUPITER.data(), g_VSOP87_K_JUPITER.size(), false); } -double CAAVSOP87_Jupiter::H(double JD) +double CAAVSOP87_Jupiter::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_JUPITER, sizeof(g_VSOP87_H_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_JUPITER.data(), g_VSOP87_H_JUPITER.size(), false); } -double CAAVSOP87_Jupiter::Q(double JD) +double CAAVSOP87_Jupiter::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_JUPITER, sizeof(g_VSOP87_Q_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_JUPITER.data(), g_VSOP87_Q_JUPITER.size(), false); } -double CAAVSOP87_Jupiter::P(double JD) +double CAAVSOP87_Jupiter::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_JUPITER, sizeof(g_VSOP87_P_JUPITER)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_JUPITER.data(), g_VSOP87_P_JUPITER.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_JUP.h b/Sources/AAPlus/include/AAVSOP87_JUP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_JUP.h rename to Sources/AAPlus/include/AAVSOP87_JUP.h index e52b87e..f0bb192 --- a/Vendor/AA+/1.6.3/AAVSOP87_JUP.h +++ b/Sources/AAPlus/include/AAVSOP87_JUP.h @@ -2,9 +2,8 @@ Module : AAVSOP87_JUP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Jupiter { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_MAR.cpp b/Sources/AAPlus/include/AAVSOP87_MAR.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87_MAR.cpp rename to Sources/AAPlus/include/AAVSOP87_MAR.cpp index 7a82c0b..3ef5047 --- a/Vendor/AA+/1.6.3/AAVSOP87_MAR.cpp +++ b/Sources/AAPlus/include/AAVSOP87_MAR.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_MAR.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_MAR.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_MARS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_MARS +{ { { 1.52367934191, 0.00000000000, 0.00000000000 }, { 0.00006601698, 4.92149777465, 5621.84292321040 }, { 0.00002201786, 1.39247552912, 2281.23049651060 }, @@ -852,10 +862,10 @@ const VSOP87Coefficient g_VSOP87_A0_MARS[] = { 0.00000000054, 0.23768244180, 8020.39328794120 }, { 0.00000000054, 2.57524504856, 1589.07289528380 }, { 0.00000000056, 4.70929891625, 14319.69103735720 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_MARS[] = -{ +constexpr array g_VSOP87_A1_MARS +{ { { 0.00000173844, 2.89087004153, 2281.23049651060 }, { 0.00000101801, 1.97498465368, 796.29800681640 }, { 0.00000096493, 3.42326689865, 398.14900340820 }, @@ -1360,10 +1370,10 @@ const VSOP87Coefficient g_VSOP87_A1_MARS[] = { 0.00000000029, 1.17635681743, 5466.42252377620 }, { 0.00000000028, 0.52565407861, 31405.64970307940 }, { 0.00000000027, 2.76973826662, 5813.29118932200 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_MARS[] = -{ +constexpr array g_VSOP87_A2_MARS +{ { { 0.00000007922, 0.43226674586, 796.29800681640 }, { 0.00000007069, 4.42733956430, 2281.23049651060 }, { 0.00000005551, 5.25628370574, 155.42039943420 }, @@ -1612,10 +1622,10 @@ const VSOP87Coefficient g_VSOP87_A2_MARS[] = { 0.00000000019, 5.03229380810, 6525.80445396540 }, { 0.00000000015, 5.87337369480, 5401.43028077160 }, { 0.00000000014, 1.98102502070, 4447.75123238460 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_MARS[] = -{ +constexpr array g_VSOP87_L0_MARS +{ { { 6.20347611291, 0.00000000000, 0.00000000000 }, { 0.00027745033, 5.97049541372, 3.52311834900 }, { 0.00008926849, 4.15697846934, 0.01725365220 }, @@ -2808,10 +2818,10 @@ const VSOP87Coefficient g_VSOP87_L0_MARS[] = { 0.00000000039, 2.86225061373, 10603.78856010680 }, { 0.00000000039, 2.79526397719, 10730.82708237599 }, { 0.00000000040, 0.38512958422, 17498.31250894439 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_MARS[] = -{ +constexpr array g_VSOP87_L1_MARS +{ { { 3340.61242669981, 0.00000000000, 0.00000000000 }, { 0.00003452439, 4.73210379431, 3.52311834900 }, { 0.00000521206, 5.01701667787, 398.14900340820 }, @@ -3379,10 +3389,10 @@ const VSOP87Coefficient g_VSOP87_L1_MARS[] = { 0.00000000041, 4.31852186437, 3503.07906283200 }, { 0.00000000046, 0.36306301673, 11216.28429032400 }, { 0.00000000047, 4.25739124642, 24076.44458812540 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_MARS[] = -{ +constexpr array g_VSOP87_L2_MARS +{ { { 0.00000457003, 0.00000000000, 0.00000000000 }, { 0.00000222023, 3.19436877547, 3.52311834900 }, { 0.00000120524, 0.54322525360, 155.42039943420 }, @@ -3556,10 +3566,10 @@ const VSOP87Coefficient g_VSOP87_L2_MARS[] = { 0.00000000036, 4.82700558154, 14469.58851248400 }, { 0.00000000036, 3.94289166604, 33716.96506586640 }, { 0.00000000036, 5.04540211726, 23141.55838292460 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_MARS[] = -{ +constexpr array g_VSOP87_L3_MARS +{ { { 0.00000022651, 2.05274276845, 155.42039943420 }, { 0.00000010453, 1.58017883784, 3.52311834900 }, { 0.00000004897, 2.82498037929, 242.72860397400 }, @@ -3576,25 +3586,25 @@ const VSOP87Coefficient g_VSOP87_L3_MARS[] = { 0.00000000564, 1.87575099874, 398.14900340820 }, { 0.00000000568, 5.85680968533, 7.11354700080 }, { 0.00000000496, 1.26361514155, 2281.23049651060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_MARS[] = -{ +constexpr array g_VSOP87_L4_MARS +{ { { 0.00000003191, 3.56238614133, 155.42039943420 }, { 0.00000000780, 1.31847436349, 242.72860397400 }, { 0.00000000375, 2.15417571402, 553.56940284240 }, { 0.00000000337, 6.23429572653, 3.52311834900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_MARS[] = -{ +constexpr array g_VSOP87_L5_MARS +{ { { 0.00000000360, 5.07221207581, 155.42039943420 }, { 0.00000000101, 6.09132595616, 242.72860397400 }, { 0.00000000035, 3.68268956419, 553.56940284240 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_MARS[] = -{ +constexpr array g_VSOP87_K0_MARS +{ { { 0.08536560252, 0.00000000000, 0.00000000000 }, { 0.00008228685, 4.99515670335, 2281.23049651060 }, { 0.00004631835, 3.76981942051, 529.69096509460 }, @@ -4604,10 +4614,10 @@ const VSOP87Coefficient g_VSOP87_K0_MARS[] = { 0.00000000040, 2.18838672804, 222.86032299360 }, { 0.00000000037, 5.43036858248, 14157.70008224460 }, { 0.00000000037, 2.02426272332, 5415.65737477320 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_MARS[] = -{ +constexpr array g_VSOP87_K1_MARS +{ { { 0.00376330152, 0.00000000000, 0.00000000000 }, { 0.00000205412, 0.17415970907, 1059.38193018920 }, { 0.00000080663, 1.45727712555, 796.29800681640 }, @@ -5091,10 +5101,10 @@ const VSOP87Coefficient g_VSOP87_K1_MARS[] = { 0.00000000035, 5.96469430404, 846.08283475120 }, { 0.00000000035, 0.74397655621, 26357.67508463600 }, { 0.00000000046, 1.03070474867, 35464.98147893340 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_MARS[] = -{ +constexpr array g_VSOP87_K2_MARS +{ { { 0.00024657776, 3.14159265359, 0.00000000000 }, { 0.00000008347, 4.91035186193, 1059.38193018920 }, { 0.00000006114, 5.74891242435, 155.42039943420 }, @@ -5248,26 +5258,26 @@ const VSOP87Coefficient g_VSOP87_K2_MARS[] = { 0.00000000046, 4.47822702153, 7373.38245462640 }, { 0.00000000035, 2.04358824864, 1066.49547719000 }, { 0.00000000040, 5.29180064390, 27832.03821928320 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_MARS[] = -{ +constexpr array g_VSOP87_K3_MARS +{ { { 0.00000367305, 3.14159265359, 0.00000000000 }, { 0.00000000976, 0.97331498838, 155.42039943420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_MARS[] = -{ +constexpr array g_VSOP87_K4_MARS +{ { { 0.00000011112, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_MARS[] = -{ +constexpr array g_VSOP87_K5_MARS +{ { { 0.00000000026, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_MARS[] = -{ +constexpr array g_VSOP87_H0_MARS +{ { { 0.03789973236, 3.14159265359, 0.00000000000 }, { 0.00008158391, 0.29399378947, 2281.23049651060 }, { 0.00004516507, 2.19998239682, 529.69096509460 }, @@ -6262,10 +6272,10 @@ const VSOP87Coefficient g_VSOP87_H0_MARS[] = { 0.00000000036, 3.24879028200, 12502.13977804640 }, { 0.00000000036, 4.37200709638, 838.96928775040 }, { 0.00000000035, 4.97677182618, 12472.64795974300 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_MARS[] = -{ +constexpr array g_VSOP87_H1_MARS +{ { { 0.00624657465, 0.00000000000, 0.00000000000 }, { 0.00000205697, 4.88522652066, 1059.38193018920 }, { 0.00000080948, 6.16314387042, 796.29800681640 }, @@ -6737,10 +6747,10 @@ const VSOP87Coefficient g_VSOP87_H1_MARS[] = { 0.00000000038, 0.34303491904, 664.75604513000 }, { 0.00000000035, 1.94449132801, 3980.50971301380 }, { 0.00000000035, 5.66679333286, 3017.10701004240 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_MARS[] = -{ +constexpr array g_VSOP87_H2_MARS +{ { { 0.00015529482, 0.00000000000, 0.00000000000 }, { 0.00000008375, 3.33893383605, 1059.38193018920 }, { 0.00000005987, 1.08005704297, 155.42039943420 }, @@ -6899,26 +6909,26 @@ const VSOP87Coefficient g_VSOP87_H2_MARS[] = { 0.00000000038, 4.80159966903, 13936.79450513400 }, { 0.00000000042, 5.98488085374, 7373.38245462640 }, { 0.00000000035, 1.24108887464, 9381.93999378540 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_MARS[] = -{ +constexpr array g_VSOP87_H3_MARS +{ { { 0.00000634879, 3.14159265359, 0.00000000000 }, { 0.00000000951, 2.60444791431, 155.42039943420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_MARS[] = -{ +constexpr array g_VSOP87_H4_MARS +{ { { 0.00000006593, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_MARS[] = -{ +constexpr array g_VSOP87_H5_MARS +{ { { 0.00000000073, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_MARS[] = -{ +constexpr array g_VSOP87_Q0_MARS +{ { { 0.01047042574, 0.00000000000, 0.00000000000 }, { 0.00000086127, 1.13804101351, 1059.38193018920 }, { 0.00000027006, 3.23550093119, 398.14900340820 }, @@ -7153,10 +7163,10 @@ const VSOP87Coefficient g_VSOP87_Q0_MARS[] = { 0.00000000036, 4.95330259874, 3980.50971301380 }, { 0.00000000040, 4.34811434727, 18454.60166491500 }, { 0.00000000042, 0.45823807572, 25287.72379939980 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_MARS[] = -{ +constexpr array g_VSOP87_Q1_MARS +{ { { 0.00017138526, 0.00000000000, 0.00000000000 }, { 0.00000006579, 2.24044032394, 1059.38193018920 }, { 0.00000002574, 0.99860968375, 398.14900340820 }, @@ -7252,10 +7262,10 @@ const VSOP87Coefficient g_VSOP87_Q1_MARS[] = { 0.00000000036, 1.59698784880, 2118.76386037840 }, { 0.00000000040, 5.00843826350, 17654.78053974960 }, { 0.00000000035, 1.61402663674, 16858.48253293320 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_MARS[] = -{ +constexpr array g_VSOP87_Q2_MARS +{ { { 0.00004077491, 3.14159265359, 0.00000000000 }, { 0.00000000301, 3.38526050953, 1059.38193018920 }, { 0.00000000294, 5.74874124288, 529.69096509460 }, @@ -7280,25 +7290,25 @@ const VSOP87Coefficient g_VSOP87_Q2_MARS[] = { 0.00000000039, 2.93624328832, 2942.46342329160 }, { 0.00000000037, 4.45677290617, 951.71840625060 }, { 0.00000000037, 1.44593340153, 191.44826611160 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_MARS[] = -{ +constexpr array g_VSOP87_Q3_MARS +{ { { 0.00000138835, 3.14159265359, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q4_MARS[] = -{ +constexpr array g_VSOP87_Q4_MARS +{ { { 0.00000000916, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q5_MARS[] = -{ +constexpr array g_VSOP87_Q5_MARS +{ { { 0.00000000176, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_MARS[] = -{ +constexpr array g_VSOP87_P0_MARS +{ { { 0.01228449307, 0.00000000000, 0.00000000000 }, { 0.00000084872, 5.82347158199, 1059.38193018920 }, { 0.00000031844, 1.07696120609, 529.69096509460 }, @@ -7535,10 +7545,10 @@ const VSOP87Coefficient g_VSOP87_P0_MARS[] = { 0.00000000036, 3.37153569954, 3980.50971301380 }, { 0.00000000040, 2.77818830292, 18454.60166491500 }, { 0.00000000039, 4.94154581552, 19406.67828817460 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_MARS[] = -{ +constexpr array g_VSOP87_P1_MARS +{ { { 0.00108020083, 3.14159265359, 0.00000000000 }, { 0.00000006495, 0.71407695516, 1059.38193018920 }, { 0.00000002689, 3.24607312176, 529.69096509460 }, @@ -7629,10 +7639,10 @@ const VSOP87Coefficient g_VSOP87_P1_MARS[] = { 0.00000000038, 1.66570590997, 10575.40668294180 }, { 0.00000000039, 4.37939202713, 149.56319713460 }, { 0.00000000034, 1.88688083453, 21393.54196985760 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_MARS[] = -{ +constexpr array g_VSOP87_P2_MARS +{ { { 0.00001922224, 3.14159265359, 0.00000000000 }, { 0.00000000311, 1.78969843774, 1059.38193018920 }, { 0.00000000314, 4.08030330741, 529.69096509460 }, @@ -7654,104 +7664,103 @@ const VSOP87Coefficient g_VSOP87_P2_MARS[] = { 0.00000000039, 1.43803389681, 553.56940284240 }, { 0.00000000037, 4.78305488072, 3738.76143010800 }, { 0.00000000036, 1.13570297853, 3870.30339179440 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_MARS[] = -{ +constexpr array g_VSOP87_P3_MARS +{ { { 0.00000087186, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P4_MARS[] = -{ +constexpr array g_VSOP87_P4_MARS +{ { { 0.00000003090, 0.00000000000, 0.00000000000 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_MARS[] = -{ - { g_VSOP87_A0_MARS, sizeof(g_VSOP87_A0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_MARS, sizeof(g_VSOP87_A1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_MARS, sizeof(g_VSOP87_A2_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_MARS +{ { + { g_VSOP87_A0_MARS.data(), g_VSOP87_A0_MARS.size() }, + { g_VSOP87_A1_MARS.data(), g_VSOP87_A1_MARS.size() }, + { g_VSOP87_A2_MARS.data(), g_VSOP87_A2_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_MARS[] = -{ - { g_VSOP87_L0_MARS, sizeof(g_VSOP87_L0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_MARS, sizeof(g_VSOP87_L1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_MARS, sizeof(g_VSOP87_L2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_MARS, sizeof(g_VSOP87_L3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_MARS, sizeof(g_VSOP87_L4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_MARS, sizeof(g_VSOP87_L5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_MARS +{ { + { g_VSOP87_L0_MARS.data(), g_VSOP87_L0_MARS.size() }, + { g_VSOP87_L1_MARS.data(), g_VSOP87_L1_MARS.size() }, + { g_VSOP87_L2_MARS.data(), g_VSOP87_L2_MARS.size() }, + { g_VSOP87_L3_MARS.data(), g_VSOP87_L3_MARS.size() }, + { g_VSOP87_L4_MARS.data(), g_VSOP87_L4_MARS.size() }, + { g_VSOP87_L5_MARS.data(), g_VSOP87_L5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_MARS[] = -{ - { g_VSOP87_K0_MARS, sizeof(g_VSOP87_K0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_MARS, sizeof(g_VSOP87_K1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_MARS, sizeof(g_VSOP87_K2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_MARS, sizeof(g_VSOP87_K3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_MARS, sizeof(g_VSOP87_K4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_MARS, sizeof(g_VSOP87_K5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_MARS +{ { + { g_VSOP87_K0_MARS.data(), g_VSOP87_K0_MARS.size() }, + { g_VSOP87_K1_MARS.data(), g_VSOP87_K1_MARS.size() }, + { g_VSOP87_K2_MARS.data(), g_VSOP87_K2_MARS.size() }, + { g_VSOP87_K3_MARS.data(), g_VSOP87_K3_MARS.size() }, + { g_VSOP87_K4_MARS.data(), g_VSOP87_K4_MARS.size() }, + { g_VSOP87_K5_MARS.data(), g_VSOP87_K5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_MARS[] = -{ - { g_VSOP87_H0_MARS, sizeof(g_VSOP87_H0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_MARS, sizeof(g_VSOP87_H1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_MARS, sizeof(g_VSOP87_H2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_MARS, sizeof(g_VSOP87_H3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_MARS, sizeof(g_VSOP87_H4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_MARS, sizeof(g_VSOP87_H5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_MARS +{ { + { g_VSOP87_H0_MARS.data(), g_VSOP87_H0_MARS.size() }, + { g_VSOP87_H1_MARS.data(), g_VSOP87_H1_MARS.size() }, + { g_VSOP87_H2_MARS.data(), g_VSOP87_H2_MARS.size() }, + { g_VSOP87_H3_MARS.data(), g_VSOP87_H3_MARS.size() }, + { g_VSOP87_H4_MARS.data(), g_VSOP87_H4_MARS.size() }, + { g_VSOP87_H5_MARS.data(), g_VSOP87_H5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_MARS[] = -{ - { g_VSOP87_Q0_MARS, sizeof(g_VSOP87_Q0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_MARS, sizeof(g_VSOP87_Q1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_MARS, sizeof(g_VSOP87_Q2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_MARS, sizeof(g_VSOP87_Q3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q4_MARS, sizeof(g_VSOP87_Q4_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q5_MARS, sizeof(g_VSOP87_Q5_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_MARS +{ { + { g_VSOP87_Q0_MARS.data(), g_VSOP87_Q0_MARS.size() }, + { g_VSOP87_Q1_MARS.data(), g_VSOP87_Q1_MARS.size() }, + { g_VSOP87_Q2_MARS.data(), g_VSOP87_Q2_MARS.size() }, + { g_VSOP87_Q3_MARS.data(), g_VSOP87_Q3_MARS.size() }, + { g_VSOP87_Q4_MARS.data(), g_VSOP87_Q4_MARS.size() }, + { g_VSOP87_Q5_MARS.data(), g_VSOP87_Q5_MARS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_MARS[] = -{ - { g_VSOP87_P0_MARS, sizeof(g_VSOP87_P0_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_MARS, sizeof(g_VSOP87_P1_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_MARS, sizeof(g_VSOP87_P2_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_MARS, sizeof(g_VSOP87_P3_MARS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P4_MARS, sizeof(g_VSOP87_P4_MARS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_MARS +{ { + { g_VSOP87_P0_MARS.data(), g_VSOP87_P0_MARS.size() }, + { g_VSOP87_P1_MARS.data(), g_VSOP87_P1_MARS.size() }, + { g_VSOP87_P2_MARS.data(), g_VSOP87_P2_MARS.size() }, + { g_VSOP87_P3_MARS.data(), g_VSOP87_P3_MARS.size() }, + { g_VSOP87_P4_MARS.data(), g_VSOP87_P4_MARS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Mars::A(double JD) +double CAAVSOP87_Mars::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_MARS, sizeof(g_VSOP87_A_MARS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_MARS.data(), g_VSOP87_A_MARS.size(), false); } -double CAAVSOP87_Mars::L(double JD) +double CAAVSOP87_Mars::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_MARS, sizeof(g_VSOP87_L_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_MARS.data(), g_VSOP87_L_MARS.size(), true); } -double CAAVSOP87_Mars::K(double JD) +double CAAVSOP87_Mars::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_MARS, sizeof(g_VSOP87_K_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_MARS.data(), g_VSOP87_K_MARS.size(), false); } -double CAAVSOP87_Mars::H(double JD) +double CAAVSOP87_Mars::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_MARS, sizeof(g_VSOP87_H_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_MARS.data(), g_VSOP87_H_MARS.size(), false); } -double CAAVSOP87_Mars::Q(double JD) +double CAAVSOP87_Mars::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_MARS, sizeof(g_VSOP87_Q_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_MARS.data(), g_VSOP87_Q_MARS.size(), false); } -double CAAVSOP87_Mars::P(double JD) +double CAAVSOP87_Mars::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_MARS, sizeof(g_VSOP87_P_MARS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_MARS.data(), g_VSOP87_P_MARS.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_MAR.h b/Sources/AAPlus/include/AAVSOP87_MAR.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_MAR.h rename to Sources/AAPlus/include/AAVSOP87_MAR.h index 8933b92..b3f59d5 --- a/Vendor/AA+/1.6.3/AAVSOP87_MAR.h +++ b/Sources/AAPlus/include/AAVSOP87_MAR.h @@ -2,9 +2,8 @@ Module : AAVSOP87_MAR.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Mars { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_MER.h b/Sources/AAPlus/include/AAVSOP87_MER.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_MER.h rename to Sources/AAPlus/include/AAVSOP87_MER.h index cdcfc46..8a3dbd0 --- a/Vendor/AA+/1.6.3/AAVSOP87_MER.h +++ b/Sources/AAPlus/include/AAVSOP87_MER.h @@ -2,9 +2,8 @@ Module : AAVSOP87_MER.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Mercury { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_NEP.cpp b/Sources/AAPlus/include/AAVSOP87_NEP.cpp old mode 100755 new mode 100644 similarity index 97% rename from Vendor/AA+/1.6.3/AAVSOP87_NEP.cpp rename to Sources/AAPlus/include/AAVSOP87_NEP.cpp index 3ed7786..deae4ef --- a/Vendor/AA+/1.6.3/AAVSOP87_NEP.cpp +++ b/Sources/AAPlus/include/AAVSOP87_NEP.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_NEP.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_NEP.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_NEPTUNE[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_NEPTUNE +{ { { 30.11038686942, 0.00000000000, 0.00000000000 }, { 0.14818172119, 1.57105922541, 491.55792945680 }, { 0.03597274341, 1.84552690821, 175.16605980020 }, @@ -1181,10 +1191,10 @@ const VSOP87Coefficient g_VSOP87_A0_NEPTUNE[] = { 0.00000002754, 4.53189887476, 1614.62757383960 }, { 0.00000002548, 3.97217289962, 29.74746424980 }, { 0.00000002192, 6.17305341452, 31.54075349880 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_NEPTUNE[] = -{ +constexpr array g_VSOP87_A1_NEPTUNE +{ { { 0.00035017221, 1.07792431879, 1021.24889455140 }, { 0.00021981792, 5.24159938374, 388.46515523820 }, { 0.00016983720, 2.88749614679, 498.67147645760 }, @@ -1620,10 +1630,10 @@ const VSOP87Coefficient g_VSOP87_A1_NEPTUNE[] = { 0.00000002617, 3.79818771995, 1189.30140735080 }, { 0.00000002179, 2.34134327887, 1402.60050278880 }, { 0.00000002350, 1.69866882623, 275.55052103310 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_NEPTUNE[] = -{ +constexpr array g_VSOP87_A2_NEPTUNE +{ { { 0.00003493966, 5.10707633632, 484.44438245600 }, { 0.00003503585, 1.18344352637, 498.67147645760 }, { 0.00002282135, 6.09486118766, 1021.24889455140 }, @@ -1779,10 +1789,10 @@ const VSOP87Coefficient g_VSOP87_A2_NEPTUNE[] = { 0.00000002234, 0.87338531461, 512.89857045920 }, { 0.00000002895, 2.05957820220, 164.12035953630 }, { 0.00000002506, 5.79450258240, 481.26298871830 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A3_NEPTUNE[] = -{ +constexpr array g_VSOP87_A3_NEPTUNE +{ { { 0.00000481382, 0.54978896704, 484.44438245600 }, { 0.00000481827, 5.74642070789, 498.67147645760 }, { 0.00000292132, 2.86304883634, 182.27960680100 }, @@ -1828,10 +1838,10 @@ const VSOP87Coefficient g_VSOP87_A3_NEPTUNE[] = { 0.00000002544, 3.87101371906, 594.65070367540 }, { 0.00000002269, 5.80115234676, 485.92885516430 }, { 0.00000002172, 3.38118614602, 2.96894541660 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A4_NEPTUNE[] = -{ +constexpr array g_VSOP87_A4_NEPTUNE +{ { { 0.00000049674, 2.30255341502, 484.44438245600 }, { 0.00000049601, 4.00312092905, 498.67147645760 }, { 0.00000030480, 1.10905461472, 182.27960680100 }, @@ -1846,18 +1856,18 @@ const VSOP87Coefficient g_VSOP87_A4_NEPTUNE[] = { 0.00000002536, 5.80122518791, 160.93896579860 }, { 0.00000002435, 5.11981578252, 381.35160823740 }, { 0.00000002758, 5.96918316904, 388.46515523820 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A5_NEPTUNE[] = -{ +constexpr array g_VSOP87_A5_NEPTUNE +{ { { 0.00000003829, 4.20430497920, 484.44438245600 }, { 0.00000003776, 2.11088478470, 498.67147645760 }, { 0.00000002308, 5.62874506338, 182.27960680100 }, { 0.00000002188, 1.11125873543, 168.05251279940 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_NEPTUNE[] = -{ +constexpr array g_VSOP87_L0_NEPTUNE +{ { { 5.31188628676, 0.00000000000, 0.00000000000 }, { 0.01017628072, 0.48586478491, 1.48447270830 }, { 0.00441710236, 0.00020868462, 491.55792945680 }, @@ -2955,10 +2965,10 @@ const VSOP87Coefficient g_VSOP87_L0_NEPTUNE[] = { 0.00000000082, 5.41075437199, 392.08849196060 }, { 0.00000000095, 4.73214379241, 108.98248094200 }, { 0.00000000099, 4.76624768860, 161.72086309130 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_NEPTUNE[] = -{ +constexpr array g_VSOP87_L1_NEPTUNE +{ { { 38.13303563780, 0.00000000000, 0.00000000000 }, { 0.00016569412, 4.86311838543, 1.48447270830 }, { 0.00001295022, 3.67289349677, 2.96894541660 }, @@ -3420,10 +3430,10 @@ const VSOP87Coefficient g_VSOP87_L1_NEPTUNE[] = { 0.00000000088, 0.33899786983, 528.20649238630 }, { 0.00000000095, 1.19688355933, 526.98265210890 }, { 0.00000000099, 3.69292921873, 140.00196957900 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_NEPTUNE[] = -{ +constexpr array g_VSOP87_L2_NEPTUNE +{ { { 0.00000294794, 1.85515077260, 1.48447270830 }, { 0.00000104572, 5.89577229482, 498.67147645760 }, { 0.00000103983, 3.53641834575, 484.44438245600 }, @@ -3593,10 +3603,10 @@ const VSOP87Coefficient g_VSOP87_L2_NEPTUNE[] = { 0.00000000071, 1.07369942793, 913.96333463880 }, { 0.00000000098, 4.33741589402, 1052.26838318840 }, { 0.00000000076, 2.92708454987, 535.32003938710 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_NEPTUNE[] = -{ +constexpr array g_VSOP87_L3_NEPTUNE +{ { { 0.00000014390, 4.17547427429, 498.67147645760 }, { 0.00000014326, 5.26238340741, 484.44438245600 }, { 0.00000012434, 6.04427218975, 1.48447270830 }, @@ -3642,10 +3652,10 @@ const VSOP87Coefficient g_VSOP87_L3_NEPTUNE[] = { 0.00000000080, 3.23644218035, 482.95990974770 }, { 0.00000000099, 2.51544584516, 220.41264243880 }, { 0.00000000086, 0.66151775647, 178.34745353790 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_NEPTUNE[] = -{ +constexpr array g_VSOP87_L4_NEPTUNE +{ { { 0.00000001480, 2.43204577915, 498.67147645760 }, { 0.00000001478, 0.73185691074, 484.44438245600 }, { 0.00000000790, 5.82378544119, 182.27960680100 }, @@ -3657,16 +3667,16 @@ const VSOP87Coefficient g_VSOP87_L4_NEPTUNE[] = { 0.00000000156, 5.75275839123, 189.39315380180 }, { 0.00000000096, 1.20843076337, 1021.24889455140 }, { 0.00000000117, 0.47056402582, 1014.13534755060 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_NEPTUNE[] = -{ +constexpr array g_VSOP87_L5_NEPTUNE +{ { { 0.00000000112, 0.53921643815, 498.67147645760 }, { 0.00000000113, 2.63497611923, 484.44438245600 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_NEPTUNE[] = -{ +constexpr array g_VSOP87_K0_NEPTUNE +{ { { 0.00599977571, 0.00000000000, 0.00000000000 }, { 0.00343810387, 0.59989432818, 529.69096509460 }, { 0.00136232980, 5.31190360139, 38.13303563780 }, @@ -4830,10 +4840,10 @@ const VSOP87Coefficient g_VSOP87_K0_NEPTUNE[] = { 0.00000000075, 4.39522108408, 285.76613989450 }, { 0.00000000077, 1.83186809332, 142.71028256470 }, { 0.00000000087, 4.56862698043, 600.27977796790 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_NEPTUNE[] = -{ +constexpr array g_VSOP87_K1_NEPTUNE +{ { { 0.00000840279, 0.10697001844, 1059.38193018920 }, { 0.00000871304, 0.00000000000, 0.00000000000 }, { 0.00000501998, 4.27012433297, 426.59819087600 }, @@ -5328,10 +5338,10 @@ const VSOP87Coefficient g_VSOP87_K1_NEPTUNE[] = { 0.00000000072, 5.90746143240, 1226.16241860140 }, { 0.00000000076, 1.43082654712, 501.59223776440 }, { 0.00000000094, 5.78476984982, 10175.15251057320 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_NEPTUNE[] = -{ +constexpr array g_VSOP87_K2_NEPTUNE +{ { { 0.00000119902, 3.14159265359, 0.00000000000 }, { 0.00000081413, 0.21199462465, 536.80451209540 }, { 0.00000081016, 4.13651930081, 522.57741809380 }, @@ -5524,10 +5534,10 @@ const VSOP87Coefficient g_VSOP87_K2_NEPTUNE[] = { 0.00000000084, 0.94609583027, 1550.93985964600 }, { 0.00000000099, 0.51848933414, 662.53120356300 }, { 0.00000000071, 3.35968456664, 234.63973644040 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_NEPTUNE[] = -{ +constexpr array g_VSOP87_K3_NEPTUNE +{ { { 0.00000011195, 4.77473729651, 536.80451209540 }, { 0.00000011161, 5.86225357415, 522.57741809380 }, { 0.00000006226, 1.89096808297, 220.41264243880 }, @@ -5575,10 +5585,10 @@ const VSOP87Coefficient g_VSOP87_K3_NEPTUNE[] = { 0.00000000100, 1.99200549067, 570.74476203920 }, { 0.00000000105, 4.56560328496, 60.76695288680 }, { 0.00000000074, 4.80078680817, 2118.76386037840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_NEPTUNE[] = -{ +constexpr array g_VSOP87_K4_NEPTUNE +{ { { 0.00000001152, 1.33231530600, 522.57741809380 }, { 0.00000001152, 3.03044694984, 536.80451209540 }, { 0.00000000647, 0.13739121290, 220.41264243880 }, @@ -5595,16 +5605,16 @@ const VSOP87Coefficient g_VSOP87_K4_NEPTUNE[] = { 0.00000000080, 1.07686382047, 357.44566660120 }, { 0.00000000077, 3.37577795744, 439.19779981740 }, { 0.00000000073, 1.80267988768, 1059.38193018920 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K5_NEPTUNE[] = -{ +constexpr array g_VSOP87_K5_NEPTUNE +{ { { 0.00000000089, 3.23427770926, 522.57741809380 }, { 0.00000000088, 1.13898430781, 536.80451209540 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_NEPTUNE[] = -{ +constexpr array g_VSOP87_H0_NEPTUNE +{ { { 0.00669242413, 0.00000000000, 0.00000000000 }, { 0.00344034784, 5.31201105782, 529.69096509460 }, { 0.00136278888, 3.74103613444, 38.13303563780 }, @@ -6766,10 +6776,10 @@ const VSOP87Coefficient g_VSOP87_H0_NEPTUNE[] = { 0.00000000100, 5.64282283335, 699.29164107710 }, { 0.00000000089, 0.04149950402, 94.75538694040 }, { 0.00000000081, 5.96377417718, 288.29314232640 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_NEPTUNE[] = -{ +constexpr array g_VSOP87_H1_NEPTUNE +{ { { 0.00007824336, 0.00000000000, 0.00000000000 }, { 0.00000841054, 4.81874683539, 1059.38193018920 }, { 0.00000501326, 2.69965727448, 426.59819087600 }, @@ -7263,10 +7273,10 @@ const VSOP87Coefficient g_VSOP87_H1_NEPTUNE[] = { 0.00000000074, 1.28535689087, 353.51351333810 }, { 0.00000000081, 1.30551879255, 10213.28554621100 }, { 0.00000000085, 1.49370331781, 186.21176006410 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_NEPTUNE[] = -{ +constexpr array g_VSOP87_H2_NEPTUNE +{ { { 0.00000081488, 4.92419126709, 536.80451209540 }, { 0.00000080988, 2.56467121885, 522.57741809380 }, { 0.00000080801, 0.00000000000, 0.00000000000 }, @@ -7457,10 +7467,10 @@ const VSOP87Coefficient g_VSOP87_H2_NEPTUNE[] = { 0.00000000077, 3.46075964434, 41.10198105440 }, { 0.00000000073, 0.41101129429, 57.84619158000 }, { 0.00000000096, 4.33114744512, 62.03897727400 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_NEPTUNE[] = -{ +constexpr array g_VSOP87_H3_NEPTUNE +{ { { 0.00000011207, 3.20391641812, 536.80451209540 }, { 0.00000011159, 4.29095714390, 522.57741809380 }, { 0.00000006208, 0.32172003077, 220.41264243880 }, @@ -7509,10 +7519,10 @@ const VSOP87Coefficient g_VSOP87_H3_NEPTUNE[] = { 0.00000000105, 6.13636804737, 60.76695288680 }, { 0.00000000085, 3.47968333946, 570.74476203920 }, { 0.00000000074, 3.22958817861, 2118.76386037840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_NEPTUNE[] = -{ +constexpr array g_VSOP87_H4_NEPTUNE +{ { { 0.00000001153, 1.45998777249, 536.80451209540 }, { 0.00000001152, 6.04417283937, 522.57741809380 }, { 0.00000000644, 4.85279001731, 220.41264243880 }, @@ -7529,16 +7539,16 @@ const VSOP87Coefficient g_VSOP87_H4_NEPTUNE[] = { 0.00000000080, 2.64762070263, 357.44566660120 }, { 0.00000000077, 4.94653753799, 439.19779981740 }, { 0.00000000073, 0.23841464846, 1059.38193018920 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H5_NEPTUNE[] = -{ +constexpr array g_VSOP87_H5_NEPTUNE +{ { { 0.00000000089, 1.66512374486, 522.57741809380 }, { 0.00000000088, 5.85453950365, 536.80451209540 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_NEPTUNE[] = -{ +constexpr array g_VSOP87_Q0_NEPTUNE +{ { { 0.01029147819, 3.14159265359, 0.00000000000 }, { 0.00001010070, 1.61174508752, 491.55792945680 }, { 0.00000874114, 5.95211630725, 567.82400073240 }, @@ -7753,10 +7763,10 @@ const VSOP87Coefficient g_VSOP87_Q0_NEPTUNE[] = { 0.00000000073, 0.78854183549, 487.36514376280 }, { 0.00000000083, 0.35317158218, 138.51749687070 }, { 0.00000000071, 0.52348616754, 365.00115658670 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_NEPTUNE[] = -{ +constexpr array g_VSOP87_Q1_NEPTUNE +{ { { 0.00000072727, 3.14159265359, 0.00000000000 }, { 0.00000049938, 4.01961279797, 491.55792945680 }, { 0.00000043229, 2.07647677274, 567.82400073240 }, @@ -7826,10 +7836,10 @@ const VSOP87Coefficient g_VSOP87_Q1_NEPTUNE[] = { 0.00000000087, 1.39157968343, 678.03032195180 }, { 0.00000000076, 4.75256824702, 148.07872442630 }, { 0.00000000075, 0.56000306782, 108.46121608020 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_NEPTUNE[] = -{ +constexpr array g_VSOP87_Q2_NEPTUNE +{ { { 0.00000006568, 3.14159265359, 0.00000000000 }, { 0.00000003366, 5.63805530059, 491.55792945680 }, { 0.00000002913, 3.69512101666, 567.82400073240 }, @@ -7847,18 +7857,18 @@ const VSOP87Coefficient g_VSOP87_Q2_NEPTUNE[] = { 0.00000000109, 3.64776068387, 182.27960680100 }, { 0.00000000084, 2.09604606056, 76.26607127560 }, { 0.00000000094, 1.06525818713, 464.73122651380 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_NEPTUNE[] = -{ +constexpr array g_VSOP87_Q3_NEPTUNE +{ { { 0.00000001668, 0.00000000000, 0.00000000000 }, { 0.00000000112, 1.05781353967, 491.55792945680 }, { 0.00000000097, 5.39814587459, 567.82400073240 }, { 0.00000000074, 4.25080726945, 175.16605980020 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_NEPTUNE[] = -{ +constexpr array g_VSOP87_P0_NEPTUNE +{ { { 0.01151683985, 0.00000000000, 0.00000000000 }, { 0.00001009343, 3.18233913691, 491.55792945680 }, { 0.00000874092, 4.38157781700, 567.82400073240 }, @@ -8069,10 +8079,10 @@ const VSOP87Coefficient g_VSOP87_P0_NEPTUNE[] = { 0.00000000102, 1.80240938751, 456.39383923560 }, { 0.00000000081, 1.51525627178, 46.20979048510 }, { 0.00000000090, 5.77210865729, 602.98809095360 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_NEPTUNE[] = -{ +constexpr array g_VSOP87_P1_NEPTUNE +{ { { 0.00002575536, 0.00000000000, 0.00000000000 }, { 0.00000049931, 5.58956815129, 491.55792945680 }, { 0.00000043229, 0.50592918283, 567.82400073240 }, @@ -8144,10 +8154,10 @@ const VSOP87Coefficient g_VSOP87_P1_NEPTUNE[] = { 0.00000000087, 6.10422442369, 678.03032195180 }, { 0.00000000077, 3.46615421630, 525.49817940060 }, { 0.00000000078, 3.04682223934, 148.07872442630 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_NEPTUNE[] = -{ +constexpr array g_VSOP87_P2_NEPTUNE +{ { { 0.00000019377, 0.00000000000, 0.00000000000 }, { 0.00000003366, 0.92600372203, 491.55792945680 }, { 0.00000002912, 2.12458174427, 567.82400073240 }, @@ -8165,102 +8175,101 @@ const VSOP87Coefficient g_VSOP87_P2_NEPTUNE[] = { 0.00000000109, 5.21829778138, 182.27960680100 }, { 0.00000000084, 0.52550673415, 76.26607127560 }, { 0.00000000094, 5.77790538380, 464.73122651380 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_NEPTUNE[] = -{ +constexpr array g_VSOP87_P3_NEPTUNE +{ { { 0.00000001331, 0.00000000000, 0.00000000000 }, { 0.00000000112, 2.62835519614, 491.55792945680 }, { 0.00000000097, 3.82760549653, 567.82400073240 }, { 0.00000000074, 5.82134710782, 175.16605980020 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_NEPTUNE[] = -{ - { g_VSOP87_A0_NEPTUNE, sizeof(g_VSOP87_A0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_NEPTUNE, sizeof(g_VSOP87_A1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_NEPTUNE, sizeof(g_VSOP87_A2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A3_NEPTUNE, sizeof(g_VSOP87_A3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A4_NEPTUNE, sizeof(g_VSOP87_A4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A5_NEPTUNE, sizeof(g_VSOP87_A5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_NEPTUNE +{ { + { g_VSOP87_A0_NEPTUNE.data(), g_VSOP87_A0_NEPTUNE.size() }, + { g_VSOP87_A1_NEPTUNE.data(), g_VSOP87_A1_NEPTUNE.size() }, + { g_VSOP87_A2_NEPTUNE.data(), g_VSOP87_A2_NEPTUNE.size() }, + { g_VSOP87_A3_NEPTUNE.data(), g_VSOP87_A3_NEPTUNE.size() }, + { g_VSOP87_A4_NEPTUNE.data(), g_VSOP87_A4_NEPTUNE.size() }, + { g_VSOP87_A5_NEPTUNE.data(), g_VSOP87_A5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_NEPTUNE[] = -{ - { g_VSOP87_L0_NEPTUNE, sizeof(g_VSOP87_L0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_NEPTUNE, sizeof(g_VSOP87_L1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_NEPTUNE, sizeof(g_VSOP87_L2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_NEPTUNE, sizeof(g_VSOP87_L3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_NEPTUNE, sizeof(g_VSOP87_L4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_NEPTUNE, sizeof(g_VSOP87_L5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_NEPTUNE +{ { + { g_VSOP87_L0_NEPTUNE.data(), g_VSOP87_L0_NEPTUNE.size() }, + { g_VSOP87_L1_NEPTUNE.data(), g_VSOP87_L1_NEPTUNE.size() }, + { g_VSOP87_L2_NEPTUNE.data(), g_VSOP87_L2_NEPTUNE.size() }, + { g_VSOP87_L3_NEPTUNE.data(), g_VSOP87_L3_NEPTUNE.size() }, + { g_VSOP87_L4_NEPTUNE.data(), g_VSOP87_L4_NEPTUNE.size() }, + { g_VSOP87_L5_NEPTUNE.data(), g_VSOP87_L5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_NEPTUNE[] = -{ - { g_VSOP87_K0_NEPTUNE, sizeof(g_VSOP87_K0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_NEPTUNE, sizeof(g_VSOP87_K1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_NEPTUNE, sizeof(g_VSOP87_K2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_NEPTUNE, sizeof(g_VSOP87_K3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_NEPTUNE, sizeof(g_VSOP87_K4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K5_NEPTUNE, sizeof(g_VSOP87_K5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_NEPTUNE +{ { + { g_VSOP87_K0_NEPTUNE.data(), g_VSOP87_K0_NEPTUNE.size() }, + { g_VSOP87_K1_NEPTUNE.data(), g_VSOP87_K1_NEPTUNE.size() }, + { g_VSOP87_K2_NEPTUNE.data(), g_VSOP87_K2_NEPTUNE.size() }, + { g_VSOP87_K3_NEPTUNE.data(), g_VSOP87_K3_NEPTUNE.size() }, + { g_VSOP87_K4_NEPTUNE.data(), g_VSOP87_K4_NEPTUNE.size() }, + { g_VSOP87_K5_NEPTUNE.data(), g_VSOP87_K5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_NEPTUNE[] = -{ - { g_VSOP87_H0_NEPTUNE, sizeof(g_VSOP87_H0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_NEPTUNE, sizeof(g_VSOP87_H1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_NEPTUNE, sizeof(g_VSOP87_H2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_NEPTUNE, sizeof(g_VSOP87_H3_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_NEPTUNE, sizeof(g_VSOP87_H4_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H5_NEPTUNE, sizeof(g_VSOP87_H5_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_NEPTUNE +{ { + { g_VSOP87_H0_NEPTUNE.data(), g_VSOP87_H0_NEPTUNE.size() }, + { g_VSOP87_H1_NEPTUNE.data(), g_VSOP87_H1_NEPTUNE.size() }, + { g_VSOP87_H2_NEPTUNE.data(), g_VSOP87_H2_NEPTUNE.size() }, + { g_VSOP87_H3_NEPTUNE.data(), g_VSOP87_H3_NEPTUNE.size() }, + { g_VSOP87_H4_NEPTUNE.data(), g_VSOP87_H4_NEPTUNE.size() }, + { g_VSOP87_H5_NEPTUNE.data(), g_VSOP87_H5_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_NEPTUNE[] = -{ - { g_VSOP87_Q0_NEPTUNE, sizeof(g_VSOP87_Q0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_NEPTUNE, sizeof(g_VSOP87_Q1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_NEPTUNE, sizeof(g_VSOP87_Q2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_NEPTUNE, sizeof(g_VSOP87_Q3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_NEPTUNE +{ { + { g_VSOP87_Q0_NEPTUNE.data(), g_VSOP87_Q0_NEPTUNE.size() }, + { g_VSOP87_Q1_NEPTUNE.data(), g_VSOP87_Q1_NEPTUNE.size() }, + { g_VSOP87_Q2_NEPTUNE.data(), g_VSOP87_Q2_NEPTUNE.size() }, + { g_VSOP87_Q3_NEPTUNE.data(), g_VSOP87_Q3_NEPTUNE.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_NEPTUNE[] = -{ - { g_VSOP87_P0_NEPTUNE, sizeof(g_VSOP87_P0_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_NEPTUNE, sizeof(g_VSOP87_P1_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_NEPTUNE, sizeof(g_VSOP87_P2_NEPTUNE)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_NEPTUNE, sizeof(g_VSOP87_P3_NEPTUNE)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_NEPTUNE +{ { + { g_VSOP87_P0_NEPTUNE.data(), g_VSOP87_P0_NEPTUNE.size() }, + { g_VSOP87_P1_NEPTUNE.data(), g_VSOP87_P1_NEPTUNE.size() }, + { g_VSOP87_P2_NEPTUNE.data(), g_VSOP87_P2_NEPTUNE.size() }, + { g_VSOP87_P3_NEPTUNE.data(), g_VSOP87_P3_NEPTUNE.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Neptune::A(double JD) +double CAAVSOP87_Neptune::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_NEPTUNE, sizeof(g_VSOP87_A_NEPTUNE)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_NEPTUNE.data(), g_VSOP87_A_NEPTUNE.size(), false); } -double CAAVSOP87_Neptune::L(double JD) +double CAAVSOP87_Neptune::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_NEPTUNE, sizeof(g_VSOP87_L_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_NEPTUNE.data(), g_VSOP87_L_NEPTUNE.size(), true); } -double CAAVSOP87_Neptune::K(double JD) +double CAAVSOP87_Neptune::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_NEPTUNE, sizeof(g_VSOP87_K_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_NEPTUNE.data(), g_VSOP87_K_NEPTUNE.size(), false); } -double CAAVSOP87_Neptune::H(double JD) +double CAAVSOP87_Neptune::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_NEPTUNE, sizeof(g_VSOP87_H_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_NEPTUNE.data(), g_VSOP87_H_NEPTUNE.size(), false); } -double CAAVSOP87_Neptune::Q(double JD) +double CAAVSOP87_Neptune::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_NEPTUNE, sizeof(g_VSOP87_Q_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_NEPTUNE.data(), g_VSOP87_Q_NEPTUNE.size(), false); } -double CAAVSOP87_Neptune::P(double JD) +double CAAVSOP87_Neptune::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_NEPTUNE, sizeof(g_VSOP87_P_NEPTUNE)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_NEPTUNE.data(), g_VSOP87_P_NEPTUNE.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_NEP.h b/Sources/AAPlus/include/AAVSOP87_NEP.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_NEP.h rename to Sources/AAPlus/include/AAVSOP87_NEP.h index 05c450b..207bd67 --- a/Vendor/AA+/1.6.3/AAVSOP87_NEP.h +++ b/Sources/AAPlus/include/AAVSOP87_NEP.h @@ -2,9 +2,8 @@ Module : AAVSOP87_NEP.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Neptune { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_SAT.h b/Sources/AAPlus/include/AAVSOP87_SAT.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_SAT.h rename to Sources/AAPlus/include/AAVSOP87_SAT.h index 7e63be9..1b6470b --- a/Vendor/AA+/1.6.3/AAVSOP87_SAT.h +++ b/Sources/AAPlus/include/AAVSOP87_SAT.h @@ -2,9 +2,8 @@ Module : AAVSOP87_SAT.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Saturn { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_URA.cpp b/Sources/AAPlus/include/AAVSOP87_URA.cpp old mode 100755 new mode 100644 similarity index 98% rename from Vendor/AA+/1.6.3/AAVSOP87_URA.cpp rename to Sources/AAPlus/include/AAVSOP87_URA.cpp index 7314c72..482dfd8 --- a/Vendor/AA+/1.6.3/AAVSOP87_URA.cpp +++ b/Sources/AAPlus/include/AAVSOP87_URA.cpp @@ -3,8 +3,13 @@ Module : AAVSOP87_URA.cpp Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 History: PJN / 13-09-2015 1. Initial public release. + PJN / 22-04-2020 1. Reworked C arrays to use std::array. + PJN / 10-01-2021 1. Reworked the K, H, Q and P methods to pass false for bAngle to CAAVSOP87::Calculate. + These values are not angular values in the true sense of the word and by passing + false, the values returned are now in exact agreement with the vsop87.chk test + values. Thanks to Cao Yu for reporting this issue. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -25,13 +30,18 @@ to maintain a single distribution point for the source code. #include "AAVSOP87.h" #include "AAVSOP87_URA.h" #include +#include using namespace std; ////////////////////////////// Macros / Defines /////////////////////////////// -const VSOP87Coefficient g_VSOP87_A0_URANUS[] = -{ +#ifdef _MSC_VER +#pragma warning(disable : 26485) +#endif //#ifdef _MSC_VER + +constexpr array g_VSOP87_A0_URANUS +{ { { 19.21844606178, 0.00000000000, 0.00000000000 }, { 0.08030476240, 1.40140954803, 454.90936652730 }, { 0.02068375131, 1.67626096637, 138.51749687070 }, @@ -2079,10 +2089,10 @@ const VSOP87Coefficient g_VSOP87_A0_URANUS[] = { 0.00000001474, 5.07310118619, 380.17595206980 }, { 0.00000001934, 1.80479545208, 6061.69999970610 }, { 0.00000001508, 2.54727643115, 882.99203011160 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A1_URANUS[] = -{ +constexpr array g_VSOP87_A1_URANUS +{ { { 0.00018892174, 5.14166599806, 11.04570026390 }, { 0.00018428974, 0.90876002089, 984.60033162190 }, { 0.00012155731, 5.07129450662, 351.81659230870 }, @@ -2983,10 +2993,10 @@ const VSOP87Coefficient g_VSOP87_A1_URANUS[] = { 0.00000001779, 3.69295524043, 89.75945209430 }, { 0.00000001373, 3.95041684094, 734.23198212910 }, { 0.00000001463, 4.45828542478, 439.19779981740 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A2_URANUS[] = -{ +constexpr array g_VSOP87_A2_URANUS +{ { { 0.00001894669, 4.93732568520, 447.79581952650 }, { 0.00001897156, 1.01368771445, 462.02291352810 }, { 0.00001198486, 5.92364914461, 984.60033162190 }, @@ -3330,10 +3340,10 @@ const VSOP87Coefficient g_VSOP87_A2_URANUS[] = { 0.00000001366, 2.61346126507, 579.34278174830 }, { 0.00000001393, 2.60275651431, 990.22940591440 }, { 0.00000001362, 5.56379113643, 192.69216761850 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A3_URANUS[] = -{ +constexpr array g_VSOP87_A3_URANUS +{ { { 0.00000261037, 0.37996433897, 447.79581952650 }, { 0.00000260917, 5.57624583446, 462.02291352810 }, { 0.00000167973, 2.69360050805, 145.63104387150 }, @@ -3431,10 +3441,10 @@ const VSOP87Coefficient g_VSOP87_A3_URANUS[] = { 0.00000001430, 5.02620820266, 309.27832265580 }, { 0.00000001443, 4.72244282989, 147.11551657980 }, { 0.00000001361, 0.26726148208, 497.44763618020 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A4_URANUS[] = -{ +constexpr array g_VSOP87_A4_URANUS +{ { { 0.00000026958, 2.13274803447, 447.79581952650 }, { 0.00000026882, 3.83194362575, 462.02291352810 }, { 0.00000017545, 0.93931482760, 145.63104387150 }, @@ -3453,16 +3463,16 @@ const VSOP87Coefficient g_VSOP87_A4_URANUS[] = { 0.00000001972, 1.87019970163, 977.48678462110 }, { 0.00000001452, 5.63005849469, 124.29040286910 }, { 0.00000001971, 3.04667964800, 18.15924726470 } -}; +} }; -const VSOP87Coefficient g_VSOP87_A5_URANUS[] = -{ +constexpr array g_VSOP87_A5_URANUS +{ { { 0.00000002076, 4.03483626633, 447.79581952650 }, { 0.00000002047, 1.94014137853, 462.02291352810 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L0_URANUS[] = -{ +constexpr array g_VSOP87_L0_URANUS +{ { { 5.48129387159, 0.00000000000, 0.00000000000 }, { 0.01503941337, 3.62721239702, 1.48447270830 }, { 0.00341045477, 6.11377091373, 454.90936652730 }, @@ -5510,10 +5520,10 @@ const VSOP87Coefficient g_VSOP87_L0_URANUS[] = { 0.00000000097, 5.55600837837, 1238.05945212720 }, { 0.00000000100, 6.27212996654, 198.10879358990 }, { 0.00000000091, 1.47081085601, 195.40048060420 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L1_URANUS[] = -{ +constexpr array g_VSOP87_L1_URANUS +{ { { 74.78159856730, 0.00000000000, 0.00000000000 }, { 0.00024451511, 1.71261369505, 1.48447270830 }, { 0.00008935001, 0.42318902886, 11.04570026390 }, @@ -6537,10 +6547,10 @@ const VSOP87Coefficient g_VSOP87_L1_URANUS[] = { 0.00000000092, 1.61147652123, 548.65336151140 }, { 0.00000000078, 3.23555778540, 519.60847267720 }, { 0.00000000078, 4.31973486382, 2206.87878107000 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L2_URANUS[] = -{ +constexpr array g_VSOP87_L2_URANUS +{ { { 0.00000848828, 3.14159265359, 0.00000000000 }, { 0.00000743590, 4.51956646459, 11.04570026390 }, { 0.00000538678, 2.27508652773, 3.93215326310 }, @@ -6939,10 +6949,10 @@ const VSOP87Coefficient g_VSOP87_L2_URANUS[] = { 0.00000000079, 3.16222883556, 123.53964334370 }, { 0.00000000074, 2.57500040257, 95.97922721780 }, { 0.00000000092, 5.28130944588, 110.20632121940 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L3_URANUS[] = -{ +constexpr array g_VSOP87_L3_URANUS +{ { { 0.00000067786, 4.12112498633, 3.93215326310 }, { 0.00000051024, 2.38236167801, 11.04570026390 }, { 0.00000043548, 2.95933906539, 1.48447270830 }, @@ -7067,10 +7077,10 @@ const VSOP87Coefficient g_VSOP87_L3_URANUS[] = { 0.00000000093, 1.13341564636, 329.72519178090 }, { 0.00000000074, 5.45418243822, 305.34616939270 }, { 0.00000000071, 1.21735565618, 95.97922721780 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L4_URANUS[] = -{ +constexpr array g_VSOP87_L4_URANUS +{ { { 0.00000003182, 0.34429889987, 11.04570026390 }, { 0.00000001144, 2.26077352925, 462.02291352810 }, { 0.00000001142, 0.56180849143, 447.79581952650 }, @@ -7096,16 +7106,16 @@ const VSOP87Coefficient g_VSOP87_L4_URANUS[] = { 0.00000000075, 1.54218686960, 536.80451209540 }, { 0.00000000074, 1.03115885786, 984.60033162190 }, { 0.00000000075, 1.33099228348, 127.47179660680 } -}; +} }; -const VSOP87Coefficient g_VSOP87_L5_URANUS[] = -{ +constexpr array g_VSOP87_L5_URANUS +{ { { 0.00000000090, 0.37002815970, 462.02291352810 }, { 0.00000000090, 2.47439225640, 447.79581952650 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K0_URANUS[] = -{ +constexpr array g_VSOP87_K0_URANUS +{ { { 0.04595132376, 3.14159265359, 0.00000000000 }, { 0.00274532742, 0.59960944961, 529.69096509460 }, { 0.00209611522, 1.99913587697, 1.48447270830 }, @@ -9153,10 +9163,10 @@ const VSOP87Coefficient g_VSOP87_K0_URANUS[] = { 0.00000000091, 1.89339630804, 1461.44103998260 }, { 0.00000000093, 1.01713232869, 52.14768131830 }, { 0.00000000087, 3.77099368269, 736.67966268390 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K1_URANUS[] = -{ +constexpr array g_VSOP87_K1_URANUS +{ { { 0.00018344115, 0.00000000000, 0.00000000000 }, { 0.00002974032, 2.44820580252, 11.04570026390 }, { 0.00000670635, 0.10669800483, 1059.38193018920 }, @@ -10124,10 +10134,10 @@ const VSOP87Coefficient g_VSOP87_K1_URANUS[] = { 0.00000000095, 1.91330918353, 820.81004048570 }, { 0.00000000081, 1.70628599121, 325.79303851780 }, { 0.00000000083, 3.72707218175, 1011.26697587050 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K2_URANUS[] = -{ +constexpr array g_VSOP87_K2_URANUS +{ { { 0.00000201635, 0.69743240058, 11.04570026390 }, { 0.00000071103, 4.00681435420, 3.93215326310 }, { 0.00000065001, 0.21171806868, 536.80451209540 }, @@ -10498,10 +10508,10 @@ const VSOP87Coefficient g_VSOP87_K2_URANUS[] = { 0.00000000074, 0.66989666171, 1164.76232626820 }, { 0.00000000075, 1.93232639415, 41.10198105440 }, { 0.00000000071, 4.43407335571, 508.35032409220 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K3_URANUS[] = -{ +constexpr array g_VSOP87_K3_URANUS +{ { { 0.00000045396, 3.14159265359, 0.00000000000 }, { 0.00000009247, 5.37755539747, 11.04570026390 }, { 0.00000008914, 5.86205152873, 522.57741809380 }, @@ -10608,10 +10618,10 @@ const VSOP87Coefficient g_VSOP87_K3_URANUS[] = { 0.00000000091, 0.00474331386, 454.90936652730 }, { 0.00000000073, 4.53268846458, 230.56457082540 }, { 0.00000000072, 1.83399008232, 63.73589830340 } -}; +} }; -const VSOP87Coefficient g_VSOP87_K4_URANUS[] = -{ +constexpr array g_VSOP87_K4_URANUS +{ { { 0.00000002185, 0.00000000000, 0.00000000000 }, { 0.00000000920, 1.33232796727, 522.57741809380 }, { 0.00000000918, 3.02992668797, 536.80451209540 }, @@ -10633,10 +10643,10 @@ const VSOP87Coefficient g_VSOP87_K4_URANUS[] = { 0.00000000093, 3.73581285547, 120.35824960600 }, { 0.00000000079, 0.73901245103, 284.14854074220 }, { 0.00000000074, 3.04419026190, 365.90067395840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H0_URANUS[] = -{ +constexpr array g_VSOP87_H0_URANUS +{ { { 0.00563791307, 0.00000000000, 0.00000000000 }, { 0.00274676149, 5.31178834743, 529.69096509460 }, { 0.00210407426, 0.42744224313, 1.48447270830 }, @@ -12684,10 +12694,10 @@ const VSOP87Coefficient g_VSOP87_H0_URANUS[] = { 0.00000000085, 0.47797943645, 1353.68239931800 }, { 0.00000000103, 3.54208179407, 330.68839962740 }, { 0.00000000090, 3.83880843886, 654.12438031560 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H1_URANUS[] = -{ +constexpr array g_VSOP87_H1_URANUS +{ { { 0.00074964350, 3.14159265359, 0.00000000000 }, { 0.00002977624, 0.88815201141, 11.04570026390 }, { 0.00000671351, 4.81869030034, 1059.38193018920 }, @@ -13651,10 +13661,10 @@ const VSOP87Coefficient g_VSOP87_H1_URANUS[] = { 0.00000000091, 2.75461431221, 913.75088631770 }, { 0.00000000080, 0.38124453841, 1060.86640289750 }, { 0.00000000095, 3.48355058265, 820.81004048570 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H2_URANUS[] = -{ +constexpr array g_VSOP87_H2_URANUS +{ { { 0.00001210200, 0.00000000000, 0.00000000000 }, { 0.00000204698, 5.42673320264, 11.04570026390 }, { 0.00000070575, 2.43929806032, 3.93215326310 }, @@ -14032,10 +14042,10 @@ const VSOP87Coefficient g_VSOP87_H2_URANUS[] = { 0.00000000095, 2.27888224483, 223.45102382460 }, { 0.00000000072, 2.44698191459, 124.29040286910 }, { 0.00000000074, 2.50880324129, 469.13646052890 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H3_URANUS[] = -{ +constexpr array g_VSOP87_H3_URANUS +{ { { 0.00000042088, 3.14159265359, 0.00000000000 }, { 0.00000009846, 3.82543830949, 11.04570026390 }, { 0.00000008944, 3.20377478353, 536.80451209540 }, @@ -14141,10 +14151,10 @@ const VSOP87Coefficient g_VSOP87_H3_URANUS[] = { 0.00000000073, 2.61172742451, 415.55249061210 }, { 0.00000000084, 0.46845305819, 60.55450456570 }, { 0.00000000078, 0.09663741777, 384.05992122310 } -}; +} }; -const VSOP87Coefficient g_VSOP87_H4_URANUS[] = -{ +constexpr array g_VSOP87_H4_URANUS +{ { { 0.00000001714, 3.14159265359, 0.00000000000 }, { 0.00000000920, 6.04415314150, 522.57741809380 }, { 0.00000000919, 1.46065611587, 536.80451209540 }, @@ -14166,10 +14176,10 @@ const VSOP87Coefficient g_VSOP87_H4_URANUS[] = { 0.00000000090, 5.39080855761, 120.35824960600 }, { 0.00000000079, 2.31004497096, 284.14854074220 }, { 0.00000000074, 4.61523874317, 365.90067395840 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q0_URANUS[] = -{ +constexpr array g_VSOP87_Q0_URANUS +{ { { 0.00185915075, 0.00000000000, 0.00000000000 }, { 0.00000664212, 3.89842154835, 11.04570026390 }, { 0.00000636225, 5.41465969170, 454.90936652730 }, @@ -14573,10 +14583,10 @@ const VSOP87Coefficient g_VSOP87_Q0_URANUS[] = { 0.00000000073, 1.95720394109, 25938.33994443960 }, { 0.00000000072, 1.87155511325, 927.97798031930 }, { 0.00000000072, 5.27717421020, 26237.46633870879 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q1_URANUS[] = -{ +constexpr array g_VSOP87_Q1_URANUS +{ { { 0.00012449382, 3.14159265359, 0.00000000000 }, { 0.00000041763, 5.75946839525, 11.04570026390 }, { 0.00000029498, 1.11555438562, 138.51749687070 }, @@ -14717,10 +14727,10 @@ const VSOP87Coefficient g_VSOP87_Q1_URANUS[] = { 0.00000000074, 1.80216991193, 184.72728735580 }, { 0.00000000075, 4.71185257113, 289.56516671360 }, { 0.00000000085, 0.59633583138, 273.10284047830 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q2_URANUS[] = -{ +constexpr array g_VSOP87_Q2_URANUS +{ { { 0.00000207373, 3.14159265359, 0.00000000000 }, { 0.00000002386, 5.38359910263, 454.90936652730 }, { 0.00000002173, 0.64215582797, 11.04570026390 }, @@ -14746,17 +14756,17 @@ const VSOP87Coefficient g_VSOP87_Q2_URANUS[] = { 0.00000000118, 2.70138596411, 447.79581952650 }, { 0.00000000087, 0.54165591461, 295.19424100610 }, { 0.00000000088, 1.09774837600, 597.35901666110 } -}; +} }; -const VSOP87Coefficient g_VSOP87_Q3_URANUS[] = -{ +constexpr array g_VSOP87_Q3_URANUS +{ { { 0.00000007621, 0.00000000000, 0.00000000000 }, { 0.00000000087, 0.87587606662, 454.90936652730 }, { 0.00000000077, 4.01396994538, 138.51749687070 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P0_URANUS[] = -{ +constexpr array g_VSOP87_P0_URANUS +{ { { 0.00648617008, 0.00000000000, 0.00000000000 }, { 0.00000655536, 2.38157894549, 11.04570026390 }, { 0.00000636893, 0.70928889340, 454.90936652730 }, @@ -15153,10 +15163,10 @@ const VSOP87Coefficient g_VSOP87_P0_URANUS[] = { 0.00000000073, 3.52811076614, 25938.33994443960 }, { 0.00000000072, 0.30060124433, 927.97798031930 }, { 0.00000000072, 3.70626755944, 26237.46633870879 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P1_URANUS[] = -{ +constexpr array g_VSOP87_P1_URANUS +{ { { 0.00011744733, 3.14159265359, 0.00000000000 }, { 0.00000035891, 4.22091056057, 11.04570026390 }, { 0.00000026395, 2.45823549673, 138.51749687070 }, @@ -15293,10 +15303,10 @@ const VSOP87Coefficient g_VSOP87_P1_URANUS[] = { 0.00000000078, 2.47147457370, 991.71387862270 }, { 0.00000000076, 1.82476804953, 905.88657979150 }, { 0.00000000076, 0.12287982218, 184.72728735580 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P2_URANUS[] = -{ +constexpr array g_VSOP87_P2_URANUS +{ { { 0.00000317799, 0.00000000000, 0.00000000000 }, { 0.00000002388, 0.67819375491, 454.90936652730 }, { 0.00000002384, 5.28854855836, 11.04570026390 }, @@ -15324,98 +15334,97 @@ const VSOP87Coefficient g_VSOP87_P2_URANUS[] = { 0.00000000087, 3.87165670093, 415.55249061210 }, { 0.00000000088, 5.80997967053, 597.35901666110 }, { 0.00000000076, 0.39118786534, 344.70304530790 } -}; +} }; -const VSOP87Coefficient g_VSOP87_P3_URANUS[] = -{ +constexpr array g_VSOP87_P3_URANUS +{ { { 0.00000007317, 0.00000000000, 0.00000000000 }, { 0.00000000087, 2.44679651454, 454.90936652730 } -}; +} }; -const VSOP87Coefficient2 g_VSOP87_A_URANUS[] = -{ - { g_VSOP87_A0_URANUS, sizeof(g_VSOP87_A0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A1_URANUS, sizeof(g_VSOP87_A1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A2_URANUS, sizeof(g_VSOP87_A2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A3_URANUS, sizeof(g_VSOP87_A3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A4_URANUS, sizeof(g_VSOP87_A4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_A5_URANUS, sizeof(g_VSOP87_A5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_A_URANUS +{ { + { g_VSOP87_A0_URANUS.data(), g_VSOP87_A0_URANUS.size() }, + { g_VSOP87_A1_URANUS.data(), g_VSOP87_A1_URANUS.size() }, + { g_VSOP87_A2_URANUS.data(), g_VSOP87_A2_URANUS.size() }, + { g_VSOP87_A3_URANUS.data(), g_VSOP87_A3_URANUS.size() }, + { g_VSOP87_A4_URANUS.data(), g_VSOP87_A4_URANUS.size() }, + { g_VSOP87_A5_URANUS.data(), g_VSOP87_A5_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_L_URANUS[] = -{ - { g_VSOP87_L0_URANUS, sizeof(g_VSOP87_L0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L1_URANUS, sizeof(g_VSOP87_L1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L2_URANUS, sizeof(g_VSOP87_L2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L3_URANUS, sizeof(g_VSOP87_L3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L4_URANUS, sizeof(g_VSOP87_L4_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_L5_URANUS, sizeof(g_VSOP87_L5_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_L_URANUS +{ { + { g_VSOP87_L0_URANUS.data(), g_VSOP87_L0_URANUS.size() }, + { g_VSOP87_L1_URANUS.data(), g_VSOP87_L1_URANUS.size() }, + { g_VSOP87_L2_URANUS.data(), g_VSOP87_L2_URANUS.size() }, + { g_VSOP87_L3_URANUS.data(), g_VSOP87_L3_URANUS.size() }, + { g_VSOP87_L4_URANUS.data(), g_VSOP87_L4_URANUS.size() }, + { g_VSOP87_L5_URANUS.data(), g_VSOP87_L5_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_K_URANUS[] = -{ - { g_VSOP87_K0_URANUS, sizeof(g_VSOP87_K0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K1_URANUS, sizeof(g_VSOP87_K1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K2_URANUS, sizeof(g_VSOP87_K2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K3_URANUS, sizeof(g_VSOP87_K3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_K4_URANUS, sizeof(g_VSOP87_K4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_K_URANUS +{ { + { g_VSOP87_K0_URANUS.data(), g_VSOP87_K0_URANUS.size() }, + { g_VSOP87_K1_URANUS.data(), g_VSOP87_K1_URANUS.size() }, + { g_VSOP87_K2_URANUS.data(), g_VSOP87_K2_URANUS.size() }, + { g_VSOP87_K3_URANUS.data(), g_VSOP87_K3_URANUS.size() }, + { g_VSOP87_K4_URANUS.data(), g_VSOP87_K4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_H_URANUS[] = -{ - { g_VSOP87_H0_URANUS, sizeof(g_VSOP87_H0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H1_URANUS, sizeof(g_VSOP87_H1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H2_URANUS, sizeof(g_VSOP87_H2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H3_URANUS, sizeof(g_VSOP87_H3_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_H4_URANUS, sizeof(g_VSOP87_H4_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_H_URANUS +{ { + { g_VSOP87_H0_URANUS.data(), g_VSOP87_H0_URANUS.size() }, + { g_VSOP87_H1_URANUS.data(), g_VSOP87_H1_URANUS.size() }, + { g_VSOP87_H2_URANUS.data(), g_VSOP87_H2_URANUS.size() }, + { g_VSOP87_H3_URANUS.data(), g_VSOP87_H3_URANUS.size() }, + { g_VSOP87_H4_URANUS.data(), g_VSOP87_H4_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_Q_URANUS[] = -{ - { g_VSOP87_Q0_URANUS, sizeof(g_VSOP87_Q0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q1_URANUS, sizeof(g_VSOP87_Q1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q2_URANUS, sizeof(g_VSOP87_Q2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_Q3_URANUS, sizeof(g_VSOP87_Q3_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_Q_URANUS +{ { + { g_VSOP87_Q0_URANUS.data(), g_VSOP87_Q0_URANUS.size() }, + { g_VSOP87_Q1_URANUS.data(), g_VSOP87_Q1_URANUS.size() }, + { g_VSOP87_Q2_URANUS.data(), g_VSOP87_Q2_URANUS.size() }, + { g_VSOP87_Q3_URANUS.data(), g_VSOP87_Q3_URANUS.size() } +} }; -const VSOP87Coefficient2 g_VSOP87_P_URANUS[] = -{ - { g_VSOP87_P0_URANUS, sizeof(g_VSOP87_P0_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P1_URANUS, sizeof(g_VSOP87_P1_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P2_URANUS, sizeof(g_VSOP87_P2_URANUS)/sizeof(VSOP87Coefficient) }, - { g_VSOP87_P3_URANUS, sizeof(g_VSOP87_P3_URANUS)/sizeof(VSOP87Coefficient) } -}; +constexpr array g_VSOP87_P_URANUS +{ { + { g_VSOP87_P0_URANUS.data(), g_VSOP87_P0_URANUS.size() }, + { g_VSOP87_P1_URANUS.data(), g_VSOP87_P1_URANUS.size() }, + { g_VSOP87_P2_URANUS.data(), g_VSOP87_P2_URANUS.size() }, + { g_VSOP87_P3_URANUS.data(), g_VSOP87_P3_URANUS.size() } +} }; ////////////////////////////// Implementation ///////////////////////////////// -double CAAVSOP87_Uranus::A(double JD) +double CAAVSOP87_Uranus::A(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_A_URANUS, sizeof(g_VSOP87_A_URANUS)/(sizeof(VSOP87Coefficient)), false); + return CAAVSOP87::Calculate(JD, g_VSOP87_A_URANUS.data(), g_VSOP87_A_URANUS.size(), false); } -double CAAVSOP87_Uranus::L(double JD) +double CAAVSOP87_Uranus::L(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_L_URANUS, sizeof(g_VSOP87_L_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_L_URANUS.data(), g_VSOP87_L_URANUS.size(), true); } -double CAAVSOP87_Uranus::K(double JD) +double CAAVSOP87_Uranus::K(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_K_URANUS, sizeof(g_VSOP87_K_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_K_URANUS.data(), g_VSOP87_K_URANUS.size(), false); } -double CAAVSOP87_Uranus::H(double JD) +double CAAVSOP87_Uranus::H(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_H_URANUS, sizeof(g_VSOP87_H_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_H_URANUS.data(), g_VSOP87_H_URANUS.size(), false); } -double CAAVSOP87_Uranus::Q(double JD) +double CAAVSOP87_Uranus::Q(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_Q_URANUS, sizeof(g_VSOP87_Q_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_Q_URANUS.data(), g_VSOP87_Q_URANUS.size(), false); } -double CAAVSOP87_Uranus::P(double JD) +double CAAVSOP87_Uranus::P(double JD) noexcept { - return CVSOP87::Calculate(JD, g_VSOP87_P_URANUS, sizeof(g_VSOP87_P_URANUS)/(sizeof(VSOP87Coefficient)), true); + return CAAVSOP87::Calculate(JD, g_VSOP87_P_URANUS.data(), g_VSOP87_P_URANUS.size(), false); } - diff --git a/Vendor/AA+/1.6.3/AAVSOP87_URA.h b/Sources/AAPlus/include/AAVSOP87_URA.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_URA.h rename to Sources/AAPlus/include/AAVSOP87_URA.h index b021f59..0765881 --- a/Vendor/AA+/1.6.3/AAVSOP87_URA.h +++ b/Sources/AAPlus/include/AAVSOP87_URA.h @@ -2,9 +2,8 @@ Module : AAVSOP87_URA.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Uranus { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVSOP87_VEN.h b/Sources/AAPlus/include/AAVSOP87_VEN.h old mode 100755 new mode 100644 similarity index 73% rename from Vendor/AA+/1.6.3/AAVSOP87_VEN.h rename to Sources/AAPlus/include/AAVSOP87_VEN.h index 9f24d90..570648f --- a/Vendor/AA+/1.6.3/AAVSOP87_VEN.h +++ b/Sources/AAPlus/include/AAVSOP87_VEN.h @@ -2,9 +2,8 @@ Module : AAVSOP87_VEN.h Purpose: Implementation for the algorithms for VSOP87 Created: PJN / 13-09-2015 -History: PJN / 13-09-2015 1. Initial public release. -Copyright (c) 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2015 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,12 +37,12 @@ to maintain a single distribution point for the source code. class AAPLUS_EXT_CLASS CAAVSOP87_Venus { public: - static double A(double JD); - static double L(double JD); - static double K(double JD); - static double H(double JD); - static double Q(double JD); - static double P(double JD); + static double A(double JD) noexcept; + static double L(double JD) noexcept; + static double K(double JD) noexcept; + static double H(double JD) noexcept; + static double Q(double JD) noexcept; + static double P(double JD) noexcept; }; diff --git a/Vendor/AA+/1.6.3/AAVenus.h b/Sources/AAPlus/include/AAVenus.h old mode 100755 new mode 100644 similarity index 85% rename from Vendor/AA+/1.6.3/AAVenus.h rename to Sources/AAPlus/include/AAVenus.h index 9d35d78..e7c8cf4 --- a/Vendor/AA+/1.6.3/AAVenus.h +++ b/Sources/AAPlus/include/AAVenus.h @@ -1,9 +1,9 @@ /* -Module : AAVENUS.H +Module : AAVenus.h Purpose: Implementation for the algorithms which obtain the heliocentric position of Venus Created: PJN / 29-12-2003 -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) +Copyright (c) 2003 - 2022 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) All rights reserved. @@ -38,9 +38,9 @@ class AAPLUS_EXT_CLASS CAAVenus { public: //Static methods - static double EclipticLongitude(double JD, bool bHighPrecision); - static double EclipticLatitude(double JD, bool bHighPrecision); - static double RadiusVector(double JD, bool bHighPrecision); + static double EclipticLongitude(double JD, bool bHighPrecision) noexcept; + static double EclipticLatitude(double JD, bool bHighPrecision) noexcept; + static double RadiusVector(double JD, bool bHighPrecision) noexcept; }; diff --git a/Sources/AAPlus/include/stdafx.h b/Sources/AAPlus/include/stdafx.h new file mode 100644 index 0000000..00f17f0 --- /dev/null +++ b/Sources/AAPlus/include/stdafx.h @@ -0,0 +1,35 @@ +#if _MSC_VER > 1000 +#pragma once +#endif + +#ifndef STRICT +#define STRICT +#endif + +#ifndef WINVER +#define WINVER 0x0502 +#endif + +#ifndef _WIN32_WINNT +#define _WIN32_WINNT 0x0502 +#endif + +#ifndef _WIN32_WINDOWS +#define _WIN32_WINDOWS 0x0502 +#endif + +#ifndef _WIN32_IE +#define _WIN32_IE 0x0600 +#endif + +#define VC_EXTRALEAN //Exclude rarely-used stuff from Windows headers +#define _ATL_CSTRING_EXPLICIT_CONSTRUCTORS //some CString constructors will be explicit +#define _AFX_ALL_WARNINGS //turns off MFC's hiding of some common and often safely ignored warning messages + +//#define AAPLUS_NO_ELP2000 //Uncomment to test exclusion of ELP2000 from AA+ +#define AAPLUS_NO_ELPMPP02 //Uncomment to test exclusion of ELPMPP02 from AA+ +//#define AAPLUS_NO_VSOP87 //Uncomment to test exclusion of Full VSOP87 from AA+ + +#ifndef _SECURE_ATL +#define _SECURE_ATL 1 //Use the Secure C Runtime in ATL +#endif diff --git a/Sources/AAPlus/index.html b/Sources/AAPlus/index.html new file mode 100644 index 0000000..ca13f8f --- /dev/null +++ b/Sources/AAPlus/index.html @@ -0,0 +1,10893 @@ + + + + +AA+ v2.42 + + + + + +

AA+ v2.42

+

Welcome to AA+, a collection of freeware C++ classes which provide +an implementation of the algorithms as presented in the book "Astronomical +Algorithms" (2nd Edition) by Jean Meeus.

+

Example areas covered include the positions of the planets, comets, minor planets +and the moon, calculation of times of Rising, Setting and Transit, calculation of +times of Equinoxes and Solstices plus calculation of the positions of the moons +of Jupiter and Saturn as well as many other algorithms presented in the book.

+

 

+ + + + + + + + + + + + + + + + + + + + + + +
Features
Usage
Copyright
History
Class Framework Reference
References
Contacting the Author
+

 

+

 

+

 

+

Features

+
    +
  • Simple C++ interface using static functions and class instances as return + values where appropriate.
    • +
  • All code compiles cleanly at the highest warning level of 4 in Visual + Studio. The code also is /permissive- and /analyze clean.
    • +
  • A simple test app has been provided to test and verify all the functions + of the library based on examples as provided in the book.
    • +
+

+

 

+

 

+

 

+

Usage

+
    +
  • To get started using the code you really should have a copy of the book + if you want to thoroughly understand the algorithms and be able to use the different + classes and methods in conjunction with each other. For further details please + see the References
    • +
  • To use the classes in your code simple include AA*.cpp in your project and + #include AA*.h in which ever of your modules needs to make calls to the classes.
    • +
  • You can optionally pare back the modules which you do not want to include + until you arrive at a minimum set for your requirements.
    • +
  • To see the classes in action, have a look at the code in the main function + in the module "aatest.cpp".
    • +
  • The download includes a VC 2019 project and has been tested on VC 2019 on Windows 10 and GCC on Ubuntu.
    • +
+

 

+

 

+

 

+

Copyright

+
    +
  • You are allowed to include the source code in any product (commercial, shareware, + freeware or otherwise) when your product is released in binary form.
    • +
  • You are allowed to modify the source code in any way you want except you + cannot modify the copyright details at the top of each module.
    • +
  • If you want to distribute source code with your application, then you are + only allowed to distribute versions released by the author. This is to maintain + a single distribution point for the source code.
    • +
+

 

+

 

+

 

+

History

+

v2.42 (20 March 2022)

+ +

v2.41 (24 January 2022)

+ +

v2.40 (22 December 2021)

+ +

v2.39 (22 November 2021)

+
    +
  • Reworked the CAABinaryStar::Calculate method to use the method as + detailed in chapter 7 in the book "Observing and Measuring Visual Double + Stars". This helps fix issues detected with the algorithms as presented in + Chapter 57 of Meeus's book. These issues were detected when developing a + program to provide a simple animation of a sample binary star system. The + observed bug was causing the orbits to not be calculated as projected + ellipses when the inclination value (i) approached 90 degrees.
    • +
  • Updated CAABinaryStarDetails class to include rectangular + coordinates as well as the existing polar coordinates.
    • +
  • Made some minor optimizations to the CAAKepler::Calculate method.
    • +
+

v2.38 (6 November 2021)

+
    +
  • Fix a minor layout problem in the g_MoonCoefficients3 lookup table in + AAMoon.cpp. Thanks to Jud McCranie for reporting this issue.
    • +
  • Fixed a bug in CAAPhysicalMoon::CalculateOpticalLibration where the + value of the variable "W" was being calculated incorrectly. Thanks to Don + Cross for reporting this issue.
    • +
  • Updated the g_DeltaTValues lookup table to use observed DeltaT values to + 4 November 2021 and predicted values to 12 November 2022 from + https://cddis.nasa.gov/archive/products/iers/finals2000A.all.
    • +
+

v2.37 (24 October 2021)

+
    +
  • Updated various classes to use C++ 11 in-class member initialization.
    • +
  • Renamed CAAPlanetaryPhenomena::PlanetaryObject type to Planet.
    • +
  • Renamed CAAPlanetaryPhenomena::EventType type to Type.
    • +
  • Renamed CAAElliptical::EllipticalObject type to Object.
    • +
  • Renamed CAADate::DAY_OF_WEEK type to DOW.
    • +
  • Made CAAEaster::Calculate constexpr.
    • +
  • Updated the g_DeltaTValues lookup table to use observed DeltaT values to + 21 October 2021 and predicted values to 29 October 2022 from + https://cddis.nasa.gov/archive/products/iers/finals2000A.all.
    • +
  • AA+ now includes complete support for the VSOP2013 theory (ftp.imcce.fr/pub/ephem/planets/vsop2013/). + This theory provides for calculation of the heliocentric elliptical orbital + elements and the heliocentric ecliptical and equatorial position and + velocity of Mercury, Venus, the Earth-Moon Barycenter, Mars, Jupiter, + Saturn, Uranus, Neptune and the dwarf planet Pluto for the equinox + and ecliptic of J2000.0.
    • +
+

v2.36 (12 September 2021)

+
    +
  • Updated the g_DeltaTValues lookup table to use observed DeltaT values to + 9 September 2021 and predicted values to 17 September 2022 from + https://cddis.nasa.gov/archive/products/iers/finals2000A.all.
    • +
  • Removed the Height parameter from the CAARiseTransitSet2::Calculate & + CalculateMoon methods. Instead now if you want to calculate times of rise or + set at different altitudes you should send in an adjusted h0 parameter. For + example you could use the following formulae to adjust for the Sun: double + H0 = -0.8333 - CAACoordinateTransformation::RadiansToDegrees(acos(6371008 / + (6371008 + Height)))
    where Height is the altitude above sea-level in + meters. Thanks to Stephen F. Booth for reporting this issue.
    • +
+

v2.35 (21 August 2021)

+
    +
  • Reworked the algorithm to calculate the apparent semidiameter of the + Moon in CAARiseTransitSet2::CalculateMoon. Tests indicate that this change + only causes the rise / set times of the Moon to be a couple of seconds + different compared to the old formula.
    • +
+

v2.34 (20 August 2021)

+
    +
  • Fixed a bug in CAARiseTransitSet2::CalculateMoon in the calculation of + the H0 value. In the book Meeus uses the value +0.125 degrees for the Moon, + but this value is not correct in the context of the CAARiseTransitSet2 class + as this class already takes diurnal parallax of the Moon into account. + Instead the H0 value is now calculated with a new formula which provides + more accurate times of Moon Rise and Set. Thanks to Stephen F. Booth for + reporting these bug.
    • +
  • The CAARiseTransitSet2::CalculateMoon method now includes a new + RefractionAtHorizon parameter. This value defaults to -0.5667 and corresponds + to the amount of atmospheric refraction to use at the moment of Moon rise or + set. Note that the actual H0 value for the Moon is not constant and is + calculated from this value in this method using the apparent + semidiameter of the Moon.
    • +
  • Updated the CAARiseTransitSet2::CalculateMoon method to support + the ELP2000 and ELPMPP02 theories in addition to the Meeus ELP2000 truncated + algorithms.
    • +
+

v2.33 (11 August 2021)

+
    +
  • Fixed various bugs in CAARiseTransitSet2::AddEvents related to the + calculation of various twilight events. Thanks to Stephen F. Booth for + reporting these bugs.
    • +
  • Changed AAPLUS_ELP2000_NO_HIGH_PRECISION preprocessor define to + AAPLUS_NO_ELP2000 to be consistent with other AA+ preprocessor defines.
    • +
  • Changed AAPLUS_VSOP87_NO_HIGH_PRECISION preprocessor define to + AAPLUS_NO_VSOP87 to be consistent with other AA+ preprocessor defines.
    • +
+

v2.32 (9 August 2021)

+ +

v2.31 (8 July 2021)

+ +

v2.30 (5 June 2021)

+ +

v2.29 (1 May 2021)

+ +

v2.28 (20 April 2021)

+
    +
  • Added a preprocessor directive "AAPLUS_DELTAT_NO_HIGH_PRECISION" which + if defined will only use the polynomial equations instead of lookup tables + from IERS for calculating DeltaT in the method CAADynamicalTime::DeltaT. By + defining this value you reduce the memory requirements needed for the lookup + table "g_DeltaTValues" by 300 KB.
    • +
+

v2.27 (2 April 2021)

+ +

17 March 2021

+
    +
  • Fixed a minor typo in AATest.cpp. Thanks to Roger House for reporting + this issue.
    • +
+

v2.26 (12 March 2021)

+
    +
  • Reworked CAADynamicalTime::DeltaT to use std::upper_bound to speed up + logic to find correct entry in the g_DeltaTValues lookup table.
    • +
  • Reworked CAADynamicalTime::CumulativeLeapSeconds to use std::upper_bound + to speed up logic to find correct entry in the g_LeapSecondCoefficients + lookup table.
    • +
  • Updated the g_DeltaTValues lookup table to use values from the year 1657 + to 1972.50 to use data from + + https://cddis.nasa.gov/archive/products/iers/historic_deltat.data which + provides a granularity of 0.5 of a year. Also updated the same array to use + values from 2 January 1973 to 19 March 2022 from + + https://cddis.nasa.gov/archive/products/iers/finals2000A.all which + provides a granularity of 1 day. Also updated the same array to use values + from the year 2022.25 to 2027.75 from + + https://cddis.nasa.gov/archive/products/iers/deltat.preds which provides + a granularity of 0.25 of a year. All of this was implemented using a program + which machine generates the lookup table using custom code. This new lookup + table now includes > 18k elements and provides 1 - 1 precision with all the + data released by IERS. The machine generated code will also make it easier + to update this data as new data is published by IERS going forward. Using + this new lookup array we now have a discontinuity of c. 3.7 seconds in + January 1657 and a discontinuity of c. 2.5 seconds in October 2027 for the + CAADynamicalTime::DeltaT method. With these updates AA+ is now 29.7 + Megabytes and 416 thousand lines of C++ source code.
    • +
  • Implemented a CAADynamicalTime::SetUserDefinedDeltaT method which allows + a user provided DeltaT function to be provided. By default the + CAADynamicalTime::DeltaT function uses its own lookup tables and + polynomials to calculate DeltaT, but if + CAADynamicalTime::SetUserDefinedDeltaT has been called to provide a custom + DeltaT function then the callback function provided to this method will be used instead. Setting + the parameter to SetUserDefinedDeltaT to a nullptr will restore the default + DeltaT method behavior.
    • +
  • Changed the behavior of the CAAPlanetaryPhenomena::K method to now return the K + value before it is rounded. This new behaviour is now consistent with all + the other methods in the AA+ framework which return so called "K" values. + This means that client code must round this value to an integer before + calling other methods in this class with this K value.
    • +
  • Changed the behavior of the CAAPlanetPerihelionAphelion::*K methods to + now return the K value before it is rounded. This new behaviour is now + consistent with all the other methods in the AA+ framework which return so + called "K" values. This means that client code must round this value before calling other methods in this class with + this K value.
    • +
  • Merged the separate perihelion and aphelion methods for all the planets + except Earth in CAAPlanetPerihelionAphelion into one method per planet. This + new behaviour is now consistent with all the other methods in the AA+ + framework which work with so called "K" values.
    • +
  • Fixed a bug in CAAPlanetPerihelionAphelion::EarthAphelion where the + kdash and ksquared values were not being calculated correctly.
    • +
+

v2.25 (7 March 2021)

+ +

v2.24 (5 February 2021)

+ +

v2.23 (10 January 2021)

+
    +
  • Reworked the K, H, Q and P methods in the + AAVSOP87_"Planetname".cpp modules to pass false for bAngle to + CVSOP87::Calculate. These values are not angular values in the true sense of + the word and by passing false, the values returned are now in exact + agreement with the vsop87.chk test values. Thanks to Cao Yu for reporting + this issue.
    • +
+

v2.22 (9 January 2021)

+ +

v2.21 (4 December 2020)

+ +

v2.20 (23 November 2020)

+
    +
  • Reworked CAADynamicalTime::TT2UTC & CAADynamicalTime::UTC2TT methods to + use std::array::size instead of sizeof.
    • +
  • Reworked CAAELPMPP02::EclipticLatitude & CAAELPMPP02::RadiusVector + methods to use std::array::size instead of sizeof.
    • +
+

v2.19 (22 November 2020)

+
    +
  • Updated the observed DeltaT values from + + https://datacenter.iers.org/eop.php to 1st November 2020. The IERS web + site is the definitive source for these values as the USNO websites which I + have previously used are offline at the moment for modernization efforts + (See https://www.usno.navy.mil/ for + the details). To obtain values for DeltaT to add to the g_DeltaTValues table in + AADynamicalTime.cpp, the value "UT1-UTC" was taken from Bulletin A and the + formula: DeltaT = AccumulatedLeapsSeconds + 32.184 - (UT1-UTC) was used. The + "AccumulatedLeapsSeconds" for 2020 is currently 37 seconds. If you plot the + values for DeltaT for 2020 you will see that around June 2020 the value for + DeltaT has started to decrease instead of the long term increasing trend for + DeltaT. If this trend continues we may see the first negative leap second + occur in the next few years.
    • +
+

v2.18 (21 November 2020)

+
    +
  • Update the CMake project file for AA+ to require C++ 17 compilation. + This fixes a compile issue when using CMake to build AA++ as the code + requires C++ 17 + compilation as of v2.13. Thanks to Kirill Dunko for reporting this issue.
    • +
+

v2.17 (11 June 2020)

+
    +
  • Addition of a new CAAPlanetaryPhenomena2 class.
    • +
  • Removed support for Pluto from the CAAElliptical class since the + CAAPluto class returns the coordinates in the equinox of J2000 instead of + the equinox of the date which is required by this class.
    • +
  • Removed support for Pluto from the CAARiseTransitSet2 class since the + CAAPluto class returns the coordinates in the equinox of J2000 instead of + the equinox of the date which is required by this class.
    • +
+

v2.16 (2 June 2020)

+
    +
  • Addition of a new CAAPlanetPerihelionAphelion2 class.
    • +
+

v2.15 (1 June 2020)

+
    +
  • Fixed a bug in CAAELP2000::SunMeanAnomaly where some local variables + were not initialized. Thanks to "Carlos" for reporting this bug.
    • +
  • Optimized the code in CAAVenus::EclipticLongitude.
    • +
  • Renamed CAAELP2000::MoonMeanLongitude to + CAAELP2000::MoonMeanMeanLongitude.
    • +
  • Renamed CAAELP2000::MoonMeanLongitudeLunarPerigee to + CAAELP2000::MeanLongitudeLunarPerigee.
    • +
  • Renamed CAAELP2000::MoonMeanLongitudeLunarAscendingNode to + CAAELP2000::MeanLongitudeLunarAscendingNode.
    • +
  • Renamed CAAELP2000::EarthMoonBarycentreMeanLongitude to + CAAELP2000::MeanHeliocentricMeanLongitudeEarthMoonBarycentre.
    • +
  • Renamed CAAELP2000::EarthMoonBarycentreMeanLongitudeOfPerihelion to + CAAELP2000::MeanLongitudeOfPerilhelionOfEarthMoonBarycentre
    • +
+

v2.14 (29 April 2020)

+
    +
  • Fixed a compilation issue on GCC where size_t was undefined in various + modules. Thanks to Bert Devlieghe for reporting this bug.
    • +
+

v2.13 (22 April 2020)

+
    +
  • Updated the observed DeltaT values from + + ftp://cddis.gsfc.nasa.gov/pub/products/iers/deltat.data to 1st February + 2020
    • +
  • Updated the code to use take advantage of range based for loops and + std::array. Please note that these changes means that the code will no + longer compile on VC 2017 due to its limited supported for large constexpr + arrays.
    • +
  • Fixed more Clang-Tidy static code analysis warnings in the code.
    • +
  • Made a number of the CAADate methods [[nodiscard]]. This change means + that the code must be compiled using the ISO C++ + 17 standard or higher.
    • +
+

v2.12 (1 January 2020)

+
    +
  • Addition of a new CAAMoonPhases2 class.
    • +
  • Updated copyright details.
    • +
+

v2.11 (10 December 2019)

+
    +
  • Fixed various Clang-Tidy static code analysis warnings in the code.
    • +
+

v2.10 (16 November 2019)

+
    +
  • Addition of a new CAAMoonNodes2 class.
    • +
+

v2.09 (2 November 2019)

+
    +
  • Addition of a new CAAMoonPerigeeApogee2 class.
    • +
+

v2.08 (22 October 2019)

+
    +
  • Addition of a new CAAMoonMaxDeclinations2 class.
    • +
+

v2.07 (28 September 2019)

+
    +
  • Addition of a new CAAEquinoxesAndSolstices2 class.
    • +
+

v2.06 (28 September 2019)

+ +

v2.05 (8 September 2019)

+
    +
  • Added support for EndCivilTwilight, EndNauticalTwilight, + EndAstronomicalTwilight, StartAstronomicalTwilight, StartNauticalTwilight & + StartCivilTwilight event types to CAARiseTransitSet2 class.
    • +
+

v2.04 (18 August 2019)

+
    +
  • Fixed some further compiler warnings when using VC 2019 Preview v16.3.0 + Preview 2.0
    • +
+

v2.03 (15 July 2019)

+
    +
  • Refactored the code in various CAARiseTransitSet2 methods and improved + the interpolation code to provide better accuracy of event details.
    • +
+

v2.02 (13 July 2019)

+
    +
  • Addition of a new CAARiseTransitSet2 class which addresses issues with + the existing CAARiseTransitSet class which is now considered deprecated.
    • +
+

v2.01 (23 June 2019)

+ +

v2.0 (8 June 2019)

+ +

v1.99 (16 January 2019)

+ +

v1.98 (3 January 2019)

+ +

v1.97 (22 September 2018)

+ +

v1.96 (24 July 2018)

+
    +
  • Fixed a number of GCC warnings in the method + CAAGalileanMoons::CalculateHelper. Thanks to Todd Carnes for reporting this + issue.
    • +
  • Fixed a number of GCC warnings in the methods CAAPlanetaryPhenomena::K, + CAAPlanetaryPhenomena::Mean, CAAPlanetaryPhenomena::True & + CAAPlanetaryPhenomena::ElongationValue. Thanks to Todd Carnes for reporting + this issue.
    • +
  • Fixed a GCC warning in the method CAASaturnMoons::HelperSubroutine. + Thanks to Todd Carnes for reporting this issue.
    • +
  • Fixed a GCC warning in the CAARiseTransitSetDetails constructor. Thanks + to Todd Carnes for reporting this issue.
    • +
  • Fixed a number of VC 2017 15.7 C++ core guidelines compiler warnings.
    • +
  • Replaced enum with enum class throughout the code.
    • +
+

24 April 2018

+
    +
  • Updated the documentation to mention that geographical longitudes are + positive west of Greenwich and negative east of Greenwich. Thanks to Spencer + Roff for reporting this issue.
    • +
  • Did some other minor cleanups of html tags in the documentation.
    • +
  • Updated the documentation for CAAGlobe::DistanceBetweenPoints to refer + to all its parameters.
    • +
+

v1.95 (19 April 2018)

+
    +
  • Updated references to CAARiseTransitSet::Calculate in the documentation. + Thanks to Roger House for reporting this issue.
    • +
  • Updated the sample code for CAARiseTransitSet::Calculate in the + documentation which demonstrates an edge case. Thanks to Roger House for + reporting this issue.
    • +
+

v1.94 (3 March 2018)

+
    +
  • Fixed some compiler warnings on LLVM 9 on XCode on Mac OS in AATest.cpp + when calling PrintSunAndMoonInfo2. Thanks to Michael McLaughlin for + reporting this issue.
    • +
+

v1.93 (2 March 2018)

+
    +
  • Fixed a transcription bug in the CAAPrecession::PrecessEquatorial + method. The "0.017998*tcubed" term was incorrectly using "0.017988*tcubed" + when calculating "sigma". Thanks to Michael McLaughlin for reporting this + bug. The errors were so small that the values from the worked example of + 21.b from the book ended up giving the same results. If a longer timespan + was used for the example instead of the 28 years then the errors would have + been easier to spot from the incorrect terms. Hopefully this is the last + transcription error in this method!
    • +
+

v1.92 (20 January 2018)

+ +

v1.91 (1 August 2017)

+
    +
  • Fixed up alignment of lookup tables in AAMercury.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAVenus.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAEarth.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAMars.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAJupiter.cpp module.
    • +
  • Fixed up alignment of lookup tables in AASaturn.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAUranus.cpp module.
    • +
  • Fixed up alignment of lookup tables in AANeptune.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAPluto.cpp module.
    • +
  • Fixed up alignment of lookup tables in AAMoon.cpp module.
    • +
  • Lookup tables in AAELPMPP02.cpp now consistently use lowercase "e" when + declaring values in lookup tables.
    • +
+

v1.90 (30 July 2017)

+
    +
  • AA+ now includes complete support for the ELP/MPP02 theory (ftp://cyrano-se.obspm.fr/pub/2_lunar_solutions/2_elpmpp02/) + in addition to the ELP2000-82B theory (http://cdsweb.u-strasbg.fr/cgi-bin/qcat?VI/79/) + and truncated ELP2000 theory as presented in Meeus's book. + This theory is the most up to date version of the ELP Lunar theory. It + includes fits to the JPL Ephemerides of DE405 & DE406, LLR (Lunar Laser + Ranging) as well as the Nominal model used in ELP/MPP02. The full ELP/MPP02 theory is implemented by the new + AAELPMPP02.cpp/h files included in the AA+ download. This new class in AA+ to + support ELP/MPP02 has been machine generated by parsing the ELP/MPP02 files with + a custom C++ app to generate the new header and source modules. The results + have been comprehensively spot checked against the ELP/MPP02 test values + provided in the ELP/MPP02 files. The AA+ implementation is based in part + on a C# implementation of the theory at + + https://sourceforge.net/projects/astromony/files/ as well as a C + implementation in GAL (General Astrodynamics Library) by Paul Willmott at + + http://www.amsat-bda.org/GAL_Home.html. Similar to the ELP2000-82b theory the results + are returned in the + equator and equinox of J2000. Client code is free to use the CAAPrecession class to + precess the coordinates to the required reference frame. Please note that if you + want to compile AA+ to not pull in a dependency on the new and quite large + ELP/MPP02 module, then you can define the preprocessor value + "AAPLUS_NO_ELPMPP02" in your project. With this + addition AA+ is now 27.7 Megabytes and 377 thousand lines of C++ source + code. Testing shows the time taken to call + CAAELP2000::EclipticRectangularCoordinatesJ2000 on my 3.2GHz Core i7 + processor is about c. 1ms while the call to the new + CAAELPMPP02::EclipticRectangularCoordinatesJ2000 method including returning + the derivatives takes c. 5ms. From + the ELP/MPP02 paper, the longitude and latitude is three times more accurate + than ELP200-82B and the distance is eight times more accurate. For the + interval +1950 to +2060, there is reported accuracy of 0.06 arc seconds in + longitude, 0.003 arc seconds in latitude and 4 meters in distance.
    • +
  • Updated the observed DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.data to 1st June 2017.
    • +
  • Updated the predicted DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.preds to Jan 2026.
    • +
  • Removed unnecessary SECOND_2_RAD define in AAELP2000.cpp module.
    • +
  • Updated various CAAELP2000 methods to use "const" parameters.
    • +

v1.80 (15 May 2017)

+
    +
  • Fixed an issue in CAAPhysicalSun::Calculate where the value "eta" + would sometimes not be returned in the correct quadrant. Thanks to Alexandru + Garofide for reporting this issue.
    • +
+

v1.79 (27 April 2017)

+
    +
  • Revisited the fix for interpolating RA values in the + CAARiseTransitSet class which was made on 28 March 2009. This new fix should + resolve this issue for good. Thanks to Gudni G. Sigurdsson for reporting + this bug.
    • +
+

23 April 2017

+
    +
  • Updated the documentation for CAAPrecession::AdjustPositionUsingMotionInSpace to clarify + the units used. Thanks to Matthew Prowse for reporting this issue.
    • +
+

v1.78 (19 February 2017)

+
    +
  • Fixed a bug in the CAADynamicalTime::UTC2TT & + CAADynamicalTime::TT2UTC methods where the code would incorrectly use + BaseMJD instead of JD when determining if the date is in the valid range of + UTC. Thanks to Luigi Candurro for reporting this bug.
    • +
+

v1.77 (18 February 2017)

+
    +
  • Fixed a transcription error on the DeltaT value for 1 May 2015. The + correct value is 67.8012 instead of 67.8011. Thanks to Luigi Candurro for + reporting this error.
    • +
  • Fixed a number of transcription errors on the predicted DeltaT values + from 2019.75 to 2025.75. Thanks to Luigi Candurro for reporting these + errors.
    • +
  • CAADynamicalTime::TT2UTC is now implemented as TT2UT1 for date ranges + prior to 1 January 1961 and 500 days after the last leap second (which is + currently 1 January 2017). Also CAADynamicalTime::UTC2TT is now implemented + as UT12TT for date ranges prior to 1 January 1961 and 500 days after the + last leap second. These changes address problems where these two methods + would end up using a constant offset between UTC and TT for dates away from + the current epoch. This problem was discovered while calculating rise, + transit and set times for the Moon in B.C.E years. Thanks to Luigi Candurro + for prompting this update.
    • +
  • Reworked the CAADate::SetInGregorianCalendar method to use the + AfterPapalReform method.
    • +
  • Documentation now includes info on CAADate::AfterPapalReform methods. + Thanks to Luigi Candurro for reporting this issue.
    • +
+

v1.76 (12 February 2017)

+
    +
  • Fixed a copy and paste bug in CAASaturnMoons::CalculateHelper in the + calculation of the value mu for the eight moon (Iapetus). Thanks to Cedric + Foellmi for reporting this issue.
    • +
+

v1.75 (11 February 2017)

+
    +
  • Applied a bug fix to CAAMoon::EclipticLatitude and + CAAMoon::RadiusVector along the same lines as the fix to + CAAMoon::EclipticLongitude on February 2009. The bug fix should in fact have + been applied to the later two methods. Thanks to Jeffrey Roe for reporting + this issue.
    • +
+

v1.74 (5 February 2017)

+ +

v1.73 (16 October 2016)

+
    +
  • Improved the accuracy of CAASun::ApparentEclipticLongitude when the + bHighPrecision parameter is true. The code now uses a new + VariationGeometricEclipticLongitude method which provides a new higher + precision method to calculate the effect of aberration. This takes into + account that Earth's orbit around the Sun is not a purely unperturbed + elliptical orbit. This improves the accuracy of the sample 25.a/b from the + book by a couple of hundreds of arc seconds. The results now are exactly in + sync with the results as reported in the book. Thanks to "Pavel" for + reporting this issue.
    • +
+

v1.72 (7 July 2016)

+ +

v1.71 (28 April 2016)

+
    +
  • Fixed a bug in the AAVSOP87 modules where an incorrect value was + being passed for the "nTableSize" parameter to the CVSOP87::Calculate and + CVSOP87::Calculate_Dash methods. A spot check of the VSOP87 sample values in + AATest.cpp now match exactly with the published VSOP87 test values. Thanks + to "Pavel" for reporting this issue.
    • +
+

v1.70 (10 April 2016)

+
    +
  • Fixed a bug in the GetSunRiseTransitSet function in the AATest.cpp + module where it incorrectly used Terrestrial Time instead of UTC. The error + in the rise / transit / set times was roughly the difference between TT and + UTC at the time of calculation. For the examples in AATest.cpp which + corresponded to October 2010, DeltaT was 67 seconds. A spot check of the AA+ code against SkyMap now shows both return the same times accurate to + the minute. Thanks to "Pavel" for reporting this issue.
    • +
  • Fixed a bug in the GetMoonRiseTransitSet function in the AATest.cpp + module where it incorrectly used Terrestrial Time instead of UTC. The error + in the rise / transit / set times was roughly the difference between TT and + UTC at the time of calculation. For the examples in AATest.cpp which + corresponded to October 2010, DeltaT was 67 seconds. A spot check of + the AA+ code against SkyMap now shows both return the same times accurate to + the minute. Thanks to "Pavel" for reporting this issue.
    • +
  • Introduction of a new bool CAARiseTransitSetDetails::bTransitValid + member variable. It turns out that celestial objects do not always transit + in a 24 hour UTC day. Test code has been added to AATest.cpp to fully + exercise all the cases for the three boolean member variables of + bRiseValid, bTransitValid & bSetValid. Thanks to "Pavel" for reporting this + issue.
    • +
+

v1.69 (28 March 2016)

+
    +
  • Fixed two transcription errors in CAAMoonNodes::PassageThroNode. The + first error was the calculation of the D4 local variable which represented + 4D in Meeus's formulae while the second error was in the -E*0.0003*sin(2D - + 2M) coefficient. With these two fixes the calculated time of Example 51.a + from Meeus's book is within 2 seconds of the value he reports. Thanks to + Alejandro Krohn for prompting this bug fix.
    • +
+

v1.68 (27 March 2016)

+
    +
  • Updated CAAEclipses::Calculate to return a bitmask of attributes about + the calculated solar eclipse in CAASolarEclipseDetails::Details. These + attributes correspond to the values as discussed in Meeus's book on Pages + 381 & 382. Thanks to "Pavel" for providing this nice addition.
    • +
+

v1.67 (20 March 2016)

+
    +
  • CAAPrecession::AdjustPositionUsingUniformProperMotion now ensures that + the return value is in the normalized range for right ascension and + declination.
    • +
  • CAAPrecession::AdjustPositionUsingMotionInSpace now ensures that + the return value is in the normalized range for right ascension and + declination.
    • +
  • CAAPrecession::PrecessEquatorial now ensures that the return value + is in the normalized range for right ascension and declination.
    • +
  • CAAPrecession::PrecessEquatorialFK4 now ensures that the return value is + in the normalized range for right ascension and declination.
    • +
  • CAAPrecession::PrecessEcliptic now ensures that the return value is in + the normalized range for ecliptic longitude and latitude.
    • +
  • CAAPrecession::PrecessEquatorialFK4 now adds the Equinox correction to + the returned right ascension. Thanks to "Pavel" for reporting this issue.
    • +
  • Optimized the code in CAAPrecession::PrecessEquatorial, + CAAPrecession::PrecessEquatorialFK4 & CAAPrecession::PrecessEcliptic.
    • +
  • Updated the documentation for CAAPrecession::PrecessEquatorialFK4 to be + explicit on what coordinate system the parameters and return value are + defined in. Thanks to "Pavel" for reporting this issue.
    • +
  • Fixed a transcription error in the CAAGlobe::RhoSinThetaPrime and + CAAGlobe::RhoCosThetaPrime functions. The value 6378149 was being used + instead of the correct value 6378140. Thanks to "Pavel" for reporting this + bug.
    • +
+

v1.66 (9 March 2016)

+
    +
  • Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data + to 1st February 2016
    • +
  • Verified the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds + are up to date
    • +
  • Fixed three transcription bugs in the g_MoonPerigeeApogeeCoefficients3 table. Thanks to "Pavel" for reporting this bug. A spot check + of the True Perigee parallax values from 1984 to 2026 indicate that this bug did not affect the calculated distances at least in this time range to + a precision of a kilometer which is well within the claimed accuracy of 12 KM as mentioned in Meeus's book on page 361.
    • +
+

v1.65 (4 January 2016)

+
    +
  • Major cleanup and refactoring of the ELP2000-82b code. The new + reimplementation should prove faster and easier to maintain going forward.
    • +
  • Updated copyright details
    • +
+

v1.64 (31 December 2015)

+
    +
  • AA+ now includes complete support for the ELP2000-82B theory (http://cdsweb.u-strasbg.fr/cgi-bin/qcat?VI/79/) + in addition to the truncated ELP2000 theory as presented in Meeus's book. + This theory is used to calculate the position + of the Moon. The full ELP2000-82b theory is implemented by the new + AAELP2000.cpp/h files included in the AA+ download. This new class in AA+ to + support ELP2000-82b has been machine generated by parsing the ELP2000-82b files with + a custom C++ app to generate the new header and source modules. The results + have been comprehensively spot checked against the ELP2000-82b test values + provided in the ELP2000-82b files. The AA+ implementation is based in part + on a C translation of the original Fortran source code included with + ELP2000-82b as well as the Libnova + open source library. As the ELP2000-82b theory returns the results in the + equator and equinox of J2000 / FK5 they cannot be directly integrated into + the existing CAAMoon class which returns the values in the equator and + equinox of the date. Client code is free to use the CAAPrecession class to + precess the coordinates to the required reference frame. Please note that if you + want to compile AA+ to not pull in a dependency on the new and quite large + ELP2000-82b module, then you can define the preprocessor value + "AAPLUS_ELP2000_NO_HIGH_PRECISION" in your project. With this + addition AA+ is now 23.6 Megabytes and 330 thousand lines of C++ source + code.
    • +
  • Updated the observed DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2015
    • +
  • Verified the predicted DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.preds are up to date
    • +
+

v1.63 (16 September 2015)

+
    +
  • AA+ now includes complete support for the VSOP87 theory (ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/) + in addition to the truncated VSOP87 theory as presented in Meeus's book. + This theory is used throughout the AA+ codebase to calculate the positions + of the planets and the Sun. The full VSOP87 theory is implemented by the new + AAVSOP*.cpp/h files included in the AA+ download. For a good introduction to + VSOP87, please see + https://en.wikipedia.org/wiki/VSOP_%28planets%29. The classes in AA+ to + support VSOP87 have been machine generated by parsing the VSOP87 files with + a custom C++ app to generate the new header and source modules. The results + have been comprehensively spot checked against the VSOP87 test values + provided in the "vsop87.chk" file in the VSOP87 files. Each VSOP theory + (VSOP87, VSOP87A, VSOP87B, VSOP87C, VSOP87D, & VSOP87E) for each of the + objects (Sun, Mercury, Venus, Earth, Earth-Moon Barycenter, Mars, Jupiter, + Saturn, Uranus & Neptune) are implemented in separate header and source + modules so client applications can decide which modules to include. The + existing AA+ codebase will now optionally call into these new modules as + required. With this addition AA+ has gone from 840 Kilobytes and 16 thousand + lines of C++ source code library to 20 Megabytes and 291 thousand lines of a + C++ source code library. In one fell swoop I have almost doubled the amount + of open source code I distribute on my web site. Please note that if you + want to compile AA+ to not pull in a dependency on the new and quite large + VSOP87 modules, then you can define the preprocessor value + "AAPLUS_VSOP87_NO_HIGH_PRECISION" in your project. This will revert the AA+ + classes to just depend on the truncated VSOP87 theory as presented in + Meeus's book.
    • +
  • Updated the CAACoordinateTransformation::MapTo0To360Range to use + the fmod C runtime function.
    • +
  • Updated the CAACoordinateTransformation::MapTo0To24Range to use + the fmod C runtime function.
    • +
  • Added new CAACoordinateTransformation::MapTo0To2PIRange + and MapToMinus90To90Range methods.
    • +
  • CAAAberration::EclipticAberration, EarthVelocity and + EquatorialAberration now include a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAEarth::EclipticLongitude, EclipticLatitude, RadiusVector, + EclipticLongitudeJ2000 & EclipticLatitudeJ2000 now include a "bool + bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAElliptical::Calculate now includes a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAEquationOfTime::Calculate now includes a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • All the methods in CAAEquinoxesAndSolstices now include a "bool + bHighPrecision" parameter which if set to true means the code uses the full + VSOP87 theory rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAGalileanMoons::Calculate now includes a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAJupiter::EclipticLongitude, EclipticLatitude & RadiusVector now + include a "bool bHighPrecision" parameter which if set to true means the + code uses the full VSOP87 theory rather than the truncated theory as + presented in Meeus's book.
    • +
  • CAAMars::EclipticLongitude, EclipticLatitude & RadiusVector now include + a "bool bHighPrecision" parameter which if set to true means the code uses + the full VSOP87 theory rather than the truncated theory as presented in + Meeus's book.
    • +
  • CAAMercury::EclipticLongitude, EclipticLatitude & RadiusVector now + include a "bool bHighPrecision" parameter which if set to true means the + code uses the full VSOP87 theory rather than the truncated theory as + presented in Meeus's book.
    • +
  • CAANearParabolic::Calculate now includes a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAANeptune::EclipticLongitude, EclipticLatitude & RadiusVector now + include a "bool bHighPrecision" parameter which if set to true means the + code uses the full VSOP87 theory rather than the truncated theory as + presented in Meeus's book.
    • +
  • CAAParabolic::Calculate now includes a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than + the truncated theory as presented in Meeus's book.
    • +
  • CAAPhysicalJupiter::Calculate now includes a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAPhysicalMars::Calculate now includes a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than + the truncated theory as presented in Meeus's book.
    • +
  • CAAPhysicalMoon::CalculateSelenographicPositionOfSun, AltitudeOfSun, + TimeOfSunrise and TimeOfSunset methods now include a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAPhysicalSun::Calculate now includes a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than + the truncated theory as presented in Meeus's book.
    • +
  • CAASaturn::EclipticLongitude, EclipticLatitude & RadiusVector now + include a "bool bHighPrecision" parameter which if set to true means the + code uses the full VSOP87 theory rather than the truncated theory as + presented in Meeus's book.
    • +
  • CAASaturnMoons::Calculate now includes a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than + the truncated theory as presented in Meeus's book.
    • +
  • CAASaturnRings::Calculate now includes a "bool bHighPrecision" parameter + which if set to true means the code uses the full VSOP87 theory rather than + the truncated theory as presented in Meeus's book.
    • +
  • All the methods in CAASun now include a "bool bHighPrecision" + parameter which if set to true means the code uses the full VSOP87 theory + rather than the truncated theory as presented in Meeus's book.
    • +
  • CAAUranus::EclipticLongitude, EclipticLatitude & RadiusVector now + include a "bool bHighPrecision" parameter which if set to true means the + code uses the full VSOP87 theory rather than the truncated theory as + presented in Meeus's book.
    • +
  • CAAVenus::EclipticLongitude, EclipticLatitude & RadiusVector now include + a "bool bHighPrecision" parameter which if set to true means the code uses + the full VSOP87 theory rather than the truncated theory as presented in + Meeus's book.
    • +
  • Verfied the code compiles cleanly on Visual C++ 2015.
    • +
  • Updated the observed DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.data to 1st July 2015.
    • +
  • Updated the predicted DeltaT values from + + http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2025.
    • +
+

v1.62 (12 July 2015)

+
    +
  • Fixed a bug in CAAElliptical::Calculate when calculating values for the + position of the Sun. The values returned by this method are now consistent + with those returned using the methods of the CAASun class, the planetarium + program SkyMap and the JPL HORIZON's web site. The errors were of the order + of 4 arc seconds in declination and 1.5 seconds of Right ascension for + modern times. I have also taken the opportunity to optimize the code in this + method. With these changes the errors are now down to 0.5 seconds of an + angle in declination and right ascension. Thanks to Marko Peric for + reporting this bug.
    • +
+

v1.61 (5 July 2015)

+
    +
  • U1 (the Saturnicentric longitude of the Sun) and U2 (the Saturnicentic + longitude of the Earth) are now returned in CAASaturnRings::Calculate.
    • +
  • Fixed a bug in the calculation of CAASaturnRingDetails::DeltaU in the + method CAASaturnRings::Calculate where for some date ranges the value would + end up greater than 180 degrees. The book indicates that this value should + never be more than 7 degrees. The issue was related to subtraction of two + angles to obtain an absolute elongation value between the two. By definition + this value should never be greater than 180 degrees. The bug occurred + between the dates of June 3rd 2024 and July 28th 2024 and December 1st 2024 + and February 12 2025. Thanks to Frank Vergeest for reporting this bug.
    • +
  • Updated the observed DeltaT values from + http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2015.
    • +
+

v1.60 (29 March 2015)

+
    +
  • Updated copyright details.
    • +
  • Updates to the html documentation to clarify the units used in some of + the CAACoordinateTransaction methods. Thanks to "Forrest" for reporting + these issues.
    • +
  • Fixed up some variable initializations around the use of modf. Thanks to + Arnaud Cueille for reporting this issue.
    • +
+

v1.59 (15 February 2015)

+ +

v1.58 (12 November 2014)

+
    +
  • Updated copyright details.
    • +
  • Fixed two transcription bugs in the CAAPrecession::PrecessEquatorial method. + The"0.000344*T" term was incorrectly using "0.0000344*T" + when calculating "sigma" and the "0.000139*Tsquared" term + was incorrectly using "0.000138*Tsquared" when calculating "zeta". + Thanks to Erik Grosse for reporting this bug. The errors were so small that + the values from the worked example of 21.b from the book ended up giving the + same results. If a longer timespan was used for the example instead of the 28 + years then the errors would have been easier to spot with the incorrect terms.
    • +
  • Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2014.
    • +
  • Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024.
    • +
+

v1.57 (28 October 2013)

+
    +
  • Renamed the method CAAEquinoxesAndSolstices::SpringEquinox to NorthwardEquinox + to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson + for prompting this update.
    • +
  • Renamed the method CAAEquinoxesAndSolstices::AutumnEquinox to SouthwardEquinox + to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson + for prompting this update.
    • +
  • Renamed the method CAAEquinoxesAndSolstices::SummerSolstice to NorthernSolstice + to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson + for prompting this update.
    • +
  • Renamed the method CAAEquinoxesAndSolstices::WinterSolstice to SouthernSolstice + to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson + for prompting this update.
    • +
  • The method CAAEquinoxesAndSolstices::LengthOfSpring now takes a boolean + to indicate which hemisphere the observer is located in. Previously the code + assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this + update.
    • +
  • The method CAAEquinoxesAndSolstices::LengthOfSummer now takes a boolean + to indicate which hemisphere the observer is located in. Previously the code + assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this + update.
    • +
  • The method CAAEquinoxesAndSolstices::LengthOfAutumn now takes a boolean + to indicate which hemisphere the observer is located in. Previously the code + assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this + update.
    • +
  • The method CAAEquinoxesAndSolstices::LengthOfWinter now takes a boolean + to indicate which hemisphere the observer is located in. Previously the code + assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this + update.
    • +
  • Updated the sample app to print out a table of information related to Equinoxes + and Solstices.
    • +
  • Addition of a CAADynamicalTime::TT2UTC method which converts from TT to + UTC.
    • +
  • Addition of a CAADynamicalTime::UTC2TT method which converts from UTC to + TT.
    • +
  • Addition of a CAADynamicalTime::TT2TAI method which converts from TT to + TAI.
    • +
  • Addition of a CAADynamicalTime::TAI2TT method which converts from TAI to + TT.
    • +
  • Addition of a CAADynamicalTime::TT2UT1 method which converts from TT to + UT1.
    • +
  • Addition of a CAADynamicalTime::UT12TT method which converts from UT1 to + TT.
    • +
  • Updated the observed DeltaT values from + http://maia.usno.navy.mil/ser7/deltat.data + to 1st September 2013.
    • +
  • Addition of a CAADynamicalTime::UT1MinusUTC method which returns UT1 - UTC. +
    • +
  • Fixed a number of GCC compiler warnings in AATest.cpp.
    • +
+

v1.56 (8 September 2013)

+
    +
  • Fixed a bug in the calculation of HeliocentricEclipticLongitude and HeliocentricEclipticLatitude + in CAAParabolic::Calculate. Thanks to Joe Novak for reporting this problem. +
    • +
  • Fixed a bug in the calculation of HeliocentricEclipticLongitude and HeliocentricEclipticLatitude + in CAANearParabolic::Calculate. Thanks to Joe Novak for reporting this problem. +
    • +
+

v1.55 (4 August 2013)

+
    +
  • Updated copyright details
    • +
  • Updated the observed DeltaT values from + http://maia.usno.navy.mil/ser7/deltat.data + to 1st April 2013
    • +
  • Updated the predicted DeltaT values from + http://maia.usno.navy.mil/ser7/deltat.preds + to 1st January 2023
    • +
  • Fixed a transcription error in the third coefficient used to calculate the + L0 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the fifth coefficient used to calculate the + L2 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the second coefficient used to calculate + the L4 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for + reporting this issue.
    • +
  • Fixed a transcription error in the ninth coefficient used to calculate the + B0 term for the ecliptic latitude of Mercury. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the third coefficient used to calculate the + B0 term for the ecliptic latitude of Venus. Thanks to Isaac Clark for reporting + this issue. Spot tests indicate that this change only affected the ecliptic + latitude in the sixth decimal place.
    • +
  • Fixed a transcription error in the twenty first coefficient used to calculate + the L0 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the sixteenth coefficient used to calculate + the L1 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the second coefficient used to calculate + the B2 term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the third coefficient used to calculate the + B2 term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting + this issue.
    • +
  • Fixed a transcription error in the thirty ninth coefficient used to calculate + the L0 term for the ecliptic longitude of Jupiter. Thanks to Isaac Clark for + reporting this issue.
    • +
  • Fixed a transcription error in the sixteenth coefficient used to calculate + the R1 term for the ecliptic radius vector of Jupiter. Thanks to Isaac Clark + for reporting this issue.
    • +
  • Fixed a transcription error in the twenty ninth coefficient used to calculate + the B2 term for the ecliptic latitude of Saturn. Thanks to Isaac Clark for reporting + this issue. Spot tests indicate that this change only affected the ecliptic + latitude in the twelfth decimal place.
    • +
  • Fixed a transcription error in the second coefficient used to calculate + the B0 term for the ecliptic latitude of Neptune. Thanks to Isaac Clark for + reporting this issue. Spot tests indicate that this change only affected the + ecliptic latitude in the sixth decimal place.
    • +
+

v1.54 (27 October 2012)

+
    +
  • Fixed a buffer initialization bug in PrintMoonPhase function in AAAtest.cpp. + This was resulting in the moon phase ASCII diagrams to not show correctly on + Unix terminals.
    • +
  • I now have a Ubuntu 12.10 VM setup which allows the code to be fully tested + on a Unix OS going forward. I am using the Code::Blocks IDE to provide a familiar + development experience for this Visual Studio veteran!
    • +
  • Fixed a transcription bug in CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion. + The correct coefficient for multiplying by T should have been 1.9637613 instead + of 1.19637613. In the worked example of 31.a from Meeus's book, he uses + the date June 24 2065. With this bug now eliminated the value returned is now + 94.34 degrees instead of 93.84 degrees for this date. Basically the incorrect + coefficient would have returned a value too small by 0.77 degrees for every + Julian century after the epoch J2000.0 = 2000 January 1.5 TD = JDE 2451545.0. + Thanks to Sudhakar Gumparthi for reporting this bug.
    • +
+

v1.53 (13 October 2012)

+
    +
  • Updated the sample app to show the rise, transit and set details for the + Moon and Sun at the North Pole for 31 October 2012. This shows that the Sun + does not rise or set on that day and transits below the horizon at 11:43:36 + UTC and the Moon also does not rise or set and transits above the horizon at + 00:35:12 UTC. Thanks to Michael Iverson for prompting this check.
    • +
  • Removed need for std::string class from AATest.cpp module.
    • +
  • Fixed a small typo in the AARiseTransitSet.cpp history comments. Thanks + to Michael Iverson for reporting this issue.
    • +
  • Fixed a typo in the spelling of Coefficient throughout the AADynamicalTime.cpp + module. Thanks to Michael Iverson for reporting this issue.
    • +
+

v1.52 (12 October 2012)

+
    +
  • Refactored the code in CAARiseTransitSet::Calculate.
    • +
  • Added comments to the documentation for CAARiseTransitSet::Calculate on + the potential for returning times outside of the UTC date requested. Thanks + to Rob Phillips for reporting this issue.
    • +
+

v1.51 (5 May 2012)

+
    +
  • Updated the sample app to print out the rise transit and set times for the + Moon and Sun as well as a ASCII graphic of the moon phase for the month of April + 2012 for the location of Wexford, Ireland. Thanks to Roger Dahl for providing + this nice addition to AA+.
    • +
+

v1.50 (2 May 2012)

+
    +
  • To further improve the accuracy of the CAADynamicalTime::DeltaT method, + the code now uses a lookup table between the dates of 1 February 1973 to 1 April + 2012 (for observed values) and predicted values from April 2012 till April 2015. + These values are as provided by IERS Rapid Service/Prediction Center at + http://maia.usno.navy.mil/ser7/deltat.data + and http://maia.usno.navy.mil/ser7/deltat.preds. + This lookup table will of course need to be kept up to date as IERS update this + information. As currently coded there is a single discontinuity of c. one second + in early April 2015. At this point + http://maia.usno.navy.mil/ser7/deltat.preds + indicates an error value for DeltaT of about 0.9 seconds anyway.
    • +
  • A new CAADynamicalTime::CumulativeLeapSeconds has been provided. This method + takes as input the Julian Day value and returns the cumulative total of Leap + seconds which have been applied to this point. For more information about leap + seconds please see http://en.wikipedia.org/wiki/Leap_second. + Using this method you can now implement code which converts from Terrestrial + Time to Coordinated Universal time as follows:

    double TerrestialTime + = some calculation using AA+ algorithms(JD);
    double DeltaT = CAADynamicalTime::DeltaT(JD); +
    double UniversalTime1 = TerrestialTime - DeltaT/86400.0; //The time of the + event using the UT1 time scale
    double TerrestialAtomicTime = TerrestialTime + - (32.184/86400.0); //The time of the event using the TAI time scale
    double + CumulativeLeapSeconds = CAADynamicalTime::CumulativeLeapSeconds(JD);
    double + CoordinatedUniversalTime = (DeltaT - CumulativeLeapSeconds - 32.184)/86400.0 + + UniversalTime1; //The time of the event using the UTC time scale
    • +
+

v1.49 (1 May 2012)

+ +

v1.48 (18 March 2012)

+
    +
  • Updated copyright details.
    • +
  • All global "g_*" tables are now const. Thanks to Roger Dahl for + reporting this issue when compiling AA+ on ARM.
    • +
+

v1.47 (10 September 2011)

+
    +
  • Fixed a bug in the calculation of the "F" local variable which + represents the Moon's argument of latitude in the CAAMoonPhases::TruePhase + method. Thanks to Andrew Hammond for reporting this bug.
    • +
+

v1.46 (8 May 2011)

+
    +
  • Updated copyright details.
    • +
  • Fixed a compilation issue on GCC where size_t was undefined in various methods. + Thanks to Carsten A. Arnholm and Andrew Hammond for reporting this bug.
    • +
  • Updated CAARiseTransitSet::Calculate method to return information for circumpolar + object rather than returning bValid = false for this type of object. In the + case of a circumpolar object, the object does not rise or set on the day in + question but will of course transit at a specific time. This change means that + you do not need to recall the method with a declination value to get the transit + time. In addition if an object never rises or sets, the method will still return + the transit time even though it occurs below the horizon by setting the bTransitAboveHorizon + value to false. Note that this means that the "Transit" value will + now always include a valid value. Also the method has been renamed to Calculate. + Thanks to Andrew Hood for prompting this update
    • +
  • Fixed a bug in CAAGalileanMoons::CalculateHelper where the periodic terms + in longitude for the four satellites (Sigma1 to Sigma4) were not being converted + to radians prior to some trigonometric calculations. Thanks to Thomas Meyer + for reporting this bug.
    • +
+

v1.45 (26 November 2010)

+
    +
  • CAARefraction::RefractionFromApparent now returns a constant refraction + value for all altitudes below a certain limit. Thanks to mehrzad khoddam for + prompting this update.
    • +
  • CAARefraction::RefractionFromTrue now returns a constant refraction value + for all altitudes below a certain limit. Thanks to mehrzad khoddam for prompting + this update.
    • +
+

v1.44 (4 July 2010)

+
    +
  • Fixed various compiler warnings and errors when the code is compiled using + C++ Builder. Thanks to Neil Bingham for reporting these issues.
    • +
  • Removed unnecessary "Longitude" parameter from method CAAParallax::Ecliptic2Topocentric.
    • +
+

v1.43 (3 July 2010)

+
    +
  • Fixed a bug in the g_MoonPerigeeApogeeCoefficients3 table. The "+0.013*cos(4D + - 2F)" term was incorrectly using "+0.013*cos(4D - 20F)". The + error in the lunar distance because of this coding error is of the order of + 1 to 2 KM. Thanks to Thomas Meyer for reporting this bug.
    • +
  • Fixed a bug in the g_MoonPerigeeApogeeCoefficients1 table. The "D+2M-0.0010" + term was incorrectly using "D+2M-0.0011". Thanks to Thomas Meyer for + reporting this bug.
    • +
+

v1.42 (21 May 2010)

+
    +
  • Fixed spelling mistakes in AATest.cpp for "Palomar Observatory". + Thanks to Leighton Paul for reporting the fact that the change for v1.41 was + still spelt incorrectly.
    • +
+

v1.41 (10 May 2010)

+
    +
  • Updated copyright details.
    • +
  • Minor update to CAAPhysicalMoon::CalculateTopocentric to put a value in + a variable for easier debugging
    • +
  • Fixed up unused variable warnings in AATest.cpp
    • +
  • Fixed spelling mistakes in AATest.cpp for "Palomor Observatory"
    • +
  • The CAAEllipticalObjectDetails::AstrometricGeocenticRA value is now known + as AstrometricGeocentricRA. Thanks to Scott Marley for reporting this spelling + mistake
    • +
  • The CAANearParabolicObjectDetails::AstrometricGeocenticRA value is now known + as AstrometricGeocentricRA. Thanks to Scott Marley for reporting this spelling + mistake
    • +
  • Removed the unused Delta parameter from the CAANutation::NutationInDeclination + method. Thanks to Thomas Meyer for reporting this issue.
    • +
+

v1.40 (30 December 2009)

+
    +
  • Updated the sample app to pull in cstdio instead of cstdio.h. Thanks to + Hugo Mildenberger for suggesting this update.
    • +
  • Fixed a number of GCC compiler warnings in AATest.cpp. Thanks to Hugo Mildenberger + for suggesting this update.
    • +
  • The CMake file "CMakeLists.txt" included in the download has been + updated to work correctly on Gentoo Linux. Again thanks to Hugo Mildenberger + for this update.
    • +
+

v1.39 (24 November 2009)

+
    +
  • Updated the sample app and documentation to provide better guidance on how + to calculate the times of Moon rise, transit and set. Thanks to Mehmet Rauf + Geden for reporting this bug.
    • +
+

v1.38 (3 October 2009)

+
    +
  • Fixed a copy and paste gremlin in the CAAEarth::EclipticLatitude method + where it incorrectly used B2, B3 & B4 coefficient terms for Venus. Due to + how this bug occurred, the magnitude of the error from it would increase as + the date deviated from the year 2000. Thanks to Isaac Salzman for reporting + this bug.
    • +
+

v1.37 (30 April 2009)

+
    +
  • Fixed a bug where the M values in CAARiseTransitSet::Calculate were not being + constrained to between 0 and 1. Thanks to Matthew Yager for reporting this issue.
    • +
+

v1.36 (28 March 2009)

+
    +
  • Fixed a bug in CAARiseTransitSet::Calculate where the cyclical nature of a RA + value was not taken into account during the interpolation. In fact Meeus in + the book even refers to this issue as "Important remarks, 2." on page + 30 of the second edition. Basically when interpolating RA, we need to be careful + that the 3 values are consistent with respect to each other when any one of + them wraps around from 23H 59M 59S around to 0H 0M 0S. In this case, the RA + has increased by 0H 0M 1S of RA instead of decreasing by 23H 59M 59S. Thanks + to Corky Corcoran and Danny Flippo for both reporting this issue.
    • +
  • Fixed a bug in the calculation of the parameter "H" in CAARiseTransitSet::Calculate + when calculating the local hour angle of the body for the time of transit.
    • +
+

v1.35 (16 March 2009)

+
    +
  • Fixed a bug in CAAParabolic::Calculate(double JD, const CAAParabolicObjectElements& + elements) in the calculation of the heliocentric rectangular ecliptical, the + heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. + The code incorrectly used the value "omega" instead of "w" + in its calculation of the value "u". Unfortunately there is no worked + examples in Jean Meeus's book for these particular values, hence resulting + in my coding errors. Thanks to Jay Borseth for reporting this bug.
    • +
  • Fixed a bug in CAANearParabolic::Calculate(double JD, const CAANearParabolicObjectElements& + elements) in the calculation of the heliocentric rectangular ecliptical, the + heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. + The code incorrectly used the value "omega" instead of "w" + in its calculation of the value "u". Unfortunately there is no worked + examples in Jean Meeus's book for these particular values, hence resulting + in my coding errors. Thanks to Jay Borseth for reporting this bug.
    • +
+

v1.34 (12 February 2009)

+
    +
  • Fixed a seemingly copy and paste bug in CAAMoon::EclipticLongitude. The + layout of the code to calculate the "ThisSigma" value was incorrect. + The terms involving any value of M was being multiplied by E. This was incorrect + as documented at the bottom of page 338 from the second edition of Meeus's + book. The correct logic is to multiple only terms which involve +1M or -1M by + E and to multiple any terms which involved 2M or -2M by E*E. With the bug fixed + the worked example 47.a from the book now gives: 133.16726428105474 degrees. + This is a much closer result to the value as reported in the book which is 133.167265. + The previous buggy code was giving the value of 133.16726382897039 degrees for + the Moons apparent Longitude. The error in this example is 0.001627 arc seconds + of a degree. This error value is well within the actual reported accuracy of + 10 arc seconds for the code, but you would expect this error to increase as + the eccentricity of earths orbit increases. Thanks to Neoklis Kyriazis for reporting + this bug.
    • +
+

v1.33 (7 February 2009)

+
    +
  • Fixed a seemingly copy and paste bug in CAAMoonPerigeeApogee::TruePerigee. + The layout of the code to accumulate the "Sigma" value was incorrect. + The terms involving T (e.g. +0.00019*T, -0.00013*T etc were adding these terms + to the argument of the sin incorrectly. With the bug fixed the worked example + 50.a from the book gives: 2447442.3543003569 JDE or 1988 October 7 at 20h:30m:11.5 + seconds. The previous buggy code was giving the same value of 2447442.3543003569, + but this would be the case because T was a small value in the example. You would + expect the error in the calculated to be bigger as the date departs from the + Epoch 2000.0. Thanks to Neoklis Kyriazis for reporting this bug.
    • +
  • Optimized the layout of the MoonCoefficient1 structure in the AAMoon.cpp + module by making all elements integers instead of doubles.
    • +
  • Optimized the layout of the PlutoCoefficient1 structure in the AAPluto.cpp + module by making all elements integers instead of doubles.
    • +
  • Updated the static version of CAADate::DaysInMonth to compile cleanly using + code analysis.
    • +
  • Updated copyright details.
    • +
+

v1.32 (11 November 2008)

+
    +
  • Fixed a bug in CAAElliptical::Calculate(double JD, const CAAEllipticalObjectElements& + elements) in the calculation of the heliocentric rectangular ecliptical, the + heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. + The code incorrectly used the value "omega" instead of "w" + in its calculation of the value "u". Unfortunately there is no worked + examples in Jean Meeus's book for these particular values, hence resulting + in my coding errors. Thanks to Carsten A. Arnholm for reporting this bug. +
    • +
+

v1.31 (26 July 2008)

+
    +
  • Changed name of CAASun::EclipticRectangularCoordinatesMeanEquinox to CAASun::EquatorialRectangularCoordinatesMeanEquinox + to refer to the fact that it returns equatorial coordinates instead of ecliptic + coordinates. Thanks to Frank Trautmann for reporting this issue
    • +
  • Updated copyright details.
    • +
  • zip file now ships with a VC 2005 solution instead of a VC 6 solution file.
    • +
  • Code now compiles cleanly using Code Analysis (/analyze)
    • +
+

v1.30 (29 January 2007)

+
    +
  • The static version of the CAADate::Set method has been renamed to DateToJD + to avoid any confusion with the other Set methods. Thanks to Ing. Taras Kapuszczak + for reporting this issue.
    • +
  • The method CAADate::InGregorianCalendar has now also been renamed to the + more appropriate CAADate::AfterPapalReform.
    • +
  • Reinstated the bGregorianCalendar parameter for the CAADate constructors + and Set methods.
    • +
  • Changed the parameter layout for the static version of CAADate::DaysInMonth
    • +
  • Addition of a CAADate::InGregorianCalendar method.
    • +
  • Addition of a CAADate::SetInGregorianCalendar method.
    • +
  • Reworked implementation of GregorianToJulian method.
    • +
  • Reworked implementation of JulianToGregorian method.
    • +
+

v1.29 (26 January 2007)

+
    +
  • After a bug report from Ing. Taras Kapuszczak that a round trip of the date + 25 January 100 as specified in the Gregorian calendar to the Julian day number + and then back again produces the incorrect date 26 January 100, I've spent + some time looking into the 2 key Meeus Julian Day algorithms. It seems that + the algorithms which converts from a Calendar date to JD works ok for propalactive + dates, but the reverse algorithm which converts from a JD to a Calendar date + does not. Since I made the change in behaviour to support propalactive Gregorian + dates to address issues with the Moslem calendar (and since then I have discovered + further unresolved bugs in the Moslem calendar algorithms and advised people + to check out my DTime+ + library instead), I am now reverting these changes so that the date algorithms + are now as presented in Meeus's book. This means that dates after 15 October + 1582 are assumed to be in the Gregorian calendar and dates before are assumed + to be in the Julian calendar. This change also means that some of the CAADate + class methods no longer require the now defunct "bool" parameter to + specify which calendar the date represents. As part of the testing for this + release verification code has been added to AATest.cpp to test all the dates + from JD 0 (i.e. 1 January -4712) to a date long in the future. Hopefully with + this verification code, we should have no more reported issues with the class + CAADate. Again if you would prefer a much more robust and comprehensive Date + time class framework, don't forget to check out the authors + DTime+ library.
    • +
  • Optimized CAADate constructor code
    • +
  • Provided a static version of CAADate::DaysInMonth() method
    • +
  • Discovered an issue in CAADate::JulianToGregorian. It seems the algorithm + presented in the book to do conversion from the Julian to Gregorian calendar + fails for Julian dates before the Gregorian calendar reform in 1582. I have + sent an email to Jean Meeus to find out if this is a bug in my code or a deficiency + in the algorithm presented. Currently the code will assert in this function + if it is called for a date before the Gregorian reform.
    • +
  • Changed name of CAAMoonIlluminatedFraction::IluminatedFraction to CAAMoonIlluminatedFraction::IlluminatedFraction. + Thanks to Ing. Taras Kapuszczak for reporting this typo!.
    • +
+

v1.28 (25 January 2007)

+
    +
  • Fixed a minor compliance issue with GCC in the AACoordinateTransformation.h + to do with the declaration of various methods. Thanks to Mathieu Peyréga for + reporting this issue.
    • +
+

v1.27 (17 January 2007)

+
    +
  • Updated copyright details.
    • +
  • Addition of a AAPLUS_EXT_CLASS preprocessor macro to allow the code to be + more easily added to an extension DLL. Thanks to Mathieu Peyréga for suggesting + this update.
    • +
  • Changed name of CAASun::ApparentEclipticLongtitude to CAASun::ApparentEclipticLongitude. + Thanks to Mathieu Peyréga for reporting this typo!.
    • +
+

v1.26 (29 November 2006)

+
    +
  • Fixed a bug where CAAEclipticalElements::Calculate and CAAEclipticalElements::FK4B1950ToFK5J2000 + would return the incorrect value for the reduced inclination when the initial + inclination value was > 90 degrees.
    • +
  • Addition of a new module called CAANearParabolic. This new class provides + functionality for orbits which can be best modelled as near parabolic i.e. where + the eccentricity is between 0.98 and 1.02. Chapter 35 in the book includes support + for calculating Near-parabolic orbits, but the code is provided in BASIC and + the algorithm as presented has problems converging when the eccentricity is + close to 1. Instead the algorithms used in this new module are based upon the + worked examples which Paul Schlyter has provided at + http://stjarnhimlen.se/comp/tutorial.html#16.
    • +
+

23 October 2006

+
    +
  • Minor update to fix some incorrect book mark links in the documentation.
    • +
+

v1.25 (5 June 2006)

+
    +
  • Fixed a bug in CAAElliptical::Calculate(double JD, EllipticalObject object) + where the correction for nutation was incorrectly using the Mean obliquity of + the ecliptic instead of the true value. The results from the test program now + agree much more closely with the example Meeus provides which is the position + of Venus on 1992 Dec. 20 at 0h Dynamical Time. I've also checked the positions + against the JPL Horizons web site and the agreement is much better. Because + the True obliquity of the Ecliptic is defined as the mean obliquity of the ecliptic + plus the nutation in obliquity, it is relatively easy to determine the magnitude + of error this was causing. From the chapter on Nutation in the book, and specifically + the table which gives the cosine coefficients for nutation in obliquity you + can see that the absolute worst case error would be the sum of the absolute + values of all of the coefficients and would have been c. 10 arc seconds of degree, + which is not a small amount!. This value would be an absolute worst case and + I would expect the average error value to be much much smaller (probably much + less than an arc second). Anyway the bug has now been fixed. Thanks to Patrick + Wong for pointing out this rather significant bug.
    • +
+

18 May 2006

+
    +
  • Jean Meeus has confirmed that there is definitely a bug in the Moslem calendar + algorithms which make up the CAAMoslemCalendar class. He is not the original + author of these algorithms, so he was unable to explain why they fail for some + dates. As previously mentioned please use the + DTime+ classes to avoid + this issue.
    • +
+

v1.24 (12 May 2006)

+
    +
  • Updated the documentation to use the same style as the web site.
    • +
  • Fixed a transcription error in the third coefficient used to calculate the + R0 term for the radius vector of Mercury. Thanks to John Kruso for reporting + this issue.
    • +
  • Fixed a transcription error in the third coefficient used to calculate the + R1 term for the radius vector of Mercury. Thanks to John Kruso for reporting + this issue.
    • +
  • Updated copyright details.
    • +
+

1 May 2006

+
    +
  • While testing v3.01 of + DTime+ I discovered some bugs in the CAAMoslemCalendar class. Specifically + testing some dates by creating a Moslem date, then converting to a Julian date + and then converting back to the Moslem calendar highlighted some dates which + fail this roundtrip test. If you are serious about developing for the Moslem + calendar, then please use the Moslem calendar support in + DTime+ which uses an independent + algorithm for the Moslem calendar which does not have this problem. I will report + this issue to Jean Meeus and possibly have a fix for it in the next update to + AA+.
    • +
+

v1.23 (16 November 2005)

+
    +
  • Fixed a transcription error in the second coefficient used to calculate + the longitude of Mercury. Thanks to "Maurizio" for reporting this + bug.
    • +
+

v1.22 (5 July 2005)

+
    +
  • Fix for a bug to ensure that values returned from CAAEquationOfTime::Calculate + does not return discontinuities. Instead it now returns negative values when + required.
    • +
+

v1.21 (3 June 2005)

+
    +
  • Minor update to "CMakeLists.txt" file to fix a case sensitivity + issue. Thanks to Andrew Maclean for reporting this issue.
    • +
+

v1.20 (2 June 2005)

+
    +
  • Seems the case sensitivity issue fixed in v1.17 was not fixed because I + forgot to update the files in the zip download. Thanks to Andrew Maclean for + reporting this issue.
    • +
  • A "CMakeLists.txt" file is now included in the download. This + file is used by CMake (http://www.cmake.org/HTML/Index.html) + which is a cross-platform makefile generator. This allows the AA+ code to be + easily compiled on Cygwin, Linux and the usual MSVC compilers. Thanks to Andrew + Maclean for this nice addition.
    • +
  • Some of the functions in the class "CAACoordinateTransformation" + have been made inline to improve performance.
    • +
  • Made all structures used by AA+ classes. This is a minor tidy up issue more + than anything. Also ensured all class members are initialized to sane defaults.
    • +
+

v1.19 (13 May 2005)

+
    +
  • Fix for CAADate::Set(double JD, bool bGregorianCalendar) not setting the + m_bGregorianCalendar member variable correctly.
    • +
+

v1.18 (21 April 2005)

+
    +
  • Renamed "AAAberation.cpp" to "AAAberration.cpp" so that + all source code filenames match their corresponding header files. Thanks to + Jürgen Schuck for suggesting this update.
    • +
+

v1.17 (1 February 2005)

+
    +
  • Fixed a case sensitivity problem (at least on Unix systems) related to the + stdafx.h/cpp files. Now filename is all lowercase. Thanks to Mika Heiskanen + for reporting this problem.
    • +
  • Change the ordering of items in stdafx.h so that you get a clean compile + on gcc. Thanks to Mika Heiskanen for reporting this problem.
    • +
  • Fixed a problem with the declaration of the variable "Index" in + the function CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen for reporting + this problem.
    • +
  • Removed usage of MFC from sample app as it is not required.
    • +
  • Verfied the building of the code on GCC thro the use of Cygwin's port + of GCC.
    • +
+

v1.16 (31 January 2005)

+
    +
  • Fixed a bug in CAAParabolic::Calculate where the JD value was being used + incorrectly in the loop. Thanks to Mika Heiskanen for reporting this problem.
    • +
  • Fixed a GCC warning in CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen + for reporting this problem.
    • +
  • Fixed a GCC compiler error related to missing include for memset in AAEclipses.cpp. + Thanks to Mika Heiskanen for reporting this problem.
    • +
+

v1.15 (30 January 2005)

+
    +
  • Replaced all usage of BOOL with bool to aid in cross compiler compatibility. + This also means that all occurrences of TRUE and FALSE are replaced with true + and false respectively. Thanks to Mika Heiskanen for reporting this issue. +
    • +
  • cmath header file is now used rather than math.h. Also if now does not use + the #pragma message text based on a define which is MS C specific. Again thanks + to Mika Heiskanen for reporting this issue.
    • +
  • Now uses asssert instead of the MFC specific ASSERT. Again thanks to Mika + Heiskanen for reporting this issue.
    • +
  • Addition of a new global header file "AA+.h" which allows you + to include all of the AA+ framework through one header.
    • +
  • Code now use static_cast's rather than old C-style casts. Again thanks + to Mika Heiskanen for reporting this issue.
    • +
  • Optimized some of the code in assert's which avoid unitialized variables + when build in release mode. Again thanks to Mika Heiskanen for reporting this + issue.
    • +
+

v1.14 (21 January 2005)

+
    +
  • Fixed a small but important error in the function PhaseAngle(r, R, Delta). + The code was producing incorrect results and raises acos DOMAIN errors and floating + point exceptions when calculating phase angles for the inner planets. Thanks + to MICHAEL R. MEYER for reporting this problem.
    • +
+

v1.13 (31 December 2004)

+
    +
  • Fix for CAAElliptical::MinorPlanetMagnitude where the phase angle was being + incorrectly converted from Radians to Degress when it was already in degrees. + Thanks to Martin Burri for reporting this problem.
    • +
+

v1.12 (10 November 2004)

+
    +
  • Fix for CAADate::Get so that it works correctly for propalactive calendar + dates. The Meeus implementation automatically assumes the Gregorian Calendar + came into effect on 15 October 1582 (JD: 2299161), while the CAADate implementation + has a "m_bGregorianCalendar" value to decide if the date was specified + in the Gregorian or Julian Calendars. This difference means in effect that CAADate + fully supports propalactive versions of both calendar systems. This problem + was discovered when testing the Moslem calendar code which involves a round + trip between Moslem -> Julian -> Gregorian calendars.
    • +
+

v1.11 (15 October 2004)

+
    +
  • bValid variable is now correctly set in CAARiseTransitSet::Calculate if the objects + does actually rise and sets.
    • +
+

v1.10 (17 September 2004)

+
    +
  • Fixed a number of warnings in the code when compiled in VC .Net 2003 with + the "Force conformance in For Loop Scope" compiler option is set.
    • +
+

6 September 2004

+
    +
  • Minor update to the documentation plus a full spell check!!
    • +
+

v1.09 (15 June 2004)

+
    +
  • Fixed a typo in the calculation of SunLongDash in CAAPhysicalSun::Calculate. + Thanks to Brian Orme for spotting this problem.
    • +
+

v1.08 (31 May 2004)

+
    +
  • Added a missing coefficient to g_L1JupiterCoefficients array as used by + CAAJupiter::EclipticLongitude. Thanks to Brian Orme for reporting this problem.
    • +
  • Added missing g_B5JupiterCoefficients[] in CAAJupiter::EclipticLatitude. + Again thanks to Brian Orme for reporting this problem.
    • +
  • In CAASaturn::EclipticLongitude the g_L5SaturnCoefficients[] were not included. + Thanks to Brian Orme for reporting this problem.
    • +
  • In CAASaturn::EclipticLatitude the g_B5SaturnCoefficients[] were not included. + Thanks to Brian Orme for reporting this problem.
    • +
  • In CAASaturn::RadiusVector the g_R5SaturnCoefficients[] were not included. + Thanks to Brian Orme for reporting this problem.
    • +
+

v1.07 (24 May 2004)

+
    +
  • Fixed a missing break statement in CAAElliptical::Calculate. Thanks to Carsten + A. Arnholm for reporting this bug.
    • +
  • Also fixed an issue with the calculation of the apparent distance to the + Sun.
    • +
+

27 April 2004

+
    +
  • Minor update to the documentation describing CAAElliptical::MeanMotionFromSemiMajorAxis
    • +
+

V1.06 (22 February 2004)

+
    +
  • Calculation of semi durations for eclipses in CAAEclipses is now calculated + only when required
    • +
+

V1.05 (22 February 2004)

+
    +
  • Fixed a bug in the calculation of the phase type from the k value in CAAMoonPhases::TruePhase.
    • +
+

V1.04 (21 February 2004)

+
    +
  • The optical libration in longitude for the moon is now returned in the range + -180 - 180 degrees
    • +
+

V1.03 (14 February 2004)

+
    +
  • Fixed a "minus zero" bug in the function CAACoordinateTransformation::DMSToDegrees. + The sign of the value is now taken explicitly from the new bPositive boolean + parameter. Thanks to Patrick Wallace for reporting this problem.
    • +
+

V1.02 (9 February 2004)

+
    +
  • Replaced all calls to the macro "INT" with the function CAADate::INT + which is what they should have been. The only affected class for this was CAAMoslemCalendar.
    • +
  • Fixed a number of level 4 warnings in the CAAStellarMagnitudes class when + the code is compiled in VC.Net 2003.
    • +
+

V1.01 (9 February 2004)

+
    +
  • Updated the values used in the calculation of the a1 and a2 constants for + Saturn's moon Rhea (satellite V) following an email from Jean Meeus confirming + that these constants are indeed incorrect as published in the book.
    • +
+

V1.0 (6 February 2004)

+
    +
  • Initial public release.
    • +
+

 

+

 

+

 

+

Class Framework Reference

+

The framework consists of the following classes:

+

 

+

CAAAberration

+

CAAAngularSeparation

+

CAABinaryStar

+

CAACoordinateTransformation

+

CAADate

+

CAADiameters

+

CAADynamicalTime

+

CAAEarth

+

CAAEaster

+

CAAEclipses

+

CAAEclipticalElements

+

CAAElementsPlanetaryOrbit

+

CAAElliptical

+

CAAELP2000

+

CAAELPMPP02

+

CAAEquationOfTime

+

CAAEquinoxesAndSolstices

+

CAAEquinoxesAndSolstices2

+

CAAFK5

+

CAAGalileanMoons

+

CAAGlobe

+

CAAIluminatedFraction

+

CAAInterpolate

+

CAAJewishCalendar

+

CAAJupiter

+

CAAKepler

+

CAAMars

+

CAAMercury

+

CAAMoon

+

CAAMoonIlluminatedFraction

+

CAAMoonMaxDeclinations

+

CAAMoonMaxDeclinations2

+

CAAMoonNodes

+

CAAMoonNodes2

+

CAAMoonPerigeeApogee

+

CAAMoonPerigeeApogee2

+

CAAMoonPhases

+

CAAMoonPhases2

+

CAAMoslemCalendar

+

CAANearParabolic

+

CAANeptune

+

CAANodes

+

CAANutation

+

CAAParabolic

+

CAAParallactic

+

CAAParallax

+

CAAPhysicalJupiter

+

CAAPhysicalMars

+

CAAPhysicalMoon

+

CAAPhysicalSun

+

CAAPlanetaryPhenomena

+

CAAPlanetaryPhenomena2

+

CAAPlanetPerihelionAphelion

+

CAAPlanetPerihelionAphelion2

+

CAAPluto

+

CAAPrecession

+

CAARefraction

+

CAARiseTransitSet +(Deprecated)

+

CAARiseTransitSet2

+

CAASaturn

+

CAASaturnMoons

+

CAASaturnRings

+

CAASidereal

+

CAAStellarMagnitudes

+

CAASun

+

CAAUranus

+

CAAVenus

+

CAAVSOP2013

+

CAAVSOP87_EMB

+

CAAVSOP87_Jupiter

+

CAAVSOP87_Mars

+

CAAVSOP87_Mercury

+

CAAVSOP87_Neptune

+

CAAVSOP87_Saturn

+

CAAVSOP87_Uranus

+

CAAVSOP87_Venus

+

CAAVSOP87A_Earth

+

CAAVSOP87A_EMB

+

CAAVSOP87A_Jupiter

+

CAAVSOP87A_Mars

+

CAAVSOP87A_Mercury

+

CAAVSOP87A_Neptune

+

CAAVSOP87A_Saturn

+

CAAVSOP87A_Uranus

+

CAAVSOP87A_Venus

+

CAAVSOP87B_Earth

+

CAAVSOP87B_Jupiter

+

CAAVSOP87B_Mars

+

CAAVSOP87B_Mercury

+

CAAVSOP87B_Neptune

+

CAAVSOP87B_Saturn

+

CAAVSOP87B_Uranus

+

CAAVSOP87B_Venus

+

CAAVSOP87C_Earth

+

CAAVSOP87C_Jupiter

+

CAAVSOP87C_Mars

+

CAAVSOP87C_Mercury

+

CAAVSOP87C_Neptune

+

CAAVSOP87C_Saturn

+

CAAVSOP87C_Uranus

+

CAAVSOP87C_Venus

+

CAAVSOP87D_Earth

+

CAAVSOP87D_Jupiter

+

CAAVSOP87D_Mars

+

CAAVSOP87D_Mercury

+

CAAVSOP87D_Neptune

+

CAAVSOP87D_Saturn

+

CAAVSOP87D_Uranus

+

CAAVSOP87D_Venus

+

CAAVSOP87E_Earth

+

CAAVSOP87E_Jupiter

+

CAAVSOP87E_Mars

+

CAAVSOP87E_Mercury

+

CAAVSOP87E_Neptune

+

CAAVSOP87E_Saturn

+

CAAVSOP87E_Sun

+

CAAVSOP87E_Uranus

+

CAAVSOP87E_Venus

+

 

+

 

+

CAAberration

+

This class provides for calculation of the effects of aberration. This refers +to Chapter 23 in the book.

+

 

+

Functions this class provides include:

+

EarthVelocity

+

EclipticAberration

+

EquatorialAberration

+

 

+

CAAAberration::EarthVelocity

+

static CAA3DCoordinate EarthVelocity(double JD, +bool bHighPrecision)

+

Return Value

+

3D rectangular heliocentric equatorial velocity of the Earth based on the fixed +equator and equinox of FK5 for the epoch J2000.0. The units of each coordinate +returned are in 10 to the power of -8 astronomical units per day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAAberration::EclipticAberration

+

static CAA2DCoordinate EclipticAberration(double Lambda, +double Beta, double JD, +bool bHighPrecision)

+

Return Value

+

Returns the correction due to aberration. The X value will contain the ecliptic +longitude correction in degrees and Y will contain the ecliptic latitude correction +in degrees.

+

Parameters

+

Lambda The ecliptic longitude in degrees.

+

Beta The ecliptic latitude in degrees.

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAAberration::EquatorsialAberration

+

static CAA2DCoordinate EquatorialAberration(double Alpha, +double Delta, double JD, +bool bHighPrecision)

+

Return Value

+

Returns the correction due to aberration. The X value will contain the right +ascension correction expressed as an hour angle and Y will contain the declination +correction in degrees.

+

Parameters

+

Alpha The right ascension expressed as an hour angle.

+

Delta The declination in degrees.

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAAngularSeparation

+

This class provides the algorithms which obtain various separation distances +between celestial objects. This refers to Chapter 17, 19 & 20 in the book.

+

 

+

Functions this class provides include:

+

Separation

+

PositionAngle

+

DistanceFromGreatArc

+

SmallestCircle

+

 

+

CAAAngularSeparation::Separation

+

static double Separation(double Alpha1, double Delta1, +double Alpha2, double Delta2)

+

Return Value

+

Returns the distance between the two positions in degrees.

+

Parameters

+

Alpha1 The first right ascension expressed as an hour angle.

+

Delta1 The first declination in degrees

+

Alpha2 The second right ascension expressed as an hour angle.

+

Delta2 The second declination in degrees

+

 

+

CAAAngularSeparation::PositionAngle

+

static double PositionAngle(double Alpha1, double Delta1, +double Alpha2, double Delta2)

+

Return Value

+

Returns the position angle of (Alpha1, Delta1) relative to (Alpha2, Delta2) in +degrees.

+

Parameters

+

Alpha1 The first right ascension expressed as an hour angle.

+

Delta1 The first declination in degrees

+

Alpha2 The second right ascension expressed as an hour angle.

+

Delta2 The second declination in degrees

+

 

+

CAAAngularSeparation::DistanceFromGreatArc

+

static double DistanceFromGreatArc(double Alpha1, double +Delta1, double Alpha2, double Delta2, double +Alpha3, double Delta3)

+

Return Value

+

Returns the distance of (Alpha3, Delta3) to the great circle (Alpha1, Delta1) +- (Alpha2, Delta2) in degrees.

+

Parameters

+

Alpha1 The first right ascension expressed as an hour angle.

+

Delta1 The first declination in degrees

+

Alpha2 The second right ascension expressed as an hour angle.

+

Delta2 The second declination in degrees

+

Alpha3 The third right ascension expressed as an hour angle.

+

Delta3 The third declination in degrees

+

 

+

CAAAngularSeparation::SmallestCircle

+

static double SmallestCircle(double Alpha1, double Delta1, +double Alpha2, double Delta2, double Alpha3, +double Delta3, bool& bType1)

+

Return Value

+

Returns the diameter of the smallest circle encompassing the 3 points in degrees.

+

Parameters

+

Alpha1 The first right ascension expressed as an hour angle.

+

Delta1 The first declination in degrees

+

Alpha2 The second right ascension expressed as an hour angle.

+

Delta2 The second declination in degrees

+

Alpha3 The third right ascension expressed as an hour angle.

+

Delta3 The third declination in degrees

+

bType1 Upon return will be true if the smallest circle is of type 1, otherwise +false, implying smallest circle is of type 2.

+

 

+

 

+

CAABinaryStar

+

This class provides for calculation of the position of a Binary Star system. +This refers to Chapter 57 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

ApparentEccentricity

+

 

+

CAABinaryStar::Calculate

+

static CAABinaryStarDetails Calculate(double t, double +P, double T, double e, double a, +double i, double omega, double w)

+

Return Value

+

A class containing

+

r The radius vector of the secondary star in arc seconds of a degree.

+

Theta The apparent position angle of the secondary star in degrees.

+

Rho The angular separation between the two stars in arc seconds of a +degree.

+

x The x cartesian coordinate value of the secondary star in arc +seconds of a degree.

+

y The y cartesian coordinate value of the secondary star in arc +seconds of a degree.

+

Parameters

+

t The time given in years and decimals to perform the calculation for.

+

P The period of revolution expressed in mean solar years.

+

T The time of periastron passage given in years and decimals.

+

e Eccentricity of the true orbit.

+

a The semi major axis expressed in seconds of a degree.

+

i The inclination of the plane of the true orbit in degrees to the plane +at right angles to the line of sight.

+

omega The position angle of the ascending node in degrees.

+

w The longitude of the periastron in degrees.

+

 

+

CAABinaryStar::ApparentEccentricty

+

static double ApparentEccentricity(double e, +double i, double w)

+

Return Value

+

The apparent eccentricity of the binary star orbit

+

Parameters

+

e Eccentricity of the true orbit.

+

i The inclination of the plane of the true orbit in degrees to the plane +at right angles to the line of sight.

+

w The longitude of the periastron in degrees.

+

 

+

 

+

CAACoordinateTransformation

+

This class provides for the transformations of the coordinates as well as helper +angle methods. This refers to Chapter 13 and parts of Chapter 1 in the book.

+

 

+

Functions this class provides include:

+

Equatorial2Ecliptic

+

Ecliptic2Equatorial

+

Equatorial2Horizontal

+

Horizontal2Equatorial

+

Equatorial2Galactic

+

Galactic2Equatorial

+

PI

+

DegreesToRadians

+

RadiansToDegrees

+

RadiansToHours

+

HoursToRadians

+

HoursToDegrees

+

DegreesToHours

+

DMSToDegrees

+

MapTo0To360Range

+

MapTo0To24Range

+

MapTo0To2PIRange

+

MapToMinus90To90Range

+

 

+

+CAACoordinateTransformation::Equatorial2Ecliptic

+

static CAA2DCoordinate Equatorial2Ecliptic(double Alpha, double +Delta, double Epsilon)

+

Return Value

+

Returns the converted ecliptic coordinates in a CAA2DCoordinate class. The x +value in the class corresponds to the ecliptic longitude in degrees and the y value +corresponds to the ecliptic latitude in degrees.

+

Parameters

+

Alpha The right ascension expressed as decimal hours.

+

Delta The declination in degrees.

+

Epsilon The obliquity of the ecliptic in degrees.

+

Remarks

+

The transformation of coordinates from Equatorial to Ecliptic. This refers to +algorithm 13.1 and 13.2 on page 93.

+

 

+

+CAACoordinateTransformation::Ecliptic2Equatorial

+

static CAA2DCoordinate Ecliptic2Equatorial(double Lambda, double +Beta, double Epsilon)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the right +ascension in decimal hours and the y +value corresponds to the declination in degrees.

+

Parameters

+

Lambda The ecliptic longitude in degrees.

+

Beta The ecliptic latitude in degrees.

+

Epsilon the obliquity of the ecliptic in degrees.

+

Remarks

+

The transformation of coordinates from Ecliptic to Equatorial. This refers to +algorithm 13.3 and 13.4 on page 93.

+

 

+

+CAACoordinateTransformation::Equatorial2Horizontal

+

static CAA2DCoordinate Equatorial2Horizontal(double LocalHourAngle, +double Delta, double Latitude)

+

Return Value

+

Returns the converted horizontal coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the azimuth in degrees west of south and the y value corresponds +to the altitude in degrees.

+

Parameters

+

LocalHourAngle The local hour angle in +decimal hours, measured westwards from the South. To convert a equatorial +right ascension to a local hour angle you can use the formula as mentioned on +page 92: Local hour angle +(H) = apparent sidereal time at Greenwich (theta) - observer's longitude (L, +positive west, negative east from Greenwich) - right ascension. You should of +course make sure that all the values used in this formula are expressed as +decimal hours before applying the formula (in particular the observer's +longitude "L" value).

+

Delta The declination in degrees.

+

Latitude The standard latitude of the position in degrees.

+

Remarks

+

The transformation of coordinates from Equatorial to Horizontal. This refers +to algorithm 13.5 and 13.6 on page 93.

+

 

+

+CAACoordinateTransformation::Horizontal2Equatorial

+

static CAA2DCoordinate Horizontal2Equatorial(double A, double +h, double Latitude)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the local hour +angle in decimal hours and the y +value corresponds to the declination in degrees.

+

Parameters

+

A The azimuth in degrees west of south.

+

h The altitude in degrees

+

Latitude The standard latitude of the position in degrees.

+

Remarks

+

The transformation of coordinates from Horizontal to Equatorial. This refers +to the two algorithms on the top of page 94. To convert the returned local hour +angle back to a right ascension in decimal hours you can use the formula as +mentioned on page 92: right ascension (alpha) = apparent sidereal time at +Greenwich (theta) - Local hour angle (H) - observer's longitude (L, positive +west, negative east from Greenwich). You should of course make sure that all the +values used in this formula are expressed as decimal hours before applying the +formula (in particular the observer's longitude "L" value).

+

 

+

+CAACoordinateTransformation::Equatorial2Galactic

+

static CAA2DCoordinate Equatorial2Galactic(double Alpha, double +Delta)

+

Return Value

+

Returns the converted galactic coordinates in a CAA2DCoordinate class. The x +value in the class corresponds to the galactic longitude in degrees and the y value +corresponds to the galactic latitude in degrees.

+

Parameters

+

Alpha The right ascension in decimal hours.

+

Delta The declination in degrees.

+

Remarks

+

The transformation of coordinates from Equatorial to Galactic. This refers to +algorithm 13.7 and 13.8 on page 94.

+

 

+

+CAACoordinateTransformation::Galactic2Equatorial

+

static CAA2DCoordinate Galactic2Equatorial(double l, double +b)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the right +ascension in decimal hours and the y +value corresponds to the declination in degrees.

+

Parameters

+

l  The galactic longitude expressed in degrees.

+

b The galactic latitude expressed in degrees.

+

Remarks

+

The transformation of coordinates from Galactic to Equatorial. This refers to +the last two algorithms on page 94.

+

 

+

CAACoordinateTransformation::PI

+

static double PI()

+

Return Value

+

Returns the constant value of pi i.e 3.1415926...

+

 

+

CAACoordinateTransformation::DegreesToRadians

+

static double DegreesToRadians(double Degrees)

+

Return Value

+

Returns the value in radians which was converted from degrees.

+

Parameters

+

Degrees The angular value to convert measured in degrees.

+

 

+

CAACoordinateTransformation::RadiansToDegrees

+

static double RadiansToDegrees(double Radians)

+

Return Value

+

Returns the value in degrees which was converted from radians.

+

Parameters

+

Radians The angular value to convert measured in radians.

+

 

+

CAACoordinateTransformation::RadiansToHours

+

static double RadiansToHours(double Radians)

+

Return Value

+

Returns the value expressed as an hour angle which was converted from radians. +

+

Parameters

+

Radians The angular value to convert measured in radians.

+

 

+

CAACoordinateTransformation::HoursToRadians

+

static double HoursToRadians(double Hours)

+

Return Value

+

Returns the value in radians which was converted from hours.

+

Parameters

+

Hours The numeric value to convert measured in hours.

+

 

+

CAACoordinateTransformation::HoursToDegrees

+

static double HoursToDegrees(double Hours)

+

Return Value

+

Returns the value in degrees which was converted from hours.

+

Parameters

+

Hours The numeric value to convert measured in hours.

+

 

+

CAACoordinateTransformation::DegreesToHours

+

static double DegreesToHours(double Degrees)

+

Return Value

+

Returns the value in hours which was converted from degrees.

+

Parameters

+

Degrees The angular value to convert measured in degrees.

+

 

+

CAACoordinateTransformation::DMSToDegrees

+

DMSToDegrees(double Degrees, double Minutes, double +Seconds, bool bPositive = true)

+

Return Value

+

Returns the value in degrees which was converted from degrees, minutes and seconds. +

+

Parameters

+

Degrees  The degree part of the angular value to convert.

+

Minutes The minute part of the angular value to convert.

+

Seconds The second part of the angular value to convert.

+

bPositive true if the input value corresponds to a non-negative value +with false implying the value is positive

+

Remarks

+

To convert the angle 21° 44' 07" you would use DMSToDegrees(21, 44, +7, true).

+

To convert the angle -12° 47' 22" you would use DMSToDegrees(12, 47, +22, false) or DMSToDegrees(-12, -47, -22, true).

+

To convert the angle -0° 32' 41" you must use DMSToDegrees(0, 32, 41, +false).

+

 

+

CAACoordinateTransformation::MapTo0To360Range

+

static double MapTo0To360Range(double Degrees)

+

Return Value

+

Maps an arbitrary angular value to the range 0 to 360. i.e. inputting the value +-2 will return a value of 258.

+

Parameters

+

Degrees The angular value.

+

 

+

CAACoordinateTransformation::MapTo0To24Range

+

static double MapTo0To24Range(double HourAngle)

+

Return Value

+

Maps an arbitrary value to the range 0 to 24. i.e. inputting the value -2 will return a value of 22.

+

Parameters

+

HourAngle The hour angle.

+

 

+

CAACoordinateTransformation::MapTo0To2PIRange

+

static double MapTo0To2PIRange(double Angle)

+

Return Value

+

Maps an arbitrary value to the range 0 to 2*PI. i.e. inputting the value -1 will return a value of +5.2831853071795862.

+

Parameters

+

Angle The angle in radians.

+

 

+

CAACoordinateTransformation::MapToMinus90To90Range

+

static double MapToMinus90To90Range(double Degrees)

+

Return Value

+

Maps an arbitrary angular value to the range -90 to 90.

+

Parameters

+

Degrees The angular value.

+

 

+

 

+

CAADate

+

This class provides the algorithms which convert between the Gregorian and Julian +calendars and the Julian Day. This refers to Chapter 7 and parts of Chapter 9 in +the book.

+

 

+

Functions this class provides include:

+

CAADate

+

IsLeap

+

Julian

+

operator double

+

Day

+

Month

+

Year

+

Hour

+

Minute

+

Second

+

Set

+

SetInGregorianCalendar

+

InGregorianCalendar

+

Get

+

DayOfWeek

+

DayOfYear

+

DaysInMonth

+

DaysInYear

+

DayOfYearToDayAndMonthAndDate

+

JulianToGregorian

+

GregorianToJulian

+

Leap

+

FractionalYear

+

AfterPapalReform

+

 

+

CAADate::CAADate

+

CAADate()

+

CAADate(long Year, long Month, double Day, +bool bGregorianCalendar)

+

CAADate(long Year, long Month, double Day, +double Hour, double Minute, double Second, +bool bGregorianCalendar)

+

CAADate(double JD, bool bGregorianCalendar)

+

Parameters

+

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

+

Month The month of the year (1 for January to 12 for December).

+

Day The day of the month (Can include decimals).

+

Hour The hour (Can include decimals).

+

Minute The minute (Can include decimals).

+

Second The seconds (Can include decimals).

+

JD The Julian day including decimals.

+

bGregorianCalendar true to imply a date in the Gregorian Calendar, false +means use the Julian Calendar.

+

Remarks

+

Constructs a date given a variety of parameters.

+

 

+

CAADate::IsLeap

+

static bool IsLeap(long Year, bool bGregorianCalendar)

+

Return Value

+

true if the specified year is leap otherwise false.

+

Parameters

+

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

+

bGregorianCalendar true to imply a date in the Gregorian Calendar, false +means use the Julian Calendar.

+

 

+

CAADate::Julian

+

double Julian() const

+

Return Value

+

Returns the underlying Julian Day including decimals.

+

 

+

CAADate::operator double

+

operator double() const

+

Return Value

+

Returns the underlying Julian Day including decimals.

+

 

+

CAADate::Day

+

long Day() const

+

Return Value

+

Returns the day of the month this date represents.

+

 

+

CAADate::Month

+

long Month() const

+

Return Value

+

Returns the month (1 - 12) this date represents.

+

 

+

CAADate::Year

+

long Year() const

+

Return Value

+

Returns the year this date represents.

+

 

+

CAADate::Hour

+

long Hour() const

+

Return Value

+

Returns the hour this date represents.

+

 

+

CAADate::Minute

+

long Minute() const

+

Return Value

+

Returns the minute this date represents.

+

 

+

CAADate::Second

+

double Second() const

+

Return Value

+

Returns the seconds this date represents.

+

 

+

CAADate::Set

+

void Set(long Year, long Month, double +Day, double Hour, double Minute, double +Second, bool bGregorianCalendar)

+

void Set(double JD, bool bGregorianCalendar)

+

Parameters

+

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

+

Month The month of the year (1 for January to 12 for December).

+

Day The day of the month (Can include decimals).

+

Hour The hour (Can include decimals).

+

Minute The minute (Can include decimals).

+

Second The seconds (Can include decimals).

+

JD The Julian day including decimals

+

bGregorianCalendar true to imply a date in the Gregorian Calendar, false +means use the Julian Calendar.

+

Remarks

+

Allows the date to be modified after construction.

+

 

+

CAADate::SetInGregorianCalendar

+

void SetInGregorianCalendar(bool bGregorianCalendar)

+

Parameters

+

bGregorianCalendar true to imply a date in the Gregorian Calendar, false +means use the Julian Calendar.

+

Remarks

+

Allows the date's calendar type to be changed after construction.

+

 

+

CAADate::InGregorianCalendar

+

bool InGregorianCalendar() const

+

Return Value

+

Returns true if this date is in the Gregorian calendar, false means the Julian +Calendar.

+

 

+

CAADate::Get

+

void Get(long& Year, long& Month, long& +Day, long& Hour, long& Minute, +double& Second)

+

Parameters

+

Year Upon return will contain the year. (Years are counted astronomically +i.e. 1 BC = Year 0)

+

Month Upon return will contain the month of the year (1 for January to +12 for December).

+

Day Upon return will contain the day of the month.

+

Hour Upon return will contain the hour.

+

Minute Upon return will contain the minute.

+

Second Upon return will contain the seconds (Can include decimals).

+

Remarks

+

Allows the date parts to be retrieved.

+

 

+

CAADate::DayOfWeek

+

DAY_OF_WEEK DayofWeek() const

+

Return Value

+

Returns an enum which identifies which day of the week this date represents.

+

 

+

CAADate::DayOfYear

+

double DayofYear() const

+

Return Value

+

Returns the day of year (including decimals) this date represents.

+

 

+

CAADate::DaysInMonth

+

long DaysInMonth() const

+

static DaysInMonth(long Month, bool bLeap)

+

Return Value

+

Returns the total number of days in the month (28 - 31) which this date represents. +The static version of the function can be used if you do not want to construct a +CAADate instance to do this test.

+

 

+

CAADate::DaysInYear

+

long DaysInYear() const

+

Return Value

+

Returns the total number of days in the year (365 or 366) which this date represents.

+

 

+

CAADate::DayOfYearToDayAndMonth

+

static DayOfYearToDayAndMonth(long DayOfYear, bool +bLeap, long& DayOfMonth, long& Month)

+

Parameters

+

DayOfYear The day of the year where 1st of January is 1 going up to 365 +or 366 for 31st of December

+

bLeap true if the year being considered is a leap year, otherwise false.

+

DayOfMonth Upon return will contain the day of the month.

+

Month Upon return will contain the month.

+

 

+

CAADate::JulianToGregorian

+

static CAACalendarDate JulianToGregorian(long Year, long +Month, long Day)

+

Return Value

+

A class containing

+

Year The year in the Gregorian Calendar. (Years are counted astronomically +i.e. 1 BC = Year 0)

+

Month The month of the year in the Gregorian Calendar (1 for January to +12 for December).

+

Day The day of the month in the Gregorian Calendar.

+

Parameters

+

Year The year in the Julian Calendar to convert. (Years are counted astronomically +i.e. 1 BC = Year 0)

+

Month The month of the year in the Julian Calendar (1 for January to 12 +for December).

+

Day The day of the month in the Julian Calendar.

+

Remarks

+

Converts a calendrical date expressed in the Julian Calendar to the equivalent +date in the Gregorian Calendar. It is assumed that the adoption of the Gregorian +Calendar occurred in 1582.

+

 

+

CAADate::GregorianToJulian

+

static CAACalendarDate GregorianToJulian(long Year, long +Month, long Day)

+

Return Value

+

A class containing

+

Year The year in the Julian Calendar. (Years are counted astronomically +i.e. 1 BC = Year 0)

+

Month The month of the year in the Julian Calendar (1 for January to 12 +for December).

+

Day The day of the month in the Julian Calendar.

+

Parameters

+

Year The year in the Gregorian Calendar to convert. (Years are counted +astronomically i.e. 1 BC = Year 0)

+

Month The month of the year in the Gregorian Calendar (1 for January to +12 for December).

+

Day The day of the month in the Gregorian Calendar.

+

Remarks

+

Converts a calendrical date expressed in the Gregorian Calendar to the equivalent +date in the Julian Calendar.

+

 

+

CAADate::Leap

+

bool Leap() const

+

Return Value

+

true if the year which this date represents is leap otherwise false.

+

 

+

CAADate::FractionalYear

+

double FractionalYear() const

+

Return Value

+

Returns the years with decimals this date represents e.g. the middle of the year +2000 would be returned as 2000.5.

+

 

+

CAADate::AfterPapalReform

+

bool AfterPapalReform(long Year, long Month, +double Day)
bool AfterPapalReform(double JD)

+

Parameters

+

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

+

Month The month of the year (1 for January to 12 for December).

+

Day The day of the month (Can include decimals).

+

JD The Julian day including decimals

+

Remarks

+

Returns true if the date occurs on or after the Gregorian calendar reform which +occurred on 15th October 1582 (which corresponds to Julian Day 2299160.5), +otherwise false. Please note that the CAADate class assumes the calendar change +occured on this date. Historically of course different countries adopted the +reform at different times.

+

 

+

 

+

CAADiameters

+

This class provides the algorithms for the semi diameters of the Sun, Moon, Planets +and Asteroids. This refers to Chapter 55 in the book.

+

 

+

Functions this class provides include:

+

SunSemidiameterA

+

MercurySemidiameterA

+

VenusSemidiameterA

+

MarsSemidiameterA

+

JupiterEquatorialSemidiameterA

+

JupiterPolarSemidiameterA

+

SaturnEquatorialSemidiameterA

+

SaturnPolarSemidiameterA

+

ApparentSaturnPolarSemidiameterA

+

UranusSemidiameterA

+

NeptuneSemidiameterA

+

MercurySemidiameterB

+

VenusSemidiameterB

+

MarsSemidiameterB

+

JupiterEquatorialSemidiameterB

+

JupiterPolarSemidiameterB

+

SaturnEquatorialSemidiameterB

+

SaturnPolarSemidiameterB

+

ApparentSaturnPolarSemidiameterB

+

UranusSemidiameterB

+

NeptuneSemidiameterB

+

PlutoSemidiameterB

+

GeocentricMoonSemidiameter

+

TopocentricMoonSemidiameter

+

AsteroidDiameter

+

ApparentAsteroidDiameter

+

 

+

CAADiameters::SunSemidiameterA

+

static double SunSemidiameterA(double Delta)

+

Return Value

+

The suns semi diameter in arc seconds.

+

Parameters

+

Delta The distance to the Sun in astronomical units.

+

 

+

CAADiameters::MercurySemidiameterA

+

static double MercurySemidiameterA(double Delta)

+

Return Value

+

Mercury's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Mercury in astronomical units.

+

 

+

CAADiameters::VenusSemidiameterA

+

static double VenusSemidiameterA(double Delta)

+

Return Value

+

Venus's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Venus in astronomical units.

+

 

+

CAADiameters::MarsSemidiameterA

+

static double MarsSemidiameterA(double Delta)

+

Return Value

+

Mars's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Mars in astronomical units.

+

 

+

CAADiameters::JupiterEquatorialSemidiameterA

+

static double JupiterEquatorialSemidiameterA(double Delta)

+

Return Value

+

Jupiter's equatorial semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Jupiter in astronomical units.

+

 

+

CAADiameters::JupiterPolarSemidiameterA

+

static double JupiterPolarSemidiameterA(double Delta)

+

Return Value

+

Jupiter's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Jupiter in astronomical units.

+

 

+

CAADiameters::SaturnEquatorialSemidiameterA

+

static double SaturnEquatorialSemidiameterA(double Delta)

+

Return Value

+

Saturn's equatorial semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

 

+

CAADiameters::SaturnPolarSemidiameterA

+

static double SaturnPolarSemidiameterA(double Delta)

+

Return Value

+

Saturn's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

 

+

CAADiameters::ApparentSaturnPolarSemidiameterA

+

static double ApparentSaturnPolarSemidiameterA(double Delta, +double B)

+

Return Value

+

Saturn's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

B The Saturnicentric latitude of the Earth in degrees.

+

Remarks

+

Due to the large inclinations of Saturn, the apparent polar semi diameter can +be different to the true polar semi diameter.

+

 

+

CAADiameters::UranusSemidiameterA

+

static double UranusSemidiameterA(double Delta)

+

Return Value

+

Uranus's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Uranus in astronomical units.

+

 

+

CAADiameters::NeptuneSemidiameterA

+

static double NeptuneSemidiameterA(double Delta)

+

Return Value

+

Neptune's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Neptune in astronomical units.

+

 

+

CAADiameters::MercurySemidiameterB

+

static double MercurySemidiameterB(double Delta)

+

Return Value

+

Mercury's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Mercury in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::VenusSemidiameterB

+

static double VenusSemidiameterB(double Delta)

+

Return Value

+

Venus's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Venus in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::MarsSemidiameterB

+

static double MarsSemidiameterB(double Delta)

+

Return Value

+

Mars's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Mars in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::JupiterEquatorialSemidiameterB

+

static double JupiterEquatorialSemidiameterB(double Delta)

+

Return Value

+

Jupiter's equatorial semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Jupiter in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::JupiterPolarSemidiameterB

+

static double JupiterPolarSemidiameterB(double Delta)

+

Return Value

+

Jupiter's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Jupiter in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::SaturnEquatorialSemidiameterB

+

static double SaturnEquatorialSemidiameterB(double Delta)

+

Return Value

+

Saturn's equatorial semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::SaturnPolarSemidiameterB

+

static double SaturnPolarSemidiameterB(double Delta)

+

Return Value

+

Saturn's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::ApparentSaturnPolarSemidiameterB

+

static double ApparentSaturnPolarSemidiameterB(double Delta, +double B)

+

Return Value

+

Saturn's polar semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Saturn in astronomical units.

+

B The Saturnicentric latitude of the Earth in degrees.

+

Remarks

+

Due to the large inclinations of Saturn, the apparent polar semi diameter can +be different to the true polar semi diameter. Uses the updated Astronomical Almanac +for 1984 size.

+

 

+

CAADiameters::UranusSemidiameterB

+

static double UranusSemidiameterB(double Delta)

+

Return Value

+

Uranus's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Uranus in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::NeptuneSemidiameterB

+

static double NeptuneSemidiameterB(double Delta)

+

Return Value

+

Neptune's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Neptune in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::PlutoSemidiameterB

+

static double PlutoSemidiameterB(double Delta)

+

Return Value

+

Pluto's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to Pluto in astronomical units.

+

Remarks

+

Uses the updated Astronomical Almanac for 1984 size.

+

 

+

CAADiameters::GeocentricMoonSemidiameter

+

static double GeocentricMoonSemidiameter(double Delta)

+

Return Value

+

The Moon's semi diameter in arc seconds.

+

Parameters

+

Delta The distance to the Moon in kilometres.

+

 

+

CAADiameters::TopocentricMoonSemidiameter

+

static double TopocentricMoonSemidiameter(double DistanceDelta, +double Delta, double H, double Latitude, +double Height)

+

Return Value

+

The Moon's semi diameter in arc seconds.

+

Parameters

+

DistanceDelta The distance to the Moon in kilometres.

+

Delta The geocentric declination of the Moon in degrees.

+

H The geocentric hour angle of the Moon.

+

Latitude  The latitude of the position in degrees.

+

Height The observer's height above sea level in meters

+

 

+

CAADiameters::AsteroidDiameter

+

static double AsteroidDiameter(double H, double A)

+

Return Value

+

The asteroid's diameter in kilometres.

+

Parameters

+

H The absolute magnitude of the asteroid.

+

A The albedo of the asteroid.

+

 

+

CAADiameters::ApparentAsteroidDiameter

+

static double ApparentAsteroidDiameter(double Delta, double +d)

+

Return Value

+

The asteroid's apparent diameter in arc seconds.

+

Parameters

+

Delta The distance to the asteroid in astronomical units.

+

d The diameter of the asteroid in kilometres.

+

 

+

 

+

CAADynamicalTime

+

This class provides for conversion between Universal Time (both UT1 and UTC) +and Terrestrial Time (TT) aka Terrestrial Dynamical Time (TDT) aka Ephemeris Time +(ET). This refers to Chapter 10 in the book.

+

 

+

Functions this class provides include:

+

DeltaT

+

CumulativeLeapSeconds

+

SetUserDefinedDeltaT

+

TT2UTC

+

UTC2TT

+

TT2TAI

+

TAI2TT

+

TT2UT1

+

UT12TT

+

UT1MinusUTC

+

 

+

CAADynamicalTime::DeltaT

+

static double DeltaT(double JD)

+

Return Value

+

The difference DeltaT which is equal to TT - UT1 in seconds of time.

+

Parameters

+

date The Julian day to calculate DeltaT for. Because DeltaT changes +so slowly, the time used can be in the TT, the UTC or UT1 timeframes.

+

 

+

CAADynamicalTime::CumulativeLeapSeconds

+

static double CumulativeLeapSeconds(double JD)

+

Return Value

+

The cumulative total of Leap seconds which have been applied to this point in +seconds of time.

+

Parameters

+

date The Julian day to calculate Cumulative leap seconds for. Because +Leap seconds change so slowly, the time used can be in the TT, the UTC or UT1 timeframes +although technically leap seconds are only relevant to the UTC timescale.

+

 

+

CAADynamicalTime::SetUserDefinedDeltaT

+

static CAADynamicalTime::DELTAT_PROC SetUserDefinedDeltaT (DELTAT_PROC +pProc)

+

Return Value

+

The previous DeltaT function in use. If the CAADynamicalTime::DeltaT method +was using its own lookup tables and polynomials prior to calling this method, +then the return value from this method will be "nullptr".

+

Parameters

+

pProc The new function to use for calculating DeltaT through calls to +the method CAADynamicalTime::DeltaT. The +function signature of this parameter is "double (*) (double JD)" which is the +same as the CAADynamicalTime::DeltaT function signature.

+

Remarks

+

This method allows the logic used by the +CAADynamicalTime::DeltaT method to determine the DeltaT value to be changed +by a user defined function. This advanced routine could prove useful where you +have knowledge of the value for DeltaT for times far in the past or the future +which is not included in the built-in tables provided by CAADynamicalTime class. +Please note that changing the underlying function pointer by this method is not +thread protected. This means that application code should provide appropriate +thread protection if you are potentially calling this method from multiple +threads at the same time.

+

 

+

CAADynamicalTime::TT2UTC

+

static double TT2UTC(double JD)

+

Return Value

+

The Julian day in the UTC timeframe.

+

Parameters

+

JD The Julian day in the TT timeframe to convert.

+

 

+

CAADynamicalTime::UTC2TT

+

static double TT2UTC(double JD)

+

Return Value

+

The Julian day in the TT timeframe.

+

Parameters

+

JDThe Julian day in the UTC timeframe to convert.

+

 

+

CAADynamicalTime::TT2TAI

+

static double TT2TAI(double JD)

+

Return Value

+

The Julian day in the TAI timeframe.

+

Parameters

+

JD The Julian day in the TT timeframe to convert.

+

 

+

CAADynamicalTime::TAI2TT

+

static double TAI2TT(double JD)

+

Return Value

+

The Julian day in the TT timeframe.

+

Parameters

+

JD The Julian day in the TAI timeframe to convert.

+

 

+

CAADynamicalTime::TT2UT1

+

static double TT2UT1(double JD)

+

Return Value

+

The Julian day in the UT1 timeframe.

+

Parameters

+

JD The Julian day in the TT timeframe to convert.

+

 

+

CAADynamicalTime::UT12TT

+

static double UT12TT(double JD)

+

Return Value

+

The Julian day in the TT timeframe.

+

Parameters

+

JD The Julian day in the UT1 timeframe to convert.

+

 

+

CAADynamicalTime::UT1MinusUTC

+

static double UT12TT(double JD)

+

Return Value

+

The difference between UT1 and UTC in seconds of time.

+

Parameters

+

JD The Julian day in the UT1 timeframe.

+

 

+

 

+

 

+

CAAEarth

+

This class provides for calculation of the heliocentric position of the Earth. +This refers to Chapter 32 and parts of Chapter 26 and 47 in the book

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

EclipticLongitudeJ2000

+

EclipticLatitudeJ2000

+

Eccentricity

+

SunMeanAnnomaly

+

 

+

CAAEarth::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEarth::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEarth::RadiusVector

+

static double RadiusVector(double JD, bool +bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEarth::EclipticLongitudeJ2000

+

static double EclipticLongitudeJ2000(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of J2000 in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEarth::EclipticLatitudeJ2000

+

static double EclipticLatitudeJ2000(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of J2000 defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEarth::Eccentricity

+

static double Eccentricity(double JD)

+

Return Value

+

the eccentricity of Earth's orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAEarth::SunMeanAnomaly

+

static double SunMeanAnomaly(double JD)

+

Return Value

+

the mean anomaly of the Sun in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAEaster

+

This class provides for calculation of the date of Easter in both the Julian +and Gregorian calendars. This refers to Chapter 8 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAEaster::Calculate

+

static CAAEasterDetails Calculate(int nYear, bool bGregorianCalendar)

+

Return Value

+

A class containing

+

Month The month on which Easter Sunday occurs.

+

Day The day of the month on which Easter Sunday occurs.

+

Parameters

+

nYear The year to perform the calculation for.

+

bGregorianCalendar true if the calculation is to be performed for the +Gregorian calendar, false implies the Julian Calendar

+

 

+

 

+

CAAEclipses

+

This class provides for calculation of Solar and Lunar Eclipses. This refers +to Chapter 54 in the book.

+

 

+

Functions this class provides include:

+

CalculateSolar

+

CalculateLunar

+

 

+

CAAEclipses::CalculateSolar

+

static CAASolarEclipseDetails CalculateSolar(double k)

+

Return Value

+

A struct containing the following values:

+

Flags A bitmask which indicates the type of solar eclipse which has +occurred. See the constant values defined in CAASolarEclopseDetails for more +information.

+

TimeOfMaximumEclipse The date in Dynamical time of maximum eclipse.

+

F The moons argument of Latitude in degrees at the time of the eclipse.

+

u The U term for the eclipse.

+

gamma The gamma term for the eclipse.

+

GreatestMagnitude The greatest magnitude of the eclipse if the eclipse +is partial.

+

Parameters

+

k The same K term as returned from CAAMoonPhases::K. +For a solar eclipse, this value should be a value without any decimals as a solar +eclipse refers to a New Moon.

+

 

+

CAAEclipses::CalculateLunar

+

static CAALunarEclipseDetails CalculateLunar(double k)

+

Return Value

+

A struct containing the following values:

+

bEclipse true if a lunar eclipse occurs at this Full Moon.

+

TimeOfMaximumEclipse The date in Dynamical time of maximum eclipse.

+

F The moons argument of Latitude in degrees at the time of the eclipse.

+

u The U term for the eclipse.

+

gamma The gamma term for the eclipse.

+

PenumbralRadii The radii of the eclipse for the penumbra in equatorial +earth radii.

+

UmbralRadii The radii of the eclipse for the umbra in equatorial earth +radii.

+

PenumbralMagnitude The magnitude of the eclipse if the eclipse is penumbral.

+

UmbralMagnitude The magnitude of the eclipse if the eclipse is umbral.

+

PartialPhaseSemiDuration The semi-duration of the eclipse during the partial +phase.

+

TotalPhaseSemiDuration The semi-duration of the eclipse during the total +phase.

+

PartialPhasePenumbralSemiDuration The semi-duration of the partial phase +in the penumbra.

+

Parameters

+

k The same K term as returned from CAAMoonPhases::K. +For a lunar eclipse, this value should be decimal value incremented by 0.5 as a +lunar eclipse refers to a Full Moon.

+

 

+

 

+

CAAEclipticalElements

+

This class provides the algorithms which map ecliptical elements from one equinox +to another. This refers to Chapter 24 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

FK4B1950ToFK5J200

+

 

+

CAAEclipticalElements::Calculate

+

static CAAEclipticalElementDetails Calculate(double i0, +double w0, double omega0, +double JD0, double JD)

+

Return Value

+

A struct containing the following values:

+

i The reduced inclination in degrees.

+

w The reduced argument of perihelion in degrees.

+

omega The reduced longitude of the ascending node in degrees

+

Parameters

+

i0 The inclination in degrees to reduce.

+

w0 The argument of perihelion in degrees +to reduce.

+

omega0 The longitude of the ascending +node in degrees to reduce.

+

JD0 The initial epoch in Dynamical time to calculate for.

+

JD The epoch in Dynamical time to reduce the elements to.

+

 

+

CAAEclipticalElements::FK4B1950ToFK5J2000

+

static CAAEclipticalElementDetails KF4B1950ToFK5J2000(double +i0, double w0, double omega0)

+

Return Value

+

A struct containing the following values:

+

i The reduced inclination in degrees.

+

w The reduced argument of perihelion in degrees.

+

omega The reduced longitude of the ascending node in degrees

+

Parameters

+

i0 The inclination in degrees to reduce.

+

w0 The argument of perihelion in degrees +to reduce.

+

omega0 The longitude of the ascending +node in degrees to reduce.

+

 

+

 

+

CAAElementsPlanetaryOrbit

+

This class provides the algorithms to calculate the elements of the planetary +orbits. This refers to Chapter 31 in the book.

+

 

+

Functions this class provides include:

+

MercuryMeanLongitude

+

MercurySemimajorAxis

+

MercuryEccentricity

+

MercuryInclination

+

MercuryLongitudeAscendingNode

+

MercuryLongitudePerihelion

+

VenusMeanLongitude

+

VenusSemimajorAxis

+

VenusEccentricity

+

VenusInclination

+

VenusLongitudeAscendingNode

+

VenusLongitudePerihelion

+

EarthMeanLongitude

+

EarthSemimajorAxis

+

EarthEccentricity

+

EarthInclination

+

EarthLongitudePerihelion

+

MarsMeanLongitude

+

MarsSemimajorAxis

+

MarsEccentricity

+

MarsInclination

+

MarsLongitudeAscendingNode

+

MarsLongitudePerihelion

+

JupiterMeanLongitude

+

JupiterSemimajorAxis

+

JupiterEccentricity

+

JupiterInclination

+

JupiterLongitudeAscendingNode

+

JupiterLongitudePerihelion

+

SaturnMeanLongitude

+

SaturnSemimajorAxis

+

SaturnEccentricity

+

SaturnInclination

+

SaturnLongitudeAscendingNode

+

SaturnLongitudePerihelion

+

UranusMeanLongitude

+

UranusSemimajorAxis

+

UranusEccentricity

+

UranusInclination

+

UranusLongitudeAscendingNode

+

UranusLongitudePerihelion

+

NeptuneMeanLongitude

+

NeptuneSemimajorAxis

+

NeptuneEccentricity

+

NeptuneInclination

+

NeptuneLongitudeAscendingNode

+

NeptuneLongitudePerihelion

+

MercuryMeanLongitudeJ2000

+

MercuryInclinationJ2000

+

MercuryLongitudeAscendingNodeJ2000

+

MercuryLongitudePerihelionJ2000

+

VenusMeanLongitudeJ2000

+

VenusInclinationJ2000

+

VenusLongitudeAscendingNodeJ2000

+

VenusLongitudePerihelionJ2000

+

EarthMeanLongitudeJ2000

+

EarthInclinationJ2000

+

EarthLongitudeAscendingNodeJ2000

+

EarthLongitudePerihelionJ2000

+

MarsMeanLongitudeJ2000

+

MarsInclinationJ2000

+

MarsLongitudeAscendingNodeJ2000

+

MarsLongitudePerihelionJ2000

+

JupiterMeanLongitudeJ2000

+

JupiterInclinationJ2000

+

JupiterLongitudeAscendingNodeJ2000

+

JupiterLongitudePerihelionJ2000

+

SaturnMeanLongitudeJ2000

+

SaturnInclinationJ2000

+

SaturnLongitudeAscendingNodeJ2000

+

SaturnLongitudePerihelionJ2000

+

UranusMeanLongitudeJ2000

+

UranusInclinationJ2000

+

UranusLongitudeAscendingNodeJ2000

+

UranusLongitudePerihelionJ2000

+

NeptuneMeanLongitudeJ2000

+

NeptuneInclinationJ2000

+

NeptuneLongitudeAscendingNodeJ2000

+

NeptuneLongitudePerihelionJ2000

+

 

+

CAAElementsPlanetaryOrbit::MercuryMeanLongitude

+

static double MercuryMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::MercurySemimajorAxis

+

static double MercurySemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::MercuryEccentricity

+

static double MercuryEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MercuryInclination

+

static double MercuryInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNode

+

static double MercuryLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MercuryLongitudePerihelion

+

static double MercuryLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusMeanLongitude

+

static double VenusMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::VenusSemimajorAxis

+

static double VenusSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::VenusEccentricity

+

static double VenusEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusInclination

+

static double VenusInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNode

+

static double VenusLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusLongitudePerihelion

+

static double VenusLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::EarthMeanLongitude

+

static double EarthMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::EarthSemimajorAxis

+

static double EarthSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::EarthEccentricity

+

static double EarthEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::EarthInclination

+

static double EarthInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::EarthLongitudePerihelion

+

static double EarthLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsMeanLongitude

+

static double MarsMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::MarsSemimajorAxis

+

static double MarsSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::MarsEccentricity

+

static double MarsEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsInclination

+

static double MarsInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNode

+

static double MarsLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsLongitudePerihelion

+

static double MarsLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::JupiterMeanLongitude

+

static double JupiterMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::JupiterSemimajorAxis

+

static double JupiterSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::JupiterEccentricity

+

static double JupiterEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::JupiterInclination

+

static double JupiterInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode

+

static double JupiterLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::JupiterLongitudePerihelion

+

static double JupiterLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::SaturnMeanLongitude

+

static double SaturnMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::SaturnSemimajorAxis

+

static double SaturnSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::SaturnEccentricity

+

static double SaturnEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::SaturnInclination

+

static double SaturnInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNode

+

static double SaturnLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion

+

static double SaturnLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::UranusMeanLongitude

+

static double UranusMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::UranusSemimajorAxis

+

static double UranusSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::UranusEccentricity

+

static double UranusEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::UranusInclination

+

static double UranusInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNode

+

static double UranusLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::UranusLongitudePerihelion

+

static double UranusLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::NeptuneMeanLongitude

+

static double NeptuneMeanLongitude(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::NeptuneSemimajorAxis

+

static double NeptuneSemimajorAxis(double JD)

+

Return Value

+

the semi major axis of the planet in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOribit::NeptuneEccentricity

+

static double NeptuneEccentricity(double JD)

+

Return Value

+

the eccentricity of the orbit.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::NeptuneInclination

+

static double NeptuneInclination(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic +and mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNode

+

static double NeptuneLongitudeAscendingNode(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the ecliptic and +mean equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelion

+

static double NeptuneLongitudePerihelion(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the ecliptic and mean +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000

+

static double MercuryMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MercuryInclinationJ2000

+

static double MercuryInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000

+

static double MercuryLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000

+

static double MercuryLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000

+

static double VenusMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::VenusInclinationJ2000

+

static double VenusInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000

+

static double VenusLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000

+

static double VenusLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000

+

static double EarthMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::EarthInclinationJ2000

+

static double EarthInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000

+

static doubleEarthLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000

+

static double EarthLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000

+

static double MarsMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::MarsInclinationJ2000

+

static double MarsInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000

+

static double MarsLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000

+

static double MarsLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000

+

static double JupiterMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::JupiterInclinationJ2000

+

static double JupiterInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000

+

static double JupiterLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000

+

static double JupiterLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000

+

static double SaturnMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::SaturnInclinationJ2000

+

static double SaturnInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000

+

static double SaturnLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000

+

static double SaturnLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000

+

static double UranusMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::UranusInclinationJ2000

+

static double UranusInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000

+

static double UranusLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000

+

static double UranusLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000

+

static double NeptuneMeanLongitudeJ2000(double JD)

+

Return Value

+

the mean longitude of the planet in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAElementsPlanetaryOrbit::NeptuneInclinationJ2000

+

static double NeptuneInclinationJ2000(double JD)

+

Return Value

+

the inclination on the plane of the ecliptic in degrees with respect to the fixed +ecliptic of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000

+

static double NeptuneLongitudeAscendingNodeJ2000(double JD)

+

Return Value

+

the longitude of the ascending node in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

+CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000

+

static double NeptuneLongitudePerihelionJ2000(double JD)

+

Return Value

+

the longitude of the perihelion in degrees with respect to the fixed ecliptic +of J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAElliptical

+

This class provides for calculation of the position of an object in an elliptical +orbit. This refers to Chapter 33 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

DistanceToLightTime

+

SemiMajorAxisFromPerihelionDistance

+

MeanMotionFromSemiMajorAxis

+

InstantaneousVelocity

+

VelocityAtPerihelion

+

VelocityAtAphelion

+

LengthOfEllipse

+

CometMagnitude

+

MinorPlanetMagnitude

+

 

+

CAAElliptical::Calculate

+

static CAAEllipticalPlanetaryDetails Calculate(double JD, EllipticalObject +object, bool bHighPrecision)

+

Return Value

+

A class containing

+

ApparentGeocentricLongitude The apparent geocentric ecliptical longitude +in degrees of the object.

+

ApparentGeocentricLatitude The apparent geocentric ecliptical latitude +in degrees of the object.

+

ApparentGeocentricDistance The apparent distance in astronomical units +between the object and the Earth.

+

ApparentLightTime The apparent light travel time in days.

+

ApparentGeocentricRA The apparent right ascension of the planet as an +hour angle.

+

ApparentGeocentricDeclination The apparent declination of the planet in +degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

object An enum specifying which object (Planet except Earth or the Sun) the calculation +is to be carried out for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

static CAAEllipticalObjectDetails Calculate(double JD, const +CAAEllipticalObjectElements& elements, bool +bHighPrecision)

+

Return Value

+

A class containing

+

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial +coordinates of the object.

+

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical +coordinates of the object.

+

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in +degrees of the object.

+

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees +of the object.

+

TrueGeocentricRA The geocentric right ascension of the object as an hour +angle (i.e. without light time correction applied).

+

TrueGeocentricDeclination The geocentric declination of the object in +degrees (i.e. without light time correction applied).

+

TrueGeocentricDistance The true distance in astronomical units between +the Earth and the object.

+

TrueGeocentricLightTime The light travel time in days from the Earth to +the object.

+

AstrometricGeocentricRA The geocentric right ascension of the object as +an hour angle (i.e. with light time correction applied)

+

AstrometricGeocentricDeclination The geocentric declination of the object +in degrees (i.e. with light time correction applied)

+

AstrometricGeocentricDistance The observed distance of the object in astronomical +units.

+

AstrometricGeocentricLightTime The observed light travel time of the object +in days.

+

Elongation The elongation of the object to the Sun in degrees.

+

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

elements A class containing the following orbital elements

+

a The semi major axis in astronomical units.

+

e The eccentricity of the orbit.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox The Julian day for which equatorial coordinates should be calculated +for.

+

T The Julian date of the time of passage in perihelion.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAElliptical::DistanceToLightTime

+

static double DistanceToLightTime(double Distance)

+

Return Value

+

The light travel time in days corresponding to the distance.

+

Parameters

+

Distance The distance in astronomical units to convert.

+

 

+

+CAAElliptical::SemiMajorAxisFromPerihelionDistance

+

static double SemiMajorAxisFromPerihelionDistance(double q, +double e)

+

Return Value

+

The semi major axis of the orbit in astronomical units.

+

Parameters

+

q The perihelion distance in astronomical units.

+

e The eccentricity of the orbit.

+

 

+

CAAElliptical::MeanMotionFromSemiMajorAxis

+

static double MeanMotionFromSemiMajorAxis(double a)

+

Return Value

+

The mean motion in degrees / day.

+

Parameters

+

a The semi major axis of the orbit in astronomical units.

+

 

+

CAAElliptical::InstantaneousVelocity

+

static double InstantaneousVelocity(double r, double +a)

+

Return Value

+

The instantaneous velocity of the object in kilometres per second.

+

Parameters

+

r The distance of the object from the Sun in astronomical units.

+

a The semi major axis of the orbit in astronomical units.

+

 

+

CAAElliptical::VelocityAtPerihelion

+

static double VelocityAtPerihelion(double e, double a)

+

Return Value

+

The velocity of the object in kilometres per second at perihelion.

+

Parameters

+

e The eccentricity of the orbit.

+

a The semi major axis of the orbit in astronomical units.

+

 

+

CAAElliptical::VelocityAtAphelion

+

static double VelocityAtAphelion(double e, double a)

+

Return Value

+

The velocity of the object in kilometres per second at aphelion.

+

Parameters

+

e The eccentricity of the orbit.

+

a The semi major axis of the orbit in astronomical units.

+

 

+

CAAElliptical::LengthOfEllipse

+

static double LengthOfEllipse(double e, double a)

+

Return Value

+

The length of the eclipse in astronomical units.

+

Parameters

+

e The eccentricity of the orbit.

+

a The semi major axis of the orbit in astronomical units.

+

 

+

CAAElliptical::CometMagnitude

+

static double CometMagnitude(double g, double delta, +double k, double r)

+

Return Value

+

The magnitude of the comet.

+

Parameters

+

g The absolute magnitude of the comet.

+

delta Distance of the comet to the Earth in astronomical units.

+

k A constant which differs from one comet to another.

+

r Distance of the comet from the Sun in astronomical units

+

Remarks

+

This refers to algorithm 33.13 on page 231

+

 

+

CAAElliptical::MinorPlanetMagnitude

+

static double MinorPlanetMagnitude(double H, double delta, +double G, double r, double PhaseAngle)

+

Return Value

+

The magnitude of the minor planet.

+

Parameters

+

H The mean absolute visual magnitude of the minor planet.

+

delta Distance of the minor planet to the Earth in astronomical units.

+

G The so called "slope parameter" which differs from one minor +planet to another.

+

r Distance of the minor planet from the Sun in astronomical units

+

PhaseAngle the Sun - body - Earth angle in degrees

+

Remarks

+

This refers to algorithm 33.14 on page 231

+

 

+

 

+

CAAELP2000

+

This class provides for calculation of the position of the Moon using the +full ELP2000-82b theory. Please refer to +http://cdsweb.u-strasbg.fr/cgi-bin/qcat?VI/79/for further details.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

+EclipticRectangularCoordinates

+

+EclipticRectangularCoordinatesJ2000

+

+EquatorialRectangularCoordinatesFK5

+

 

+

CAAELP2000::EclipticLongitude

+

static double EclipticLongitude(double JD)

+

Return Value

+

the ecliptic longitude in degrees referred to the ecliptic and +equinox of the ELP2000-82b theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAELP2000::EclipticLatitude

+

static double EclipticLatitude(double JD)

+

Return Value

+

the ecliptic latitude in degrees referred to the ecliptic and +equinox of the ELP2000-82b theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAELP2000::RadiusVector

+

static double RadiusVector(double JD)

+

Return Value

+

the radius vector in kilometers.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAELP2000::EclipticRectangularCoordinates

+

static CAA3DCoordinate EclipticRectangularCoordinates(double +JD)

+

Return Value

+

A class containing the ecliptic 3D rectangular coordinates in kilometers referred to the ecliptic and equinox of the +ELP2000-82b theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAELP2000::EclipticRectangularCoordinatesJ2000

+

static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double +JD)

+

Return Value

+

A class containing the ecliptic 3D rectangular coordinates in kilometers referred to the +J2000 ecliptic and equinox.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAELP2000::EquatorialRectangularCoordinatesFK5

+

static CAA3DCoordinate EquatorialRectangularCoordinatesFK5(double +JD)

+

Return Value

+

A class containing the equatorial 3D rectangular coordinates in kilometers referred to the +FK5 J2000 FK5 reference frame.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAELPMPP02

+

This class provides for calculation of the position of the Moon using the +full ELP\MPP02 theory. Please refer to + +ftp://cyrano-se.obspm.fr/pub/2_lunar_solutions/2_elpmpp02/ for further details.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

EclipticRectangularCoordinates

+

EclipticRectangularCoordinatesJ2000

+

 

+

CAAELPMPP02::EclipticLongitude

+

static double EclipticLongitude(double JD, +Correction correction = LLR, double* +pDerivative = nullptr)

+

Return Value

+

the ecliptic longitude in degrees referred to the ecliptic and +equinox of the ELP/MPP02 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

correction enum value which specifies what fit of the theory to use. This can +be Nominal, LLR, DE405 or DE406.

+

pDerivative An optional output parameter which if provided will return the +derivative of the ecliptic longitude in degrees per day.

+

 

+

CAAELPMPP02::EclipticLatitude

+

static double EclipticLatitude(double JD, +Correction correction = LLR, +double* pDerivative = nullptr)

+

Return Value

+

the ecliptic latitude in degrees referred to the ecliptic and +equinox of the ELP/MPP02 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

correction enum value which specifies what fit of the theory to use. This can +be Nominal, LLR, DE405 or DE406.

+

pDerivative An optional output parameter which if provided will return the +derivative of the ecliptic latitude in degrees per day.

+

 

+

CAAELPMPP02::RadiusVector

+

static double RadiusVector(double JD, +Correction correction = LLR, +double* pDerivative = nullptr)

+

Return Value

+

the radius vector in kilometers.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

correction enum value which specifies what fit of the theory to use. This can +be Nominal, LLR, DE405 or DE406.

+

pDerivative An optional output parameter which if provided will return the +derivative of the radius vector in kilometers per day.

+

 

+

CAAELPMPP02::EclipticRectangularCoordinates

+

static CAA3DCoordinate EclipticRectangularCoordinates(double +JD, Correction correction = LLR, +CAA3DCoordinate* pDerivative = nullptr)

+

Return Value

+

A class containing the ecliptic 3D rectangular coordinates in kilometers referred to the ecliptic and equinox of the +ELP/MPP02 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

correction enum value which specifies what fit of the theory to use. This can +be Nominal, LLR, DE405 or DE406.

+

pDerivative An optional output parameter which if provided will return the +derivative of the rectangular coordinates in Kilometers per day in the ecliptic +and equinox of the ELP/MPP02 theory.

+

 

+

CAAELPMPP02::EclipticRectangularCoordinatesJ2000

+

static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double +JD, CAA3DCoordinate* pDerivative = nullptr)

+

Return Value

+

A class containing the ecliptic 3D rectangular coordinates in kilometers referred to the +J2000 ecliptic and equinox.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

correction enum value which specifies what fit of the theory to use. This can +be Nominal, LLR, DE405 or DE406.

+

pDerivative An optional output parameter which if provided will return the +derivative of the rectangular coordinates in kilometers per day in the J2000 +ecliptic and equinox

+

 

+

 

+

CAAEquationOfTime

+

This class provides for calculation of the Equation of Time. This refers to Chapter +28 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAEquationOfTime::Calculate

+

static double Calculate(double JD, +bool +bHighPrecision)

+

Return Value

+

the equation of time in decimal minutes.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAEquinoxesAndSolstices

+

This class provides the algorithms to calculate the dates of the Equinoxes and +Solstices. This refers to Chapter 27 in the book.

+

 

+

Functions this class provides include:

+

NorthwardEquinox

+

NorthernSoltice

+

SouthwardEquinox

+

SouthernSolstice

+

LengthOfSpring

+

LengthOfSummer

+

LengthOfAutumn

+

LengthOfWinter

+

 

+

CAAEquinoxesAndSolstices::NorthwardEquinox

+

static double NorthwardEquinox(long Year, +bool bHighPrecision)

+

Return Value

+

The date in Dynamical time when the sun crosses the equator in a northerly direction.

+

Parameters

+

Year The year to calculate the occurrence for. Note that this method +refers to "Northward Equinox" instead of "Spring Equinox" to +avoid a northern hemisphere-specific bias.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::NorthernSolstice

+

static double NorthernSolstice(long Year, +bool bHighPrecision)

+

Return Value

+

The date in Dynamical time when the sun reaches its highest relative to the celestial +equator and appears directly over the Tropic of Cancer.

+

Parameters

+

Year The year to calculate the occurrence for. Note that this method +refers to "Northern Solstice" instead of "Summer Solstice" to +avoid a northern hemisphere-specific bias.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::SouthwardEquinox

+

static double SouthwardEquinox(long Year, +bool bHighPrecision)

+

Return Value

+

The date in Dynamical time when the Southward Equinox occurs.

+

Parameters

+

Year The year to calculate the occurrence for. Note that this method +refers to "Southward Equinox" instead of "Fall or Autumn equinox" +to avoid a northern hemisphere-specific bias.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::SouthernSolstice

+

static double SouthernSolstice(long Year, +bool bHighPrecision)

+

Return Value

+

The date in Dynamical time when the sun reaches its lowest relative to the celestial +equator and appears directly over the Tropic of Capricorn.

+

Parameters

+

Year The year to calculate the occurrence for. Note that this method +refers to "Southern Solstice" instead of "Winter Solstice" to +avoid a northern hemisphere-specific bias.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::LengthOfSpring

+

static double LengthOfSpring(long Year, bool +bNorthernHemisphere, bool bHighPrecision)

+

Return Value

+

The length of the astronomical Spring season in days.

+

Parameters

+

Year The year to calculate for.

+

bNorthernHemisphere true to indicate the observer is in the northern +hemisphere, while false means the southern hemisphere.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::LengthOfSummer

+

static double LengthOfSummer(long Year, bool +bNorthernHemisphere, bool bHighPrecision)

+

Return Value

+

The length of the astronomical Summer season in days.

+

Parameters

+

Year The year to calculate for.

+

bNorthernHemisphere true to indicate the observer is in the northern +hemisphere, while false means the southern hemisphere.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::LengthOfAutumn

+

static double LengthOfAutumn(long Year, bool +bNorthernHemisphere, bool bHighPrecision)

+

Return Value

+

The length of the astronomical Autumn season in days.

+

Parameters

+

Year The year to calculate for.

+

bNorthernHemisphere true to indicate the observer is in the northern +hemisphere, while false means the southern hemisphere.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAEquinoxesAndSolstices::LengthOfWinter

+

static double LengthOfWinter(long Year, bool +bNorthernHemisphere, bool bHighPrecision)

+

Return Value

+

The length of the astronomical Winter season in days.

+

Parameters

+

Year The year to calculate for.

+

bNorthernHemisphere true to indicate the observer is in the northern +hemisphere, while false means the southern hemisphere.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAEquinoxesAndSolstices2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAEquinoxesAndSolstices class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

+CAAEquinoxesAndSolstices2::Calculate

+

static std::vector<CAAEquinoxesAndSolsticestDetails2> Calculate(double +StartJD, double EndJD, double +StepInterval = 0.007, bool +bHighPrecision = false)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be NorthwardEquinox, NorthernSolstice, SouthwardEquinox or +SouthernSolstice.

+

JD The date in Dynamical time on which the event occurs.

+

Declination Valid only for NorthernSolstice or SouthernSolstice events, this will be the +apparent declination of the Sun.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAFK5

+

This class provides the algorithms to convert to the FK5 standard reference frame. +This refers to parts of Chapter 26 and 32 in the book.

+

 

+

Functions this class provides include:

+

CorrectionInLongitude

+

CorrectionInLatitude

+

ConvertVSOPToFK5J2000

+

ConvertVSOPToFK5B1950

+

ConvertVSOPToFK5AnyEquinox

+

 

+

CAAFK5::CorrectionInLongitude

+

static double CorrectionInLongitude(double longitude, double +Latitude, double JD)

+

Return Value

+

The correction in degrees to convert a VSOP heliocentric longitude to the FK5 +reference frame.

+

Parameters

+

Longitude The VSOP heliocentric longitude in degrees.

+

Latitude The VSOP heliocentric latitude in degrees.

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAFK5::CorrectionInLatitude

+

static double CorrectionInLatitude(double longitude, double +JD)

+

Return Value

+

The

+

Parameters

+

Longitude The VSOP heliocentric longitude in degrees.

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAFK5::ConvertVSOPToFK5J2000

+

static CAA3DCoordinate ConvertVSOPToFK5J2000(const CAA3DCoordinate& +value)

+

Return Value

+

A class containing the converted equatorial FK5 J2000 reference frame coordinates.

+

Parameters

+

value The geometric rectangular ecliptical coordinates of the object (e.g. +the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial +FK5 J2000 reference frame.

+

 

+

CAAFK5::ConvertVSOPToFK5B1950

+

static CAA3DCoordinate ConvertVSOPToFK5B1950(const CAA3DCoordinate& +value)

+

Return Value

+

A class containing the converted equatorial FK5 B1950 reference frame coordinates.

+

Parameters

+

value The geometric rectangular ecliptical coordinates of the object (e.g. +the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial +FK5 B1950 reference frame.

+

 

+

CAAFK5::ConvertVSOPToFK5AnyEquinox

+

static CAA3DCoordinate ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& +value, double JDEquinox)

+

Return Value

+

A class containing the converted equatorial FK5 reference frame coordinates.

+

Parameters

+

value The geometric rectangular ecliptical coordinates of the object (e.g. +the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial +FK5 reference frame of JDEquinox.

+

JDEquinox The Julian day for which equatorial coordinates should be calculated +for.

+

 

+

 

+

CAAGalileanMoons

+

This class provides for calculation of the positions of the Galilean moons of +Jupiter. This refers to Chapter 44 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAGalileanMoons::Calculate

+

static CAAGalileanMoonsDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class which itself contains a class for each moon. This contained class itself +contains

+

MeanLongitude The mean longitude of the moon in degrees.

+

TrueLongitude The true longitude of the moon in degrees.

+

TropicalLongitude The tropical longitude of the moon in degrees.

+

EquatorialLatitude The latitude in degrees of the moon with respect to +Jupiter's equatorial plane.

+

r The radius vector of the moon in equatorial radii of Jupiter.

+

TrueRectangularCoordinates The true 3D rectangular coordinates of the +moon.

+

ApparentRectangularCoordinates The apparent 3D rectangular coordinates +of the moon.

+

bInTransit A Boolean which if true means that the moon is in front of +Jupiter as viewed from the Earth otherwise false.

+

bInOccultation A Boolean which if true means that the moon is behind Jupiter +as viewed from the Earth otherwise false.

+

bInEclipse A Boolean which if true means that the moon is behind Jupiter +as viewed from the Sun otherwise false.

+

bInShadowTransit A Boolean which if true means that the moon is in front +of Jupiter as viewed from the Earth otherwise false.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAGlobe

+

This class provides some basic algorithms related to the figure of the Earth's +surface.

+

 

+

Functions this class provides include:

+

RhoSinThetaPrime

+

RhoCosThetaPrime

+

RadiusOfParallelOfLatitude

+

RadiusOfCurvature

+

DistanceBetweenPoints

+

 

+

CAAGlobe::RhoSinThetaPrime

+

static double RhoSinThetaPrime(double GeographicalLatitude, +double Height)

+

Return Value

+

A numeric value of your position relative to the centre of the earth expressed +in units of the equatorial radius. For more information refer to the diagram on +Page 81.

+

Parameters

+

GeographicalLatitude The latitude of the position in degrees.

+

Height The observer's height above sea level in meters

+

 

+

CAAGlobe::RhoCosThetaPrime

+

static double RhoCosThetaPrime(double GeographicalLatitude, +double Height)

+

Return Value

+

A numeric value of your position relative to the centre of the earth expressed +in units of the equatorial radius. For more information refer to the diagram on +Page 81.

+

Parameters

+

GeographicalLatitude The latitude of the position in degrees.

+

Height The observer's height above sea level in meters

+

 

+

CAAGlobe::RadiusOfParallelOfLatitude

+

static double RadiusOfParallelOfLatitude(double GeographicalLatitude)

+

Return Value

+

The radius of parallel of latitude expressed in kilometres.

+

Parameters

+

GeographicalLatitude The latitude of the position in degrees.

+

 

+

CAAGlobe::RadiusOfCurvature

+

static double RadiusOfCurvature(double GeographicalLatitude)

+

Return Value

+

The radius of curvature of latitude expressed in kilometres.

+

Parameters

+

GeographicalLatitude The latitude of the position in degrees.

+

 

+

CAAGlobe::DistanceBetweenPoints

+

static double DistanceBetweenPoints(double GeographicalLatitude1, +double GeographicalLongitude1, double GeographicalLatitude2, +double GeographicalLongitude2)

+

 

+

Return Value

+

The shortest distance between two known points on the surface of the Earth expressed +in kilometres.

+

Parameters

+

GeographicalLatitude1 The latitude of the first point +in degrees.

+

GeographicLongitude1 The longitude of the first point in degrees +(Positive west, negative east from Greenwich).

+

GeographicLatitude2 The latitude of the second point in degrees.

+

GeographicalLongitude2 The longitude of the second point in degrees +(Positive west, negative east from Greenwich).

+

 

+

 

+

CAAIlluminatedFraction

+

This class provides the algorithms to calculate a planet's phase angle, illuminated +fraction and magnitude. This refers to Chapter 41 in the book.

+

 

+

Functions this class provides include:

+

PhaseAngle

+

PhaseAngleRectangular

+

IlluminatedFraction

+

MercuryMagnitudeAA

+

MercuryMagnitudeMuller

+

VenusMagnitudeAA

+

VenusMagnitudeMuller

+

MarsMagnitudeAA

+

MarsMagnitudeMuller

+

JupiterMagnitudeAA

+

JupiterMagnitudeMuller

+

SaturnMagnitudeAA

+

SaturnMagnitudeMuller

+

UranusMagnitudeAA

+

UranusMagnitudeMuller

+

NeptuneMagnitudeAA

+

NeptuneMagnitudeMuller

+

PlutoMagnitudeAA

+

 

+

CAAIlluminatedFraction::PhaseAngle

+

static double PhaseAngle(double r, double R, double +Delta)

+

static double PhaseAngle(double R, double R0, +double B, double L, double L0, double +Delta)

+

Return Value

+

The phase angle in degrees.

+

Parameters (First Version)

+

r The planet's distance to the Sun in astronomical units.

+

R The distance of the Sun from the Earth in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Parameters (Second Version)

+

R The planet's distance to the Sun in astronomical units.

+

R0 The distance of the Sun from the Earth in astronomical units.

+

B The planet's heliocentric latitude in degrees.

+

L The planet's heliocentric longitude in degrees.

+

L0 The heliocentric latitude of the Earth in degrees.

+

Delta The planet's distance from the Earth in astronomical units.

+

 

+

CAAIlluminatedFraction::PhaseAngleRectangular

+

static double PhaseAngleRectangular(double x, double +y, double z, double B, double L, +double Delta)

+

Return Value

+

The phase angle in degrees.

+

Parameters

+

x The geocentric rectangular ecliptical X coordinate of the object.

+

y The geocentric rectangular ecliptical Y coordinate of the object.

+

z The geocentric rectangular ecliptical Y coordinate of the object.

+

B The planet's heliocentric latitude in degrees.

+

L The planet's heliocentric longitude in degrees.

+

Delta The planet's distance from the Earth in astronomical units.

+

 

+

CAAIlluminatedFraction::IlluminatedFraction

+

static double IlluminatedFraction(double r, double R, +double Delta)

+

static double IlluminatedFraction(double PhaseAngle)

+

Return Value

+

The phase angle in degrees.

+

r The planet's distance to the Sun in astronomical units.

+

R The distance of the Sun from the Earth in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

PhaseAngle The planet's phase angle in degrees.

+

 

+

CAAIlluminatedFraction::MercuryMagnitudeAA

+

static double MercuryMagnitudeAA(double r, double Delta, +double i)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::MercuryMagnitudeMuller

+

static double MercuryMagnitudeMuller(double r, double +Delta, double Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::VenusMagnitudeAA

+

static double VenusMagnitudeAA(double r, double Delta, +double i)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::VenusMagnitudeMuller

+

static double VenusMagnitudeMuller(double r, double Delta, +double Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::MarsMagnitudeAA

+

static double MarsMagnitudeAA(double r, double Delta, +double i)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::MarsMagnitudeMuller

+

static double MarsMagnitudeMuller(double r, double Delta, +double i)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::JupiterMagnitudeAA

+

static double JupiterMagnitudeAA(double r, double Delta, +double i)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

i The planet's phase angle in degrees.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::JupiterMagnitudeMuller

+

static double JupiterMagnitudeMuller(double r, double +Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::SaturnMagnitudeAA

+

static double SaturnMagnitudeAA(double r, double Delta, +double DeltaU, double B)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

DeltaU The difference between the Saturnicentric longitudes of the Sun +and the Earth, measured in the plane o the ring in degrees.

+

B The Saturnicentric latitude of the Earth referred to the plane of the +ring in degrees

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::SaturnMagnitudeMuller

+

static double SaturnMagnitudeMuller(double r, double +Delta, double DeltaU, double B)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

DeltaU The difference between the Saturnicentric longitudes of the Sun +and the Earth, measured in the plane o the ring in degrees.

+

B The Saturnicentric latitude of the Earth referred to the plane of the +ring in degrees

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::UranusMagnitudeAA

+

static double UranusMagnitudeAA(double r, double Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::UranusMagnitudeMuller

+

static double UranusMagnitudeMuller(double r, double +Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::NeptuneMagnitudeAA

+

static double NeptuneMagnitudeAA(double r, double Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

CAAIlluminatedFraction::NeptuneMagnitudeMuller

+

static double NeptuneMagnitudeMuller(double r, double +Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided by G. Muller.

+

 

+

CAAIlluminatedFraction::PlutoMagnitudeAA

+

static double PlutoMagnitudeAA(double r, double Delta)

+

Return Value

+

The magnitude of the planet.

+

Parameters

+

r The planet's distance to the Sun in astronomical units.

+

Delta The planet's distance from the Earth in astronomical units.

+

Remarks

+

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

+

 

+

 

+

CAAInterpolate

+

This class provides the algorithms for interpolation. This refers to Chapter +3 in the book.

+

 

+

Functions this class provides include:

+

Interpolate

+

InterpolateToHalves

+

LangrangeInterpolate

+

Extremum

+

Zero

+

Zero2

+

 

+

CAAInterpolate::Interpolate

+

static double Interpolate(double n, double Y1, +double Y2, double Y3)

+

static double Interpolate(double n, double Y1, +double Y2, double Y3, double Y4, double +Y5)

+

Return Value

+

The interpolated Y value.

+

Parameters

+

n The interpolating factor.

+

Y1 The first Y value to interpolate from.

+

Y2 The second Y value to interpolate from.

+

Y3 The third Y value to interpolate from.

+

Y4 The fourth Y value to interpolate from.

+

Y5 The fifth Y value to interpolate from.

+

Remarks

+

Interpolates a function from 3 or 5 points.

+

 

+

CAAInterpolate::InterpolateToHalves

+

static double InterpolateToHalves(double Y1, double Y2, +double Y3, double Y4)

+

Return Value

+

The interpolated Y value.

+

Parameters

+

Y1 The first Y value to interpolate from.

+

Y2 The second Y value to interpolate from.

+

Y3 The third Y value to interpolate from.

+

Y4 The fourth Y value to interpolate from.

+

Remarks

+

Interpolates a function to the middle location where 4 evenly spaced values are +provided.

+

 

+

CAAInterpolate::LagrangeInterpolate

+

static double LagrangeInterpolate(double X, int n, +const double* pX, const double* pY)

+

Return Value

+

The interpolated Y value.

+

Parameters

+

X The X value to interpolate for.

+

n The size of the pX and pY arrays.

+

pX Pointer to the array of X coordinates to interpolate from.

+

pY Pointer to the array of Y coordinates to interpolate from.

+

Remarks

+

Interpolates a function using Lagrange's formula where an arbitrary number +of values are provided.

+

 

+

CAAInterpolate::Extremum

+

static double Extremum(double Y1, double Y2, double +Y3, double& nm)

+

static double Extremum(double Y1, double Y2, double +Y3, double Y4, double Y5, double& +nm)

+

Return Value

+

The extreme Y value.

+

Parameters

+

Y1 The first Y value to interpolate from.

+

Y2 The second Y value to interpolate from.

+

Y3 The third Y value to interpolate from.

+

Y4 The fourth Y value to interpolate from.

+

Y5 The fifth Y value to interpolate from.

+

nm Upon return will contain the corresponding value of the argument X +where the extremum is reached.

+

Remarks

+

Interpolates a function to determine where the function reaches an extremum.

+

 

+

CAAInterpolate::Zero

+

static double Zero(double Y1, double Y2, double +Y3)

+

static double Zero(double Y1, double Y2, double +Y3, double Y4, double Y5)

+

Return Value

+

The value of the argument X for which the function y becomes zero.

+

Parameters

+

Y1 The first Y value to interpolate from.

+

Y2 The second Y value to interpolate from.

+

Y3 The third Y value to interpolate from.

+

Y4 The fourth Y value to interpolate from.

+

Y5 The fifth Y value to interpolate from.

+

Remarks

+

Finds where a function reaches zero when the function is "almost a straight +line".

+

 

+

CAAInterpolate::Zero2

+

static double Zero2(double Y1, double Y2, double +Y3)

+

static double Zero2(double Y1, double Y2, double +Y3, double Y4, double Y5)

+

Return Value

+

The value of the argument X for which the function y becomes zero.

+

Parameters

+

Y1 The first Y value to interpolate from.

+

Y2 The second Y value to interpolate from.

+

Y3 The third Y value to interpolate from.

+

Y4 The fourth Y value to interpolate from.

+

Y5 The fifth Y value to interpolate from.

+

Remarks

+

Finds where a function reaches zero when the curvature of the function is important.

+

 

+

 

+

CAAJewishCalendar

+

This class provides the algorithms which convert between the Gregorian, Julian +and Jewish calendars. This refers to Chapter 9 in the book.

+

 

+

Functions this class provides include:

+

DateOfPesach

+

DaysInYear

+

IsLeap

+

 

+

CAAJewishCalendar::DateOfPesach

+

static CAACalendarDate DateOfPesach(long Year, bool bGregorianCalendar += false)

+

Return Value

+

A class containing

+

Year The year in the Jewish Calendar.

+

Month The month of the year in the Gregorian or Julian Calendar corresponding +to when Pesach occurs.

+

Day The day of the month in the Gregorian or Julian Calendar corresponding +to when Pesach occurs.

+

Parameters

+

Year The year in the Julian or Gregorian Calendar to calculate Jewish +Easter or Pesach for. (Years are counted astronomically i.e. 1 BC = Year 0)

+

bGregorianCalendar true to imply a date in the Gregorian Calendar, false +means use the Julian Calendar.

+

 

+

CAAJewishCalendar::DaysInYear

+

static long DaysInYear(long Year)

+

Return Value

+

The number of days in the specified Jewish Year

+

Parameters

+

Year The year in the Jewish Calendar.

+

 

+

CAAJewishCalendar::IsLeap

+

static bool IsLeap(long Year)

+

Return Value

+

true if the specified year is leap otherwise false.

+

Parameters

+

Year The year in the Jewish calendar.

+

 

+

 

+

CAAJupiter

+

This class provides for calculation of the heliocentric position of Jupiter. +This refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAJupiter::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAJupiter::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool +bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAJupiter::RadiusVector

+

static double RadiusVector(double JD, +bool +bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAKepler

+

This class provides for the solution of Kepler's equation. This refers to +Chapter 30 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAKepler::Calculate

+

static double Calculate(double M, double e, int nIterations += 53)

+

Return Value

+

The Eccentric anomaly in degrees (i.e. the solution to Kepler's equation).

+

Parameters

+

M The mean anomaly in degrees.

+

e The eccentricity of the orbit

+

nIterations The method uses the third method to solve the equation. This +uses a binary chop to find the solution. The default value of 53 is the number of +iterations required to obtain the accuracy of the standard Visual C "double".

+

 

+

 

+

CAAMars

+

This class provides for calculation of the heliocentric position of Mars. This +refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAMars::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAMars::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAMars::RadiusVector

+

static double RadiusVector(double JD, +bool bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAMercury

+

This class provides for calculation of the heliocentric position of Mercury. +This refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAMercury::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAMercury::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAMercury::RadiusVector

+

static double RadiusVector(double JD, +bool bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAMoon

+

This class provides the algorithms which obtain the position of the Moon. This +refers to Chapter 47 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

MeanAnnomaly

+

MeanElongation

+

MeanLongitude

+

MeanLongitudeAscendingNode

+

TrueLongitudeAscendingNode

+

MeanLongitudePergiee

+

ArgumentOfLatitude

+

RadiusVectorToHorizontalParallax

+

HorizontalParallaxToRadiusVector

+

 

+

CAAMoon::EclipticLongitude

+

static double EclipticLongitude(double JD)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::EclipticLatitude

+

static double EclipticLatitude(double JD)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::RadiusVector

+

static double RadiusVector(double JD)

+

Return Value

+

the radius vector in kilometres.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::MeanAnomaly

+

static double MeanAnomaly(double JD)

+

Return Value

+

the mean anomaly of the Moon in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::MeanElongation

+

static double MeanElongation(double JD)

+

Return Value

+

the mean elongation of the Moon in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::MeanLongitude

+

static double MeanLongitude(double JD)

+

Return Value

+

the mean longitude of the Moon in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::MeanLongitudeAscendingNode

+

static double MeanLongitudeAscendingNode(double JD)

+

Return Value

+

the mean longitude of the ascending node of the Moon in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::TrueLongitudeAscendingNode

+

static double TrueLongitudeAscendingNode(double JD)

+

Return Value

+

the true longitude of the ascending node of the lunar orbit in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::MeanLongitudePerigee

+

static double MeanLongitudePerigee(double JD)

+

Return Value

+

the mean longitude of the perigee of the lunar orbit in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::ArgumentOfLatitude

+

static double ArgumentOfLatitude(double JD)

+

Return Value

+

the argument of latitude (mean distance of the Moon from its ascending node) +in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAMoon::RadiusVectorToHorizontalParallax

+

static double RadiusVectorToHorizontalParallax(double RadiusVector)

+

Return Value

+

the parallax of the object in degrees.

+

Parameters

+

RadiusVector The distance to the object (e.g. Moon) in kilometres.

+

 

+

CAAMoon::HorizontalParallaxToRadiusVector

+

static double HorizontalParallaxToRadiusVector(double Parallax)

+

Return Value

+

RadiusVector The distance to the object in kilometres.

+

Parameters

+

the parallax of the object (e.g. Moon) in degrees.

+

 

+

 

+

CAAMoonIlluminatedFraction

+

This class provides algorithms for the Moon's elongation, phase angle and +illuminated fraction. This refers to Chapter 48 in the book.

+

 

+

Functions this class provides include:

+

GeocentricElongation

+

PhaseAngle

+

IlluminatedFraction

+

PositionAngle

+

 

+

CAAMoonIlluminatedFraction::GeocentricElongation

+

static double GeocentricElongation(double ObjectAlpha, double +ObjectDelta, double SunAlpha, double SunDelta)

+

Return Value

+

the elongation of the object from the Sun

+

Parameters

+

ObjectAlpha The geocentric right ascension of the object (e.g. the Moon) +expressed as an hour angle.

+

ObjectDelta The geocentric declination of the object (e.g. the Moon) +in degrees.

+

SunAlpha The geocentric right ascension of the Sun expressed as an hour +angle.

+

SunDelta The geocentric declination of the Sun in degrees.

+

 

+

CAAMoonIlluminatedFraction::PhaseAngle

+

static double PhaseAngle(double GeocentricElongation, +double EarthObjectDistance, double EarthSunDistance)

+

Return Value

+

the phase angle in degrees.

+

Parameters

+

GeocentricElongation The geocentric elongation in degrees.

+

EarthObjectDistance The distance in astronomical units between the Earth +and the object (the Moon)

+

EarthSunDistance The distance in astronomical units between the Earth +and the Sun

+

Remarks

+

The EarthObjectDistance and EarthSunDistance should be expressed in the same +units for instance in kilometres.

+

 

+

CAAMoonIlluminatedFraction::IlluminatedFraction

+

static double IlluminatedFraction(double PhaseAngle)

+

Return Value

+

the illuminated fraction (a value form 0 to 1).

+

Parameters

+

PhaseAngle The phase angle in degrees.

+

 

+

CAAMoonIlluminatedFraction::PositionAngle

+

static double PositionAngle(double Alpha0, +double Delta0, double Alpha, double Delta)

+

Return Value

+

the position angle of the midpoint of the illuminated limb of the object (the +Moon) in degrees.

+

Parameters

+

Alpha0 The geocentric right ascension of the Sun expressed as an hour +angle.

+

Delta0 The geocentric declination of the Sun in degrees.

+

Alpha The geocentric right ascension of the object (e.g. the Moon) expressed +as an hour angle.

+

Delta The geocentric declination of the object (e.g. the Moon) in degrees.

+

 

+

 

+

CAAMoonMaxDeclinations

+

This class provides algorithms to calculate the times when the Moon reaches its +maximum Northerly and Southerly declinations. This refers to Chapter 52 in the book.

+

 

+

Functions this class provides include:

+

K

+

MeanGreatestDeclination

+

MeanGreatestDeclinationValue

+

TrueGreatestDeclination

+

TrueGreatestDeclinationValue

+

 

+

CAAMoonMaxDeclinations::K

+

static double K(double Year)

+

Return Value

+

Returns the approximate value of K (required by the other methods of CAAMoonMaxDeclinations) +for calculation of the Moon's max declination.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded to an +integer by client code before calling other methods in this class with this K +value. Any other value of K will give meaningless values.

+

 

+

CAAMoonMaxDeclinations::MeanGreatestDeclination

+

static double MeanGreatestDeclination(double k, +bool bNortherly)

+

Return Value

+

Returns the date in Dynamical time when the mean maximum declination occurs.

+

Parameters

+

k The K value to calculate the max declination for. This K value must +be an integer value. Any other value of K will give meaningless values.

+

bNortherly true if this is a calculation for a maximum northerly declination, +false implies a calculation of the a maximum southerly declination.

+

 

+

CAAMoonMaxDeclinations::MeanGreatestDeclinationValue

+

static double MeanGreatestDeclinationValue(double k)

+

Return Value

+

Returns the mean maximum declination in degrees.

+

Parameters

+

k The K value to calculate the max declination for. This K value must +be an integer value. Any other value of K will give meaningless values.

+

 

+

CAAMoonMaxDeclinations::TrueGreatestDeclination

+

static double TrueGreatestDeclination(double k, +bool bNortherly)

+

Return Value

+

Returns the date in Dynamical time when the true maximum declination occurs.

+

Parameters

+

k The K value to calculate the max declination for. This K value must +be an integer value. Any other value of K will give meaningless values.

+

bNortherly true if this is a calculation for a maximum northerly declination, +false implies a calculation of the a maximum southerly declination.

+

 

+

CAAMoonMaxDeclinations::TrueGreatestDeclinationValue

+

static double TrueGreatestDeclinationValue(double k)

+

Return Value

+

Returns the true maximum declination in degrees.

+

Parameters

+

k The K value to calculate the max declination for. This K value must +be an integer value. Any other value of K will give meaningless values.

+

 

+

 

+

CAAMoonMaxDeclinations2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAMoonMaxDeclinations class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAMoonMaxDeclinations2::Calculate

+

static std::vector<CAAMoonMaxDeclinationsDetails2> Calculate(double +StartJD, double EndJD, double +StepInterval = 0.007, Algorithm +algorithm = Algorithm::MeeusTruncated)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be MaxNorthernDeclination or MaxSourthernDeclination.

+

JD The date in Dynamical time on which the event occurs.

+

Declination this will be the +maximum geocentric declination of the Moon at time JD.

+

RA this will be the Right Ascension of the Moon at time JD

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

Algorithm An enum class representing the algorithm to use for the calculation. Can be +MeeusTruncated which represents the truncated ELP2000 algorithm presented in the +book, ELP2000 which uses the full ELP2000 algorithm, ELPMPP02Nominal which uses +the ELPMPP02 Nominal fit, ELPMPP02LLR which uses the ELPMPP02 Lunar Laser +Ranging fit, ELPMPP02DE405 which uses the ELPMPP02 DE405 fit and ELPMPP02DE406 +which uses the ELPMPP02 DE406 fit.

+

 

+

 

+

CAAMoonNodes

+

This class provides algorithms which obtain dates when the Moon passes through +its nodes. This refers to Chapter 51 in the book.

+

 

+

Functions this class provides include:

+

K

+

PassageThroNode

+

 

+

CAAMoonNodes::K

+

static double K(double Year)

+

Return Value

+

Returns the approximate value of K (required by the other methods of CAAMoonNodes) +for calculation of the specified passage thro the node.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded to an +integer or an integer + 0.5 by client code before calling other methods in this +class with this K value. Any other value of K will give meaningless values.

+

 

+

CAAMoonNodes::PassageThroNode

+

static double PassageThroNode(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified passage thro the node occurs.

+

Parameters

+

k The K value to calculate the passage thro the node for. This K value +must be an integer value or an integer value + 0.5. Any other value of K will +give meaningless values.

+

 

+

 

+

CAAMoonNodes2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAMoonNodes class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAMoonNodes2::Calculate

+

static std::vector<CAAMoonNodesDetails2> Calculate(double +StartJD, double EndJD, double +StepInterval = 0.007, Algorithm +algorithm = Algorithm::MeeusTruncated)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Ascending or Descending.

+

JD The date in Dynamical time on which the event occurs.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

Algorithm An enum class representing the algorithm to use for the calculation. Can be +MeeusTruncated which represents the truncated ELP2000 algorithm presented in the +book, ELP2000 which uses the full ELP2000 algorithm, ELPMPP02Nominal which uses +the ELPMPP02 Nominal fit, ELPMPP02LLR which uses the ELPMPP02 Lunar Laser +Ranging fit, ELPMPP02DE405 which uses the ELPMPP02 DE405 fit and ELPMPP02DE406 +which uses the ELPMPP02 DE406 fit.

+

 

+

 

+

CAAMoonPerigeeApogee

+

This class provides algorithms to calculate the approximate times when the distance +between the Earth and the Moon is a minimum (perigee) or a maximum (apogee). This +refers to Chapter 50 in the book.

+

 

+

Functions this class provides include:

+

K

+

MeanPerigee

+

MeanApogee

+

TruePerigee

+

TrueApogee

+

PerigeeParallax

+

ApogeeParallax

+

 

+

CAAMoonPerigeeApogee::K

+

static double K(double Year)

+

Return Value

+

Returns the approximate value of K (required by the other methods of CAAMoonPerigeeApogee) +for calculation of the specified phase.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded to an +integer or an integer + 0.5 by client code before calling other methods in this +class with this K value. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::MeanPerigee

+

static double MeanPerigee(double k)

+

Return Value

+

Returns the date in Dynamical time when the mean perigee occurs.

+

Parameters

+

k The K value to calculate the perigee for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::MeanApogee

+

static double MeanApogee(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified mean apogee occurs.

+

Parameters

+

k The K value to calculate the apogee for. This K value must be an +integer value + 0.5. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::TruePerigee

+

static double TruePerigee(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified true perigee occurs.

+

Parameters

+

k The K value to calculate the perigee for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::TrueApogee

+

static double TrueApogee(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified true apogee occurs.

+

Parameters

+

k The K value to calculate the apogee for. This K value must be an +integer value + 0.5. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::PerigeeParallax

+

static double PerigeeParallax(double k)

+

Return Value

+

Returns the parallax at the specified perigee in degrees.

+

Parameters

+

k The K value to calculate the perigee parallax for. This K value must +be an integer value. Any other value of K will give meaningless values.

+

 

+

CAAMoonPerigeeApogee::ApogeeParallax

+

static double ApogeeParallax(double k)

+

Return Value

+

Returns the parallax at the specified apogee in degrees.

+

Parameters

+

k The K value to calculate the apogee parallax for. This K value must +be an integer value + 0.5. Any other value of K will give meaningless values.

+

 

+

 

+

CAAMoonPerigeeApogee2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAMoonPerigeeApogee class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAMoonPerigeeApogee2::Calculate

+

static std::vector<CAAMoonPerigeeApogeeDetails2> Calculate(double +StartJD, double EndJD, double +StepInterval = 0.007, Algorithm +algorithm = Algorithm::MeeusTruncated)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Perigee or Apogee.

+

JD The date in Dynamical time on which the event occurs.

+

Value this will be the +distance of the Moon in Kilometers at time JD.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

Algorithm An enum class representing the algorithm to use for the calculation. Can be +MeeusTruncated which represents the truncated ELP2000 algorithm presented in the +book, ELP2000 which uses the full ELP2000 algorithm, ELPMPP02Nominal which uses +the ELPMPP02 Nominal fit, ELPMPP02LLR which uses the ELPMPP02 Lunar Laser +Ranging fit, ELPMPP02DE405 which uses the ELPMPP02 DE405 fit and ELPMPP02DE406 +which uses the ELPMPP02 DE406 fit.

+

 

+

 

+

CAAMoonPhases

+

This class provides algorithms which obtain the dates for the phases of the Moon. +This refers to Chapter 49 in the book.

+

 

+

Functions this class provides include:

+

K

+

MeanPhase

+

TruePhase

+

 

+

CAAMoonPhases::K

+

static double K(double Year)

+

Return Value

+

Returns the approximate value of K (required by the other methods of CAAMoonPhases) +for calculation of the specified phase.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded to an +integer, an integer + 0.25, an integer + 0.5 or an integer + 0.75 by client code before calling other methods in this +class with this K value. Any other value of K will give meaningless values.

+

 

+

CAAMoonPhases::MeanPhase

+

static double MeanPhase(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified mean moon phase occurs.

+

Parameters

+

k The K value to calculate the phase for. This K value must be an +integer value for New Moon, an integer value + 0.25 for First Quarter, an integer value + 0.5 +for Full Moon or an integer +value + 0.75 fr Last Quarter. Any other value of K will give meaningless values.

+

 

+

CAAMoonPhases::TruePhase

+

static double TruePhase(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified true moon phase occurs.

+

Parameters

+

k The K value to calculate the phase for. This K value must be an +integer value for New Moon, an integer value + 0.25 for First Quarter, an integer value + 0.5 +for Full Moon or an integer +value + 0.75 fr Last Quarter. Any other value of K will give meaningless values.

+

 

+

 

+

CAAMoonPhases2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAMoonPhases class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAMoonPhases2::Calculate

+

static std::vector<CAAMoonPhasesDetails2> Calculate(double +StartJD, double EndJD, double +StepInterval = 0.007, Algorithm +algorithm = Algorithm::MeeusTruncated)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be NewMoon, FirstQuarter, FullMoon or LastQuarter

+

JD The date in Dynamical time on which the event occurs.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

Algorithm An enum class representing the algorithm to use for the calculation. Can be +MeeusTruncated which represents the truncated ELP2000 algorithm presented in the +book, ELP2000 which uses the full ELP2000 algorithm, ELPMPP02Nominal which uses +the ELPMPP02 Nominal fit, ELPMPP02LLR which uses the ELPMPP02 Lunar Laser +Ranging fit, ELPMPP02DE405 which uses the ELPMPP02 DE405 fit and ELPMPP02DE406 +which uses the ELPMPP02 DE406 fit.

+

 

+

 

+

CAAMoslemCalendar

+

This class provides the algorithms which convert between the Julian and Moslem +calendars. This refers to Chapter 9 in the book.

+

 

+

Functions this class provides include:

+

JulianToMoslem

+

MoslemToJulian

+

IsLeap

+

 

+

CAAMoslemCalendar::JulianToMoslem

+

static CAACalendarDate JulianToMoslem(long Year, long +Month, long Day)

+

Return Value

+

A class containing

+

Year The year in the Moslem Calendar.

+

Month The month of the year in the Moslem Calendar (1 for Muharram to +12 for Dhu l-Hijja).

+

Day The day of the month in the Moslem Calendar.

+

Parameters

+

Year The year in the Julian Calendar to convert. (Years are counted astronomically +i.e. 1 BC = Year 0)

+

Month The month of the year in the Julian Calendar (1 for January to 12 +for December).

+

Day The day of the month in the Julian Calendar.

+

 

+

CAAMoslemCalendar::MoslemToJulian

+

static CAACalendarDate MoslemToJulian(long Year, long +Month, long Day)

+

Return Value

+

A class containing

+

Year The year in the Julian Calendar.

+

Month The month of the year in the Julian Calendar  (1 for January +to 12 for December).

+

Day The day of the month in the Julian Calendar.

+

Parameters

+

Year The year in the Moslem Calendar to convert

+

Month The month of the year in the Moslem Calendar (1 for Muharram to +12 for Dhu l-Hijja).

+

Day The day of the month in the Moslem Calendar.

+

 

+

CAAMoslemCalendar::IsLeap

+

static bool IsLeap(long Year)

+

Return Value

+

true if the specified year is leap otherwise false.

+

Parameters

+

Year The year in the Moslem calendar.

+

 

+

 

+

CAANearParabolic

+

This class provides for calculation of the position of an object in an orbit +which can be best modelled as near parabolic i.e. eccentricity between 0.98 and +1.02. Chapter 35 in the book includes support for calculating Near-parabolic orbits, +but the code is provided in BASIC and the algorithm as presented has problems converging +when the eccentricity is close to 1. Instead the algorithms used in this class are +based upon the worked examples which Paul Schlyter has provided at +http://stjarnhimlen.se/comp/tutorial.html#16

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAANearParabolic::Calculate

+

static CAANearParabolicObjectDetails Calculate(double JD, const +CAANearParabolicObjectElements& elements, bool +bHighPrecision)

+

Return Value

+

A class containing

+

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial +coordinates of the object.

+

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical +coordinates of the object.

+

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in +degrees of the object.

+

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees +of the object.

+

TrueGeocentricRA The geocentric right ascension of the object as an hour +angle (i.e. without light time correction applied).

+

TrueGeocentricDeclination The geocentric declination of the object in +degrees (i.e. without light time correction applied).

+

TrueGeocentricDistance The true distance in astronomical units between +the Earth and the object.

+

TrueGeocentricLightTime The light travel time in days from the Earth to +the object.

+

AstrometricGeocentricRA The geocentric right ascension of the object as +an hour angle (i.e. with light time correction applied)

+

AstrometricGeocentricDeclination The geocentric declination of the object +in degrees (i.e. with light time correction applied)

+

AstrometricGeocentricDistance The observed distance of the object in astronomical +units.

+

AstrometricGeocentricLightTime The observed light travel time of the object +in days.

+

Elongation The elongation of the object to the Sun in degrees.

+

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

elements A class containing the following orbital elements

+

q The perihelion distance in astronomical units.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox The Julian Date for which equatorial coordinates should be calculated +for.

+

T The Julian date of the time of passage in perihelion.

+

e Eccentricity of the orbit

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAANeptune

+

This class provides for calculation of the heliocentric position of Neptune. +This refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAANeptune::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAANeptune::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAANeptune::RadiusVector

+

static double RadiusVector(double JD, +bool bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAANodes

+

This class provides for calculation of the time of passages from the orbital +elements of a planet or comet through the nodes of its orbit. This refers to Chapter +39 in the book.

+

 

+

Functions this class provides include:

+

PassageThroAscendingNode (for Elliptical +orbits)

+

PassageThroDescendingNode (for Elliptical +orbits)

+

PassageThroAscendingNode (for Parabolic orbits)

+

PassageThroDescendingNode (for Parabolic orbits)

+

 

+

CAANodes::PassageThroAscendingNode

+

static CAANodeObjectDetails PassageThroAscendingNode(const CAAEllipticalObjectElements& +elements);

+

Return Value

+

A class containing

+

t The date in Dynamical time to when the body moves thro the ascending +node.

+

radius The radius vector in astronomical units.

+

Parameters

+

elements A class containing the following orbital elements

+

a The semi major axis in astronomical units.

+

e The eccentricity of the orbit.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox Unused in this function's use of CAAEllipticalObjectElements.

+

T The Julian date of the time of passage in perihelion.

+

 

+

CAANodes::PassageThroDescendingNode

+

static CAANodeObjectDetails PassageThroDescendingNode(const CAAEllipticalObjectElements& +elements);

+

Return Value

+

A class containing

+

t The date in Dynamical time to when the body moves thro the ascending +node.

+

radius The radius vector in astronomical units.

+

Parameters

+

elements A class containing the following orbital elements

+

a The semi major axis in astronomical units.

+

e The eccentricity of the orbit.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox Unused in this function's use of CAAEllipticalObjectElements.

+

T The Julian date of the time of passage in perihelion.

+

 

+

CAANodes::PassageThroAscendingNode

+

static CAANodeObjectDetails PassageThroAscendingNode(const CAAParabolicObjectElements& +elements);

+

Return Value

+

A class containing

+

t The date in Dynamical time to when the body moves thro the ascending +node.

+

radius The radius vector in astronomical units.

+

Parameters

+

elements A class containing the following orbital elements

+

q The perihelion distance in astronomical units.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox Unused in this function's use of CAAParabolicObjectElements.

+

T The Julian date of the time of passage in perihelion.

+

 

+

CAANodes::PassageThroDescendingNode

+

static CAANodeObjectDetails PassageThroDescendingNode(const CAAParabolicObjectElements& +elements);

+

Return Value

+

A class containing

+

t The date in Dynamical time to when the body moves thro the ascending +node.

+

radius The radius vector in astronomical units.

+

Parameters

+

elements A class containing the following orbital elements

+

q The perihelion distance in astronomical units.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox Unused in this function's use of CAAParabolicObjectElements.

+

T The Julian date of the time of passage in perihelion.

+

 

+

 

+

CAANutation

+

This class provides for calculation of Nutation and the Obliquity of the Ecliptic. +This refers to Chapter 22 and parts of Chapter 23 in the book.

+

 

+

Functions this class provides include:

+

NutationInLongitude

+

NutationInObliquity

+

NutationInRightAscension

+

NutationInDeclination

+

MeanObliquityOfEcliptic

+

TrueObliquityOfEcliptic

+

 

+

CAANutation::NutationInLongitude

+

static double NutationInLongitude(double JD)

+

Return Value

+

The nutation in ecliptic longitude in arc seconds of a degree.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAANutation::NutationInObliquity

+

static double NutationInObliquity(double JD)

+

Return Value

+

The nutation in obliquity in arc seconds of a degree.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAANutation::NutationInRightAscension

+

static double NutationInRightAscension(double Alpha, double +Delta, double Obliquity, double NutationInLongitude, +double NutationInObliquity)

+

Return Value

+

The nutation in right ascension in arc seconds of a degree.

+

Parameters

+

Alpha The right ascension of the position in hour angles.

+

Delta The declination of the position in degrees.

+

Obliquity The obliquity of the Ecliptic in degrees.

+

NutationInLongitude The nutation in longitude in arc seconds of a degree.

+

NutationInObliquity The nutation in obliquity in arc seconds of a degree.

+

Remarks

+

This refers to algorithm 23.1 on page 151.

+

 

+

CAANutation::NutationInDeclination

+

static double NutationInDeclination(double Alpha, double +Delta, double Obliquity, double NutationInLongitude, +double NutationInObliquity)

+

Return Value

+

The nutation in declination in arc seconds of a degree.

+

Parameters

+

Alpha The right ascension of the position in hour angles.

+

Delta The declination of the position in degrees.

+

Obliquity The obliquity of the Ecliptic in degrees.

+

NutationInLongitude The nutation in longitude in arc seconds of a degree.

+

NutationInObliquity The nutation in obliquity in arc seconds of a degree.

+

Remarks

+

This refers to algorithm 23.1 on page 151.

+

 

+

CAANutation::MeanObliquityOfEcliptic

+

static double MeanObliquityOfEcliptic(double JD)

+

Return Value

+

The mean obliquity of the ecliptic in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAANutation::TrueObliquityOfEcliptic

+

static double TrueObliquityOfEcliptic(double JD)

+

Return Value

+

The true obliquity of the ecliptic in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAParabolic

+

This class provides for calculation of the position of an object in a parabolic +orbit. This refers to Chapter 34 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

CalculateBarkers

+

 

+

CAAParabolic::Calculate

+

static CAAParabolicObjectDetails Calculate(double JD, const +CAAParabolicObjectElements& elements, bool +bHighPrecision)

+

Return Value

+

A class containing

+

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial +coordinates of the object.

+

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical +coordinates of the object.

+

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in +degrees of the object.

+

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees +of the object.

+

TrueGeocentricRA The geocentric right ascension of the object as an hour +angle (i.e. without light time correction applied).

+

TrueGeocentricDeclination The geocentric declination of the object in +degrees (i.e. without light time correction applied).

+

TrueGeocentricDistance The true distance in astronomical units between +the Earth and the object.

+

TrueGeocentricLightTime The light travel time in days from the Earth to +the object.

+

AstrometricGeocenticRA The geocentric right ascension of the object as +an hour angle (i.e. with light time correction applied)

+

AstrometricGeocentricDeclination The geocentric declination of the object +in degrees (i.e. with light time correction applied)

+

AstrometricGeocentricDistance The observed distance of the object in astronomical +units.

+

AstrometricGeocentricLightTime The observed light travel time of the object +in days.

+

Elongation The elongation of the object to the Sun in degrees.

+

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

elements A class containing the following orbital elements

+

q The perihelion distance in astronomical units.

+

i The inclination of the plane of the orbit in degrees.

+

w The argument of the perihelion in degrees.

+

omega The longitude of the ascending node in degrees.

+

JDEquinox The Julian Date for which equatorial coordinates should be calculated +for.

+

T The Julian date of the time of passage in perihelion.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAParabolic::CalculateBarkers

+

static double CalculateBarkers(double W)

+

Return Value

+

The solution to Barkers equation as described in algorithm 34.3 on page 241.

+

Parameters

+

W The value W as described in algorithm 34.1 on page 241.

+

 

+

 

+

CAAParallactic

+

This class provides for measurement of various angles on the celestial globe. +This refers to Chapter 14 in the book.

+

 

+

Functions this class provides include:

+

ParallacticAngle

+

EclipticLongitudeOnHorizon

+

AngleBetweenEclipticAndHorizon

+

AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic

+

 

+

CAAParallactic::ParallacticAngle

+

static double ParallacticAngle(double HourAngle, double +Latitude, double delta)

+

Return Value

+

Returns the parallactic angle (the ZCN angle) and is generally designated by +q.

+

Parameters

+

HourAngle The hour angle.

+

Latitude The latitude of the position in degrees.

+

Delta The declination in degrees.

+

Remarks

+

This refers to algorithm 14.1 on page 98.

+

 

+

CAAParallactic::EclipticLongitudeOnHorizon

+

static double EclipticLongitudeOnHorizon(double LocalSiderealTime, +double ObliquityOfEcliptic, double Latitude)

+

Return Value

+

Returns the ecliptic longitude of two points which are (180 degrees apart) on +the horizon.

+

Parameters

+

LocalSiderealTime The local sidereal time measured in hours.

+

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

+

Latitude The latitude of the position in degrees.

+

Remarks

+

This refers to algorithm 14.2 on page 99.

+

 

+

CAAParallactic::AngleBetweenEclipticAndHorizon

+

static double AngleBetweenEclipticAndHorizon(double LocalSiderealTime, +double ObliquityOfEcliptic, double Latitude)

+

Return Value

+

Returns the angle in degrees of the diurnal path of a celestial body (not the +ecliptic) relative to the horizon at the time of its rising or setting.

+

Parameters

+

LocalSiderealTime The local sidereal time measured in hours.

+

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

+

Latitude The latitude of the position in degrees.

+

Remarks

+

This refers to algorithm at the top of page 100.

+

 

+

CAAParallactic::AngleBetweenNorthCelestrialPoleAndNorthPoleOfEcliptic

+

static double AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double +Lambda, double Beta, double ObliquityOfEcliptic)

+

Return Value

+

Return the angle in degrees between the direction of the northern celestial pole +and the direction of the north pole of the ecliptic, at the star.

+

Parameters

+

Lambda The ecliptical longitude in degrees.

+

Beta The ecliptical latitude of the star in degrees.

+

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

+

Remarks

+

This refers to algorithm at the top of page 100.

+

 

+

 

+

CAAParallax

+

This class provides for calculation of the topocentric coordinates of a body +as seen from the observer's place on the Earth's surface. This refers to +Chapter 40 in the book.

+

 

+

Functions this class provides include:

+

Equatorial2TopocentricDelta

+

Equatorial2Topocentric

+

Ecliptic2Topocentric

+

ParallaxToDistance

+

DistanceToParallax

+

 

+

CAAParallax::Equatorial2TopocentricDelta

+

static CAA2DCoordinate Equatorial2TopocentricDelta(double Alpha, +double Delta, double Distance, double Longitude, +double Latitude, double Height, double JD)

+

Return Value

+

Returns the corrections in equatorial coordinates in a CAA2DCoordinate class. +The x value in the class corresponds to the correction in right ascension expressed +as an hour angle and the y value corresponds to the correction in declination in +degrees.

+

Parameters

+

Alpha The right ascension in hours of the object at time JD.

+

Delta The declination in degrees of the object at time JD.

+

Distance The distance (in astronomical units) to the Earth.

+

Longitude The longitude in degrees (Positive west, negative east from +Greenwich).

+

Latitude The latitude in degrees.

+

Height The observer's height above sea level in meters.

+

JD The date in Dynamical time to calculate for.

+

Remarks

+

This returns the difference between the geocentric and topocentric values. This +refers to equation 40.4 and 40.5 on page 280.

+

 

+

CAAParallax::Equatorial2Topocentric

+

static CAA2DCoordinate Equatorial2Topocentric(double Alpha, +double Delta, double Distance, double Longitude, +double Latitude, double Height, double JD)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to right ascension expressed as an hour angle and +the y value corresponds to the right ascension in degrees.

+

Parameters

+

Alpha The right ascension in hours of the object at time JD.

+

Delta The declination in degrees of the object at time JD.

+

Distance The distance (in astronomical units) to the Earth.

+

Longitude The longitude in degrees.

+

Latitude The latitude in degrees.

+

Height The observer's height above sea level in meters

+

JD The date in Dynamical time to calculate for.

+

Remarks

+

This returns the rigorous conversion between the geocentric and topocentric values. +This refers to equation 40.2 and 40.3 on page 279.

+

 

+

CAAParallax::Ecliptic2Topocentric

+

static CAATopocentricEclipticDetails Ecliptic2Topocentric(double Lambda, +double Beta, double Semidiameter, double Distance, +double Epsilon, double Latitude, double Height, +double JD)

+

Return Value

+

A class containing

+

Lambda The topocentric ecliptical longitude in degrees.

+

Beta The topocentric ecliptical latitude in degrees.

+

Semidiameter The topocentric semi diameter in degrees.

+

Parameters

+

Lambda The ecliptical longitude in degrees.

+

Beta The ecliptical latitude in degrees.

+

Semidiameter The geocentric semi diameter in degrees.

+

Distance The distance (in astronomical units) to the Earth.

+

Epsilon The obliquity of the ecliptic in degrees.

+

Latitude The latitude in degrees.

+

Height The observer's height above sea level in meters.

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAParallax::ParallaxToDistance

+

static double ParallaxToDistance(double Parallax)

+

Return Value

+

Returns the distance in astronomical units.

+

Parameters

+

Parallax The parallax of the body in degrees.

+

 

+

CAAParallax::DistanceToParallax

+

static double DistanceToParallax(double Distance)

+

Return Value

+

Returns the parallax in degrees.

+

Parameters

+

Distance The distance (in astronomical units) to the body.

+

 

+

 

+

CAAPhysicalJupiter

+

This class provides for calculation of various physical parameters related to +the Jupiter. This refers to Chapter 43 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAPhysicalJupiter::Calculate

+

static CAAPhysicalJupiterDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class containing

+

DE The planetocentric declination in degrees of the Earth.

+

DS The planetocentric declination in degrees of the Sun.

+

Geometricw1 The geometric longitude in degrees of the central meridian +for System 1.

+

Geometricw2 The geometric longitude in degrees of the central meridian +for System 2.

+

Apparentw1 The apparent longitude in degrees of the central meridian for +System 1.

+

Apparentw2 The geometric longitude in degrees of the central meridian +for System 2.

+

P The position angle of Jupiter's northern rotational pole in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAPhysicalMars

+

This class provides for calculation of various physical parameters related to +the Mars. This refers to Chapter 42 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAPhysicalMars::Calculate

+

static CAAPhysicalMarsDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class containing

+

DE The planetocentric declination in degrees of the Earth.

+

DS The planetocentric declination in degrees of the Sun.

+

w The aerographic longitude in degrees of the central meridian as seen from Earth.

+

P The geocentric position angle of Mars' northern rotational pole +in degrees.

+

X The position angle in degrees of the mid-point of the illuminated limb.

+

k The illuminated fraction of the planet's disk.

+

q The defect of illumination.

+

d The apparent diameter of Mars in arc seconds.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAPhysicalMoon

+

This class provides for calculation of various physical parameters related to +the Moon. This refers to Chapter 53 in the book.

+

 

+

Functions this class provides include:

+

CalculateGeocentric

+

CalculateTopocentric

+

CalculateSelenographicPositionOfSun

+

AltitudeOfSun

+

TimeOfSunrise

+

TimeOfSunset

+

 

+

CAAPhysicalMoon::CalculateGeocentric

+

static CAAPhysicalMoonDetails CalculateGeocentric(double +JD)

+

Return Value

+

A class containing

+

ldash The optical libration in longitude in degrees.

+

bdash The optical libration in latitude in degrees.

+

ldash2 The physical libration in longitude in degrees.

+

bdash2 The physical libration in latitude in degrees.

+

l The total libration in longitude in degrees.

+

b The total libration in latitude in degrees.

+

P The position angle in degrees of the Moon's axis of rotation.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

Remarks

+

Calculates the physical parameters referred to the centre of the Earth

+

 

+

CAAPhysicalMoon::CalculateTopcentric

+

static CAAPhysicalMoonDetails CalculateTopocentric(double +JD, double Longitude, double Latitude)

+

Return Value

+

A class containing

+

ldash The optical libration in longitude in degrees.

+

bdash The optical libration in latitude in degrees.

+

ldash2 The physical libration in longitude in degrees.

+

bdash2 The physical libration in latitude in degrees.

+

l The total libration in longitude in degrees.

+

b The total libration in latitude in degrees.

+

P The position angle in degrees of the Moon's axis of rotation.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

Longitude The topocentric longitude in degrees of the position to perform +the calculation for.

+

Latitude The topocentric latitude in degrees of the position to perform +the calculation for.

+

Remarks

+

Calculates the physical parameters referred to the specified position on the +Earth

+

 

+

CAAPhysicalMoon::CalculateSelenographicPositionOfSun

+

static CAAPSelenographicMoonDetails CalculateSelenographicPositionOfSun(double +JD, bool bHighPrecision)

+

Return Value

+

A class containing

+

l0 The longitude in degrees of the sub solar point.

+

b0 The latitude in degrees of the sub solar point.

+

c0 The selenographic colongitude of the sun.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAPhysicalMoon::AltitudeOfSun

+

static double AltitudeOfSun(double JD, double Longitude, +double Latitude, bool bHighPrecision)

+

Return Value

+

Returns the altitude in degrees of the Sun at the specified lunar location.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

Longitude The selenographic longitude in degrees of the position to perform +the calculation for.

+

Latitude The selenographic latitude in degrees of the position to perform +the calculation for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAPhysicalMoon::TimeOfSunrise

+

static double TimeOfSunrise(double JD, double Longitude, +double Latitude, bool bHighPrecision)

+

Return Value

+

Returns the nearest Julian date in Dynamical time when the Sun rises at the specified +lunar location. This value will always be earlier than the parameter "JD"

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

Longitude The selenographic longitude in degrees of the position to perform +the calculation for.

+

Latitude The selenographic latitude in degrees of the position to perform +the calculation for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAPhysicalMoon::TimeOfSunset

+

static double TimeOfSunset(double JD, double Longitude, +double Latitude, bool bHighPrecision)

+

Return Value

+

Returns the nearest Julian date in Dynamical time when the Sun rises at the specified +lunar location. This value will always be later than the parameter "JD"

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

Longitude The selenographic longitude in degrees of the position to perform +the calculation for.

+

Latitude The selenographic latitude in degrees of the position to perform +the calculation for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAPhysicalSun

+

This class provides for calculation of various physical parameters related to +the Sun. This refers to Chapter 29 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAPhysicalSun::Calculate

+

static CAAPhysicalSunDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class containing

+

P The position angle in degrees of the northern extremity of the axis +of rotation.

+

B0 The heliographic latitude in degrees of the centre of the solar disk.

+

L0 The heliographic longitude in degrees of the centre of the solar disk.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAPlanetaryPhenomena

+

This class provides for the calculation of several configurations involving planets +Mercury to Neptune; oppositions and conjunctions with the Sun, greatest elongations, +and stations. This refers to Chapter 36 in the book.

+

 

+

Functions this class provides include:

+

K

+

Mean

+

True

+

ElongationValue

+

 

+

CAAPlanetaryPhenomena::K

+

static double K(double Year, PlanetaryObject object, +EventType type)

+

Return Value

+

Returns the approximate value of K (required by the other methods of CAAPlanetaryPhenomena) +for calculation of the various event types.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

object An enum specifying the planet to calculate for.

+

type An enum to specify the event type to calculate.

+

Remarks

+

Please note that the return value from this method must be rounded to an +integer by client code before calling other methods in this class with this K +value. Any other value of K will give meaningless values. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetaryPhenomena::Mean

+

static double Mean(double k, PlanetaryObject object, +EventType type)

+

Return Value

+

Returns the date in Dynamical time when the specified mean planetary configuration +occurs (that is, calculated from circular orbits and uniform planetary motions).

+

Parameters

+

k The K value to calculate the phenomena for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

object An enum specifying the planet to calculate for.

+

type An enum to specify the event type to calculate.

+

 

+

CAAPlanetaryPhenomena::True

+

static double True(double k, PlanetaryObject object, +EventType type)

+

Return Value

+

Returns the date in Dynamical time when the true planetary configuration occurs.

+

Parameters

+

k The K value to calculate the phenomena for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

object An enum specifying the planet to calculate for.

+

type An enum to specify the event type to calculate.

+

 

+

CAAPlanetaryPhenomena::ElongationValue

+

static double ElongationValue(double k, PlanetaryObject +object, bool bEastern)

+

Return Value

+

the value of the greatest elongation of a planet.

+

Parameters

+

k The K value to calculate the phenomena for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

object An enum specifying the planet to calculate for.

+

bEastern true if you want the elongation value for the eastern elongation, +otherwise false implies western elongation.

+

 

+

 

+

CAAPlanetaryPhenomena2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAPlanetaryPhenomena class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAPlanetaryPhenomena2::Calculate

+

static std::vector<CAAPlanetaryPhenomenaDetails2> Calculate(double +StartJD, double EndJD, Object object, double +StepInterval = 0.007, bool +bHighPrecision = false)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be InferiorConjunctionInEclipticLongitude, +InferiorConjunctionInRA, InferiorConjunctionInAngularDistance, +SuperiorConjunctionInEclipticLongitude, SuperiorConjunctionInRA, +SuperiorConjunctionInAngularDistance, +GreatestWesternElongationInEclipticLongitude, GreatestWesternElongationInRA, +GreatestWesternElongationInAngularDistance, +GreatestEasternElongationInEclipticLongitude, GreatestEasternElongationInRA, GreatestEasternElongationInAngularDistance, +OppositionInEclipticLongitude, OppositionInRA, OppositionInAngularDistance, ConjunctionInEclipticLongitude, +ConjunctionInRA, ConjunctionInAngularDistance, Station1InEclipticLongitude, Station1InRA, Station2InEclipticLongitude, +Station2InRA, WesternQuadratureInEclipticLongitude, WesternQuadratureInRA, WesternQuadratureInAngularDistance, +EasternQuadratureInEclipticLongitude, EasternQuadratureInRA or EasternQuadratureInAngularDistance.

+

JD The date in Dynamical time on which the event occurs.

+

Value1 this will contain different values depending on the value in +"type".

+

Value2 A second value which will contain different values depending +on the value in "type".

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

Object The object type you want to calculate for. This is an enum class of +type Object inside the CAAPlanetaryPhenomenaDetails2 class and can be MERCURY, +VENUS, MARS, JUPITER, SATURN, URANUS or NEPTUNE.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

Notes

+

The definition of the "Type", its meaning, and the meaning of "Value" in the CAAPlanetPhenomenaDetails2 +struct are as follows:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeMeaningValue
InferiorConjunctionInEclipticLongitudeThe instant when the object's Apparent Ecliptic Longitude is the + same as the Sun's and the object is between the Sun and Earth. This can + only occur for Mercury or Venus.By definition the value 0.
InferiorConjunctionInRAThe instant when the object's Apparent Right Ascension is the same + as the Sun's and the object is between the Sun and Earth. This can only + occur for Mercury or Venus.By definition the value 0.
InferiorConjunctionInAngularDistanceThe instant when the object's apparent elongation from the Sun is a + minimum and the object is between the Sun and Earth. This can only occur + for Mercury or Venus.The apparent elongation between the object and the Sun in degrees + when the event occurs.
SuperiorConjunctionInEclipticLongitudeThe instant when the object's Apparent Ecliptic Longitude is the + same as the Sun's and the object is beyond the Sun as seen from Earth. + This can only occur for Mercury or Venus.By definition the value 0.
SuperiorConjunctionInRAThe instant when the object's Apparent Right Ascension is the same + as the Sun's and the object is beyond the Sun as seen from Earth. This + can only occur for Mercury or Venus.By definition the value 0.
SuperiorConjunctionInAngularDistanceThe instant when the object's apparent elongation from the Sun is a + minimum and the object is beyond the Sun as seen from Earth. This can + only occur for Mercury or Venus.The apparent elongation between the object and the Sun in degrees + when the event occurs.
GreatestWesternElongationInEclipticLongitudeThe instant when the difference in the object's Apparent Ecliptic + Longitude and the Sun's is the greatest and the object is to the west of + the Sun and is visible in the morning sky. This can only occur for + Mercury or Venus.The positive difference between the object's Apparent Ecliptic + Longitude and the Sun's in degrees when the event occurs.
GreatestWesternElongationInRAThe instant when the difference in the object's Apparent Right + Ascension and the Sun's is the greatest and the object is to the west of + the Sun and is visible in the morning sky. This can only occur for + Mercury or Venus.The positive difference between the object's Apparent Right + Ascension and the Sun's in hours when the event occurs.
GreatestWesternElongationInAngularDistanceThe instant when the apparent elongation between the object and the + Sun is a maximum and the object is to the west of the Sun and is visible + in the morning sky. This can only occur for Mercury or Venus.The apparent elongation between the object and the Sun in degrees + when the event occurs.
GreatestEasternElongationInEclipticLongitudeThe instant when the difference in the object's Apparent Ecliptic + Longitude and the Sun's is a maximum and the object is to the east of + the Sun and is visible in the evening sky. This can only occur for + Mercury or Venus.The positive difference between the object's Apparent Ecliptic + Longitude and the Sun's in degrees when the event occurs.
GreatestEasternElongationInRAThe instant when the difference in the object's Apparent Right + Ascension and the Sun's is a maximum and the object is to the east of + the Sun and is visible in the evening sky. This can only occur for + Mercury or Venus.The positive difference between the object's Apparent Right + Ascension and the Sun's in hours when the event occurs.
GreatestEasternElongationInAngularDistanceThe instant when the apparent elongation between the object and the + Sun's is a maximum and the object is to the east of the Sun and is + visible in the evening sky. This can only occur for Mercury or Venus.The apparent elongation between the object and the Sun in degrees + when the event occurs.
OppositionInEclipticLongitudeThe instant when the difference between the object's Apparent + Ecliptic Longitude and the Sun's is 180 degrees. This can only occur for + Mars to Neptune.By definition the value 180.
OppositionInRAThe instant when the difference between the object's apparent Right + Ascension and the Sun's is 12 hours. This can only occur for Mars to + Neptune.By definition the value 12.
OppositionInAngularDistanceThe instant when the object's apparent elongation from the Sun is a + maximum. This can only occur for Mars to Neptune.The apparent elongation between the object and the Sun in degrees + when the event occurs. Will be quite close to 180 degrees.
ConjunctionInEclipticLongitudeThe instant when the difference between the object's Apparent + Ecliptic Longitude and the Sun's is 0 degrees. This can only occur for + Mars to Neptune.By definition the value 0.
ConjunctionInRAThe instant when the difference between the object's Apparent Right + Ascension and the Sun's is 0 hours. This can only occur for Mars to + Neptune.By definition the value 0.
ConjunctionInAngularDistanceThe instant when the object's apparent elongation from the Sun is a + minimum. This can only occur for Mars to Neptune.The apparent elongation between the object and the Sun in degrees + when the event occurs.
Station1InEclipticLongitudeThe instant when the object starts to move westward (retrograde) in + Ecliptic Longitude. This can only occur for Mars to Neptune.The Apparent Ecliptic Longitude of the object in degrees when the + event occurs.
Station1InRAThe instant when the object starts to move westward (retrograde) in + Right Ascension. This can only occur for Mars to Neptune.The Apparent Right Ascension of the object in hours when the event + occurs.
Station2InEclipticLongitudeThe instant when the object resumes eastward (prograde) motion in + Ecliptic Longitude. This can only occur for Mars to Neptune.The Apparent Ecliptic Longitude of the object in degrees when the + event occurs.
Station2InRAThe instant when the object resumes eastward (prograde) motion in + Right Ascension. This can only occur for Mars to Neptune.The Apparent Right Ascension of the object in hours when the event + occurs.
WesternQuadratureInEclipticLongitudeThe instant when the difference between the object's Apparent + Ecliptic Longitude and the Sun's is 90 degrees and the object is to the + west of the Sun and is visible in the morning sky. This can only occur + for Mars to Neptune.By definition the value 90.
WesternQuadratureInRAThe instant when the difference between the object's Apparent Right + Ascension and the Sun's is 6 hours and the object is to the west of the + Sun and is visible in the morning sky. This can only occur for Mars to + Neptune.By definition the value 6.
WesternQuadratureInAngularDistanceThe instant when the objects's apparent elongation from the Sun is + 90 degrees and the object is to the west of the Sun and is visible in + the morning sky. This can only occur for Mars to Neptune.By definition the value 90.
EasternQuadratureInEclipticLongitudeThe instant when the difference between the object's Apparent + Ecliptic Longitude and the Sun's is 90 degrees and the object is to the + east of the Sun and is visible in the evening sky. This can only occur + for Mars to Neptune.By definition the value 90.
EasternQuadratureInRAThe instant when the difference between the object's Apparent Right + Ascension and the Sun's is 6 hours and the object is to the east of the + Sun and is visible in the evening sky. This can only occur for Mars to + Neptune.By definition the value 6.
EasternQuadratureInAngularDistanceThe instant when the objects's apparent elongation from the Sun is + 90 degrees and the object is to the east of the Sun and is visible in + the evening sky. This can only occur for Mars to Neptune.By definition the value 90.
+

 

+

 

+

CAAPlanetPerihelionAphelion

+

This class provides for the calculation of the time when a planet is in perihelion +or in aphelion. This refers to Chapter 38 in the book.

+

 

+

Functions this class provides include:

+

MercuryK

+

Mercury

+

VenusK

+

Venus

+

EarthK

+

EarthPerihelion

+

EarthAphelion

+

MarsK

+

Mars

+

JupiterK

+

Jupiter

+

SaturnK

+

Saturn

+

UranusK

+

Uranus

+

NeptuneK

+

Neptune

+

 

+

CAAPlanetPerihelionAphelion::MercuryK

+

static double MercuryK(double Year)

+

Return Value

+

Returns the approximate value of K required by +CAAPlanetPerihelionAphelion::Mercury +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Mercury

+

static double Mercury(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::VenusK

+

static double VenusK(double Year)

+

Return Value

+

Returns the approximate value of K required by CAAPlanetPerihelionAphelion::Venus +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Venus

+

static double Venus(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::EarthK

+

static double EarthK(double Year)

+

Return Value

+

Returns the approximate value of K required by +CAAPlanetPerihelionAphelion::EarthPerihelion +& CAAPlanetPerihelionAphelion::EarthAphehelion +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::EarthPerihelion

+

static double EarthPerihelion(double k, +bool bBarycentric = false)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion for. This K value must be an +integer value. Any other value of K will give meaningless values.

+

bBarycentric  If true, the calculation is for the barycenter of the +Earth - Moon system, false implies the Earth itself.

+

 

+

CAAPlanetPerihelionAphelion::EarthAphelion

+

static double EarthAphelion(double k, bool bBarycentric += false)

+

Return Value

+

Returns the date in Dynamical time when the specified Aphelion occurs.

+

Parameters

+

k The K value to calculate the Aphelion for. This K value must be an +integer value + 0.5. Any other value of K will give meaningless values.

+

bBarycentric  If true, the calculation is for the barycenter of the +Earth - Moon system, false implies the Earth itself

+

 

+

CAAPlanetPerihelionAphelion::MarsK

+

static double MarsK(double Year)

+

Return Value

+

Returns the approximate value of K required by CAAPlanetPerihelionAphelion::Mars +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Mars

+

static double Mars(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::JupiterK

+

static double JupiterK(double Year)

+

Return Value

+

Returns the approximate value of K required by +CAAPlanetPerihelionAphelion::Jupiter +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Jupiter

+

static double Jupiter(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs. +This K value must be an integer value for Perihelion or an integer value + 0.5 +for Aphelion. Any other value of K will give meaningless values.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::SaturnK

+

static double SaturnK(double Year)

+

Return Value

+

Returns the approximate value of K required by CAAPlanetPerihelionAphelion::Saturn +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Saturn

+

static double Saturn(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::UranusK

+

static double UranusK(double Year)

+

Return Value

+

Returns the approximate value of K required by CAAPlanetPerihelionAphelion::Uranus +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Uranus

+

static double Uranus(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

CAAPlanetPerihelionAphelion::NeptuneK

+

static double NeptuneK(double Year)

+

Return Value

+

Returns the approximate value of K required by +CAAPlanetPerihelionAphelion::Neptune +for calculation of the dates of Perihelion or Aphelion.

+

Parameters

+

Year The Year including decimals to calculate the K value for.

+

Remarks

+

Please note that the return value from this method must be rounded by client code before calling other methods in this class with this K +value. Prior to v2.26 of AA+, +this method would return the K value already rounded. This change was made to +make this method's behavior consistent with all the other methods in the AA+ +framework which return so called "K" values.

+

 

+

CAAPlanetPerihelionAphelion::Neptune

+

static double NeptunePerihelion(double k)

+

Return Value

+

Returns the date in Dynamical time when the specified Perihelion or Aphelion occurs.

+

Parameters

+

k The K value to calculate the Perihelion or Aphelion for. This K +value must be an integer value for Perihelion or an integer value + 0.5 for +Aphelion. Any other value of K will give meaningless values.

+

 

+

 

+

CAAPlanetPerihelionAphelion2

+

This class uses interpolation to calculate the same details as those provided with the existing +CAAPlanetPerihelionAphelion class.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAAPlanetPerihelionAphelion2::Calculate

+

static std::vector<CAAPlanetPerihelionAphelionDetails2> Calculate(double +StartJD, double EndJD, Object object, double +StepInterval = 0.007, bool +bHighPrecision = false)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Perihelion or Aphelion.

+

JD The date in Dynamical time on which the event occurs.

+

Value this will be the +distance of the object in AU at time JD.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

Object The object type you want to calculate for. This is an enum class of +type Object inside the CAAPlanetPerihelionAphelionDetails2 class and can be MERCURY, +VENUS, EARTH, MARS, JUPITER, SATURN, URANUS, NEPTUNE or PLUTO.

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

Notes

+

As mentioned in Meeus's book on page 271, care should be taken for the case +of Neptune. This planet has a slow motion and a small orbital eccentricity. On +the other hand, the Sun is oscillating around the barycenter of the solar +system, mainly due to the actions of Jupiter and Saturn. Consequently, the +distance of Neptune to the Sun (not to the barycenter of the solar system) can +reach a double maximum or minimum. These double values will be reported by this +class as it looks for simple extreme values for the radius vector of the planet. +These additional extreme values have been called apheloid and periheloid by Jean +Meeus in the book.

+

 

+

 

+

CAAPluto

+

This class provides for calculation of the heliocentric position of Pluto. This +refers to Chapter 37 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAPluto::EclipticLongitude

+

static double EclipticLongitude(double JD)

+

Return Value

+

the ecliptic longitude in degrees referred to the standard equinox J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAPluto::EclipticLatitude

+

static double EclipticLatitude(double JD)

+

Return Value

+

the ecliptic latitude in degrees referred to the standard equinox J2000.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAPluto::RadiusVector

+

static double RadiusVector(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAPrecession

+

This class provides for the calculation of the slow drift that the direction +of the rotational axis of the Earth undergoes over time. This refers to Chapter +21 in the book.

+

 

+

Functions this class provides include:

+

PrecessEquatorial

+

PrecessEquatorialFK4

+

PrecessEcliptic

+

EquatorialPMToEcliptic

+

AdjustPositionUsingUniformProperMotion

+

AdjustPositionUsingMotionInSpace

+

 

+

CAAPrecession::PrecessEquatorial

+

static CAA2DCoordinate PrecessEquatorial(double Alpha, +double Delta, double JD0, double +JD)

+

Return Value

+

Returns the precessed equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the right ascension as an hour angle and the +y value corresponds to the declination in degrees.

+

Parameters

+

Alpha The right ascension in hours of the object at time JD0.

+

Delta The declination in degrees of the object at time JD0.

+

JD0 The date in Dynamical time corresponding to the initial epoch.

+

JD The date in Dynamical time corresponding to the final epoch.

+

 

+

CAAPrecession::PrecessEquatorialFK4

+

static CAA2DCoordinate PrecessEquatorialFK4(double Alpha, +double Delta, double JD0, double +JD)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the equatorial right ascension in the FK5 +system as an hour angle +and the y value corresponds to the declination in the FK5 system in degrees.

+

Parameters

+

Alpha The right ascension in hours of the object at time JD in the +FK4 system.

+

Delta The declination in degrees of the object at time JD in the FK4 +system.

+

JD0 The date in Dynamical time corresponding to the initial epoch.

+

JD The date in Dynamical time corresponding to the final epoch.

+

 

+

CAAPrecession::PrecessEcliptic

+

static CAA2DCoordinate PrecessEcliptic(double Lambda, +double Beta, double JD0, double +JD)

+

Return Value

+

Returns the converted ecliptic coordinates in a CAA2DCoordinate class. The x +value in the class corresponds to the ecliptical longitude in degrees and the y +value corresponds to the ecliptical latitude in degrees.

+

Parameters

+

Lambda The ecliptical longitude in degrees.

+

Beta The ecliptical latitude of the star in degrees.

+

JD0 The date in Dynamical time corresponding to the initial epoch.

+

JD The date in Dynamical time corresponding to the final epoch.

+

 

+

CAAPrecession::EquatorialPMToEcliptic

+

static CAA2DCoordinate EquatorialPMToEcliptic(double Alpha, +double Delta, double Beta, double +PMAlpha, double PMDelta, double +Epsilon)

+

Return Value

+

Returns the converted ecliptic proper motions in a CAA2DCoordinate class. The +x value in the class corresponds to the proper motion in ecliptical longitude in +arc seconds per year and the y value corresponds to the proper motion in ecliptical +latitude in arc seconds per year.

+

Parameters

+

Alpha The right ascension expressed as an hour angle.

+

Delta The declination in degrees.

+

Beta The ecliptical latitude of the star in degrees.

+

PMAlpha The proper motion in right ascension in arc seconds per year. +

+

PMDelta The proper motion of the declination in arc seconds per year.

+

Epsilon The obliquity of the ecliptic in degrees.

+

 

+

CAAPrecession::AdjustPositionUsingUniformProperMotion

+

static CAA2DCoordinate AdjustPositionUsingUniformProperMotion(double +t, double Alpha, double Delta, +double PMAlpha, double PMDelta)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the right ascension expressed as an hour angle +and the y value corresponds to the declination in degrees.

+

Parameters

+

t The number of years from the starting epoch, negative in the past and +positive in the future.

+

Alpha The right ascension expressed as an hour angle.

+

Delta The declination in degrees.

+

PMAlpha The proper motion in right ascension in arc seconds per year. +

+

PMDelta The proper motion in declination in arc seconds per year.

+

 

+

CAAPrecession::AdjustPositionUsingMotionInSpace

+

static CAA2DCoordinate AdjustPositionUsingMotionInSpace(double +r, double deltar, double t, +double Alpha, double Delta, double +PMAlpha, double PMDelta)

+

Return Value

+

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The +x value in the class corresponds to the right ascension expressed as an hour angle +and the y value corresponds to the declination in degrees.

+

Parameters

+

r The stars distance in parsecs.

+

deltar The radial velocity  in km/s.

+

t The number of years from the starting epoch, negative in the past and +positive in the future.

+

Alpha The right ascension expression as an hour angle.

+

Delta The declination in degrees.

+

PMAlpha The proper motion in right ascension in arc seconds per year. +

+

PMDelta The proper motion in declination in arc seconds per year.

+

 

+

 

+

CAARefraction

+

This class provides for conversion between apparent and true altitude above the +horizon. This refers to Chapter 16 in the book.

+

 

+

Functions this class provides include:

+

RefractionFromApparent

+

RefractionFromTrue

+

 

+

CAARefraction::RefractionFromApparent

+

static double RefractionFromApparent(double Altitude, +double Pressure = 1010, double Temperature += 10)

+

Return Value

+

the refraction in degrees.

+

Parameters

+

Altitude The apparent altitude in degrees.

+

Pressure The atmospheric pressure in millibars

+

Temperature The air temperature in degrees Celsius.

+

 

+

CAARefraction::RefractionFromTrue

+

static double RefractionFromTrue(double Altitude, +double Pressure = 1010, double Temperature += 10)

+

Return Value

+

the refraction in degrees.

+

Parameters

+

Altitude The true altitude in degrees.

+

Pressure The atmospheric pressure in millibars

+

Temperature The air temperature in degrees Celsius.

+

 

+

 

+

CAARiseTransitSet +(Deprecated)

+

This class provides for calculation of the time of rise, transit and set of a +celestial body. This refers to Chapter 15 in the book. Please note that this +class is now considered deprecated as of v2.02 of AA+ and may be removed in a +future release of the library. Please use the +CAARiseTransitSet2 class instead.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAARiseTransitSet::Calculate

+

static CAARiseTransitSetDetails Calculate(double JD, double +Alpha1, double Delta1, double Alpha2, +double Delta2, double Alpha3, double Delta3, +double Longitude, double Latitude, double h0)

+

Return Value

+

A class containing

+

bRiseValid true if the object actually rises for the specified date.

+

Rise The time in decimal hours when the object rises

+

bTransitValid true if the object transits for the specified date.

+

bTransitAboveHorizon true if the object transits above the horizon, false +indicates it transits below the horizon.

+

Transit The time in hours when the object transits

+

bSetValid true if the object actually sets for the specified date.

+

Set The time in hours when the object sets

+

Parameters

+

JD The Julian Day corresponding to that midnight Dynamical Time for the +date when you want to perform the calculation.

+

Alpha1 The right ascension in hours of the object at time JD - 1 day

+

Delta1 The declination in degrees of the object at time JD - 1 day

+

Alpha2 The right ascension in hours of the object at time JD

+

Delta2 The declination in degrees of the object at time JD

+

Alpha3 The right ascension in hours of the object at time JD + 1 day

+

Delta3 The declination in degrees of the object at time JD + 1 day

+

Longitude The geographic longitude of the observer in degrees +(Positive west, negative east from Greenwich)

+

Latitude The geographic latitude of the observer in degrees.

+

h0 The "standard" altitude in degrees i.e. the geometric altitude +of the centre of the body at the time of the apparent rising or setting. For stars +and planets, you would normally use -0.5667, for the Sun you would use -0.8333 and +for the moon you would use 0.7275 * PI - 0.5666 where PI is the Moon's horizontal +parallax in degrees (If no great accuracy is required, the mean value of h0 = 0.125 +can be used).

+

Remarks

+

Bear in mind that the times calculated for the phenomena are for the same UTC +date. This means that when you are in a non GMT timezone, the calculated local times +can be for the previous or next day. Please bear this issue in mind if you are generating +an ephemeris of rise, transit and set times for a celestial object for a specific +range of local dates. In this case, you will need to rerun the calculation for the +previous or next UTC date if the calculated local date is not the same as the required +local date.

+

Another wrinkle to how this method operates is that the same event can occur +twice in the same day, even though this method does not provide a method to allow +this to be easily obtained. For example, imagine you are located in the timezone +PDT which is 4 hours behind GMT and you are calculating the times of sunset during +the month of August, when PDT would be in effect. During this period, the length +of the day is gradually reducing and the time of sunrise is getting earlier every +day. Combined with the fact that the calculated time of Sunset for this period is around +20:00 local time or midnight UTC, you get this interesting effect where Sunrise +occurs just around midnight UTC and then again just before midnight the following +day! If you use the following code:

+
+
int main()
+
{
+
  CAADate CalcDate(2009, 8, 8, true);
+
  double JD = CalcDate.Julian();
+
  JD = CalcDate.Julian() + 0.010; //to get the + effect to be demonstrated
+
  for (int + i = 0; i<5; i++)
+
  {
+
    JD += 1.000;
+
    CAAEllipticalPlanetaryDetails SunDetails = CAAElliptical::Calculate(JD + - 1, CAAElliptical::SUN, false);
+
    double Alpha1 = SunDetails.ApparentGeocentricRA;
+
    double Delta1 = SunDetails.ApparentGeocentricDeclination;
+
    SunDetails = CAAElliptical::Calculate(JD, CAAElliptical::SUN, + false);
+
    double Alpha2 = SunDetails.ApparentGeocentricRA;
+
    double Delta2 = SunDetails.ApparentGeocentricDeclination;
+
    SunDetails = CAAElliptical::Calculate(JD + 1, CAAElliptical::SUN, + false);
+
    double Alpha3 = SunDetails.ApparentGeocentricRA;
+
    double Delta3 = SunDetails.ApparentGeocentricDeclination;
+
    CAARiseTransitSetDetails RiseTransitSetTime = CAARiseTransitSet::Calculate(JD, + Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, 74.73057, 39.275787, -0.8333);
+
    double rtsJD = (JD + (RiseTransitSetTime.Set + / 24.00));
+
    double lclJD = rtsJD - (4.00/24.00); + //Adjust for EDT -4 Hours
+
    CAADate SetDate(rtsJD,true);
+
    long setDay;
+
    long setMonth;
+
    long setYear;
+
    long setHours;
+
    long setMinuts;
+
    double setSec;
+
    SetDate.Get(setYear,setMonth, setDay, setHours, setMinuts, + setSec);
+
    printf("Sunset for %d/%d/%d + UTC occurs at %02d:%02d:%02d\n", static_cast<int>(setYear), static_cast<int>(setMonth), static_cast<int>(setDay), static_cast<int>(setHours), static_cast<int>(setMinuts), static_cast<int>(setSec));
+
    CAADate SetLclDate(lclJD, true);
+
    long setlclDay;
+
    long setlclMonth;
+
    long setlclYear;
+
    long setlclHours;
+
    long setlclMinuts;
+
    double setlclSec;
+
    SetLclDate.Get(setlclYear,setlclMonth, setlclDay, setlclHours, + setlclMinuts, setlclSec);
+
    printf("Sunset for %d/%d/%d + PDT occurs at %02d:%02d:%02d\n\n", static_cast<int>(setlclYear), static_cast<int>(setlclMonth), static_cast<int>(setlclDay), + static_cast<int>(setlclHours), static_cast<int>(setlclMinuts), static_cast<int>(setlclSec));
+
  }
+
  return 0;
+
}
+
+

You will observe the following output, which demonstrates this effect:

+
+
Sunset for 2009/8/10 UTC occurs at 00:01:40
Sunset for 2009/8/9 PDT + occurs at 20:01:40

Sunset for 2009/8/11 UTC occurs at 00:00:26
+ Sunset for 2009/8/10 PDT occurs at 20:00:26

Sunset for 2009/8/11 UTC occurs at 23:59:11
+ Sunset for 2009/8/11 PDT occurs at 19:59:11

Sunset for 2009/8/12 UTC + occurs at 23:57:55
Sunset for 2009/8/12 PDT occurs at 19:57:55

+ Sunset for 2009/8/13 UTC occurs at 23:56:38
Sunset for 2009/8/13 PDT + occurs at 19:56:38
+
+

Your client code which uses this method will need to handle this situation itself.

+

 

+

 

+

CAARiseTransitSet2

+

This class provides for revised algorithms to address +issues with the existing CAARiseTransitSet +class which as of v2.02 is now considered deprecated. This class and its methods are +designed as an improvement on the CAARiseTransiteSet class algorithms as provided by +in the book. In +Q3 2019, some users of AA+ reported that if you used the existing class with a +location of either the North or South Poles, that it would fail to find the +single sun rise and set times during a whole year. +At the poles of course there is just one sun rise and one sun set per year. Each +of these events occur quite close to the Equinoxes. Following a private email conversation with Jean Meeus, he confirmed that the +CAARiseTransitSet algorithms as presented in the book fail under certain +circumstances. In fact the issues which have been reported with this class over +the years are almost all a result of the deficiencies of Meeus's algorithms for calculating rise / transit and set. This class is a ground up rewrite +with a new step based interpolation algorithm. They will work for any Dynamical Time date range and as such will handle +the issue of looking for events when referred to a local time zone day range. It +will also detect all types of events during the requested search interval. It +will also return northern transits in addition to southern transits and can +return multiple occurrences of the same type of event in a 24 hour interval. The +code has also been extensively tested for various locations such as the North +Pole, South Pole etc. and spot checked against other sources. This class will +also return the altitude of transit events and the bearing / azimuth at which +rise and set events occur.

+

 

+

Functions this class provides include:

+

Calculate

+

CalculateMoon

+

CalculateStationary

+

 

+

CAARiseTransitSet2::Calculate

+

static std::vector<CAARiseTransitSetDetails2> Calculate(double +StartJD, double EndJD, +Object object, double Longitude, +double Latitude, double h0, +double +StepInterval = 0.007, bool +bHighPrecision = false)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Rise, Set, SouthernTransit, NorthernTransit, +CivilDusk, NauticalDusk, AstronomicalDusk, +AstronomicalDawn, NauticalDawn or CivilDawn.

+

JD The date in Dynamical time on which the event occurs.

+

Bearing Valid only for Rise, Set or Twilight events, this will be the +azimuth location of the event in degrees west of south.

+

GeometricAltitude Valid only for SourthernTransit or NorthernTransit +events, this will be the geometric altitude in degrees of the center of the +object not including correction for refraction for the event.

+

bAboveHorizon Valid only for SourthernTransit or NorthernTransit +events, this will be true if the transit is visible i.e. the apparent altitude +of the top of the object (including the standard "altitude" refraction +correction) is above the horizon.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

Object The object type you want to calculate for. This is an enum class of +type Object inside the CAARiseTransitSet2 class and can be SUN, MOON, MERCURY, +VENUS, MARS, JUPITER, SATURN, URANUS, or NEPTUNE.

+

Longitude The geographic longitude of the observer in degrees +(Positive west, negative east from Greenwich).

+

Latitude The geographic latitude of the observer in degrees.

+

h0 The "standard" altitude in degrees i.e. the geometric altitude +of the center of the body at the time of the apparent rising or setting. For stars +and planets, you would normally use -0.5667, for the Sun you would use -0.8333 and +for the Moon you would use -0.825. The value to use for the Moon should be -0.825 and not +0.125 as described in Meeus's book. This is because this method already applies +parallax corrections for the Moon when converting the geocentric position of the +Moon to topocentric coordinates. If you would like to take atmospheric pressure +& temperature into +account for the amount of refraction to use for this parameter, you can use the +CAARefraction class to calculate a custom value. If +you would like to take the altitude of the observer into account for calculating +Sun rise and Sun sets (such as an observer flying in a plane), then you could use the +formulae: double H0 = -0.8333 - +CAACoordinateTransformation::RadiansToDegrees(acos(6371008 / (6371008 + +Height))) where Height is the altitude above sea-level in meters (assuming you +also do not want to account for variable temperature and pressure). For the moon +you could use: double H0 = -0.825 - +CAACoordinateTransformation::RadiansToDegrees(acos(6371008 / (6371008 + +Height))).

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy for calculating +rise / transit and set times.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book. This parameter is not used if +you specify Moon for the "object" parameter. This parameter is only used when +calculating events for the Sun or planets. This method always uses the truncated +Meeus ELP2000 theory when calculating events for the Moon. If you would +like to specify the theory used to calculate the position of the Moon to find +events, you can use the +CalculateMoon method.

+

Remarks

+

Set is defined when the apparent top edge of the object is exacly on the +horizon and the altitude of the object is decreasing.

+

Rise is defined when the apparent top edge of the object is exacly on the +horizon and the altitude of the object is increasing.

+

Civil Dusk is defined when the geometric center of the Sun is 6 degress below +the horizon and the altitude of the Sun is decreasing (i.e. in the local evening +time after the Sun has set).

+

Nautical Dusk is defined when the geometric center of the Sun is 12 degress +below the horizon and the altitude of the Sun is decreasing (i.e. in the local +evening time after the Sun has set).

+

Astronomical Dusk is defined when the geometric center of the Sun is 18 +degress below the horizon and the altitude of the Sun is decreasing (i.e. in the +local evening time after the Sun has set).

+

Civil Dawn is defined when the geometric center of the Sun is 6 degress below +the horizon and the altitude of the Sun is increasing (i.e. in the local morning +time before the Sun has risen).

+

Nautical Dawn is defined when the geometric center of the Sun is 12 degress +below the horizon and the altitude of the Sun is increasing (i.e. in the local morning +time before the Sun has risen).

+

Astronomical Dawn is defined when the geometric center of the Sun is 18 +degress below the horizon and the altitude of the Sun is increasing (i.e. in the +local morning time before the Sun has risen).

+

Please note that this method calculates the times of dusk and dawn for an +observer at sea level and does not take atmospheric refraction or +altitude of the observer into account. This is unlike the calculation of rise +and set which does take this into account due to the presence and usage of the h0 +parameter.

+

 

+

CAARiseTransitSet2::CalculateMoon

+

static std::vector<CAARiseTransitSetDetails2> CalculateMoon(double +StartJD, double EndJD, double +Longitude, double Latitude, double +RefractionAtHorizon += -0.5667, double StepInterval += 0.007, MoonAlgorithm +algorithm = MoonAlgorithm::MeeusTruncated)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Rise, Set, SouthernTransit or NorthernTransit.

+

JD The date in Dynamical time on which the event occurs.

+

Bearing Valid only for Rise or Set events, this will be the +azimuth location of the event in degrees west of south.

+

GeometricAltitude Valid only for SourthernTransit or NorthernTransit +events, this will be the geometric altitude in degrees of the center of the Moon +not including correction for refraction for the event.

+

bAboveHorizon Valid only for SourthernTransit or NorthernTransit +events, this will be true if the transit is visible i.e. the apparent altitude +of the top of the Moon (including the standard "altitude" refraction correction) +is above the horizon.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

Longitude The geographic longitude of the observer in degrees +(Positive west, negative east from Greenwich).

+

Latitude The geographic latitude of the observer in degrees.

+

RefractionAtHorizon The amount of refraction in degrees to use at +the horizon. The default value of -0.5667 corresponds to the standard "altitude" +value for a star as used in the Calculate method. If you would like to take atmospheric pressure +& temperature into +account for the amount of refraction to use for this parameter, you can use the +CAARefraction class to calculate a custom value. If +you would like to take the altitude of the observer into account for calculating +Moon rise and Moon sets (such as an observer flying in a plane), then you could use the +formulae: double RefractionAtHorizon = -0.5667 - +CAACoordinateTransformation::RadiansToDegrees(acos(6371008 / (6371008 + +Height))) where Height is the altitude above sea-level in meters (assuming you +also do not want to account for variable temperature and pressure).

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy for calculating +rise / transit and set times.

+

Algorithm An enum class representing the algorithm to use for the calculation. Can be +MeeusTruncated which represents the truncated ELP2000 algorithm presented in the +book, ELP2000 which uses the full ELP2000 algorithm, ELPMPP02Nominal which uses +the ELPMPP02 Nominal fit, ELPMPP02LLR which uses the ELPMPP02 Lunar Laser +Ranging fit, ELPMPP02DE405 which uses the ELPMPP02 DE405 fit and ELPMPP02DE406 +which uses the ELPMPP02 DE406 fit.

+

Remarks

+

This version of the algorithm provides a higher precision method to calculate the +rise / transit and set times of the Moon compared to the +Calculate method. This is necessary because the "standard" altitude +value for the Moon is not constant and depends significantly on the Moon's +distance / parallax as well as the "RefractionAtHorizon" parameter. Internally this method +calculates the apparent topocentric semidiameter of the moon in degrees and +subtracts that value from the RefractionAtHorizon parameter to arrive at the "standard" +altitude used to calculate events. In addition this method allows you to specify +the theory to use to calculate the position of the Moon.

+

 

+

CAARiseTransitSet2::CalculateStationary

+

static std::vector<CAARiseTransitSetDetails2> CalculateMoon(double +StartJD, double EndJD, double +Alpha, double Delta, double +Longitude, double Latitude, double +h0 = -0.5667, double +StepInterval = 0.007)

+

Return Value

+

A standard C++ array containing a class which itself contains:

+

type An enum class instance which represents the type of event +found. This can be Rise, Set, SouthernTransit or NorthernTransit.

+

JD The date in Dynamical time on which the event occurs.

+

Bearing Valid only for Rise or Set events, this will be the +azimuth location of the event in degrees west of south.

+

GeometricAltitude Valid only for SourthernTransit or NorthernTransit +events, this will be the geometric altitude in degrees of the center of the +object not including correction for refraction for the event.

+

bAboveHorizon Valid only for SourthernTransit or NorthernTransit +events, this will be true if the transit is visible i.e. the apparent altitude +of the top of the object (including the standard "altitude" refraction +correction) is above the horizon.

+

Parameters

+

StartJD The Julian Day corresponding to the Dynamical Time for the +date when you want to start the calculation for.

+

EndJD The Julian Day corresponding to the Dynamical Time for the +date when you want to end the calculation for.

+

Alpha The right ascension of the object expressed as decimal hours.

+

Delta The declination of the object in degrees.

+

Longitude The geographic longitude of the observer in degrees +(Positive west, negative east from Greenwich).

+

Latitude The geographic latitude of the observer in degrees.

+

h0 The "standard" altitude in degrees i.e. the geometric altitude +of the center of the body at the time of the apparent rising or setting. This +defaults to -0.5667 which is appropriate for a star. If you would like to take atmospheric pressure +& temperature into +account for the amount of refraction to use for this parameter, you can use the +CAARefraction class to calculate a custom value. If +you would like to take the altitude of the observer into account for calculating +rise and sets (such as an observer flying in a plane), then you could use the +formulae: double h0 = -0.5667 - +CAACoordinateTransformation::RadiansToDegrees(acos(6371008 / (6371008 + +Height))) where Height is the altitude above sea-level in meters (assuming you +also do not want to account for variable temperature and pressure).

+

StepInterval The step interval in fractions of days to do the +calculation for. The default value of 0.007 corresponds to roughly 10 minutes +which is a reasonable tradeoff between performance and accuracy for calculating +rise / transit and set times.

+

Remarks

+

This version of the algorithm allows you to calculate the rise / transit and +set times of an object which is stationary in the sky with fixed Right Ascension +and Declination e.g. a star.

+

 

+

 

+

CAASaturn

+

This class provides for calculation of the heliocentric position of Saturn. This +refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAASaturn::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASaturn::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASaturn::RadiusVector

+

static double RadiusVector(double JD, +bool bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAASaturnMoons

+

This class provides for calculation of positions of the principle moons of Saturn. +This refers to Chapter 46 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAASaturnMoons::Calculate

+

static CAASaturnMoonsDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class which itself contains a class for each moon. This contained class itself +contains

+

TrueRectangularCoordinates The true 3D rectangular coordinates of the +moon.

+

ApparentRectangularCoordinates The apparent 3D rectangular coordinates +of the moon.

+

bInTransit A Boolean which if true means that the moon is in front of +Saturn as viewed from the Earth otherwise false.

+

bInOccultation A Boolean which if true means that the moon is behind Saturn +as viewed from the Earth otherwise false.

+

bInEclipse A Boolean which if true means that the moon is behind Saturn +as viewed from the Sun otherwise false.

+

bInShadowTransit A Boolean which if true means that the moon is in front +of Saturn as viewed from the Earth otherwise false.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAASaturnRings

+

This class provides for calculation of various parameters related to the Rings +of Saturn. This refers to Chapter 45 in the book.

+

 

+

Functions this class provides include:

+

Calculate

+

 

+

CAASaturnRings::Calculate

+

static CAASaturnRingDetails Calculate(double JD, +bool bHighPrecision)

+

Return Value

+

A class containing

+

B The Saturnicentric latitude in degrees of the Earth referred to the +plane of the ring.

+

Bdash The Saturnicentric latitude in degrees of the Sun referred to the +plane of the ring.

+

P The geocentric position angle of the Northern semi minor axis of the +apparent ellipse of the ring.

+

a The major axis of the outer edge of the outer ring in arc seconds.

+

b The minor axis of the outer edge of the outer ring in arc seconds.

+

DeltaU The difference in degrees between the Saturnicentric longitudes +of the Sun and the Earth, measured in the plane of the ring. This quantity is required +for the calculation of Saturn's magnitude.

+

U1 The Saturnicentric longitude of the Sun in degrees.

+

U2 The Saturnicentic longitude of the Earth in degrees.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAASidereal

+

This class provides for the calculation of sidereal time. This refers to Chapter +12 in the book.

+

 

+

Functions this class provides include:

+

MeanGreenwichSiderealTime

+

ApparentGreenwichSiderealTime

+

 

+

CAASidereal::MeanGreenwichSiderealTime

+

static double MeanGreenwichSiderealTime(double JD)

+

Return Value

+

The Mean Greenwich Sidereal Time, that is, the Greenwich hour angle of the mean +vernal point (the intersection of the ecliptic of the date with the mean equator +of the date), expressed in hours.

+

Parameters

+

JD The Julian Day in Universal time to calculate for.

+

 

+

CAASidereal::ApparentGreenwichSiderealTime

+

static double ApparentGreenwichSiderealTime(double JD)

+

Return Value

+

The Apparent Greenwich Sidereal Time, that is, the Greenwich hour angle of the +true vernal equinox, expressed in hours.

+

Parameters

+

JD The Julian Day in Universal time to calculate for.

+

 

+

 

+

CAAStellarMagnitudes

+

This class provides for calculation of the combined magnitude of two stars. This +refers to Chapter 56 in the book.

+

 

+

Functions this class provides include:

+

CombinedMagnitude

+

CombinedMagnitude

+

BrightnessRatio

+

MagnitudeDifference

+

 

+

CAAStellarMagnitudes::CombinedMagnitude

+

static double CombinedMagnitude(double m1, double +m2)

+

Return Value

+

the combined magnitude of two stars.

+

Parameters

+

m1 The magnitude of the first star.

+

m2  The magnitude of the second star.

+

 

+

CAAStellarMagnitudes::CombinedMagnitude

+

static double CombinedMagnitude(int Magnitudes, +const double* pMagnitudes)

+

Return Value

+

the combined magnitude of more that two stars.

+

Parameters

+

Magnitudes The number of magnitudes to combine from "pMagnitudes".

+

magnitudes  The sum of all the star magnitudes.

+

 

+

CAAStellarMagnitudes::BrightnessRatio

+

static double BrightnessRatio(double m1, double +m2);

+

Return Value

+

the ratio of the apparent luminosities of the two stars.

+

Parameters

+

m1 The magnitude of the first star.

+

m2  The magnitude of the second star.

+

 

+

CAAStellarMagnitudes::MagnitudeDifference

+

static double MagnitudeDifference(double brightnessRatio)

+

Return Value

+

the difference in magnitude between the stars.

+

Parameters

+

brightnessRatio The ratio of the apparent luminosities of the two stars.

+

 

+

 

+

CAASun

+

This class provides for calculation of the geocentric position of the Sun. This +refers to Chapter 25 & 26 in the book.

+

 

+

Functions this class provides include:

+

GeometricEclipticLongitude

+

GeometricEclipticLatitude

+

GeometricFK5EclipticLongitude

+

GeometricFK5EclipticLatitude

+

ApparentEclipticLongitude

+

ApparentEclipticLatitude

+

EquatorialRectangularCoordinatesMeanEquinox

+

EclipticRectangularCoordinatesJ2000

+

EquatorialRectangularCoordinatesJ2000

+

EquatorialRectangularCoordinatesB1950

+

EquatorialRectangularCoordinatesAnyEquinox

+

+VariationGeometricEclipticLongitude

+

 

+

CAASun::GeometricEclipticLongitude

+

static double GeometricEclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::GeometricEclipticLatitude

+

static double GeometricEclipticLatitude(double JD, + bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::GeometricFK5EclipticLongitude

+

static double GeometricFK5EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::GeometricFK5EclipticLatitude

+

static double GeometricFK5EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::ApparentEclipticLongitude

+

static double ApparentEclipticLongitude(double JD, + bool bHighPrecision)

+

Return Value

+

the apparent ecliptic longitude in degrees referred to the mean dynamical ecliptic +and equinox of the date defined in theFK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::ApparentEclipticLatitude

+

static double ApparentEclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the apparent ecliptic latitude in degrees referred to the mean dynamical ecliptic +and equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::EquatorialRectangularCoordinatesMeanEquinox

+

static CAA3DCoordinate EquatorialRectangularCoordinatesMeanEquinox(double +JD, bool bHighPrecision)

+

Return Value

+

A class containing the equatorial 3D rectangular coordinates in astronomical +units referred to the mean dynamical ecliptic and equinox of the date defined in +the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::EclipticRectangularCoordinatesJ2000

+

static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double +JD, bool bHighPrecision)

+

Return Value

+

A class containing the ecliptic 3D rectangular coordinates in astronomical units +referred to the J2000 equinox defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::EquatorialRectangularCoordinatesJ2000

+

static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double +JD, bool bHighPrecision)

+

Return Value

+

A class containing the equatorial 3D rectangular coordinates in astronomical +units referred to the J2000 equinox defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::EquatorialRectangularCoordinatesB1950

+

static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double +JD, bool bHighPrecision)

+

Return Value

+

A class containing the equatorial 3D rectangular coordinates in astronomical +units referred to the B1950 equinox defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::EquatorialRectangularCoordinatesAnyEquinox

+

static CAA3DCoordinate EquatorialRectangularCoordinatesAnyEquinox(double +JD, double JDEquinox)

+

Return Value

+

A class containing the equatorial 3D rectangular coordinates in astronomical +units referred to the specified equinox defined in the FK5 theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

JDEquinox The date in Dynamical time specifying the equinox to use.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAASun::VariationGeometricEclipticLongitude

+

static double VariationGeometricEclipticLongitude(double +JD)

+

Return Value

+

The variation in ecliptic longitude in arcseconds per day of the Sun due to +aberation.

+

Parameters

+

JD The date in Dynamical time to calculate for. The value returned +by this method is used to convert the geometric ecliptic longitude of the Sun to +the apparent longitude. This refers to equation on page 168.

+

 

+

 

+

CAAUranus

+

This class provides for calculation of the heliocentric position of Uranus. This +refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAUranus::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAUranus::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool +bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAUranus::RadiusVector

+

static double RadiusVector(double JD, +bool +bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAVenus

+

This class provides for calculation of the heliocentric position of Venus. This +refers to Chapter 32 in the book.

+

 

+

Functions this class provides include:

+

EclipticLongitude

+

EclipticLatitude

+

RadiusVector

+

 

+

CAAVenus::EclipticLongitude

+

static double EclipticLongitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAVenus::EclipticLatitude

+

static double EclipticLatitude(double JD, +bool bHighPrecision)

+

Return Value

+

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and +equinox of the date defined in the VSOP theory.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

CAAVenus::RadiusVector

+

static double RadiusVector(double JD, +bool bHighPrecision)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

bHighPrecision If true then use the full VSOP87 theory instead of +the truncated version as provided in Meeus's book.

+

 

+

 

+

CAAVSOP2013

+

This class provides for calculation of the heliocentric elliptical orbital +elements and the heliocentric ecliptical and equatorial position and velocity of Mercury, Venus, the Earth-Moon Barycenter, +Mars, Jupiter, Saturn, Uranus, Neptune and the dwarf planet Pluto for the +equinox and ecliptic of J2000.0. Please refer to + +ftp.imcce.fr/pub/ephem/planets/vsop2013/ for further details. Please note +that unlike VSOP87, it does not provide for calculation of the Earth ifself and +only the Earth-Moon Barycenter and as such cannot be integrated directly into +other AA+ code which calculates the position of a specific planet from a +specific location on Earth. Instead this class could be used for implementing 3D +simulations of our solar system as a whole.

+

 

+

Functions this class provides include:

+

SetBinaryFilesDirectory

+

GetBinaryFilesDirectory

+

Calculate

+

CalculateOrbit

+

CalculateMeanMotion

+

OrbitToElements

+

Ecliptic2Equatorial

+

 

+

CAAVSOP2013::SetBinaryFilesDirectory

+

void SetBinaryFilesDirectory(const std::filesystem::path::value_type* +pszBinaryFilesDirectory)

+

Parameters

+

pszBinaryFilesDirectory The file system directory where the VSOP2013 +binary files are located specified as a C style string pointer.

+

Remarks

+

Because the lookup tables for the VSOP2013 theory are so large, the tables are +stored as binary files on the file system and read in as needed by the +CAAVSOP2013 class. +This is necessary as it was not possible to directly implement these lookup tables in the +AAVSOP2013 cpp module without any modern C++ compiler choking trying to compile +a massive cpp module. These binary files are written out by the +CAAVSOP2013ElementsFile and CAAVSOP2013EphemeridesFile helper classes also +included in the AAVSOP2013 cpp/h modules. The files generated by these two +classes are stored in big endian format irrespective of the +endian-ness of the machine on which they were generated. This makes these binary +files deployable to any machine architecture. The VSOP2013 ephemerides binary +files are "VSOP2013.M4000.bin", "VSOP2013.M2000.bin", "VSOP2013.M1000.bin", +"VSOP2013.P1000.bin", "VSOP2013.P2000.bin" and "VSOP2013.P4000.bin". Each of +these files are 128 MB (or 134,236,605 bytes) in size. These contain the same +data as the original 391 MB (or 410,654,243 bytes) text ephemerides files in the +VSOP2013 theory. The CAAVSOP2013EphemeridesFile class provides methods to read +the original VSOP2013 text ephemerides files and write the binary ephemerides +files used by CAAVSOP2013. These ephemerides binary files will need to be +shipped with your application if you are using +CAAVSOP2013::Calculate. The VSOP2013 elements binary files are "VSOP2013p1.bin", +"VSOP2013p2.bin", "VSOP2013p3.bin", "VSOP2013p4.bin", "VSOP2013p5.bin", +"VSOP2013p6.bin", "VSOP2013p7.bin", "VSOP2013p8.bin" +and "VSOP2013p9.bin". These +files range in size from 9MB for Pluto up to 28 MB for Saturn. The +CAAVSOP2013ElementsFile class provides methods to read the original VSOP2013 +text elements files and write the binary elements files used by CAAVSOP2013. +These elements binary files will need to be shipped with your application if you +are using CAAVSOP2013::CalculateOrbit. +Please note that the binary files used by CAAVSOP2013 are not the same layout as +the binary files mentioned in the VSOP2013 theory itself. The default location +for the binary files directory is "." or the current working directory for the +current process. For further +information about these two classes and / or to generate these binary files, +please see the sample code in AATest.cpp and the implementation of these two +classes in AAVSOP2013.cpp.

+

 

+

CAAVSOP2013::GetBinaryFilesDirectory

+

const std::filesystem::path::value_type* GetBinaryFilesDirectory() const

+

Return Value

+

the current directory where the VSOP2013 binary files are being read from by +this class instance specified as a const C style string pointer.

+

Remarks

+

This is the corollary method +to CAAVSOP2013::SetBinaryFilesDirectory.

+

 

+

CAAVSOP2013::Calculate

+

static CAAVSOP2013Position Calculate(Planet planet, double +JD)

+

Return Value

+

A class containing

+

X The heliocentric ecliptical X rectangular coordinate of the object +in astronomical units.

+

Y The heliocentric ecliptical Y rectangular coordinate of the object +in astronomical units.

+

Z The heliocentric ecliptical Z rectangular coordinate of the object +in astronomical units.

+

X_DASH The heliocentric ecliptical X velocity of the object in +astronomical units per day.

+

Y_DASH The heliocentric ecliptical Y velocity of the object in +astronomical units per day.

+

Z_DASH The heliocentric ecliptical Z velocity of the object in +astronomical units per day.

+

Parameters

+

planet An enum specifying which object the calculation +is to be carried out for.

+

JD The date in Dynamical time to calculate for.

+

Remarks

+

Please note that this method will load the VSOP2013 ephemerides binary files +on an as needed basis depending on the planet and time of the required +calculation. Internally this class will cache these tables to speed up +subsequent calculations in a protected member variable called "m_EphemerideFiles". The +loading code for these binary files has been carefully optimized to ensure that +on modern file systems this just in time loading of these tables should not take +any more than a second. If the JD value is outside of the allowable range for +the VSOP2013 theory or an invalid "planet" parameter value is specified, then a CAAVSOP2013Exception will be thrown by this method. +Also if an error occurs while loading a VSOP2013 binary file then a +CAAVSOP2013Exception will be thrown by this method.

+

 

+

CAAVSOP2013::CalculateOrbit

+

CAAVSOP2013Orbit CalculateOrbit(Planet planet, double +JD)

+

Return Value

+

A class containing

+

a The semi-major axis or the orbit in astronomical units.

+

lambda The mean longitude of the orbit in radians.

+

k The K term as defined for the elliptic elements in the VSOP2013 +theory. This is defined as k = e cos w where w is the perihelion longitude.

+

h The h term as defined for the elliptic elements in the VSOP2013 +theory. This is defined as h = e sin w where w is the perihelion longitude.

+

q The q term as defined for the elliptic elements in the VSOP2013 +theory. This is defined as q = sin(i/2) cos omega where i is the inclination and +omega is the longitude of the ascending node.

+

p The p term as defined for the elliptic elements in the VSOP2013 +theory. This is defined as q = sin(i/2) sin omega where i is the inclination and +omega is the longitude of the ascending node.

+

Parameters

+

planet An enum specifying which object the calculation +is to be carried out for.

+

JD The date in Dynamical time to calculate for.

+

Remarks

+

This method allows you to calculate the elliptical elements of the orbit of +an object as defined in the VSOP2013 theory. As with the Calculate method, this +method will load the VSOP2013 elements binary files on an as needed basis +depending on the planet of the required calculation. Internally this class will +cache these tables to speed up subsequent calculations in a protected member +variable called "m_ElementsFiles". The loading code for these binary files has been +carefully optimized to ensure that on modern file systems this just in time +loading of these tables should not take any more than a second. If an invalid +"planet" parameter value is specified, then a CAAVSOP2013Exception will be +thrown by this method. Also if an error +occurs while loading a VSOP2013 binary file then a CAAVSOP2013Exception +will be thrown by this method.

+

 

+

CAAVSOP2013::CalculateMeanMotion

+

static double CalculateMeanMotion(Planet planet, double +a)

+

Return Value

+

the mean motion of the specified planet in radians per day.

+

Parameters

+

planet An enum specifying which object the calculation +is to be carried out for.

+

a The semi-major axis of the orbit in astronomical units.

+

Remarks

+

This method is used internally by the +CAAVSOP2013::OrbitToElements method.

+

 

+

CAAVSOP2013::OrbitToElements

+

static CAAEllipticalObjectElements OrbitToElements(double JD, Planet planet, +const CAAVSOP2013Orbit& +orbit)

+

Return Value

+

A class containing the elliptical elements of the orbit in an AA+ +CAAEllipticalObjectElements class instance.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

planet An enum specifying which object the calculation +is to be carried out for.

+

orbit A CAAVSOP2013Orbit instance as returned from +CAAVSOP2013::CalculateOrbit.

+

Remarks

+

This method allows you to convert an orbit as defined in the VSOP2013 theory +to a structure used by the AA+ class framework and the +CAAEliptical class.

+

 

+

CAAVSOP2013::Ecliptical2Equatorial

+

static CAAVSOP2013Position Ecliptical2Equatorial(const +CAAVSOP2013Position& value)

+

Return Value

+

Returns the rectangular equatorial coordinates in a CAAVSOP2013Position class containing:

+

X The heliocentric equatorial X rectangular coordinate of the object +in astronomical units.

+

Y The heliocentric equatorial Y rectangular coordinate of the object +in astronomical units.

+

Z The heliocentric equatorial Z rectangular coordinate of the object +in astronomical units.

+

X_DASH The equatorial X velocity of the object in +astronomical units per day.

+

Y_DASH The equatorial Y velocity of the object in +astronomical units per day.

+

Z_DASH The equatorial Z velocity of the object in +astronomical units per day.

+

Parameters

+

value The ecliptic position and velocity as return from +CAAVSOP2013::Calculate.

+

Remarks

+

This method allows you to convert the ecliptical rectangular coordinates as +returned from the CAAVSOP2013::Calculate method to equatorial rectangular coordinates.

+

 

+

 

+

CAAVSOP87_EMB

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of the Earth-Moon Barycenter for the equinox and ecliptic of J2000.0. Please refer to + +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_EMB::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_EMB::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_EMB::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_EMB::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_EMB::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_EMB::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

 

+

CAAVSOP87_Jupiter

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Jupiter for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Jupiter::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Jupiter::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Jupiter::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Jupiter::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Jupiter::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Jupiter::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Mars

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Mars for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Mars::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mars::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mars::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mars::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mars::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mars::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Mercury

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Mercury for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Mercury::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mercury::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mercury::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mercury::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mercury::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Mercury::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Neptune

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Neptune for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Neptune::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Neptune::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Neptune::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Neptune::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Neptune::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Neptune::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Saturn

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Saturn for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Saturn::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Saturn::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Saturn::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Saturn::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Saturn::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Saturn::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Uranus

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Uranus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Uranus::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Uranus::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Uranus::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Uranus::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Uranus::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Uranus::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87_Venus

+

This class provides for calculation of the heliocentric ecliptical orbital +elements of Venus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

A

+

L

+

K

+

H

+

Q

+

P

+

 

+

CAAVSOP87_Venus::A

+

static double A(double JD)

+

Return Value

+

the semi-major axis in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Venus::L

+

static double L(double JD)

+

Return Value

+

the mean longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Venus::K

+

static double K(double JD)

+

Return Value

+

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Venus::H

+

static double H(double JD)

+

Return Value

+

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion +longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Venus::Q

+

static double Q(double JD)

+

Return Value

+

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87_Venus::P

+

static double P(double JD)

+

Return Value

+

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the +semi-inclination and G is the ascending node longitude.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Earth

+

This class provides for calculation of the heliocentric rectangular position of the +Earth for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Earth::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Earth::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Earth::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Earth::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Earth::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Earth::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_EMB

+

This class provides for calculation of the heliocentric rectangular position of the +Earth-Moon Barycenter for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_EMB::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_EMB::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_EMB::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_EMB::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_EMB::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_EMB::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Jupiter

+

This class provides for calculation of the heliocentric rectangular position of +Jupiter for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Jupiter::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Jupiter::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Jupiter::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Jupiter::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Jupiter::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Jupiter::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Mars

+

This class provides for calculation of the heliocentric rectangular position of +Mars for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Mars::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mars::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mars::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mars::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mars::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mars::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Mercury

+

This class provides for calculation of the heliocentric rectangular position of +Mercury for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Mercury::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mercury::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mercury::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mercury::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mercury::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Mercury::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Neptune

+

This class provides for calculation of the heliocentric rectangular position of +Neptune for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Neptune::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Neptune::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Neptune::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Neptune::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Neptune::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Neptune::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Saturn

+

This class provides for calculation of the heliocentric rectangular position of +Saturn for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Saturn::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Saturn::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Saturn::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Saturn::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Saturn::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Saturn::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Uranus

+

This class provides for calculation of the heliocentric rectangular position of +Uranus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Uranus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Uranus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Uranus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Uranus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Uranus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Uranus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87A_Venus

+

This class provides for calculation of the heliocentric rectangular position of +Venus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87A_Venus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Venus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Venus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Venus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Venus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87A_Venus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Earth

+

This class provides for calculation of the heliocentric spherical position of +Earth for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Earth::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Earth::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Earth::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Earth::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Earth::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Earth::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Jupiter

+

This class provides for calculation of the heliocentric spherical position of +Jupiter for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Jupiter::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Jupiter::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Jupiter::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Jupiter::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Jupiter::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Jupiter::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Mars

+

This class provides for calculation of the heliocentric spherical position of +Mars for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Mars::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mars::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mars::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mars::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mars::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mars::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Mercury

+

This class provides for calculation of the heliocentric spherical position of +Mercury for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Mercury::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mercury::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mercury::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mercury::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mercury::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Mercury::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Neptune

+

This class provides for calculation of the heliocentric spherical position of +Neptune for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Neptune::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Neptune::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Neptune::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Neptune::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Neptune::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Neptune::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Saturn

+

This class provides for calculation of the heliocentric spherical position of +Saturn for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Saturn::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Saturn::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Saturn::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Saturn::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Saturn::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Saturn::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Uranus

+

This class provides for calculation of the heliocentric spherical position of +Uranus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Uranus::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Uranus::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Uranus::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Uranus::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Uranus::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Uranus::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87B_Venus

+

This class provides for calculation of the heliocentric spherical position of +Venus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87B_Venus::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Venus::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Venus::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Venus::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Venus::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87B_Venus::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Earth

+

This class provides for calculation of the heliocentric rectangular position of +Earth for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Earth::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Earth::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Earth::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Earth::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Earth::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Earth::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Jupiter

+

This class provides for calculation of the heliocentric rectangular position of +Jupiter for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Jupiter::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Jupiter::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Jupiter::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Jupiter::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Jupiter::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Jupiter::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Mars

+

This class provides for calculation of the heliocentric rectangular position of +Mars for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Mars::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mars::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mars::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mars::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mars::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mars::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Mercury

+

This class provides for calculation of the heliocentric rectangular position of +Mercury for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Mercury::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mercury::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mercury::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mercury::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mercury::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Mercury::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Neptune

+

This class provides for calculation of the heliocentric rectangular position of +Neptune for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Neptune::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Neptune::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Neptune::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Neptune::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Neptune::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Neptune::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Saturn

+

This class provides for calculation of the heliocentric rectangular position of +Saturn for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Saturn::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Saturn::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Saturn::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Saturn::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Saturn::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Saturn::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Uranus

+

This class provides for calculation of the heliocentric rectangular position of +Uranus for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Uranus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Uranus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Uranus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Uranus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Uranus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Uranus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87C_Venus

+

This class provides for calculation of the heliocentric rectangular position of +Venus for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87C_Venus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Venus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Venus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Venus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Venus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87C_Venus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Earth

+

This class provides for calculation of the heliocentric spherical position of +Earth for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Earth::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Earth::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Earth::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Earth::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Earth::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Earth::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Jupiter

+

This class provides for calculation of the heliocentric spherical position of +Jupiter for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Jupiter::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Jupiter::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Jupiter::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Jupiter::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Jupiter::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Jupiter::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Mars

+

This class provides for calculation of the heliocentric spherical position of +Mars for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Mars::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mars::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mars::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mars::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mars::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mars::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Mercury

+

This class provides for calculation of the heliocentric spherical position of +Mercury for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Mercury::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mercury::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mercury::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mercury::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mercury::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Mercury::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Neptune

+

This class provides for calculation of the heliocentric spherical position of +Neptune for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Neptune::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Neptune::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Neptune::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Neptune::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Neptune::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Neptune::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Saturn

+

This class provides for calculation of the heliocentric spherical position of +Saturn for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Saturn::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Saturn::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Saturn::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Saturn::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Saturn::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Saturn::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Uranus

+

This class provides for calculation of the heliocentric spherical position of +Uranus for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Uranus::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Uranus::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Uranus::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Uranus::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Uranus::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Uranus::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87D_Venus

+

This class provides for calculation of the heliocentric spherical position of +Venus for the equinox and ecliptic of date. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

L

+

L_DASH

+

B

+

B_DASH

+

R

+

R_DASH

+

 

+

CAAVSOP87D_Venus::L

+

static double L(double JD)

+

Return Value

+

the ecliptic longitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Venus::L_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic longitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Venus::B

+

static double B(double JD)

+

Return Value

+

the ecliptic latitude in radians.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Venus::B_DASH

+

static double B_DASH(double JD)

+

Return Value

+

the rate of change of the ecliptic latitude in radians / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Venus::R

+

static double R(double JD)

+

Return Value

+

the radius vector in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87D_Venus::R_DASH

+

static double R_DASH(double JD)

+

Return Value

+

the rate of change of the radius vector in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Earth

+

This class provides for calculation of the barycentric rectangular position of +Earth for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Earth::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Earth::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Earth::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Earth::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Earth::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Earth::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Jupiter

+

This class provides for calculation of the barycentric rectangular position of +Jupiter for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Jupiter::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Jupiter::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Jupiter::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Jupiter::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Jupiter::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Jupiter::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Mars

+

This class provides for calculation of the barycentric rectangular position of +Mars for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Mars::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mars::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mars::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mars::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mars::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mars::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Mercury

+

This class provides for calculation of the barycentric rectangular position of +Mercury for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Mercury::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mercury::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mercury::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mercury::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mercury::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Mercury::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Neptune

+

This class provides for calculation of the barycentric rectangular position of +Neptune for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Neptune::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Neptune::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Neptune::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Neptune::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Neptune::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Neptune::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Saturn

+

This class provides for calculation of the barycentric rectangular position of +Saturn for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Saturn::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Saturn::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Saturn::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Saturn::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Saturn::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Saturn::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Sun

+

This class provides for calculation of the barycentric rectangular position of +the Sun for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Sun::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Sun::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Sun::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Sun::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Sun::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Sun::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Uranus

+

This class provides for calculation of the barycentric rectangular position of +Uranus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Uranus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Uranus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Uranus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Uranus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Uranus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Uranus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

CAAVSOP87E_Venus

+

This class provides for calculation of the barycentric rectangular position of +Venus for the equinox and ecliptic of J2000.0. Please refer to +ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

+

 

+

Functions this class provides include:

+

X

+

X_DASH

+

Y

+

Y_DASH

+

Z

+

Z_DASH

+

 

+

CAAVSOP87E_Venus::X

+

static double X(double JD)

+

Return Value

+

the X position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Venus::X_DASH

+

static double X_DASH(double JD)

+

Return Value

+

the rate of change of the X position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Venus::Y

+

static double X(double JD)

+

Return Value

+

the Y position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Venus::Y_DASH

+

static double Y_DASH(double JD)

+

Return Value

+

the rate of change of the Y position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Venus::Z

+

static double Z(double JD)

+

Return Value

+

the Z position component in astronomical units.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

CAAVSOP87E_Venus::Z_DASH

+

static double Z_DASH(double JD)

+

Return Value

+

the rate of change of the Z position component in astronomical units / day.

+

Parameters

+

JD The date in Dynamical time to calculate for.

+

 

+

 

+

References

+
    +
  • The book "Astronomical Algorithms" by Jean Meeus, which you can + purchase from + + Amazon or directly from the publishers + + Sky & Telescope formerly Willman-Bell.
    • +
  • The Near Parabolic class "CAANearParabolic" is based upon the + worked examples which Paul Schlyter has provided at + http://stjarnhimlen.se/comp/tutorial.html#16
    • +
  • As mentioned in the History section of this document, the "CAAMoslemCalendar" + class has known bugs. If you would like a robust high performance template based + implementation of the various versions of the Algorithmic Moslem Calendar, then + check out the author's + DTime+ download.
    • +
+ + +

 

+

 

+

 

+

Contacting the Author

+

PJ Naughter
Email: pjna@naughter.com
+Web: http://www.naughter.com
20 March 2022

+ + + + diff --git a/Vendor/AA+/1.6.3/stdafx.cpp b/Sources/AAPlus/stdafx.cpp old mode 100755 new mode 100644 similarity index 100% rename from Vendor/AA+/1.6.3/stdafx.cpp rename to Sources/AAPlus/stdafx.cpp diff --git a/AstronomyKit/AstronomicalCalculations.mm b/Sources/AstronomyKit/AstronomicalCalculations.mm similarity index 99% rename from AstronomyKit/AstronomicalCalculations.mm rename to Sources/AstronomyKit/AstronomicalCalculations.mm index aef9f17..3d4d179 100644 --- a/AstronomyKit/AstronomicalCalculations.mm +++ b/Sources/AstronomyKit/AstronomicalCalculations.mm @@ -8,7 +8,7 @@ #import "AstronomicalCalculations.h" #import "NSCalendar+AstronomyKit.h" -#import "AA+.h" +#import "AA.h" @implementation AstronomicalCalculations @@ -98,7 +98,6 @@ + (double)lunarPhaseWithDate:(nonnull NSDate *)date { return (position < 180.0 ? phase + 180.0 : 180.0 - phase) / 360.0; } - #pragma mark - Solar calculations + (NSDate *)solarRiseDateWithDate:(NSDate *)date location:(CLLocationCoordinate2D)location { @@ -128,7 +127,6 @@ + (NSDate *)solarSetDateWithDate:(NSDate *)date location:(CLLocationCoordinate2D return NULL; } - #pragma mark - Private + (double)julianDateWithDate:(NSDate *)date { diff --git a/AstronomyKit/NSCalendar+AstronomyKit.m b/Sources/AstronomyKit/NSCalendar+AstronomyKit.m similarity index 100% rename from AstronomyKit/NSCalendar+AstronomyKit.m rename to Sources/AstronomyKit/NSCalendar+AstronomyKit.m diff --git a/AstronomyKit/AstronomicalCalculations.h b/Sources/AstronomyKit/include/AstronomicalCalculations.h similarity index 100% rename from AstronomyKit/AstronomicalCalculations.h rename to Sources/AstronomyKit/include/AstronomicalCalculations.h diff --git a/AstronomyKit/Configuration/iOS/AstronomyKit.h b/Sources/AstronomyKit/include/AstronomyKit.h similarity index 75% rename from AstronomyKit/Configuration/iOS/AstronomyKit.h rename to Sources/AstronomyKit/include/AstronomyKit.h index 6ab1496..aa04cea 100644 --- a/AstronomyKit/Configuration/iOS/AstronomyKit.h +++ b/Sources/AstronomyKit/include/AstronomyKit.h @@ -7,8 +7,8 @@ // #import -#import -#import +#import +#import FOUNDATION_EXPORT double AstronomyKitVersionNumber; FOUNDATION_EXPORT const unsigned char AstronomyKitVersionString[]; diff --git a/AstronomyKit/NSCalendar+AstronomyKit.h b/Sources/AstronomyKit/include/NSCalendar+AstronomyKit.h similarity index 100% rename from AstronomyKit/NSCalendar+AstronomyKit.h rename to Sources/AstronomyKit/include/NSCalendar+AstronomyKit.h diff --git a/Tests/AstronomyKitTests.m b/Tests/AstronomyKitTests.m deleted file mode 100644 index 864754a..0000000 --- a/Tests/AstronomyKitTests.m +++ /dev/null @@ -1,40 +0,0 @@ -// -// AstronomyKitTests.m -// AstronomyKitTests -// -// Created by Caleb Davenport on 9/1/15. -// Copyright (c) 2015 Hodinkee. All rights reserved. -// - -#import -#import - -@interface AstronomyKitTests : XCTestCase - -@end - -@implementation AstronomyKitTests - -- (void)setUp { - [super setUp]; - // Put setup code here. This method is called before the invocation of each test method in the class. -} - -- (void)tearDown { - // Put teardown code here. This method is called after the invocation of each test method in the class. - [super tearDown]; -} - -- (void)testExample { - // This is an example of a functional test case. - XCTAssert(YES, @"Pass"); -} - -- (void)testPerformanceExample { - // This is an example of a performance test case. - [self measureBlock:^{ - // Put the code you want to measure the time of here. - }]; -} - -@end diff --git a/Tests/Info.plist b/Tests/Info.plist deleted file mode 100644 index 9e240ef..0000000 --- a/Tests/Info.plist +++ /dev/null @@ -1,24 +0,0 @@ - - - - - CFBundleDevelopmentRegion - en - CFBundleExecutable - $(EXECUTABLE_NAME) - CFBundleIdentifier - $(PRODUCT_BUNDLE_IDENTIFIER) - CFBundleInfoDictionaryVersion - 6.0 - CFBundleName - $(PRODUCT_NAME) - CFBundlePackageType - BNDL - CFBundleShortVersionString - 1.7.1 - CFBundleSignature - ???? - CFBundleVersion - 9 - - diff --git a/Vendor/AA+/1.6.3/AA+.htm b/Vendor/AA+/1.6.3/AA+.htm deleted file mode 100755 index 1cd9943..0000000 --- a/Vendor/AA+/1.6.3/AA+.htm +++ /dev/null @@ -1,8893 +0,0 @@ - - - - -AA+ v1.63 - - - - - -

AA+ v1.63

-

Welcome to AA+, a collection of freeware C++ classes which provide -an implementation of the algorithms as presented in the book "Astronomical -Algorithms" (2nd Edition) by Jean Meeus.

-

Example areas covered include the positions of the planets, comets, minor planets -and the moon, calculation of times of Rising, Setting and Transit, calculation of -times of Equinoxes and Solstices plus calculation of the positions of the moons -of Jupiter and Saturn as well as many other algorithms presented in the book.

-

 

- - - - - - - - - - - - - - - - - - - - - - -
Features
Usage
Copyright
History
Class Framework Reference
References
Contacting the Author
-

 

-

 

-

 

-

Features

-
    -
  • Simple C++ interface using static functions and class instances as return - values where appropriate.
    • -
  • All code compiles cleanly at the highest warning level of 4. This is the - case with all of my other code on my web site as well.
    • -
  • A simple test app has been provided to test and verify all the functions - of the library based on examples as provided in the book.
    • -
-

-

 

-

 

-

 

-

Usage

-
    -
  • To get started using the code you really should have a copy of the book - if you want to thoroughly understand the algorithms and be able to use the different - classes and methods in conjunction with each other. For further details please - see the References
    • -
  • To use the classes in your code simple include AA*.cpp in your project and - #include AA*.h in which ever of your modules needs to make calls to the classes.
    • -
  • You can optionally pare back the modules which you do not want to include - until you arrive at a minimum set for your requirements.
    • -
  • To see the classes in action, have a look at the code in the main function - in the module "aatest.cpp".
    • -
-

 

-

 

-

 

-

Copyright

-
    -
  • You are allowed to include the source code in any product (commercial, shareware, - freeware or otherwise) when your product is released in binary form.
    • -
  • You are allowed to modify the source code in any way you want except you - cannot modify the copyright details at the top of each module.
    • -
  • If you want to distribute source code with your application, then you are - only allowed to distribute versions released by the author. This is to maintain - a single distribution point for the source code.
    • -
-

 

-

 

-

 

-

History

-

V1.0 (6 February 2004)

-
    -
  • Initial public release.
    • -
-

V1.01 (9 February 2004)

-
    -
  • Updated the values used in the calculation of the a1 and a2 constants for - Saturn's moon Rhea (satellite V) following an email from Jean Meeus confirming - that these constants are indeed incorrect as published in the book.
    • -
-

V1.02 (9 February 2004)

-
    -
  • Replaced all calls to the macro "INT" with the function CAADate::INT - which is what they should have been. The only affected class for this was CAAMoslemCalendar.
    • -
  • Fixed a number of level 4 warnings in the CAAStellarMagnitudes class when - the code is compiled in VC.Net 2003.
    • -
-

V1.03 (14 February 2004)

-
    -
  • Fixed a "minus zero" bug in the function CAACoordinateTransformation::DMSToDegrees. - The sign of the value is now taken explicitly from the new bPositive boolean - parameter. Thanks to Patrick Wallace for reporting this problem.
    • -
-

V1.04 (21 February 2004)

-
    -
  • The optical libration in longitude for the moon is now returned in the range - -180 - 180 degrees
    • -
-

V1.05 (22 February 2004)

-
    -
  • Fixed a bug in the calculation of the phase type from the k value in CAAMoonPhases::TruePhase.
    • -
-

V1.06 (22 February 2004)

-
    -
  • Calculation of semi durations for eclipses in CAAEclipses is now calculated - only when required
    • -
-

27 April  2004

-
    -
  • Minor update to the documentation describing CAAElliptical::MeanMotionFromSemiMajorAxis
    • -
-

v1.07 (24 May 2004)

-
    -
  • Fixed a missing break statement in CAAElliptical::Calculate. Thanks to Carsten - A. Arnholm for reporting this bug.
    • -
  • Also fixed an issue with the calculation of the apparent distance to the - Sun.
    • -
-

v1.08 (31 May 2004)

-
    -
  • Added a missing coefficient to g_L1JupiterCoefficients array as used by - CAAJupiter::EclipticLongitude. Thanks to Brian Orme for reporting this problem.
    • -
  • Added missing g_B5JupiterCoefficients[] in CAAJupiter::EclipticLatitude. - Again thanks to Brian Orme for reporting this problem.
    • -
  • In CAASaturn::EclipticLongitude the g_L5SaturnCoefficients[] were not included. - Thanks to Brian Orme for reporting this problem.
    • -
  • In CAASaturn::EclipticLatitude the g_B5SaturnCoefficients[] were not included. - Thanks to Brian Orme for reporting this problem.
    • -
  • In CAASaturn::RadiusVector the g_R5SaturnCoefficients[] were not included. - Thanks to Brian Orme for reporting this problem.
    • -
-

v1.09 (15 June 2004)

-
    -
  • Fixed a typo in the calculation of SunLongDash in CAAPhysicalSun::Calculate. - Thanks to Brian Orme for spotting this problem.
    • -
-

6 September 2004

-
    -
  • Minor update to the documentation plus a full spell check!!
    • -
-

v1.10 (17 September 2004)

-
    -
  • Fixed a number of warnings in the code when compiled in VC .Net 2003 with - the "Force conformance in For Loop Scope" compiler option is set.
    • -
-

v1.11 (15 October 2004)

-
    -
  • bValid variable is now correctly set in CAARiseTransitSet::Rise if the objects - does actually rise and sets.
    • -
-

v1.12 (10 November 2004)

-
    -
  • Fix for CAADate::Get so that it works correctly for propalactive calendar - dates. The Meeus implementation automatically assumes the Gregorian Calendar - came into effect on 15 October 1582 (JD: 2299161), while the CAADate implementation - has a "m_bGregorianCalendar" value to decide if the date was specified - in the Gregorian or Julian Calendars. This difference means in effect that CAADate - fully supports propalactive versions of both calendar systems. This problem - was discovered when testing the Moslem calendar code which involves a round - trip between Moslem -> Julian -> Gregorian calendars.
    • -
-

v1.13 (31 December 2004)

-
    -
  • Fix for CAAElliptical::MinorPlanetMagnitude where the phase angle was being - incorrectly converted from Radians to Degress when it was already in degrees. - Thanks to Martin Burri for reporting this problem.
    • -
-

v1.14 (21 January 2005)

-
    -
  • Fixed a small but important error in the function PhaseAngle(r, R, Delta). - The code was producing incorrect results and raises acos DOMAIN errors and floating - point exceptions when calculating phase angles for the inner planets. Thanks - to MICHAEL R. MEYER for reporting this problem.
    • -
-

v1.15 (30 January 2005)

-
    -
  • Replaced all usage of BOOL with bool to aid in cross compiler compatibility. - This also means that all occurrences of TRUE and FALSE are replaced with true - and false respectively. Thanks to Mika Heiskanen for reporting this issue. -
    • -
  • cmath header file is now used rather than math.h. Also if now does not use - the #pragma message text based on a define which is MS C specific. Again thanks - to Mika Heiskanen for reporting this issue.
    • -
  • Now uses asssert instead of the MFC specific ASSERT. Again thanks to Mika - Heiskanen for reporting this issue.
    • -
  • Addition of a new global header file "AA+.h" which allows you - to include all of the AA+ framework through one header.
    • -
  • Code now use static_cast's rather than old C-style casts. Again thanks - to Mika Heiskanen for reporting this issue.
    • -
  • Optimized some of the code in assert's which avoid unitialized variables - when build in release mode. Again thanks to Mika Heiskanen for reporting this - issue.
    • -
-

v1.16 (31 January 2005)

-
    -
  • Fixed a bug in CAAParabolic::Calculate where the JD value was being used - incorrectly in the loop. Thanks to Mika Heiskanen for reporting this problem.
    • -
  • Fixed a GCC warning in CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen - for reporting this problem.
    • -
  • Fixed a GCC compiler error related to missing include for memset in AAEclipses.cpp. - Thanks to Mika Heiskanen for reporting this problem.
    • -
-

v1.17 (1 February 2005)

-
    -
  • Fixed a case sensitivity problem (at least on Unix systems) related to the - stdafx.h/cpp files. Now filename is all lowercase. Thanks to Mika Heiskanen - for reporting this problem.
    • -
  • Change the ordering of items in stdafx.h so that you get a clean compile - on gcc. Thanks to Mika Heiskanen for reporting this problem.
    • -
  • Fixed a problem with the declaration of the variable "Index" in - the function CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen for reporting - this problem.
    • -
  • Removed usage of MFC from sample app as it is not required.
    • -
  • Verfied the building of the code on GCC thro the use of Cygwin's port - of GCC.
    • -
-

v1.18 (21 April 2005)

-
    -
  • Renamed "AAAberation.cpp" to "AAAberration.cpp" so that - all source code filenames match their corresponding header files. Thanks to - Jürgen Schuck for suggesting this update.
    • -
-

v1.19 (13 May 2005)

-
    -
  • Fix for CAADate::Set(double JD, bool bGregorianCalendar) not setting the - m_bGregorianCalendar member variable correctly.
    • -
-

v1.20 (2 June 2005)

-
    -
  • Seems the case sensitivity issue fixed in v1.17 was not fixed because I - forgot to update the files in the zip download. Thanks to Andrew Maclean for - reporting this issue.
    • -
  • A "CMakeLists.txt" file is now included in the download. This - file is used by CMake (http://www.cmake.org/HTML/Index.html) - which is a cross-platform makefile generator. This allows the AA+ code to be - easily compiled on Cygwin, Linux and the usual MSVC compilers. Thanks to Andrew - Maclean for this nice addition.
    • -
  • Some of the functions in the class "CAACoordinateTransformation" - have been made inline to improve performance.
    • -
  • Made all structures used by AA+ classes. This is a minor tidy up issue more - than anything. Also ensured all class members are initialized to sane defaults.
    • -
-

v1.21 (3 June 2005)

-
    -
  • Minor update to "CMakeLists.txt" file to fix a case sensitivity - issue. Thanks to Andrew Maclean for reporting this issue.
    • -
-

v1.22 (5 July 2005)

-
    -
  • Fix for a bug to ensure that values returned from CAAEquationOfTime::Calculate - does not return discontinuities. Instead it now returns negative values when - required.
    • -
-

v1.23 (16 November 2005)

-
    -
  • Fixed a transcription error in the second coefficient used to calculate - the longitude of Mercury. Thanks to "Maurizio" for reporting this - bug.
    • -
-

1 May 2006

-
    -
  • While testing v3.01 of - DTime+ I discovered some bugs in the CAAMoslemCalendar class. Specifically - testing some dates by creating a Moslem date, then converting to a Julian date - and then converting back to the Moslem calendar highlighted some dates which - fail this roundtrip test. If you are serious about developing for the Moslem - calendar, then please use the Moslem calendar support in - DTime+ which uses an independent - algorithm for the Moslem calendar which does not have this problem. I will report - this issue to Jean Meeus and possibly have a fix for it in the next update to - AA+.
    • -
-

v1.24 (12 May 2006)

-
    -
  • Updated the documentation to use the same style as the web site.
    • -
  • Fixed a transcription error in the third coefficient used to calculate the - R0 term for the radius vector of Mercury. Thanks to John Kruso for reporting - this issue.
    • -
  • Fixed a transcription error in the third coefficient used to calculate the - R1 term for the radius vector of Mercury. Thanks to John Kruso for reporting - this issue.
    • -
  • Updated copyright details.
    • -
-

18 May 2006

-
    -
  • Jean Meeus has confirmed that there is definitely a bug in the Moslem calendar - algorithms which make up the CAAMoslemCalendar class. He is not the original - author of these algorithms, so he was unable to explain why they fail for some - dates. As previously mentioned please use the - DTime+ classes to avoid - this issue.
    • -
-

v1.25 (5 June 2006)

-
    -
  • Fixed a bug in CAAElliptical::Calculate(double JD, EllipticalObject object) - where the correction for nutation was incorrectly using the Mean obliquity of - the ecliptic instead of the true value. The results from the test program now - agree much more closely with the example Meeus provides which is the position - of Venus on 1992 Dec. 20 at 0h Dynamical Time. I've also checked the positions - against the JPL Horizons web site and the agreement is much better. Because - the True obliquity of the Ecliptic is defined as the mean obliquity of the ecliptic - plus the nutation in obliquity, it is relatively easy to determine the magnitude - of error this was causing. From the chapter on Nutation in the book, and specifically - the table which gives the cosine coefficients for nutation in obliquity you - can see that the absolute worst case error would be the sum of the absolute - values of all of the coefficients and would have been c. 10 arc seconds of degree, - which is not a small amount!. This value would be an absolute worst case and - I would expect the average error value to be much much smaller (probably much - less than an arc second). Anyway the bug has now been fixed. Thanks to Patrick - Wong for pointing out this rather significant bug.
    • -
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23 October 2006

-
    -
  • Minor update to fix some incorrect book mark links in the documentation.
    • -
-

v1.26 (29 November 2006)

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    -
  • Fixed a bug where CAAEclipticalElements::Calculate and CAAEclipticalElements::FK4B1950ToFK5J2000 - would return the incorrect value for the reduced inclination when the initial - inclination value was > 90 degrees.
    • -
  • Addition of a new module called CAANearParabolic. This new class provides - functionality for orbits which can be best modelled as near parabolic i.e. where - the eccentricity is between 0.98 and 1.02. Chapter 35 in the book includes support - for calculating Near-parabolic orbits, but the code is provided in BASIC and - the algorithm as presented has problems converging when the eccentricity is - close to 1. Instead the algorithms used in this new module are based upon the - worked examples which Paul Schlyter has provided at - http://stjarnhimlen.se/comp/tutorial.html#16.
    • -
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v1.27 (17 January 2007)

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    -
  • Updated copyright details.
    • -
  • Addition of a AAPLUS_EXT_CLASS preprocessor macro to allow the code to be - more easily added to an extension DLL. Thanks to Mathieu Peyréga for suggesting - this update.
    • -
  • Changed name of CAASun::ApparentEclipticLongtitude to CAASun::ApparentEclipticLongitude. - Thanks to Mathieu Peyréga for reporting this typo!.
    • -
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v1.28 (25 January 2007)

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  • Fixed a minor compliance issue with GCC in the AACoordinateTransformation.h - to do with the declaration of various methods. Thanks to Mathieu Peyréga for - reporting this issue.
    • -
-

v1.29 (26 January 2007)

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  • After a bug report from Ing. Taras Kapuszczak that a round trip of the date - 25 January 100 as specified in the Gregorian calendar to the Julian day number - and then back again produces the incorrect date 26 January 100, I've spent - some time looking into the 2 key Meeus Julian Day algorithms. It seems that - the algorithms which converts from a Calendar date to JD works ok for propalactive - dates, but the reverse algorithm which converts from a JD to a Calendar date - does not. Since I made the change in behaviour to support propalactive Gregorian - dates to address issues with the Moslem calendar (and since then I have discovered - further unresolved bugs in the Moslem calendar algorithms and advised people - to check out my DTime+ - library instead), I am now reverting these changes so that the date algorithms - are now as presented in Meeus's book. This means that dates after 15 October - 1582 are assumed to be in the Gregorian calendar and dates before are assumed - to be in the Julian calendar. This change also means that some of the CAADate - class methods no longer require the now defunct "bool" parameter to - specify which calendar the date represents. As part of the testing for this - release verification code has been added to AATest.cpp to test all the dates - from JD 0 (i.e. 1 January -4712) to a date long in the future. Hopefully with - this verification code, we should have no more reported issues with the class - CAADate. Again if you would prefer a much more robust and comprehensive Date - time class framework, don't forget to check out the authors - DTime+ library.
    • -
  • Optimized CAADate constructor code
    • -
  • Provided a static version of CAADate::DaysInMonth() method
    • -
  • Discovered an issue in CAADate::JulianToGregorian. It seems the algorithm - presented in the book to do conversion from the Julian to Gregorian calendar - fails for Julian dates before the Gregorian calendar reform in 1582. I have - sent an email to Jean Meeus to find out if this is a bug in my code or a deficiency - in the algorithm presented. Currently the code will assert in this function - if it is called for a date before the Gregorian reform.
    • -
  • Changed name of CAAMoonIlluminatedFraction::IluminatedFraction to CAAMoonIlluminatedFraction::IlluminatedFraction. - Thanks to Ing. Taras Kapuszczak for reporting this typo!.
    • -
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v1.30 (29 January 2007)

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  • The static version of the CAADate::Set method has been renamed to DateToJD - to avoid any confusion with the other Set methods. Thanks to Ing. Taras Kapuszczak - for reporting this issue.
    • -
  • The method CAADate::InGregorianCalendar has now also been renamed to the - more appropriate CAADate::AfterPapalReform.
    • -
  • Reinstated the bGregorianCalendar parameter for the CAADate constructors - and Set methods.
    • -
  • Changed the parameter layout for the static version of CAADate::DaysInMonth
    • -
  • Addition of a CAADate::InGregorianCalendar method.
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  • Addition of a CAADate::SetInGregorianCalendar method.
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  • Reworked implementation of GregorianToJulian method.
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  • Reworked implementation of JulianToGregorian method.
    • -
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v1.31 (26 July 2008)

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  • Changed name of CAASun::EclipticRectangularCoordinatesMeanEquinox to CAASun::EquatorialRectangularCoordinatesMeanEquinox - to refer to the fact that it returns equatorial coordinates instead of ecliptic - coordinates. Thanks to Frank Trautmann for reporting this issue
    • -
  • Updated copyright details.
    • -
  • zip file now ships with a VC 2005 solution instead of a VC 6 solution file.
    • -
  • Code now compiles cleanly using Code Analysis (/analyze)
    • -
-

v1.32 (11 November 2008)

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  • Fixed a bug in CAAElliptical::Calculate(double JD, const CAAEllipticalObjectElements& - elements) in the calculation of the heliocentric rectangular ecliptical, the - heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. - The code incorrectly used the value "omega" instead of "w" - in its calculation of the value "u". Unfortunately there is no worked - examples in Jean Meeus's book for these particular values, hence resulting - in my coding errors. Thanks to Carsten A. Arnholm for reporting this bug. -
    • -
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v1.33 (7 February 2009)

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  • Fixed a seemingly copy and paste bug in CAAMoonPerigeeApogee::TruePerigee. - The layout of the code to accumulate the "Sigma" value was incorrect. - The terms involving T (e.g. +0.00019*T, -0.00013*T etc were adding these terms - to the argument of the sin incorrectly. With the bug fixed the worked example - 50.a from the book gives: 2447442.3543003569 JDE or 1988 October 7 at 20h:30m:11.5 - seconds. The previous buggy code was giving the same value of 2447442.3543003569, - but this would be the case because T was a small value in the example. You would - expect the error in the calculated to be bigger as the date departs from the - Epoch 2000.0. Thanks to Neoklis Kyriazis for reporting this bug.
    • -
  • Optimized the layout of the MoonCoefficient1 structure in the AAMoon.cpp - module by making all elements integers instead of doubles.
    • -
  • Optimized the layout of the PlutoCoefficient1 structure in the AAPluto.cpp - module by making all elements integers instead of doubles.
    • -
  • Updated the static version of CAADate::DaysInMonth to compile cleanly using - code analysis.
    • -
  • Updated copyright details.
    • -
-

v1.34 (12 February 2009)

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    -
  • Fixed a seemingly copy and paste bug in CAAMoon::EclipticLongitude. The - layout of the code to calculate the "ThisSigma" value was incorrect. - The terms involving any value of M was being multiplied by E. This was incorrect - as documented at the bottom of page 338 from the second edition of Meeus's - book. The correct logic is to multiple only terms which involve +1M or -1M by - E and to multiple any terms which involved 2M or -2M by E*E. With the bug fixed - the worked example 47.a from the book now gives: 133.16726428105474 degrees. - This is a much closer result to the value as reported in the book which is 133.167265. - The previous buggy code was giving the value of 133.16726382897039 degrees for - the Moons apparent Longitude. The error in this example is 0.001627 arc seconds - of a degree. This error value is well within the actual reported accuracy of - 10 arc seconds for the code, but you would expect this error to increase as - the eccentricity of earths orbit increases. Thanks to Neoklis Kyriazis for reporting - this bug.
    • -
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v1.35 (16 March 2009)

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  • Fixed a bug in CAAParabolic::Calculate(double JD, const CAAParabolicObjectElements& - elements) in the calculation of the heliocentric rectangular ecliptical, the - heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. - The code incorrectly used the value "omega" instead of "w" - in its calculation of the value "u". Unfortunately there is no worked - examples in Jean Meeus's book for these particular values, hence resulting - in my coding errors. Thanks to Jay Borseth for reporting this bug.
    • -
  • Fixed a bug in CAANearParabolic::Calculate(double JD, const CAANearParabolicObjectElements& - elements) in the calculation of the heliocentric rectangular ecliptical, the - heliocentric ecliptical latitude and the heliocentric ecliptical longitude coordinates. - The code incorrectly used the value "omega" instead of "w" - in its calculation of the value "u". Unfortunately there is no worked - examples in Jean Meeus's book for these particular values, hence resulting - in my coding errors. Thanks to Jay Borseth for reporting this bug.
    • -
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v1.36 (28 March 2009)

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    -
  • Fixed a bug in CAARiseTransitSet::Rise where the cyclical nature of a RA - value was not taken into account during the interpolation. In fact Meeus in - the book even refers to this issue as "Important remarks, 2." on page - 30 of the second edition. Basically when interpolating RA, we need to be careful - that the 3 values are consistent with respect to each other when any one of - them wraps around from 23H 59M 59S around to 0H 0M 0S. In this case, the RA - has increased by 0H 0M 1S of RA instead of decreasing by 23H 59M 59S. Thanks - to Corky Corcoran and Danny Flippo for both reporting this issue.
    • -
  • Fixed a bug in the calculation of the parameter "H" in CAARiseTransitSet::Rise - when calculating the local hour angle of the body for the time of transit.
    • -
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v1.37 (30 April 2009)

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  • Fixed a bug where the M values in CAARiseTransitSet::Rise were not being - constrained to between 0 and 1. Thanks to Matthew Yager for reporting this issue.
    • -
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v1.38 (3 October 2009)

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  • Fixed a copy and paste gremlin in the CAAEarth::EclipticLatitude method - where it incorrectly used B2, B3 & B4 coefficient terms for Venus. Due to - how this bug occurred, the magnitude of the error from it would increase as - the date deviated from the year 2000. Thanks to Isaac Salzman for reporting - this bug.
    • -
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v1.39 (24 November 2009)

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  • Updated the sample app and documentation to provide better guidance on how - to calculate the times of Moon rise, transit and set. Thanks to Mehmet Rauf - Geden for reporting this bug.
    • -
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v1.40 (30 December 2009)

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    -
  • Updated the sample app to pull in cstdio instead of cstdio.h. Thanks to - Hugo Mildenberger for suggesting this update.
    • -
  • Fixed a number of GCC compiler warnings in AATest.cpp. Thanks to Hugo Mildenberger - for suggesting this update.
    • -
  • The CMake file "CMakeLists.txt" included in the download has been - updated to work correctly on Gentoo Linux. Again thanks to Hugo Mildenberger - for this update.
    • -
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v1.41 (10 May 2010)

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    -
  • Updated copyright details.
    • -
  • Minor update to CAAPhysicalMoon::CalculateTopocentric to put a value in - a variable for easier debugging
    • -
  • Fixed up unused variable warnings in AATest.cpp
    • -
  • Fixed spelling mistakes in AATest.cpp for "Palomor Observatory"
    • -
  • The CAAEllipticalObjectDetails::AstrometricGeocenticRA value is now known - as AstrometricGeocentricRA. Thanks to Scott Marley for reporting this spelling - mistake
    • -
  • The CAANearParabolicObjectDetails::AstrometricGeocenticRA value is now known - as AstrometricGeocentricRA. Thanks to Scott Marley for reporting this spelling - mistake
    • -
  • Removed the unused Delta parameter from the CAANutation::NutationInDeclination - method. Thanks to Thomas Meyer for reporting this issue.
    • -
-

v1.42 (21 May 2010)

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    -
  • Fixed spelling mistakes in AATest.cpp for "Palomar Observatory". - Thanks to Leighton Paul for reporting the fact that the change for v1.41 was - still spelt incorrectly.
    • -
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v1.43 (3 July 2010)

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    -
  • Fixed a bug in the g_MoonPerigeeApogeeCoefficients3 table. The "+0.013*cos(4D - - 2F)" term was incorrectly using "+0.013*cos(4D - 20F)". The - error in the lunar distance because of this coding error is of the order of - 1 to 2 KM. Thanks to Thomas Meyer for reporting this bug.
    • -
  • Fixed a bug in the g_MoonPerigeeApogeeCoefficients1 table. The "D+2M-0.0010" - term was incorrectly using "D+2M-0.0011". Thanks to Thomas Meyer for - reporting this bug.
    • -
-

v1.44 (4 July 2010)

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    -
  • Fixed various compiler warnings and errors when the code is compiled using - C++ Builder. Thanks to Neil Bingham for reporting these issues.
    • -
  • Removed unnecessary "Longitude" parameter from method CAAParallax::Ecliptic2Topocentric.
    • -
-

v1.45 (26 November 2010)

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    -
  • CAARefraction::RefractionFromApparent now returns a constant refraction - value for all altitudes below a certain limit. Thanks to mehrzad khoddam for - prompting this update.
    • -
  • CAARefraction::RefractionFromTrue now returns a constant refraction value - for all altitudes below a certain limit. Thanks to mehrzad khoddam for prompting - this update.
    • -
-

v1.46 (8 May 2011)

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    -
  • Updated copyright details.
    • -
  • Fixed a compilation issue on GCC where size_t was undefined in various methods. - Thanks to Carsten A. Arnholm and Andrew Hammond for reporting this bug.
    • -
  • Updated CAARiseTransitSet::Rise method to return information for circumpolar - object rather than returning bValid = false for this type of object. In the - case of a circumpolar object, the object does not rise or set on the day in - question but will of course transit at a specific time. This change means that - you do not need to recall the method with a declination value to get the transit - time. In addition if an object never rises or sets, the method will still return - the transit time even though it occurs below the horizon by setting the bTransitAboveHorizon - value to false. Note that this means that the "Transit" value will - now always include a valid value. Also the method has been renamed to Calculate. - Thanks to Andrew Hood for prompting this update
    • -
  • Fixed a bug in CAAGalileanMoons::CalculateHelper where the periodic terms - in longitude for the four satellites (Sigma1 to Sigma4) were not being converted - to radians prior to some trigonometric calculations. Thanks to Thomas Meyer - for reporting this bug.
    • -
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v1.47 (10 September 2011)

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    -
  • Fixed a bug in the calculation of the "F" local variable which - represents the Moon's argument of latitude in the CAAMoonPhases::TruePhase - method. Thanks to Andrew Hammond for reporting this bug.
    • -
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v1.48 (18 March 2012)

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    -
  • Updated copyright details.
    • -
  • All global "g_*" tables are now const. Thanks to Roger Dahl for - reporting this issue when compiling AA+ on ARM.
    • -
-

v1.49 (1 May 2012)

- -

v1.50 (2 May 2012)

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    -
  • To further improve the accuracy of the CAADynamicalTime::DeltaT method, - the code now uses a lookup table between the dates of 1 February 1973 to 1 April - 2012 (for observed values) and predicted values from April 2012 till April 2015. - These values are as provided by IERS Rapid Service/Prediction Center at - http://maia.usno.navy.mil/ser7/deltat.data - and http://maia.usno.navy.mil/ser7/deltat.preds. - This lookup table will of course need to be kept up to date as IERS update this - information. As currently coded there is a single discontinuity of c. one second - in early April 2015. At this point - http://maia.usno.navy.mil/ser7/deltat.preds - indicates an error value for DeltaT of about 0.9 seconds anyway.
    • -
  • A new CAADynamicalTime::CumulativeLeapSeconds has been provided. This method - takes as input the Julian Day value and returns the cumulative total of Leap - seconds which have been applied to this point. For more information about leap - seconds please see http://en.wikipedia.org/wiki/Leap_second. - Using this method you can now implement code which converts from Terrestrial - Time to Coordinated Universal time as follows:

    double TerrestialTime - = some calculation using AA+ algorithms(JD);
    double DeltaT = CAADynamicalTime::DeltaT(JD); -
    double UniversalTime1 = TerrestialTime - DeltaT/86400.0; //The time of the - event using the UT1 time scale
    double TerrestialAtomicTime = TerrestialTime - - (32.184/86400.0); //The time of the event using the TAI time scale
    double - CumulativeLeapSeconds = CAADynamicalTime::CumulativeLeapSeconds(JD);
    double - CoordinatedUniversalTime = (DeltaT - CumulativeLeapSeconds - 32.184)/86400.0 - + UniversalTime1; //The time of the event using the UTC time scale
    • -
-

v1.51 (5 May 2012)

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  • Updated the sample app to print out the rise transit and set times for the - Moon and Sun as well as a ASCII graphic of the moon phase for the month of April - 2012 for the location of Wexford, Ireland. Thanks to Roger Dahl for providing - this nice addition to AA+.
    • -
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v1.52 (12 October 2012)

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  • Refactored the code in CAARiseTransitSet::Calculate.
    • -
  • Added comments to the documentation for CAARiseTransitSet::Calculate on - the potential for returning times outside of the UTC date requested. Thanks - to Rob Phillips for reporting this issue.
    • -
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v1.53 (13 October 2012)

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  • Updated the sample app to show the rise, transit and set details for the - Moon and Sun at the North Pole for 31 October 2012. This shows that the Sun - does not rise or set on that day and transits below the horizon at 11:43:36 - UTC and the Moon also does not rise or set and transits above the horizon at - 00:35:12 UTC. Thanks to Michael Iverson for prompting this check.
    • -
  • Removed need for std::string class from AATest.cpp module.
    • -
  • Fixed a small typo in the AARiseTransitSet.cpp history comments. Thanks - to Michael Iverson for reporting this issue.
    • -
  • Fixed a typo in the spelling of Coefficient throughout the AADynamicalTime.cpp - module. Thanks to Michael Iverson for reporting this issue.
    • -
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v1.54 (27 October 2012)

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  • Fixed a buffer initialization bug in PrintMoonPhase function in AAAtest.cpp. - This was resulting in the moon phase ASCII diagrams to not show correctly on - Unix terminals.
    • -
  • I now have a Ubuntu 12.10 VM setup which allows the code to be fully tested - on a Unix OS going forward. I am using the Code::Blocks IDE to provide a familiar - development experience for this Visual Studio veteran!
    • -
  • Fixed a transcription bug in CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion. - The correct coefficient for multiplying by T should have been 1.9637613 instead - of 1.19637613. In the worked example of 31.a from Meeus's book, he uses - the date June 24 2065. With this bug now eliminated the value returned is now - 94.34 degrees instead of 93.84 degrees for this date. Basically the incorrect - coefficient would have returned a value too small by 0.77 degrees for every - Julian century after the epoch J2000.0 = 2000 January 1.5 TD = JDE 2451545.0. - Thanks to Sudhakar Gumparthi for reporting this bug.
    • -
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v1.55 (4 August 2013)

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  • Updated copyright details
    • -
  • Updated the observed DeltaT values from - http://maia.usno.navy.mil/ser7/deltat.data - to 1st April 2013
    • -
  • Updated the predicted DeltaT values from - http://maia.usno.navy.mil/ser7/deltat.preds - to 1st January 2023
    • -
  • Fixed a transcription error in the third coefficient used to calculate the - L0 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the fifth coefficient used to calculate the - L2 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the second coefficient used to calculate - the L4 term for the ecliptic longitude of Mercury. Thanks to Isaac Clark for - reporting this issue.
    • -
  • Fixed a transcription error in the ninth coefficient used to calculate the - B0 term for the ecliptic latitude of Mercury. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the third coefficient used to calculate the - B0 term for the ecliptic latitude of Venus. Thanks to Isaac Clark for reporting - this issue. Spot tests indicate that this change only affected the ecliptic - latitude in the sixth decimal place.
    • -
  • Fixed a transcription error in the twenty first coefficient used to calculate - the L0 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the sixteenth coefficient used to calculate - the L1 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the second coefficient used to calculate - the B2 term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the third coefficient used to calculate the - B2 term for the ecliptic latitude of Mars. Thanks to Isaac Clark for reporting - this issue.
    • -
  • Fixed a transcription error in the thirty ninth coefficient used to calculate - the L0 term for the ecliptic longitude of Jupiter. Thanks to Isaac Clark for - reporting this issue.
    • -
  • Fixed a transcription error in the sixteenth coefficient used to calculate - the R1 term for the ecliptic radius vector of Jupiter. Thanks to Isaac Clark - for reporting this issue.
    • -
  • Fixed a transcription error in the twenty ninth coefficient used to calculate - the B2 term for the ecliptic latitude of Saturn. Thanks to Isaac Clark for reporting - this issue. Spot tests indicate that this change only affected the ecliptic - latitude in the twelfth decimal place.
    • -
  • Fixed a transcription error in the second coefficient used to calculate - the B0 term for the ecliptic latitude of Neptune. Thanks to Isaac Clark for - reporting this issue. Spot tests indicate that this change only affected the - ecliptic latitude in the sixth decimal place.
    • -
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v1.56 (8 September 2013)

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    -
  • Fixed a bug in the calculation of HeliocentricEclipticLongitude and HeliocentricEclipticLatitude - in CAAParabolic::Calculate. Thanks to Joe Novak for reporting this problem. -
    • -
  • Fixed a bug in the calculation of HeliocentricEclipticLongitude and HeliocentricEclipticLatitude - in CAANearParabolic::Calculate. Thanks to Joe Novak for reporting this problem. -
    • -
-

v1.57 (28 October 2013)

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  • Renamed the method CAAEquinoxesAndSolstices::SpringEquinox to NorthwardEquinox - to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson - for prompting this update.
    • -
  • Renamed the method CAAEquinoxesAndSolstices::AutumnEquinox to SouthwardEquinox - to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson - for prompting this update.
    • -
  • Renamed the method CAAEquinoxesAndSolstices::SummerSolstice to NorthernSolstice - to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson - for prompting this update.
    • -
  • Renamed the method CAAEquinoxesAndSolstices::WinterSolstice to SouthernSolstice - to avoid the northern hemisphere bias in the name. Thanks to Marius Gleeson - for prompting this update.
    • -
  • The method CAAEquinoxesAndSolstices::LengthOfSpring now takes a boolean - to indicate which hemisphere the observer is located in. Previously the code - assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this - update.
    • -
  • The method CAAEquinoxesAndSolstices::LengthOfSummer now takes a boolean - to indicate which hemisphere the observer is located in. Previously the code - assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this - update.
    • -
  • The method CAAEquinoxesAndSolstices::LengthOfAutumn now takes a boolean - to indicate which hemisphere the observer is located in. Previously the code - assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this - update.
    • -
  • The method CAAEquinoxesAndSolstices::LengthOfWinter now takes a boolean - to indicate which hemisphere the observer is located in. Previously the code - assumed a northern hemisphere bias. Thanks to Marius Gleeson for prompting this - update.
    • -
  • Updated the sample app to print out a table of information related to Equinoxes - and Solstices.
    • -
  • Addition of a CAADynamicalTime::TT2UTC method which converts from TT to - UTC.
    • -
  • Addition of a CAADynamicalTime::UTC2TT method which converts from UTC to - TT.
    • -
  • Addition of a CAADynamicalTime::TT2TAI method which converts from TT to - TAI.
    • -
  • Addition of a CAADynamicalTime::TAI2TT method which converts from TAI to - TT.
    • -
  • Addition of a CAADynamicalTime::TT2UT1 method which converts from TT to - UT1.
    • -
  • Addition of a CAADynamicalTime::UT12TT method which converts from UT1 to - TT.
    • -
  • Updated the observed DeltaT values from - http://maia.usno.navy.mil/ser7/deltat.data - to 1st September 2013.
    • -
  • Addition of a CAADynamicalTime::UT1MinusUTC method which returns UT1 - UTC. -
    • -
  • Fixed a number of GCC compiler warnings in AATest.cpp.
    • -
-

v1.58 (12 November 2014)

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    -
  • Updated copyright details.
    • -
  • Fixed two transcription bugs in the CAAPrecession::PrecessEquatorial method. - The"0.000344*T" term was incorrectly using "0.0000344*T" - when calculating "sigma" and the "0.000139*Tsquared" term - was incorrectly using "0.000138*Tsquared" when calculating "zeta". - Thanks to Erik Grosse for reporting this bug. The errors were so small that - the values from the worked example of 21.b from the book ended up giving the - same results. If a longer timespan was used for the example instead of the 28 - years then the errors would have been easier to spot with the incorrect terms.
    • -
  • Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2014.
    • -
  • Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024.
    • -
-

v1.59 (15 February 2015)

- -

v1.60 (29 March 2015)

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    -
  • Updated copyright details.
    • -
  • Updates to the html documentation to clarify the units used in some of - the CAACoordinateTransaction methods. Thanks to "Forrest" for reporting - these issues.
    • -
  • Fixed up some variable initializations around the use of modf. Thanks to - Arnaud Cueille for reporting this issue.
    • -
-

v1.61 (5 July 2015)

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  • U1 (the Saturnicentric longitude of the Sun) and U2 (the Saturnicentic - longitude of the Earth) are now returned in CAASaturnRings::Calculate.
    • -
  • Fixed a bug in the calculation of CAASaturnRingDetails::DeltaU in the - method CAASaturnRings::Calculate where for some date ranges the value would - end up greater than 180 degrees. The book indicates that this value should - never be more than 7 degrees. The issue was related to subtraction of two - angles to obtain an absolute elongation value between the two. By definition - this value should never be greater than 180 degrees. The bug occurred - between the dates of June 3rd 2024 and July 28th 2024 and December 1st 2024 - and February 12 2025. Thanks to Frank Vergeest for reporting this bug.
    • -
  • Updated the observed DeltaT values from - http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2015.
    • -
-

v1.62 (12 July 2015)

-
    -
  • Fixed a bug in CAAElliptical::Calculate when calculating values for the - position of the Sun. The values returned by this method are now consistent - with those returned using the methods of the CAASun class, the planetarium - program SkyMap and the JPL HORIZON's web site. The errors were of the order - of 4 arc seconds in declination and 1.5 seconds of Right ascension for - modern times. I have also taken the opportunity to optimize the code in this - method. With these changes the errors are now down to 0.5 seconds of an - angle in declination and right ascension. Thanks to Marko Peric for - reporting this bug.
    • -
-

v1.63 (16 September 2015)

-
    -
  • AA+ now includes complete support for the VSOP87 theory (ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/) - in addition to the truncated VSOP87 theory as presented in Meeus's book. - This theory is used throughout the AA+ codebase to calculate the positions - of the planets and the Sun. The full VSOP87 theory is implemented by the new - AAVSOP*.cpp/h files included in the AA+ download. For a good introduction to - VSOP87, please see - https://en.wikipedia.org/wiki/VSOP_%28planets%29. The classes in AA+ to - support VSOP87 have been machine generated by parsing the VSOP87 files with - a custom C++ app to generate the new header and source modules. The results - have been comprehensively spot checked against the VSOP87 test values - provided in the "vsop87.chk" file in the VSOP87 files. Each VSOP theory - (VSOP87, VSOP87A, VSOP87B, VSOP87C, VSOP87D, & VSOP87E) for each of the - objects (Sun, Mercury, Venus, Earth, Earth-Moon Barycenter, Mars, Jupiter, - Saturn, Uranus & Neptune) are implemented in separate header and source - modules so client applications can decide which modules to include. The - existing AA+ codebase will now optionally call into these new modules as - required. With this addition AA+ has gone from 840 Kilobytes and 16 thousand - lines of C++ source code library to 20 Megabytes and 291 thousand lines of a - C++ source code library. In one fell swoop I have almost doubled the amount - of open source code I distribute on my web site. Please note that if you - want to compile AA+ to not pull in a dependency on the new and quite large - VSOP87 modules, then you can define the preprocessor value - "AAPLUS_VSOP87_NO_HIGH_PRECISION" in your project. This will revert the AA+ - classes to just depend on the truncated VSOP87 theory as presented in - Meeus's book.
    • -
  • Updated the CAACoordinateTransformation::MapTo0To360Range to use - the fmod C runtime function.
    • -
  • Updated the CAACoordinateTransformation::MapTo0To24Range to use - the fmod C runtime function.
    • -
  • Added new CAACoordinateTransformation::MapTo0To2PIRange - and MapToMinus90To90Range methods.
    • -
  • CAAAberration::EclipticAberration, EarthVelocity and - EquatorialAberration now include a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAEarth::EclipticLongitude, EclipticLatitude, RadiusVector, - EclipticLongitudeJ2000 & EclipticLatitudeJ2000 now include a "bool - bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAElliptical::Calculate now includes a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAEquationOfTime::Calculate now includes a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • All the methods in CAAEquinoxesAndSolstices now include a "bool - bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAGalileanMoons::Calculate now includes a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAJupiter::EclipticLongitude, EclipticLatitude & RadiusVector now - include a "bool bHighPrecision" parameter which if set to true means the - code uses the full VSOP87 theory rather than the truncated theory as - presented in Meeus's book.
    • -
  • CAAMars::EclipticLongitude, EclipticLatitude & RadiusVector now include - a "bool bHighPrecision" parameter which if set to true means the code uses - the full VSOP87 theory rather than the truncated theory as presented in - Meeus's book.
    • -
  • CAAMercury::EclipticLongitude, EclipticLatitude & RadiusVector now - include a "bool bHighPrecision" parameter which if set to true means the - code uses the full VSOP87 theory rather than the truncated theory as - presented in Meeus's book.
    • -
  • CAANearParabolic::Calculate now includes a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAANeptune::EclipticLongitude, EclipticLatitude & RadiusVector now - include a "bool bHighPrecision" parameter which if set to true means the - code uses the full VSOP87 theory rather than the truncated theory as - presented in Meeus's book.
    • -
  • CAAParabolic::Calculate now includes a "bool bHighPrecision" parameter - which if set to true means the code uses the full VSOP87 theory rather than - the truncated theory as presented in Meeus's book.
    • -
  • CAAPhysicalJupiter::Calculate now includes a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAPhysicalMars::Calculate now includes a "bool bHighPrecision" parameter - which if set to true means the code uses the full VSOP87 theory rather than - the truncated theory as presented in Meeus's book.
    • -
  • CAAPhysicalMoon::CalculateSelenographicPositionOfSun, AltitudeOfSun, - TimeOfSunrise and TimeOfSunset methods now include a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAPhysicalSun::Calculate now includes a "bool bHighPrecision" parameter - which if set to true means the code uses the full VSOP87 theory rather than - the truncated theory as presented in Meeus's book.
    • -
  • CAASaturn::EclipticLongitude, EclipticLatitude & RadiusVector now - include a "bool bHighPrecision" parameter which if set to true means the - code uses the full VSOP87 theory rather than the truncated theory as - presented in Meeus's book.
    • -
  • CAASaturnMoons::Calculate now includes a "bool bHighPrecision" parameter - which if set to true means the code uses the full VSOP87 theory rather than - the truncated theory as presented in Meeus's book.
    • -
  • CAASaturnRings::Calculate now includes a "bool bHighPrecision" parameter - which if set to true means the code uses the full VSOP87 theory rather than - the truncated theory as presented in Meeus's book.
    • -
  • All the methods in CAASun now include a "bool bHighPrecision" - parameter which if set to true means the code uses the full VSOP87 theory - rather than the truncated theory as presented in Meeus's book.
    • -
  • CAAUranus::EclipticLongitude, EclipticLatitude & RadiusVector now - include a "bool bHighPrecision" parameter which if set to true means the - code uses the full VSOP87 theory rather than the truncated theory as - presented in Meeus's book.
    • -
  • CAAVenus::EclipticLongitude, EclipticLatitude & RadiusVector now include - a "bool bHighPrecision" parameter which if set to true means the code uses - the full VSOP87 theory rather than the truncated theory as presented in - Meeus's book.
    • -
  • Verfied the code compiles cleanly on Visual C++ 2015.
    • -
  • Updated the observed DeltaT values from - - http://maia.usno.navy.mil/ser7/deltat.data to 1st July 2015.
    • -
  • Updated the predicted DeltaT values from - - http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2025.
    • -
-

 

-

 

-

 

-

Class Framework Reference

-

The framework consists of the following classes:

-

 

-

CAAAberration

-

CAAAngularSeparation

-

CAABinaryStar

-

CAACoordinateTransformation

-

CAADate

-

CAADiameters

-

CAADynamicalTime

-

CAAEarth

-

CAAEaster

-

CAAEclipses

-

CAAEclipticalElements

-

CAAElementsPlanetaryOrbit

-

CAAElliptical

-

CAAEquationOfTime

-

CAAEquinoxesAndSolstices

-

CAAFK5

-

CAAGalileanMoons

-

CAAGlobe

-

CAAIluminatedFraction

-

CAAInterpolate

-

CAAJewishCalendar

-

CAAJupiter

-

CAAKepler

-

CAAMars

-

CAAMercury

-

CAAMoon

-

CAAMoonIlluminatedFraction

-

CAAMoonMaxDeclinations

-

CAAMoonNodes

-

CAAMoonPerigeeApogee

-

CAAMoonPhases

-

CAAMoslemCalendar

-

CAANearParabolic

-

CAANeptune

-

CAANodes

-

CAANutation

-

CAAParabolic

-

CAAParallactic

-

CAAParallax

-

CAAPhysicalJupiter

-

CAAPhysicalMars

-

CAAPhysicalMoon

-

CAAPhysicalSun

-

CAAPlanetaryPhenomena

-

CAAPlanetPerihelionAphelion

-

CAAPluto

-

CAAPrecession

-

CAARefraction

-

CAARiseTransitSet

-

CAASaturn

-

CAASaturnMoons

-

CAASaturnRings

-

CAASidereal

-

CAAStellarMagnitudes

-

CAASun

-

CAAUranus

-

CAAVenus

-

CAAVSOP87_EMB

-

CAAVSOP87_Jupiter

-

CAAVSOP87_Mars

-

CAAVSOP87_Mercury

-

CAAVSOP87_Neptune

-

CAAVSOP87_Saturn

-

CAAVSOP87_Uranus

-

CAAVSOP87_Venus

-

CAAVSOP87A_Earth

-

CAAVSOP87A_EMB

-

CAAVSOP87A_Jupiter

-

CAAVSOP87A_Mars

-

CAAVSOP87A_Mercury

-

CAAVSOP87A_Neptune

-

CAAVSOP87A_Saturn

-

CAAVSOP87A_Uranus

-

CAAVSOP87A_Venus

-

CAAVSOP87B_Earth

-

CAAVSOP87B_Jupiter

-

CAAVSOP87B_Mars

-

CAAVSOP87B_Mercury

-

CAAVSOP87B_Neptune

-

CAAVSOP87B_Saturn

-

CAAVSOP87B_Uranus

-

CAAVSOP87B_Venus

-

CAAVSOP87C_Earth

-

CAAVSOP87C_Jupiter

-

CAAVSOP87C_Mars

-

CAAVSOP87C_Mercury

-

CAAVSOP87C_Neptune

-

CAAVSOP87C_Saturn

-

CAAVSOP87C_Uranus

-

CAAVSOP87C_Venus

-

CAAVSOP87D_Earth

-

CAAVSOP87D_Jupiter

-

CAAVSOP87D_Mars

-

CAAVSOP87D_Mercury

-

CAAVSOP87D_Neptune

-

CAAVSOP87D_Saturn

-

CAAVSOP87D_Uranus

-

CAAVSOP87D_Venus

-

CAAVSOP87E_Earth

-

CAAVSOP87E_Jupiter

-

CAAVSOP87E_Mars

-

CAAVSOP87E_Mercury

-

CAAVSOP87E_Neptune

-

CAAVSOP87E_Saturn

-

CAAVSOP87E_Sun

-

CAAVSOP87E_Uranus

-

CAAVSOP87E_Venus

-

 

-

 

-

CAAberration

-

This class provides for calculation of the effects of aberration. This refers -to Chapter 23 in the book.

-

 

-

Functions this class provides include:

-

EarthVelocity

-

EclipticAberration

-

EquatorialAberration

-

 

-

CAAAberration::EarthVelocity

-

static CAA3DCoordinate EarthVelocity(double JD, -bool bHighPrecision)

-

Return Value

-

3D rectangular heliocentric equatorial velocity of the Earth based on the fixed -equator and equinox of FK5 for the epoch J2000.0. The units of each coordinate -returned are in 10 to the power of -8 astronomical units per day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAAberration::EclipticAberration

-

static CAA2DCoordinate EclipticAberration(double Lambda, -double Beta, double JD, -bool bHighPrecision)

-

Return Value

-

Returns the correction due to aberration. The X value will contain the ecliptic -longitude correction in degrees and Y will contain the ecliptic latitude correction -in degrees.

-

Parameters

-

Lambda The ecliptic longitude in degrees.

-

Beta The ecliptic latitude in degrees.

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAAberration::EquatorsialAberration

-

static CAA2DCoordinate EquatorialAberration(double Alpha, -double Delta, double JD, -bool bHighPrecision)

-

Return Value

-

Returns the correction due to aberration. The X value will contain the right -ascension correction expressed as an hour angle and Y will contain the declination -correction in degrees.

-

Parameters

-

Alpha The right ascension expressed as an hour angle.

-

Delta The declination in degrees.

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAAngularSeparation

-

This class provides the algorithms which obtain various separation distances -between celestial objects. This refers to Chapter 17, 19 & 20 in the book.

-

 

-

Functions this class provides include:

-

Separation

-

PositionAngle

-

DistanceFromGreatArc

-

SmallestCircle

-

 

-

CAAAngularSeparation::Separation

-

static double Separation(double Alpha1, double Delta1, -double Alpha2, double Delta2)

-

Return Value

-

Returns the distance between the two positions in degrees.

-

Parameters

-

Alpha1 The first right ascension expressed as an hour angle.

-

Delta1 The first declination in degrees

-

Alpha2 The second right ascension expressed as an hour angle.

-

Delta2 The second declination in degrees

-

 

-

CAAAngularSeparation::PositionAngle

-

static double PositionAngle(double Alpha1, double Delta1, -double Alpha2, double Delta2)

-

Return Value

-

Returns the position angle of (Alpha1, Delta1) relative to (Alpha2, Delta2) in -degrees.

-

Parameters

-

Alpha1 The first right ascension expressed as an hour angle.

-

Delta1 The first declination in degrees

-

Alpha2 The second right ascension expressed as an hour angle.

-

Delta2 The second declination in degrees

-

 

-

CAAAngularSeparation::DistanceFromGreatArc

-

static double DistanceFromGreatArc(double Alpha1, double -Delta1, double Alpha2, double Delta2, double -Alpha3, double Delta3)

-

Return Value

-

Returns the distance of (Alpha3, Delta3) to the great circle (Alpha1, Delta1) -- (Alpha2, Delta2) in degrees.

-

Parameters

-

Alpha1 The first right ascension expressed as an hour angle.

-

Delta1 The first declination in degrees

-

Alpha2 The second right ascension expressed as an hour angle.

-

Delta2 The second declination in degrees

-

Alpha3 The third right ascension expressed as an hour angle.

-

Delta3 The third declination in degrees

-

 

-

CAAAngularSeparation::SmallestCircle

-

static double SmallestCircle(double Alpha1, double Delta1, -double Alpha2, double Delta2, double Alpha3, -double Delta3, bool& bType1)

-

Return Value

-

Returns the diameter of the smallest circle encompassing the 3 points in degrees.

-

Parameters

-

Alpha1 The first right ascension expressed as an hour angle.

-

Delta1 The first declination in degrees

-

Alpha2 The second right ascension expressed as an hour angle.

-

Delta2 The second declination in degrees

-

Alpha3 The third right ascension expressed as an hour angle.

-

Delta3 The third declination in degrees

-

bType1 Upon return will be true if the smallest circle is of type 1, otherwise -false, implying smallest circle is of type 2.

-

 

-

 

-

CAABinaryStar

-

This class provides for calculation of the position of a Binary Star system. -This refers to Chapter 57 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

ApparentEccentricity

-

 

-

CAABinaryStar::Calculate

-

static CAABinaryStarDetails Calculate(double t, double -P, double T, double e, double a, -double i, double omega, double w)

-

Return Value

-

A class containing

-

r The radius vector of the component in arc seconds of a degree.

-

Theta The apparent position angle in degrees.

-

Rho The angular separation between the two components arc seconds of a -degree.

-

Parameters

-

t The time given in years and decimals to perform the calculation for

-

P The period of revolution expressed in mean solar years.

-

T The time of periastron passage given in years and decimals.

-

e Eccentricity of the true orbit.

-

a The semi major axis expressed in seconds of a degree.

-

i The inclination of the plane of the true orbit in degrees to the plane -at right angles to the line of sight.

-

omega The position angle of the ascending node in degrees

-

w The longitude of the periastron in degrees.

-

 

-

CAABinaryStar::ApparentEccentricty

-

static double ApparentEccentricity(double e, -double i, double w)

-

Return Value

-

The apparent eccentricity of the binary star orbit

-

Parameters

-

e Eccentricity of the true orbit.

-

i The inclination of the plane of the true orbit in degrees to the plane -at right angles to the line of sight.

-

w The longitude of the periastron in degrees.

-

 

-

 

-

CAACoordinateTransformation

-

This class provides for the transformations of the coordinates as well as helper -angle methods. This refers to Chapter 13 and parts of Chapter 1 in the book.

-

 

-

Functions this class provides include:

-

Equatorial2Ecliptic

-

Ecliptic2Equatorial

-

Equatorial2Horizontal

-

Horizontal2Equatorial

-

Equatorial2Galactic

-

Galactic2Equatorial

-

PI

-

DegreesToRadians

-

RadiansToDegrees

-

RadiansToHours

-

HoursToRadians

-

HoursToDegrees

-

DegreesToHours

-

DMSToDegrees

-

MapTo0To360Range

-

MapTo0To24Range

-

MapTo0To2PIRange

-

MapToMinus90To90Range

-

 

-

-CAACoordinateTransformation::Equatorial2Ecliptic

-

static CAA2DCoordinate Equatorial2Ecliptic(double Alpha, double -Delta, double Epsilon)

-

Return Value

-

Returns the converted ecliptic coordinates in a CAA2DCoordinate class. The x -value in the class corresponds to the ecliptic longitude in degrees and the y value -corresponds to the ecliptic latitude in degrees.

-

Parameters

-

Alpha The right ascension expressed as decimal hours.

-

Delta The declination in degrees.

-

Epsilon The obliquity of the ecliptic in degrees.

-

Remarks

-

The transformation of coordinates from Equatorial to Ecliptic. This refers to -algorithm 13.1 and 13.2 on page 93.

-

 

-

-CAACoordinateTransformation::Ecliptic2Equatorial

-

static CAA2DCoordinate Ecliptic2Equatorial(double Lambda, double -Beta, double Epsilon)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the right -ascension in decimal hours and the y -value corresponds to the declination in degrees.

-

Parameters

-

Lambda The ecliptic longitude in degrees.

-

Beta The ecliptic latitude in degrees.

-

Epsilon the obliquity of the ecliptic in degrees.

-

Remarks

-

The transformation of coordinates from Ecliptic to Equatorial. This refers to -algorithm 13.3 and 13.4 on page 93.

-

 

-

-CAACoordinateTransformation::Equatorial2Horizontal

-

static CAA2DCoordinate Equatorial2Horizontal(double LocalHourAngle, -double Delta, double Latitude)

-

Return Value

-

Returns the converted horizontal coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the azimuth in degrees and the y value corresponds -to the altitude in degrees.

-

Parameters

-

LocalHourAngle The local hour angle in -decimal hours, measured westwards from the South. To convert a equatorial -right ascension to a local hour angle you can use the formula as mentioned on -page 92: Local hour angle -(H) = apparent sidereal time at Greenwich (theta) - observer's longitude (L, -positive west, negative east from Greenwich) - right ascension. You should of -course make sure that all the values used in this formula are expressed as -decimal hours before applying the formula (in particular the observer's -longitude "L" value).

-

Delta The declination in degrees.

-

Latitude The standard latitude of the position in degrees.

-

Remarks

-

The transformation of coordinates from Equatorial to Horizontal. This refers -to algorithm 13.5 and 13.6 on page 93.

-

 

-

-CAACoordinateTransformation::Horizontal2Equatorial

-

static CAA2DCoordinate Horizontal2Equatorial(double A, double -h, double Latitude)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the local hour -angle in decimal hours and the y -value corresponds to the declination in degrees.

-

Parameters

-

A The azimuth in degrees.

-

h The altitude in degrees

-

Latitude The standard latitude of the position in degrees.

-

Remarks

-

The transformation of coordinates from Horizontal to Equatorial. This refers -to the two algorithms on the top of page 94. To convert the returned local hour -angle back to a right ascension in decimal hours you can use the formula as -mentioned on page 92: right ascension (alpha) = apparent sidereal time at -Greenwich (theta) - Local hour angle (H) - observer's longitude (L, positive -west, negative east from Greenwich). You should of course make sure that all the -values used in this formula are expressed as decimal hours before applying the -formula (in particular the observer's longitude "L" value).

-

 

-

-CAACoordinateTransformation::Equatorial2Galactic

-

static CAA2DCoordinate Equatorial2Galactic(double Alpha, double -Delta)

-

Return Value

-

Returns the converted galactic coordinates in a CAA2DCoordinate class. The x -value in the class corresponds to the galactic longitude in degrees and the y value -corresponds to the galactic latitude in degrees.

-

Parameters

-

Alpha The right ascension in decimal hours.

-

Delta The declination in degrees.

-

Remarks

-

The transformation of coordinates from Equatorial to Galactic. This refers to -algorithm 13.7 and 13.8 on page 94.

-

 

-

-CAACoordinateTransformation::Galactic2Equatorial

-

static CAA2DCoordinate Galactic2Equatorial(double l, double -b)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the right -ascension in decimal hours and the y -value corresponds to the declination in degrees.

-

Parameters

-

l  The galactic longitude expressed in degrees.

-

b The galactic latitude expressed in degrees.

-

Remarks

-

The transformation of coordinates from Galactic to Equatorial. This refers to -the last two algorithms on page 94.

-

 

-

CAACoordinateTransformation::PI

-

static double PI()

-

Return Value

-

Returns the constant value of pi i.e 3.1415926...

-

 

-

CAACoordinateTransformation::DegreesToRadians

-

static double DegreesToRadians(double Degrees)

-

Return Value

-

Returns the value in radians which was converted from degrees.

-

Parameters

-

Degrees The angular value to convert measured in degrees.

-

 

-

CAACoordinateTransformation::RadiansToDegrees

-

static double RadiansToDegrees(double Radians)

-

Return Value

-

Returns the value in degrees which was converted from radians.

-

Parameters

-

Radians The angular value to convert measured in radians.

-

 

-

CAACoordinateTransformation::RadiansToHours

-

static double RadiansToHours(double Radians)

-

Return Value

-

Returns the value expressed as an hour angle which was converted from radians. -

-

Parameters

-

Radians The angular value to convert measured in radians.

-

 

-

CAACoordinateTransformation::HoursToRadians

-

static double HoursToRadians(double Hours)

-

Return Value

-

Returns the value in radians which was converted from hours.

-

Parameters

-

Hours The numeric value to convert measured in hours.

-

 

-

CAACoordinateTransformation::HoursToDegrees

-

static double HoursToDegrees(double Hours)

-

Return Value

-

Returns the value in degrees which was converted from hours.

-

Parameters

-

Hours The numeric value to convert measured in hours.

-

 

-

CAACoordinateTransformation::DegreesToHours

-

static double DegreesToHours(double Degrees)

-

Return Value

-

Returns the value in hours which was converted from degrees.

-

Parameters

-

Degrees The angular value to convert measured in degrees.

-

 

-

CAACoordinateTransformation::DMSToDegrees

-

DMSToDegrees(double Degrees, double Minutes, double -Seconds, bool bPositive = true)

-

Return Value

-

Returns the value in degrees which was converted from degrees, minutes and seconds. -

-

Parameters

-

Degrees  The degree part of the angular value to convert.

-

Minutes The minute part of the angular value to convert.

-

Seconds The second part of the angular value to convert.

-

bPositive true if the input value corresponds to a non-negative value -with false implying the value is positive

-

Remarks

-

To convert the angle 21° 44' 07" you would use DMSToDegrees(21, 44, -7, true).

-

To convert the angle -12° 47' 22" you would use DMSToDegrees(12, 47, -22, false) or DMSToDegrees(-12, -47, -22, true).

-

To convert the angle -0° 32' 41" you must use DMSToDegrees(0, 32, 41, -false).

-

 

-

CAACoordinateTransformation::MapTo0To360Range

-

static double MapTo0To360Range(double Degrees)

-

Return Value

-

Maps an arbitrary angular value to the range 0 to 360. i.e. inputting the value --2 will return a value of 258.

-

Parameters

-

Degrees The angular value.

-

 

-

CAACoordinateTransformation::MapTo0To24Range

-

static double MapTo0To24Range(double HourAngle)

-

Return Value

-

Maps an arbitrary value to the range 0 to 24. i.e. inputting the value -2 will return a value of 22.

-

Parameters

-

HourAngle The hour angle.

-

 

-

CAACoordinateTransformation::MapTo0To2PIRange

-

static double MapTo0To2PIRange(double Angle)

-

Return Value

-

Maps an arbitrary value to the range 0 to 2*PI. i.e. inputting the value -1 will return a value of -5.2831853071795862.

-

Parameters

-

Angle The angle in radians.

-

 

-

CAACoordinateTransformation::MapToMinus90To90Range

-

static double MapToMinus90To90Range(double Degrees)

-

Return Value

-

Maps an arbitrary angular value to the range -90 to 90.

-

Parameters

-

Degrees The angular value.

-

 

-

 

-

CAADate

-

This class provides the algorithms which convert between the Gregorian and Julian -calendars and the Julian Day. This refers to Chapter 7 and parts of Chapter 9 in -the book.

-

 

-

Functions this class provides include:

-

CAADate

-

IsLeap

-

Julian

-

operator double

-

Day

-

Month

-

Year

-

Hour

-

Minute

-

Second

-

Set

-

SetInGregorianCalendar

-

InGregorianCalendar

-

Get

-

DayOfWeek

-

DayOfYear

-

DaysInMonth

-

DaysInYear

-

DayOfYearToDayAndMonthAndDate

-

JulianToGregorian

-

GregorianToJulian

-

Leap

-

FractionalYear

-

 

-

CAADate::CAADate

-

CAADate()

-

CAADate(long Year, long Month, double Day, -bool bGregorianCalendar)

-

CAADate(long Year, long Month, double Day, -double Hour, double Minute, double Second, -bool bGregorianCalendar)

-

CAADate(double JD, bool bGregorianCalendar)

-

Parameters

-

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

-

Month The month of the year (1 for January to 12 for December).

-

Day The day of the month (Can include decimals).

-

Hour The hour (Can include decimals).

-

Minute The minute (Can include decimals).

-

Second The seconds (Can include decimals).

-

JD The Julian day including decimals.

-

bGregorianCalendar true to imply a date in the Gregorian Calendar, false -means use the Julian Calendar.

-

Remarks

-

Constructs a date given a variety of parameters.

-

 

-

CAADate::IsLeap

-

static bool IsLeap(long Year, bool bGregorianCalendar)

-

Return Value

-

true if the specified year is leap otherwise false.

-

Parameters

-

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

-

bGregorianCalendar true to imply a date in the Gregorian Calendar, false -means use the Julian Calendar.

-

 

-

CAADate::Julian

-

double Julian() const

-

Return Value

-

Returns the underlying Julian Day including decimals.

-

 

-

CAADate::operator double

-

operator double() const

-

Return Value

-

Returns the underlying Julian Day including decimals.

-

 

-

CAADate::Day

-

long Day() const

-

Return Value

-

Returns the day of the month this date represents.

-

 

-

CAADate::Month

-

long Month() const

-

Return Value

-

Returns the month (1 - 12) this date represents.

-

 

-

CAADate::Year

-

long Year() const

-

Return Value

-

Returns the year this date represents.

-

 

-

CAADate::Hour

-

long Hour() const

-

Return Value

-

Returns the hour this date represents.

-

 

-

CAADate::Minute

-

long Minute() const

-

Return Value

-

Returns the minute this date represents.

-

 

-

CAADate::Second

-

double Second() const

-

Return Value

-

Returns the seconds this date represents.

-

 

-

CAADate::Set

-

void Set(long Year, long Month, double -Day, double Hour, double Minute, double -Second, bool bGregorianCalendar)

-

void Set(double JD, bool bGregorianCalendar)

-

Parameters

-

Year The year. (Years are counted astronomically i.e. 1 BC = Year 0)

-

Month The month of the year (1 for January to 12 for December).

-

Day The day of the month (Can include decimals).

-

Hour The hour (Can include decimals).

-

Minute The minute (Can include decimals).

-

Second The seconds (Can include decimals).

-

JD The Julian day including decimals

-

bGregorianCalendar true to imply a date in the Gregorian Calendar, false -means use the Julian Calendar.

-

Remarks

-

Allows the date to be modified after construction.

-

 

-

CAADate::SetInGregorianCalendar

-

void SetInGregorianCalendar(bool bGregorianCalendar)

-

Parameters

-

bGregorianCalendar true to imply a date in the Gregorian Calendar, false -means use the Julian Calendar.

-

Remarks

-

Allows the date's calendar type to be changed after construction.

-

 

-

CAADate::InGregorianCalendar

-

bool InGregorianCalendar() const

-

Return Value

-

Returns true if this date is in the Gregorian calendar, false means the Julian -Calendar.

-

 

-

CAADate::Get

-

void Get(long& Year, long& Month, long& -Day, long& Hour, long& Minute, -double& Second)

-

Parameters

-

Year Upon return will contain the year. (Years are counted astronomically -i.e. 1 BC = Year 0)

-

Month Upon return will contain the month of the year (1 for January to -12 for December).

-

Day Upon return will contain the day of the month.

-

Hour Upon return will contain the hour.

-

Minute Upon return will contain the minute.

-

Second Upon return will contain the seconds (Can include decimals).

-

Remarks

-

Allows the date parts to be retrieved.

-

 

-

CAADate::DayOfWeek

-

DAY_OF_WEEK DayofWeek() const

-

Return Value

-

Returns an enum which identifies which day of the week this date represents.

-

 

-

CAADate::DayOfYear

-

double DayofYear() const

-

Return Value

-

Returns the day of year (including decimals) this date represents.

-

 

-

CAADate::DaysInMonth

-

long DaysInMonth() const

-

static DaysInMonth(long Month, bool bLeap)

-

Return Value

-

Returns the total number of days in the month (28 - 31) which this date represents. -The static version of the function can be used if you do not want to construct a -CAADate instance to do this test.

-

 

-

CAADate::DaysInYear

-

long DaysInYear() const

-

Return Value

-

Returns the total number of days in the year (365 or 366) which this date represents.

-

 

-

CAADate::DayOfYearToDayAndMonth

-

static DayOfYearToDayAndMonth(long DayOfYear, bool -bLeap, long& DayOfMonth, long& Month)

-

Parameters

-

DayOfYear The day of the year where 1st of January is 1 going up to 365 -or 366 for 31st of December

-

bLeap true if the year being considered is a leap year, otherwise false.

-

DayOfMonth Upon return will contain the day of the month.

-

Month Upon return will contain the month.

-

 

-

CAADate::JulianToGregorian

-

static CAACalendarDate JulianToGregorian(long Year, long -Month, long Day)

-

Return Value

-

A class containing

-

Year The year in the Gregorian Calendar. (Years are counted astronomically -i.e. 1 BC = Year 0)

-

Month The month of the year in the Gregorian Calendar (1 for January to -12 for December).

-

Day The day of the month in the Gregorian Calendar.

-

Parameters

-

Year The year in the Julian Calendar to convert. (Years are counted astronomically -i.e. 1 BC = Year 0)

-

Month The month of the year in the Julian Calendar (1 for January to 12 -for December).

-

Day The day of the month in the Julian Calendar.

-

Remarks

-

Converts a calendrical date expressed in the Julian Calendar to the equivalent -date in the Gregorian Calendar. It is assumed that the adoption of the Gregorian -Calendar occurred in 1582.

-

 

-

CAADate::GregorianToJulian

-

static CAACalendarDate GregorianToJulian(long Year, long -Month, long Day)

-

Return Value

-

A class containing

-

Year The year in the Julian Calendar. (Years are counted astronomically -i.e. 1 BC = Year 0)

-

Month The month of the year in the Julian Calendar (1 for January to 12 -for December).

-

Day The day of the month in the Julian Calendar.

-

Parameters

-

Year The year in the Gregorian Calendar to convert. (Years are counted -astronomically i.e. 1 BC = Year 0)

-

Month The month of the year in the Gregorian Calendar (1 for January to -12 for December).

-

Day The day of the month in the Gregorian Calendar.

-

Remarks

-

Converts a calendrical date expressed in the Gregorian Calendar to the equivalent -date in the Julian Calendar.

-

 

-

CAADate::Leap

-

bool Leap() const

-

Return Value

-

true if the year which this date represents is leap otherwise false.

-

 

-

CAADate::FractionalYear

-

double FractionalYear() const

-

Return Value

-

Returns the years with decimals this date represents e.g. the middle of the year -2000 would be returned as 2000.5.

-

 

-

 

-

CAADiameters

-

This class provides the algorithms for the semi diameters of the Sun, Moon, Planets -and Asteroids. This refers to Chapter 55 in the book.

-

 

-

Functions this class provides include:

-

SunSemidiameterA

-

MercurySemidiameterA

-

VenusSemidiameterA

-

MarsSemidiameterA

-

JupiterEquatorialSemidiameterA

-

JupiterPolarSemidiameterA

-

SaturnEquatorialSemidiameterA

-

SaturnPolarSemidiameterA

-

ApparentSaturnPolarSemidiameterA

-

UranusSemidiameterA

-

NeptuneSemidiameterA

-

MercurySemidiameterB

-

VenusSemidiameterB

-

MarsSemidiameterB

-

JupiterEquatorialSemidiameterB

-

JupiterPolarSemidiameterB

-

SaturnEquatorialSemidiameterB

-

SaturnPolarSemidiameterB

-

ApparentSaturnPolarSemidiameterB

-

UranusSemidiameterB

-

NeptuneSemidiameterB

-

PlutoSemidiameterB

-

GeocentricMoonSemidiameter

-

TopocentricMoonSemidiameter

-

AsteroidDiameter

-

ApparentAsteroidDiameter

-

 

-

CAADiameters::SunSemidiameterA

-

static double SunSemidiameterA(double Delta)

-

Return Value

-

The suns semi diameter in arc seconds.

-

Parameters

-

Delta The distance to the Sun in astronomical units.

-

 

-

CAADiameters::MercurySemidiameterA

-

static double MercurySemidiameterA(double Delta)

-

Return Value

-

Mercury's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Mercury in astronomical units.

-

 

-

CAADiameters::VenusSemidiameterA

-

static double VenusSemidiameterA(double Delta)

-

Return Value

-

Venus's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Venus in astronomical units.

-

 

-

CAADiameters::MarsSemidiameterA

-

static double MarsSemidiameterA(double Delta)

-

Return Value

-

Mars's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Mars in astronomical units.

-

 

-

CAADiameters::JupiterEquatorialSemidiameterA

-

static double JupiterEquatorialSemidiameterA(double Delta)

-

Return Value

-

Jupiter's equatorial semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Jupiter in astronomical units.

-

 

-

CAADiameters::JupiterPolarSemidiameterA

-

static double JupiterPolarSemidiameterA(double Delta)

-

Return Value

-

Jupiter's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Jupiter in astronomical units.

-

 

-

CAADiameters::SaturnEquatorialSemidiameterA

-

static double SaturnEquatorialSemidiameterA(double Delta)

-

Return Value

-

Saturn's equatorial semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

 

-

CAADiameters::SaturnPolarSemidiameterA

-

static double SaturnPolarSemidiameterA(double Delta)

-

Return Value

-

Saturn's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

 

-

CAADiameters::ApparentSaturnPolarSemidiameterA

-

static double ApparentSaturnPolarSemidiameterA(double Delta, -double B)

-

Return Value

-

Saturn's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

B The Saturnicentric latitude of the Earth in degrees.

-

Remarks

-

Due to the large inclinations of Saturn, the apparent polar semi diameter can -be different to the true polar semi diameter.

-

 

-

CAADiameters::UranusSemidiameterA

-

static double UranusSemidiameterA(double Delta)

-

Return Value

-

Uranus's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Uranus in astronomical units.

-

 

-

CAADiameters::NeptuneSemidiameterA

-

static double NeptuneSemidiameterA(double Delta)

-

Return Value

-

Neptune's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Neptune in astronomical units.

-

 

-

CAADiameters::MercurySemidiameterB

-

static double MercurySemidiameterB(double Delta)

-

Return Value

-

Mercury's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Mercury in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::VenusSemidiameterB

-

static double VenusSemidiameterB(double Delta)

-

Return Value

-

Venus's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Venus in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::MarsSemidiameterB

-

static double MarsSemidiameterB(double Delta)

-

Return Value

-

Mars's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Mars in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::JupiterEquatorialSemidiameterB

-

static double JupiterEquatorialSemidiameterB(double Delta)

-

Return Value

-

Jupiter's equatorial semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Jupiter in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::JupiterPolarSemidiameterB

-

static double JupiterPolarSemidiameterB(double Delta)

-

Return Value

-

Jupiter's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Jupiter in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::SaturnEquatorialSemidiameterB

-

static double SaturnEquatorialSemidiameterB(double Delta)

-

Return Value

-

Saturn's equatorial semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::SaturnPolarSemidiameterB

-

static double SaturnPolarSemidiameterB(double Delta)

-

Return Value

-

Saturn's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::ApparentSaturnPolarSemidiameterB

-

static double ApparentSaturnPolarSemidiameterB(double Delta, -double B)

-

Return Value

-

Saturn's polar semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Saturn in astronomical units.

-

B The Saturnicentric latitude of the Earth in degrees.

-

Remarks

-

Due to the large inclinations of Saturn, the apparent polar semi diameter can -be different to the true polar semi diameter. Uses the updated Astronomical Almanac -for 1984 size.

-

 

-

CAADiameters::UranusSemidiameterB

-

static double UranusSemidiameterB(double Delta)

-

Return Value

-

Uranus's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Uranus in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::NeptuneSemidiameterB

-

static double NeptuneSemidiameterB(double Delta)

-

Return Value

-

Neptune's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Neptune in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::PlutoSemidiameterB

-

static double PlutoSemidiameterB(double Delta)

-

Return Value

-

Pluto's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to Pluto in astronomical units.

-

Remarks

-

Uses the updated Astronomical Almanac for 1984 size.

-

 

-

CAADiameters::GeocentricMoonSemidiameter

-

static double GeocentricMoonSemidiameter(double Delta)

-

Return Value

-

The Moon's semi diameter in arc seconds.

-

Parameters

-

Delta The distance to the Moon in kilometres.

-

 

-

CAADiameters::TopocentricMoonSemidiameter

-

static double TopocentricMoonSemidiameter(double DistanceDelta, -double Delta, double H, double Latitude, -double Height)

-

Return Value

-

The Moon's semi diameter in arc seconds.

-

Parameters

-

DistanceDelta The distance to the Moon in kilometres.

-

Delta The geocentric declination of the Moon in degrees.

-

H The geocentric hour angle of the Moon.

-

Latitude  The latitude of the position in degrees.

-

Height The observer's height above sea level in meters

-

 

-

CAADiameters::AsteroidDiameter

-

static double AsteroidDiameter(double H, double A)

-

Return Value

-

The asteroid's diameter in kilometres.

-

Parameters

-

H The absolute magnitude of the asteroid.

-

A The albedo of the asteroid.

-

 

-

CAADiameters::ApparentAsteroidDiameter

-

static double ApparentAsteroidDiameter(double Delta, double -d)

-

Return Value

-

The asteroid's apparent diameter in arc seconds.

-

Parameters

-

Delta The distance to the asteroid in astronomical units.

-

d The diameter of the asteroid in kilometres.

-

 

-

 

-

CAADynamicalTime

-

This class provides for conversion between Universal Time (both UT1 and UTC) -and Terrestrial Time (TT) aka Terrestrial Dynamical Time (TDT) aka Ephemeris Time -(ET). This refers to Chapter 10 in the book.

-

 

-

Functions this class provides include:

-

DeltaT

-

CumulativeLeapSeconds

-

TT2UTC

-

UTC2TT

-

TT2TAI

-

TAI2TT

-

TT2UT1

-

UT12TT

-

UT1MinusUTC

-

 

-

CAADynamicalTime::

-

static double DeltaT(double JD)

-

Return Value

-

The difference DeltaT which is equal to TT - UT1 in seconds of time.

-

Parameters

-

date The Julian day to calculate DeltaT for. Because DeltaT changes -so slowly, the time used can be in the TT, the UTC or UT1 timeframes.

-

 

-

CAADynamicalTime::CumulativeLeapSeconds

-

static double CumulativeLeapSeconds(double JD)

-

Return Value

-

The cumulative total of Leap seconds which have been applied to this point in -seconds of time.

-

Parameters

-

date The Julian day to calculate Cumulative leap seconds for. Because -Leap seconds change so slowly, the time used can be in the TT, the UTC or UT1 timeframes -although technically leap seconds are only relevant to the UTC timescale.

-

 

-

CAADynamicalTime::TT2UTC

-

static double TT2UTC(double JD)

-

Return Value

-

The Julian day in the UTC timeframe.

-

Parameters

-

JD The Julian day in the TT timeframe to convert.

-

 

-

CAADynamicalTime::UTC2TT

-

static double TT2UTC(double JD)

-

Return Value

-

The Julian day in the TT timeframe.

-

Parameters

-

JDThe Julian day in the UTC timeframe to convert.

-

 

-

CAADynamicalTime::TT2TAI

-

static double TT2TAI(double JD)

-

Return Value

-

The Julian day in the TAI timeframe.

-

Parameters

-

JD The Julian day in the TT timeframe to convert.

-

 

-

CAADynamicalTime::TAI2TT

-

static double TAI2TT(double JD)

-

Return Value

-

The Julian day in the TT timeframe.

-

Parameters

-

JD The Julian day in the TAI timeframe to convert.

-

 

-

CAADynamicalTime::TT2UT1

-

static double TT2UT1(double JD)

-

Return Value

-

The Julian day in the UT1 timeframe.

-

Parameters

-

JD The Julian day in the TT timeframe to convert.

-

 

-

CAADynamicalTime::UT12TT

-

static double UT12TT(double JD)

-

Return Value

-

The Julian day in the TT timeframe.

-

Parameters

-

JD The Julian day in the UT1 timeframe to convert.

-

 

-

CAADynamicalTime::UT1MinusUTC

-

static double UT12TT(double JD)

-

Return Value

-

The difference between UT1 and UTC in seconds of time.

-

Parameters

-

JD The Julian day in the UT1 timeframe.

-

 

-

 

-

 

-

CAAEarth

-

This class provides for calculation of the heliocentric position of the Earth. -This refers to Chapter 32 and parts of Chapter 26 and 47 in the book

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

EclipticLongitudeJ2000

-

EclipticLatitudeJ2000

-

Eccentricity

-

SunMeanAnnomaly

-

 

-

CAAEarth::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEarth::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEarth::RadiusVector

-

static double RadiusVector(double JD, bool -bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEarth::EclipticLongitudeJ2000

-

static double EclipticLongitudeJ2000(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of J2000 in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEarth::EclipticLatitudeJ2000

-

static double EclipticLatitudeJ2000(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of J2000 defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEarth::Eccentricity

-

static double Eccentricity(double JD)

-

Return Value

-

the eccentricity of Earth's orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAEarth::SunMeanAnomaly

-

static double SunMeanAnomaly(double JD)

-

Return Value

-

the mean anomaly of the Sun in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAEaster

-

This class provides for calculation of the date of Easter in both the Julian -and Gregorian calendars. This refers to Chapter 8 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAEaster::Calculate

-

static CAAEasterDetails Calculate(long nYear, bool bGregorianCalendar)

-

Return Value

-

A class containing

-

Month The month on which Easter Sunday occurs.

-

Day The day of the month on which Easter Sunday occurs.

-

Parameters

-

nYear The year to perform the calculation for.

-

bGregorianCalendar true if the calculation is to be performed for the -Gregorian calendar, false implies the Julian Calendar

-

 

-

 

-

CAAEclipses

-

This class provides for calculation of Solar and Lunar Eclipses. This refers -to Chapter 54 in the book.

-

 

-

Functions this class provides include:

-

CalculateSolar

-

CalculateLunar

-

 

-

CAAEclipses::CalculateSolar

-

static CAASolarEclipseDetails CalculateSolar(double k)

-

Return Value

-

A struct containing the following values:

-

bEclipse true if a solar eclipse occurs at this New Moon.

-

TimeOfMaximumEclipse The date in Dynamical time of maximum eclipse.

-

F The moons argument of Latitude in degrees at the time of the eclipse.

-

u The U term for the eclipse.

-

gamma The gamma term for the eclipse.

-

GreatestMagnitude The greatest magnitude of the eclipse if the eclipse -is partial.

-

Parameters

-

k The same K term as returned from CAAMoonPhases::K. -For a solar eclipse, this value should be a value without any decimals as a solar -eclipse refers to a New Moon.

-

 

-

CAAEclipses::CalculateLunar

-

static CAALunarEclipseDetails CalculateLunar(double k)

-

Return Value

-

A struct containing the following values:

-

bEclipse true if a lunar eclipse occurs at this Full Moon.

-

TimeOfMaximumEclipse The date in Dynamical time of maximum eclipse.

-

F The moons argument of Latitude in degrees at the time of the eclipse.

-

u The U term for the eclipse.

-

gamma The gamma term for the eclipse.

-

PenumbralRadii The radii of the eclipse for the penumbra in equatorial -earth radii.

-

UmbralRadii The radii of the eclipse for the umbra in equatorial earth -radii.

-

PenumbralMagnitude The magnitude of the eclipse if the eclipse is penumbral.

-

UmbralMagnitude The magnitude of the eclipse if the eclipse is umbral.

-

PartialPhaseSemiDuration The semi-duration of the eclipse during the partial -phase.

-

TotalPhaseSemiDuration The semi-duration of the eclipse during the total -phase.

-

PartialPhasePenumbralSemiDuration The semi-duration of the partial phase -in the penumbra.

-

Parameters

-

k The same K term as returned from CAAMoonPhases::K. -For a lunar eclipse, this value should be decimal value incremented by 0.5 as a -lunar eclipse refers to a Full Moon.

-

 

-

 

-

CAAEclipticalElements

-

This class provides the algorithms which map ecliptical elements from one equinox -to another. This refers to Chapter 24 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

FK4B1950ToFK5J200

-

 

-

CAAEclipticalElements::Calculate

-

static CAAEclipticalElementDetails Calculate(double i0, -double w0, double omega0, -double JD0, double JD)

-

Return Value

-

A struct containing the following values:

-

i The reduced inclination in degrees.

-

w The reduced argument of perihelion in degrees.

-

omega The reduced longitude of the ascending node in degrees

-

Parameters

-

i0 The inclination in degrees to reduce.

-

w0 The argument of perihelion in degrees -to reduce.

-

omega0 The longitude of the ascending -node in degrees to reduce.

-

JD0 The initial epoch in Dynamical time to calculate for.

-

JD The epoch in Dynamical time to reduce the elements to.

-

 

-

CAAEclipticalElements::FK4B1950ToFK5J2000

-

static CAAEclipticalElementDetails KF4B1950ToFK5J2000(double -i0, double w0, double omega0)

-

Return Value

-

A struct containing the following values:

-

i The reduced inclination in degrees.

-

w The reduced argument of perihelion in degrees.

-

omega The reduced longitude of the ascending node in degrees

-

Parameters

-

i0 The inclination in degrees to reduce.

-

w0 The argument of perihelion in degrees -to reduce.

-

omega0 The longitude of the ascending -node in degrees to reduce.

-

 

-

 

-

CAAElementsPlanetaryOrbit

-

This class provides the algorithms to calculate the elements of the planetary -orbits. This refers to Chapter 31 in the book.

-

 

-

Functions this class provides include:

-

MercuryMeanLongitude

-

MercurySemimajorAxis

-

MercuryEccentricity

-

MercuryInclination

-

MercuryLongitudeAscendingNode

-

MercuryLongitudePerihelion

-

VenusMeanLongitude

-

VenusSemimajorAxis

-

VenusEccentricity

-

VenusInclination

-

VenusLongitudeAscendingNode

-

VenusLongitudePerihelion

-

EarthMeanLongitude

-

EarthSemimajorAxis

-

EarthEccentricity

-

EarthInclination

-

EarthLongitudePerihelion

-

MarsMeanLongitude

-

MarsSemimajorAxis

-

MarsEccentricity

-

MarsInclination

-

MarsLongitudeAscendingNode

-

MarsLongitudePerihelion

-

JupiterMeanLongitude

-

JupiterSemimajorAxis

-

JupiterEccentricity

-

JupiterInclination

-

JupiterLongitudeAscendingNode

-

JupiterLongitudePerihelion

-

SaturnMeanLongitude

-

SaturnSemimajorAxis

-

SaturnEccentricity

-

SaturnInclination

-

SaturnLongitudeAscendingNode

-

SaturnLongitudePerihelion

-

UranusMeanLongitude

-

UranusSemimajorAxis

-

UranusEccentricity

-

UranusInclination

-

UranusLongitudeAscendingNode

-

UranusLongitudePerihelion

-

NeptuneMeanLongitude

-

NeptuneSemimajorAxis

-

NeptuneEccentricity

-

NeptuneInclination

-

NeptuneLongitudeAscendingNode

-

NeptuneLongitudePerihelion

-

MercuryMeanLongitudeJ2000

-

MercuryInclinationJ2000

-

MercuryLongitudeAscendingNodeJ2000

-

MercuryLongitudePerihelionJ2000

-

VenusMeanLongitudeJ2000

-

VenusInclinationJ2000

-

VenusLongitudeAscendingNodeJ2000

-

VenusLongitudePerihelionJ2000

-

EarthMeanLongitudeJ2000

-

EarthInclinationJ2000

-

EarthLongitudeAscendingNodeJ2000

-

EarthLongitudePerihelionJ2000

-

MarsMeanLongitudeJ2000

-

MarsInclinationJ2000

-

MarsLongitudeAscendingNodeJ2000

-

MarsLongitudePerihelionJ2000

-

JupiterMeanLongitudeJ2000

-

JupiterInclinationJ2000

-

JupiterLongitudeAscendingNodeJ2000

-

JupiterLongitudePerihelionJ2000

-

SaturnMeanLongitudeJ2000

-

SaturnInclinationJ2000

-

SaturnLongitudeAscendingNodeJ2000

-

SaturnLongitudePerihelionJ2000

-

UranusMeanLongitudeJ2000

-

UranusInclinationJ2000

-

UranusLongitudeAscendingNodeJ2000

-

UranusLongitudePerihelionJ2000

-

NeptuneMeanLongitudeJ2000

-

NeptuneInclinationJ2000

-

NeptuneLongitudeAscendingNodeJ2000

-

NeptuneLongitudePerihelionJ2000

-

 

-

CAAElementsPlanetaryOrbit::MercuryMeanLongitude

-

static double MercuryMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::MercurySemimajorAxis

-

static double MercurySemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::MercuryEccentricity

-

static double MercuryEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MercuryInclination

-

static double MercuryInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNode

-

static double MercuryLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MercuryLongitudePerihelion

-

static double MercuryLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusMeanLongitude

-

static double VenusMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::VenusSemimajorAxis

-

static double VenusSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::VenusEccentricity

-

static double VenusEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusInclination

-

static double VenusInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNode

-

static double VenusLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusLongitudePerihelion

-

static double VenusLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::EarthMeanLongitude

-

static double EarthMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::EarthSemimajorAxis

-

static double EarthSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::EarthEccentricity

-

static double EarthEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::EarthInclination

-

static double EarthInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::EarthLongitudePerihelion

-

static double EarthLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsMeanLongitude

-

static double MarsMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::MarsSemimajorAxis

-

static double MarsSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::MarsEccentricity

-

static double MarsEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsInclination

-

static double MarsInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNode

-

static double MarsLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsLongitudePerihelion

-

static double MarsLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::JupiterMeanLongitude

-

static double JupiterMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::JupiterSemimajorAxis

-

static double JupiterSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::JupiterEccentricity

-

static double JupiterEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::JupiterInclination

-

static double JupiterInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode

-

static double JupiterLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::JupiterLongitudePerihelion

-

static double JupiterLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::SaturnMeanLongitude

-

static double SaturnMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::SaturnSemimajorAxis

-

static double SaturnSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::SaturnEccentricity

-

static double SaturnEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::SaturnInclination

-

static double SaturnInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNode

-

static double SaturnLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion

-

static double SaturnLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::UranusMeanLongitude

-

static double UranusMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::UranusSemimajorAxis

-

static double UranusSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::UranusEccentricity

-

static double UranusEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::UranusInclination

-

static double UranusInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNode

-

static double UranusLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::UranusLongitudePerihelion

-

static double UranusLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::NeptuneMeanLongitude

-

static double NeptuneMeanLongitude(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::NeptuneSemimajorAxis

-

static double NeptuneSemimajorAxis(double JD)

-

Return Value

-

the semi major axis of the planet in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOribit::NeptuneEccentricity

-

static double NeptuneEccentricity(double JD)

-

Return Value

-

the eccentricity of the orbit.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::NeptuneInclination

-

static double NeptuneInclination(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the ecliptic -and mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNode

-

static double NeptuneLongitudeAscendingNode(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the ecliptic and -mean equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelion

-

static double NeptuneLongitudePerihelion(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the ecliptic and mean -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000

-

static double MercuryMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MercuryInclinationJ2000

-

static double MercuryInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000

-

static double MercuryLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000

-

static double MercuryLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000

-

static double VenusMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::VenusInclinationJ2000

-

static double VenusInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000

-

static double VenusLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000

-

static double VenusLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000

-

static double EarthMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::EarthInclinationJ2000

-

static double EarthInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000

-

static doubleEarthLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000

-

static double EarthLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000

-

static double MarsMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::MarsInclinationJ2000

-

static double MarsInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000

-

static double MarsLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000

-

static double MarsLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000

-

static double JupiterMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::JupiterInclinationJ2000

-

static double JupiterInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000

-

static double JupiterLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000

-

static double JupiterLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000

-

static double SaturnMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::SaturnInclinationJ2000

-

static double SaturnInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000

-

static double SaturnLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000

-

static double SaturnLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000

-

static double UranusMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::UranusInclinationJ2000

-

static double UranusInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000

-

static double UranusLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000

-

static double UranusLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000

-

static double NeptuneMeanLongitudeJ2000(double JD)

-

Return Value

-

the mean longitude of the planet in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAElementsPlanetaryOrbit::NeptuneInclinationJ2000

-

static double NeptuneInclinationJ2000(double JD)

-

Return Value

-

the inclination on the plane of the ecliptic in degrees with respect to the fixed -ecliptic of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000

-

static double NeptuneLongitudeAscendingNodeJ2000(double JD)

-

Return Value

-

the longitude of the ascending node in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

-CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000

-

static double NeptuneLongitudePerihelionJ2000(double JD)

-

Return Value

-

the longitude of the perihelion in degrees with respect to the fixed ecliptic -of J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAElliptical

-

This class provides for calculation of the position of an object in an elliptical -orbit. This refers to Chapter 33 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

DistanceToLightTime

-

SemiMajorAxisFromPerihelionDistance

-

MeanMotionFromSemiMajorAxis

-

InstantaneousVelocity

-

VelocityAtPerihelion

-

VelocityAtAphelion

-

LengthOfEllipse

-

CometMagnitude

-

MinorPlanetMagnitude

-

 

-

CAAElliptical::Calculate

-

static CAAEllipticalPlanetaryDetails Calculate(double JD, EllipticalObject -object, bool bHighPrecision)

-

Return Value

-

A class containing

-

ApparentGeocentricLongitude The apparent geocentric ecliptical longitude -in degrees of the object.

-

ApparentGeocentricLatitude The apparent geocentric ecliptical latitude -in degrees of the object.

-

ApparentGeocentricDistance The apparent distance in astronomical units -between the object and the Earth.

-

ApparentLightTime The apparent light travel time in days.

-

ApparentGeocentricRA The apparent right ascension of the planet as an -hour angle.

-

ApparentGeocentricDeclination The apparent declination of the planet in -degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

object An enum specifying which object (Planet except Earth or the Sun) the calculation -is to be carried out for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

static CAAEllipticalObjectDetails Calculate(double JD, const -CAAEllipticalObjectElements& elements, bool -bHighPrecision)

-

Return Value

-

A class containing

-

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial -coordinates of the object.

-

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical -coordinates of the object.

-

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in -degrees of the object.

-

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees -of the object.

-

TrueGeocentricRA The geocentric right ascension of the object as an hour -angle (i.e. without light time correction applied).

-

TrueGeocentricDeclination The geocentric declination of the object in -degrees (i.e. without light time correction applied).

-

TrueGeocentricDistance The true distance in astronomical units between -the Earth and the object.

-

TrueGeocentricLightTime The light travel time in days from the Earth to -the object.

-

AstrometricGeocentricRA The geocentric right ascension of the object as -an hour angle (i.e. with light time correction applied)

-

AstrometricGeocentricDeclination The geocentric declination of the object -in degrees (i.e. with light time correction applied)

-

AstrometricGeocentricDistance The observed distance of the object in astronomical -units.

-

AstrometricGeocentricLightTime The observed light travel time of the object -in days.

-

Elongation The elongation of the object to the Sun in degrees.

-

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

elements A class containing the following orbital elements

-

a The semi major axis in astronomical units.

-

e The eccentricity of the orbit.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox The Julian day for which equatorial coordinates should be calculated -for.

-

T The Julian date of the time of passage in perihelion.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAElliptical::DistanceToLightTime

-

static double DistanceToLightTime(double Distance)

-

Return Value

-

The light travel time in days corresponding to the distance.

-

Parameters

-

Distance The distance in astronomical units to convert.

-

 

-

-CAAElliptical::SemiMajorAxisFromPerihelionDistance

-

static double SemiMajorAxisFromPerihelionDistance(double q, -double e)

-

Return Value

-

The semi major axis of the orbit in astronomical units.

-

Parameters

-

q The perihelion distance in astronomical units.

-

e The eccentricity of the orbit.

-

 

-

CAAElliptical::MeanMotionFromSemiMajorAxis

-

static double MeanMotionFromSemiMajorAxis(double a)

-

Return Value

-

The mean motion in degrees / day.

-

Parameters

-

a The semi major axis of the orbit in astronomical units.

-

 

-

CAAElliptical::InstantaneousVelocity

-

static double InstantaneousVelocity(double r, double -a)

-

Return Value

-

The instantaneous velocity of the object in kilometres per second.

-

Parameters

-

r The distance of the object from the Sun in astronomical units.

-

a The semi major axis of the orbit in astronomical units.

-

 

-

CAAElliptical::VelocityAtPerihelion

-

static double VelocityAtPerihelion(double e, double a)

-

Return Value

-

The velocity of the object in kilometres per second at perihelion.

-

Parameters

-

e The eccentricity of the orbit.

-

a The semi major axis of the orbit in astronomical units.

-

 

-

CAAElliptical::VelocityAtAphelion

-

static double VelocityAtAphelion(double e, double a)

-

Return Value

-

The velocity of the object in kilometres per second at aphelion.

-

Parameters

-

e The eccentricity of the orbit.

-

a The semi major axis of the orbit in astronomical units.

-

 

-

CAAElliptical::LengthOfEllipse

-

static double LengthOfEllipse(double e, double a)

-

Return Value

-

The length of the eclipse in astronomical units.

-

Parameters

-

e The eccentricity of the orbit.

-

a The semi major axis of the orbit in astronomical units.

-

 

-

CAAElliptical::CometMagnitude

-

static double CometMagnitude(double g, double delta, -double k, double r)

-

Return Value

-

The magnitude of the comet.

-

Parameters

-

g The absolute magnitude of the comet.

-

delta Distance of the comet to the Earth in astronomical units.

-

k A constant which differs from one comet to another.

-

r Distance of the comet from the Sun in astronomical units

-

Remarks

-

This refers to algorithm 33.13 on page 231

-

 

-

CAAElliptical::MinorPlanetMagnitude

-

static double MinorPlanetMagnitude(double H, double delta, -double G, double r, double PhaseAngle)

-

Return Value

-

The magnitude of the minor planet.

-

Parameters

-

H The mean absolute visual magnitude of the minor planet.

-

delta Distance of the minor planet to the Earth in astronomical units.

-

G The so called "slope parameter" which differs from one minor -planet to another.

-

r Distance of the minor planet from the Sun in astronomical units

-

PhaseAngle the Sun - body - Earth angle in degrees

-

Remarks

-

This refers to algorithm 33.14 on page 231

-

 

-

 

-

CAAEquationOfTime

-

This class provides for calculation of the Equation of Time. This refers to Chapter -28 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAEquationOfTime::Calculate

-

static double Calculate(double JD, -bool -bHighPrecision)

-

Return Value

-

the equation of time in decimal minutes.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAEquinoxesAndSolstices

-

This class provides the algorithms to calculate the dates of the Equinoxes and -Solstices. This refers to Chapter 27 in the book.

-

 

-

Functions this class provides include:

-

NorthwardEquinox

-

NorthernSoltice

-

SouthwardEquinox

-

SouthernSolstice

-

LengthOfSpring

-

LengthOfSummer

-

LengthOfAutumn

-

LengthOfWinter

-

 

-

CAAEquinoxesAndSolstices::NorthwardEquinox

-

static double NorthwardEquinox(long Year, -bool bHighPrecision)

-

Return Value

-

The date in Dynamical time when the sun crosses the equator in a northerly direction.

-

Parameters

-

Year The year to calculate the occurrence for. Note that this method -refers to "Northward Equinox" instead of "Spring Equinox" to -avoid a northern hemisphere-specific bias.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::NorthernSolstice

-

static double NorthernSolstice(long Year, -bool bHighPrecision)

-

Return Value

-

The date in Dynamical time when the sun reaches its highest relative to the celestial -equator and appears directly over the Tropic of Cancer.

-

Parameters

-

Year The year to calculate the occurrence for. Note that this method -refers to "Northern Solstice" instead of "Summer Solstice" to -avoid a northern hemisphere-specific bias.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::SouthwardEquinox

-

static double SouthwardEquinox(long Year, -bool bHighPrecision)

-

Return Value

-

The date in Dynamical time when the Southward Equinox occurs.

-

Parameters

-

Year The year to calculate the occurrence for. Note that this method -refers to "Southward Equinox" instead of "Fall or Autumn equinox" -to avoid a northern hemisphere-specific bias.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::SouthernSolstice

-

static double SouthernSolstice(long Year, -bool bHighPrecision)

-

Return Value

-

The date in Dynamical time when the sun reaches its lowest relative to the celestial -equator and appears directly over the Tropic of Capricorn.

-

Parameters

-

Year The year to calculate the occurrence for. Note that this method -refers to "Southern Solstice" instead of "Winter Solstice" to -avoid a northern hemisphere-specific bias.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::LengthOfSpring

-

static double LengthOfSpring(long Year, bool -bNorthernHemisphere, bool bHighPrecision)

-

Return Value

-

The length of the astronomical Spring season in days.

-

Parameters

-

Year The year to calculate for.

-

bNorthernHemisphere true to indicate the observer is in the northern -hemisphere, while false means the southern hemisphere.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::LengthOfSummer

-

static double LengthOfSummer(long Year, bool -bNorthernHemisphere, bool bHighPrecision)

-

Return Value

-

The length of the astronomical Summer season in days.

-

Parameters

-

Year The year to calculate for.

-

bNorthernHemisphere true to indicate the observer is in the northern -hemisphere, while false means the southern hemisphere.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::LengthOfAutumn

-

static double LengthOfAutumn(long Year, bool -bNorthernHemisphere, bool bHighPrecision)

-

Return Value

-

The length of the astronomical Autumn season in days.

-

Parameters

-

Year The year to calculate for.

-

bNorthernHemisphere true to indicate the observer is in the northern -hemisphere, while false means the southern hemisphere.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAEquinoxesAndSolstices::LengthOfWinter

-

static double LengthOfWinter(long Year, bool -bNorthernHemisphere, bool bHighPrecision)

-

Return Value

-

The length of the astronomical Winter season in days.

-

Parameters

-

Year The year to calculate for.

-

bNorthernHemisphere true to indicate the observer is in the northern -hemisphere, while false means the southern hemisphere.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAFK5

-

This class provides the algorithms to convert to the FK5 standard reference frame. -This refers to parts of Chapter 26 and 32 in the book.

-

 

-

Functions this class provides include:

-

CorrectionInLongitude

-

CorrectionInLatitude

-

ConvertVSOPToFK5J2000

-

ConvertVSOPToFK5B1950

-

ConvertVSOPToFK5AnyEquinox

-

 

-

CAAFK5::CorrectionInLongitude

-

static double CorrectionInLongitude(double longitude, double -Latitude, double JD)

-

Return Value

-

The correction in degrees to convert a VSOP heliocentric longitude to the FK5 -reference frame.

-

Parameters

-

Longitude The VSOP heliocentric longitude in degrees.

-

Latitude The VSOP heliocentric latitude in degrees.

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAFK5::CorrectionInLatitude

-

static double CorrectionInLatitude(double longitude, double -JD)

-

Return Value

-

The

-

Parameters

-

Longitude The VSOP heliocentric longitude in degrees.

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAFK5::ConvertVSOPToFK5J2000

-

static CAA3DCoordinate ConvertVSOPToFK5J2000(const CAA3DCoordinate& -value)

-

Return Value

-

A class containing the converted equatorial FK5 J2000 reference frame coordinates.

-

Parameters

-

value The geometric rectangular ecliptical coordinates of the object (e.g. -the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial -FK5 J2000 reference frame.

-

 

-

CAAFK5::ConvertVSOPToFK5B1950

-

static CAA3DCoordinate ConvertVSOPToFK5B1950(const CAA3DCoordinate& -value)

-

Return Value

-

A class containing the converted equatorial FK5 B1950 reference frame coordinates.

-

Parameters

-

value The geometric rectangular ecliptical coordinates of the object (e.g. -the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial -FK5 B1950 reference frame.

-

 

-

CAAFK5::ConvertVSOPToFK5AnyEquinox

-

static CAA3DCoordinate ConvertVSOPToFK5AnyEquinox(const CAA3DCoordinate& -value, double JDEquinox)

-

Return Value

-

A class containing the converted equatorial FK5 reference frame coordinates.

-

Parameters

-

value The geometric rectangular ecliptical coordinates of the object (e.g. -the Sun) to convert from the dynamical reference frame (VSOP) to the equatorial -FK5 reference frame of JDEquinox.

-

JDEquinox The Julian day for which equatorial coordinates should be calculated -for.

-

 

-

 

-

CAAGalileanMoons

-

This class provides for calculation of the positions of the Galilean moons of -Jupiter. This refers to Chapter 44 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAGalileanMoons::Calculate

-

static CAAGalileanMoonsDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class which itself contains a class for each moon. This contained class itself -contains

-

MeanLongitude The mean longitude of the moon in degrees.

-

TrueLongitude The true longitude of the moon in degrees.

-

TropicalLongitude The tropical longitude of the moon in degrees.

-

EquatorialLatitude The latitude in degrees of the moon with respect to -Jupiter's equatorial plane.

-

r The radius vector of the moon in equatorial radii of Jupiter.

-

TrueRectangularCoordinates The true 3D rectangular coordinates of the -moon.

-

ApparentRectangularCoordinates The apparent 3D rectangular coordinates -of the moon.

-

bInTransit A Boolean which if true means that the moon is in front of -Jupiter as viewed from the Earth otherwise false.

-

bInOccultation A Boolean which if true means that the moon is behind Jupiter -as viewed from the Earth otherwise false.

-

bInEclipse A Boolean which if true means that the moon is behind Jupiter -as viewed from the Sun otherwise false.

-

bInShadowTransit A Boolean which if true means that the moon is in front -of Jupiter as viewed from the Earth otherwise false.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAGlobe

-

This class provides some basic algorithms related to the figure of the Earth's -surface.

-

 

-

Functions this class provides include:

-

RhoSinThetaPrime

-

RhoCosThetaPrime

-

RadiusOfParallelOfLatitude

-

RadiusOfCurvature

-

DistanceBetweenPoints

-

 

-

CAAGlobe::RhoSinThetaPrime

-

static double RhoSinThetaPrime(double GeographicalLatitude, -double Height)

-

Return Value

-

A numeric value of your position relative to the centre of the earth expressed -in units of the equatorial radius. For more information refer to the diagram on -Page 81.

-

Parameters

-

GeographicalLatitude The latitude of the position in degrees.

-

Height The observer's height above sea level in meters

-

 

-

CAAGlobe::RhoCosThetaPrime

-

static double RhoCosThetaPrime(double GeographicalLatitude, -double Height)

-

Return Value

-

A numeric value of your position relative to the centre of the earth expressed -in units of the equatorial radius. For more information refer to the diagram on -Page 81.

-

Parameters

-

GeographicalLatitude The latitude of the position in degrees.

-

Height The observer's height above sea level in meters

-

 

-

CAAGlobe::RadiusOfParallelOfLatitude

-

static double RadiusOfParallelOfLatitude(double GeographicalLatitude)

-

Return Value

-

The radius of parallel of latitude expressed in kilometres.

-

Parameters

-

GeographicalLatitude The latitude of the position in degrees.

-

 

-

CAAGlobe::RadiusOfCurvature

-

static double RadiusOfCurvature(double GeographicalLatitude)

-

Return Value

-

The radius of curvature of latitude expressed in kilometres.

-

Parameters

-

GeographicalLatitude The latitude of the position in degrees.

-

 

-

CAAGlobe::DistanceBetweenPoints

-

static double DistanceBetweenPoints(double GeographicalLatitude1, -double GeographicalLongitude1, double GeographicalLatitude2, -double GeographicalLongitude2)

-

 

-

Return Value

-

The shortest distance between two known points on the surface of the Earth expressed -in kilometres.

-

Parameters

-

GeographicalLatitude1 The latitude of the position of the first point -in degrees.

-

GeographicalLatitude2 The latitude of the position of the second point -in degrees.

-

 

-

 

-

CAAIlluminatedFraction

-

This class provides the algorithms to calculate a planet's phase angle, illuminated -fraction and magnitude. This refers to Chapter 41 in the book.

-

 

-

Functions this class provides include:

-

PhaseAngle

-

PhaseAngleRectangular

-

IlluminatedFraction

-

MercuryMagnitudeAA

-

MercuryMagnitudeMuller

-

VenusMagnitudeAA

-

VenusMagnitudeMuller

-

MarsMagnitudeAA

-

MarsMagnitudeMuller

-

JupiterMagnitudeAA

-

JupiterMagnitudeMuller

-

SaturnMagnitudeAA

-

SaturnMagnitudeMuller

-

UranusMagnitudeAA

-

UranusMagnitudeMuller

-

NeptuneMagnitudeAA

-

NeptuneMagnitudeMuller

-

PlutoMagnitudeAA

-

 

-

CAAIlluminatedFraction::PhaseAngle

-

static double PhaseAngle(double r, double R, double -Delta)

-

static double PhaseAngle(double R, double R0, -double B, double L, double L0, double -Delta)

-

Return Value

-

The phase angle in degrees.

-

Parameters (First Version)

-

r The planet's distance to the Sun in astronomical units.

-

R The distance of the Sun from the Earth in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Parameters (Second Version)

-

R The planet's distance to the Sun in astronomical units.

-

R0 The distance of the Sun from the Earth in astronomical units.

-

B The planet's heliocentric latitude in degrees.

-

L The planet's heliocentric longitude in degrees.

-

L0 The heliocentric latitude of the Earth in degrees.

-

Delta The planet's distance from the Earth in astronomical units.

-

 

-

CAAIlluminatedFraction::PhaseAngleRectangular

-

static double PhaseAngleRectangular(double x, double -y, double z, double B, double L, -double Delta)

-

Return Value

-

The phase angle in degrees.

-

Parameters

-

x The geocentric rectangular ecliptical X coordinate of the object.

-

y The geocentric rectangular ecliptical Y coordinate of the object.

-

z The geocentric rectangular ecliptical Y coordinate of the object.

-

B The planet's heliocentric latitude in degrees.

-

L The planet's heliocentric longitude in degrees.

-

Delta The planet's distance from the Earth in astronomical units.

-

 

-

CAAIlluminatedFraction::IlluminatedFraction

-

static double IlluminatedFraction(double r, double R, -double Delta)

-

static double IlluminatedFraction(double PhaseAngle)

-

Return Value

-

The phase angle in degrees.

-

r The planet's distance to the Sun in astronomical units.

-

R The distance of the Sun from the Earth in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

PhaseAngle The planet's phase angle in degrees.

-

 

-

CAAIlluminatedFraction::MercuryMagnitudeAA

-

static double MercuryMagnitudeAA(double r, double Delta, -double i)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::MercuryMagnitudeMuller

-

static double MercuryMagnitudeMuller(double r, double -Delta, double Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::VenusMagnitudeAA

-

static double VenusMagnitudeAA(double r, double Delta, -double i)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::VenusMagnitudeMuller

-

static double VenusMagnitudeMuller(double r, double Delta, -double Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::MarsMagnitudeAA

-

static double MarsMagnitudeAA(double r, double Delta, -double i)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::MarsMagnitudeMuller

-

static double MarsMagnitudeMuller(double r, double Delta, -double i)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::JupiterMagnitudeAA

-

static double JupiterMagnitudeAA(double r, double Delta, -double i)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

i The planet's phase angle in degrees.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::JupiterMagnitudeMuller

-

static double JupiterMagnitudeMuller(double r, double -Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::SaturnMagnitudeAA

-

static double SaturnMagnitudeAA(double r, double Delta, -double DeltaU, double B)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

DeltaU The difference between the Saturnicentric longitudes of the Sun -and the Earth, measured in the plane o the ring in degrees.

-

B The Saturnicentric latitude of the Earth referred to the plane of the -ring in degrees

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::SaturnMagnitudeMuller

-

static double SaturnMagnitudeMuller(double r, double -Delta, double DeltaU, double B)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

DeltaU The difference between the Saturnicentric longitudes of the Sun -and the Earth, measured in the plane o the ring in degrees.

-

B The Saturnicentric latitude of the Earth referred to the plane of the -ring in degrees

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::UranusMagnitudeAA

-

static double UranusMagnitudeAA(double r, double Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::UranusMagnitudeMuller

-

static double UranusMagnitudeMuller(double r, double -Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::NeptuneMagnitudeAA

-

static double NeptuneMagnitudeAA(double r, double Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

CAAIlluminatedFraction::NeptuneMagnitudeMuller

-

static double NeptuneMagnitudeMuller(double r, double -Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided by G. Muller.

-

 

-

CAAIlluminatedFraction::PlutoMagnitudeAA

-

static double PlutoMagnitudeAA(double r, double Delta)

-

Return Value

-

The magnitude of the planet.

-

Parameters

-

r The planet's distance to the Sun in astronomical units.

-

Delta The planet's distance from the Earth in astronomical units.

-

Remarks

-

Uses the formula to calculate the magnitude as provided in the Astronomical Almanac.

-

 

-

 

-

CAAInterpolate

-

This class provides the algorithms for interpolation. This refers to Chapter -3 in the book.

-

 

-

Functions this class provides include:

-

Interpolate

-

InterpolateToHalves

-

LangrangeInterpolate

-

Extremum

-

Zero

-

Zero2

-

 

-

CAAInterpolate::Interpolate

-

static double Interpolate(double n, double Y1, -double Y2, double Y3)

-

static double Interpolate(double n, double Y1, -double Y2, double Y3, double Y4, double -Y5)

-

Return Value

-

The interpolated Y value.

-

Parameters

-

n The interpolating factor.

-

Y1 The first Y value to interpolate from.

-

Y2 The second Y value to interpolate from.

-

Y3 The third Y value to interpolate from.

-

Y4 The fourth Y value to interpolate from.

-

Y5 The fifth Y value to interpolate from.

-

Remarks

-

Interpolates a function from 3 or 5 points.

-

 

-

CAAJewishCalendar::InterpolateToHalves

-

static double InterpolateToHalves(double Y1, double Y2, -double Y3, double Y4)

-

Return Value

-

The interpolated Y value.

-

Parameters

-

Y1 The first Y value to interpolate from.

-

Y2 The second Y value to interpolate from.

-

Y3 The third Y value to interpolate from.

-

Y4 The fourth Y value to interpolate from.

-

Remarks

-

Interpolates a function to the middle location where 4 evenly spaced values are -provided.

-

 

-

CAAInterpolate::LagrangeInterpolate

-

static double LagrangeInterpolate(double X, int n, -double* pX, double* pY)

-

Return Value

-

The interpolated Y value.

-

Parameters

-

X The X value to interpolate for.

-

n The size of the pX and pY arrays.

-

pX Pointer to the array of X coordinates to interpolate from.

-

pY Pointer to the array of Y coordinates to interpolate from.

-

Remarks

-

Interpolates a function using Lagrange's formula where an arbitrary number -of values are provided.

-

 

-

CAAInterpolate::Extremum

-

static double Extremum(double Y1, double Y2, double -Y3, double& nm)

-

static double Extremum(double Y1, double Y2, double -Y3, double Y4, double Y5, double& -nm)

-

Return Value

-

The extreme Y value.

-

Parameters

-

Y1 The first Y value to interpolate from.

-

Y2 The second Y value to interpolate from.

-

Y3 The third Y value to interpolate from.

-

Y4 The fourth Y value to interpolate from.

-

Y5 The fifth Y value to interpolate from.

-

nm Upon return will contain the corresponding value of the argument X -where the extremum is reached.

-

Remarks

-

Interpolates a function to determine where the function reaches an extremum.

-

 

-

CAAInterpolate::Zero

-

static double Zero(double Y1, double Y2, double -Y3)

-

static double Zero(double Y1, double Y2, double -Y3, double Y4, double Y5)

-

Return Value

-

The value of the argument X for which the function y becomes zero.

-

Parameters

-

Y1 The first Y value to interpolate from.

-

Y2 The second Y value to interpolate from.

-

Y3 The third Y value to interpolate from.

-

Y4 The fourth Y value to interpolate from.

-

Y5 The fifth Y value to interpolate from.

-

Remarks

-

Finds where a function reaches zero when the function is "almost a straight -line".

-

 

-

CAAInterpolate::Zero2

-

static double Zero2(double Y1, double Y2, double -Y3)

-

static double Zero2(double Y1, double Y2, double -Y3, double Y4, double Y5)

-

Return Value

-

The value of the argument X for which the function y becomes zero.

-

Parameters

-

Y1 The first Y value to interpolate from.

-

Y2 The second Y value to interpolate from.

-

Y3 The third Y value to interpolate from.

-

Y4 The fourth Y value to interpolate from.

-

Y5 The fifth Y value to interpolate from.

-

Remarks

-

Finds where a function reaches zero when the curvature of the function is important.

-

 

-

 

-

CAAJewishCalendar

-

This class provides the algorithms which convert between the Gregorian, Julian -and Jewish calendars. This refers to Chapter 9 in the book.

-

 

-

Functions this class provides include:

-

DateOfPesach

-

DaysInYear

-

IsLeap

-

 

-

CAAJewishCalendar::DateOfPesach

-

static CAACalendarDate DateOfPesach(long Year, bool bGregorianCalendar -= false)

-

Return Value

-

A class containing

-

Year The year in the Jewish Calendar.

-

Month The month of the year in the Gregorian or Julian Calendar corresponding -to when Pesach occurs.

-

Day The day of the month in the Gregorian or Julian Calendar corresponding -to when Pesach occurs.

-

Parameters

-

Year The year in the Julian or Gregorian Calendar to calculate Jewish -Easter or Pesach for. (Years are counted astronomically i.e. 1 BC = Year 0)

-

bGregorianCalendar true to imply a date in the Gregorian Calendar, false -means use the Julian Calendar.

-

 

-

CAAJewishCalendar::DaysInYear

-

static long DaysInYear(long Year)

-

Return Value

-

The number of days in the specified Jewish Year

-

Parameters

-

Year The year in the Jewish Calendar.

-

 

-

CAAJewishCalendar::IsLeap

-

static bool IsLeap(long Year)

-

Return Value

-

true if the specified year is leap otherwise false.

-

Parameters

-

Year The year in the Jewish calendar.

-

 

-

 

-

CAAJupiter

-

This class provides for calculation of the heliocentric position of Jupiter. -This refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAJupiter::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAJupiter::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool -bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAJupiter::RadiusVector

-

static double RadiusVector(double JD, -bool -bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAKepler

-

This class provides for the solution of Kepler's equation. This refers to -Chapter 30 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAKepler::Calculate

-

static double Calculate(double M, double e, int nIterations -= 53)

-

Return Value

-

The Eccentric anomaly in degrees (i.e. the solution to Kepler's equation).

-

Parameters

-

M The mean anomaly in degrees.

-

e The eccentricity of the orbit

-

nIterations The method uses the third method to solve the equation. This -uses a binary chop to find the solution. The default value of 53 is the number of -iterations required to obtain the accuracy of the standard Visual C "double".

-

 

-

 

-

CAAMars

-

This class provides for calculation of the heliocentric position of Mars. This -refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAMars::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAMars::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAMars::RadiusVector

-

static double RadiusVector(double JD, -bool bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAMercury

-

This class provides for calculation of the heliocentric position of Mercury. -This refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAMercury::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAMercury::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAMercury::RadiusVector

-

static double RadiusVector(double JD, -bool bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAMoon

-

This class provides the algorithms which obtain the position of the Moon. This -refers to Chapter 47 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

MeanAnnomaly

-

MeanElongation

-

MeanLongitude

-

MeanLongitudeAscendingNode

-

TrueLongitudeAscendingNode

-

MeanLongitudePergiee

-

ArgumentOfLatitude

-

RadiusVectorToHorizontalParallax

-

HorizontalParallaxToRadiusVector

-

 

-

CAAMoon::EclipticLongitude

-

static double EclipticLongitude(double JD)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::EclipticLatitude

-

static double EclipticLatitude(double JD)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::RadiusVector

-

static double RadiusVector(double JD)

-

Return Value

-

the radius vector in kilometres.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::MeanAnomaly

-

static double MeanAnomaly(double JD)

-

Return Value

-

the mean anomaly of the Moon in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::MeanElongation

-

static double MeanElongation(double JD)

-

Return Value

-

the mean elongation of the Moon in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::MeanLongitude

-

static double MeanLongitude(double JD)

-

Return Value

-

the mean longitude of the Moon in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::MeanLongitudeAscendingNode

-

static double MeanLongitudeAscendingNode(double JD)

-

Return Value

-

the mean longitude of the ascending node of the Moon in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::TrueLongitudeAscendingNode

-

static double TrueLongitudeAscendingNode(double JD)

-

Return Value

-

the true longitude of the ascending node of the lunar orbit in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::MeanLongitudePerigee

-

static double MeanLongitudePerigee(double JD)

-

Return Value

-

the mean longitude of the perigee of the lunar orbit in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::ArgumentOfLatitude

-

static double ArgumentOfLatitude(double JD)

-

Return Value

-

the argument of latitude (mean distance of the Moon from its ascending node) -in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAMoon::RadiusVectorToHorizontalParallax

-

static double RadiusVectorToHorizontalParallax(double RadiusVector)

-

Return Value

-

the parallax of the object in degrees.

-

Parameters

-

RadiusVector The distance to the object (e.g. Moon) in kilometres.

-

 

-

CAAMoon::HorizontalParallaxToRadiusVector

-

static double HorizontalParallaxToRadiusVector(double Parallax)

-

Return Value

-

RadiusVector The distance to the object in kilometres.

-

Parameters

-

the parallax of the object (e.g. Moon) in degrees.

-

 

-

 

-

CAAMoonIlluminatedFraction

-

This class provides algorithms for the Moon's elongation, phase angle and -illuminated fraction. This refers to Chapter 48 in the book.

-

 

-

Functions this class provides include:

-

GeocentricElongation

-

PhaseAngle

-

IlluminatedFraction

-

PositionAngle

-

 

-

CAAMoonIlluminatedFraction::GeocentricElongation

-

static double GeocentricElongation(double ObjectAlpha, double -ObjectDelta, double SunAlpha, double SunDelta)

-

Return Value

-

the elongation of the object from the Sun

-

Parameters

-

ObjectAlpha The geocentric right ascension of the object (e.g. the Moon) -expressed as an hour angle.

-

ObjectDelta The geocentric declination of the object (e.g. the Moon) -in degrees.

-

SunAlpha The geocentric right ascension of the Sun expressed as an hour -angle.

-

SunDelta The geocentric declination of the Sun in degrees.

-

 

-

CAAMoonIlluminatedFraction::PhaseAngle

-

static double PhaseAngle(double GeocentricElongation, -double EarthObjectDistance, double EarthSunDistance)

-

Return Value

-

the phase angle in degrees.

-

Parameters

-

GeocentricElongation The geocentric elongation in degrees.

-

EarthObjectDistance The distance in astronomical units between the Earth -and the object (the Moon)

-

EarthSunDistance The distance in astronomical units between the Earth -and the Sun

-

Remarks

-

The EarthObjectDistance and EarthSunDistance should be expressed in the same -units for instance in kilometres.

-

 

-

CAAMoonIlluminatedFraction::IlluminatedFraction

-

static double IlluminatedFraction(double PhaseAngle)

-

Return Value

-

the illuminated fraction (a value form 0 to 1).

-

Parameters

-

PhaseAngle The phase angle in degrees.

-

 

-

CAAMoonIlluminatedFraction::PositionAngle

-

static double PositionAngle(double Alpha0, -double Delta0, double Alpha, double Delta)

-

Return Value

-

the position angle of the midpoint of the illuminated limb of the object (the -Moon) in degrees.

-

Parameters

-

Alpha0 The geocentric right ascension of the Sun expressed as an hour -angle.

-

Delta0 The geocentric declination of the Sun in degrees.

-

Alpha The geocentric right ascension of the object (e.g. the Moon) expressed -as an hour angle.

-

Delta The geocentric declination of the object (e.g. the Moon) in degrees.

-

 

-

 

-

CAAMoonMaxDeclinations

-

This class provides algorithms to calculate the times when the Moon reaches its -maximum Northerly and Southerly declinations. This refers to Chapter 52 in the book.

-

 

-

Functions this class provides include:

-

K

-

MeanGreatestDeclination

-

MeanGreatestDeclinationValue

-

TrueGreatestDeclination

-

TrueGreatestDeclinationValue

-

 

-

CAAMoonMaxDeclinations::K

-

static double K(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAMoonMaxDeclinations) -for calculation of the Moon's max declination.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAMoonMaxDeclinations::MeanGreatestDeclination

-

static double MeanGreatestDeclination(double k, -bool bNortherly)

-

Return Value

-

Returns the date in Dynamical time when the mean maximum declination occurs.

-

Parameters

-

k The K value to calculate the max declination for.

-

bNortherly true if this is a calculation for a maximum northerly declination, -false implies a calculation of the a maximum southerly declination.

-

 

-

CAAMoonMaxDeclinations::MeanGreatestDeclinationValue

-

static double MeanGreatestDeclinationValue(double k)

-

Return Value

-

Returns the mean maximum declination in degrees.

-

Parameters

-

k The K value to calculate the max declination for.

-

 

-

CAAMoonMaxDeclinations::TrueGreatestDeclination

-

static double TrueGreatestDeclination(double k, -bool bNortherly)

-

Return Value

-

Returns the date in Dynamical time when the true maximum declination occurs.

-

Parameters

-

k The K value to calculate the max declination for.

-

bNortherly true if this is a calculation for a maximum northerly declination, -false implies a calculation of the a maximum southerly declination.

-

 

-

CAAMoonMaxDeclinations::TrueGreatestDeclinationValue

-

static double TrueGreatestDeclinationValue(double k)

-

Return Value

-

Returns the true maximum declination in degrees.

-

Parameters

-

k The K value to calculate the max declination for.

-

 

-

 

-

CAAMoonNodes

-

This class provides algorithms which obtain dates when the Moon passes through -its nodes. This refers to Chapter 51 in the book.

-

 

-

Functions this class provides include:

-

K

-

PassageThroNode

-

 

-

CAAMoonNodes::K

-

static double K(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAMoonNodes) -for calculation of the specified passage thro the node.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAMoonNodes::PassageThroNode

-

static double PassageThroNode(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified passage thro the node occurs.

-

Parameters

-

k The K value to calculate the passage thro the node for.

-

 

-

 

-

CAAMoonPerigeeApogee

-

This class provides algorithms to calculate the approximate times when the distance -between the Earth and the Moon is a minimum (perigee) or a maximum (apogee). This -refers to Chapter 50 in the book.

-

 

-

Functions this class provides include:

-

K

-

MeanPerigee

-

MeanApogee

-

TruePerigee

-

TrueApogee

-

PerigeeParallax

-

ApogeeParallax

-

 

-

CAAMoonPerigeeApogee::K

-

static double K(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAMoonPerigeeApogee) -for calculation of the specified phase.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAMoonPerigeeApogee::MeanPerigee

-

static double MeanPerigee(double k)

-

Return Value

-

Returns the date in Dynamical time when the mean perigee occurs.

-

Parameters

-

k The integer value which gives a perigee.

-

 

-

CAAMoonPerigeeApogee::MeanApogee

-

static double MeanApogee(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified mean apogee occurs.

-

Parameters

-

k The K value to calculate the apogee for.

-

 

-

CAAMoonPerigeeApogee::TruePerigee

-

static double TruePerigee(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified true perigee occurs.

-

Parameters

-

k The K value to calculate the perigee for.

-

 

-

CAAMoonPerigeeApogee::TrueApogee

-

static double TrueApogee(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified true apogee occurs.

-

Parameters

-

k The K value to calculate the apogee for.

-

 

-

CAAMoonPerigeeApogee::PerigeeParallax

-

static double PerigeeParallax(double k)

-

Return Value

-

Returns the parallax at the specified perigee in degrees.

-

Parameters

-

k The K value to calculate the perigee parallax for

-

 

-

CAAMoonPerigeeApogee::ApogeeParallax

-

static double ApogeeParallax(double k)

-

Return Value

-

Returns the parallax at the specified apogee in degrees.

-

Parameters

-

k The K value to calculate the apogee parallax for.

-

 

-

 

-

CAAMoonPhases

-

This class provides algorithms which obtain the dates for the phases of the Moon. -This refers to Chapter 49 in the book.

-

 

-

Functions this class provides include:

-

K

-

MeanPhase

-

TruePhase

-

 

-

CAAMoonPhases::K

-

static double K(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAMoonPhases) -for calculation of the specified phase.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAMoonPhases::MeanPhase

-

static double MeanPhase(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified mean moon phase occurs.

-

Parameters

-

k The K value to calculate the phase for.

-

 

-

CAAMoonPhases::TruePhase

-

static double TruePhase(double k)

-

Return Value

-

Returns the date in Dynamical time when the specified true moon phase occurs.

-

Parameters

-

k The K value to calculate the phase for.

-

 

-

 

-

CAAMoslemCalendar

-

This class provides the algorithms which convert between the Julian and Moslem -calendars. This refers to Chapter 9 in the book.

-

 

-

Functions this class provides include:

-

JulianToMoslem

-

MoslemToJulian

-

IsLeap

-

 

-

CAAMoslemCalendar::JulianToMoslem

-

static CAACalendarDate JulianToMoslem(long Year, long -Month, long Day)

-

Return Value

-

A class containing

-

Year The year in the Moslem Calendar.

-

Month The month of the year in the Moslem Calendar (1 for Muharram to -12 for Dhu l-Hijja).

-

Day The day of the month in the Moslem Calendar.

-

Parameters

-

Year The year in the Julian Calendar to convert. (Years are counted astronomically -i.e. 1 BC = Year 0)

-

Month The month of the year in the Julian Calendar (1 for January to 12 -for December).

-

Day The day of the month in the Julian Calendar.

-

 

-

CAAMoslemCalendar::MoslemToJulian

-

static CAACalendarDate MoslemToJulian(long Year, long -Month, long Day)

-

Return Value

-

A class containing

-

Year The year in the Julian Calendar.

-

Month The month of the year in the Julian Calendar  (1 for January -to 12 for December).

-

Day The day of the month in the Julian Calendar.

-

Parameters

-

Year The year in the Moslem Calendar to convert

-

Month The month of the year in the Moslem Calendar (1 for Muharram to -12 for Dhu l-Hijja).

-

Day The day of the month in the Moslem Calendar.

-

 

-

CAAMoslemCalendar::IsLeap

-

static bool IsLeap(long Year)

-

Return Value

-

true if the specified year is leap otherwise false.

-

Parameters

-

Year The year in the Moslem calendar.

-

 

-

 

-

CAANearParabolic

-

This class provides for calculation of the position of an object in an orbit -which can be best modelled as near parabolic i.e. eccentricity between 0.98 and -1.02. Chapter 35 in the book includes support for calculating Near-parabolic orbits, -but the code is provided in BASIC and the algorithm as presented has problems converging -when the eccentricity is close to 1. Instead the algorithms used in this class are -based upon the worked examples which Paul Schlyter has provided at -http://stjarnhimlen.se/comp/tutorial.html#16

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAANearParabolic::Calculate

-

static CAANearParabolicObjectDetails Calculate(double JD, const -CAANearParabolicObjectElements& elements, bool -bHighPrecision)

-

Return Value

-

A class containing

-

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial -coordinates of the object.

-

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical -coordinates of the object.

-

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in -degrees of the object.

-

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees -of the object.

-

TrueGeocentricRA The geocentric right ascension of the object as an hour -angle (i.e. without light time correction applied).

-

TrueGeocentricDeclination The geocentric declination of the object in -degrees (i.e. without light time correction applied).

-

TrueGeocentricDistance The true distance in astronomical units between -the Earth and the object.

-

TrueGeocentricLightTime The light travel time in days from the Earth to -the object.

-

AstrometricGeocentricRA The geocentric right ascension of the object as -an hour angle (i.e. with light time correction applied)

-

AstrometricGeocentricDeclination The geocentric declination of the object -in degrees (i.e. with light time correction applied)

-

AstrometricGeocentricDistance The observed distance of the object in astronomical -units.

-

AstrometricGeocentricLightTime The observed light travel time of the object -in days.

-

Elongation The elongation of the object to the Sun in degrees.

-

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

elements A class containing the following orbital elements

-

q The perihelion distance in astronomical units.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox The Julian Date for which equatorial coordinates should be calculated -for.

-

T The Julian date of the time of passage in perihelion.

-

e Eccentricity of the orbit

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAANeptune

-

This class provides for calculation of the heliocentric position of Neptune. -This refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAANeptune::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAANeptune::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAANeptune::RadiusVector

-

static double RadiusVector(double JD, -bool bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAANodes

-

This class provides for calculation of the time of passages from the orbital -elements of a planet or comet through the nodes of its orbit. This refers to Chapter -39 in the book.

-

 

-

Functions this class provides include:

-

PassageThroAscendingNode (for Elliptical -orbits)

-

PassageThroDescendingNode (for Elliptical -orbits)

-

PassageThroAscendingNode (for Parabolic orbits)

-

PassageThroDescendingNode (for Parabolic orbits)

-

 

-

CAANodes::PassageThroAscendingNode

-

static CAANodeObjectDetails PassageThroAscendingNode(const CAAEllipticalObjectElements& -elements);

-

Return Value

-

A class containing

-

t The date in Dynamical time to when the body moves thro the ascending -node.

-

radius The radius vector in astronomical units.

-

Parameters

-

elements A class containing the following orbital elements

-

a The semi major axis in astronomical units.

-

e The eccentricity of the orbit.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox Unused in this function's use of CAAEllipticalObjectElements.

-

T The Julian date of the time of passage in perihelion.

-

 

-

CAANodes::PassageThroDescendingNode

-

static CAANodeObjectDetails PassageThroDescendingNode(const CAAEllipticalObjectElements& -elements);

-

Return Value

-

A class containing

-

t The date in Dynamical time to when the body moves thro the ascending -node.

-

radius The radius vector in astronomical units.

-

Parameters

-

elements A class containing the following orbital elements

-

a The semi major axis in astronomical units.

-

e The eccentricity of the orbit.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox Unused in this function's use of CAAEllipticalObjectElements.

-

T The Julian date of the time of passage in perihelion.

-

 

-

CAANodes::PassageThroAscendingNode

-

static CAANodeObjectDetails PassageThroAscendingNode(const CAAParabolicObjectElements& -elements);

-

Return Value

-

A class containing

-

t The date in Dynamical time to when the body moves thro the ascending -node.

-

radius The radius vector in astronomical units.

-

Parameters

-

elements A class containing the following orbital elements

-

q The perihelion distance in astronomical units.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox Unused in this function's use of CAAParabolicObjectElements.

-

T The Julian date of the time of passage in perihelion.

-

 

-

CAANodes::PassageThroDescendingNode

-

static CAANodeObjectDetails PassageThroDescendingNode(const CAAParabolicObjectElements& -elements);

-

Return Value

-

A class containing

-

t The date in Dynamical time to when the body moves thro the ascending -node.

-

radius The radius vector in astronomical units.

-

Parameters

-

elements A class containing the following orbital elements

-

q The perihelion distance in astronomical units.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox Unused in this function's use of CAAParabolicObjectElements.

-

T The Julian date of the time of passage in perihelion.

-

 

-

 

-

CAANutation

-

This class provides for calculation of Nutation and the Obliquity of the Ecliptic. -This refers to Chapter 22 and parts of Chapter 23 in the book.

-

 

-

Functions this class provides include:

-

NutationInLongitude

-

NutationInObliquity

-

NutationInRightAscension

-

NutationInDeclination

-

MeanObliquityOfEcliptic

-

TrueObliquityOfEcliptic

-

 

-

CAANutation::NutationInLongitude

-

static double NutationInLongitude(double JD)

-

Return Value

-

The nutation in ecliptic longitude in arc seconds of a degree.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAANutation::NutationInObliquity

-

static double NutationInObliquity(double JD)

-

Return Value

-

The nutation in obliquity in arc seconds of a degree.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAANutation::NutationInRightAscension

-

static double NutationInRightAscension(double Alpha, double -Delta, double Obliquity, double NutationInLongitude, -double NutationInObliquity)

-

Return Value

-

The nutation in right ascension in arc seconds of a degree.

-

Parameters

-

Alpha The right ascension of the position in hour angles.

-

Delta The declination of the position in degrees.

-

Obliquity The obliquity of the Ecliptic in degrees.

-

NutationInLongitude The nutation in longitude in arc seconds of a degree.

-

NutationInObliquity The nutation in obliquity in arc seconds of a degree.

-

Remarks

-

This refers to algorithm 23.1 on page 151.

-

 

-

CAANutation::NutationInDeclination

-

static double NutationInDeclination(double Alpha, double -Delta, double Obliquity, double NutationInLongitude, -double NutationInObliquity)

-

Return Value

-

The nutation in declination in arc seconds of a degree.

-

Parameters

-

Alpha The right ascension of the position in hour angles.

-

Delta The declination of the position in degrees.

-

Obliquity The obliquity of the Ecliptic in degrees.

-

NutationInLongitude The nutation in longitude in arc seconds of a degree.

-

NutationInObliquity The nutation in obliquity in arc seconds of a degree.

-

Remarks

-

This refers to algorithm 23.1 on page 151.

-

 

-

CAANutation::MeanObliquityOfEcliptic

-

static double MeanObliquityOfEcliptic(double JD)

-

Return Value

-

The mean obliquity of the ecliptic in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAANutation::TrueObliquityOfEcliptic

-

static double TrueObliquityOfEcliptic(double JD)

-

Return Value

-

The true obliquity of the ecliptic in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAParabolic

-

This class provides for calculation of the position of an object in a parabolic -orbit. This refers to Chapter 34 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

CalculateBarkers

-

 

-

CAAParabolic::Calculate

-

static CAAParabolicObjectDetails Calculate(double JD, const -CAAParabolicObjectElements& elements, bool -bHighPrecision)

-

Return Value

-

A class containing

-

HeliocentricRectangularEquatorial 3D rectangular heliocentric equatorial -coordinates of the object.

-

HeliocentricRectangularEcliptical 3D rectangular heliocentric ecliptical -coordinates of the object.

-

HeliocentricEclipticLongitude The heliocentric ecliptical longitude in -degrees of the object.

-

HeliocentricEclipticLatitude The heliocentric ecliptical latitude in degrees -of the object.

-

TrueGeocentricRA The geocentric right ascension of the object as an hour -angle (i.e. without light time correction applied).

-

TrueGeocentricDeclination The geocentric declination of the object in -degrees (i.e. without light time correction applied).

-

TrueGeocentricDistance The true distance in astronomical units between -the Earth and the object.

-

TrueGeocentricLightTime The light travel time in days from the Earth to -the object.

-

AstrometricGeocenticRA The geocentric right ascension of the object as -an hour angle (i.e. with light time correction applied)

-

AstrometricGeocentricDeclination The geocentric declination of the object -in degrees (i.e. with light time correction applied)

-

AstrometricGeocentricDistance The observed distance of the object in astronomical -units.

-

AstrometricGeocentricLightTime The observed light travel time of the object -in days.

-

Elongation The elongation of the object to the Sun in degrees.

-

PhaseAngle The phase angle (the angle Sun - object - Earth) in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

elements A class containing the following orbital elements

-

q The perihelion distance in astronomical units.

-

i The inclination of the plane of the orbit in degrees.

-

w The argument of the perihelion in degrees.

-

omega The longitude of the ascending node in degrees.

-

JDEquinox The Julian Date for which equatorial coordinates should be calculated -for.

-

T The Julian date of the time of passage in perihelion.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAParabolic::CalculateBarkers

-

static double CalculateBarkers(double W)

-

Return Value

-

The solution to Barkers equation as described in algorithm 34.3 on page 241.

-

Parameters

-

W The value W as described in algorithm 34.1 on page 241.

-

 

-

 

-

CAAParallactic

-

This class provides for measurement of various angles on the celestial globe. -This refers to Chapter 14 in the book.

-

 

-

Functions this class provides include:

-

ParallacticAngle

-

EclipticLongitudeOnHorizon

-

AngleBetweenEclipticAndHorizon

-

AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic

-

 

-

CAAParallactic::ParallacticAngle

-

static double ParallacticAngle(double HourAngle, double -Latitude, double delta)

-

Return Value

-

Returns the parallactic angle (the ZCN angle) and is generally designated by -q.

-

Parameters

-

HourAngle The hour angle.

-

Latitude The latitude of the position in degrees.

-

Delta The declination in degrees.

-

Remarks

-

This refers to algorithm 14.1 on page 98.

-

 

-

CAAParallactic::EclipticLongitudeOnHorizon

-

static double EclipticLongitudeOnHorizon(double LocalSiderealTime, -double ObliquityOfEcliptic, double Latitude)

-

Return Value

-

Returns the ecliptic longitude of two points which are (180 degrees apart) on -the horizon.

-

Parameters

-

LocalSiderealTime The local sidereal time measured in hours.

-

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

-

Latitude The latitude of the position in degrees.

-

Remarks

-

This refers to algorithm 14.2 on page 99.

-

 

-

CAAParallactic::AngleBetweenEclipticAndHorizon

-

static double AngleBetweenEclipticAndHorizon(double LocalSiderealTime, -double ObliquityOfEcliptic, double Latitude)

-

Return Value

-

Returns the angle in degrees of the diurnal path of a celestial body (not the -ecliptic) relative to the horizon at the time of its rising or setting.

-

Parameters

-

LocalSiderealTime The local sidereal time measured in hours.

-

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

-

Latitude The latitude of the position in degrees.

-

Remarks

-

This refers to algorithm at the top of page 100.

-

 

-

CAAParallactic::AngleBetweenNorthCelestrialPoleAndNorthPoleOfEcliptic

-

static double AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(double -Lambda, double Beta, double ObliquityOfEcliptic)

-

Return Value

-

Return the angle in degrees between the direction of the northern celestial pole -and the direction of the north pole of the ecliptic, at the star.

-

Parameters

-

Lambda The ecliptical longitude in degrees.

-

Beta The ecliptical latitude of the star in degrees.

-

ObliquityOfEcliptic The obliquity of the ecliptic in degrees.

-

Remarks

-

This refers to algorithm at the top of page 100.

-

 

-

 

-

CAAParallax

-

This class provides for calculation of the topocentric coordinates of a body -as seen from the observer's place on the Earth's surface. This refers to -Chapter 40 in the book.

-

 

-

Functions this class provides include:

-

Equatorial2TopocentricDelta

-

Equatorial2Topocentric

-

Ecliptic2Topocentric

-

ParallaxToDistance

-

DistanceToParallax

-

 

-

CAAParallax::Equatorial2TopocentricDelta

-

static CAA2DCoordinate Equatorial2TopocentricDelta(double Alpha, -double Delta, double Distance, double Longitude, -double Latitude, double Height, double JD)

-

Return Value

-

Returns the corrections in equatorial coordinates in a CAA2DCoordinate class. -The x value in the class corresponds to the correction in right ascension expressed -as an hour angle and the y value corresponds to the correction in declination in -degrees.

-

Parameters

-

Alpha The right ascension in hours of the object at time JD.

-

Delta The declination in degrees of the object at time JD.

-

Distance The distance (in astronomical units) to the Earth.

-

Longitude The longitude in degrees.

-

Latitude The latitude in degrees.

-

Height The observer's height above sea level in meters.

-

JD The date in Dynamical time to calculate for.

-

Remarks

-

This returns the difference between the geocentric and topocentric values. This -refers to equation 40.4 and 40.5 on page 280.

-

 

-

CAAParallax::Equatorial2Topocentric

-

static CAA2DCoordinate Equatorial2Topocentric(double Alpha, -double Delta, double Distance, double Longitude, -double Latitude, double Height, double JD)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to right ascension expressed as an hour angle and -the y value corresponds to the right ascension in degrees.

-

Parameters

-

Alpha The right ascension in hours of the object at time JD.

-

Delta The declination in degrees of the object at time JD.

-

Distance The distance (in astronomical units) to the Earth.

-

Longitude The longitude in degrees.

-

Latitude The latitude in degrees.

-

Height The observer's height above sea level in meters

-

JD The date in Dynamical time to calculate for.

-

Remarks

-

This returns the rigorous conversion between the geocentric and topocentric values. -This refers to equation 40.2 and 40.3 on page 279.

-

 

-

CAAParallax::Ecliptic2Topocentric

-

static CAATopocentricEclipticDetails Ecliptic2Topocentric(double Lambda, -double Beta, double Semidiameter, double Distance, -double Epsilon, double Latitude, double Height, -double JD)

-

Return Value

-

A class containing

-

Lambda The topocentric ecliptical longitude in degrees.

-

Beta The topocentric ecliptical latitude in degrees.

-

Semidiameter The topocentric semi diameter in degrees.

-

Parameters

-

Lambda The ecliptical longitude in degrees.

-

Beta The ecliptical latitude in degrees.

-

Semidiameter The geocentric semi diameter in degrees.

-

Distance The distance (in astronomical units) to the Earth.

-

Epsilon The obliquity of the ecliptic in degrees.

-

Latitude The latitude in degrees.

-

Height The observer's height above sea level in meters.

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAParallax::ParallaxToDistance

-

static double ParallaxToDistance(double Parallax)

-

Return Value

-

Returns the distance in astronomical units.

-

Parameters

-

Parallax The parallax of the body in degrees.

-

 

-

CAAParallax::DistanceToParallax

-

static double DistanceToParallax(double Distance)

-

Return Value

-

Returns the parallax in degrees.

-

Parameters

-

Distance The distance (in astronomical units) to the body.

-

 

-

 

-

CAAPhysicalJupiter

-

This class provides for calculation of various physical parameters related to -the Jupiter. This refers to Chapter 43 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAPhysicalJupiter::Calculate

-

static CAAPhysicalJupiterDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class containing

-

DE The planetocentric declination in degrees of the Earth.

-

DS The planetocentric declination in degrees of the Sun.

-

Geometricw1 The geometric longitude in degrees of the central meridian -for System 1.

-

Geometricw2 The geometric longitude in degrees of the central meridian -for System 2.

-

Apparentw1 The apparent longitude in degrees of the central meridian for -System 1.

-

Apparentw2 The geometric longitude in degrees of the central meridian -for System 2.

-

P The position angle of Jupiter's northern rotational pole in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAPhysicalMars

-

This class provides for calculation of various physical parameters related to -the Mars. This refers to Chapter 42 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAPhysicalMars::Calculate

-

static CAAPhysicalMarsDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class containing

-

DE The planetocentric declination in degrees of the Earth.

-

DS The planetocentric declination in degrees of the Sun.

-

w The aerographic longitude in degrees of the central meridian as seen from Earth.

-

P The geocentric position angle of Mars' northern rotational pole -in degrees.

-

X The position angle in degrees of the mid-point of the illuminated limb.

-

k The illuminated fraction of the planet's disk.

-

q The defect of illumination.

-

d The apparent diameter of Mars in arc seconds.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAPhysicalMoon

-

This class provides for calculation of various physical parameters related to -the Moon. This refers to Chapter 53 in the book.

-

 

-

Functions this class provides include:

-

CalculateGeocentric

-

CalculateTopocentric

-

CalculateSelenographicPositionOfSun

-

AltitudeOfSun

-

TimeOfSunrise

-

TimeOfSunset

-

 

-

CAAPhysicalMoon::CalculateGeocentric

-

static CAAPhysicalMoonDetails CalculateGeocentric(double -JD)

-

Return Value

-

A class containing

-

ldash The optical libration in longitude in degrees.

-

bdash The optical libration in latitude in degrees.

-

ldash2 The physical libration in longitude in degrees.

-

bdash2 The physical libration in latitude in degrees.

-

l The total libration in longitude in degrees.

-

b The total libration in latitude in degrees.

-

P The position angle in degrees of the Moon's axis of rotation.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

Remarks

-

Calculates the physical parameters referred to the centre of the Earth

-

 

-

CAAPhysicalMoon::CalculateTopcentric

-

static CAAPhysicalMoonDetails CalculateTopocentric(double -JD, double Longitude, double Latitude)

-

Return Value

-

A class containing

-

ldash The optical libration in longitude in degrees.

-

bdash The optical libration in latitude in degrees.

-

ldash2 The physical libration in longitude in degrees.

-

bdash2 The physical libration in latitude in degrees.

-

l The total libration in longitude in degrees.

-

b The total libration in latitude in degrees.

-

P The position angle in degrees of the Moon's axis of rotation.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

Longitude The topocentric longitude in degrees of the position to perform -the calculation for.

-

Latitude The topocentric latitude in degrees of the position to perform -the calculation for.

-

Remarks

-

Calculates the physical parameters referred to the specified position on the -Earth

-

 

-

CAAPhysicalMoon::CalculateSelenographicPositionOfSun

-

static CAAPSelenographicMoonDetails CalculateSelenographicPositionOfSun(double -JD, bool bHighPrecision)

-

Return Value

-

A class containing

-

l0 The longitude in degrees of the sub solar point.

-

b0 The latitude in degrees of the sub solar point.

-

c0 The selenographic colongitude of the sun.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAPhysicalMoon::AltitudeOfSun

-

static double AltitudeOfSun(double JD, double Longitude, -double Latitude, bool bHighPrecision)

-

Return Value

-

Returns the altitude in degrees of the Sun at the specified lunar location.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

Longitude The selenographic longitude in degrees of the position to perform -the calculation for.

-

Latitude The selenographic latitude in degrees of the position to perform -the calculation for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAPhysicalMoon::TimeOfSunrise

-

static double TimeOfSunrise(double JD, double Longitude, -double Latitude, bool bHighPrecision)

-

Return Value

-

Returns the nearest Julian date in Dynamical time when the Sun rises at the specified -lunar location. This value will always be earlier than the parameter "JD"

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

Longitude The selenographic longitude in degrees of the position to perform -the calculation for.

-

Latitude The selenographic latitude in degrees of the position to perform -the calculation for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAPhysicalMoon::TimeOfSunset

-

static double TimeOfSunset(double JD, double Longitude, -double Latitude, bool bHighPrecision)

-

Return Value

-

Returns the nearest Julian date in Dynamical time when the Sun rises at the specified -lunar location. This value will always be later than the parameter "JD"

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

Longitude The selenographic longitude in degrees of the position to perform -the calculation for.

-

Latitude The selenographic latitude in degrees of the position to perform -the calculation for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAPhysicalSun

-

This class provides for calculation of various physical parameters related to -the Sun. This refers to Chapter 29 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAAPhysicalSun::Calculate

-

static CAAPhysicalSunDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class containing

-

P The position angle in degrees of the northern extremity of the axis -of rotation.

-

B0 The heliographic latitude in degrees of the centre of the solar disk.

-

L0 The heliographic longitude in degrees of the centre of the solar disk.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAPlanetaryPhenomena

-

This class provides for the calculation of several configurations involving planets -Mercury to Neptune; oppositions and conjunctions with the Sun, greatest elongations, -and stations. This refers to Chapter 36 in the book.

-

 

-

Functions this class provides include:

-

K

-

Mean

-

True

-

ElongationValue

-

 

-

CAAPlanetaryPhenomena::K

-

static double K(double Year, PlanetaryObject object, -EventType type)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetaryPhenomena) -for calculation of the various event types.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

object An enum specifying the planet to calculate for.

-

type An enum to specify the event type to calculate.

-

 

-

CAAPlanetaryPhenomena::Mean

-

static double Mean(double k, PlanetaryObject object, -EventType type)

-

Return Value

-

Returns the date in Dynamical time when the specified mean planetary configuration -occurs (that is, calculated from circular orbits and uniform planetary motions).

-

Parameters

-

k The K value to calculate the phenomena for.

-

object An enum specifying the planet to calculate for.

-

type An enum to specify the event type to calculate.

-

 

-

CAAPlanetaryPhenomena::True

-

static double True(double k, PlanetaryObject object, -EventType type)

-

Return Value

-

Returns the date in Dynamical time when the true planetary configuration occurs.

-

Parameters

-

k The K value to calculate the phenomena for.

-

object An enum specifying the planet to calculate for.

-

type An enum to specify the event type to calculate.

-

 

-

CAAPlanetaryPhenomena::ElongationValue

-

static double ElongationValue(double k, PlanetaryObject -object, bool bEastern)

-

Return Value

-

the value of the greatest elongation of a planet.

-

Parameters

-

k The K value to calculate the phenomena for.

-

object An enum specifying the planet to calculate for.

-

bEastern true if you want the elongation value for the eastern elongation, -otherwise false implies western elongation.

-

 

-

 

-

CAAPlanetPerihelionAphelion

-

This class provides for the calculation of the time when a planet is in perihelion -or in aphelion. This refers to Chapter 38 in the book.

-

 

-

Functions this class provides include:

-

MercuryK

-

MercuryPerihelion

-

MercuryAphelion

-

VenusK

-

VenusPerihelion

-

VenusAphelion

-

EarthK

-

EarthPerihelion

-

EarthAphelion

-

MarsK

-

MarsPerihelion

-

MarsAphelion

-

JupiterK

-

JupiterPerihelion

-

JupiterAphelion

-

SaturnK

-

SaturnPerihelion

-

SaturnAphelion

-

UranusK

-

UranusPerihelion

-

UranusAphelion

-

NeptuneK

-

NeptunePerihelion

-

NeptuneAphelion

-

 

-

CAAPlanetPerihelionAphelion::MercuryK

-

static long MercuryK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::MercuryPerihelion

-

static double MercuryPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::MercuryAphelion

-

static double MercuryAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::VenusK

-

static long VenusK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::VenusPerihelion

-

static double VenusPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::VenusAphelion

-

static double VenusAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::EarthK

-

static long EarthK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::EarthPerihelion

-

static double EarthPerihelion(long k, -bool bBarycentric = false)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

bBarycentric  If true, the calculation is for the barycenter of the -Earth - Moon system, false implies the Earth itself.

-

 

-

CAAPlanetPerihelionAphelion::EarthAphelion

-

static double EarthAphelion(long k, bool bBarycentric -= false)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

bBarycentric  If true, the calculation is for the barycenter of the -Earth - Moon system, false implies the Earth itself

-

 

-

CAAPlanetPerihelionAphelion::MarsK

-

static long MarsK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::MarsPerihelion

-

static double MarsPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::MarsAphelion

-

static double MarsAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::JupiterK

-

static long JupiterK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::JupiterPerihelion

-

static double JupiterPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::JupiterAphelion

-

static double JupiterAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::SaturnK

-

static long SaturnK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::SaturnPerihelion

-

static double SaturnPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::SaturnAphelion

-

static double SaturnAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::UranusK

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::UranusPerihelion

-

static double UranusPerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::UranusAphelion

-

static double UranusAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

CAAPlanetPerihelionAphelion::NeptuneK

-

static long NeptuneK(double Year)

-

Return Value

-

Returns the approximate value of K (required by the other methods of CAAPlanetPerihelionAphelion) -for calculation of the dates of Perihelion or Aphelion.

-

Parameters

-

Year The Year including decimals to calculate the K value for.

-

 

-

CAAPlanetPerihelionAphelion::NeptunePerihelion

-

static double NeptunePerihelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified perihelion occurs.

-

Parameters

-

k The K value to calculate the perihelion for.

-

 

-

CAAPlanetPerihelionAphelion::NeptuneAphelion

-

static double NeptuneAphelion(long k)

-

Return Value

-

Returns the date in Dynamical time when the specified aphelion occurs.

-

Parameters

-

k The K value to calculate the aphelion for.

-

 

-

 

-

CAAPluto

-

This class provides for calculation of the heliocentric position of Pluto. This -refers to Chapter 37 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAPluto::EclipticLongitude

-

static double EclipticLongitude(double JD)

-

Return Value

-

the ecliptic longitude in degrees referred to the standard equinox J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAPluto::EclipticLatitude

-

static double EclipticLatitude(double JD)

-

Return Value

-

the ecliptic latitude in degrees referred to the standard equinox J2000.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAPluto::RadiusVector

-

static double RadiusVector(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAPrecession

-

This class provides for the calculation of the slow drift that the direction -of the rotational axis of the Earth undergoes over time. This refers to Chapter -21 in the book.

-

 

-

Functions this class provides include:

-

PrecessEquatorial

-

PrecessEquatorialFK4

-

PrecessEcliptic

-

EquatorialPMToEcliptic

-

AdjustPositionUsingUniformProperMotion

-

AdjustPositionUsingMotionInSpace

-

 

-

CAAPrecession::PrecessEquatorial

-

static CAA2DCoordinate PrecessEquatorial(double Alpha, -double Delta, double JD0, double -JD)

-

Return Value

-

Returns the precessed equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the right ascension as an hour angle and the -y value corresponds to the declination in degrees.

-

Parameters

-

Alpha The right ascension in hours of the object at time JD.

-

Delta The declination in degrees of the object at time JD.

-

JD0 The date in Dynamical time corresponding to the initial epoch.

-

JD The date in Dynamical time corresponding to the final epoch.

-

 

-

CAAPrecession::PrecessEquatorialFK4

-

static CAA2DCoordinate PrecessEquatorialFK4(double Alpha, -double Delta, double JD0, double -JD)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the equatorial right ascension an hour angle -and the y value corresponds to the declination in degrees.

-

Parameters

-

Alpha The right ascension in hours of the object at time JD.

-

Delta The declination in degrees of the object at time JD.

-

JD0 The date in Dynamical time corresponding to the initial epoch.

-

JD The date in Dynamical time corresponding to the final epoch.

-

 

-

CAAPrecession::PrecessEcliptic

-

static CAA2DCoordinate PrecessEcliptic(double Lambda, -double Beta, double JD0, double -JD)

-

Return Value

-

Returns the converted ecliptic coordinates in a CAA2DCoordinate class. The x -value in the class corresponds to the ecliptical longitude in degrees and the y -value corresponds to the ecliptical latitude in degrees. 

-

Parameters

-

Lambda The ecliptical longitude in degrees.

-

Beta The ecliptical latitude of the star in degrees.

-

JD0 The date in Dynamical time corresponding to the initial epoch.

-

JD The date in Dynamical time corresponding to the final epoch.

-

 

-

CAAPrecession::EquatorialPMToEcliptic

-

static CAA2DCoordinate EquatorialPMToEcliptic(double Alpha, -double Delta, double Beta, double -PMAlpha, double PMDelta, double -Epsilon)

-

Return Value

-

Returns the converted ecliptic proper motions in a CAA2DCoordinate class. The -x value in the class corresponds to the proper motion in ecliptical longitude in -arc seconds per year and the y value corresponds to the proper motion in ecliptical -latitude in arc seconds per year.

-

Parameters

-

Alpha The right ascension expressed as an hour angle.

-

Delta The declination in degrees.

-

Beta The ecliptical latitude of the star in degrees.

-

PMAlpha The proper motion in right ascension in arc seconds per year. -

-

PMDelta The proper motion of the declination in arc seconds per year.

-

Epsilon The obliquity of the ecliptic in degrees.

-

 

-

CAAPrecession::AdjustPositionUsingUniformProperMotion

-

static CAA2DCoordinate AdjustPositionUsingUniformProperMotion(double -t, double Alpha, double Delta, -double PMAlpha, double PMDelta)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the right ascension expressed as an hour angle -and the y value corresponds to the declination in degrees.

-

Parameters

-

t The number of years from the starting epoch, negative in the past and -positive in the future.

-

Alpha The right ascension expressed as an hour angle.

-

Delta The declination in degrees.

-

PMAlpha The proper motion in right ascension in arc seconds per year. -

-

PMDelta The proper motion in declination in arc seconds per year.

-

 

-

CAAPrecession::AdjustPositionUsingMotionInSpace

-

static CAA2DCoordinate AdjustPositionUsingMotionInSpace(double -r, double deltar, double t, -double Alpha, double Delta, double -PMAlpha, double PMDelta)

-

Return Value

-

Returns the converted equatorial coordinates in a CAA2DCoordinate class. The -x value in the class corresponds to the right ascension expressed as an hour angle -and the y value corresponds to the declination in degrees.

-

Parameters

-

r The stars distance in parsecs.

-

deltar The radial velocity  in km/s.

-

t The number of years from the starting epoch, negative in the past and -positive in the future.

-

Alpha The right ascension expression as an hour angle.

-

Delta The declination in degrees.

-

PMAlpha The proper motion in right ascension in arc seconds per year. -

-

PMDelta The proper motion in declination in arc seconds per year.

-

 

-

 

-

CAARefraction

-

This class provides for conversion between apparent and true altitude above the -horizon. This refers to Chapter 16 in the book.

-

 

-

Functions this class provides include:

-

RefractionFromApparent

-

RefractionFromTrue

-

 

-

CAARefraction::RefractionFromApparent

-

static double RefractionFromApparent(double Altitude, -double Pressure = 1010, double Temperature -= 10)

-

Return Value

-

the refraction in degrees.

-

Parameters

-

Altitude The apparent altitude in degrees.

-

Pressure The atmospheric pressure in millibars

-

Temperature The air temperature in degrees Celsius.

-

 

-

CAARefraction::RefractionFromTrue

-

static double RefractionFromTrue(double Altitude, -double Pressure = 1010, double Temperature -= 10)

-

Return Value

-

the refraction in degrees.

-

Parameters

-

Altitude The true altitude in degrees.

-

Pressure The atmospheric pressure in millibars

-

Temperature The air temperature in degrees Celsius.

-

 

-

 

-

CAARiseTransitSet

-

This class provides for calculation of the time of rise, transit and set of a -celestial body. This refers to Chapter 15 in the book.

-

 

-

Functions this class provides include:

-

Rise

-

 

-

CAARiseTransitSet::Rise

-

static CAARiseTransitSetDetails Calculate(double JD, double -Alpha1, double Delta1, double Alpha2, -double Delta2, double Alpha3, double Delta3, -double Longitude, double Latitude, double h0)

-

Return Value

-

A class containing

-

bRiseValid true if the object actually rises for the specified date.

-

Rise The time in decimal hours when the object rises

-

bTransitAboveHorizon true if the object transits above the horizon, false -indicates it transits below the horizon.

-

Transit The time in hours when the object transits

-

bSetValid true if the object actually sets for the specified date.

-

Set The time in hours when the object sets

-

Parameters

-

JD The Julian Day corresponding to that midnight Dynamical Time for the -date when you want to perform the calculation. 

-

Alpha1 The right ascension in hours of the object at time JD - 1 day

-

Delta1 The declination in degrees of the object at time JD - 1 day

-

Alpha2 The right ascension in hours of the object at time JD

-

Delta2 The declination in degrees of the object at time JD

-

Alpha3 The right ascension in hours of the object at time JD + 1 day

-

Delta3 The declination in degrees of the object at time JD + 1 day

-

Longitude The geographic longitude of the observer in degrees.

-

Latitude The geographic latitude of the observer in degrees.

-

h0 The "standard" altitude in degrees i.e. the geometric altitude -of the centre of the body at the time of the apparent rising or setting. For stars -and planets, you would normally use -0.5667, for the Sun you would use -0.8333 and -for the moon you would use 0.7275 * PI - 0.5666 where PI is the Moon's horizontal -parallax in degrees (If no great accuracy is required, the mean value of h0 = 0.125 -can be used).

-

Remarks

-

Bear in mind that the times calculated for the phenomena are for the same UTC -date. This means that when you are in a non GMT timezone, the calculated local times -can be for the previous or next day. Please bear this issue in mind if you are generating -an ephemeris of rise, transit and set times for a celestial object for a specific -range of local dates. In this case, you will need to rerun the calculation for the -previous or next UTC date if the calculated local date is not the same as the required -local date.

-

Another wrinkle to how this method operates is that the same event can occur -twice in the same day, even though this method does not provide a method to allow -this to be easily obtained. For example, imagine you are located in the timezone -PDT which is 4 hours behind GMT and you are calculating the times of sunset during -the month of August, when PDT would be in effect. During this period, the length -of the day is gradually reducing and the time of sunrise is getting earlier every -day. Combined with the fact that calculated time of Sunset for this period is around -20:00 local time or midnight UTC, you get this interesting effect where Sunrise -occurs just around midnight UTC and then again just before midnight the following -day! If you use the following code:

-
-
void main()
-
{
-
  CAADate CalcDate(2009, 8, 8, true);
-
  double JD = CalcDate.Julian();
-
  JD = CalcDate.Julian() + 0.010; //to get the - effect to be demonstrated
-
  for (int - i = 0; i<5; i++)
-
  {
-
    JD += 1.000;
-
    CAAEllipticalPlanetaryDetails SunDetails = CAAElliptical::Calculate(JD - - 1, CAAElliptical::SUN);
-
    double Alpha1 = SunDetails.ApparentGeocentricRA;
-
    double Delta1 = SunDetails.ApparentGeocentricDeclination;
-
    SunDetails = CAAElliptical::Calculate(JD, CAAElliptical::SUN);
-
    double Alpha2 = SunDetails.ApparentGeocentricRA;
-
    double Delta2 = SunDetails.ApparentGeocentricDeclination;
-
    SunDetails = CAAElliptical::Calculate(JD + 1, CAAElliptical::SUN);
-
    double Alpha3 = SunDetails.ApparentGeocentricRA;
-
    double Delta3 = SunDetails.ApparentGeocentricDeclination;
-
    CAARiseTransitSetDetails RiseTransitSetTime = CAARiseTransitSet::Rise(JD, - Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, 74.73057, 39.275787, -0.8333);
-
    doublertsJD = (JD + (RiseTransitSetTime.Set - / 24.00));
-
    doublelclJD = rtsJD - (4.00/24.00); - //Adjust for EDT -4 Hours
-
    CAADate SetDate(rtsJD,true);
-
    long setDay;
-
    long setMonth;
-
    long setYear;
-
    long setHours;
-
    long setMinuts;
-
    double setSec;
-
    SetDate.Get(setYear,setMonth, setDay, setHours, setMinuts, - setSec);
-
    printf("Sunset for %d/%d/%d - UTC occurs at %02d:%02d:%02d\n", setYear, setMonth, setDay, setHours, - setMinuts, static_cast<int>(setSec));
-
    CAADate SetLclDate(lclJD, true);
-
    long setlclDay;
-
    long setlclMonth;
-
    long setlclYear;
-
    long setlclHours;
-
    long setlclMinuts;
-
    double setlclSec;
-
    SetLclDate.Get(setlclYear,setlclMonth, setlclDay, setlclHours, - setlclMinuts, setlclSec);
-
    printf("Sunset for %d/%d/%d - PDT occurs at %02d:%02d:%02d\n\n", setlclYear, setlclMonth, setlclDay, - setlclHours, setlclMinuts, static_cast<int>(setlclSec));
-
  }
-
}
-
-

You will observe the following output, which demonstrates this effect:

-
-
Sunset for 2009/8/10 UTC occurs at 00:01:39
Sunset for 2009/8/9 PDT occurs - at 20:01:39

Sunset for 2009/8/11 UTC occurs at 00:00:25
Sunset for - 2009/8/10 PDT occurs at 20:00:25

Sunset for 2009/8/11 UTC occurs at 23:59:10
- Sunset for 2009/8/11 PDT occurs at 19:59:10

Sunset for 2009/8/12 UTC - occurs at 23:57:54
Sunset for 2009/8/12 PDT occurs at 19:57:54

Sunset - for 2009/8/13 UTC occurs at 23:56:37
Sunset for 2009/8/13 PDT occurs at 19:56:37
-
-

Your client code which uses this method will need to handle this situation itself.

-

Another issue with the algorithm is that under certain circumstances, the time -of an event (rise, transit or set) can be returned outside of the requested UTC -day. For example if you request the times of moon rise, set and transit for Cape -Town, South Africa on the 31st of October 2012 UTC you will get the following:
-
Rise (UTC): 2012-10-31 18:53:12
Transit (UTC): 2012-11-1 00:06:27
Set -(UTC): 2012-10-31 04:35:24

Note how the transit time is for the next UTC -day. If you were to run for the same location but for the date of 30th October 2012 -UTC you would get the following:

Rise (UTC): 2012-10-30 17:59:48
Transit -(UTC): 2012-10-30 23:19:04
Set (UTC): 2012-10-30 03:56:19

Because the -Moon takes roughly 45 minutes extra each day to return to the same position you -see that the Moon did not actually transit on the UTC day of 31st of October 2012 -from Cape Town. Client code should bear this in mind when generating an ephemeris -of times for a particular object.

-

 

-

 

-

CAASaturn

-

This class provides for calculation of the heliocentric position of Saturn. This -refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAASaturn::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASaturn::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASaturn::RadiusVector

-

static double RadiusVector(double JD, -bool bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAASaturnMoons

-

This class provides for calculation of positions of the principle moons of Saturn. -This refers to Chapter 46 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAASaturnMoons::Calculate

-

static CAASaturnMoonsDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class which itself contains a class for each moon. This contained class itself -contains

-

TrueRectangularCoordinates The true 3D rectangular coordinates of the -moon.

-

ApparentRectangularCoordinates The apparent 3D rectangular coordinates -of the moon.

-

bInTransit A Boolean which if true means that the moon is in front of -Saturn as viewed from the Earth otherwise false.

-

bInOccultation A Boolean which if true means that the moon is behind Saturn -as viewed from the Earth otherwise false.

-

bInEclipse A Boolean which if true means that the moon is behind Saturn -as viewed from the Sun otherwise false.

-

bInShadowTransit A Boolean which if true means that the moon is in front -of Saturn as viewed from the Earth otherwise false.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAASaturnRings

-

This class provides for calculation of various parameters related to the Rings -of Saturn. This refers to Chapter 45 in the book.

-

 

-

Functions this class provides include:

-

Calculate

-

 

-

CAASaturnRings::Calculate

-

static CAASaturnRingDetails Calculate(double JD, -bool bHighPrecision)

-

Return Value

-

A class containing

-

B The Saturnicentric latitude in degrees of the Earth referred to the -plane of the ring.

-

Bdash The Saturnicentric latitude in degrees of the Sun referred to the -plane of the ring.

-

P The geocentric position angle of the Northern semi minor axis of the -apparent ellipse of the ring.

-

a The major axis of the outer edge of the outer ring in arc seconds.

-

b The minor axis of the outer edge of the outer ring in arc seconds.

-

DeltaU The difference in degrees between the Saturnicentric longitudes -of the Sun and the Earth, measured in the plane of the ring. This quantity is required -for the calculation of Saturn's magnitude.

-

U1 The Saturnicentric longitude of the Sun in degrees.

-

U2 The Saturnicentic longitude of the Earth in degrees.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAASidereal

-

This class provides for the calculation of sidereal time. This refers to Chapter -12 in the book.

-

 

-

Functions this class provides include:

-

MeanGreenwichSiderealTime

-

ApparentGreenwichSiderealTime

-

 

-

CAASidereal::MeanGreenwichSiderealTime

-

static double MeanGreenwichSiderealTime(double JD)

-

Return Value

-

The Mean Greenwich Sidereal Time, that is, the Greenwich hour angle of the mean -vernal point (the intersection of the ecliptic of the date with the mean equator -of the date), expressed in hours.

-

Parameters

-

JD The Julian Day in Universal time to calculate for.

-

 

-

CAASidereal::ApparentGreenwichSiderealTime

-

static double ApparentGreenwichSiderealTime(double JD)

-

Return Value

-

The Apparent Greenwich Sidereal Time, that is, the Greenwich hour angle of the -true vernal equinox, expressed in hours.

-

Parameters

-

JD The Julian Day in Universal time to calculate for.

-

 

-

 

-

CAAStellarMagnitudes

-

This class provides for calculation of the combined magnitude of two stars. This -refers to Chapter 56 in the book.

-

 

-

Functions this class provides include:

-

CombinedMagnitude

-

CombinedMagnitude

-

BrightnessRatio

-

MagnitudeDifference

-

 

-

CAAStellarMagnitudes::CombinedMagnitude

-

static double CombinedMagnitude(double m1, double -m2)

-

Return Value

-

the combined magnitude of two stars.

-

Parameters

-

m1 The magnitude of the first star.

-

m2  The magnitude of the second star.

-

 

-

CAAStellarMagnitudes::CombinedMagnitude

-

static double CombinedMagnitude(int Magnitudes, -const double* pMagnitudes)

-

Return Value

-

the combined magnitude of more that two stars.

-

Parameters

-

Magnitudes The number of magnitudes to combine from "pMagnitudes".

-

magnitudes  The sum of all the star magnitudes.

-

 

-

CAAStellarMagnitudes::BrightnessRatio

-

static double BrightnessRatio(double m1, double -m2);

-

Return Value

-

the ratio of the apparent luminosities of the two stars.

-

Parameters

-

m1 The magnitude of the first star.

-

m2  The magnitude of the second star.

-

 

-

CAAStellarMagnitudes::MagnitudeDifference

-

static double MagnitudeDifference(double brightnessRatio)

-

Return Value

-

the difference in magnitude between the stars.

-

Parameters

-

brightnessRatio The ratio of the apparent luminosities of the two stars.

-

 

-

 

-

CAASun

-

This class provides for calculation of the geocentric position of the Sun. This -refers to Chapter 25 & 26 in the book.

-

 

-

Functions this class provides include:

-

GeometricEclipticLongitude

-

GeometricEclipticLatitude

-

GeometricFK5EclipticLongitude

-

GeometricFK5EclipticLatitude

-

ApparentEclipticLongitude

-

ApparentEclipticLatitude

-

EquatorialRectangularCoordinatesMeanEquinox

-

EclipticRectangularCoordinatesJ2000

-

EquatorialRectangularCoordinatesJ2000

-

EquatorialRectangularCoordinatesB1950

-

EquatorialRectangularCoordinatesAnyEquinox

-

 

-

CAASun::GeometricEclipticLongitude

-

static double GeometricEclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::GeometricEclipticLatitude

-

static double GeometricEclipticLatitude(double JD, - bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::GeometricFK5EclipticLongitude

-

static double GeometricFK5EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::GeometricFK5EclipticLatitude

-

static double GeometricFK5EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::ApparentEclipticLongitude

-

static double ApparentEclipticLongitude(double JD, - bool bHighPrecision)

-

Return Value

-

the apparent ecliptic longitude in degrees referred to the mean dynamical ecliptic -and equinox of the date defined in theFK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::ApparentEclipticLatitude

-

static double ApparentEclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the apparent ecliptic latitude in degrees referred to the mean dynamical ecliptic -and equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::EquatorialRectangularCoordinatesMeanEquinox

-

static CAA3DCoordinate EquatorialRectangularCoordinatesMeanEquinox(double -JD, bool bHighPrecision)

-

Return Value

-

A class containing the equatorial 3D rectangular coordinates in astronomical -units referred to the mean dynamical ecliptic and equinox of the date defined in -the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::EclipticRectangularCoordinatesJ2000

-

static CAA3DCoordinate EclipticRectangularCoordinatesJ2000(double -JD, bool bHighPrecision)

-

Return Value

-

A class containing the ecliptic 3D rectangular coordinates in astronomical units -referred to the J2000 equinox defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::EquatorialRectangularCoordinatesJ2000

-

static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double -JD, bool bHighPrecision)

-

Return Value

-

A class containing the equatorial 3D rectangular coordinates in astronomical -units referred to the J2000 equinox defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::EquatorialRectangularCoordinatesB1950

-

static CAA3DCoordinate EquatorialRectangularCoordinatesJ2000(double -JD, bool bHighPrecision)

-

Return Value

-

A class containing the equatorial 3D rectangular coordinates in astronomical -units referred to the B1950 equinox defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAASun::EquatorialRectangularCoordinatesAnyEquinox

-

static CAA3DCoordinate EquatorialRectangularCoordinatesAnyEquinox(double -JD, double JDEquinox)

-

Return Value

-

A class containing the equatorial 3D rectangular coordinates in astronomical -units referred to the specified equinox defined in the FK5 theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

JDEquinox The date in Dynamical time specifying the equinox to use.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAUranus

-

This class provides for calculation of the heliocentric position of Uranus. This -refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAUranus::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAUranus::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool -bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAUranus::RadiusVector

-

static double RadiusVector(double JD, -bool -bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAVenus

-

This class provides for calculation of the heliocentric position of Venus. This -refers to Chapter 32 in the book.

-

 

-

Functions this class provides include:

-

EclipticLongitude

-

EclipticLatitude

-

RadiusVector

-

 

-

CAAVenus::EclipticLongitude

-

static double EclipticLongitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic longitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAVenus::EclipticLatitude

-

static double EclipticLatitude(double JD, -bool bHighPrecision)

-

Return Value

-

the ecliptic latitude in degrees referred to the mean dynamical ecliptic and -equinox of the date defined in the VSOP theory.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

CAAVenus::RadiusVector

-

static double RadiusVector(double JD, -bool bHighPrecision)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

bHighPrecision If true then use the full VSOP87 theory instead of -the truncated version as provided in Meeus's book.

-

 

-

 

-

CAAVSOP87_EMB

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of the Earth-Moon Barycenter for the equinox and ecliptic of J2000.0. Please refer to - -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_EMB::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_EMB::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_EMB::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_EMB::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_EMB::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_EMB::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

 

-

CAAVSOP87_Jupiter

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Jupiter for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Jupiter::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Jupiter::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Jupiter::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Jupiter::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Jupiter::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Jupiter::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Mars

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Mars for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Mars::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mars::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mars::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mars::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mars::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mars::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Mercury

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Mercury for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Mercury::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mercury::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mercury::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mercury::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mercury::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Mercury::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Neptune

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Neptune for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Neptune::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Neptune::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Neptune::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Neptune::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Neptune::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Neptune::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Saturn

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Saturn for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Saturn::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Saturn::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Saturn::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Saturn::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Saturn::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Saturn::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Uranus

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Uranus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Uranus::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Uranus::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Uranus::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Uranus::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Uranus::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Uranus::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87_Venus

-

This class provides for calculation of the heliocentric ecliptical orbital -elements of Venus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

A

-

L

-

K

-

H

-

Q

-

P

-

 

-

CAAVSOP87_Venus::A

-

static double A(double JD)

-

Return Value

-

the semi-major axis in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Venus::L

-

static double L(double JD)

-

Return Value

-

the mean longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Venus::K

-

static double K(double JD)

-

Return Value

-

the K value as defined in VSOP87 i.e. k = e cos(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Venus::H

-

static double H(double JD)

-

Return Value

-

the H value as defined in VSOP87 i.e. h = e sin(p) where p is the perihelion -longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Venus::Q

-

static double Q(double JD)

-

Return Value

-

the Q value as defined in VSOP87 i.e. q = sin(g) cos(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87_Venus::P

-

static double P(double JD)

-

Return Value

-

the P value as defined in VSOP87 i.e. p = sin(g) sin(G) where g is the -semi-inclination and G is the ascending node longitude.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Earth

-

This class provides for calculation of the heliocentric rectangular position of the -Earth for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Earth::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Earth::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Earth::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Earth::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Earth::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Earth::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_EMB

-

This class provides for calculation of the heliocentric rectangular position of the -Earth-Moon Barycenter for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_EMB::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_EMB::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_EMB::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_EMB::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_EMB::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_EMB::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Jupiter

-

This class provides for calculation of the heliocentric rectangular position of -Jupiter for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Jupiter::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Jupiter::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Jupiter::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Jupiter::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Jupiter::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Jupiter::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Mars

-

This class provides for calculation of the heliocentric rectangular position of -Mars for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Mars::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mars::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mars::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mars::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mars::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mars::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Mercury

-

This class provides for calculation of the heliocentric rectangular position of -Mercury for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Mercury::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mercury::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mercury::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mercury::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mercury::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Mercury::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Neptune

-

This class provides for calculation of the heliocentric rectangular position of -Neptune for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Neptune::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Neptune::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Neptune::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Neptune::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Neptune::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Neptune::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Saturn

-

This class provides for calculation of the heliocentric rectangular position of -Saturn for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Saturn::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Saturn::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Saturn::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Saturn::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Saturn::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Saturn::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Uranus

-

This class provides for calculation of the heliocentric rectangular position of -Uranus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Uranus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Uranus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Uranus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Uranus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Uranus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Uranus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87A_Venus

-

This class provides for calculation of the heliocentric rectangular position of -Venus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87A_Venus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Venus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Venus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Venus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Venus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87A_Venus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Earth

-

This class provides for calculation of the heliocentric spherical position of -Earth for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Earth::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Earth::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Earth::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Earth::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Earth::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Earth::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Jupiter

-

This class provides for calculation of the heliocentric spherical position of -Jupiter for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Jupiter::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Jupiter::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Jupiter::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Jupiter::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Jupiter::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Jupiter::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Mars

-

This class provides for calculation of the heliocentric spherical position of -Mars for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Mars::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mars::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mars::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mars::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mars::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mars::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Mercury

-

This class provides for calculation of the heliocentric spherical position of -Mercury for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Mercury::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mercury::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mercury::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mercury::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mercury::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Mercury::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Neptune

-

This class provides for calculation of the heliocentric spherical position of -Neptune for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Neptune::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Neptune::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Neptune::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Neptune::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Neptune::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Neptune::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Saturn

-

This class provides for calculation of the heliocentric spherical position of -Saturn for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Saturn::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Saturn::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Saturn::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Saturn::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Saturn::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Saturn::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Uranus

-

This class provides for calculation of the heliocentric spherical position of -Uranus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Uranus::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Uranus::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Uranus::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Uranus::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Uranus::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Uranus::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87B_Venus

-

This class provides for calculation of the heliocentric spherical position of -Venus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87B_Venus::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Venus::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Venus::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Venus::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Venus::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87B_Venus::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Earth

-

This class provides for calculation of the heliocentric rectangular position of -Earth for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Earth::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Earth::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Earth::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Earth::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Earth::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Earth::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Jupiter

-

This class provides for calculation of the heliocentric rectangular position of -Jupiter for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Jupiter::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Jupiter::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Jupiter::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Jupiter::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Jupiter::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Jupiter::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Mars

-

This class provides for calculation of the heliocentric rectangular position of -Mars for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Mars::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mars::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mars::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mars::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mars::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mars::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Mercury

-

This class provides for calculation of the heliocentric rectangular position of -Mercury for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Mercury::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mercury::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mercury::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mercury::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mercury::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Mercury::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Neptune

-

This class provides for calculation of the heliocentric rectangular position of -Neptune for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Neptune::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Neptune::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Neptune::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Neptune::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Neptune::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Neptune::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Saturn

-

This class provides for calculation of the heliocentric rectangular position of -Saturn for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Saturn::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Saturn::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Saturn::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Saturn::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Saturn::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Saturn::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Uranus

-

This class provides for calculation of the heliocentric rectangular position of -Uranus for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Uranus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Uranus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Uranus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Uranus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Uranus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Uranus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87C_Venus

-

This class provides for calculation of the heliocentric rectangular position of -Venus for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87C_Venus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Venus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Venus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Venus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Venus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87C_Venus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Earth

-

This class provides for calculation of the heliocentric spherical position of -Earth for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Earth::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Earth::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Earth::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Earth::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Earth::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Earth::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Jupiter

-

This class provides for calculation of the heliocentric spherical position of -Jupiter for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Jupiter::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Jupiter::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Jupiter::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Jupiter::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Jupiter::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Jupiter::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Mars

-

This class provides for calculation of the heliocentric spherical position of -Mars for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Mars::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mars::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mars::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mars::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mars::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mars::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Mercury

-

This class provides for calculation of the heliocentric spherical position of -Mercury for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Mercury::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mercury::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mercury::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mercury::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mercury::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Mercury::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Neptune

-

This class provides for calculation of the heliocentric spherical position of -Neptune for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Neptune::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Neptune::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Neptune::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Neptune::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Neptune::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Neptune::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Saturn

-

This class provides for calculation of the heliocentric spherical position of -Saturn for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Saturn::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Saturn::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Saturn::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Saturn::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Saturn::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Saturn::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Uranus

-

This class provides for calculation of the heliocentric spherical position of -Uranus for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Uranus::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Uranus::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Uranus::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Uranus::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Uranus::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Uranus::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87D_Venus

-

This class provides for calculation of the heliocentric spherical position of -Venus for the equinox and ecliptic of date. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

L

-

L_DASH

-

B

-

B_DASH

-

R

-

R_DASH

-

 

-

CAAVSOP87D_Venus::L

-

static double L(double JD)

-

Return Value

-

the ecliptic longitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Venus::L_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic longitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Venus::B

-

static double B(double JD)

-

Return Value

-

the ecliptic latitude in radians.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Venus::B_DASH

-

static double B_DASH(double JD)

-

Return Value

-

the rate of change of the ecliptic latitude in radians / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Venus::R

-

static double R(double JD)

-

Return Value

-

the radius vector in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87D_Venus::R_DASH

-

static double R_DASH(double JD)

-

Return Value

-

the rate of change of the radius vector in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Earth

-

This class provides for calculation of the barycentric rectangular position of -Earth for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Earth::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Earth::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Earth::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Earth::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Earth::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Earth::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Jupiter

-

This class provides for calculation of the barycentric rectangular position of -Jupiter for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Jupiter::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Jupiter::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Jupiter::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Jupiter::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Jupiter::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Jupiter::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Mars

-

This class provides for calculation of the barycentric rectangular position of -Mars for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Mars::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mars::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mars::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mars::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mars::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mars::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Mercury

-

This class provides for calculation of the barycentric rectangular position of -Mercury for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Mercury::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mercury::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mercury::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mercury::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mercury::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Mercury::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Neptune

-

This class provides for calculation of the barycentric rectangular position of -Neptune for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Neptune::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Neptune::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Neptune::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Neptune::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Neptune::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Neptune::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Saturn

-

This class provides for calculation of the barycentric rectangular position of -Saturn for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Saturn::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Saturn::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Saturn::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Saturn::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Saturn::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Saturn::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Sun

-

This class provides for calculation of the barycentric rectangular position of -the Sun for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Sun::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Sun::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Sun::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Sun::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Sun::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Sun::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Uranus

-

This class provides for calculation of the barycentric rectangular position of -Uranus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Uranus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Uranus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Uranus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Uranus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Uranus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Uranus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

CAAVSOP87E_Venus

-

This class provides for calculation of the barycentric rectangular position of -Venus for the equinox and ecliptic of J2000.0. Please refer to -ftp://cdsarc.u-strasbg.fr/pub/cats/VI/81/ for further details.

-

 

-

Functions this class provides include:

-

X

-

X_DASH

-

Y

-

Y_DASH

-

Z

-

Z_DASH

-

 

-

CAAVSOP87E_Venus::X

-

static double X(double JD)

-

Return Value

-

the X position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Venus::X_DASH

-

static double X_DASH(double JD)

-

Return Value

-

the rate of change of the X position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Venus::Y

-

static double X(double JD)

-

Return Value

-

the Y position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Venus::Y_DASH

-

static double Y_DASH(double JD)

-

Return Value

-

the rate of change of the Y position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Venus::Z

-

static double Z(double JD)

-

Return Value

-

the Z position component in astronomical units.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

CAAVSOP87E_Venus::Z_DASH

-

static double Z_DASH(double JD)

-

Return Value

-

the rate of change of the Z position component in astronomical units / day.

-

Parameters

-

JD The date in Dynamical time to calculate for.

-

 

-

 

-

References

-
    -
  • The book "Astronomical Algorithms" by Jean Meeus, which you can - purchase from - - Amazon or directly from the publishers - Willman-Bell
    • -
  • The Near Parabolic class "CAANearParabolic" is based upon the - worked examples which Paul Schlyter has provided at - http://stjarnhimlen.se/comp/tutorial.html#16
    • -
  • As mentioned in the History section of this document, the "CAAMoslemCalendar" - class has known bugs. If you would like a robust high performance template based - implementation of the various versions of the Algorithmic Moslem Calendar, then - check out the author's - DTime+ download.
    • -
- - -

 

-

 

-

 

-

Contacting the Author

-

PJ Naughter
Email: pjna@naughter.com
-Web: http://www.naughter.com
16 -September 2015

- - - - diff --git a/Vendor/AA+/1.6.3/AAAberration.cpp b/Vendor/AA+/1.6.3/AAAberration.cpp deleted file mode 100755 index e747c5e..0000000 --- a/Vendor/AA+/1.6.3/AAAberration.cpp +++ /dev/null @@ -1,221 +0,0 @@ -/* -Module : AAABERRATION.CPP -Purpose: Implementation for the algorithms for Aberration -Created: PJN / 29-12-2003 -History: PJN / 21-04-2005 1. Renamed "AAAberation.cpp" to "AAAberration.cpp" so that all source code filenames - match their corresponding header files. Thanks to Jürgen Schuck for suggesting this - update. - PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 16-09-2015 1. CAAAberration::EclipticAberration, EarthVelocity and EquatorialAberration now - include a "bool bHighPrecision" parameter which if set to true means the code uses - the full VSOP87 theory rather than the truncated theory as presented in Meeus's - book. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////////////// Includes ////////////////////////////////////// - -#include "stdafx.h" -#include "AAAberration.h" -#include "AACoordinateTransformation.h" -#include "AAEarth.h" -#include "AASun.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87A_EAR.h" -#include "AAFK5.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -////////////////////////////// Macros / Defines /////////////////////////////// - -struct AberrationCoefficient -{ - int L2; - int L3; - int L4; - int L5; - int L6; - int L7; - int L8; - int Ldash; - int D; - int Mdash; - int F; - int xsin; - int xsint; - int xcos; - int xcost; - int ysin; - int ysint; - int ycos; - int ycost; - int zsin; - int zsint; - int zcos; - int zcost; -}; - -const AberrationCoefficient g_AberrationCoefficients[] = -{ - //L2 L3 L4 L5 L6 L7 L8 Ldash D Mdash F xsin xsint xcos xcost ysin ysint ycos ycost zsin zsint zcos zcost - { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1719914, -2, -25, 0, 25, -13, 1578089, 156, 10, 32, 684185, -358 }, - { 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6434, 141, 28007, -107, 25697, -95, -5904, -130, 11141, -48, -2559, -55 }, - { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 715, 0, 0, 0, 6, 0, -657, 0, -15, 0, -282, 0 }, - { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 715, 0, 0, 0, 0, 0, -656, 0, 0, 0, -285, 0 }, - { 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 486, -5, -236, -4, -216, -4, -446, 5, -94, 0, -193, 0 }, - { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 159, 0, 0, 0, 2, 0, -147, 0, -6, 0, -61, 0 }, - { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, -59, 0 }, - { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 39, 0, 0, 0, 0, 0, -36, 0, 0, 0, -16, 0 }, - { 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 33, 0, -10, 0, -9, 0, -30, 0, -5, 0, -13, 0 }, - { 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 31, 0, 1, 0, 1, 0, -28, 0, 0, 0, -12, 0 }, - { 0, 3, -8, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, 25, 0, 8, 0, 11, 0, 3, 0 }, - { 0, 5, -8, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, -25, 0, -8, 0, -11, 0, -3, 0 }, - { 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, -19, 0, 0, 0, -8, 0 }, - { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 17, 0, 0, 0, 8, 0 }, - { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, -16, 0, 0, 0, -7, 0 }, - { 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 15, 0, 1, 0, 7, 0 }, - { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 16, 0, 0, 0, 1, 0, -15, 0, -3, 0, -6, 0 }, - { 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 11, 0, -1, 0, -1, 0, -10, 0, -1, 0, -5, 0 }, - { 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, -10, 0, 0, 0, -4, 0, 0, 0 }, - { 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -11, 0, -2, 0, -2, 0, 9, 0, -1, 0, 4, 0 }, - { 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -8, 0, -8, 0, 6, 0, -3, 0, 3, 0 }, - { 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 0 }, - { 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -9, 0, 0, 0, -4, 0 }, - { 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0 }, - { 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, -8, 0, 0, 0, -3, 0, 0, 0 }, - { 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 8, 0, 0, 0, 3, 0, 0, 0 }, - { 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -3, 0 }, - { 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, 0, 8, 0, 0, 0, 0, 0, -7, 0, 0, 0, -3, 0 }, - { 8, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -7, 0, -6, 0, 4, 0, -3, 0, 2, 0 }, - { 8, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -7, 0, 6, 0, -4, 0, 3, 0, -2, 0 }, - { 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -5, 0, -4, 0, 5, 0, -2, 0, 2, 0 }, - { 3, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -7, 0, 1, 0, -4, 0 }, - { 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, -5, 0, -4, 0, -2, 0, -2, 0 }, - { 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -6, 0, 0, 0, -3, 0, 0, 0 }, - { 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, -5, 0, -4, 0, -5, 0, -2, 0, -2, 0 }, - { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 5, 0, 0, 0, 0, 0, -5, 0, 0, 0, -2, 0 }, -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -//////////////////////////////// Implementation /////////////////////////////// - -CAA3DCoordinate CAAAberration::EarthVelocity(double JD, bool bHighPrecision) -{ - CAA3DCoordinate velocity; - -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - { - velocity.X = CAAVSOP87A_Earth::X_DASH(JD); - velocity.Y = CAAVSOP87A_Earth::Y_DASH(JD); - velocity.Z = CAAVSOP87A_Earth::Z_DASH(JD); - velocity = CAAFK5::ConvertVSOPToFK5J2000(velocity); - velocity.X *= 100000000; - velocity.Y *= 100000000; - velocity.Z *= 100000000; - return velocity; - } -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif - - double T = (JD - 2451545) / 36525; - double L2 = 3.1761467 + 1021.3285546 * T; - double L3 = 1.7534703 + 628.3075849 * T; - double L4 = 6.2034809 + 334.0612431 * T; - double L5 = 0.5995465 + 52.9690965 * T; - double L6 = 0.8740168 + 21.3299095 * T; - double L7 = 5.4812939 + 7.4781599 * T; - double L8 = 5.3118863 + 3.8133036 * T; - double Ldash = 3.8103444 + 8399.6847337 * T; - double D = 5.1984667 + 7771.3771486 * T; - double Mdash = 2.3555559 + 8328.6914289 * T; - double F = 1.6279052 + 8433.4661601 * T; - - int nAberrationCoefficients = sizeof(g_AberrationCoefficients) / sizeof(AberrationCoefficient); - for (int i=0; i -using namespace std; - - -////////////////////////////////// Implementation ///////////////////////////// - -CAABinaryStarDetails CAABinaryStar::Calculate(double t, double P, double T, double e, double a, double i, double omega, double w) -{ - double n = 360 / P; - double M = CAACoordinateTransformation::MapTo0To360Range(n*(t - T)); - double E = CAAKepler::Calculate(M, e); - E = CAACoordinateTransformation::DegreesToRadians(E); - i = CAACoordinateTransformation::DegreesToRadians(i); - w = CAACoordinateTransformation::DegreesToRadians(w); - omega = CAACoordinateTransformation::DegreesToRadians(omega); - - CAABinaryStarDetails details; - - details.r = a*(1 - e*cos(E)); - - double v = atan(sqrt((1 + e) / (1 - e)) * tan(E/2)) * 2; - details.Theta = atan2(sin(v + w) * cos(i), cos(v + w)) + omega; - details.Theta = CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(details.Theta)); - - double sinvw = sin(v + w); - double cosvw = cos(v + w); - double cosi = cos(i); - details.Rho = details.r * sqrt((sinvw*sinvw*cosi*cosi) + (cosvw*cosvw)); - - return details; -} - -double CAABinaryStar::ApparentEccentricity(double e, double i, double w) -{ - i = CAACoordinateTransformation::DegreesToRadians(i); - w = CAACoordinateTransformation::DegreesToRadians(w); - - double cosi = cos(i); - double cosw = cos(w); - double sinw = sin(w); - double esquared = e*e; - double A = (1 - esquared*cosw*cosw)*cosi*cosi; - double B = esquared*sinw*cosw*cosi; - double C = 1 - esquared*sinw*sinw; - double D = (A - C)*(A - C) + 4*B*B; - - double sqrtD = sqrt(D); - return sqrt(2*sqrtD / (A + C + sqrtD)); -} diff --git a/Vendor/AA+/1.6.3/AADate.h b/Vendor/AA+/1.6.3/AADate.h deleted file mode 100755 index 17a7210..0000000 --- a/Vendor/AA+/1.6.3/AADate.h +++ /dev/null @@ -1,115 +0,0 @@ -/* -Module : AADATE.H -Purpose: Implementation for the algorithms which convert between the Gregorian and Julian calendars and the Julian Day -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AADATE_H__ -#define __AADATE_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAACalendarDate -{ -public: -//Constructors / Destructors - CAACalendarDate() : Year(0), - Month(0), - Day(0) - { - }; - -//Member variables - long Year; - long Month; - long Day; -}; - - -class AAPLUS_EXT_CLASS CAADate -{ -public: -//Enums - enum DAY_OF_WEEK - { - SUNDAY = 0, - MONDAY = 1, - TUESDAY = 2, - WEDNESDAY = 3, - THURSDAY = 4, - FRIDAY = 5, - SATURDAY = 6 - }; - -//Constructors / Destructors - CAADate(); - CAADate(long Year, long Month, double Day, bool bGregorianCalendar); - CAADate(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar); - CAADate(double JD, bool bGregorianCalendar); - -//Static Methods - static double DateToJD(long Year, long Month, double Day, bool bGregorianCalendar); - static bool IsLeap(long Year, bool bGregorianCalendar); - static void DayOfYearToDayAndMonth(long DayOfYear, bool bLeap, long& DayOfMonth, long& Month); - static CAACalendarDate JulianToGregorian(long Year, long Month, long Day); - static CAACalendarDate GregorianToJulian(long Year, long Month, long Day); - static long INT(double value); - static bool AfterPapalReform(long Year, long Month, double Day); - static bool AfterPapalReform(double JD); - static double DayOfYear(double JD, long Year, bool bGregorianCalendar); - static long DaysInMonth(long Month, bool bLeap); - -//Non Static methods - double Julian() const { return m_dblJulian; }; - operator double() const { return m_dblJulian; }; - long Day() const; - long Month() const; - long Year() const; - long Hour() const; - long Minute() const; - double Second() const; - void Set(long Year, long Month, double Day, double Hour, double Minute, double Second, bool bGregorianCalendar); - void Set(double JD, bool bGregorianCalendar); - void SetInGregorianCalendar(bool bGregorianCalendar); - void Get(long& Year, long& Month, long& Day, long& Hour, long& Minute, double& Second) const; - DAY_OF_WEEK DayOfWeek() const; - double DayOfYear() const; - long DaysInMonth() const; - long DaysInYear() const; - bool Leap() const; - bool InGregorianCalendar() const { return m_bGregorianCalendar; }; - double FractionalYear() const; - -protected: -//Member variables - double m_dblJulian; //Julian Day number for this date - bool m_bGregorianCalendar; //Is this date in the Gregorian calendar -}; - - -#endif //#ifndef __AADATE_H__ diff --git a/Vendor/AA+/1.6.3/AADiameters.cpp b/Vendor/AA+/1.6.3/AADiameters.cpp deleted file mode 100755 index a3a978b..0000000 --- a/Vendor/AA+/1.6.3/AADiameters.cpp +++ /dev/null @@ -1,176 +0,0 @@ -/* -Module : AADIAMETERS.CPP -Purpose: Implementation for the algorithms for the semi diameters of the Sun, Moon, Planets and Asteroids -Created: PJN / 15-01-2004 -History: None - -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -//////////////////// Includes ///////////////////////////////////////////////// - -#include "stdafx.h" -#include "AADiameters.h" -#include "AACoordinateTransformation.h" -#include "AAGlobe.h" -#include -using namespace std; - - -//////////////////// Implementation /////////////////////////////////////////// - -double CAADiameters::SunSemidiameterA(double Delta) -{ - return 959.63/Delta; -} - -double CAADiameters::MercurySemidiameterA(double Delta) -{ - return 3.34/Delta; -} - -double CAADiameters::VenusSemidiameterA(double Delta) -{ - return 8.41/Delta; -} - -double CAADiameters::MarsSemidiameterA(double Delta) -{ - return 4.68/Delta; -} - -double CAADiameters::JupiterEquatorialSemidiameterA(double Delta) -{ - return 98.47/Delta; -} - -double CAADiameters::JupiterPolarSemidiameterA(double Delta) -{ - return 91.91/Delta; -} - -double CAADiameters::SaturnEquatorialSemidiameterA(double Delta) -{ - return 83.33/Delta; -} - -double CAADiameters::SaturnPolarSemidiameterA(double Delta) -{ - return 74.57/Delta; -} - -double CAADiameters::ApparentSaturnPolarSemidiameterA(double Delta, double B) -{ - double cosB = cos(CAACoordinateTransformation::DegreesToRadians(B)); - return SaturnPolarSemidiameterA(Delta)*sqrt(1 - 0.199197*cosB*cosB); -} - -double CAADiameters::UranusSemidiameterA(double Delta) -{ - return 34.28/Delta; -} - -double CAADiameters::NeptuneSemidiameterA(double Delta) -{ - return 36.56/Delta; -} - -double CAADiameters::MercurySemidiameterB(double Delta) -{ - return 3.36/Delta; -} - -double CAADiameters::VenusSemidiameterB(double Delta) -{ - return 8.34/Delta; -} - -double CAADiameters::MarsSemidiameterB(double Delta) -{ - return 4.68/Delta; -} - -double CAADiameters::JupiterEquatorialSemidiameterB(double Delta) -{ - return 98.44/Delta; -} - -double CAADiameters::JupiterPolarSemidiameterB(double Delta) -{ - return 92.06/Delta; -} - -double CAADiameters::SaturnEquatorialSemidiameterB(double Delta) -{ - return 82.73/Delta; -} - -double CAADiameters::SaturnPolarSemidiameterB(double Delta) -{ - return 73.82/Delta; -} - -double CAADiameters::ApparentSaturnPolarSemidiameterB(double Delta, double B) -{ - double cosB = cos(CAACoordinateTransformation::DegreesToRadians(B)); - return SaturnPolarSemidiameterB(Delta)*sqrt(1 - 0.203800*cosB*cosB); -} - -double CAADiameters::UranusSemidiameterB(double Delta) -{ - return 35.02/Delta; -} - -double CAADiameters::NeptuneSemidiameterB(double Delta) -{ - return 33.50/Delta; -} - -double CAADiameters::PlutoSemidiameterB(double Delta) -{ - return 2.07/Delta; -} - -double CAADiameters::GeocentricMoonSemidiameter(double Delta) -{ - return CAACoordinateTransformation::RadiansToDegrees(0.272481*6378.14/Delta)*3600; -} - -double CAADiameters::TopocentricMoonSemidiameter(double DistanceDelta, double Delta, double H, double Latitude, double Height) -{ - //Convert to radians - H = CAACoordinateTransformation::HoursToRadians(H); - Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - - double pi = asin(6378.14/DistanceDelta); - double A = cos(Delta)*sin(H); - double B = cos(Delta)*cos(H) - CAAGlobe::RhoCosThetaPrime(Latitude, Height)*sin(pi); - double C = sin(Delta) - CAAGlobe::RhoSinThetaPrime(Latitude, Height)*sin(pi); - double q = sqrt(A*A + B*B + C*C); - - double s = CAACoordinateTransformation::DegreesToRadians(GeocentricMoonSemidiameter(DistanceDelta)/3600); - return CAACoordinateTransformation::RadiansToDegrees(asin(sin(s)/q))*3600; -} - -double CAADiameters::AsteroidDiameter(double H, double A) -{ - double x = 3.12 - H/5 - 0.217147*log(A); - return pow(10.0, x); -} - -double CAADiameters::ApparentAsteroidDiameter(double Delta, double d) -{ - return 0.0013788*d/Delta; -} diff --git a/Vendor/AA+/1.6.3/AADiameters.h b/Vendor/AA+/1.6.3/AADiameters.h deleted file mode 100755 index f248701..0000000 --- a/Vendor/AA+/1.6.3/AADiameters.h +++ /dev/null @@ -1,70 +0,0 @@ -/* -Module : AADIAMETERS.H -Purpose: Implementation for the algorithms for the semi diameters of the Sun, Moon, Planets, and Asteroids -Created: PJN / 15-01-2004 - -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AADIAMETERS_H__ -#define __AADIAMETERS_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAADiameters -{ -public: -//Static methods - static double SunSemidiameterA(double Delta); - static double MercurySemidiameterA(double Delta); - static double VenusSemidiameterA(double Delta); - static double MarsSemidiameterA(double Delta); - static double JupiterEquatorialSemidiameterA(double Delta); - static double JupiterPolarSemidiameterA(double Delta); - static double SaturnEquatorialSemidiameterA(double Delta); - static double SaturnPolarSemidiameterA(double Delta); - static double ApparentSaturnPolarSemidiameterA(double Delta, double B); - static double UranusSemidiameterA(double Delta); - static double NeptuneSemidiameterA(double Delta); - static double MercurySemidiameterB(double Delta); - static double VenusSemidiameterB(double Delta); - static double MarsSemidiameterB(double Delta); - static double JupiterEquatorialSemidiameterB(double Delta); - static double JupiterPolarSemidiameterB(double Delta); - static double SaturnEquatorialSemidiameterB(double Delta); - static double SaturnPolarSemidiameterB(double Delta); - static double ApparentSaturnPolarSemidiameterB(double Delta, double B); - static double UranusSemidiameterB(double Delta); - static double NeptuneSemidiameterB(double Delta); - static double PlutoSemidiameterB(double Delta); - static double GeocentricMoonSemidiameter(double Delta); - static double TopocentricMoonSemidiameter(double DistanceDelta, double Delta, double H, double Latitude, double Height); - static double AsteroidDiameter(double H, double A); - static double ApparentAsteroidDiameter(double H, double A); -}; - - -#endif //#ifndef __AADIAMETERS_H__ diff --git a/Vendor/AA+/1.6.3/AADynamicalTime.cpp b/Vendor/AA+/1.6.3/AADynamicalTime.cpp deleted file mode 100755 index 5f723db..0000000 --- a/Vendor/AA+/1.6.3/AADynamicalTime.cpp +++ /dev/null @@ -1,912 +0,0 @@ -/* -Module : AADYNAMICALTIME.CPP -Purpose: Implementation for the algorithms which provides for conversion between Universal Time (both UT1 and UTC) and Terrestrial Time (TT) aka Terrestrial Dynamical Time (TDT) - aka Ephemeris Time (ET) -Created: PJN / 29-12-2003 -History: PJN / 01-02-2005 1. Fixed a problem with the declaration of the variable "Index" in the function - CAADynamicalTime::DeltaT. Thanks to Mika Heiskanen for reporting this problem. - PJN / 26-01-2007 1. Update to fit in with new layout of CAADate class - PJN / 28-01-2007 1. Further updates to fit in with new layout of CAADate class - PJN / 08-05-2011 1. Fixed a compilation issue on GCC where size_t was undefined in various methods. Thanks to - Carsten A. Arnholm and Andrew Hammond for reporting this bug. - PJN / 01-05-2012 1. Updated CAADynamicalTime::DeltaT to use new polynomical expressions from Espenak & Meeus 2006. - References used: http://eclipse.gsfc.nasa.gov/SEcat5/deltatpoly.html and - http://www.staff.science.uu.nl/~gent0113/deltat/deltat_old.htm (Espenak & Meeus 2006 section). - Thanks to Murphy Chesney for prompting this update. - PJN / 02-05-2012 1. To further improve the accuracy of the CAADynamicalTime::DeltaT method, the code now uses a - lookup table between the dates of 1 February 1973 to 1 April 2012 (for observed values) and predicted - values from April 2012 till April 2015. These values are as provided by IERS Rapid - Service/Prediction Center at http://maia.usno.navy.mil/ser7/deltat.data and - http://maia.usno.navy.mil/ser7/deltat.preds. This lookup table will of course need to be kept up to - date as IERS update this information. As currently coded there is a single discontinuity of c. one second - in early April 2015. At this point http://maia.usno.navy.mil/ser7/deltat.preds indicates an error value - for DeltaT of about 0.9 seconds anyway. - 2. A new CAADynamicalTime::CumulativeLeapSeconds has been provided. This method takes as input the Julian - Day value and returns the cumulative total of Leap seconds which have been applied to this point. For more - information about leap seconds please see http://en.wikipedia.org/wiki/Leap_second. Using this method you - can now implement code which converts from Terrestial Time to Coordinated Universal time as follows: - - double TerrestialTime = some calculation using AA+ algorithms(JD); - double DeltaT = CAADynamicalTime::DeltaT(JD); - double UniversalTime1 = TerrestialTime - DeltaT/86400.0; //The time of the event using the UT1 time scale - double TerrestialAtomicTime = TerrestialTime - (32.184/86400.0); //The time of the event using the TAI time scale - double CumulativeLeapSeconds = CAADynamicalTime::CumulativeLeapSeconds(JD); - double CoordinatedUniversalTime = (DeltaT - CumulativeLeapSeconds - 32.184)/86400.0 + UniversalTime1; //The time of the event using the UTC time scale - PJN / 13-10-2012 1. Fixed a typo in the spelling of Coefficient throughout the AADynamicalTime.cpp module - PJN / 04-08-2013 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2013 - 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2023 - PJN / 28-10-2013 1. Addition of a TT2UTC method which converts from TT to UTC. - 2. Addition of a UTC2TT method which converts from UTC to TT. - 3. Addition of a TT2TAI method which converts from TT to TAI. - 4. Addition of a TAI2TT method which converts from TAI to TT. - 5. Addition of a TT2UT1 method which converts from TT to UT1. - 6. Addition of a UT12TT method which converts from UT1 to TT. - 7. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st September 2013 - 8. Addition of a UT1MinusUTC method which returns UT1 - UTC. - PJN / 12-11-2014 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st October 2014 - 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024 - PJN / 15-02-2015 1. Updated copyright details. - 2. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st January 2015 - 3. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2024 - 4. Updated the CumulativeLeapSeconds table from http://maia.usno.navy.mil/ser7/tai-utc.dat to 1st July 2015 - PJN / 05-07-2015 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st April 2015 - PJN / 01-09-2015 1. Updated the observed DeltaT values from http://maia.usno.navy.mil/ser7/deltat.data to 1st July 2015 - 2. Updated the predicted DeltaT values from http://maia.usno.navy.mil/ser7/deltat.preds to 1st January 2025 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -////////////////////////////////// Includes /////////////////////////////////// - -#include "stdafx.h" -#include "AADynamicalTime.h" -#include "AADate.h" -#include -#include -using namespace std; - - -////////////////////////////////// Macros / Defines /////////////////////////// - -struct DeltaTValue -{ - double JD; - double DeltaT; -}; - -const DeltaTValue g_DeltaTValues[] = -{ -//All the initial values are observed values from 1 February 1973 to 1 October 2014 as taken from http://maia.usno.navy.mil/ser7/deltat.data - { 2441714.5, 43.4724 }, - { 2441742.5, 43.5648 }, - { 2441773.5, 43.6737 }, - { 2441803.5, 43.7782 }, - { 2441834.5, 43.8763 }, - { 2441864.5, 43.9562 }, - { 2441895.5, 44.0315 }, - { 2441926.5, 44.1132 }, - { 2441956.5, 44.1982 }, - { 2441987.5, 44.2952 }, - { 2442017.5, 44.3936 }, - { 2442048.5, 44.4841 }, - { 2442079.5, 44.5646 }, - { 2442107.5, 44.6425 }, - { 2442138.5, 44.7386 }, - { 2442168.5, 44.8370 }, - { 2442199.5, 44.9302 }, - { 2442229.5, 44.9986 }, - { 2442260.5, 45.0584 }, - { 2442291.5, 45.1284 }, - { 2442321.5, 45.2064 }, - { 2442352.5, 45.2980 }, - { 2442382.5, 45.3897 }, - { 2442413.5, 45.4761 }, - { 2442444.5, 45.5633 }, - { 2442472.5, 45.6450 }, - { 2442503.5, 45.7375 }, - { 2442533.5, 45.8284 }, - { 2442564.5, 45.9133 }, - { 2442594.5, 45.9820 }, - { 2442625.5, 46.0408 }, - { 2442656.5, 46.1067 }, - { 2442686.5, 46.1825 }, - { 2442717.5, 46.2789 }, - { 2442747.5, 46.3713 }, - { 2442778.5, 46.4567 }, - { 2442809.5, 46.5445 }, - { 2442838.5, 46.6311 }, - { 2442869.5, 46.7302 }, - { 2442899.5, 46.8284 }, - { 2442930.5, 46.9247 }, - { 2442960.5, 46.9970 }, - { 2442991.5, 47.0709 }, - { 2443022.5, 47.1451 }, - { 2443052.5, 47.2362 }, - { 2443083.5, 47.3413 }, - { 2443113.5, 47.4319 }, - { 2443144.5, 47.5214 }, - { 2443175.5, 47.6049 }, - { 2443203.5, 47.6837 }, - { 2443234.5, 47.7781 }, - { 2443264.5, 47.8771 }, - { 2443295.5, 47.9687 }, - { 2443325.5, 48.0348 }, - { 2443356.5, 48.0942 }, - { 2443387.5, 48.1608 }, - { 2443417.5, 48.2460 }, - { 2443448.5, 48.3439 }, - { 2443478.5, 48.4355 }, - { 2443509.5, 48.5344 }, - { 2443540.5, 48.6325 }, - { 2443568.5, 48.7294 }, - { 2443599.5, 48.8365 }, - { 2443629.5, 48.9353 }, - { 2443660.5, 49.0319 }, - { 2443690.5, 49.1013 }, - { 2443721.5, 49.1591 }, - { 2443752.5, 49.2286 }, - { 2443782.5, 49.3070 }, - { 2443813.5, 49.4018 }, - { 2443843.5, 49.4945 }, - { 2443874.5, 49.5862 }, - { 2443905.5, 49.6805 }, - { 2443933.5, 49.7602 }, - { 2443964.5, 49.8556 }, - { 2443994.5, 49.9489 }, - { 2444025.5, 50.0347 }, - { 2444055.5, 50.1019 }, - { 2444086.5, 50.1622 }, - { 2444117.5, 50.2260 }, - { 2444147.5, 50.2968 }, - { 2444178.5, 50.3831 }, - { 2444208.5, 50.4599 }, - { 2444239.5, 50.5387 }, - { 2444270.5, 50.6161 }, - { 2444299.5, 50.6866 }, - { 2444330.5, 50.7658 }, - { 2444360.5, 50.8454 }, - { 2444391.5, 50.9187 }, - { 2444421.5, 50.9761 }, - { 2444452.5, 51.0278 }, - { 2444483.5, 51.0843 }, - { 2444513.5, 51.1538 }, - { 2444544.5, 51.2319 }, - { 2444574.5, 51.3063 }, - { 2444605.5, 51.3808 }, - { 2444636.5, 51.4526 }, - { 2444664.5, 51.5160 }, - { 2444695.5, 51.5985 }, - { 2444725.5, 51.6809 }, - { 2444756.5, 51.7573 }, - { 2444786.5, 51.8133 }, - { 2444817.5, 51.8532 }, - { 2444848.5, 51.9014 }, - { 2444878.5, 51.9603 }, - { 2444909.5, 52.0328 }, - { 2444939.5, 52.0985 }, - { 2444970.5, 52.1668 }, - { 2445001.5, 52.2316 }, - { 2445029.5, 52.2938 }, - { 2445060.5, 52.3680 }, - { 2445090.5, 52.4465 }, - { 2445121.5, 52.5180 }, - { 2445151.5, 52.5752 }, - { 2445182.5, 52.6178 }, - { 2445213.5, 52.6668 }, - { 2445243.5, 52.7340 }, - { 2445274.5, 52.8056 }, - { 2445304.5, 52.8792 }, - { 2445335.5, 52.9565 }, - { 2445366.5, 53.0445 }, - { 2445394.5, 53.1268 }, - { 2445425.5, 53.2197 }, - { 2445455.5, 53.3024 }, - { 2445486.5, 53.3747 }, - { 2445516.5, 53.4335 }, - { 2445547.5, 53.4778 }, - { 2445578.5, 53.5300 }, - { 2445608.5, 53.5845 }, - { 2445639.5, 53.6523 }, - { 2445669.5, 53.7256 }, - { 2445700.5, 53.7882 }, - { 2445731.5, 53.8367 }, - { 2445760.5, 53.8830 }, - { 2445791.5, 53.9443 }, - { 2445821.5, 54.0042 }, - { 2445852.5, 54.0536 }, - { 2445882.5, 54.0856 }, - { 2445913.5, 54.1084 }, - { 2445944.5, 54.1463 }, - { 2445974.5, 54.1914 }, - { 2446005.5, 54.2452 }, - { 2446035.5, 54.2958 }, - { 2446066.5, 54.3427 }, - { 2446097.5, 54.3911 }, - { 2446125.5, 54.4320 }, - { 2446156.5, 54.4898 }, - { 2446186.5, 54.5456 }, - { 2446217.5, 54.5977 }, - { 2446247.5, 54.6355 }, - { 2446278.5, 54.6532 }, - { 2446309.5, 54.6776 }, - { 2446339.5, 54.7174 }, - { 2446370.5, 54.7741 }, - { 2446400.5, 54.8253 }, - { 2446431.5, 54.8713 }, - { 2446462.5, 54.9161 }, - { 2446490.5, 54.9581 }, - { 2446521.5, 54.9997 }, - { 2446551.5, 55.0476 }, - { 2446582.5, 55.0912 }, - { 2446612.5, 55.1132 }, - { 2446643.5, 55.1328 }, - { 2446674.5, 55.1532 }, - { 2446704.5, 55.1898 }, - { 2446735.5, 55.2416 }, - { 2446765.5, 55.2838 }, - { 2446796.5, 55.3222 }, - { 2446827.5, 55.3613 }, - { 2446855.5, 55.4063 }, - { 2446886.5, 55.4629 }, - { 2446916.5, 55.5111 }, - { 2446947.5, 55.5524 }, - { 2446977.5, 55.5812 }, - { 2447008.5, 55.6004 }, - { 2447039.5, 55.6262 }, - { 2447069.5, 55.6656 }, - { 2447100.5, 55.7168 }, - { 2447130.5, 55.7698 }, - { 2447161.5, 55.8197 }, - { 2447192.5, 55.8615 }, - { 2447221.5, 55.9130 }, - { 2447252.5, 55.9663 }, - { 2447282.5, 56.0220 }, - { 2447313.5, 56.0700 }, - { 2447343.5, 56.0939 }, - { 2447374.5, 56.1105 }, - { 2447405.5, 56.1314 }, - { 2447435.5, 56.1611 }, - { 2447466.5, 56.2068 }, - { 2447496.5, 56.2583 }, - { 2447527.5, 56.3000 }, - { 2447558.5, 56.3399 }, - { 2447586.5, 56.3790 }, - { 2447617.5, 56.4283 }, - { 2447647.5, 56.4804 }, - { 2447678.5, 56.5352 }, - { 2447708.5, 56.5697 }, - { 2447739.5, 56.5983 }, - { 2447770.5, 56.6328 }, - { 2447800.5, 56.6739 }, - { 2447831.5, 56.7332 }, - { 2447861.5, 56.7972 }, - { 2447892.5, 56.8553 }, - { 2447923.5, 56.9111 }, - { 2447951.5, 56.9755 }, - { 2447982.5, 57.0471 }, - { 2448012.5, 57.1136 }, - { 2448043.5, 57.1738 }, - { 2448073.5, 57.2226 }, - { 2448104.5, 57.2597 }, - { 2448135.5, 57.3073 }, - { 2448165.5, 57.3643 }, - { 2448196.5, 57.4334 }, - { 2448226.5, 57.5016 }, - { 2448257.5, 57.5653 }, - { 2448288.5, 57.6333 }, - { 2448316.5, 57.6973 }, - { 2448347.5, 57.7711 }, - { 2448377.5, 57.8407 }, - { 2448408.5, 57.9058 }, - { 2448438.5, 57.9576 }, - { 2448469.5, 57.9975 }, - { 2448500.5, 58.0426 }, - { 2448530.5, 58.1043 }, - { 2448561.5, 58.1679 }, - { 2448591.5, 58.2389 }, - { 2448622.5, 58.3092 }, - { 2448653.5, 58.3833 }, - { 2448682.5, 58.4537 }, - { 2448713.5, 58.5401 }, - { 2448743.5, 58.6228 }, - { 2448774.5, 58.6917 }, - { 2448804.5, 58.7410 }, - { 2448835.5, 58.7836 }, - { 2448866.5, 58.8406 }, - { 2448896.5, 58.8986 }, - { 2448927.5, 58.9714 }, - { 2448957.5, 59.0438 }, - { 2448988.5, 59.1218 }, - { 2449019.5, 59.2003 }, - { 2449047.5, 59.2747 }, - { 2449078.5, 59.3574 }, - { 2449108.5, 59.4434 }, - { 2449139.5, 59.5242 }, - { 2449169.5, 59.5850 }, - { 2449200.5, 59.6344 }, - { 2449231.5, 59.6928 }, - { 2449261.5, 59.7588 }, - { 2449292.5, 59.8386 }, - { 2449322.5, 59.9111 }, - { 2449353.5, 59.9845 }, - { 2449384.5, 60.0564 }, - { 2449412.5, 60.1231 }, - { 2449443.5, 60.2042 }, - { 2449473.5, 60.2804 }, - { 2449504.5, 60.3530 }, - { 2449534.5, 60.4012 }, - { 2449565.5, 60.4440 }, - { 2449596.5, 60.4900 }, - { 2449626.5, 60.5578 }, - { 2449657.5, 60.6324 }, - { 2449687.5, 60.7059 }, - { 2449718.5, 60.7853 }, - { 2449749.5, 60.8664 }, - { 2449777.5, 60.9387 }, - { 2449808.5, 61.0277 }, - { 2449838.5, 61.1103 }, - { 2449869.5, 61.1870 }, - { 2449899.5, 61.2454 }, - { 2449930.5, 61.2881 }, - { 2449961.5, 61.3378 }, - { 2449991.5, 61.4036 }, - { 2450022.5, 61.4760 }, - { 2450052.5, 61.5525 }, - { 2450083.5, 61.6287 }, - { 2450114.5, 61.6846 }, - { 2450143.5, 61.7433 }, - { 2450174.5, 61.8132 }, - { 2450204.5, 61.8823 }, - { 2450235.5, 61.9497 }, - { 2450265.5, 61.9969 }, - { 2450296.5, 62.0343 }, - { 2450327.5, 62.0714 }, - { 2450357.5, 62.1202 }, - { 2450388.5, 62.1810 }, - { 2450418.5, 62.2382 }, - { 2450449.5, 62.2950 }, - { 2450480.5, 62.3506 }, - { 2450508.5, 62.3995 }, - { 2450539.5, 62.4754 }, - { 2450569.5, 62.5463 }, - { 2450600.5, 62.6136 }, - { 2450630.5, 62.6571 }, - { 2450661.5, 62.6942 }, - { 2450692.5, 62.7383 }, - { 2450722.5, 62.7926 }, - { 2450753.5, 62.8567 }, - { 2450783.5, 62.9146 }, - { 2450814.5, 62.9659 }, - { 2450845.5, 63.0217 }, - { 2450873.5, 63.0807 }, - { 2450904.5, 63.1462 }, - { 2450934.5, 63.2053 }, - { 2450965.5, 63.2599 }, - { 2450995.5, 63.2844 }, - { 2451026.5, 63.2961 }, - { 2451057.5, 63.3126 }, - { 2451087.5, 63.3422 }, - { 2451118.5, 63.3871 }, - { 2451148.5, 63.4339 }, - { 2451179.5, 63.4673 }, - { 2451210.5, 63.4979 }, - { 2451238.5, 63.5319 }, - { 2451269.5, 63.5679 }, - { 2451299.5, 63.6104 }, - { 2451330.5, 63.6444 }, - { 2451360.5, 63.6642 }, - { 2451391.5, 63.6739 }, - { 2451422.5, 63.6926 }, - { 2451452.5, 63.7147 }, - { 2451483.5, 63.7518 }, - { 2451513.5, 63.7927 }, - { 2451544.5, 63.8285 }, - { 2451575.5, 63.8557 }, - { 2451604.5, 63.8804 }, - { 2451635.5, 63.9075 }, - { 2451665.5, 63.9393 }, - { 2451696.5, 63.9691 }, - { 2451726.5, 63.9799 }, - { 2451757.5, 63.9833 }, - { 2451788.5, 63.9938 }, - { 2451818.5, 64.0093 }, - { 2451849.5, 64.0400 }, - { 2451879.5, 64.0670 }, - { 2451910.5, 64.0908 }, - { 2451941.5, 64.1068 }, - { 2451969.5, 64.1282 }, - { 2452000.5, 64.1584 }, - { 2452030.5, 64.1833 }, - { 2452061.5, 64.2094 }, - { 2452091.5, 64.2117 }, - { 2452122.5, 64.2073 }, - { 2452153.5, 64.2116 }, - { 2452183.5, 64.2223 }, - { 2452214.5, 64.2500 }, - { 2452244.5, 64.2761 }, - { 2452275.5, 64.2998 }, - { 2452306.5, 64.3192 }, - { 2452334.5, 64.3450 }, - { 2452365.5, 64.3735 }, - { 2452395.5, 64.3943 }, - { 2452426.5, 64.4151 }, - { 2452456.5, 64.4132 }, - { 2452487.5, 64.4118 }, - { 2452518.5, 64.4097 }, - { 2452548.5, 64.4168 }, - { 2452579.5, 64.4329 }, - { 2452609.5, 64.4511 }, - { 2452640.5, 64.4734 }, - { 2452671.5, 64.4893 }, - { 2452699.5, 64.5053 }, - { 2452730.5, 64.5269 }, - { 2452760.5, 64.5471 }, - { 2452791.5, 64.5597 }, - { 2452821.5, 64.5512 }, - { 2452852.5, 64.5371 }, - { 2452883.5, 64.5359 }, - { 2452913.5, 64.5415 }, - { 2452944.5, 64.5544 }, - { 2452974.5, 64.5654 }, - { 2453005.5, 64.5736 }, - { 2453036.5, 64.5891 }, - { 2453065.5, 64.6015 }, - { 2453096.5, 64.6176 }, - { 2453126.5, 64.6374 }, - { 2453157.5, 64.6549 }, - { 2453187.5, 64.6530 }, - { 2453218.5, 64.6379 }, - { 2453249.5, 64.6372 }, - { 2453279.5, 64.6400 }, - { 2453310.5, 64.6543 }, - { 2453340.5, 64.6723 }, - { 2453371.5, 64.6876 }, - { 2453402.5, 64.7052 }, - { 2453430.5, 64.7313 }, - { 2453461.5, 64.7575 }, - { 2453491.5, 64.7811 }, - { 2453522.5, 64.8001 }, - { 2453552.5, 64.7995 }, - { 2453583.5, 64.7876 }, - { 2453614.5, 64.7831 }, - { 2453644.5, 64.7921 }, - { 2453675.5, 64.8096 }, - { 2453705.5, 64.8311 }, - { 2453736.5, 64.8452 }, - { 2453767.5, 64.8597 }, - { 2453795.5, 64.8850 }, - { 2453826.5, 64.9175 }, - { 2453856.5, 64.9480 }, - { 2453887.5, 64.9794 }, - { 2453917.5, 64.9895 }, - { 2453948.5, 65.0028 }, - { 2453979.5, 65.0138 }, - { 2454009.5, 65.0371 }, - { 2454040.5, 65.0773 }, - { 2454070.5, 65.1122 }, - { 2454101.5, 65.1464 }, - { 2454132.5, 65.1833 }, - { 2454160.5, 65.2145 }, - { 2454191.5, 65.2494 }, - { 2454221.5, 65.2921 }, - { 2454252.5, 65.3279 }, - { 2454282.5, 65.3413 }, - { 2454313.5, 65.3452 }, - { 2454344.5, 65.3496 }, - { 2454374.5, 65.3711 }, - { 2454405.5, 65.3972 }, - { 2454435.5, 65.4296 }, - { 2454466.5, 65.4573 }, - { 2454497.5, 65.4868 }, - { 2454526.5, 65.5152 }, - { 2454557.5, 65.5450 }, - { 2454587.5, 65.5781 }, - { 2454618.5, 65.6127 }, - { 2454648.5, 65.6288 }, - { 2454679.5, 65.6370 }, - { 2454710.5, 65.6493 }, - { 2454740.5, 65.6760 }, - { 2454771.5, 65.7097 }, - { 2454801.5, 65.7461 }, - { 2454832.5, 65.7768 }, - { 2454863.5, 65.8025 }, - { 2454891.5, 65.8237 }, - { 2454922.5, 65.8595 }, - { 2454952.5, 65.8973 }, - { 2454983.5, 65.9323 }, - { 2455013.5, 65.9509 }, - { 2455044.5, 65.9534 }, - { 2455075.5, 65.9628 }, - { 2455105.5, 65.9839 }, - { 2455136.5, 66.0147 }, - { 2455166.5, 66.0420 }, - { 2455197.5, 66.0699 }, - { 2455228.5, 66.0961 }, - { 2455256.5, 66.1310 }, - { 2455287.5, 66.1683 }, - { 2455317.5, 66.2072 }, - { 2455348.5, 66.2356 }, - { 2455378.5, 66.2409 }, - { 2455409.5, 66.2335 }, - { 2455440.5, 66.2349 }, - { 2455470.5, 66.2441 }, - { 2455501.5, 66.2751 }, - { 2455531.5, 66.3054 }, - { 2455562.5, 66.3246 }, - { 2455593.5, 66.3406 }, - { 2455621.5, 66.3624 }, - { 2455652.5, 66.3957 }, - { 2455682.5, 66.4289 }, - { 2455713.5, 66.4619 }, - { 2455743.5, 66.4749 }, - { 2455774.5, 66.4751 }, - { 2455805.5, 66.4829 }, - { 2455835.5, 66.5056 }, - { 2455866.5, 66.5383 }, - { 2455896.5, 66.5706 }, - { 2455927.5, 66.6030 }, - { 2455958.5, 66.6340 }, - { 2455987.5, 66.6569 }, - { 2456018.5, 66.6925 }, //1 April 2012 - { 2456048.5, 66.7289 }, - { 2456079.5, 66.7579 }, - { 2456109.5, 66.7708 }, - { 2456140.5, 66.7740 }, - { 2456171.5, 66.7846 }, - { 2456201.5, 66.8103 }, - { 2456232.5, 66.8400 }, - { 2456262.5, 66.8779 }, - { 2456293.5, 66.9069 }, //1 January 2013 - { 2456324.5, 66.9443 }, //1 Februrary 2013 - { 2456352.5, 66.9763 }, //1 March 2013 - { 2456383.5, 67.0258 }, //1 April 2013 - { 2456413.5, 67.0716 }, //1 May 2013 - { 2456444.5, 67.1100 }, //1 June 2013 - { 2456474.5, 67.1266 }, //1 July 2013 - { 2456505.5, 67.1331 }, //1 August 2013 - { 2456536.5, 67.1458 }, //1 September 2013 - { 2456566.5, 67.1717 }, //1 October 2013 - { 2456597.5, 67.2091 }, //1 November 2013 - { 2456627.5, 67.2460 }, //1 December 2013 - { 2456658.5, 67.2810 }, //1 January 2014 - { 2456689.5, 67.3136 }, //1 February 2014 - { 2456717.5, 67.3457 }, //1 March 2014 - { 2456748.5, 67.3890 }, //1 April 2014 - { 2456778.5, 67.4318 }, //1 May 2014 - { 2456809.5, 67.4666 }, //1 June 2014 - { 2456839.5, 67.4858 }, //1 July 2014 - { 2456870.5, 67.4989 }, //1 August 2014 - { 2456901.5, 67.5111 }, //1 September 2014 - { 2456931.5, 67.5353 }, //1 October 2014 - { 2456962.5, 67.5711 }, //1 November 2014 - { 2456992.5, 67.6070 }, //1 December 2014 - { 2457023.5, 67.6439 }, //1 January 2015 - { 2457054.5, 67.6765 }, //1 February 2015 - { 2457082.5, 67.7117 }, //1 March 2015 - { 2457113.5, 67.7591 }, //1 April 2015 - { 2457143.5, 67.8011 }, //1 May 2015 - { 2457174.5, 67.8402 }, //1 June 2015 - { 2457204.5, 67.8606 }, //1 July 2015 - -//All these final values are predicted values from Year 2015.75 to Year 2024.0 are taken from http://maia.usno.navy.mil/ser7/deltat.preds - { 2457297.25, 67.97 }, //2015.75 - { 2457388.50, 68.11 }, //2016.0 - { 2457480.00, 68.2 }, //2016.25 - { 2457571.50, 68.4 }, //2016.5 - { 2457663.00, 68.5 }, //2016.75 - { 2457754.50, 68.6 }, //2017.0 - { 2457845.75, 68.8 }, //2017.25 - { 2457937.00, 68.9 }, //2017.5 - { 2458028.25, 69.0 }, //2017.75 - { 2458119.50, 69.1 }, //2018.0 - { 2458210.75, 69.2 }, //2018.25 - { 2458302.00, 69.3 }, //2018.5 - { 2458393.25, 69.0 }, //2018.75 - { 2458484.50, 70 }, //2019.0 - { 2459124.00, 70 }, //2020.75 - { 2459215.50, 71 }, //2021.0 - { 2459854.25, 71 }, //2022.75 - { 2459945.50, 72 }, //2023.00 - { 2460584.25, 72 }, //2024.75 - { 2460676.50, 73 }, //2025.0 - -//Note as currently coded there is a single discontinuity of c. 1.87 seconds on 1 January 2024. At this point http://maia.usno.navy.mil/ser7/deltat.preds indicates an error value for DeltaT of about 5 seconds anyway. -}; - -struct LeapSecondCoefficient -{ - double JD; - double LeapSeconds; - double BaseMJD; - double Coefficient; -}; - -const LeapSecondCoefficient g_LeapSecondCoefficients[] = //Cumulative leap second values from 1 Jan 1961 to 1 July 2015 as taken from http://maia.usno.navy.mil/ser7/tai-utc.dat -{ - { 2437300.5, 1.4228180, 37300, 0.001296 }, - { 2437512.5, 1.3728180, 37300, 0.001296 }, - { 2437665.5, 1.8458580, 37665, 0.0011232 }, - { 2438334.5, 1.9458580, 37665, 0.0011232 }, - { 2438395.5, 3.2401300, 38761, 0.001296 }, - { 2438486.5, 3.3401300, 38761, 0.001296 }, - { 2438639.5, 3.4401300, 38761, 0.001296 }, - { 2438761.5, 3.5401300, 38761, 0.001296 }, - { 2438820.5, 3.6401300, 38761, 0.001296 }, - { 2438942.5, 3.7401300, 38761, 0.001296 }, - { 2439004.5, 3.8401300, 38761, 0.001296 }, - { 2439126.5, 4.3131700, 39126, 0.002592 }, - { 2439887.5, 4.2131700, 39126, 0.002592 }, - { 2441317.5, 10.0, 41317, 0.0 }, - { 2441499.5, 11.0, 41317, 0.0 }, - { 2441683.5, 12.0, 41317, 0.0 }, - { 2442048.5, 13.0, 41317, 0.0 }, - { 2442413.5, 14.0, 41317, 0.0 }, - { 2442778.5, 15.0, 41317, 0.0 }, - { 2443144.5, 16.0, 41317, 0.0 }, - { 2443509.5, 17.0, 41317, 0.0 }, - { 2443874.5, 18.0, 41317, 0.0 }, - { 2444239.5, 19.0, 41317, 0.0 }, - { 2444786.5, 20.0, 41317, 0.0 }, - { 2445151.5, 21.0, 41317, 0.0 }, - { 2445516.5, 22.0, 41317, 0.0 }, - { 2446247.5, 23.0, 41317, 0.0 }, - { 2447161.5, 24.0, 41317, 0.0 }, - { 2447892.5, 25.0, 41317, 0.0 }, - { 2448257.5, 26.0, 41317, 0.0 }, - { 2448804.5, 27.0, 41317, 0.0 }, - { 2449169.5, 28.0, 41317, 0.0 }, - { 2449534.5, 29.0, 41317, 0.0 }, - { 2450083.5, 30.0, 41317, 0.0 }, - { 2450630.5, 31.0, 41317, 0.0 }, - { 2451179.5, 32.0, 41317, 0.0 }, - { 2453736.5, 33.0, 41317, 0.0 }, - { 2454832.5, 34.0, 41317, 0.0 }, - { 2456109.5, 35.0, 41317, 0.0 }, - { 2457204.5, 36.0, 41317, 0.0 } -}; - - -////////////////////////////////// Implementation ///////////////////////////// - -double CAADynamicalTime::DeltaT(double JD) -{ - //What will be the return value from the method - double Delta = 0; - - //Determine if we can use the lookup table - size_t nLookupElements = sizeof(g_DeltaTValues) / sizeof(DeltaTValue); - if ((JD >= g_DeltaTValues[0].JD) && (JD < g_DeltaTValues[nLookupElements - 1].JD)) - { - //Find the index in the lookup table which contains the JD value closest to the JD input parameter - bool bFound = false; - size_t nFoundIndex = 0; - while (!bFound) - { - assert(nFoundIndex < nLookupElements); - bFound = (g_DeltaTValues[nFoundIndex].JD > JD); - - //Prepare for the next loop - if (!bFound) - ++nFoundIndex; - else - { - //Now do a simple linear interpolation of the DeltaT values from the lookup table - Delta = (JD - g_DeltaTValues[nFoundIndex - 1].JD) / (g_DeltaTValues[nFoundIndex].JD - g_DeltaTValues[nFoundIndex - 1].JD) * (g_DeltaTValues[nFoundIndex].DeltaT - g_DeltaTValues[nFoundIndex - 1].DeltaT) + g_DeltaTValues[nFoundIndex - 1].DeltaT; - } - } - } - else - { - CAADate date(JD, CAADate::AfterPapalReform(JD)); - double y = date.FractionalYear(); - - //Use the polynomial expressions from Espenak & Meeus 2006. References: http://eclipse.gsfc.nasa.gov/SEcat5/deltatpoly.html and - //http://www.staff.science.uu.nl/~gent0113/deltat/deltat_old.htm (Espenak & Meeus 2006 section) - if (y < -500) - { - double u = (y - 1820)/100.0; - double u2 = u*u; - Delta = -20 + (32*u2); - } - else if (y < 500) - { - double u = y/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - double u5 = u4*u; - double u6 = u5*u; - Delta = 10583.6 + (-1014.41*u) + (33.78311*u2) + (-5.952053*u3) + (-0.1798452*u4) + (0.022174192*u5) + (0.0090316521*u6); - } - else if (y < 1600) - { - double u = (y - 1000)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - double u5 = u4*u; - double u6 = u5*u; - Delta = 1574.2 + (-556.01*u) + (71.23472*u2) + (0.319781*u3) + (-0.8503463*u4) + (-0.005050998*u5) + (0.0083572073*u6); - } - else if (y < 1700) - { - double u = (y - 1600)/100.0; - double u2 = u*u; - double u3 = u2*u; - Delta = 120 + (-98.08*u) + (-153.2*u2) + (u3/0.007129); - } - else if (y < 1800) - { - double u = (y - 1700)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - Delta = 8.83 + (16.03*u) + (-59.285*u2) + (133.36*u3) + (-u4/0.01174); - } - else if (y < 1860) - { - double u = (y - 1800)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - double u5 = u4*u; - double u6 = u5*u; - double u7 = u6*u; - Delta = 13.72 + (-33.2447*u) + (68.612*u2) + (4111.6*u3) + (-37436*u4) + (121272*u5) + (-169900*u6) + (87500*u7); - } - else if (y < 1900) - { - double u = (y - 1860)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - double u5 = u4*u; - Delta = 7.62 + (57.37*u) + (-2517.54*u2) + (16806.68*u3) + (-44736.24*u4) + (u5/0.0000233174); - } - else if (y < 1920) - { - double u = (y - 1900)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - Delta = -2.79 + (149.4119*u) + (-598.939*u2) + (6196.6*u3) + (-19700*u4); - } - else if (y < 1941) - { - double u = (y - 1920)/100.0; - double u2 = u*u; - double u3 = u2*u; - Delta = 21.20 + (84.493*u) + (-761.00*u2) + (2093.6*u3); - } - else if (y < 1961) - { - double u = (y - 1950)/100.0; - double u2 = u*u; - double u3 = u2*u; - Delta = 29.07 + (40.7*u) + (-u2/0.0233) + (u3/0.002547); - } - else if (y < 1986) - { - double u = (y - 1975)/100.0; - double u2 = u*u; - double u3 = u2*u; - Delta = 45.45 + 106.7*u - u2/0.026 - u3/0.000718; - } - else if (y < 2005) - { - double u = (y - 2000)/100.0; - double u2 = u*u; - double u3 = u2*u; - double u4 = u3*u; - double u5 = u4*u; - Delta = 63.86 + (33.45*u) + (-603.74*u2) + (1727.5*u3) + (65181.4*u4) + (237359.9*u5); - } - else if (y < 2050) - { - double u = (y - 2000)/100.0; - double u2 = u*u; - Delta = 62.92 + (32.217*u) + (55.89*u2); - } - else if (y < 2150) - { - double u = (y - 1820)/100.0; - double u2 = u*u; - Delta = -205.72 + (56.28*u) + (32*u2); - } - else - { - double u = (y - 1820)/100.0; - double u2 = u*u; - Delta = -20 + (32*u2); - } - } - - return Delta; -} - -double CAADynamicalTime::CumulativeLeapSeconds(double JD) -{ - //What will be the return value from the method - double LeapSeconds = 0; - - size_t nLookupElements = sizeof(g_LeapSecondCoefficients) / sizeof(LeapSecondCoefficient); - if (JD >= g_LeapSecondCoefficients[0].JD) - { - //Find the index in the lookup table which contains the JD value closest to the JD input parameter - bool bContinue = true; - size_t nIndex = 1; - while (bContinue) - { - if (nIndex >= nLookupElements) - { - LeapSeconds = g_LeapSecondCoefficients[nLookupElements - 1].LeapSeconds + (JD - 2400000.5 - g_LeapSecondCoefficients[nLookupElements - 1].BaseMJD) * g_LeapSecondCoefficients[nLookupElements - 1].Coefficient; - bContinue = false; - } - else if (JD < g_LeapSecondCoefficients[nIndex].JD) - { - LeapSeconds = g_LeapSecondCoefficients[nIndex - 1].LeapSeconds + (JD - 2400000.5 - g_LeapSecondCoefficients[nIndex - 1].BaseMJD) * g_LeapSecondCoefficients[nIndex - 1].Coefficient; - bContinue = false; - } - - //Prepare for the next loop - if (bContinue) - ++nIndex; - } - } - - return LeapSeconds; -} - -double CAADynamicalTime::TT2UTC(double JD) -{ - double DT = DeltaT(JD); - double UT1 = JD - (DT / 86400.0); - double LeapSeconds = CumulativeLeapSeconds(JD); - return ((DT - LeapSeconds - 32.184) / 86400.0) + UT1; -} - -double CAADynamicalTime::UTC2TT(double JD) -{ - double DT = DeltaT(JD); - double LeapSeconds = CumulativeLeapSeconds(JD); - double UT1 = JD - ((DT - LeapSeconds - 32.184) / 86400.0); - return UT1 + (DT / 86400.0); -} - -double CAADynamicalTime::TT2TAI(double JD) -{ - return JD - (32.184 / 86400.0); -} - -double CAADynamicalTime::TAI2TT(double JD) -{ - return JD + (32.184 / 86400.0); -} - -double CAADynamicalTime::TT2UT1(double JD) -{ - return JD - (DeltaT(JD) / 86400.0); -} - -double CAADynamicalTime::UT12TT(double JD) -{ - return JD + (DeltaT(JD) / 86400.0); -} - -double CAADynamicalTime::UT1MinusUTC(double JD) -{ - double JDUTC = JD + ((CAADynamicalTime::DeltaT(JD) - CumulativeLeapSeconds(JD) - 32.184) / 86400); - return (JD - JDUTC) * 86400; -} diff --git a/Vendor/AA+/1.6.3/AAEarth.cpp b/Vendor/AA+/1.6.3/AAEarth.cpp deleted file mode 100755 index 2376d79..0000000 --- a/Vendor/AA+/1.6.3/AAEarth.cpp +++ /dev/null @@ -1,684 +0,0 @@ -/* -Module : AAEARTH.CPP -Purpose: Implementation for the algorithms which calculate the position of Earth -Created: PJN / 29-12-2003 -History: PJN / 03-10-2009 1. Fixed a copy and paste gremlin in the CAAEarth::EclipticLatitude method where it incorrectly - used B2, B3 & B4 coefficient terms for Venus. Due to how this bug occurred, the magnitude of the - error from it would increase as the date deviated from the year 2000. Thanks to Isaac Salzman - for reporting this bug. - PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 04-08-2013 1. Fixed a transcription error in the twenty first coefficient used to calculate - the L0 term for the ecliptic longitude of Earth. Thanks to Isaac Clark for - reporting this issue. - 2. Fixed a transcription error in the sixteenth coefficient used to calculate the L1 term for - the ecliptic longitude of Earth. Thanks to Isaac Clark for reporting this issue. - 3. Spot tests indicate that these two changes only affected the the ecliptic longitude in the - eight decimal place. - 4. Updated copyright details - PJN / 16-09-2015 1. CAAEarth::EclipticLongitude, EclipticLatitude, RadiusVector, EclipticLongitudeJ2000 & - EclipticLatitudeJ2000 now include a "bool bHighPrecision" parameter which if set to true means - the code uses the full VSOP87 theory rather than the truncated theory as presented in Meeus's - book. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -///////////////////////////// Includes //////////////////////////////////////// - -#include "stdafx.h" -#include "AAEarth.h" -#include "AACoordinateTransformation.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87D_EAR.h" -#include "AAVSOP87B_EAR.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -//////////////////////////// Macros / Defines ///////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0EarthCoefficients[] = -{ - { 175347046, 0, 0 }, - { 3341656, 4.6692568, 6283.0758500 }, - { 34894, 4.62610, 12566.15170 }, - { 3497, 2.7441, 5753.3849 }, - { 3418, 2.8289, 3.5231 }, - { 3136, 3.6277, 77713.7715 }, - { 2676, 4.4181, 7860.4194 }, - { 2343, 6.1352, 3930.2097 }, - { 1324, 0.7425, 11506.7698 }, - { 1273, 2.0371, 529.6910 }, - { 1199, 1.1096, 1577.3435 }, - { 990, 5.233, 5884.927 }, - { 902, 2.045, 26.298 }, - { 857, 3.508, 398.149 }, - { 780, 1.179, 5223.694 }, - { 753, 2.533, 5507.553 }, - { 505, 4.583, 18849.228 }, - { 492, 4.205, 775.523 }, - { 357, 2.920, 0.067 }, - { 317, 5.849, 11790.629 }, - { 284, 1.899, 796.298 }, - { 271, 0.315, 10977.079 }, - { 243, 0.345, 5486.778 }, - { 206, 4.806, 2544.314 }, - { 205, 1.869, 5573.143 }, - { 202, 2.458, 6069.777 }, - { 156, 0.833, 213.299 }, - { 132, 3.411, 2942.463 }, - { 126, 1.083, 20.775 }, - { 115, 0.645, 0.980 }, - { 103, 0.636, 4694.003 }, - { 102, 0.976, 15720.839 }, - { 102, 4.267, 7.114 }, - { 99, 6.21, 2146.17 }, - { 98, 0.68, 155.42 }, - { 86, 5.98, 161000.69 }, - { 85, 1.30, 6275.96 }, - { 85, 3.67, 71430.70 }, - { 80, 1.81, 17260.15 }, - { 79, 3.04, 12036.46 }, - { 75, 1.76, 5088.63 }, - { 74, 3.50, 3154.69 }, - { 74, 4.68, 801.82 }, - { 70, 0.83, 9437.76 }, - { 62, 3.98, 8827.39 }, - { 61, 1.82, 7084.90 }, - { 57, 2.78, 6286.60 }, - { 56, 4.39, 14143.50 }, - { 56, 3.47, 6279.55 }, - { 52, 0.19, 12139.55 }, - { 52, 1.33, 1748.02 }, - { 51, 0.28, 5856.48 }, - { 49, 0.49, 1194.45 }, - { 41, 5.37, 8429.24 }, - { 41, 2.40, 19651.05 }, - { 39, 6.17, 10447.39 }, - { 37, 6.04, 10213.29 }, - { 37, 2.57, 1059.38 }, - { 36, 1.71, 2352.87 }, - { 36, 1.78, 6812.77 }, - { 33, 0.59, 17789.85 }, - { 30, 0.44, 83996.85 }, - { 30, 2.74, 1349.87 }, - { 25, 3.16, 4690.48 } -}; - -const VSOP87Coefficient g_L1EarthCoefficients[] = -{ - { 628331966747.0, 0, 0 }, - { 206059, 2.678235, 6283.075850 }, - { 4303, 2.6351, 12566.1517 }, - { 425, 1.590, 3.523 }, - { 119, 5.796, 26.298 }, - { 109, 2.966, 1577.344 }, - { 93, 2.59, 18849.23 }, - { 72, 1.14, 529.69 }, - { 68, 1.87, 398.15 }, - { 67, 4.41, 5507.55 }, - { 59, 2.89, 5223.69 }, - { 56, 2.17, 155.42 }, - { 45, 0.40, 796.30 }, - { 36, 0.47, 775.52 }, - { 29, 2.65, 7.11 }, - { 21, 5.34, 0.98 }, - { 19, 1.85, 5486.78 }, - { 19, 4.97, 213.30 }, - { 17, 2.99, 6275.96 }, - { 16, 0.03, 2544.31 }, - { 16, 1.43, 2146.17 }, - { 15, 1.21, 10977.08 }, - { 12, 2.83, 1748.02 }, - { 12, 3.26, 5088.63 }, - { 12, 5.27, 1194.45 }, - { 12, 2.08, 4694.00 }, - { 11, 0.77, 553.57 }, - { 10, 1.30, 6286.60 }, - { 10, 4.24, 1349.87 }, - { 9, 2.70, 242.73 }, - { 9, 5.64, 951.72 }, - { 8, 5.30, 2352.87 }, - { 6, 2.65, 9437.76 }, - { 6, 4.67, 4690.48 } -}; - -const VSOP87Coefficient g_L2EarthCoefficients[] = -{ - { 52919, 0, 0 }, - { 8720, 1.0721, 6283.0758 }, - { 309, 0.867, 12566.152 }, - { 27, 0.05, 3.52 }, - { 16, 5.19, 26.30 }, - { 16, 3.68, 155.42 }, - { 10, 0.76, 18849.23 }, - { 9, 2.06, 77713.77 }, - { 7, 0.83, 775.52 }, - { 5, 4.66, 1577.34 }, - { 4, 1.03, 7.11 }, - { 4, 3.44, 5573.14 }, - { 3, 5.14, 796.30 }, - { 3, 6.05, 5507.55 }, - { 3, 1.19, 242.73 }, - { 3, 6.12, 529.69 }, - { 3, 0.31, 398.15 }, - { 3, 2.28, 553.57 }, - { 2, 4.38, 5223.69 }, - { 2, 3.75, 0.98 } -}; - -const VSOP87Coefficient g_L3EarthCoefficients[] = -{ - { 289, 5.844, 6283.076 }, - { 35, 0, 0 }, - { 17, 5.49, 12566.15 }, - { 3, 5.20, 155.42 }, - { 1, 4.72, 3.52 }, - { 1, 5.30, 18849.23 }, - { 1, 5.97, 242.73 } -}; - -const VSOP87Coefficient g_L4EarthCoefficients[] = -{ - { 114, 3.142, 0 }, - { 8, 4.13, 6283.08 }, - { 1, 3.84, 12566.15 } -}; - -const VSOP87Coefficient g_L5EarthCoefficients[] = -{ - { 1, 3.14, 0 }, -}; - -const VSOP87Coefficient g_B0EarthCoefficients[] = -{ - { 280, 3.199, 84334.662 }, - { 102, 5.422, 5507.553 }, - { 80, 3.88, 5223.69}, - { 44, 3.70, 2352.87 }, - { 32, 4.00, 1577.34 } -}; - -const VSOP87Coefficient g_B1EarthCoefficients[] = -{ - { 9, 3.90, 5507.55 }, - { 6, 1.73, 5223.69} -}; - -const VSOP87Coefficient g_R0EarthCoefficients[] = -{ - { 100013989, 0, 0 }, - { 1670700, 3.0984635, 6283.0758500 }, - { 13956, 3.05525, 12566.15170 }, - { 3084, 5.1985, 77713.7715 }, - { 1628, 1.1739, 5753.3849 }, - { 1576, 2.8469, 7860.4194 }, - { 925, 5.453, 11506.770 }, - { 542, 4.564, 3930.210 }, - { 472, 3.661, 5884.927 }, - { 346, 0.964, 5507.553 }, - { 329, 5.900, 5223.694 }, - { 307, 0.299, 5573.143 }, - { 243, 4.273, 11790.629 }, - { 212, 5.847, 1577.344 }, - { 186, 5.022, 10977.079 }, - { 175, 3.012, 18849.228 }, - { 110, 5.055, 5486.778 }, - { 98, 0.89, 6069.78 }, - { 86, 5.69, 15720.84 }, - { 86, 1.27, 161000.69}, - { 65, 0.27, 17260.15 }, - { 63, 0.92, 529.69 }, - { 57, 2.01, 83996.85 }, - { 56, 5.24, 71430.70 }, - { 49, 3.25, 2544.31 }, - { 47, 2.58, 775.52 }, - { 45, 5.54, 9437.76 }, - { 43, 6.01, 6275.96 }, - { 39, 5.36, 4694.00 }, - { 38, 2.39, 8827.39 }, - { 37, 0.83, 19651.05 }, - { 37, 4.90, 12139.55 }, - { 36, 1.67, 12036.46 }, - { 35, 1.84, 2942.46 }, - { 33, 0.24, 7084.90 }, - { 32, 0.18, 5088.63 }, - { 32, 1.78, 398.15 }, - { 28, 1.21, 6286.60 }, - { 28, 1.90, 6279.55 }, - { 26, 4.59, 10447.39 } -}; - -const VSOP87Coefficient g_R1EarthCoefficients[] = -{ - { 103019, 1.107490, 6283.075850 }, - { 1721, 1.0644, 12566.1517 }, - { 702, 3.142, 0 }, - { 32, 1.02, 18849.23 }, - { 31, 2.84, 5507.55 }, - { 25, 1.32, 5223.69 }, - { 18, 1.42, 1577.34 }, - { 10, 5.91, 10977.08 }, - { 9, 1.42, 6275.96 }, - { 9, 0.27, 5486.78 } -}; - -const VSOP87Coefficient g_R2EarthCoefficients[] = -{ - { 4359, 5.7846, 6283.0758 }, - { 124, 5.579, 12566.152 }, - { 12, 3.14, 0 }, - { 9, 3.63, 77713.77 }, - { 6, 1.87, 5573.14 }, - { 3, 5.47, 18849.23 } -}; - -const VSOP87Coefficient g_R3EarthCoefficients[] = -{ - { 145, 4.273, 6283.076 }, - { 7, 3.92, 12566.15 } -}; - -const VSOP87Coefficient g_R4EarthCoefficients[] = -{ - { 4, 2.56, 6283.08 } -}; - -const VSOP87Coefficient g_L1EarthCoefficientsJ2000[] = -{ - { 628307584999.0, 0, 0 }, - { 206059, 2.678235, 6283.075850 }, - { 4303, 2.6351, 12566.1517 }, - { 425, 1.590, 3.523 }, - { 119, 5.796, 26.298 }, - { 109, 2.966, 1577.344 }, - { 93, 2.59, 18849.23 }, - { 72, 1.14, 529.69 }, - { 68, 1.87, 398.15 }, - { 67, 4.41, 5507.55 }, - { 59, 2.89, 5223.69 }, - { 56, 2.17, 155.42 }, - { 45, 0.40, 796.30 }, - { 36, 0.47, 775.52 }, - { 29, 2.65, 7.11 }, - { 21, 5.43, 0.98 }, - { 19, 1.85, 5486.78 }, - { 19, 4.97, 213.30 }, - { 17, 2.99, 6275.96 }, - { 16, 0.03, 2544.31 }, - { 16, 1.43, 2146.17 }, - { 15, 1.21, 10977.08 }, - { 12, 2.83, 1748.02 }, - { 12, 3.26, 5088.63 }, - { 12, 5.27, 1194.45 }, - { 12, 2.08, 4694.00 }, - { 11, 0.77, 553.57 }, - { 10, 1.30, 6286.60 }, - { 10, 4.24, 1349.87 }, - { 9, 2.70, 242.73 }, - { 9, 5.64, 951.72 }, - { 8, 5.30, 2352.87 }, - { 6, 2.65, 9437.76 }, - { 6, 4.67, 4690.48 } -}; - -const VSOP87Coefficient g_L2EarthCoefficientsJ2000[] = -{ - { 8722, 1.0725, 6283.0758 }, - { 991, 3.1416, 0 }, - { 295, 0.437, 12566.152 }, - { 27, 0.05, 3.52 }, - { 16, 5.19, 26.30 }, - { 16, 3.69, 155.42 }, - { 9, 0.30, 18849.23 }, - { 9, 2.06, 77713.77 }, - { 7, 0.83, 775.52 }, - { 5, 4.66, 1577.34 }, - { 4, 1.03, 7.11 }, - { 4, 3.44, 5573.14 }, - { 3, 5.14, 796.30 }, - { 3, 6.05, 5507.55 }, - { 3, 1.19, 242.73 }, - { 3, 6.12, 529.69 }, - { 3, 0.30, 398.15 }, - { 3, 2.28, 553.57 }, - { 2, 4.38, 5223.69 }, - { 2, 3.75, 0.98 } -}; - -const VSOP87Coefficient g_L3EarthCoefficientsJ2000[] = -{ - { 289, 5.842, 6283.076 }, - { 21, 6.05, 12566.15 }, - { 3, 5.20, 155.42 }, - { 3, 3.14, 0 }, - { 1, 4.72, 3.52 }, - { 1, 5.97, 242.73 }, - { 1, 5.54, 18849.23 } -}; - -const VSOP87Coefficient g_L4EarthCoefficientsJ2000[] = -{ - { 8, 4.14, 6283.08 }, - { 1, 3.28, 12566.15 } -}; - -const VSOP87Coefficient g_B1EarthCoefficientsJ2000[] = -{ - { 227778, 3.413766, 6283.075850 }, - { 3806, 3.3706, 12566.1517 }, - { 3620, 0, 0 }, - { 72, 3.33, 18849.23 }, - { 8, 3.89, 5507.55 }, - { 8, 1.79, 5223.69 }, - { 6, 5.20, 2352.87 } -}; - -const VSOP87Coefficient g_B2EarthCoefficientsJ2000[] = -{ - { 9721, 5.1519, 6283.07585 }, - { 233, 3.1416, 0 }, - { 134, 0.644, 12566.152 }, - { 7, 1.07, 18849.23 } -}; - -const VSOP87Coefficient g_B3EarthCoefficientsJ2000[] = -{ - { 276, 0.595, 6283.076 }, - { 17, 3.14, 0 }, - { 4, 0.12, 12566.15 } -}; - -const VSOP87Coefficient g_B4EarthCoefficientsJ2000[] = -{ - { 6, 2.27, 6283.08 }, - { 1, 0, 0 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -//////////////////////////////// Implementation /////////////////////////////// - -double CAAEarth::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Earth::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0EarthCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAEASTER_H__ -#define __AAEASTER_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -///////////////////// Classes ///////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAEasterDetails -{ -public: -//Constructors / Destructors - CAAEasterDetails() : Month(0), - Day(0) - { - }; - -//Member variables - long Month; - long Day; -}; - -class AAPLUS_EXT_CLASS CAAEaster -{ -public: -//Static methods - static CAAEasterDetails Calculate(long nYear, bool GregorianCalendar); -}; - - -#endif //#ifndef __AAEASTER_H__ diff --git a/Vendor/AA+/1.6.3/AAEclipses.h b/Vendor/AA+/1.6.3/AAEclipses.h deleted file mode 100755 index 12a0a42..0000000 --- a/Vendor/AA+/1.6.3/AAEclipses.h +++ /dev/null @@ -1,106 +0,0 @@ -/* -Module : AAECLIPSES.H -Purpose: Implementation for the algorithms which obtain the principal characteristics of an eclipse of the Sun or the Moon -Created: PJN / 21-01-2004 - -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAECLIPSES_H__ -#define __AAECLIPSES_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAASolarEclipseDetails -{ -public: -//Constructors / Destructors - CAASolarEclipseDetails() : bEclipse(false), - TimeOfMaximumEclipse(0), - F(0), - u(0), - gamma(0), - GreatestMagnitude(0) - { - }; - -//Member variables - bool bEclipse; - double TimeOfMaximumEclipse; - double F; - double u; - double gamma; - double GreatestMagnitude; -}; - - -class AAPLUS_EXT_CLASS CAALunarEclipseDetails -{ -public: -//Constructors / Destructors - CAALunarEclipseDetails() : bEclipse(false), - TimeOfMaximumEclipse(0), - F(0), - u(0), - gamma(0), - PenumbralRadii(0), - UmbralRadii(0), - PenumbralMagnitude(0), - UmbralMagnitude(0), - PartialPhaseSemiDuration(0), - TotalPhaseSemiDuration(0), - PartialPhasePenumbraSemiDuration(0) - { - }; - -//Member variables - bool bEclipse; - double TimeOfMaximumEclipse; - double F; - double u; - double gamma; - double PenumbralRadii; - double UmbralRadii; - double PenumbralMagnitude; - double UmbralMagnitude; - double PartialPhaseSemiDuration; - double TotalPhaseSemiDuration; - double PartialPhasePenumbraSemiDuration; -}; - -class AAPLUS_EXT_CLASS CAAEclipses -{ -public: -//Static methods - static CAASolarEclipseDetails CalculateSolar(double k); - static CAALunarEclipseDetails CalculateLunar(double k); - -protected: - static CAASolarEclipseDetails Calculate(double k, double& Mdash); -}; - - -#endif //#ifndef __AAECLIPSES_H__ diff --git a/Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.h b/Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.h deleted file mode 100755 index 9d00193..0000000 --- a/Vendor/AA+/1.6.3/AAElementsPlanetaryOrbit.h +++ /dev/null @@ -1,137 +0,0 @@ -/* -Module : AAELEMENTSPLANETARYORBIT.H -Purpose: Implementation for the algorithms to calculate the elements of the planetary orbits -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif - -#ifndef __AAELEMENTSPLANETARYORBIT_H__ -#define __AAELEMENTSPLANETARYORBIT_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAElementsPlanetaryOrbit -{ -public: -//Static methods - static double MercuryMeanLongitude(double JD); - static double MercurySemimajorAxis(double JD); - static double MercuryEccentricity(double JD); - static double MercuryInclination(double JD); - static double MercuryLongitudeAscendingNode(double JD); - static double MercuryLongitudePerihelion(double JD); - - static double VenusMeanLongitude(double JD); - static double VenusSemimajorAxis(double JD); - static double VenusEccentricity(double JD); - static double VenusInclination(double JD); - static double VenusLongitudeAscendingNode(double JD); - static double VenusLongitudePerihelion(double JD); - - static double EarthMeanLongitude(double JD); - static double EarthSemimajorAxis(double JD); - static double EarthEccentricity(double JD); - static double EarthInclination(double JD); - static double EarthLongitudePerihelion(double JD); - - static double MarsMeanLongitude(double JD); - static double MarsSemimajorAxis(double JD); - static double MarsEccentricity(double JD); - static double MarsInclination(double JD); - static double MarsLongitudeAscendingNode(double JD); - static double MarsLongitudePerihelion(double JD); - - static double JupiterMeanLongitude(double JD); - static double JupiterSemimajorAxis(double JD); - static double JupiterEccentricity(double JD); - static double JupiterInclination(double JD); - static double JupiterLongitudeAscendingNode(double JD); - static double JupiterLongitudePerihelion(double JD); - - static double SaturnMeanLongitude(double JD); - static double SaturnSemimajorAxis(double JD); - static double SaturnEccentricity(double JD); - static double SaturnInclination(double JD); - static double SaturnLongitudeAscendingNode(double JD); - static double SaturnLongitudePerihelion(double JD); - - static double UranusMeanLongitude(double JD); - static double UranusSemimajorAxis(double JD); - static double UranusEccentricity(double JD); - static double UranusInclination(double JD); - static double UranusLongitudeAscendingNode(double JD); - static double UranusLongitudePerihelion(double JD); - - static double NeptuneMeanLongitude(double JD); - static double NeptuneSemimajorAxis(double JD); - static double NeptuneEccentricity(double JD); - static double NeptuneInclination(double JD); - static double NeptuneLongitudeAscendingNode(double JD); - static double NeptuneLongitudePerihelion(double JD); - - static double MercuryMeanLongitudeJ2000(double JD); - static double MercuryInclinationJ2000(double JD); - static double MercuryLongitudeAscendingNodeJ2000(double JD); - static double MercuryLongitudePerihelionJ2000(double JD); - - static double VenusMeanLongitudeJ2000(double JD); - static double VenusInclinationJ2000(double JD); - static double VenusLongitudeAscendingNodeJ2000(double JD); - static double VenusLongitudePerihelionJ2000(double JD); - - static double EarthMeanLongitudeJ2000(double JD); - static double EarthInclinationJ2000(double JD); - static double EarthLongitudeAscendingNodeJ2000(double JD); - static double EarthLongitudePerihelionJ2000(double JD); - - static double MarsMeanLongitudeJ2000(double JD); - static double MarsInclinationJ2000(double JD); - static double MarsLongitudeAscendingNodeJ2000(double JD); - static double MarsLongitudePerihelionJ2000(double JD); - - static double JupiterMeanLongitudeJ2000(double JD); - static double JupiterInclinationJ2000(double JD); - static double JupiterLongitudeAscendingNodeJ2000(double JD); - static double JupiterLongitudePerihelionJ2000(double JD); - - static double SaturnMeanLongitudeJ2000(double JD); - static double SaturnInclinationJ2000(double JD); - static double SaturnLongitudeAscendingNodeJ2000(double JD); - static double SaturnLongitudePerihelionJ2000(double JD); - - static double UranusMeanLongitudeJ2000(double JD); - static double UranusInclinationJ2000(double JD); - static double UranusLongitudeAscendingNodeJ2000(double JD); - static double UranusLongitudePerihelionJ2000(double JD); - - static double NeptuneMeanLongitudeJ2000(double JD); - static double NeptuneInclinationJ2000(double JD); - static double NeptuneLongitudeAscendingNodeJ2000(double JD); - static double NeptuneLongitudePerihelionJ2000(double JD); -}; - -#endif //__AAELEMENTSPLANETARYORBIT_H__ diff --git a/Vendor/AA+/1.6.3/AAElliptical.h b/Vendor/AA+/1.6.3/AAElliptical.h deleted file mode 100755 index a440ce9..0000000 --- a/Vendor/AA+/1.6.3/AAElliptical.h +++ /dev/null @@ -1,156 +0,0 @@ -/* -Module : AAELLIPTICAL.H -Purpose: Implementation for the algorithms for an elliptical orbit -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAELLIPTICAL_H__ -#define __AAELLIPTICAL_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Includes ////////////////////////////////////////////// - -#include "AA3DCoordinate.h" - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAEllipticalObjectElements -{ -public: -//Constructors / Destructors - CAAEllipticalObjectElements() : a(0), - e(0), - i(0), - w(0), - omega(0), - JDEquinox(0), - T(0) - { - }; - -//member variables - double a; - double e; - double i; - double w; - double omega; - double JDEquinox; - double T; -}; - -class AAPLUS_EXT_CLASS CAAEllipticalPlanetaryDetails -{ -public: -//Constructors / Destructors - CAAEllipticalPlanetaryDetails() : ApparentGeocentricLongitude(0), - ApparentGeocentricLatitude(0), - ApparentGeocentricDistance(0), - ApparentLightTime(0), - ApparentGeocentricRA(0), - ApparentGeocentricDeclination(0) - { - }; - -//Member variables - double ApparentGeocentricLongitude; - double ApparentGeocentricLatitude; - double ApparentGeocentricDistance; - double ApparentLightTime; - double ApparentGeocentricRA; - double ApparentGeocentricDeclination; -}; - -class AAPLUS_EXT_CLASS CAAEllipticalObjectDetails -{ -public: -//Constructors / Destructors - CAAEllipticalObjectDetails() : HeliocentricEclipticLongitude(0), - HeliocentricEclipticLatitude(0), - TrueGeocentricRA(0), - TrueGeocentricDeclination(0), - TrueGeocentricDistance(0), - TrueGeocentricLightTime(0), - AstrometricGeocentricRA(0), - AstrometricGeocentricDeclination(0), - AstrometricGeocentricDistance(0), - AstrometricGeocentricLightTime(0), - Elongation(0), - PhaseAngle(0) - { - }; - -//Member variables - CAA3DCoordinate HeliocentricRectangularEquatorial; - CAA3DCoordinate HeliocentricRectangularEcliptical; - double HeliocentricEclipticLongitude; - double HeliocentricEclipticLatitude; - double TrueGeocentricRA; - double TrueGeocentricDeclination; - double TrueGeocentricDistance; - double TrueGeocentricLightTime; - double AstrometricGeocentricRA; - double AstrometricGeocentricDeclination; - double AstrometricGeocentricDistance; - double AstrometricGeocentricLightTime; - double Elongation; - double PhaseAngle; -}; - -class AAPLUS_EXT_CLASS CAAElliptical -{ -public: -//Enums - enum EllipticalObject - { - SUN, - MERCURY, - VENUS, - MARS, - JUPITER, - SATURN, - URANUS, - NEPTUNE, - PLUTO - }; - -//Static methods - static double DistanceToLightTime(double Distance); - static CAAEllipticalPlanetaryDetails Calculate(double JD, EllipticalObject object, bool bHighPrecision); - static double SemiMajorAxisFromPerihelionDistance(double q, double e); - static double MeanMotionFromSemiMajorAxis(double a); - static CAAEllipticalObjectDetails Calculate(double JD, const CAAEllipticalObjectElements& elements, bool bHighPrecision); - static double InstantaneousVelocity(double r, double a); - static double VelocityAtPerihelion(double e, double a); - static double VelocityAtAphelion(double e, double a); - static double LengthOfEllipse(double e, double a); - static double CometMagnitude(double g, double delta, double k, double r); - static double MinorPlanetMagnitude(double H, double delta, double G, double r, double PhaseAngle); -}; - - -#endif //#ifndef __AAELLIPTICAL_H__ diff --git a/Vendor/AA+/1.6.3/AAInterpolate.cpp b/Vendor/AA+/1.6.3/AAInterpolate.cpp deleted file mode 100755 index de875ff..0000000 --- a/Vendor/AA+/1.6.3/AAInterpolate.cpp +++ /dev/null @@ -1,247 +0,0 @@ -/* -Module : AAINTERPOLATE.CPP -Purpose: Implementation for the algorithms for Interpolation -Created: PJN / 29-12-2003 -History: None - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -////////////////////// Includes /////////////////////////////////////////////// - -#include "stdafx.h" -#include "AAInterpolate.h" -#include -#include -using namespace std; - - -////////////////////// Implementation ///////////////////////////////////////// - -double CAAInterpolate::Interpolate(double n, double Y1, double Y2, double Y3) -{ - double a = Y2 - Y1; - double b = Y3 - Y2; - double c = Y1 + Y3 - 2*Y2; - - return Y2 + n / 2 * (a + b + n*c); -} - -double CAAInterpolate::Interpolate(double n, double Y1, double Y2, double Y3, double Y4, double Y5) -{ - double A = Y2 - Y1; - double B = Y3 - Y2; - double C = Y4 - Y3; - double D = Y5 - Y4; - double E = B - A; - double F = C - B; - double G = D - C; - double H = F - E; - double J = G - F; - double K = J - H; - - double N2 = n*n; - double N3 = N2*n; - double N4 = N3*n; - - return Y3 + n*((B+C)/2 - (H+J)/12) + N2*(F/2 - K/24) + N3*((H+J)/12) + N4*(K/24); -} - -double CAAInterpolate::InterpolateToHalves(double Y1, double Y2, double Y3, double Y4) -{ - return (9*(Y2 + Y3) - Y1 - Y4) / 16; -} - -double CAAInterpolate::LagrangeInterpolate(double X, int n, double* pX, double* pY) -{ - //Validate our parameters - assert(pX); - assert(pY); -#ifdef __analysis_assume - __analysis_assume(pX); - __analysis_assume(pY); -#endif //#ifdef __analysis_assume - - double V = 0; - - for (int i=1; i<=n; i++) - { - double C = 1; - for (int j=1; j<=n; j++) - { - if (j != i) - C = C*(X - pX[j-1]) / (pX[i-1] - pX[j-1]); - } - - V += C*pY[i - 1]; - } - - return V; -} - -double CAAInterpolate::Extremum(double Y1, double Y2, double Y3, double& nm) -{ - double a = Y2 - Y1; - double b = Y3 - Y2; - double c = Y1 + Y3 - 2*Y2; - - double ab = a + b; - - nm = -ab/(2*c); - return (Y2 - ((ab*ab)/(8*c))); -} - -double CAAInterpolate::Extremum(double Y1, double Y2, double Y3, double Y4, double Y5, double& nm) -{ - double A = Y2 - Y1; - double B = Y3 - Y2; - double C = Y4 - Y3; - double D = Y5 - Y4; - double E = B - A; - double F = C - B; - double G = D - C; - double H = F - E; - double J = G - F; - double K = J - H; - - bool bRecalc = true; - double nmprev = 0; - nm = nmprev; - while (bRecalc) - { - double NMprev2 = nmprev*nmprev; - double NMprev3 = NMprev2*nmprev; - nm = (6*B + 6*C - H - J +3*NMprev2*(H+J) + 2*NMprev3*K) / (K - 12*F); - - bRecalc = (fabs(nm - nmprev) > 1E-12); - if (bRecalc) - nmprev = nm; - } - - return Interpolate(nm, Y1, Y2, Y3, Y4, Y5); -} - -double CAAInterpolate::Zero(double Y1, double Y2, double Y3) -{ - double a = Y2 - Y1; - double b = Y3 - Y2; - double c = Y1 + Y3 - 2*Y2; - - bool bRecalc = true; - double n0prev = 0; - double n0 = n0prev; - while (bRecalc) - { - n0 = -2*Y2/(a + b + c*n0prev); - - bRecalc = (fabs(n0 - n0prev) > 1E-12); - if (bRecalc) - n0prev = n0; - } - - return n0; -} - -double CAAInterpolate::Zero(double Y1, double Y2, double Y3, double Y4, double Y5) -{ - double A = Y2 - Y1; - double B = Y3 - Y2; - double C = Y4 - Y3; - double D = Y5 - Y4; - double E = B - A; - double F = C - B; - double G = D - C; - double H = F - E; - double J = G - F; - double K = J - H; - - bool bRecalc = true; - double n0prev = 0; - double n0 = n0prev; - while (bRecalc) - { - double n0prev2 = n0prev*n0prev; - double n0prev3 = n0prev2*n0prev; - double n0prev4 = n0prev3*n0prev; - - n0 = (-24*Y3 + n0prev2*(K - 12*F) - 2*n0prev3*(H+J) - n0prev4*K)/(2*(6*B + 6*C - H - J)); - - bRecalc = (fabs(n0 - n0prev) > 1E-12); - if (bRecalc) - n0prev = n0; - } - - return n0; -} - - -double CAAInterpolate::Zero2(double Y1, double Y2, double Y3) -{ - double a = Y2 - Y1; - double b = Y3 - Y2; - double c = Y1 + Y3 - 2*Y2; - - bool bRecalc = true; - double n0prev = 0; - double n0 = n0prev; - while (bRecalc) - { - double deltan0 = - (2*Y2 + n0prev*(a + b + c*n0prev)) / (a + b + 2*c*n0prev); - n0 = n0prev + deltan0; - - bRecalc = (fabs(deltan0) > 1E-12); - if (bRecalc) - n0prev = n0; - } - - return n0; -} - -double CAAInterpolate::Zero2(double Y1, double Y2, double Y3, double Y4, double Y5) -{ - double A = Y2 - Y1; - double B = Y3 - Y2; - double C = Y4 - Y3; - double D = Y5 - Y4; - double E = B - A; - double F = C - B; - double G = D - C; - double H = F - E; - double J = G - F; - double K = J - H; - double M = K / 24; - double N = (H + J)/12; - double P = F/2 - M; - double Q = (B+C)/2 - N; - - bool bRecalc = true; - double n0prev = 0; - double n0 = n0prev; - while (bRecalc) - { - double n0prev2 = n0prev*n0prev; - double n0prev3 = n0prev2*n0prev; - double n0prev4 = n0prev3*n0prev; - - double deltan0 = - (M * n0prev4 + N*n0prev3 + P*n0prev2 + Q*n0prev + Y3) / (4*M*n0prev3 + 3*N*n0prev2 + 2*P*n0prev + Q); - n0 = n0prev + deltan0; - - bRecalc = (fabs(deltan0) > 1E-12); - if (bRecalc) - n0prev = n0; - } - - return n0; -} diff --git a/Vendor/AA+/1.6.3/AAInterpolate.h b/Vendor/AA+/1.6.3/AAInterpolate.h deleted file mode 100755 index 6ce156c..0000000 --- a/Vendor/AA+/1.6.3/AAInterpolate.h +++ /dev/null @@ -1,54 +0,0 @@ -/* -Module : AAINTERPOLATE.H -Purpose: Implementation for the algorithms for Interpolation -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAINTERPOLATE_H__ -#define __AAINTERPOLATE_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAInterpolate -{ -public: -//Static methods - static double Interpolate(double n, double Y1, double Y2, double Y3); - static double Interpolate(double n, double Y1, double Y2, double Y3, double Y4, double Y5); - static double InterpolateToHalves(double Y1, double Y2, double Y3, double Y4); - static double LagrangeInterpolate(double X, int n, double* pX, double* pY); - static double Extremum(double Y1, double Y2, double Y3, double& nm); - static double Extremum(double Y1, double Y2, double Y3, double Y4, double Y5, double& nm); - static double Zero(double Y1, double Y2, double Y3); - static double Zero(double Y1, double Y2, double Y3, double Y4, double Y5); - static double Zero2(double Y1, double Y2, double Y3); - static double Zero2(double Y1, double Y2, double Y3, double Y4, double Y5); -}; - - -#endif //#ifndef __AAINTERPOLATE_H__ diff --git a/Vendor/AA+/1.6.3/AAJupiter.cpp b/Vendor/AA+/1.6.3/AAJupiter.cpp deleted file mode 100755 index 13953f1..0000000 --- a/Vendor/AA+/1.6.3/AAJupiter.cpp +++ /dev/null @@ -1,809 +0,0 @@ -/* -Module : AAJUPITER.CPP -Purpose: Implementation for the algorithms which obtain the heliocentric position of Uranus -Created: PJN / 29-12-2003 -History: PJN / 31-05-2004 1) Added a missing coefficient to g_L1JupiterCoefficients array as used by - CAAJupiter::EclipticLongitude. Thanks to Brian Orme for reporting this problem. - 2) Added missing g_B5JupiterCoefficients[] in CAAJupiter::EclipticLatitude. Again - thanks to Brian Orme for reporting this problem. - PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 04-08-2013 1. Fixed a transcription error in the thirty ninth coefficient used to calculate - the L0 term for the ecliptic longitude of Jupiter. Thanks to Isaac Clark for - reporting this issue. - 2. Fixed a transcription error in the sixteenth coefficient used to calculate the - R1 term for the ecliptic radius vector of Jupiter. Thanks to Isaac Clark for - reporting this issue. - 3. Spot tests indicate that these two changes only affected the the ecliptic - longitude in the seventh decimal place and the ecliptic radius vector in the - seventh decimal place. - 4. Updated copyright details - PJN / 16-09-2015 1. CAAJupiter::EclipticLongitude, EclipticLatitude & RadiusVector now include a - "bool bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Includes ////////////////////////////////////////////// - -#include "stdafx.h" -#include "AAJupiter.h" -#include "AACoordinateTransformation.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87D_JUP.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -////////////////////// Macros / Defines /////////////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0JupiterCoefficients[] = -{ - { 59954691, 0, 0 }, - { 9695899, 5.0619179, 529.6909651 }, - { 573610, 1.444062, 7.113547 }, - { 306389, 5.417347, 1059.381930 }, - { 97178, 4.14265, 632.78374 }, - { 72903, 3.64043, 522.57742 }, - { 64264, 3.41145, 103.09277 }, - { 39806, 2.29377, 419.48464 }, - { 38858, 1.27232, 316.39187 }, - { 27965, 1.78455, 536.80451 }, - { 13590, 5.77481, 1589.07290 }, - { 8769, 3.6300, 949.1756 }, - { 8246, 3.5823, 206.1855 }, - { 7368, 5.0810, 735.8765 }, - { 6263, 0.0250, 213.2991 }, - { 6114, 4.5132, 1162.4747 }, - { 5305, 4.1863, 1052.2684 }, - { 5305, 1.3067, 14.2271 }, - { 4905, 1.3208, 110.2063 }, - { 4647, 4.6996, 3.9322 }, - { 3045, 4.3168, 426.5982 }, - { 2610, 1.5667, 846.0828 }, - { 2028, 1.0638, 3.1814 }, - { 1921, 0.9717, 639.8973 }, - { 1765, 2.1415, 1066.4955 }, - { 1723, 3.8804, 1265.5675 }, - { 1633, 3.5820, 515.4639 }, - { 1432, 4.2968, 625.6702 }, - { 973, 4.098, 95.979 }, - { 884, 2.437, 412.371 }, - { 733, 6.085, 838.969 }, - { 731, 3.806, 1581.959 }, - { 709, 1.293, 742.990 }, - { 692, 6.134, 2118.764 }, - { 614, 4.109, 1478.867 }, - { 582, 4.540, 309.278 }, - { 495, 3.756, 323.505 }, - { 441, 2.958, 454.909 }, - { 417, 1.036, 2.448 }, - { 390, 4.897, 1692.166 }, - { 376, 4.703, 1368.660 }, - { 341, 5.715, 533.623 }, - { 330, 4.740, 0.048 }, - { 262, 1.877, 0.963 }, - { 261, 0.820, 380.128 }, - { 257, 3.724, 199.072 }, - { 244, 5.220, 728.763 }, - { 235, 1.227, 909.819 }, - { 220, 1.651, 543.918 }, - { 207, 1.855, 525.759 }, - { 202, 1.807, 1375.774 }, - { 197, 5.293, 1155.361 }, - { 175, 3.730, 942.062 }, - { 175, 3.226, 1898.351 }, - { 175, 5.910, 956.289 }, - { 158, 4.365, 1795.258 }, - { 151, 3.906, 74.782 }, - { 149, 4.377, 1685.052 }, - { 141, 3.136, 491.558 }, - { 138, 1.318, 1169.588 }, - { 131, 4.169, 1045.155 }, - { 117, 2.500, 1596.186 }, - { 117, 3.389, 0.521 }, - { 106, 4.554, 526.510 } -}; - -const VSOP87Coefficient g_L1JupiterCoefficients[] = -{ - { 52993480757.0, 0, 0 }, - { 489741, 4.220667, 529.690965 }, - { 228919, 6.026475, 7.113547 }, - { 27655, 4.57266, 1059.38193 }, - { 20721, 5.45939, 522.57742 }, - { 12106, 0.16986, 536.80451 }, - { 6068, 4.4242, 103.0928 }, - { 5434, 3.9848, 419.4846 }, - { 4238, 5.8901, 14.2271 }, - { 2212, 5.2677, 206.1855 }, - { 1746, 4.9267, 1589.0729 }, - { 1296, 5.5513, 3.1814 }, - { 1173, 5.8565, 1052.2684 }, - { 1163, 0.5145, 3.9322 }, - { 1099, 5.3070, 515.4639 }, - { 1007, 0.4648, 735.8765 }, - { 1004, 3.1504, 426.5982 }, - { 848, 5.758, 110.206 }, - { 827, 4.803, 213.299 }, - { 816, 0.586, 1066.495 }, - { 725, 5.518, 639.897 }, - { 568, 5.989, 625.670 }, - { 474, 4.132, 412.371 }, - { 413, 5.737, 95.979 }, - { 345, 4.242, 632.784 }, - { 336, 3.732, 1162.475 }, - { 234, 4.035, 949.176 }, - { 234, 6.243, 309.278 }, - { 199, 1.505, 838.969 }, - { 195, 2.219, 323.505 }, - { 187, 6.086, 742.990 }, - { 184, 6.280, 543.918 }, - { 171, 5.417, 199.072 }, - { 131, 0.626, 728.763 }, - { 115, 0.680, 846.083 }, - { 115, 5.286, 2118.764 }, - { 108, 4.493, 956.289 }, - { 80, 5.82, 1045.15 }, - { 72, 5.34, 942.06 }, - { 70, 5.97, 532.87 }, - { 67, 5.73, 21.34 }, - { 66, 0.13, 526.51 }, - { 65, 6.09, 1581.96 }, - { 59, 0.59, 1155.36 }, - { 58, 0.99, 1596.19 }, - { 57, 5.97, 1169.59 }, - { 57, 1.41, 533.62 }, - { 55, 5.43, 10.29 }, - { 52, 5.73, 117.32 }, - { 52, 0.23, 1368.66 }, - { 50, 6.08, 525.76 }, - { 47, 3.63, 1478.87 }, - { 47, 0.51, 1265.57 }, - { 40, 4.16, 1692.17 }, - { 34, 0.10, 302.16 }, - { 33, 5.04, 220.41 }, - { 32, 5.37, 508.35 }, - { 29, 5.42, 1272.68 }, - { 29, 3.36, 4.67 }, - { 29, 0.76, 88.87 }, - { 25, 1.61, 831.86 } -}; - -const VSOP87Coefficient g_L2JupiterCoefficients[] = -{ - { 47234, 4.32148, 7.11355 }, - { 38966, 0, 0 }, - { 30629, 2.93021, 529.69097 }, - { 3189, 1.0550, 522.5774 }, - { 2729, 4.8455, 536.8045 }, - { 2723, 3.4141, 1059.3819 }, - { 1721, 4.1873, 14.2271 }, - { 383, 5.768, 419.485 }, - { 378, 0.760, 515.464 }, - { 367, 6.055, 103.093 }, - { 337, 3.786, 3.181 }, - { 308, 0.694, 206.186 }, - { 218, 3.814, 1589.073 }, - { 199, 5.340, 1066.495 }, - { 197, 2.484, 3.932 }, - { 156, 1.406, 1052.268 }, - { 146, 3.814, 639.897 }, - { 142, 1.634, 426.598 }, - { 130, 5.837, 412.371 }, - { 117, 1.414, 625.670 }, - { 97, 4.03, 110.21 }, - { 91, 1.11, 95.98 }, - { 87, 2.52, 632.78 }, - { 79, 4.64, 543.92 }, - { 72, 2.22, 735.88 }, - { 58, 0.83, 199.07 }, - { 57, 3.12, 213.30 }, - { 49, 1.67, 309.28 }, - { 40, 4.02, 21.34 }, - { 40, 0.62, 323.51 }, - { 36, 2.33, 728.76 }, - { 29, 3.61, 10.29 }, - { 28, 3.24, 838.97 }, - { 26, 4.50, 742.99 }, - { 26, 2.51, 1162.47 }, - { 25, 1.22, 1045.15 }, - { 24, 3.01, 956.29 }, - { 19, 4.29, 532.87 }, - { 18, 0.81, 508.35 }, - { 17, 4.20, 2118.76 }, - { 17, 1.83, 526.51 }, - { 15, 5.81, 1596.19 }, - { 15, 0.68, 942.06 }, - { 15, 4.00, 117.32 }, - { 14, 5.95, 316.39 }, - { 14, 1.80, 302.16 }, - { 13, 2.52, 88.87 }, - { 13, 4.37, 1169.59 }, - { 11, 4.44, 525.76 }, - { 10, 1.72, 1581.96 }, - { 9, 2.18, 1155.36 }, - { 9, 3.29, 220.41 }, - { 9, 3.32, 831.86 }, - { 8, 5.76, 846.08 }, - { 8, 2.71, 533.62 }, - { 7, 2.18, 1265.57 }, - { 6, 0.50, 949.18 } -}; - -const VSOP87Coefficient g_L3JupiterCoefficients[] = -{ - { 6502, 2.5986, 7.1135 }, - { 1357, 1.3464, 529.6910 }, - { 471, 2.475, 14.227 }, - { 417, 3.245, 536.805 }, - { 353, 2.974, 522.577 }, - { 155, 2.076, 1059.382 }, - { 87, 2.51, 515.46 }, - { 44, 0, 0 }, - { 34, 3.83, 1066.50 }, - { 28, 2.45, 206.19 }, - { 24, 1.28, 412.37 }, - { 23, 2.98, 543.92 }, - { 20, 2.10, 639.90 }, - { 20, 1.40, 419.48 }, - { 19, 1.59, 103.09 }, - { 17, 2.30, 21.34 }, - { 17, 2.60, 1589.07 }, - { 16, 3.15, 625.67 }, - { 16, 3.36, 1052.27 }, - { 13, 2.76, 95.98 }, - { 13, 2.54, 199.07 }, - { 13, 6.27, 426.60 }, - { 9, 1.76, 10.29 }, - { 9, 2.27, 110.21 }, - { 7, 3.43, 309.28 }, - { 7, 4.04, 728.76 }, - { 6, 2.52, 508.35 }, - { 5, 2.91, 1045.15 }, - { 5, 5.25, 323.51 }, - { 4, 4.30, 88.87 }, - { 4, 3.52, 302.16 }, - { 4, 4.09, 735.88 }, - { 3, 1.43, 956.29 }, - { 3, 4.36, 1596.19 }, - { 3, 1.25, 213.30 }, - { 3, 5.02, 838.97 }, - { 3, 2.24, 117.32 }, - { 2, 2.90, 742.99 }, - { 2, 2.36, 942.06 } -}; - -const VSOP87Coefficient g_L4JupiterCoefficients[] = -{ - { 669, 0.853, 7.114 }, - { 114, 3.142, 0 }, - { 100, 0.743, 14.227 }, - { 50, 1.65, 536.80 }, - { 44, 5.82, 529.69 }, - { 32, 4.86, 522.58 }, - { 15, 4.29, 515.46 }, - { 9, 0.71, 1059.38 }, - { 5, 1.30, 543.92 }, - { 4, 2.32, 1066.50 }, - { 4, 0.48, 21.34 }, - { 3, 3.00, 412.37 }, - { 2, 0.40, 639.90 }, - { 2, 4.26, 199.07 }, - { 2, 4.91, 625.67 }, - { 2, 4.26, 206.19 }, - { 1, 5.26, 1052.27 }, - { 1, 4.72, 95.98 }, - { 1, 1.29, 1589.07 } -}; - -const VSOP87Coefficient g_L5JupiterCoefficients[] = -{ - { 50, 5.26, 7.11 }, - { 16, 5.25, 14.23 }, - { 4, 0.01, 536.80 }, - { 2, 1.10, 522.58 }, - { 1, 3.14, 0 } -}; - -const VSOP87Coefficient g_B0JupiterCoefficients[] = -{ - { 2268616, 3.5585261, 529.6909651 }, - { 110090, 0, 0 }, - { 109972, 3.908093, 1059.381930 }, - { 8101, 3.6051, 522.5774 }, - { 6438, 0.3063, 536.8045 }, - { 6044, 4.2588, 1589.0729 }, - { 1107, 2.9853, 1162.4747 }, - { 944, 1.675, 426.598 }, - { 942, 2.936, 1052.268 }, - { 894, 1.754, 7.114 }, - { 836, 5.179, 103.093 }, - { 767, 2.155, 632.784 }, - { 684, 3.678, 213.299 }, - { 629, 0.643, 1066.495 }, - { 559, 0.014, 846.083 }, - { 532, 2.703, 110.206 }, - { 464, 1.173, 949.176 }, - { 431, 2.608, 419.485 }, - { 351, 4.611, 2118.764 }, - { 132, 4.778, 742.990 }, - { 123, 3.350, 1692.166 }, - { 116, 1.387, 323.505 }, - { 115, 5.049, 316.392 }, - { 104, 3.701, 515.464 }, - { 103, 2.319, 1478.867 }, - { 102, 3.153, 1581.959 } -}; - -const VSOP87Coefficient g_B1JupiterCoefficients[] = -{ - { 177352, 5.701665, 529.690965 }, - { 3230, 5.7794, 1059.3819 }, - { 3081, 5.4746, 522.5774 }, - { 2212, 4.7348, 536.8045 }, - { 1694, 3.1416, 0 }, - { 346, 4.746, 1052.268 }, - { 234, 5.189, 1066.495 }, - { 196, 6.186, 7.114 }, - { 150, 3.927, 1589.073 }, - { 114, 3.439, 632.784 }, - { 97, 2.91, 949.18 }, - { 82, 5.08, 1162.47 }, - { 77, 2.51, 103.09 }, - { 77, 0.61, 419.48 }, - { 74, 5.50, 515.46 }, - { 61, 5.45, 213.30 }, - { 50, 3.95, 735.88 }, - { 46, 0.54, 110.21 }, - { 45, 1.90, 846.08 }, - { 37, 4.70, 543.92 }, - { 36, 6.11, 316.39 }, - { 32, 4.92, 1581.96 } -}; - -const VSOP87Coefficient g_B2JupiterCoefficients[] = -{ - { 8094, 1.4632, 529.6910 }, - { 813, 3.1416, 0 }, - { 742, 0.957, 522.577 }, - { 399, 2.899, 536.805 }, - { 342, 1.447, 1059.382 }, - { 74, 0.41, 1052.27 }, - { 46, 3.48, 1066.50 }, - { 30, 1.93, 1589.07 }, - { 29, 0.99, 515.46 }, - { 23, 4.27, 7.11 }, - { 14, 2.92, 543.92 }, - { 12, 5.22, 632.78 }, - { 11, 4.88, 949.18 }, - { 6, 6.21, 1045.15 } -}; - -const VSOP87Coefficient g_B3JupiterCoefficients[] = -{ - { 252, 3.381, 529.691 }, - { 122, 2.733, 522.577 }, - { 49, 1.04, 536.80 }, - { 11, 2.31, 1052.27 }, - { 8, 2.77, 515.46 }, - { 7, 4.25, 1059.38 }, - { 6, 1.78, 1066.50 }, - { 4, 1.13, 543.92 }, - { 3, 3.14, 0 } -}; - -const VSOP87Coefficient g_B4JupiterCoefficients[] = -{ - { 15, 4.53, 522.58 }, - { 5, 4.47, 529.69 }, - { 4, 5.44, 536.80 }, - { 3, 0, 0 }, - { 2, 4.52, 515.46 }, - { 1, 4.20, 1052.27 } -}; - -const VSOP87Coefficient g_B5JupiterCoefficients[] = -{ - { 1, 0.09, 522.58 } -}; - -const VSOP87Coefficient g_R0JupiterCoefficients[] = -{ - { 520887429, 0, 0 }, - { 25209327, 3.49108640, 529.69096509 }, - { 610600, 3.841154, 1059.381930 }, - { 282029, 2.574199, 632.783739 }, - { 187647, 2.075904, 522.577418 }, - { 86793, 0.71001, 419.48464 }, - { 72063, 0.21466, 536.80451 }, - { 65517, 5.97996, 316.39187 }, - { 30135, 2.16132, 949.17561 }, - { 29135, 1.67759, 103.09277 }, - { 23947, 0.27458, 7.11355 }, - { 23453, 3.54023, 735.87651 }, - { 22284, 4.19363, 1589.07290 }, - { 13033, 2.96043, 1162.47470 }, - { 12749, 2.71550, 1052.26838 }, - { 9703, 1.9067, 206.1855 }, - { 9161, 4.4135, 213.2991 }, - { 7895, 2.4791, 426.5982 }, - { 7058, 2.1818, 1265.5675 }, - { 6138, 6.2642, 846.0828 }, - { 5477, 5.6573, 639.8973 }, - { 4170, 2.0161, 515.4639 }, - { 4137, 2.7222, 625.6702 }, - { 3503, 0.5653, 1066.4955 }, - { 2617, 2.0099, 1581.9593 }, - { 2500, 4.5518, 838.9693 }, - { 2128, 6.1275, 742.9901 }, - { 1912, 0.8562, 412.3711 }, - { 1611, 3.0887, 1368.6603 }, - { 1479, 2.6803, 1478.8666 }, - { 1231, 1.8904, 323.5054 }, - { 1217, 1.8017, 110.2063 }, - { 1015, 1.3867, 454.9094 }, - { 999, 2.872, 309.278 }, - { 961, 4.549, 2118.764 }, - { 886, 4.148, 533.623 }, - { 821, 1.593, 1898.351 }, - { 812, 5.941, 909.819 }, - { 777, 3.677, 728.763 }, - { 727, 3.988, 1155.361 }, - { 655, 2.791, 1685.052 }, - { 654, 3.382, 1692.166 }, - { 621, 4.823, 956.289 }, - { 615, 2.276, 942.062 }, - { 562, 0.081, 543.918 }, - { 542, 0.284, 525.759 } -}; - -const VSOP87Coefficient g_R1JupiterCoefficients[] = -{ - { 1271802,2.6493751, 529.6909651 }, - { 61662, 3.00076, 1059.38193 }, - { 53444, 3.89718, 522.57742 }, - { 41390, 0, 0 }, - { 31185, 4.88277, 536.80451 }, - { 11847, 2.41330, 419.48464 }, - { 9166, 4.7598, 7.1135 }, - { 3404, 3.3469, 1589.0729 }, - { 3203, 5.2108, 735.8765 }, - { 3176, 2.7930, 103.0928 }, - { 2806, 3.7422, 515.4639 }, - { 2677, 4.3305, 1052.2684 }, - { 2600, 3.6344, 206.1855 }, - { 2412, 1.4695, 426.5982 }, - { 2101, 3.9276, 639.8973 }, - { 1646, 5.3095, 1066.4955 }, - { 1641, 4.4163, 625.6702 }, - { 1050, 3.1611, 213.2991 }, - { 1025, 2.5543, 412.3711 }, - { 806, 2.678, 632.784 }, - { 741, 2.171, 1162.475 }, - { 677, 6.250, 838.969 }, - { 567, 4.577, 742.990 }, - { 485, 2.469, 949.176 }, - { 469, 4.710, 543.918 }, - { 445, 0.403, 323.505 }, - { 416, 5.368, 728.763 }, - { 402, 4.605, 309.278 }, - { 347, 4.681, 14.227 }, - { 338, 3.168, 956.289 }, - { 261, 5.343, 846.083 }, - { 247, 3.923, 942.062 }, - { 220, 4.842, 1368.660 }, - { 203, 5.600, 1155.361 }, - { 200, 4.439, 1045.155 }, - { 197, 3.706, 2118.764 }, - { 196, 3.759, 199.072 }, - { 184, 4.265, 95.979 }, - { 180, 4.402, 532.872 }, - { 170, 4.846, 526.510 }, - { 146, 6.130, 533.623 }, - { 133, 1.322, 110.206 }, - { 132, 4.512, 525.759 } -}; - -const VSOP87Coefficient g_R2JupiterCoefficients[] = -{ - { 79645, 1.35866, 529.69097 }, - { 8252, 5.7777, 522.5774 }, - { 7030, 3.2748, 536.8045 }, - { 5314, 1.8384, 1059.3819 }, - { 1861, 2.9768, 7.1135 }, - { 964, 5.480, 515.464 }, - { 836, 4.199, 419.485 }, - { 498, 3.142, 0 }, - { 427, 2.228, 639.897 }, - { 406, 3.783, 1066.495 }, - { 377, 2.242, 1589.073 }, - { 363, 5.368, 206.186 }, - { 342, 6.099, 1052.268 }, - { 339, 6.127, 625.670 }, - { 333, 0.003, 426.598 }, - { 280, 4.262, 412.371 }, - { 257, 0.963, 632.784 }, - { 230, 0.705, 735.877 }, - { 201, 3.069, 543.918 }, - { 200, 4.429, 103.093 }, - { 139, 2.932, 14.227 }, - { 114, 0.787, 728.763 }, - { 95, 1.70, 838.97 }, - { 86, 5.14, 323.51 }, - { 83, 0.06, 309.28 }, - { 80, 2.98, 742.99 }, - { 75, 1.60, 956.29 }, - { 70, 1.51, 213.30 }, - { 67, 5.47, 199.07 }, - { 62, 6.10, 1045.15 }, - { 56, 0.96, 1162.47 }, - { 52, 5.58, 942.06 }, - { 50, 2.72, 532.87 }, - { 45, 5.52, 508.35 }, - { 44, 0.27, 526.51 }, - { 40, 5.95, 95.98 } -}; - -const VSOP87Coefficient g_R3JupiterCoefficients[] = -{ - { 3519, 6.0580, 529.6910 }, - { 1073, 1.6732, 536.8045 }, - { 916, 1.413, 522.577 }, - { 342, 0.523, 1059.382 }, - { 255, 1.196, 7.114 }, - { 222, 0.952, 515.464 }, - { 90, 3.14, 0 }, - { 69, 2.27, 1066.50 }, - { 58, 1.41, 543.92 }, - { 58, 0.53, 639.90 }, - { 51, 5.98, 412.37 }, - { 47, 1.58, 625.67 }, - { 43, 6.12, 419.48 }, - { 37, 1.18, 14.23 }, - { 34, 1.67, 1052.27 }, - { 34, 0.85, 206.19 }, - { 31, 1.04, 1589.07 }, - { 30, 4.63, 426.60 }, - { 21, 2.50, 728.76 }, - { 15, 0.89, 199.07 }, - { 14, 0.96, 508.35 }, - { 13, 1.50, 1045.15 }, - { 12, 2.61, 735.88 }, - { 12, 3.56, 323.51 }, - { 11, 1.79, 309.28 }, - { 11, 6.28, 956.29 }, - { 10, 6.26, 103.09 }, - { 9, 3.45, 838.97 } -}; - -const VSOP87Coefficient g_R4JupiterCoefficients[] = -{ - { 129, 0.084, 536.805 }, - { 113, 4.249, 529.691 }, - { 83, 3.30, 522.58 }, - { 38, 2.73, 515.46 }, - { 27, 5.69, 7.11 }, - { 18, 5.40, 1059.38 }, - { 13, 6.02, 543.92 }, - { 9, 0.77, 1066.50 }, - { 8, 5.68, 14.23 }, - { 7, 1.43, 412.37 }, - { 6, 5.12, 639.90 }, - { 5, 3.34, 625.67 }, - { 3, 3.40, 1052.27 }, - { 3, 4.16, 728.76 }, - { 3, 2.90, 426.60 } -}; - -const VSOP87Coefficient g_R5JupiterCoefficients[] = -{ - { 11, 4.75, 536.80 }, - { 4, 5.92, 522.58 }, - { 2, 5.57, 515.46 }, - { 2, 4.30, 543.92 }, - { 2, 3.69, 7.11 }, - { 2, 4.13, 1059.38 }, - { 2, 5.49, 1066.50 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -////////////////////////// Implementation ///////////////////////////////////// - -double CAAJupiter::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Jupiter::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0JupiterCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i -using namespace std; - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0MarsCoefficients[] = -{ - { 620347712, 0, 0 }, - { 18656368, 5.05037100, 3340.61242670 }, - { 1108217, 5.4009984, 6681.2248534 }, - { 91798, 5.75479, 10021.83728 }, - { 27745, 5.97050, 3.52312 }, - { 12316, 0.84956, 2810.92146 }, - { 10610, 2.93959, 2281.23050 }, - { 8927, 4.1570, 0.0173 }, - { 8716, 6.1101, 13362.4497 }, - { 7775, 3.3397, 5621.8429 }, - { 6798, 0.3646, 398.1490 }, - { 4161, 0.2281, 2942.4634 }, - { 3575, 1.6619, 2544.3144 }, - { 3075, 0.8570, 191.4483 }, - { 2938, 6.0789, 0.0673 }, - { 2628, 0.6481, 3337.0893 }, - { 2580, 0.0300, 3344.1355 }, - { 2389, 5.0390, 796.2980 }, - { 1799, 0.6563, 529.6910 }, - { 1546, 2.9158, 1751.5395 }, - { 1528, 1.1498, 6151.5339 }, - { 1286, 3.0680, 2146.1654 }, - { 1264, 3.6228, 5092.1520 }, - { 1025, 3.6933, 8962.4553 }, - { 892, 0.183, 16703.062 }, - { 859, 2.401, 2914.014 }, - { 833, 4.495, 3340.630 }, - { 833, 2.464, 3340.595 }, - { 749, 3.822, 155.420 }, - { 724, 0.675, 3738.761 }, - { 713, 3.663, 1059.382 }, - { 655, 0.489, 3127.313 }, - { 636, 2.922, 8432.764 }, - { 553, 4.475, 1748.016 }, - { 550, 3.810, 0.980 }, - { 472, 3.625, 1194.447 }, - { 426, 0.554, 6283.076 }, - { 415, 0.497, 213.299 }, - { 312, 0.999, 6677.702 }, - { 307, 0.381, 6684.748 }, - { 302, 4.486, 3532.061 }, - { 299, 2.783, 6254.627 }, - { 293, 4.221, 20.775 }, - { 284, 5.769, 3149.164 }, - { 281, 5.882, 1349.867 }, - { 274, 0.542, 3340.545 }, - { 274, 0.134, 3340.680 }, - { 239, 5.372, 4136.910 }, - { 236, 5.755, 3333.499 }, - { 231, 1.282, 3870.303 }, - { 221, 3.505, 382.897 }, - { 204, 2.821, 1221.849 }, - { 193, 3.357, 3.590 }, - { 189, 1.491, 9492.146 }, - { 179, 1.006, 951.718 }, - { 174, 2.414, 553.569 }, - { 172, 0.439, 5486.778 }, - { 160, 3.949, 4562.461 }, - { 144, 1.419, 135.065 }, - { 140, 3.326, 2700.715 }, - { 138, 4.301, 7.114 }, - { 131, 4.045, 12303.068 }, - { 128, 2.208, 1592.596 }, - { 128, 1.807, 5088.629 }, - { 117, 3.128, 7903.073 }, - { 113, 3.701, 1589.073 }, - { 110, 1.052, 242.729 }, - { 105, 0.785, 8827.390 }, - { 100, 3.243, 11773.377 } -}; - -const VSOP87Coefficient g_L1MarsCoefficients[] = -{ - { 334085627474.0, 0, 0 }, - { 1458227, 3.6042605, 3340.6124267 }, - { 164901, 3.926313, 6681.224853 }, - { 19963, 4.26594, 10021.83728 }, - { 3452, 4.7321, 3.5231 }, - { 2485, 4.6128, 13362.4497 }, - { 842, 4.459, 2281.230 }, - { 538, 5.016, 398.149 }, - { 521, 4.994, 3344.136 }, - { 433, 2.561, 191.448 }, - { 430, 5.316, 155.420 }, - { 382, 3.539, 796.298 }, - { 314, 4.963, 16703.062 }, - { 283, 3.160, 2544.314 }, - { 206, 4.569, 2146.165 }, - { 169, 1.329, 3337.089 }, - { 158, 4.185, 1751.540 }, - { 134, 2.233, 0.980 }, - { 134, 5.974, 1748.016 }, - { 118, 6.024, 6151.534 }, - { 117, 2.213, 1059.382 }, - { 114, 2.129, 1194.447 }, - { 114, 5.428, 3738.761 }, - { 91, 1.10, 1349.87 }, - { 85, 3.91, 553.57 }, - { 83, 5.30, 6684.75 }, - { 81, 4.43, 529.69 }, - { 80, 2.25, 8962.46 }, - { 73, 2.50, 951.72 }, - { 73, 5.84, 242.73 }, - { 71, 3.86, 2914.01 }, - { 68, 5.02, 382.90 }, - { 65, 1.02, 3340.60 }, - { 65, 3.05, 3340.63 }, - { 62, 4.15, 3149.16 }, - { 57, 3.89, 4136.91 }, - { 48, 4.87, 213.30 }, - { 48, 1.18, 3333.50 }, - { 47, 1.31, 3185.19 }, - { 41, 0.71, 1592.60 }, - { 40, 2.73, 7.11 }, - { 40, 5.32, 20043.67 }, - { 33, 5.41, 6283.08 }, - { 28, 0.05, 9492.15 }, - { 27, 3.89, 1221.85 }, - { 27, 5.11, 2700.72 } -}; - -const VSOP87Coefficient g_L2MarsCoefficients[] = -{ - { 58016, 2.04979, 3340.61243 }, - { 54188, 0, 0 }, - { 13908, 2.45742, 6681.22485 }, - { 2465, 2.8000, 10021.8373 }, - { 398, 3.141, 13362.450 }, - { 222, 3.194, 3.523 }, - { 121, 0.543, 155.420 }, - { 62, 3.49, 16703.06 }, - { 54, 3.54, 3344.14 }, - { 34, 6.00, 2281.23 }, - { 32, 4.14, 191.45 }, - { 30, 2.00, 796.30 }, - { 23, 4.33, 242.73 }, - { 22, 3.45, 398.15 }, - { 20, 5.42, 553.57 }, - { 16, 0.66, 0.98 }, - { 16, 6.11, 2146.17 }, - { 16, 1.22, 1748.02 }, - { 15, 6.10, 3185.19 }, - { 14, 4.02, 951.72 }, - { 14, 2.62, 1349.87 }, - { 13, 0.60, 1194.45 }, - { 12, 3.86, 6684.75 }, - { 11, 4.72, 2544.31 }, - { 10, 0.25, 382.90 }, - { 9, 0.68, 1059.38 }, - { 9, 3.83, 20043.67 }, - { 9, 3.88, 3738.76 }, - { 8, 5.46, 1751.54 }, - { 7, 2.58, 3149.16 }, - { 7, 2.38, 4136.91 }, - { 6, 5.48, 1592.60 }, - { 6, 2.34, 3097.88 } - -}; - -const VSOP87Coefficient g_L3MarsCoefficients[] = -{ - { 1482, 0.4443, 3340.6124 }, - { 662, 0.885, 6681.225 }, - { 188, 1.288, 10021.837 }, - { 41, 1.65, 13362.45 }, - { 26, 0, 0 }, - { 23, 2.05, 155.42 }, - { 10, 1.58, 3.52 }, - { 8, 2.00, 16703.06 }, - { 5, 2.82, 242.73 }, - { 4, 2.02, 3344.14 }, - { 3, 4.59, 3185.19 }, - { 3, 0.65, 553.57 } -}; - -const VSOP87Coefficient g_L4MarsCoefficients[] = -{ - { 114, 3.1416, 0 }, - { 29, 5.64, 6681.22 }, - { 24, 5.14, 3340.61 }, - { 11, 6.03, 10021.84 }, - { 3, 0.13, 13362.45 }, - { 3, 3.56, 155.42 }, - { 1, 0.49, 16703.06 }, - { 1, 1.32, 242.73 } -}; - -const VSOP87Coefficient g_L5MarsCoefficients[] = -{ - { 1, 3.14, 0 }, - { 1, 4.04, 6681.22 } -}; - -const VSOP87Coefficient g_B0MarsCoefficients[] = -{ - { 3197135, 3.7683204, 3340.6124267 }, - { 298033, 4.106170, 6681.224853 }, - { 289105, 0, 0 }, - { 31366, 4.44651, 10021.83728 }, - { 3484, 4.7881, 13362.4497 }, - { 443, 5.026, 3344.136 }, - { 443, 5.652, 3337.089 }, - { 399, 5.131, 16703.062 }, - { 293, 3.793, 2281.230 }, - { 182, 6.136, 6151.534 }, - { 163, 4.264, 529.691 }, - { 160, 2.232, 1059.382 }, - { 149, 2.165, 5621.843 }, - { 143, 1.182, 3340.595}, - { 143, 3.213, 3340.630 }, - { 139, 2.418, 8962.455 } -}; - -const VSOP87Coefficient g_B1MarsCoefficients[] = -{ - { 350069, 5.368478, 3340.612427 }, - { 14116, 3.14159, 0 }, - { 9671, 5.4788, 6681.2249 }, - { 1472, 3.2021, 10021.8373 }, - { 426, 3.408, 13362.450 }, - { 102, 0.776, 3337.089 }, - { 79, 3.72, 16703.06 }, - { 33, 3.46, 5621.84 }, - { 26, 2.48, 2281.23 } -}; - -const VSOP87Coefficient g_B2MarsCoefficients[] = -{ - { 16727, 0.60221, 3340.61243 }, - { 4987, 3.1416, 0 }, - { 302, 5.559, 6681.225 }, - { 26, 1.90, 13362.45 }, - { 21, 0.92, 10021.84 }, - { 12, 2.24, 3337.09 }, - { 8, 2.25, 16703.06 } -}; - -const VSOP87Coefficient g_B3MarsCoefficients[] = -{ - { 607, 1.981, 3340.612 }, - { 43, 0, 0 }, - { 14, 1.80, 6681.22 }, - { 3, 3.45, 10021.84 } -}; - -const VSOP87Coefficient g_B4MarsCoefficients[] = -{ - { 13, 0, 0 }, - { 11, 3.46, 3340.61 }, - { 1, 0.50, 6681.22 } -}; - -const VSOP87Coefficient g_R0MarsCoefficients[] = -{ - { 153033488, 0, 0 }, - { 14184953, 3.47971284, 3340.61242670 }, - { 660776, 3.817834, 6681.224853 }, - { 46179, 4.15595, 10021.83728 }, - { 8110, 5.5596, 2810.9215 }, - { 7485, 1.7724, 5621.8429 }, - { 5523, 1.3644, 2281.2305 }, - { 3825, 4.4941, 13362.4497 }, - { 2484, 4.9255, 2942.4634 }, - { 2307, 0.0908, 2544.3144 }, - { 1999, 5.3606, 3337.0893 }, - { 1960, 4.7425, 3344.1355 }, - { 1167, 2.1126, 5092.1520 }, - { 1103, 5.0091, 398.1490 }, - { 992, 5.839, 6151.534 }, - { 899, 4.408, 529.691 }, - { 807, 2.102, 1059.382 }, - { 798, 3.448, 796.298 }, - { 741, 1.499, 2146.165 }, - { 726, 1.245, 8432.764 }, - { 692, 2.134, 8962.455 }, - { 633, 0.894, 3340.595 }, - { 633, 2.924, 3340.630 }, - { 630, 1.287, 1751.540 }, - { 574, 0.829, 2914.014 }, - { 526, 5.383, 3738.761 }, - { 473, 5.199, 3127.313 }, - { 348, 4.832, 16703.062 }, - { 284, 2.907, 3532.061 }, - { 280, 5.257, 6283.076 }, - { 276, 1.218, 6254.627 }, - { 275, 2.908, 1748.016 }, - { 270, 3.764, 5884.927 }, - { 239, 2.037, 1194.447 }, - { 234, 5.105, 5486.778 }, - { 228, 3.255, 6872.673 }, - { 223, 4.199, 3149.164 }, - { 219, 5.583, 191.448 }, - { 208, 5.255, 3340.545 }, - { 208, 4.846, 3340.680 }, - { 186, 5.699, 6677.702 }, - { 183, 5.081, 6684.748 }, - { 179, 4.184, 3333.499 }, - { 176, 5.953, 3870.303 }, - { 164, 3.799, 4136.910 } -}; - -const VSOP87Coefficient g_R1MarsCoefficients[] = -{ - { 1107433, 2.0325052, 3340.6124267 }, - { 103176, 2.370718, 6681.224853 }, - { 12877, 0, 0 }, - { 10816, 2.70888, 10021.83728 }, - { 1195, 3.0470, 13362.4497 }, - { 439, 2.888, 2281.230 }, - { 396, 3.423, 3344.136 }, - { 183, 1.584, 2544.314 }, - { 136, 3.385, 16703.062 }, - { 128, 6.043, 3337.089 }, - { 128, 0.630, 1059.382 }, - { 127, 1.954, 796.298 }, - { 118, 2.998, 2146.165 }, - { 88, 3.42, 398.15 }, - { 83, 3.86, 3738.76 }, - { 76, 4.45, 6151.53 }, - { 72, 2.76, 529.69 }, - { 67, 2.55, 1751.54 }, - { 66, 4.41, 1748.02 }, - { 58, 0.54, 1194.45 }, - { 54, 0.68, 8962.46 }, - { 51, 3.73, 6684.75 }, - { 49, 5.73, 3340.60 }, - { 49, 1.48, 3340.63 }, - { 48, 2.58, 3149.16 }, - { 48, 2.29, 2914.01 }, - { 39, 2.32, 4136.91 } -}; - -const VSOP87Coefficient g_R2MarsCoefficients[] = -{ - { 44242, 0.47931, 3340.61243 }, - { 8138, 0.8700, 6681.2249 }, - { 1275, 1.2259, 10021.8373 }, - { 187, 1.573, 13362.450 }, - { 52, 3.14, 0 }, - { 41, 1.97, 3344.14 }, - { 27, 1.92, 16703.06 }, - { 18, 4.43, 2281.23 }, - { 12, 4.53, 3185.19 }, - { 10, 5.39, 1059.38 }, - { 10, 0.42, 796.30 } -}; - -const VSOP87Coefficient g_R3MarsCoefficients[] = -{ - { 1113, 5.1499, 3340.6124 }, - { 424, 5.613, 6681.225 }, - { 100, 5.997, 10021.837 }, - { 20, 0.08, 13362.45 }, - { 5, 3.14, 0 }, - { 3, 0.43, 16703.06 } -}; - -const VSOP87Coefficient g_R4MarsCoefficients[] = -{ - { 20, 3.58, 3340.61 }, - { 16, 4.05, 6681.22 }, - { 6, 4.46, 10021.84 }, - { 2, 4.84, 13362.45 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -///////////////////////////// Implementation ////////////////////////////////// - -double CAAMars::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mars::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0MarsCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i -using namespace std; - - -//////////////////////////// Macros / Defines ///////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0MercuryCoefficients[] = -{ - { 440250710, 0, 0 }, - { 40989415, 1.48302034, 26087.90314157 }, - { 5046294, 4.4778549, 52175.8062831 }, - { 855347, 1.165203, 78263.709425 }, - { 165590, 4.119692, 104351.612566 }, - { 34562, 0.77931, 130439.51571 }, - { 7583, 3.7135, 156527.4188 }, - { 3560, 1.5120, 1109.3786 }, - { 1803, 4.1033, 5661.3320 }, - { 1726, 0.3583, 182615.3220 }, - { 1590, 2.9951, 25028.5212 }, - { 1365, 4.5992, 27197.2817 }, - { 1017, 0.8803, 31749.2352 }, - { 714, 1.541, 24978.525 }, - { 644, 5.303, 21535.950 }, - { 451, 6.050, 51116.424 }, - { 404, 3.282, 208703.225 }, - { 352, 5.242, 20426.571 }, - { 345, 2.792, 15874.618 }, - { 343, 5.765, 955.600 }, - { 339, 5.863, 25558.212 }, - { 325, 1.337, 53285.185 }, - { 273, 2.495, 529.691 }, - { 264, 3.917, 57837.138 }, - { 260, 0.987, 4551.953 }, - { 239, 0.113, 1059.382 }, - { 235, 0.267, 11322.664 }, - { 217, 0.660, 13521.751 }, - { 209, 2.092, 47623.853 }, - { 183, 2.629, 27043.503 }, - { 182, 2.434, 25661.305 }, - { 176, 4.536, 51066.428 }, - { 173, 2.452, 24498.830 }, - { 142, 3.360, 37410.567 }, - { 138, 0.291, 10213.286 }, - { 125, 3.721, 39609.655 }, - { 118, 2.781, 77204.327 }, - { 106, 4.206, 19804.827 } -}; - -const VSOP87Coefficient g_L1MercuryCoefficients[] = -{ - { 2608814706223.0, 0, 0 }, - { 1126008, 6.2170397, 26087.9031416 }, - { 303471, 3.055655, 52175.806283 }, - { 80538, 6.10455, 78263.70942 }, - { 21245, 2.83532, 104351.61257 }, - { 5592, 5.8268, 130439.5157 }, - { 1472, 2.5185, 156527.4188 }, - { 388, 5.480, 182615.322 }, - { 352, 3.052, 1109.379 }, - { 103, 2.149, 208703.225 }, - { 94, 6.12, 27197.28 }, - { 91, 0.00, 24978.52 }, - { 52, 5.62, 5661.33 }, - { 44, 4.57, 25028.52 }, - { 28, 3.04, 51066.43 }, - { 27, 5.09, 234791.13 } -}; - -const VSOP87Coefficient g_L2MercuryCoefficients[] = -{ - { 53050, 0, 0 }, - { 16904, 4.69072, 26087.90314 }, - { 7397, 1.3474, 52175.8063 }, - { 3018, 4.4564, 78263.7094 }, - { 1107, 1.2623, 104351.6126 }, - { 378, 4.320, 130439.516 }, - { 123, 1.069, 156527.419 }, - { 39, 4.08, 182615.32 }, - { 15, 4.63, 1109.38 }, - { 12, 0.79, 208703.23 } -}; - -const VSOP87Coefficient g_L3MercuryCoefficients[] = -{ - { 188, 0.035, 52175.806 }, - { 142, 3.125, 26087.903 }, - { 97, 3.00, 78263.71 }, - { 44, 6.02, 104351.61 }, - { 35, 0, 0 }, - { 18, 2.78, 130439.52 }, - { 7, 5.82, 156527.42 }, - { 3, 2.57, 182615.32 } -}; - -const VSOP87Coefficient g_L4MercuryCoefficients[] = -{ - { 114, 3.1416, 0 }, - { 3, 2.03, 26087.90 }, - { 2, 1.42, 78263.71 }, - { 2, 4.50, 52175.81 }, - { 1, 4.50, 104351.61 }, - { 1, 1.27, 130439.52 } -}; - -const VSOP87Coefficient g_L5MercuryCoefficients[] = -{ - { 1, 3.14, 0 } -}; - -const VSOP87Coefficient g_B0MercuryCoefficients[] = -{ - { 11737529, 1.98357499, 26087.90314157 }, - { 2388077, 5.0373896, 52175.8062831 }, - { 1222840, 3.1415927, 0 }, - { 543252, 1.796444, 78263.709425 }, - { 129779, 4.832325, 104351.612566 }, - { 31867, 1.58088, 130439.51571 }, - { 7963, 4.6097, 156527.4188 }, - { 2014, 1.3532, 182615.3220 }, - { 514, 4.378, 208703.225 }, - { 209, 2.020, 24978.525 }, - { 208, 4.918, 27197.282 }, - { 132, 1.119, 234791.128 }, - { 121, 1.813, 53285.185 }, - { 100, 5.657, 20426.571 } -}; - -const VSOP87Coefficient g_B1MercuryCoefficients[] = -{ - { 429151, 3.501698, 26087.903142 }, - { 146234, 3.141593, 0 }, - { 22675, 0.01515, 52175.80628 }, - { 10895, 0.48540, 78263.70942 }, - { 6353, 3.4294, 104351.6126 }, - { 2496, 0.1605, 130439.5157 }, - { 860, 3.185, 156527.419 }, - { 278, 6.210, 182615.322 }, - { 86, 2.95, 208703.23 }, - { 28, 0.29, 27197.28 }, - { 26, 5.98, 234791.13 } -}; - -const VSOP87Coefficient g_B2MercuryCoefficients[] = -{ - { 11831, 4.79066, 26087.90314 }, - { 1914, 0, 0 }, - { 1045, 1.2122, 52175.8063 }, - { 266, 4.434, 78263.709 }, - { 170, 1.623, 104351.613 }, - { 96, 4.80, 130439.52 }, - { 45, 1.61, 156527.42 }, - { 18, 4.67, 182615.32 }, - { 7, 1.43, 208703.23 } -}; - -const VSOP87Coefficient g_B3MercuryCoefficients[] = -{ - { 235, 0.354, 26087.903 }, - { 161, 0, 0 }, - { 19, 4.36, 52175.81 }, - { 6, 2.51, 78263.71 }, - { 5, 6.14, 104351.61 }, - { 3, 3.12, 130439.52 }, - { 2, 6.27, 156527.42 } -}; - -const VSOP87Coefficient g_B4MercuryCoefficients[] = -{ - { 4, 1.75, 26087.90 }, - { 1, 3.14, 0 } -}; - -const VSOP87Coefficient g_R0MercuryCoefficients[] = -{ - { 39528272, 0, 0 }, - { 7834132, 6.1923372, 26087.9031416 }, - { 795526, 2.959897, 52175.806283 }, - { 121282, 6.010642, 78263.709425 }, - { 21922, 2.77820, 104351.61257 }, - { 4354, 5.8289, 130439.5157 }, - { 918, 2.597, 156527.419 }, - { 290, 1.424, 25028.521 }, - { 260, 3.028, 27197.282 }, - { 202, 5.647, 182615.322 }, - { 201, 5.592, 31749.235 }, - { 142, 6.253, 24978.525 }, - { 100, 3.734, 21535.950 } -}; - -const VSOP87Coefficient g_R1MercuryCoefficients[] = -{ - { 217348, 4.656172, 26087.903142 }, - { 44142, 1.42386, 52175.80628 }, - { 10094, 4.47466, 78263.70942 }, - { 2433, 1.2423, 104351.6126 }, - { 1624, 0, 0 }, - { 604, 4.293, 130439.516 }, - { 153, 1.061, 156527.419 }, - { 39, 4.11, 182615.32 } -}; - -const VSOP87Coefficient g_R2MercuryCoefficients[] = -{ - { 3118, 3.0823, 26087.9031 }, - { 1245, 6.1518, 52175.8063 }, - { 425, 2.926, 78263.709 }, - { 136, 5.980, 104351.613 }, - { 42, 2.75, 130439.52 }, - { 22, 3.14, 0 }, - { 13, 5.80, 156527.42 } -}; - -const VSOP87Coefficient g_R3MercuryCoefficients[] = -{ - { 33, 1.68, 26087.90 }, - { 24, 4.63, 52175.81 }, - { 12, 1.39, 78263.71 }, - { 5, 4.44, 104351.61 }, - { 2, 1.21, 130439.52 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -///////////////////////////// Implementation ////////////////////////////////// - -double CAAMercury::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Mercury::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0MercuryCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i -#include -#include -using namespace std; - - -//////////////////////////////// Macros / Defines ///////////////////////////// - -struct MoonCoefficient1 -{ - int D; - int M; - int Mdash; - int F; -}; - -struct MoonCoefficient2 -{ - double A; - double B; -}; - -const MoonCoefficient1 g_MoonCoefficients1[] = -{ - { 0, 0, 1, 0 }, - { 2, 0, -1, 0 }, - { 2, 0, 0, 0 }, - { 0, 0, 2, 0 }, - { 0, 1, 0, 0 }, - { 0, 0, 0, 2 }, - { 2, 0, -2, 0 }, - { 2, -1, -1, 0 }, - { 2, 0, 1, 0 }, - { 2, -1, 0, 0 }, - { 0, 1, -1, 0 }, - { 1, 0, 0, 0 }, - { 0, 1, 1, 0 }, - { 2, 0, 0, -2 }, - { 0, 0, 1, 2 }, - { 0, 0, 1, -2 }, - { 4, 0, -1, 0 }, - { 0, 0, 3, 0 }, - { 4, 0, -2, 0 }, - { 2, 1, -1, 0 }, - { 2, 1, 0, 0 }, - { 1, 0, -1, 0 }, - { 1, 1, 0, 0 }, - { 2, -1, 1, 0 }, - { 2, 0, 2, 0 }, - { 4, 0, 0, 0 }, - { 2, 0, -3, 0 }, - { 0, 1, -2, 0 }, - { 2, 0, -1, 2 }, - { 2, -1, -2, 0 }, - { 1, 0, 1, 0 }, - { 2, -2, 0, 0 }, - { 0, 1, 2, 0 }, - { 0, 2, 0, 0 }, - { 2, -2, -1, 0 }, - { 2, 0, 1, -2 }, - { 2, 0, 0, 2 }, - { 4, -1, -1, 0 }, - { 0, 0, 2, 2 }, - { 3, 0, -1, 0 }, - { 2, 1, 1, 0 }, - { 4, -1, -2, 0 }, - { 0, 2, -1, 0 }, - { 2, 2, -1, 0 }, - { 2, 1, -2, 0 }, - { 2, -1, 0, -2 }, - { 4, 0, 1, 0 }, - { 0, 0, 4, 0 }, - { 4, -1, 0, 0 }, - { 1, 0, -2, 0 }, - { 2, 1, 0, -2 }, - { 0, 0, 2, -2 }, - { 1, 1, 1, 0 }, - { 3, 0, -2, 0 }, - { 4, 0, -3, 0 }, - { 2, -1, 2, 0 }, - { 0, 2, 1, 0 }, - { 1, 1, -1, 0 }, - { 2, 0, 3, 0 }, - { 2, 0, -1, -2 } -}; - -const MoonCoefficient2 g_MoonCoefficients2[] = -{ - { 6288774, -20905355 }, - { 1274027, -3699111 }, - { 658314, -2955968 }, - { 213618, -569925 }, - { -185116, 48888 }, - { -114332, -3149 }, - { 58793, 246158 }, - { 57066, -152138 }, - { 53322, -170733 }, - { 45758, -204586 }, - { -40923, -129620 }, - { -34720, 108743 }, - { -30383, 104755 }, - { 15327, 10321 }, - { -12528, 0 }, - { 10980, 79661 }, - { 10675, -34782 }, - { 10034, -23210 }, - { 8548, -21636 }, - { -7888, 24208 }, - { -6766, 30824 }, - { -5163, -8379 }, - { 4987, -16675 }, - { 4036, -12831 }, - { 3994, -10445 }, - { 3861, -11650 }, - { 3665, 14403 }, - { -2689, -7003 }, - { -2602, 0 }, - { 2390, 10056 }, - { -2348, 6322 }, - { 2236, -9884 }, - { -2120, 5751 }, - { -2069, 0 }, - { 2048, -4950 }, - { -1773, 4130 }, - { -1595, 0 }, - { 1215, -3958 }, - { -1110, 0 }, - { -892, 3258 }, - { -810, 2616 }, - { 759, -1897 }, - { -713, -2117 }, - { -700, 2354 }, - { 691, 0 }, - { 596, 0 }, - { 549, -1423 }, - { 537, -1117 }, - { 520, -1571 }, - { -487, -1739 }, - { -399, 0 }, - { -381, -4421 }, - { 351, 0 }, - { -340, 0 }, - { 330, 0 } , - { 327, 0 }, - { -323, 1165 }, - { 299, 0 }, - { 294, 0 }, - { 0, 8752 } -}; - -const MoonCoefficient1 g_MoonCoefficients3[] = -{ - { 0, 0, 0, 1 }, - { 0, 0, 1, 1 }, - { 0, 0, 1, -1 }, - { 2, 0, 0, -1 }, - { 2, 0, -1, 1 }, - { 2, 0, -1, -1 }, - { 2, 0, 0, 1 }, - { 0, 0, 2, 1 }, - { 2, 0, 1, -1 }, - { 0, 0, 2, -1 }, - { 2, -1, 0, -1 }, - { 2, 0, -2, -1 }, - { 2, 0, 1, 1 }, - { 2, 1, 0, -1 }, - { 2, -1, -1, 1 }, - { 2, -1, 0, 1 }, - { 2, -1, -1, -1 }, - { 0, 1, -1, -1 }, - { 4, 0, -1, -1 } , - { 0, 1, 0, 1 }, - { 0, 0, 0, 3 }, - { 0, 1, -1, 1 }, - { 1, 0, 0, 1 }, - { 0, 1, 1, 1, }, - { 0, 1, 1, -1 }, - { 0, 1, 0, -1 }, - { 1, 0, 0, -1 }, - { 0, 0, 3, 1 }, - { 4, 0, 0, -1 }, - { 4, 0, -1, 1, }, - { 0, 0, 1, -3 }, - { 4, 0, -2, 1 }, - { 2, 0, 0, -3 }, - { 2, 0, 2, -1 }, - { 2, -1, 1, -1 }, - { 2, 0, -2, 1 }, - { 0, 0, 3, -1 }, - { 2, 0, 2, 1 }, - { 2, 0, -3, -1 }, - { 2, 1, -1, 1 }, - { 2, 1, 0, 1 }, - { 4, 0, 0, 1 }, - { 2, -1, 1, 1 }, - { 2, -2, 0, -1 }, - { 0, 0, 1, 3 }, - { 2, 1, 1, -1 }, - { 1, 1, 0, -1 }, - { 1, 1, 0, 1 }, - { 0, 1, -2, -1 }, - { 2, 1, -1, -1 }, - { 1, 0, 1, 1 }, - { 2, -1, -2, -1 }, - { 0, 1, 2, 1 }, - { 4, 0, -2, -1 }, - { 4, -1, -1, -1 }, - { 1, 0, 1, -1 }, - { 4, 0, 1, -1 }, - { 1, 0, -1, -1 }, - { 4, -1, 0, -1 }, - { 2, -2, 0, 1 }, -}; - -const double g_MoonCoefficients4[] = -{ - 5128122, - 280602, - 277693, - 173237, - 55413, - 46271, - 32573, - 17198, - 9266, - 8822, - 8216, - 4324, - 4200, - -3359, - 2463, - 2211, - 2065, - -1870, - 1828, - -1794, - -1749, - -1565, - -1491, - -1475, - -1410, - -1344, - -1335, - 1107, - 1021, - 833, - 777, - 671, - 607, - 596, - 491, - -451, - 439, - 422, - 421, - -366, - -351, - 331, - 315, - 302, - -283, - -229, - 223, - 223, - -220, - -220, - -185, - 181, - -177, - 176, - 166, - -164, - 132, - -119, - 115, - 107, -}; - - -/////////////////////////////// Implementation //////////////////////////////// - -double CAAMoon::MeanLongitude(double JD) -{ - double T = (JD - 2451545) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; - return CAACoordinateTransformation::MapTo0To360Range(218.3164477 + 481267.88123421*T - 0.0015786*Tsquared + Tcubed/538841 - T4/65194000); -} - -double CAAMoon::MeanElongation(double JD) -{ - double T = (JD - 2451545) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; - return CAACoordinateTransformation::MapTo0To360Range(297.8501921 + 445267.1114034*T - 0.0018819*Tsquared + Tcubed/545868 - T4/113065000); -} - -double CAAMoon::MeanAnomaly(double JD) -{ - double T = (JD - 2451545) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; - return CAACoordinateTransformation::MapTo0To360Range(134.9633964 + 477198.8675055*T + 0.0087414*Tsquared + Tcubed/69699 - T4/14712000); -} - -double CAAMoon::ArgumentOfLatitude(double JD) -{ - double T = (JD - 2451545) / 36525; - double Tsquared = T*T; - double Tcubed = Tsquared*T; - double T4 = Tcubed*T; - return CAACoordinateTransformation::MapTo0To360Range(93.2720950 + 483202.0175233*T - 0.0036539*Tsquared - Tcubed/3526000 + T4/863310000); -} - -double CAAMoon::EclipticLongitude(double JD) -{ - double Ldash = MeanLongitude(JD); - double LdashDegrees = Ldash; - Ldash = CAACoordinateTransformation::DegreesToRadians(Ldash); - double D = MeanElongation(JD); - D = CAACoordinateTransformation::DegreesToRadians(D); - double M = CAAEarth::SunMeanAnomaly(JD); - M = CAACoordinateTransformation::DegreesToRadians(M); - double Mdash = MeanAnomaly(JD); - Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); - double F = ArgumentOfLatitude(JD); - F = CAACoordinateTransformation::DegreesToRadians(F); - - double E = CAAEarth::Eccentricity(JD); - double Esquared = E*E; - double T = (JD - 2451545) / 36525; - - double A1 = CAACoordinateTransformation::MapTo0To360Range(119.75 + 131.849*T); - A1 = CAACoordinateTransformation::DegreesToRadians(A1); - double A2 = CAACoordinateTransformation::MapTo0To360Range(53.09 + 479264.290*T); - A2 = CAACoordinateTransformation::DegreesToRadians(A2); - - size_t nLCoefficients = sizeof(g_MoonCoefficients1) / sizeof(MoonCoefficient1); - assert(nLCoefficients == sizeof(g_MoonCoefficients2) / sizeof(MoonCoefficient2)); - double SigmaL = 0; - for (size_t i=0; i 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAMOONMAXDECLINATIONS_H__ -#define __AAMOONMAXDECLINATIONS_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -////////////////////// Classes //////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAMoonMaxDeclinations -{ -public: -//Static methods - static double K(double Year); - static double MeanGreatestDeclination(double k, bool bNortherly); - static double MeanGreatestDeclinationValue(double k); - static double TrueGreatestDeclination(double k, bool bNortherly); - static double TrueGreatestDeclinationValue(double k, bool bNortherly); -}; - - -#endif //#ifndef __AAMOONMAXDECLINATIONS_H__ diff --git a/Vendor/AA+/1.6.3/AAMoonPerigeeApogee.h b/Vendor/AA+/1.6.3/AAMoonPerigeeApogee.h deleted file mode 100755 index 57cd8e5..0000000 --- a/Vendor/AA+/1.6.3/AAMoonPerigeeApogee.h +++ /dev/null @@ -1,51 +0,0 @@ -/* -Module : AAMOONPERIGEEAPOGEE.H -Purpose: Implementation for the algorithms which obtain the dates of Lunar Apogee and Perigee -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAMOONPERIGEEAPOGEE_H__ -#define __AAMOONPERIGEEAPOGEE_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAMoonPerigeeApogee -{ -public: -//Static methods - static double K(double Year); - static double MeanPerigee(double k); - static double MeanApogee(double k); - static double TruePerigee(double k); - static double TrueApogee(double k); - static double PerigeeParallax(double k); - static double ApogeeParallax(double k); -}; - - -#endif //#ifndef __AAMOONPERIGEEAPOGEE_H__ diff --git a/Vendor/AA+/1.6.3/AAMoonPhases.cpp b/Vendor/AA+/1.6.3/AAMoonPhases.cpp deleted file mode 100755 index a19f6d6..0000000 --- a/Vendor/AA+/1.6.3/AAMoonPhases.cpp +++ /dev/null @@ -1,228 +0,0 @@ -/* -Module : AAMOONPHASES.CPP -Purpose: Implementation for the algorithms which obtain the dates for the phases of the Moon -Created: PJN / 11-01-2004 -History: PJN / 22-02-2004 1. Fixed a bug in the calculation of the phase type from the k value in - CAAMoonPhases::TruePhase. - PJN / 10-09-2011 1. Fixed a bug in the calculation of the "F" local variable which represents - the Moon's argument of latitude in the CAAMoonPhases::TruePhase method. - Thanks to Andrew Hammond for reporting this bug. - PJN / 29-03-2015 1. Fixed up some variable initializations around the use of modf. Thanks to Arnaud Cueille for - reporting this issue. - -Copyright (c) 2004 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -//////////////////////////// Includes ///////////////////////////////////////// - -#include "stdafx.h" -#include "AAMoonPhases.h" -#include "AACoordinateTransformation.h" -#include -#include -using namespace std; - - -//////////////////////////// Implementation /////////////////////////////////// - -double CAAMoonPhases::K(double Year) -{ - return 12.3685*(Year - 2000); -} - -double CAAMoonPhases::MeanPhase(double k) -{ - //convert from K to T - double T = k/1236.85; - double T2 = T*T; - double T3 = T2*T; - double T4 = T3*T; - - return 2451550.09766 + 29.530588861*k + 0.00015437*T2 - 0.000000150*T3 + 0.00000000073*T4; -} - -double CAAMoonPhases::TruePhase(double k) -{ - //What will be the return value - double JD = MeanPhase(k); - - //convert from K to T - double T = k/1236.85; - double T2 = T*T; - double T3 = T2*T; - double T4 = T3*T; - - double E = 1 - 0.002516*T - 0.0000074*T2; - double E2 = E*E; - - double M = CAACoordinateTransformation::MapTo0To360Range(2.5534 + 29.10535670*k - 0.0000014*T2 - 0.00000011*T3); - M = CAACoordinateTransformation::DegreesToRadians(M); - double Mdash = CAACoordinateTransformation::MapTo0To360Range(201.5643 + 385.81693528*k + 0.0107582*T2 + 0.00001238*T3 - 0.000000058*T4); - Mdash = CAACoordinateTransformation::DegreesToRadians(Mdash); - double F = CAACoordinateTransformation::MapTo0To360Range(160.7108 + 390.67050284*k - 0.0016118*T2 - 0.00000227*T3 + 0.000000011*T4); - F = CAACoordinateTransformation::DegreesToRadians(F); - double omega = CAACoordinateTransformation::MapTo0To360Range(124.7746 - 1.56375588*k + 0.0020672*T2 + 0.00000215*T3); - omega = CAACoordinateTransformation::DegreesToRadians(omega); - double A1 = CAACoordinateTransformation::MapTo0To360Range(299.77 + 0.107408*k - 0.009173*T2); - A1 = CAACoordinateTransformation::DegreesToRadians(A1); - double A2 = CAACoordinateTransformation::MapTo0To360Range(251.88 + 0.016321*k); - A2 = CAACoordinateTransformation::DegreesToRadians(A2); - double A3 = CAACoordinateTransformation::MapTo0To360Range(251.83 + 26.651886*k); - A3 = CAACoordinateTransformation::DegreesToRadians(A3); - double A4 = CAACoordinateTransformation::MapTo0To360Range(349.42 + 36.412478*k); - A4 = CAACoordinateTransformation::DegreesToRadians(A4); - double A5 = CAACoordinateTransformation::MapTo0To360Range(84.66 + 18.206239*k); - A5 = CAACoordinateTransformation::DegreesToRadians(A5); - double A6 = CAACoordinateTransformation::MapTo0To360Range(141.74 + 53.303771*k); - A6 = CAACoordinateTransformation::DegreesToRadians(A6); - double A7 = CAACoordinateTransformation::MapTo0To360Range(207.14 + 2.453732*k); - A7 = CAACoordinateTransformation::DegreesToRadians(A7); - double A8 = CAACoordinateTransformation::MapTo0To360Range(154.84 + 7.306860*k); - A8 = CAACoordinateTransformation::DegreesToRadians(A8); - double A9 = CAACoordinateTransformation::MapTo0To360Range(34.52 + 27.261239*k); - A9 = CAACoordinateTransformation::DegreesToRadians(A9); - double A10 = CAACoordinateTransformation::MapTo0To360Range(207.19 + 0.121824*k); - A10 = CAACoordinateTransformation::DegreesToRadians(A10); - double A11 = CAACoordinateTransformation::MapTo0To360Range(291.34 + 1.844379*k); - A11 = CAACoordinateTransformation::DegreesToRadians(A11); - double A12 = CAACoordinateTransformation::MapTo0To360Range(161.72 + 24.198154*k); - A12 = CAACoordinateTransformation::DegreesToRadians(A12); - double A13 = CAACoordinateTransformation::MapTo0To360Range(239.56 + 25.513099*k); - A13 = CAACoordinateTransformation::DegreesToRadians(A13); - double A14 = CAACoordinateTransformation::MapTo0To360Range(331.55 + 3.592518*k); - A14 = CAACoordinateTransformation::DegreesToRadians(A14); - - //convert to radians - double kint = 0; - double kfrac = modf(k, &kint); - if (kfrac < 0) - kfrac = 1 + kfrac; - if (kfrac == 0) //New Moon - { - double DeltaJD = -0.40720*sin(Mdash) + - 0.17241*E*sin(M) + - 0.01608*sin(2*Mdash) + - 0.01039*sin(2*F) + - 0.00739*E*sin(Mdash - M) + - -0.00514*E*sin(Mdash + M) + - 0.00208*E2*sin(2*M) + - -0.00111*sin(Mdash - 2*F) + - -0.00057*sin(Mdash + 2*F) + - 0.00056*E*sin(2*Mdash + M) + - -0.00042*sin(3*Mdash) + - 0.00042*E*sin(M + 2*F) + - 0.00038*E*sin(M - 2*F) + - -0.00024*E*sin(2*Mdash - M) + - -0.00017*sin(omega) + - -0.00007*sin(Mdash + 2*M) + - 0.00004*sin(2*Mdash - 2*F) + - 0.00004*sin(3*M) + - 0.00003*sin(Mdash + M - 2*F) + - 0.00003*sin(2*Mdash + 2*F) + - -0.00003*sin(Mdash + M + 2*F) + - 0.00003*sin(Mdash - M + 2*F) + - -0.00002*sin(Mdash - M - 2*F) + - -0.00002*sin(3*Mdash + M) + - 0.00002*sin(4*Mdash); - JD += DeltaJD; - } - else if ((kfrac == 0.25) || (kfrac == 0.75)) //First Quarter or Last Quarter - { - double DeltaJD = -0.62801*sin(Mdash) + - 0.17172*E*sin(M) + - -0.01183*E*sin(Mdash + M) + - 0.00862*sin(2*Mdash) + - 0.00804*sin(2*F) + - 0.00454*E*sin(Mdash - M) + - 0.00204*E2*sin(2*M) + - -0.00180*sin(Mdash - 2*F) + - -0.00070*sin(Mdash + 2*F) + - -0.00040*sin(3*Mdash) + - -0.00034*E*sin(2*Mdash - M) + - 0.00032*E*sin(M + 2*F) + - 0.00032*E*sin(M - 2*F) + - -0.00028*E2*sin(Mdash + 2*M) + - 0.00027*E*sin(2*Mdash + M) + - -0.00017*sin(omega) + - -0.00005*sin(Mdash - M - 2*F) + - 0.00004*sin(2*Mdash + 2*F) + - -0.00004*sin(Mdash + M + 2*F) + - 0.00004*sin(Mdash - 2*M) + - 0.00003*sin(Mdash + M - 2*F) + - 0.00003*sin(3*M) + - 0.00002*sin(2*Mdash - 2*F) + - 0.00002*sin(Mdash - M + 2*F) + - -0.00002*sin(3*Mdash + M); - JD += DeltaJD; - - double W = 0.00306 - 0.00038*E*cos(M) + 0.00026*cos(Mdash) - 0.00002*cos(Mdash - M) + 0.00002*cos(Mdash + M) + 0.00002*cos(2*F); - if (kfrac == 0.25) //First quarter - JD += W; - else - JD -= W; - } - else if (kfrac == 0.5) //Full Moon - { - double DeltaJD = -0.40614*sin(Mdash) + - 0.17302*E*sin(M) + - 0.01614*sin(2*Mdash) + - 0.01043*sin(2*F) + - 0.00734*E*sin(Mdash - M) + - -0.00514*E*sin(Mdash + M) + - 0.00209*E2*sin(2*M) + - -0.00111*sin(Mdash - 2*F) + - -0.00057*sin(Mdash + 2*F) + - 0.00056*E*sin(2*Mdash + M) + - -0.00042*sin(3*Mdash) + - 0.00042*E*sin(M + 2*F) + - 0.00038*E*sin(M - 2*F) + - -0.00024*E*sin(2*Mdash - M) + - -0.00017*sin(omega) + - -0.00007*sin(Mdash + 2*M) + - 0.00004*sin(2*Mdash - 2*F) + - 0.00004*sin(3*M) + - 0.00003*sin(Mdash + M - 2*F) + - 0.00003*sin(2*Mdash + 2*F) + - -0.00003*sin(Mdash + M + 2*F) + - 0.00003*sin(Mdash - M + 2*F) + - -0.00002*sin(Mdash - M - 2*F) + - -0.00002*sin(3*Mdash + M) + - 0.00002*sin(4*Mdash); - JD += DeltaJD; - } - else - { - assert(false); - } - - //Additional corrections for all phases - double DeltaJD2 = 0.000325*sin(A1) + - 0.000165*sin(A2) + - 0.000164*sin(A3) + - 0.000126*sin(A4) + - 0.000110*sin(A5) + - 0.000062*sin(A6) + - 0.000060*sin(A7) + - 0.000056*sin(A8) + - 0.000047*sin(A9) + - 0.000042*sin(A10) + - 0.000040*sin(A11) + - 0.000037*sin(A12) + - 0.000035*sin(A13) + - 0.000023*sin(A14); - JD += DeltaJD2; - - return JD; -} diff --git a/Vendor/AA+/1.6.3/AANearParabolic.h b/Vendor/AA+/1.6.3/AANearParabolic.h deleted file mode 100755 index f6a69d7..0000000 --- a/Vendor/AA+/1.6.3/AANearParabolic.h +++ /dev/null @@ -1,112 +0,0 @@ -/* -Module : AANEARPARABOLIC.H -Purpose: Implementation for the algorithms for a parabolic orbit -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AANEARPARABOLIC_H__ -#define __AANEARPARABOLIC_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Includes ////////////////////////////////////////////// - -#include "AA3DCoordinate.h" - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAANearParabolicObjectElements -{ -public: -//Constructors / Destructors - CAANearParabolicObjectElements() : q(0), - i(0), - w(0), - omega(0), - JDEquinox(0), - T(0), - e(1.0) - { - }; - -//Member variables - double q; - double i; - double w; - double omega; - double JDEquinox; - double T; - double e; -}; - -class AAPLUS_EXT_CLASS CAANearParabolicObjectDetails -{ -public: -//Constructors / Destructors - CAANearParabolicObjectDetails() : HeliocentricEclipticLongitude(0), - HeliocentricEclipticLatitude(0), - TrueGeocentricRA(0), - TrueGeocentricDeclination(0), - TrueGeocentricDistance(0), - TrueGeocentricLightTime(0), - AstrometricGeocentricRA(0), - AstrometricGeocentricDeclination(0), - AstrometricGeocentricDistance(0), - AstrometricGeocentricLightTime(0), - Elongation(0), - PhaseAngle(0) - { - }; - -//Member variables - CAA3DCoordinate HeliocentricRectangularEquatorial; - CAA3DCoordinate HeliocentricRectangularEcliptical; - double HeliocentricEclipticLongitude; - double HeliocentricEclipticLatitude; - double TrueGeocentricRA; - double TrueGeocentricDeclination; - double TrueGeocentricDistance; - double TrueGeocentricLightTime; - double AstrometricGeocentricRA; - double AstrometricGeocentricDeclination; - double AstrometricGeocentricDistance; - double AstrometricGeocentricLightTime; - double Elongation; - double PhaseAngle; -}; - -class AAPLUS_EXT_CLASS CAANearParabolic -{ -public: -//Static methods - static CAANearParabolicObjectDetails Calculate(double JD, const CAANearParabolicObjectElements& elements, bool bHighPrecision); - static double cbrt(double x); - static void CalulateTrueAnnomalyAndRadius(double JD, const CAANearParabolicObjectElements& elements, double& v, double& r); -}; - - -#endif //#ifndef __AANEARPARABOLIC_H__ diff --git a/Vendor/AA+/1.6.3/AANeptune.cpp b/Vendor/AA+/1.6.3/AANeptune.cpp deleted file mode 100755 index 190b298..0000000 --- a/Vendor/AA+/1.6.3/AANeptune.cpp +++ /dev/null @@ -1,423 +0,0 @@ -/* -Module : AANEPTUNE.CPP -Purpose: Implementation for the algorithms which obtain the heliocentric position of Neptune -Created: PJN / 29-12-2003 -History: PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 04-08-2013 1. Fixed a transcription error in the second coefficient used to calculate the B0 - term for the ecliptic latitude of Neptune. Thanks to Isaac Clark for - reporting this issue. Spot tests indicate that this change only affected the - ecliptic latitude in the sixth decimal place. - 2. Updated copyright details - PJN / 16-09-2015 1. CAANeptune::EclipticLongitude, EclipticLatitude & RadiusVector now include a - "bool bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book. - - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -////////////////////////// Includes /////////////////////////////////////////// - -#include "stdafx.h" -#include "AANeptune.h" -#include "AACoordinateTransformation.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87D_NEP.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -////////////////////////// Macros / Defines /////////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0NeptuneCoefficients[] = -{ - { 531188633, 0, 0 }, - { 1798476, 2.9010127, 38.1330356 }, - { 1019728, 0.4858092, 1.4844727 }, - { 124532, 4.830081, 36.648563 }, - { 42064, 5.41055, 2.96895 }, - { 37715, 6.09222, 35.16409 }, - { 33785, 1.24489, 76.26607 }, - { 16483, 0.00008, 491.55793 }, - { 9199, 4.9375, 39.6175 }, - { 8994, 0.2746, 175.1661 }, - { 4216, 1.9871, 73.2971 }, - { 3365, 1.0359, 33.6796 }, - { 2285, 4.2061, 4.4534 }, - { 1434, 2.7834, 74.7816 }, - { 900, 2.076, 109.946 }, - { 745, 3.190, 71.813 }, - { 506, 5.748, 114.399 }, - { 400, 0.350, 1021.249 }, - { 345, 3.462, 41.102 }, - { 340, 3.304, 77.751 }, - { 323, 2.248, 32.195 }, - { 306, 0.497, 0.521 }, - { 287, 4.505, 0.048 }, - { 282, 2.246, 146.594 }, - { 267, 4.889, 0.963 }, - { 252, 5.782, 388.465 }, - { 245, 1.247, 9.561 }, - { 233, 2.505, 137.033 }, - { 227, 1.797, 453.425 }, - { 170, 3.324, 108.461 }, - { 151, 2.192, 33.940 }, - { 150, 2.997, 5.938 }, - { 148, 0.859, 111.430 }, - { 119, 3.677, 2.448 }, - { 109, 2.416, 183.243 }, - { 103, 0.041, 0.261 }, - { 103, 4.404, 70.328 }, - { 102, 5.705, 0.112 } -}; - -const VSOP87Coefficient g_L1NeptuneCoefficients[] = -{ - { 3837687717.0, 0, 0 }, - { 16604, 4.86319, 1.48447 }, - { 15807, 2.27923, 38.13304 }, - { 3335, 3.6820, 76.2661 }, - { 1306, 3.6732, 2.9689 }, - { 605, 1.505, 35.164 }, - { 179, 3.453, 39.618 }, - { 107, 2.451, 4.453 }, - { 106, 2.755, 33.680 }, - { 73, 5.49, 36.65 }, - { 57, 1.86, 114.40 }, - { 57, 5.22, 0.52 }, - { 35, 4.52, 74.78 }, - { 32, 5.90, 77.75 }, - { 30, 3.67, 388.47 }, - { 29, 5.17, 9.56 }, - { 29, 5.17, 2.45 }, - { 26, 5.25, 168.05 } -}; - -const VSOP87Coefficient g_L2NeptuneCoefficients[] = -{ - { 53893, 0, 0 }, - { 296, 1.855, 1.484 }, - { 281, 1.191, 38.133 }, - { 270, 5.721, 76.266 }, - { 23, 1.21, 2.97 }, - { 9, 4.43, 35.16 }, - { 7, 0.54, 2.45 } -}; - -const VSOP87Coefficient g_L3NeptuneCoefficients[] = -{ - { 31, 0, 0 }, - { 15, 1.35, 76.27 }, - { 12, 6.04, 1.48 }, - { 12, 6.11, 38.13 } -}; - -const VSOP87Coefficient g_L4NeptuneCoefficients[] = -{ - { 114, 3.142, 0 } -}; - -const VSOP87Coefficient g_B0NeptuneCoefficients[] = -{ - { 3088623, 1.4410437, 38.1330356 }, - { 27780, 5.91272, 76.26607 }, - { 27624, 0, 0 }, - { 15448, 3.50877, 39.61751 }, - { 15355, 2.52124, 36.64856 }, - { 2000, 1.5100, 74.7816 }, - { 1968, 4.3778, 1.4845 }, - { 1015, 3.2156, 35.1641 }, - { 606, 2.802, 73.297 }, - { 595, 2.129, 41.102 }, - { 589, 3.187, 2.969 }, - { 402, 4.169, 114.399 }, - { 280, 1.682, 77.751 }, - { 262, 3.767, 213.299 }, - { 254, 3.271, 453.425 }, - { 206, 4.257, 529.691 }, - { 140, 3.530, 137.033 } -}; - -const VSOP87Coefficient g_B1NeptuneCoefficients[] = -{ - { 227279, 3.807931, 38.133036 }, - { 1803, 1.9758, 76.2661 }, - { 1433, 3.1416, 0 }, - { 1386, 4.8256, 36.6486 }, - { 1073, 6.0805, 39.6175 }, - { 148, 3.858, 74.782 }, - { 136, 0.478, 1.484 }, - { 70, 6.19, 35.16 }, - { 52, 5.05, 73.30 }, - { 43, 0.31, 114.40 }, - { 37, 4.89, 41.10 }, - { 37, 5.76, 2.97 }, - { 26, 5.22, 213.30 } -}; - -const VSOP87Coefficient g_B2NeptuneCoefficients[] = -{ - { 9691, 5.5712, 38.1330 }, - { 79, 3.63, 76.27 }, - { 72, 0.45, 36.65 }, - { 59, 3.14, 0 }, - { 30, 1.61, 39.62 }, - { 6, 5.61, 74.78 } -}; - -const VSOP87Coefficient g_B3NeptuneCoefficients[] = -{ - { 273, 1.017, 38.133 }, - { 2, 0, 0 }, - { 2, 2.37, 36.65 }, - { 2, 5.33, 76.27 } -}; - -const VSOP87Coefficient g_B4NeptuneCoefficients[] = -{ - { 6, 2.67, 38.13 } -}; - -const VSOP87Coefficient g_R0NeptuneCoefficients[] = -{ - { 3007013206.0, 0, 0 }, - { 27062259, 1.32999459, 38.13303564 }, - { 1691764, 3.2518614, 36.6485629 }, - { 807831, 5.185928, 1.484473 }, - { 537761, 4.521139, 35.164090 }, - { 495726, 1.571057, 491.557929 }, - { 274572, 1.845523, 175.166060 }, - { 135134, 3.372206, 39.617508 }, - { 121802, 5.797544, 76.266071 }, - { 100895, 0.377027, 73.297126 }, - { 69792, 3.79617, 2.96895 }, - { 46688, 5.74938, 33.67962 }, - { 24594, 0.50802, 109.94569 }, - { 16939, 1.59422, 71.81265 }, - { 14230, 1.07786, 74.78160 }, - { 12012, 1.92062, 1021.24889 }, - { 8395, 0.6782, 146.5943 }, - { 7572, 1.0715, 388.4652 }, - { 5721, 2.5906, 4.4534 }, - { 4840, 1.9069, 41.1020 }, - { 4483, 2.9057, 529.6910 }, - { 4421, 1.7499, 108.4612 }, - { 4354, 0.6799, 32.1951 }, - { 4270, 3.4134, 453.4249 }, - { 3381, 0.8481, 183.2428 }, - { 2881, 1.9860, 137.0330 }, - { 2879, 3.6742, 350.3321 }, - { 2636, 3.0976, 213.2991 }, - { 2530, 5.7984, 490.0735 }, - { 2523, 0.4863, 493.0424 }, - { 2306, 2.8096, 70.3282 }, - { 2087, 0.6186, 33.9402 } -}; - -const VSOP87Coefficient g_R1NeptuneCoefficients[] = -{ - { 236339, 0.704980, 38.133036 }, - { 13220, 3.32015, 1.48447 }, - { 8622, 6.2163, 35.1641 }, - { 2702, 1.8814, 39.6175 }, - { 2155, 2.0943, 2.9689 }, - { 2153, 5.1687, 76.2661 }, - { 1603, 0, 0 }, - { 1464, 1.1842, 33.6796 }, - { 1136, 3.9189, 36.6486 }, - { 898, 5.241, 388.465 }, - { 790, 0.533, 168.053 }, - { 760, 0.021, 182.280 }, - { 607, 1.077, 1021.249 }, - { 572, 3.401, 484.444 }, - { 561, 2.887, 498.671 } -}; - -const VSOP87Coefficient g_R2NeptuneCoefficients[] = -{ - { 4247, 5.8991, 38.1330 }, - { 218, 0.346, 1.484 }, - { 163, 2.239, 168.053 }, - { 156, 4.594, 182.280 }, - { 127, 2.848, 35.164 } -}; - -const VSOP87Coefficient g_R3NeptuneCoefficients[] = -{ - { 166, 4.552, 38.133 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -///////////////////////////// Implementation ////////////////////////////////// - -double CAANeptune::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Neptune::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0NeptuneCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAPARABOLIC_H__ -#define __AAPARABOLIC_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Includes ////////////////////////////////////////////// - -#include "AA3DCoordinate.h" - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAParabolicObjectElements -{ -public: -//Constructors / Destructors - CAAParabolicObjectElements() : q(0), - i(0), - w(0), - omega(0), - JDEquinox(0), - T(0) - { - }; - -//Member variables - double q; - double i; - double w; - double omega; - double JDEquinox; - double T; -}; - -class AAPLUS_EXT_CLASS CAAParabolicObjectDetails -{ -public: -//Constructors / Destructors - CAAParabolicObjectDetails() : HeliocentricEclipticLongitude(0), - HeliocentricEclipticLatitude(0), - TrueGeocentricRA(0), - TrueGeocentricDeclination(0), - TrueGeocentricDistance(0), - TrueGeocentricLightTime(0), - AstrometricGeocenticRA(0), - AstrometricGeocentricDeclination(0), - AstrometricGeocentricDistance(0), - AstrometricGeocentricLightTime(0), - Elongation(0), - PhaseAngle(0) - { - }; - -//Member variables - CAA3DCoordinate HeliocentricRectangularEquatorial; - CAA3DCoordinate HeliocentricRectangularEcliptical; - double HeliocentricEclipticLongitude; - double HeliocentricEclipticLatitude; - double TrueGeocentricRA; - double TrueGeocentricDeclination; - double TrueGeocentricDistance; - double TrueGeocentricLightTime; - double AstrometricGeocenticRA; - double AstrometricGeocentricDeclination; - double AstrometricGeocentricDistance; - double AstrometricGeocentricLightTime; - double Elongation; - double PhaseAngle; -}; - -class AAPLUS_EXT_CLASS CAAParabolic -{ -public: -//Static methods - static double CalculateBarkers(double W); - static CAAParabolicObjectDetails Calculate(double JD, const CAAParabolicObjectElements& elements, bool bHighPrecision); -}; - - -#endif //#ifndef __AAPARABOLIC_H__ diff --git a/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.cpp b/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.cpp deleted file mode 100755 index 886ac26..0000000 --- a/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.cpp +++ /dev/null @@ -1,226 +0,0 @@ -/* -Module : AAPLANETPERIHELIONAPHELION.CPP -Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets -Created: PJN / 29-12-2003 -History: None - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -///////////////////////////////// Includes //////////////////////////////////// - -#include "stdafx.h" -#include "AAPlanetPerihelionAphelion.h" -#include "AACoordinateTransformation.h" -#include -using namespace std; - - -///////////////////////////////// Implementation ////////////////////////////// - -long CAAPlanetPerihelionAphelion::MercuryK(double Year) -{ - return static_cast(4.15201*(Year - 2000.12)); -} - -double CAAPlanetPerihelionAphelion::MercuryPerihelion(long k) -{ - return 2451590.257 + 87.96934963*k; -} - -double CAAPlanetPerihelionAphelion::MercuryAphelion(long k) -{ - double kdash = k + 0.5; - return 2451590.257 + 87.96934963*kdash; -} - -long CAAPlanetPerihelionAphelion::VenusK(double Year) -{ - return static_cast(1.62549*(Year - 2000.53)); -} - -double CAAPlanetPerihelionAphelion::VenusPerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2451738.233 + 224.7008188*kdash - 0.0000000327*ksquared; -} - -double CAAPlanetPerihelionAphelion::VenusAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2451738.233 + 224.7008188*kdash - 0.0000000327*ksquared; -} - -long CAAPlanetPerihelionAphelion::EarthK(double Year) -{ - return static_cast(0.99997*(Year - 2000.01)); -} - -double CAAPlanetPerihelionAphelion::EarthPerihelion(long k, bool bBarycentric) -{ - double kdash = k; - double ksquared = kdash * kdash; - double JD = 2451547.507 + 365.2596358*kdash + 0.0000000156*ksquared; - - if (!bBarycentric) - { - //Apply the corrections - double A1 = CAACoordinateTransformation::MapTo0To360Range(328.41 + 132.788585*k); - A1 = CAACoordinateTransformation::DegreesToRadians(A1); - double A2 = CAACoordinateTransformation::MapTo0To360Range(316.13 + 584.903153*k); - A2 = CAACoordinateTransformation::DegreesToRadians(A2); - double A3 = CAACoordinateTransformation::MapTo0To360Range(346.20 + 450.380738*k); - A3 = CAACoordinateTransformation::DegreesToRadians(A3); - double A4 = CAACoordinateTransformation::MapTo0To360Range(136.95 + 659.306737*k); - A4 = CAACoordinateTransformation::DegreesToRadians(A4); - double A5 = CAACoordinateTransformation::MapTo0To360Range(249.52 + 329.653368*k); - A5 = CAACoordinateTransformation::DegreesToRadians(A5); - - JD += 1.278*sin(A1); - JD -= 0.055*sin(A2); - JD -= 0.091*sin(A3); - JD -= 0.056*sin(A4); - JD -= 0.045*sin(A5); - } - - return JD; -} - -double CAAPlanetPerihelionAphelion::EarthAphelion(long k, bool bBarycentric) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - double JD = 2451547.507 + 365.2596358*kdash + 0.0000000156*ksquared; - - if (!bBarycentric) - { - //Apply the corrections - double A1 = CAACoordinateTransformation::MapTo0To360Range(328.41 + 132.788585*k); - A1 = CAACoordinateTransformation::DegreesToRadians(A1); - double A2 = CAACoordinateTransformation::MapTo0To360Range(316.13 + 584.903153*k); - A2 = CAACoordinateTransformation::DegreesToRadians(A2); - double A3 = CAACoordinateTransformation::MapTo0To360Range(346.20 + 450.380738*k); - A3 = CAACoordinateTransformation::DegreesToRadians(A3); - double A4 = CAACoordinateTransformation::MapTo0To360Range(136.95 + 659.306737*k); - A4 = CAACoordinateTransformation::DegreesToRadians(A4); - double A5 = CAACoordinateTransformation::MapTo0To360Range(249.52 + 329.653368*k); - A5 = CAACoordinateTransformation::DegreesToRadians(A5); - - JD -= 1.352*sin(A1); - JD += 0.061*sin(A2); - JD += 0.062*sin(A3); - JD += 0.029*sin(A4); - JD += 0.031*sin(A5); - } - - return JD; -} - -long CAAPlanetPerihelionAphelion::MarsK(double Year) -{ - return static_cast(0.53166*(Year - 2001.78)); -} - -double CAAPlanetPerihelionAphelion::MarsPerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2452195.026 + 686.9957857*kdash - 0.0000001187*ksquared; -} - -double CAAPlanetPerihelionAphelion::MarsAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2452195.026 + 686.9957857*kdash - 0.0000001187*ksquared; -} - -long CAAPlanetPerihelionAphelion::JupiterK(double Year) -{ - return static_cast(0.08430*(Year - 2011.20)); -} - -double CAAPlanetPerihelionAphelion::JupiterPerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2455636.936 + 4332.897065*kdash + 0.0001367*ksquared; -} - -double CAAPlanetPerihelionAphelion::JupiterAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2455636.936 + 4332.897065*kdash + 0.0001367*ksquared; -} - -long CAAPlanetPerihelionAphelion::SaturnK(double Year) -{ - return static_cast(0.03393*(Year - 2003.52)); -} - -double CAAPlanetPerihelionAphelion::SaturnPerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2452830.12 + 10764.21676*kdash + 0.000827*ksquared; -} - -double CAAPlanetPerihelionAphelion::SaturnAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2452830.12 + 10764.21676*kdash + 0.000827*ksquared; -} - -long CAAPlanetPerihelionAphelion::UranusK(double Year) -{ - return static_cast(0.01190*(Year - 2051.1)); -} - -double CAAPlanetPerihelionAphelion::UranusPerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2470213.5 + 30694.8767*kdash - 0.00541*ksquared; -} - -double CAAPlanetPerihelionAphelion::UranusAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2470213.5 + 30694.8767*kdash - 0.00541*ksquared; -} - -long CAAPlanetPerihelionAphelion::NeptuneK(double Year) -{ - return static_cast(0.00607*(Year - 2047.5)); -} - -double CAAPlanetPerihelionAphelion::NeptunePerihelion(long k) -{ - double kdash = k; - double ksquared = kdash * kdash; - return 2468895.1 + 60190.33*kdash + 0.03429*ksquared; -} - -double CAAPlanetPerihelionAphelion::NeptuneAphelion(long k) -{ - double kdash = k + 0.5; - double ksquared = kdash * kdash; - return 2468895.1 + 60190.33*kdash + 0.03429*ksquared; -} diff --git a/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.h b/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.h deleted file mode 100755 index b9012b3..0000000 --- a/Vendor/AA+/1.6.3/AAPlanetPerihelionAphelion.h +++ /dev/null @@ -1,75 +0,0 @@ -/* -Module : AAPLANETPERIHELIONAPHELION.H -Purpose: Implementation for the algorithms which obtain the dates of Perihelion and Aphelion of the planets -Created: PJN / 29-12-2003 - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -/////////////////////// Macros / Defines ////////////////////////////////////// - -#if _MSC_VER > 1000 -#pragma once -#endif //#if _MSC_VER > 1000 - -#ifndef __AAPLANETPERIHELIONAPHELION_H__ -#define __AAPLANETPERIHELIONAPHELION_H__ - -#ifndef AAPLUS_EXT_CLASS -#define AAPLUS_EXT_CLASS -#endif //#ifndef AAPLUS_EXT_CLASS - - -/////////////////////// Classes /////////////////////////////////////////////// - -class AAPLUS_EXT_CLASS CAAPlanetPerihelionAphelion -{ -public: -//Static methods - static long MercuryK(double Year); - static double MercuryPerihelion(long k); - static double MercuryAphelion(long k); - - static long VenusK(double Year); - static double VenusPerihelion(long k); - static double VenusAphelion(long k); - - static long EarthK(double Year); - static double EarthPerihelion(long k, bool bBarycentric = false); - static double EarthAphelion(long k, bool bBarycentric = false); - - static long MarsK(double Year); - static double MarsPerihelion(long k); - static double MarsAphelion(long k); - - static long JupiterK(double Year); - static double JupiterPerihelion(long k); - static double JupiterAphelion(long k); - - static long SaturnK(double Year); - static double SaturnPerihelion(long k); - static double SaturnAphelion(long k); - - static long UranusK(double Year); - static double UranusPerihelion(long k); - static double UranusAphelion(long k); - - static long NeptuneK(double Year); - static double NeptunePerihelion(long k); - static double NeptuneAphelion(long k); -}; - - -#endif //#ifndef __AAPLANETPERIHELIONAPHELION_H__ diff --git a/Vendor/AA+/1.6.3/AAPluto.cpp b/Vendor/AA+/1.6.3/AAPluto.cpp deleted file mode 100755 index 90bf34f..0000000 --- a/Vendor/AA+/1.6.3/AAPluto.cpp +++ /dev/null @@ -1,305 +0,0 @@ -/* -Module : AAPLUTO.CPP -Purpose: Implementation for the algorithms which obtain the heliocentric position of Pluto -Created: PJN / 29-12-2003 -History: PJN / 07-02-2009 1. Optimized the layout of the PlutoCoefficient1 structure by making all elements - integers instead of doubles. - PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -//////////////////////// Includes ///////////////////////////////////////////// - -#include "stdafx.h" -#include "AAPluto.h" -#include "AACoordinateTransformation.h" -#include -using namespace std; - - -//////////////////////// Macros / Defines ///////////////////////////////////// - -struct PlutoCoefficient1 -{ - int J; - int S; - int P; -}; - -struct PlutoCoefficient2 -{ - double A; - double B; -}; - -const PlutoCoefficient1 g_PlutoArgumentCoefficients[] = -{ - { 0, 0, 1 }, - { 0, 0, 2 }, - { 0, 0, 3 }, - { 0, 0, 4 }, - { 0, 0, 5 }, - { 0, 0, 6 }, - { 0, 1, -1 }, - { 0, 1, 0 }, - { 0, 1, 1 }, - { 0, 1, 2 }, - { 0, 1, 3 }, - { 0, 2, -2 }, - { 0, 2, -1 }, - { 0, 2, 0 }, - { 1, -1, 0 }, - { 1, -1, 1 }, - { 1, 0, -3 }, - { 1, 0, -2 }, - { 1, 0, -1 }, - { 1, 0, 0 }, - { 1, 0, 1 }, - { 1, 0, 2 }, - { 1, 0, 3 }, - { 1, 0, 4 }, - { 1, 1, -3 }, - { 1, 1, -2 }, - { 1, 1, -1 }, - { 1, 1, 0 }, - { 1, 1, 1 }, - { 1, 1, 3 }, - { 2, 0, -6 }, - { 2, 0, -5 }, - { 2, 0, -4 }, - { 2, 0, -3 }, - { 2, 0, -2 }, - { 2, 0, -1 }, - { 2, 0, 0 }, - { 2, 0, 1 }, - { 2, 0, 2 }, - { 2, 0, 3 }, - { 3, 0, -2 }, - { 3, 0, -1 }, - { 3, 0, 0 } -}; - -const PlutoCoefficient2 g_PlutoLongitudeCoefficients[] = -{ - { -19799805, 19850055 }, - { 897144, -4954829 }, - { 611149, 1211027 }, - { -341243, -189585 }, - { 129287, -34992 }, - { -38164, 30893 }, - { 20442, -9987 }, - { -4063, -5071 }, - { -6016, -3336 }, - { -3956, 3039 }, - { -667, 3572 }, - { 1276, 501}, - { 1152, -917 }, - { 630, -1277 }, - { 2571, -459 }, - { 899, -1449 }, - { -1016, 1043 }, - { -2343, -1012 }, - { 7042, 788 }, - { 1199, -338 }, - { 418, -67 }, - { 120, -274 }, - { -60, -159 }, - { -82, -29 }, - { -36, -29 }, - { -40, 7 }, - { -14, 22 }, - { 4, 13 }, - { 5, 2 }, - { -1, 0 }, - { 2, 0 }, - { -4, 5 }, - { 4, -7 }, - { 14, 24 }, - { -49, -34 }, - { 163, -48 }, - { 9, -24 }, - { -4, 1 }, - { -3, 1 }, - { 1, 3 }, - { -3, -1 }, - { 5, -3 }, - { 0, 0 }, -}; - -const PlutoCoefficient2 g_PlutoLatitudeCoefficients[] = -{ - { -5452852, -14974862 }, - { 3527812, 1672790 }, - { -1050748, 327647 }, - { 178690, -292153 }, - { 18650, 100340 }, - { -30697, -25823 }, - { 4878, 11248 }, - { 226, -64 }, - { 2030, -836 }, - { 69, -604 }, - { -247, -567 }, - { -57, 1 }, - { -122, 175 }, - { -49, -164 }, - { -197, 199 }, - { -25, 217 }, - { 589, -248 }, - { -269, 711 }, - { 185, 193 }, - { 315, 807 }, - { -130, -43 }, - { 5, 3 }, - { 2, 17 }, - { 2, 5 }, - { 2, 3 }, - { 3, 1 }, - { 2, -1 }, - { 1, -1 }, - { 0, -1 }, - { 0, 0 }, - { 0, -2 }, - { 2, 2 }, - { -7, 0 }, - { 10, -8 }, - { -3, 20 }, - { 6, 5 }, - { 14, 17 }, - { -2, 0 }, - { 0, 0 }, - { 0, 0 }, - { 0, 1 }, - { 0, 0 }, - { 1, 0 }, -}; - -const PlutoCoefficient2 g_PlutoRadiusCoefficients[] = -{ - { 66865439, 68951812 }, - { -11827535, -332538 }, - { 1593179, -1438890 }, - { -18444, 483220 }, - { -65977, -85431 }, - { 31174, -6032 }, - { -5794, 22161 }, - { 4601, 4032 }, - { -1729, 234 }, - { -415, 702 }, - { 239, 723 }, - { 67, -67 }, - { 1034, -451 }, - { -129, 504 }, - { 480, -231 }, - { 2, -441 }, - { -3359, 265 }, - { 7856, -7832 }, - { 36, 45763 }, - { 8663, 8547 }, - { -809, -769 }, - { 263, -144 }, - { -126, 32 }, - { -35, -16 }, - { -19, -4 }, - { -15, 8 }, - { -4, 12 }, - { 5, 6 }, - { 3, 1 }, - { 6, -2 }, - { 2, 2 }, - { -2, -2 }, - { 14, 13 }, - { -63, 13 }, - { 136, -236 }, - { 273, 1065 }, - { 251, 149 }, - { -25, -9 }, - { 9, -2 }, - { -8, 7 }, - { 2, -10 }, - { 19, 35 }, - { 10, 3 }, -}; - - -/////////////////////////////////// Implementation //////////////////////////// - -double CAAPluto::EclipticLongitude(double JD) -{ - double T = (JD - 2451545) / 36525; - double J = 34.35 + 3034.9057*T; - double S = 50.08 + 1222.1138*T; - double P = 238.96 + 144.9600*T; - - //Calculate Longitude - double L = 0; - int nPlutoCoefficients = sizeof(g_PlutoArgumentCoefficients) / sizeof(PlutoCoefficient1); - for (int i=0; i -using namespace std; - - -///////////////////////////////// Implementation ////////////////////////////// - -CAA2DCoordinate CAAPrecession::AdjustPositionUsingUniformProperMotion(double t, double Alpha, double Delta, double PMAlpha, double PMDelta) -{ - CAA2DCoordinate value; - value.X = Alpha + (PMAlpha * t / 3600); - value.Y = Delta + (PMDelta * t / 3600); - - return value; -} - -CAA2DCoordinate CAAPrecession::AdjustPositionUsingMotionInSpace(double r, double DeltaR, double t, double Alpha, double Delta, double PMAlpha, double PMDelta) -{ - //Convert DeltaR from km/s to Parsecs / Year - DeltaR /= 977792; - - //Convert from seconds of time to Radians / Year - PMAlpha /= 13751; - - //Convert from seconds of arc to Radians / Year - PMDelta /= 206265; - - //Now convert to radians - Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); - Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - - double x = r * cos(Delta) * cos(Alpha); - double y = r * cos(Delta) * sin(Alpha); - double z = r * sin(Delta); - - double DeltaX = x/r*DeltaR - z*PMDelta*cos(Alpha) - y*PMAlpha; - double DeltaY = y/r*DeltaR - z*PMDelta*sin(Alpha) + x*PMAlpha; - double DeltaZ = z/r*DeltaR + r*PMDelta*cos(Delta); - - x += t*DeltaX; - y += t*DeltaY; - z += t*DeltaZ; - - CAA2DCoordinate value; - value.X = CAACoordinateTransformation::RadiansToHours(atan2(y, x)); - if (value.X < 0) - value.X += 24; - - value.Y = CAACoordinateTransformation::RadiansToDegrees(atan2(z, sqrt(x*x + y*y))); - - return value; -} - -CAA2DCoordinate CAAPrecession::PrecessEquatorial(double Alpha, double Delta, double JD0, double JD) -{ - double T = (JD0 - 2451545.0) / 36525; - double Tsquared = T*T; - double t = (JD - JD0) / 36525; - double tsquared = t*t; - double tcubed = tsquared * t; - - //Now convert to radians - Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); - Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - - double sigma = (2306.2181 + 1.39656*T - 0.000139*Tsquared)*t + (0.30188 - 0.000344*T)*tsquared + 0.017988*tcubed; - sigma = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, sigma)); - - double zeta = (2306.2181 + 1.39656*T - 0.000139*Tsquared)*t + (1.09468 + 0.000066*T)*tsquared + 0.018203*tcubed; - zeta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, zeta)); - - double phi = (2004.3109 - 0.8533*T - 0.000217*Tsquared)*t - (0.42665 + 0.000217*T)*tsquared - 0.041833*tcubed; - phi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, phi)); - - double A = cos(Delta) * sin(Alpha + sigma); - double B = cos(phi)*cos(Delta)*cos(Alpha + sigma) - sin(phi)*sin(Delta); - double C = sin(phi)*cos(Delta)*cos(Alpha + sigma) + cos(phi)*sin(Delta); - - CAA2DCoordinate value; - value.X = CAACoordinateTransformation::RadiansToHours(atan2(A, B) + zeta); - if (value.X < 0) - value.X += 24; - value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); - - return value; -} - -CAA2DCoordinate CAAPrecession::PrecessEquatorialFK4(double Alpha, double Delta, double JD0, double JD) -{ - double T = (JD0 - 2415020.3135) / 36524.2199; - double t = (JD - JD0) / 36524.2199; - double tsquared = t*t; - double tcubed = tsquared * t; - - //Now convert to radians - Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); - Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - - double sigma = (2304.250 + 1.396*T)*t + 0.302*tsquared + 0.018*tcubed; - sigma = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, sigma)); - - double zeta = 0.791*tsquared + 0.001*tcubed; - zeta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, zeta)); - zeta += sigma; - - double phi = (2004.682 - 0.853*T)*t - 0.426*tsquared - 0.042*tcubed; - phi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, phi)); - - double A = cos(Delta) * sin(Alpha + sigma); - double B = cos(phi)*cos(Delta)*cos(Alpha + sigma) - sin(phi)*sin(Delta); - double C = sin(phi)*cos(Delta)*cos(Alpha + sigma) + cos(phi)*sin(Delta); - - CAA2DCoordinate value; - value.X = CAACoordinateTransformation::RadiansToHours(atan2(A, B) + zeta); - if (value.X < 0) - value.X += 24; - value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); - - return value; -} - -CAA2DCoordinate CAAPrecession::PrecessEcliptic(double Lambda, double Beta, double JD0, double JD) -{ - double T = (JD0 - 2451545.0) / 36525; - double Tsquared = T*T; - double t = (JD - JD0) / 36525; - double tsquared = t*t; - double tcubed = tsquared * t; - - //Now convert to radians - Lambda = CAACoordinateTransformation::DegreesToRadians(Lambda); - Beta = CAACoordinateTransformation::DegreesToRadians(Beta); - - double eta = (47.0029 - 0.06603*T + 0.000598*Tsquared)*t + (-0.03302 + 0.000598*T)*tsquared + 0.00006*tcubed; - eta = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, eta)); - - double pi = 174.876384*3600 + 3289.4789*T + 0.60622*Tsquared - (869.8089 + 0.50491*T)*t + 0.03536*tsquared; - pi = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, pi)); - - double p = (5029.0966 + 2.22226*T - 0.000042*Tsquared)*t + (1.11113 - 0.000042*T)*tsquared - 0.000006*tcubed; - p = CAACoordinateTransformation::DegreesToRadians(CAACoordinateTransformation::DMSToDegrees(0, 0, p)); - - double A = cos(eta)*cos(Beta)*sin(pi - Lambda) - sin(eta)*sin(Beta); - double B = cos(Beta)*cos(pi - Lambda); - double C = cos(eta)*sin(Beta) + sin(eta)*cos(Beta)*sin(pi - Lambda); - - CAA2DCoordinate value; - value.X = CAACoordinateTransformation::RadiansToDegrees(p + pi - atan2(A, B)); - if (value.X < 0) - value.X += 360; - value.Y = CAACoordinateTransformation::RadiansToDegrees(asin(C)); - - return value; -} - -CAA2DCoordinate CAAPrecession::EquatorialPMToEcliptic(double Alpha, double Delta, double Beta, double PMAlpha, double PMDelta, double Epsilon) -{ - //Convert to radians - Epsilon = CAACoordinateTransformation::DegreesToRadians(Epsilon); - Alpha = CAACoordinateTransformation::HoursToRadians(Alpha); - Delta = CAACoordinateTransformation::DegreesToRadians(Delta); - Beta = CAACoordinateTransformation::DegreesToRadians(Beta); - - double cosb = cos(Beta); - double sinEpsilon = sin(Epsilon); - - CAA2DCoordinate value; - value.X = (PMDelta*sinEpsilon*cos(Alpha) + PMAlpha*cos(Delta)*(cos(Epsilon)*cos(Delta) + sinEpsilon*sin(Delta)*sin(Alpha)))/(cosb*cosb); - value.Y = (PMDelta*(cos(Epsilon)*cos(Delta) + sinEpsilon*sin(Delta)*sin(Alpha)) - PMAlpha*sinEpsilon*cos(Alpha)*cos(Delta))/cosb; - - return value; -} diff --git a/Vendor/AA+/1.6.3/AASaturn.cpp b/Vendor/AA+/1.6.3/AASaturn.cpp deleted file mode 100755 index 15c6ca2..0000000 --- a/Vendor/AA+/1.6.3/AASaturn.cpp +++ /dev/null @@ -1,940 +0,0 @@ -/* -Module : AASATURN.CPP -Purpose: Implementation for the algorithms which obtain the heliocentric position of Saturn -Created: PJN / 29-12-2003 -History: PJN / 31-05-2004 1) In CAASaturn::EclipticLongitude the g_L5SaturnCoefficients[] were - not included. Thanks to Brian Orme for reporting this problem. - 2) In CAASaturn::EclipticLatitude the g_B5SaturnCoefficients[] were - not included. Thanks to Brian Orme for reporting this problem. - 3) In CAASaturn::RadiusVector the g_R5SaturnCoefficients[] were not - included. Thanks to Brian Orme for reporting this problem. - PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 04-08-2013 1. Fixed a transcription error in the twenty ninth coefficient used to calculate - the B2 term for the ecliptic latitude of Saturn. Thanks to Isaac Clark for - reporting this issue. Spot tests indicate that this change only affected the - ecliptic latitude in the twelfth decimal place. - 2. Updated copyright details - PJN / 16-09-2015 1. CAASaturn::EclipticLongitude, EclipticLatitude & RadiusVector now include a - "bool bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -///////////////////////////// Includes //////////////////////////////////////// - -#include "stdafx.h" -#include "AASaturn.h" -#include "AACoordinateTransformation.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87D_SAT.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -//////////////////////////// Macros / Defines ///////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0SaturnCoefficients[] = -{ - { 87401354, 0, 0 }, - { 11107660, 3.96205090, 213.29909544 }, - { 1414151, 4.5858152, 7.1135470 }, - { 398379, 0.521120, 206.185548 }, - { 350769, 3.303299, 426.598191 }, - { 206816, 0.246584, 103.092774 }, - { 79271, 3.84007, 220.41264 }, - { 23990, 4.66977, 110.20632 }, - { 16574, 0.43719, 419.48464 }, - { 15820, 0.93809, 632.78374 }, - { 15054, 2.71670, 639.89729 }, - { 14907, 5.76903, 316.39187 }, - { 14610, 1.56519, 3.93215 }, - { 13160, 4.44891, 14.22709 }, - { 13005, 5.98119, 11.04570 }, - { 10725, 3.12940, 202.25340 }, - { 6126, 1.7633, 277.0350 }, - { 5863, 0.2366, 529.6910 }, - { 5228, 4.2078, 3.1814 }, - { 5020, 3.1779, 433.7117 }, - { 4593, 0.6198, 199.0720 }, - { 4006, 2.2448, 63.7359 }, - { 3874, 3.2228, 138.5175 }, - { 3269, 0.7749, 949.1756 }, - { 2954, 0.9828, 95.9792 }, - { 2461, 2.0316, 735.8765 }, - { 1758, 3.2658, 522.5774 }, - { 1640, 5.5050, 846.0828 }, - { 1581, 4.3727, 309.2783 }, - { 1391, 4.0233, 323.5054 }, - { 1124, 2.8373, 415.5525 }, - { 1087, 4.1834, 2.4477 }, - { 1017, 3.7170, 227.5262 }, - { 957, 0.507, 1265.567 }, - { 853, 3.421, 175.166 }, - { 849, 3.191, 209.367 }, - { 789, 5.007, 0.963 }, - { 749, 2.144, 853.196 }, - { 744, 5.253, 224.345 }, - { 687, 1.747, 1052.268 }, - { 654, 1.599, 0.048 }, - { 634, 2.299, 412.371 }, - { 625, 0.970, 210.118 }, - { 580, 3.093, 74.782 }, - { 546, 2.127, 350.332 }, - { 543, 1.518, 9.561 }, - { 530, 4.449, 117.320 }, - { 478, 2.965, 137.033 }, - { 474, 5.475, 742.990 }, - { 452, 1.044, 490.334 }, - { 449, 1.290, 127.472 }, - { 372, 2.278, 217.231 }, - { 355, 3.013, 838.969 }, - { 347, 1.539, 340.771 }, - { 343, 0.246, 0.521 }, - { 330, 0.247, 1581.959 }, - { 322, 0.961, 203.738 }, - { 322, 2.572, 647.011 }, - { 309, 3.495, 216.480 }, - { 287, 2.370, 351.817 }, - { 278, 0.400, 211.815 }, - { 249, 1.470, 1368.660 }, - { 227, 4.910, 12.530 }, - { 220, 4.204, 200.769 }, - { 209, 1.345, 625.670 }, - { 208, 0.483, 1162.475 }, - { 208, 1.283, 39.357 }, - { 204, 6.011, 265.989 }, - { 185, 3.503, 149.563 }, - { 184, 0.973, 4.193 }, - { 182, 5.491, 2.921 }, - { 174, 1.863, 0.751 }, - { 165, 0.440, 5.417 }, - { 149, 5.736, 52.690 }, - { 148, 1.535, 5.629 }, - { 146, 6.231, 195.140 }, - { 140, 4.295, 21.341 }, - { 131, 4.068, 10.295 }, - { 125, 6.277, 1898.351 }, - { 122, 1.976, 4.666 }, - { 118, 5.341, 554.070 }, - { 117, 2.679, 1155.361 }, - { 114, 5.594, 1059.382 }, - { 112, 1.105, 191.208 }, - { 110, 0.166, 1.484 }, - { 109, 3.438, 536.805 }, - { 107, 4.012, 956.289 }, - { 104, 2.192, 88.866 }, - { 103, 1.197, 1685.052 }, - { 101, 4.965, 269.921 } -}; - -const VSOP87Coefficient g_L1SaturnCoefficients[] = -{ - { 21354295596.0, 0, 0 }, - { 1296855, 1.8282054, 213.2990954 }, - { 564348, 2.885001, 7.113547 }, - { 107679, 2.277699, 206.185548 }, - { 98323, 1.08070, 426.59819 }, - { 40255, 2.04128, 220.41264 }, - { 19942, 1.27955, 103.09277 }, - { 10512, 2.74880, 14.22709 }, - { 6939, 0.4049, 639.8973 }, - { 4803, 2.4419, 419.4846 }, - { 4056, 2.9217, 110.2063 }, - { 3769, 3.6497, 3.9322 }, - { 3385, 2.4169, 3.1814 }, - { 3302, 1.2626, 433.7117 }, - { 3071, 2.3274, 199.0720 }, - { 1953, 3.5639, 11.0457 }, - { 1249, 2.6280, 95.9792 }, - { 922, 1.961, 227.526 }, - { 706, 4.417, 529.691 }, - { 650, 6.174, 202.253 }, - { 628, 6.111, 309.278 }, - { 487, 6.040, 853.196 }, - { 479, 4.988, 522.577 }, - { 468, 4.617, 63.736 }, - { 417, 2.117, 323.505 }, - { 408, 1.299, 209.367 }, - { 352, 2.317, 632.784 }, - { 344, 3.959, 412.371 }, - { 340, 3.634, 316.392 }, - { 336, 3.772, 735.877 }, - { 332, 2.861, 210.118 }, - { 289, 2.733, 117.320 }, - { 281, 5.744, 2.448 }, - { 266, 0.543, 647.011 }, - { 230, 1.644, 216.480 }, - { 192, 2.965, 224.345 }, - { 173, 4.077, 846.083 }, - { 167, 2.597, 21.341 }, - { 136, 2.286, 10.295 }, - { 131, 3.441, 742.990 }, - { 128, 4.095, 217.231 }, - { 109, 6.161, 415.552 }, - { 98, 4.73, 838.97 }, - { 94, 3.48, 1052.27 }, - { 92, 3.95, 88.87 }, - { 87, 1.22, 440.83 }, - { 83, 3.11, 625.67 }, - { 78, 6.24, 302.16 }, - { 67, 0.29, 4.67 }, - { 66, 5.65, 9.56 }, - { 62, 4.29, 127.47 }, - { 62, 1.83, 195.14 }, - { 58, 2.48, 191.96 }, - { 57, 5.02, 137.03 }, - { 55, 0.28, 74.78 }, - { 54, 5.13, 490.33 }, - { 51, 1.46, 536.80 }, - { 47, 1.18, 149.56 }, - { 47, 5.15, 515.46 }, - { 46, 2.23, 956.29 }, - { 44, 2.71, 5.42 }, - { 40, 0.41, 269.92 }, - { 40, 3.89, 728.76 }, - { 38, 0.65, 422.67 }, - { 38, 2.53, 12.53 }, - { 37, 3.78, 2.92 }, - { 35, 6.08, 5.63 }, - { 34, 3.21, 1368.66 }, - { 33, 4.64, 277.03 }, - { 33, 5.43, 1066.50 }, - { 33, 0.30, 351.82 }, - { 32, 4.39, 1155.36 }, - { 31, 2.43, 52.69 }, - { 30, 2.84, 203.00 }, - { 30, 6.19, 284.15 }, - { 30, 3.39, 1059.38 }, - { 29, 2.03, 330.62 }, - { 28, 2.74, 265.99 }, - { 26, 4.51, 340.77 } -}; - -const VSOP87Coefficient g_L2SaturnCoefficients[] = -{ - { 116441, 1.179879, 7.113547 }, - { 91921, 0.07425, 213.29910 }, - { 90592, 0, 0 }, - { 15277, 4.06492, 206.18555 }, - { 10631, 0.25778, 220.41264 }, - { 10605, 5.40964, 426.59819 }, - { 4265, 1.0460, 14.2271 }, - { 1216, 2.9186, 103.0928 }, - { 1165, 4.6094, 639.8973 }, - { 1082, 5.6913, 433.7117 }, - { 1045, 4.0421, 199.0720 }, - { 1020, 0.6337, 3.1814 }, - { 634, 4.388, 419.485 }, - { 549, 5.573, 3.932 }, - { 457, 1.268, 110.206 }, - { 425, 0.209, 227.526 }, - { 274, 4.288, 95.979 }, - { 162, 1.381, 11.046 }, - { 129, 1.566, 309.278 }, - { 117, 3.881, 853.196 }, - { 105, 4.900, 647.011 }, - { 101, 0.893, 21.341 }, - { 96, 2.91, 316.39 }, - { 95, 5.63, 412.37 }, - { 85, 5.73, 209.37 }, - { 83, 6.05, 216.48 }, - { 82, 1.02, 117.32 }, - { 75, 4.76, 210.12 }, - { 67, 0.46, 522.58 }, - { 66, 0.48, 10.29 }, - { 64, 0.35, 323.51 }, - { 61, 4.88, 632.78 }, - { 53, 2.75, 529.69 }, - { 46, 5.69, 440.83 }, - { 45, 1.67, 202.25 }, - { 42, 5.71, 88.87 }, - { 32, 0.07, 63.74 }, - { 32, 1.67, 302.16 }, - { 31, 4.16, 191.96 }, - { 27, 0.83, 224.34 }, - { 25, 5.66, 735.88 }, - { 20, 5.94, 217.23 }, - { 18, 4.90, 625.67 }, - { 17, 1.63, 742.99 }, - { 16, 0.58, 515.46 }, - { 14, 0.21, 838.97 }, - { 14, 3.76, 195.14 }, - { 12, 4.72, 203.00 }, - { 12, 0.13, 234.64 }, - { 12, 3.12, 846.08 }, - { 11, 5.92, 536.80 }, - { 11, 5.60, 728.76 }, - { 11, 3.20, 1066.50 }, - { 10, 4.99, 422.67 }, - { 10, 0.26, 330.62 }, - { 10, 4.15, 860.31 }, - { 9, 0.46, 956.29 }, - { 8, 2.14, 269.92 }, - { 8, 5.25, 429.78 }, - { 8, 4.03, 9.56 }, - { 7, 5.40, 1052.27 }, - { 6, 4.46, 284.15 }, - { 6, 5.93, 405.26 } -}; - -const VSOP87Coefficient g_L3SaturnCoefficients[] = -{ - { 16039, 5.73945, 7.11355 }, - { 4250, 4.5854, 213.2991 }, - { 1907, 4.7608, 220.4126 }, - { 1466, 5.9133, 206.1855 }, - { 1162, 5.6197, 14.2271 }, - { 1067, 3.6082, 426.5982 }, - { 239, 3.861, 433.712 }, - { 237, 5.768, 199.072 }, - { 166, 5.116, 3.181 }, - { 151, 2.736, 639.897 }, - { 131, 4.743, 227.526 }, - { 63, 0.23, 419.48 }, - { 62, 4.74, 103.09 }, - { 40, 5.47, 21.34 }, - { 40, 5.96, 95.98 }, - { 39, 5.83, 110.21 }, - { 28, 3.01, 647.01 }, - { 25, 0.99, 3.93 }, - { 19, 1.92, 853.20 }, - { 18, 4.97, 10.29 }, - { 18, 1.03, 412.37 }, - { 18, 4.20, 216.48 }, - { 18, 3.32, 309.28 }, - { 16, 3.90, 440.83 }, - { 16, 5.62, 117.32 }, - { 13, 1.18, 88.87 }, - { 11, 5.58, 11.05 }, - { 11, 5.93, 191.96 }, - { 10, 3.95, 209.37 }, - { 9, 3.39, 302.16 }, - { 8, 4.88, 323.51 }, - { 7, 0.38, 632.78 }, - { 6, 2.25, 522.58 }, - { 6, 1.06, 210.12 }, - { 5, 4.64, 234.64 }, - { 4, 3.14, 0 }, - { 4, 2.31, 515.46 }, - { 3, 2.20, 860.31 }, - { 3, 0.59, 529.69 }, - { 3, 4.93, 224.34 }, - { 3, 0.42, 625.67 }, - { 2, 4.77, 330.62 }, - { 2, 3.35, 429.78 }, - { 2, 3.20, 202.25 }, - { 2, 1.19, 1066.50 }, - { 2, 1.35, 405.26 }, - { 2, 4.16, 223.59 }, - { 2, 3.07, 654.12 } -}; - -const VSOP87Coefficient g_L4SaturnCoefficients[] = -{ - { 1662, 3.9983, 7.1135 }, - { 257, 2.984, 220.413 }, - { 236, 3.902, 14.227 }, - { 149, 2.741, 213.299 }, - { 114, 3.142, 0 }, - { 110, 1.515, 206.186 }, - { 68, 1.72, 426.60 }, - { 40, 2.05, 433.71 }, - { 38, 1.24, 199.07 }, - { 31, 3.01, 227.53 }, - { 15, 0.83, 639.90 }, - { 9, 3.71, 21.34 }, - { 6, 2.42, 419.48 }, - { 6, 1.16, 647.01 }, - { 4, 1.45, 95.98 }, - { 4, 2.12, 440.83 }, - { 3, 4.09, 110.21 }, - { 3, 2.77, 412.37 }, - { 3, 3.01, 88.87 }, - { 3, 0.00, 853.20 }, - { 3, 0.39, 103.09 }, - { 2, 3.78, 117.32 }, - { 2, 2.83, 234.64 }, - { 2, 5.08, 309.28 }, - { 2, 2.24, 216.48 }, - { 2, 5.19, 302.16 }, - { 1, 1.55, 191.96 } -}; - -const VSOP87Coefficient g_L5SaturnCoefficients[] = -{ - { 124, 2.259, 7.114 }, - { 34, 2.16, 14.23 }, - { 28, 1.20, 220.41 }, - { 6, 1.22, 227.53 }, - { 5, 0.24, 433.71 }, - { 4, 6.23, 426.60 }, - { 3, 2.97, 199.07 }, - { 3, 4.29, 206.19 }, - { 2, 6.25, 213.30 }, - { 1, 5.28, 639.90 }, - { 1, 0.24, 440.83 }, - { 1, 3.14, 0 } -}; - -const VSOP87Coefficient g_B0SaturnCoefficients[] = -{ - { 4330678, 3.6028443, 213.2990954 }, - { 240348, 2.852385, 426.598191 }, - { 84746, 0, 0 }, - { 34116, 0.57297, 206.18555 }, - { 30863, 3.48442, 220.41264 }, - { 14734, 2.11847, 639.89729 }, - { 9917, 5.7900, 419.4846 }, - { 6994, 4.7360, 7.1135 }, - { 4808, 5.4331, 316.3919 }, - { 4788, 4.9651, 110.2063 }, - { 3432, 2.7326, 433.7117 }, - { 1506, 6.0130, 103.0928 }, - { 1060, 5.6310, 529.6910 }, - { 969, 5.204, 632.784 }, - { 942, 1.396, 853.196 }, - { 708, 3.803, 323.505 }, - { 552, 5.131, 202.253 }, - { 400, 3.359, 227.526 }, - { 319, 3.626, 209.367 }, - { 316, 1.997, 647.011 }, - { 314, 0.465, 217.231 }, - { 284, 4.886, 224.345 }, - { 236, 2.139, 11.046 }, - { 215, 5.950, 846.083 }, - { 209, 2.120, 415.552 }, - { 207, 0.730, 199.072 }, - { 179, 2.954, 63.736 }, - { 141, 0.644, 490.334 }, - { 139, 4.595, 14.227 }, - { 139, 1.998, 735.877 }, - { 135, 5.245, 742.990 }, - { 122, 3.115, 522.577 }, - { 116, 3.109, 216.480 }, - { 114, 0.963, 210.118 } -}; - -const VSOP87Coefficient g_B1SaturnCoefficients[] = -{ - { 397555, 5.332900, 213.299095 }, - { 49479, 3.14159, 0 }, - { 18572, 6.09919, 426.59819 }, - { 14801, 2.30586, 206.18555 }, - { 9644, 1.6967, 220.4126 }, - { 3757, 1.2543, 419.4846 }, - { 2717, 5.9117, 639.8973 }, - { 1455, 0.8516, 433.7117 }, - { 1291, 2.9177, 7.1135 }, - { 853, 0.436, 316.392 }, - { 298, 0.919, 632.784 }, - { 292, 5.316, 853.196 }, - { 284, 1.619, 227.526 }, - { 275, 3.889, 103.093 }, - { 172, 0.052, 647.011 }, - { 166, 2.444, 199.072 }, - { 158, 5.209, 110.206 }, - { 128, 1.207, 529.691 }, - { 110, 2.457, 217.231 }, - { 82, 2.76, 210.12 }, - { 81, 2.86, 14.23 }, - { 69, 1.66, 202.25 }, - { 65, 1.26, 216.48 }, - { 61, 1.25, 209.37 }, - { 59, 1.82, 323.51 }, - { 46, 0.82, 440.83 }, - { 36, 1.82, 224.34 }, - { 34, 2.84, 117.32 }, - { 33, 1.31, 412.37 }, - { 32, 1.19, 846.08 }, - { 27, 4.65, 1066.50 }, - { 27, 4.44, 11.05 } -}; - -const VSOP87Coefficient g_B2SaturnCoefficients[] = -{ - { 20630, 0.50482, 213.29910 }, - { 3720, 3.9983, 206.1855 }, - { 1627, 6.1819, 220.4126 }, - { 1346, 0, 0 }, - { 706, 3.039, 419.485 }, - { 365, 5.099, 426.598 }, - { 330, 5.279, 433.712 }, - { 219, 3.828, 639.897 }, - { 139, 1.043, 7.114 }, - { 104, 6.157, 227.526 }, - { 93, 1.98, 316.39 }, - { 71, 4.15, 199.07 }, - { 52, 2.88, 632.78 }, - { 49, 4.43, 647.01 }, - { 41, 3.16, 853.20 }, - { 29, 4.53, 210.12 }, - { 24, 1.12, 14.23 }, - { 21, 4.35, 217.23 }, - { 20, 5.31, 440.83 }, - { 18, 0.85, 110.21 }, - { 17, 5.68, 216.48 }, - { 16, 4.26, 103.09 }, - { 14, 3.00, 412.37 }, - { 12, 2.53, 529.69 }, - { 8, 3.32, 202.25 }, - { 7, 5.56, 209.37 }, - { 7, 0.29, 323.51 }, - { 6, 1.16, 117.32 }, - { 6, 3.61, 860.31 } -}; - -const VSOP87Coefficient g_B3SaturnCoefficients[] = -{ - { 666, 1.990, 213.299 }, - { 632, 5.698, 206.186 }, - { 398, 0, 0 }, - { 188, 4.338, 220.413 }, - { 92, 4.84, 419.48 }, - { 52, 3.42, 433.71 }, - { 42, 2.38, 426.60 }, - { 26, 4.40, 227.53 }, - { 21, 5.85, 199.07 }, - { 18, 1.99, 639.90 }, - { 11, 5.37, 7.11 }, - { 10, 2.55, 647.01 }, - { 7, 3.46, 316.39 }, - { 6, 4.80, 632.78 }, - { 6, 0.02, 210.12 }, - { 6, 3.52, 440.83 }, - { 5, 5.64, 14.23 }, - { 5, 1.22, 853.20 }, - { 4, 4.71, 412.37 }, - { 3, 0.63, 103.09 }, - { 2, 3.72, 216.48 } -}; - -const VSOP87Coefficient g_B4SaturnCoefficients[] = -{ - { 80, 1.12, 206.19 }, - { 32, 3.12, 213.30 }, - { 17, 2.48, 220.41 }, - { 12, 3.14, 0 }, - { 9, 0.38, 419.48 }, - { 6, 1.56, 433.71 }, - { 5, 2.63, 227.53 }, - { 5, 1.28, 199.07 }, - { 1, 1.43, 426.60 }, - { 1, 0.67, 647.01 }, - { 1, 1.72, 440.83 }, - { 1, 6.18, 639.90 } -}; - -const VSOP87Coefficient g_B5SaturnCoefficients[] = -{ - { 8, 2.82, 206.19 }, - { 1, 0.51, 220.41 } -}; - -const VSOP87Coefficient g_R0SaturnCoefficients[] = -{ - { 955758136, 0, 0 }, - { 52921382, 2.39226220, 213.29909544 }, - { 1873680, 5.2354961, 206.1855484 }, - { 1464664, 1.6476305, 426.5981909 }, - { 821891, 5.935200, 316.391870 }, - { 547507, 5.015326, 103.092774 }, - { 371684, 2.271148, 220.412642 }, - { 361778, 3.139043, 7.113547 }, - { 140618, 5.704067, 632.783739 }, - { 108975, 3.293136, 110.206321 }, - { 69007, 5.94100, 419.48464 }, - { 61053, 0.94038, 639.89729 }, - { 48913, 1.55733, 202.25340 }, - { 34144, 0.19519, 277.03499 }, - { 32402, 5.47085, 949.17561 }, - { 20937, 0.46349, 735.87651 }, - { 20839, 1.52103, 433.71174 }, - { 20747, 5.33256, 199.07200 }, - { 15298, 3.05944, 529.69097 }, - { 14296, 2.60434, 323.50542 }, - { 12884, 1.64892, 138.51750 }, - { 11993, 5.98051, 846.08283 }, - { 11380, 1.73106, 522.57742 }, - { 9796, 5.2048, 1265.5675 }, - { 7753, 5.8519, 95.9792 }, - { 6771, 3.0043, 14.2271 }, - { 6466, 0.1773, 1052.2684 }, - { 5850, 1.4552, 415.5525 }, - { 5307, 0.5974, 63.7359 }, - { 4696, 2.1492, 227.5262 }, - { 4044, 1.6401, 209.3669 }, - { 3688, 0.7802, 412.3711 }, - { 3461, 1.8509, 175.1661 }, - { 3420, 4.9455, 1581.9593 }, - { 3401, 0.5539, 350.3321 }, - { 3376, 3.6953, 224.3448 }, - { 2976, 5.6847, 210.1177 }, - { 2885, 1.3876, 838.9693 }, - { 2881, 0.1796, 853.1964 }, - { 2508, 3.5385, 742.9901 }, - { 2448, 6.1841, 1368.6603 }, - { 2406, 2.9656, 117.3199 }, - { 2174, 0.0151, 340.7709 }, - { 2024, 5.0541, 11.0457 } -}; - -const VSOP87Coefficient g_R1SaturnCoefficients[] = -{ - { 6182981, 0.2584352, 213.2990954 }, - { 506578, 0.711147, 206.185548 }, - { 341394, 5.796358, 426.598191 }, - { 188491, 0.472157, 220.412642 }, - { 186262, 3.141593, 0 }, - { 143891, 1.407449, 7.113547 }, - { 49621, 6.01744, 103.09277 }, - { 20928, 5.09246, 639.89729 }, - { 19953, 1.17560, 419.48464 }, - { 18840, 1.60820, 110.20632 }, - { 13877, 0.75886, 199.07200 }, - { 12893, 5.94330, 433.71174 }, - { 5397, 1.2885, 14.2271 }, - { 4869, 0.8679, 323.5054 }, - { 4247, 0.3930, 227.5262 }, - { 3252, 1.2585, 95.9792 }, - { 3081, 3.4366, 522.5774 }, - { 2909, 4.6068, 202.2534 }, - { 2856, 2.1673, 735.8765 }, - { 1988, 2.4505, 412.3711 }, - { 1941, 6.0239, 209.3669 }, - { 1581, 1.2919, 210.1177 }, - { 1340, 4.3080, 853.1964 }, - { 1316, 1.2530, 117.3199 }, - { 1203, 1.8665, 316.3919 }, - { 1091, 0.0753, 216.4805 }, - { 966, 0.480, 632.784 }, - { 954, 5.152, 647.011 }, - { 898, 0.983, 529.691 }, - { 882, 1.885, 1052.268 }, - { 874, 1.402, 224.345 }, - { 785, 3.064, 838.969 }, - { 740, 1.382, 625.670 }, - { 658, 4.144, 309.278 }, - { 650, 1.725, 742.990 }, - { 613, 3.033, 63.736 }, - { 599, 2.549, 217.231 }, - { 503, 2.130, 3.932 } -}; - -const VSOP87Coefficient g_R2SaturnCoefficients[] = -{ - { 436902, 4.786717, 213.299095 }, - { 71923, 2.50070, 206.18555 }, - { 49767, 4.97168, 220.41264 }, - { 43221, 3.86940, 426.59819 }, - { 29646, 5.96310, 7.11355 }, - { 4721, 2.4753, 199.0720 }, - { 4142, 4.1067, 433.7117 }, - { 3789, 3.0977, 639.8973 }, - { 2964, 1.3721, 103.0928 }, - { 2556, 2.8507, 419.4846 }, - { 2327, 0, 0 }, - { 2208, 6.2759, 110.2063 }, - { 2188, 5.8555, 14.2271 }, - { 1957, 4.9245, 227.5262 }, - { 924, 5.464, 323.505 }, - { 706, 2.971, 95.979 }, - { 546, 4.129, 412.371 }, - { 431, 5.178, 522.577 }, - { 405, 4.173, 209.367 }, - { 391, 4.481, 216.480 }, - { 374, 5.834, 117.320 }, - { 361, 3.277, 647.011 }, - { 356, 3.192, 210.118 }, - { 326, 2.269, 853.196 }, - { 207, 4.022, 735.877 }, - { 204, 0.088, 202.253 }, - { 180, 3.597, 632.784 }, - { 178, 4.097, 440.825 }, - { 154, 3.135, 625.670 }, - { 148, 0.136, 302.165 }, - { 133, 2.594, 191.958 }, - { 132, 5.933, 309.278 } -}; - -const VSOP87Coefficient g_R3SaturnCoefficients[] = -{ - { 20315, 3.02187, 213.29910 }, - { 8924, 3.1914, 220.4126 }, - { 6909, 4.3517, 206.1855 }, - { 4087, 4.2241, 7.1135 }, - { 3879, 2.0106, 426.5982 }, - { 1071, 4.2036, 199.0720 }, - { 907, 2.283, 433.712 }, - { 606, 3.175, 227.526 }, - { 597, 4.135, 14.227 }, - { 483, 1.173, 639.897 }, - { 393, 0, 0 }, - { 229, 4.698, 419.485 }, - { 188, 4.590, 110.206 }, - { 150, 3.202, 103.093 }, - { 121, 3.768, 323.505 }, - { 102, 4.710, 95.979 }, - { 101, 5.819, 412.371 }, - { 93, 1.44, 647.01 }, - { 84, 2.63, 216.48 }, - { 73, 4.15, 117.32 }, - { 62, 2.31, 440.83 }, - { 55, 0.31, 853.20 }, - { 50, 2.39, 209.37 }, - { 45, 4.37, 191.96 }, - { 41, 0.69, 522.58 }, - { 40, 1.84, 302.16 }, - { 38, 5.94, 88.87 }, - { 32, 4.01, 21.34 } -}; - -const VSOP87Coefficient g_R4SaturnCoefficients[] = -{ - { 1202, 1.4150, 220.4126 }, - { 708, 1.162, 213.299 }, - { 516, 6.240, 206.186 }, - { 427, 2.469, 7.114 }, - { 268, 0.187, 426.598 }, - { 170, 5.959, 199.072 }, - { 150, 0.480, 433.712 }, - { 145, 1.442, 227.526 }, - { 121, 2.405, 14.227 }, - { 47, 5.57, 639.90 }, - { 19, 5.86, 647.01 }, - { 17, 0.53, 440.83 }, - { 16, 2.90, 110.21 }, - { 15, 0.30, 419.48 }, - { 14, 1.30, 412.37 }, - { 13, 2.09, 323.51 }, - { 11, 0.22, 95.98 }, - { 11, 2.46, 117.32 }, - { 10, 3.14, 0 }, - { 9, 1.56, 88.87 }, - { 9, 2.28, 21.34 }, - { 9, 0.68, 216.48 }, - { 8, 1.27, 234.64 } -}; - -const VSOP87Coefficient g_R5SaturnCoefficients[] = -{ - { 129, 5.913, 220.413 }, - { 32, 0.69, 7.11 }, - { 27, 5.91, 227.53 }, - { 20, 4.95, 433.71 }, - { 20, 0.67, 14.23 }, - { 14, 2.67, 206.19 }, - { 14, 1.46, 199.07 }, - { 13, 4.59, 426.60 }, - { 7, 4.63, 213.30 }, - { 5, 3.61, 639.90 }, - { 4, 4.90, 440.83 }, - { 3, 4.07, 647.01 }, - { 3, 4.66, 191.96 }, - { 3, 0.49, 323.51 }, - { 3, 3.18, 419.48 }, - { 2, 3.70, 88.87 }, - { 2, 3.32, 95.98 }, - { 2, 0.56, 117.32 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -///////////////////////////// Implementation ////////////////////////////////// - -double CAASaturn::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Saturn::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0SaturnCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i -using namespace std; - - -//////////////////////////// Implementation /////////////////////////////////// - -double CAASun::GeometricEclipticLongitude(double JD, bool bHighPrecision) -{ - return CAACoordinateTransformation::MapTo0To360Range(CAAEarth::EclipticLongitude(JD, bHighPrecision) + 180); -} - -double CAASun::GeometricEclipticLatitude(double JD, bool bHighPrecision) -{ - return -CAAEarth::EclipticLatitude(JD, bHighPrecision); -} - -double CAASun::GeometricEclipticLongitudeJ2000(double JD, bool bHighPrecision) -{ - return CAACoordinateTransformation::MapTo0To360Range(CAAEarth::EclipticLongitudeJ2000(JD, bHighPrecision) + 180); -} - -double CAASun::GeometricEclipticLatitudeJ2000(double JD, bool bHighPrecision) -{ - return -CAAEarth::EclipticLatitudeJ2000(JD, bHighPrecision); -} - -double CAASun::GeometricFK5EclipticLongitude(double JD, bool bHighPrecision) -{ - //Convert to the FK5 stystem - double Longitude = GeometricEclipticLongitude(JD, bHighPrecision); - double Latitude = GeometricEclipticLatitude(JD, bHighPrecision); - Longitude += CAAFK5::CorrectionInLongitude(Longitude, Latitude, JD); - - return Longitude; -} - -double CAASun::GeometricFK5EclipticLatitude(double JD, bool bHighPrecision) -{ - //Convert to the FK5 stystem - double Longitude = GeometricEclipticLongitude(JD, bHighPrecision); - double Latitude = GeometricEclipticLatitude(JD, bHighPrecision); - double SunLatCorrection = CAAFK5::CorrectionInLatitude(Longitude, JD); - Latitude += SunLatCorrection; - - return Latitude; -} - -double CAASun::ApparentEclipticLongitude(double JD, bool bHighPrecision) -{ - double Longitude = GeometricFK5EclipticLongitude(JD, bHighPrecision); - - //Apply the correction in longitude due to nutation - Longitude += CAACoordinateTransformation::DMSToDegrees(0, 0, CAANutation::NutationInLongitude(JD)); - - //Apply the correction in longitude due to aberration - double R = CAAEarth::RadiusVector(JD, bHighPrecision); - Longitude -= CAACoordinateTransformation::DMSToDegrees(0, 0, 20.4898 / R); - - return Longitude; -} - -double CAASun::ApparentEclipticLatitude(double JD, bool bHighPrecision) -{ - return GeometricFK5EclipticLatitude(JD, bHighPrecision); -} - -CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesMeanEquinox(double JD, bool bHighPrecision) -{ - double Longitude = CAACoordinateTransformation::DegreesToRadians(GeometricFK5EclipticLongitude(JD, bHighPrecision)); - double Latitude = CAACoordinateTransformation::DegreesToRadians(GeometricFK5EclipticLatitude(JD, bHighPrecision)); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); - double epsilon = CAACoordinateTransformation::DegreesToRadians(CAANutation::MeanObliquityOfEcliptic(JD)); - - CAA3DCoordinate value; - value.X = R * cos(Latitude) * cos(Longitude); - value.Y = R * (cos(Latitude) * sin(Longitude) * cos(epsilon) - sin(Latitude) * sin(epsilon)); - value.Z = R * (cos(Latitude) * sin(Longitude) * sin(epsilon) + sin(Latitude) * cos(epsilon)); - - return value; -} - -CAA3DCoordinate CAASun::EclipticRectangularCoordinatesJ2000(double JD, bool bHighPrecision) -{ - double Longitude = GeometricEclipticLongitudeJ2000(JD, bHighPrecision); - Longitude = CAACoordinateTransformation::DegreesToRadians(Longitude); - double Latitude = GeometricEclipticLatitudeJ2000(JD, bHighPrecision); - Latitude = CAACoordinateTransformation::DegreesToRadians(Latitude); - double R = CAAEarth::RadiusVector(JD, bHighPrecision); - - CAA3DCoordinate value; - double coslatitude = cos(Latitude); - value.X = R * coslatitude * cos(Longitude); - value.Y = R * coslatitude * sin(Longitude); - value.Z = R * sin(Latitude); - - return value; -} - -CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesJ2000(double JD, bool bHighPrecision) -{ - CAA3DCoordinate value = EclipticRectangularCoordinatesJ2000(JD, bHighPrecision); - value = CAAFK5::ConvertVSOPToFK5J2000(value); - - return value; -} - -CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesB1950(double JD, bool bHighPrecision) -{ - CAA3DCoordinate value = EclipticRectangularCoordinatesJ2000(JD, bHighPrecision); - value = CAAFK5::ConvertVSOPToFK5B1950(value); - - return value; -} - -CAA3DCoordinate CAASun::EquatorialRectangularCoordinatesAnyEquinox(double JD, double JDEquinox, bool bHighPrecision) -{ - CAA3DCoordinate value = EquatorialRectangularCoordinatesJ2000(JD, bHighPrecision); - value = CAAFK5::ConvertVSOPToFK5AnyEquinox(value, JDEquinox); - - return value; -} diff --git a/Vendor/AA+/1.6.3/AATest.cpp b/Vendor/AA+/1.6.3/AATest.cpp deleted file mode 100755 index c38ba80..0000000 --- a/Vendor/AA+/1.6.3/AATest.cpp +++ /dev/null @@ -1,2920 +0,0 @@ -#include "stdafx.h" -#define _USE_MATH_DEFINES -#include "AA+.h" -#include -#include -#include -using namespace std; - - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -void GetSolarRaDecByJulian(double JD, bool bHighPrecision, double& RA, double& Dec) -{ - double JDSun = CAADynamicalTime::UTC2TT(JD); - double lambda = CAASun::ApparentEclipticLongitude(JDSun, bHighPrecision); - double beta = CAASun::ApparentEclipticLatitude(JDSun, bHighPrecision); - double epsilon = CAANutation::TrueObliquityOfEcliptic(JDSun); - CAA2DCoordinate Solarcoord = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, epsilon); - RA = Solarcoord.X; - Dec = Solarcoord.Y; -} - -void GetLunarRaDecByJulian(double JD, double& RA, double& Dec) -{ - double JDMoon = CAADynamicalTime::UTC2TT(JD); - double lambda = CAAMoon::EclipticLongitude(JDMoon); - double beta = CAAMoon::EclipticLatitude(JDMoon); - double epsilon = CAANutation::TrueObliquityOfEcliptic(JDMoon); - CAA2DCoordinate Lunarcoord = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, epsilon); - RA = Lunarcoord.X; - Dec = Lunarcoord.Y; -} - -CAARiseTransitSetDetails GetSunRiseTransitSet(double JD, double longitude, double latitude, bool bHighPrecision) -{ - double alpha1 = 0; - double delta1 = 0; - GetSolarRaDecByJulian(JD - 1, bHighPrecision, alpha1, delta1); - double alpha2 = 0; - double delta2 = 0; - GetSolarRaDecByJulian(JD, bHighPrecision, alpha2, delta2); - double alpha3 = 0; - double delta3 = 0; - GetSolarRaDecByJulian(JD + 1, bHighPrecision, alpha3, delta3); - return CAARiseTransitSet::Calculate(CAADynamicalTime::UTC2TT(JD), alpha1, delta1, alpha2, delta2, alpha3, delta3, longitude, latitude, -0.8333); -} - -CAARiseTransitSetDetails GetMoonRiseTransitSet(double JD, double longitude, double latitude) -{ - double alpha1 = 0; - double delta1 = 0; - GetLunarRaDecByJulian(JD - 1, alpha1, delta1); - double alpha2 = 0; - double delta2 = 0; - GetLunarRaDecByJulian(JD, alpha2, delta2); - double alpha3 = 0; - double delta3 = 0; - GetLunarRaDecByJulian(JD + 1, alpha3, delta3); - return CAARiseTransitSet::Calculate(CAADynamicalTime::UTC2TT(JD), alpha1, delta1, alpha2, delta2, alpha3, delta3, longitude, latitude, 0.125); -} - -void PrintTime(double JD, const char* msg) -{ - CAADate date_time(JD, true); - long year = 0; - long month = 0; - long day = 0; - long hour = 0; - long minute = 0; - double second = 0; - date_time.Get(year, month, day, hour, minute, second); - printf("%s: %d-%d-%d %02d:%02d:%02d\n", msg, static_cast(year), static_cast(month), static_cast(day), static_cast(hour), static_cast(minute), static_cast(second)); -} - -void PrintRiseTransitSet(double JD, CAARiseTransitSetDetails& rise_transit_set) -{ - if (rise_transit_set.bRiseValid) - { - double riseJD = (JD + (rise_transit_set.Rise / 24.00)); - PrintTime(riseJD, "Rise"); - } - - double transitJD = (JD + (rise_transit_set.Transit / 24.00)); - PrintTime(transitJD, "Transit"); - - if (rise_transit_set.bSetValid) - { - double setJD = (JD + (rise_transit_set.Set / 24.00)); - PrintTime(setJD, "Set"); - } -} - -void PrintRiseTransitSet2(double JD, int time_zone_offset, CAARiseTransitSetDetails& rise_transit_set) -{ - if (rise_transit_set.bRiseValid) - { - double riseJD = (JD + ((rise_transit_set.Rise) / 24.00)); - PrintTime(riseJD, "Rise (UTC)"); - riseJD += ((time_zone_offset) / 24.00); - PrintTime(riseJD, "Rise (Local)"); - } - - double transitJD = (JD + ((rise_transit_set.Transit) / 24.00)); - PrintTime(transitJD, "Transit (UTC)"); - transitJD += ((time_zone_offset) / 24.00); - PrintTime(transitJD, "Transit (Local)"); - - if (rise_transit_set.bSetValid) - { - double setJD = (JD + ((rise_transit_set.Set) / 24.00)); - PrintTime(setJD, "Set (UTC)"); - setJD += ((time_zone_offset) / 24.00); - PrintTime(setJD, "Set (Local)"); - } -} - -void GetMoonIllumination(double JD, bool bHighPrecision, double& illuminated_fraction, double& position_angle, double& phase_angle) -{ - double moon_alpha = 0; - double moon_delta = 0; - GetLunarRaDecByJulian(JD, moon_alpha, moon_delta); - double sun_alpha = 0; - double sun_delta = 0; - GetSolarRaDecByJulian(JD, bHighPrecision, sun_alpha, sun_delta); - double geo_elongation = CAAMoonIlluminatedFraction::GeocentricElongation(moon_alpha, moon_delta, sun_alpha, sun_delta); - - position_angle = CAAMoonIlluminatedFraction::PositionAngle(sun_alpha, sun_delta, moon_alpha, moon_delta); - phase_angle = CAAMoonIlluminatedFraction::PhaseAngle(geo_elongation, 368410.0, 149971520.0); - illuminated_fraction = CAAMoonIlluminatedFraction::IlluminatedFraction(phase_angle); -} - -void ASCIIPlot(char* buf, int buf_w, int x, int y, bool b) -{ - buf[x + y * buf_w] = b ? 'X' : ' '; -} - -void DrawFilledEllipse(char* buf, int buf_w, int c_x, int c_y, int w, int h, bool half_l, bool half_r, bool b) -{ - int hh = h * h; - int ww = w * w; - int hhww = hh * ww; - int x0 = w; - int dx = 0; - - //do the horizontal diameter - if (half_l) - { - for (int x = 0; x <= w; x++) - ASCIIPlot(buf, buf_w, c_x - x, c_y, b); - } - if (half_r) - { - for (int x = -w; x <= 0; x++) - ASCIIPlot(buf, buf_w, c_x - x, c_y, b); - } - //now do both halves at the same time, away from the diameter - for (int y = 1; y <= h; y++) - { - int x1 = x0 - (dx - 1); //try slopes of dx - 1 or more - for ( ; x1 > 0; x1--) - { - if (x1*x1*hh + y*y*ww <= hhww) - break; - } - dx = x0 - x1; // current approximation of the slope - x0 = x1; - - for (int x = -x0; x <= x0; x++) - { - if ((half_l && x <= 0) || (half_r && x >= 0)) - { - ASCIIPlot(buf, buf_w, c_x + x, c_y - y, b); - ASCIIPlot(buf, buf_w, c_x + x, c_y + y, b); - } - } - } -} - -double MapRange(double new_min, double new_max, double old_min, double old_max, double old_val) -{ - return (((old_val - old_min) * (new_max - new_min)) / (old_max - old_min)) + new_min; -} - -void PrintMoonPhase(double position_angle, double phase_angle) -{ - //Phase: - //right side illuminated: 0 - 180 degrees - //left side illuminated: 180 - 360 degrees - //0 degrees = new moon - //90 degrees = first quarter (right half illuminated) - //180 degrees = full moon - //270 degrees = last quarter (left half illuminated) - double phase(position_angle < 180 ? phase_angle + 180 : 180 - phase_angle); - - const int buf_w = 80; - const int buf_h = 40; - char buf[buf_w * buf_h]; - memset(buf, ' ', sizeof(buf)); - - int center_x = buf_w / 2; - int center_y = buf_h / 2; - int radius_w = (buf_w - 1) / 2; - int radius_h = (buf_h - 1) / 2; - - if (phase < 90) - { - //round right + cut out right - DrawFilledEllipse(buf, buf_w, center_x, center_y, radius_w, radius_h, false, true, true); - DrawFilledEllipse(buf, buf_w, center_x, center_y, - static_cast(radius_w * sin(MapRange(M_PI_2, 0.0f, 0.0f, 90.0f, phase))), radius_h, - false, true, false); - } - else if (phase >= 90 && phase < 180) - { - //round right + addition left - DrawFilledEllipse(buf, buf_w, center_x, center_y, radius_w, radius_h, false, true, true); - DrawFilledEllipse(buf, buf_w, center_x, center_y, - static_cast(radius_w * sin(MapRange(0.0f, M_PI_2, 90.0f, 180.0f, phase))), radius_h, - true, false, true); - } - else if (phase >= 180 && phase < 270) - { - //round left + addition right - DrawFilledEllipse(buf, buf_w, center_x, center_y, radius_w, radius_h, true, false, true); - DrawFilledEllipse(buf, buf_w, center_x, center_y, - static_cast(radius_w * sin(MapRange(M_PI_2, 0.0f, 180.0f, 270.0f, phase))), radius_h, - false, true, true); - } - else - { - //round left + cut out left - DrawFilledEllipse(buf, buf_w, center_x, center_y, radius_w, radius_h, true, false, true); - DrawFilledEllipse(buf, buf_w, center_x, center_y, - static_cast(radius_w * sin(MapRange(0.0f, M_PI_2, 270.0f, 360.0f, phase))), radius_h, - true, false, false); - } - - for (int y=0; y((illuminated_fraction * 100) + 0.5)); - PrintMoonPhase(position_angle, phase_angle); -} - -void PrintSunAndMoonInfo(long year, long month, long day, double longitude, double latitude, bool bHighPrecision) -{ - CAADate CalcDate(year, month, day, true); - double JD = CalcDate.Julian(); - printf("Times are in UTC\n"); - CAARiseTransitSetDetails sun_rise_transit_set(GetSunRiseTransitSet(JD, longitude, latitude, bHighPrecision)); - printf("Sun:\n"); - PrintRiseTransitSet(JD, sun_rise_transit_set); - printf("Moon:\n"); - CAARiseTransitSetDetails moon_rise_transit_set(GetMoonRiseTransitSet(JD, longitude, latitude)); - PrintRiseTransitSet(JD, moon_rise_transit_set); - PrintMoonIlluminationAndPhase(JD, bHighPrecision); -} - -void PrintSunAndMoonInfo2(const char* city_name, int year, int month, int day, int time_offset, double longitude, double latitude, bool bHighPrecision) -{ - CAADate CalcDate(year, month, day, true); - double JD = CalcDate.Julian(); - printf("Information for %s. Times are offset %d hrs from UTC\n", city_name, time_offset); - CAARiseTransitSetDetails sun_rise_transit_set(GetSunRiseTransitSet(JD, longitude, latitude, bHighPrecision)); - printf("\nSun:\n"); - PrintRiseTransitSet2(JD, time_offset, sun_rise_transit_set); - printf("\nMoon:\n"); - CAARiseTransitSetDetails moon_rise_transit_set(GetMoonRiseTransitSet(JD, longitude, latitude)); - PrintRiseTransitSet2(JD, time_offset, moon_rise_transit_set); - printf("\n\nxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx\n\n"); -} - -void GetMercuryRaDecByJulian(double JD, bool bHighPrecision, double& RA, double& Dec) -{ - double JDMercury = CAADynamicalTime::UTC2TT(JD); - double lambda = CAAMercury::EclipticLongitude(JDMercury, bHighPrecision); - double beta = CAAMercury::EclipticLatitude(JDMercury, bHighPrecision); - double epsilon = CAANutation::TrueObliquityOfEcliptic(JDMercury); - CAA2DCoordinate Mercurycoord = CAACoordinateTransformation::Ecliptic2Equatorial(lambda, beta, epsilon); - RA = Mercurycoord.X; - Dec = Mercurycoord.Y; -} - -CAARiseTransitSetDetails GetMercuryRiseTransitSet(double JD, double longitude, double latitude, bool bHighPrecision) -{ - double alpha1 = 0; - double delta1 = 0; - GetMercuryRaDecByJulian(JD - 1, bHighPrecision, alpha1, delta1); - double alpha2 = 0; - double delta2 = 0; - GetMercuryRaDecByJulian(JD, bHighPrecision, alpha2, delta2); - double alpha3 = 0; - double delta3 = 0; - GetMercuryRaDecByJulian(JD + 1, bHighPrecision, alpha3, delta3); - - printf("%f,%f,%f\n", alpha1, alpha2, alpha3); - - return CAARiseTransitSet::Calculate(CAADynamicalTime::UTC2TT(JD), alpha1, delta1, alpha2, delta2, alpha3, delta3, longitude, latitude, -0.5667); -} - -void PrintTransit(double JD, CAARiseTransitSetDetails& rise_transit_set) -{ - double transitJD = (JD + (rise_transit_set.Transit / 24.00)); - PrintTime(transitJD, "Transit"); -} - -void PrintMercuryInfo(double JD, double longitude, double latitude, bool bHighPrecision) -{ - CAARiseTransitSetDetails Mercury_rise_transit_set(GetMercuryRiseTransitSet(JD, longitude, latitude, bHighPrecision)); - PrintTransit(JD, Mercury_rise_transit_set); -} - -int main() -{ - double MappedValue = CAACoordinateTransformation::MapTo0To2PIRange(-7); - UNREFERENCED_PARAMETER(MappedValue); - MappedValue = CAACoordinateTransformation::MapTo0To2PIRange(-1); - MappedValue = CAACoordinateTransformation::MapTo0To2PIRange(1); - MappedValue = CAACoordinateTransformation::MapTo0To2PIRange(2); - MappedValue = CAACoordinateTransformation::MapTo0To2PIRange(7); - - MappedValue = CAACoordinateTransformation::MapTo0To360Range(-361); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(-150); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(-50); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(50); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(150); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(250); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(370); - MappedValue = CAACoordinateTransformation::MapTo0To360Range(770); - - MappedValue = CAACoordinateTransformation::MapTo0To24Range(-26); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(-15); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(-5); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(5); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(15); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(25); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(37); - MappedValue = CAACoordinateTransformation::MapTo0To24Range(77); - - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(0); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(0.1); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(1); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(7); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(40); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(87); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(90); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(170); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(180); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(185); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(269); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(272); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(360); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(361); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-361); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-360); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-272); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-269); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-185); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-180); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-170); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-97); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-90); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-87); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-40); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-7); - MappedValue = CAACoordinateTransformation::MapToMinus90To90Range(-1); - - //Print out the rise transit and set times for Mercury for 60 days starting from the 1st of March in 2038. - double JD = 2465483.5000000000; - for (int i=0; i<60; ++i) - { - PrintMercuryInfo(JD, 0, 0, false); - PrintMercuryInfo(JD, 0, 0, true); - JD += 1; - } - - //Print out the rise transit and set times for the Moon and Sun for each city - //Date is for October 31, 2012 - long Year = 2012; - long Month = 10; - long Day = 31; - long Hour = 0; - long Minute = 0; - double Second = 0; - - //Array for city name - const char* city_names[] = {"Buenos Aires", "Moscow", "Dublin", "Tampa", "Cape Town", "North Pole", "Tasmania"}; - - //Array for longitudes / latitudes {longitude, latitude} - //east longitude and south latitude are negative values - double longitudes_latitudes[7][2] = {{58.3817, -34.6036}, {-37.6178, 55.7517}, {6.2661, 53.3428}, {82.4586, 27.9472}, {-18.4244, -33.9767}, {0.0, 90.0}, {-146, -41} }; - - //Array for time offsets {time zone. daylight savings} - int time_offsets[7][2] = { {-3, 0}, {4, 0}, {0, 1}, {-5, 1}, {2, 0}, {0, 0}, {10, 0} }; - - //Print out rise and set details for all of the locations - for (int i=0; i(sizeof(city_names)/sizeof(char*)); ++i) - { - int time_zone_offset = time_offsets[i][0]; - int daylight_savings = time_offsets[i][1]; - int time_offset = time_zone_offset + daylight_savings; - - PrintSunAndMoonInfo2(city_names[i], Year, Month, Day, time_offset, longitudes_latitudes[i][0], longitudes_latitudes[i][1], false); - PrintSunAndMoonInfo2(city_names[i], Year, Month, Day, time_offset, longitudes_latitudes[i][0], longitudes_latitudes[i][1], true); - } - - - //Print out the rise transit and set times for the Moon and Sun for Tampa for May 11, 2012 - Year = 2012; - Month = 5; - Day = 11; - - //Array for city name - const char* city_names2[] = {"Tampa"}; - - //Array for longitudes / latitudes {longitude, latitude} - //east longitude and south latitude are negative values - double longitudes_latitudes2[1][2] = { {82.4586, 27.9472} }; - - //Array for time offsets {time zone. daylight savings} - int time_offsets2[7][2] = { {-5, 1} }; - - //Print out rise and set details for all of the locations - for (int i=0; i(sizeof(city_names2)/sizeof(char*)); ++i) - { - int time_zone_offset = time_offsets2[i][0]; - int daylight_savings = time_offsets2[i][1]; - int time_offset = time_zone_offset + daylight_savings; - - PrintSunAndMoonInfo2(city_names2[i], Year, Month, Day, time_offset, longitudes_latitudes2[i][0], longitudes_latitudes2[i][1], false); - PrintSunAndMoonInfo2(city_names2[i], Year, Month, Day, time_offset, longitudes_latitudes2[i][0], longitudes_latitudes2[i][1], true); - } - - - - //Print out the rise transit and set times for the Moon and Sun as well as a ASCII graphic of the - //moon phase for the month of April 2012 for the location of Wexford, Ireland. Thanks to Roger Dahl - //for providing this nice addition to AA+. - Year = 2012; - Month = 4; - int days_in_month = 30; - double longitude = 6.5; - double latitude = 52.5; - for (int i=1; i <= days_in_month; ++i) - { - Day = i; - PrintSunAndMoonInfo(Year, Month, Day, longitude, latitude, false); - PrintSunAndMoonInfo(Year, Month, Day, longitude, latitude, true); - } - - - /* - //Code to write out all the JD of year values from 2012 to 2023 - year = 2012; - bool bContinue = true; - while (bContinue) - { - CAADate date(year, 1, 1, true); - double DaysInYear = date.DaysInYear(); - double JD = date.Julian(); - printf("%f\n", JD); - printf("%f\n", JD + DaysInYear/4); - printf("%f\n", JD + DaysInYear/2); - printf("%f\n", JD + DaysInYear*3/4); - - //Prepare for the next loop - ++year; - if (year > 2023) - bContinue = false; - } - return 0; - */ - - /* - //Code to write out the values of UT1-UTC for a specific range - CAADate Datex(1972, 1, 1, true); - double JDUT1 = Datex.Julian(); - bool bContinue2 = true; - while (bContinue2) - { - printf("%f\t%f\n", JDUT1, CAADynamicalTime::UT1MinusUTC(JDUT1)); - - //Prepare for the next loop - ++JDUT1; - if (JDUT1 >= 2460494.000000) - bContinue2 = false; - } - return 0; - */ - - /* - //Code to write out the values of DeltaT for a specific range - double JDD = 2441014.5; - bool bContinue3 = true; - while (bContinue3) - { - double LeapSeconds = CAADynamicalTime::CumulativeLeapSeconds(JDD); - double TTC = LeapSeconds + 32.184; - double DeltaT = CAADynamicalTime::DeltaT(JDD); - CAADate date(JDD, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("%04d/%02d/%02d\t%f\t%f\t%f\t%f\t%f\n", Year, Month, Day, JDD, DeltaT, LeapSeconds, TTC, TTC - DeltaT); - - //Prepare for the next loop - ++JDD; - if (JDD >= 2460494.000000) - bContinue3 = false; - } - return 0; - */ - - //Calculate the topocentric horizontal position of the Sun for Palomar Observatory on midnight UTC for the 21st of September 2007 - CAADate dateSunCalc(2007, 9, 21, true); - double JDSun = CAADynamicalTime::UTC2TT(dateSunCalc.Julian()); - double SunLong = CAASun::ApparentEclipticLongitude(JDSun, false); - double SunLong2 = CAASun::ApparentEclipticLongitude(JDSun, true); - double SunLat = CAASun::ApparentEclipticLatitude(JDSun, false); - double SunLat2 = CAASun::ApparentEclipticLatitude(JDSun, true); - CAA2DCoordinate Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLong, SunLat, CAANutation::TrueObliquityOfEcliptic(JDSun)); - double SunRad = CAAEarth::RadiusVector(JDSun, false); - double SunRad2 = CAAEarth::RadiusVector(JDSun, true); - UNREFERENCED_PARAMETER(SunRad2); - double Longitude = CAACoordinateTransformation::DMSToDegrees(116, 51, 45); //West is considered positive - double Latitude = CAACoordinateTransformation::DMSToDegrees(33, 21, 22); - double Height = 1706; - CAA2DCoordinate SunTopo = CAAParallax::Equatorial2Topocentric(Equatorial.X, Equatorial.Y, SunRad, Longitude, Latitude, Height, JDSun); - double AST = CAASidereal::ApparentGreenwichSiderealTime(dateSunCalc.Julian()); - double LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(Longitude); - double LocalHourAngle = AST - LongtitudeAsHourAngle - SunTopo.X; - CAA2DCoordinate SunHorizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, SunTopo.Y, Latitude); - SunHorizontal.Y += CAARefraction::RefractionFromTrue(SunHorizontal.Y, 1013, 10); - - //The result above should be that we have a setting Sun at 21 degrees above the horizon at azimuth 14 degrees south of the westerly horizon - - - //Calculate the topocentric horizontal position of the Moon for Palomar Observatory on midnight UTC for the 21st of September 2007 - CAADate dateMoonCalc(2007, 9, 21, true); - double JDMoon = CAADynamicalTime::UTC2TT(dateMoonCalc.Julian()); - double MoonLong = CAAMoon::EclipticLongitude(JDMoon); - double MoonLat = CAAMoon::EclipticLatitude(JDMoon); - Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(MoonLong, MoonLat, CAANutation::TrueObliquityOfEcliptic(JDMoon)); - double MoonRad = CAAMoon::RadiusVector(JDMoon); - MoonRad /= 149597870.691; //Convert KM to AU - Longitude = CAACoordinateTransformation::DMSToDegrees(116, 51, 45); //West is considered positive - Latitude = CAACoordinateTransformation::DMSToDegrees(33, 21, 22); - Height = 1706; - CAA2DCoordinate MoonTopo = CAAParallax::Equatorial2Topocentric(Equatorial.X, Equatorial.Y, MoonRad, Longitude, Latitude, Height, JDMoon); - AST = CAASidereal::ApparentGreenwichSiderealTime(dateMoonCalc.Julian()); - LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(Longitude); - LocalHourAngle = AST - LongtitudeAsHourAngle - MoonTopo.X; - CAA2DCoordinate MoonHorizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, MoonTopo.Y, Latitude); - MoonHorizontal.Y += CAARefraction::RefractionFromTrue(MoonHorizontal.Y, 1013, 10); - - //The result above should be that we have a rising Moon at 17 degrees above the horizon at azimuth 38 degrees east of the southern horizon - - - //Do a full round trip test on CAADate across a nice wide range. Note we should expect - //some printfs to appear during this test (Specifically a monotonic error for 15 October 1582) - double prevJulian = -1; - for (int YYYY=-4712; YYYY<5000; YYYY++) //Change the end YYYY value if you would like to test a longer range - { - if ((YYYY % 1000) == 0) - printf("Doing date tests on year %d\n", YYYY); - for (int MMMM=1; MMMM<=12; MMMM++) - { - bool bLeap = CAADate::IsLeap(YYYY, (YYYY >= 1582)); - for (int DDDD=1; DDDD<=CAADate::DaysInMonth(MMMM, bLeap); DDDD++) - { - bool bGregorian = CAADate::AfterPapalReform(YYYY, MMMM, DDDD); - CAADate date(YYYY, MMMM, DDDD, 12, 0, 0, bGregorian); - if ((date.Year() != YYYY) || (date.Month() != MMMM)|| (date.Day() != DDDD)) - printf("Round trip bug with date %d-%d-%d\n", YYYY, MMMM, DDDD); - double currentJulian = date.Julian(); - if ((prevJulian != -1) && ((prevJulian + 1) != currentJulian)) - printf("Julian Day monotonic bug with date %d-%d-%d\n", YYYY, MMMM, DDDD); - prevJulian = currentJulian; - - //Only do round trip tests between the Julian and Gregorian calendars after the papal - //reform. This is because the CAADate class does not support the propalactic Gregorian - //calendar, while it does fully support the propalactic Julian calendar. - if (bGregorian) - { - CAACalendarDate GregorianDate(CAADate::JulianToGregorian(YYYY, MMMM, DDDD)); - CAACalendarDate JulianDate(CAADate::GregorianToJulian(GregorianDate.Year, GregorianDate.Month, GregorianDate.Day)); - if ((JulianDate.Year != YYYY) || (JulianDate.Month != MMMM)|| (JulianDate.Day != DDDD)) - printf("Round trip bug with Julian -> Gregorian Calendar %d-%d-%d\n", YYYY, MMMM, DDDD); - } - } - } - } - printf("Date tests completed\n"); - - //Test out the AADate class - CAADate date; - date.Set(2000, 1, 1, 12, 1, 2.3, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - long DaysInMonth = date.DaysInMonth(); - UNREFERENCED_PARAMETER(DaysInMonth); - long DaysInYear = date.DaysInYear(); - UNREFERENCED_PARAMETER(DaysInYear); - bool bLeap = date.Leap(); - UNREFERENCED_PARAMETER(bLeap); - double Julian = date.Julian(); - UNREFERENCED_PARAMETER(Julian); - double FractionalYear = date.FractionalYear(); - UNREFERENCED_PARAMETER(FractionalYear); - double DayOfYear = date.DayOfYear(); - UNREFERENCED_PARAMETER(DayOfYear); - CAADate::DAY_OF_WEEK dow = date.DayOfWeek(); - UNREFERENCED_PARAMETER(dow); - Year = date.Year(); - Month = date.Month(); - Day = date.Day(); - Hour = date.Hour(); - Minute = date.Minute(); - Second = date.Second(); - double Julian2 = date; - UNREFERENCED_PARAMETER(Julian2); - - date.Set(1978, 11, 14, 0, 0, 0, true); - long DayNumber = static_cast(date.DayOfYear()); - date.DayOfYearToDayAndMonth(DayNumber, date.Leap(), Day, Month); - Year = date.Year(); - - //Test out the AAEaster class - CAAEasterDetails easterDetails = CAAEaster::Calculate(1991, true); - UNREFERENCED_PARAMETER(easterDetails); - CAAEasterDetails easterDetails2 = CAAEaster::Calculate(1818, true); - UNREFERENCED_PARAMETER(easterDetails2); - CAAEasterDetails easterDetails3 = CAAEaster::Calculate(179, false); - UNREFERENCED_PARAMETER(easterDetails3); - - //Test out the AADynamicalTime class - date.Set(1977, 2, 18, 3, 37, 40, true); - double DeltaT = CAADynamicalTime::DeltaT(date.Julian()); - date.Set(333, 2, 6, 6, 0, 0, false); - DeltaT = CAADynamicalTime::DeltaT(date.Julian()); - UNREFERENCED_PARAMETER(DeltaT); - - //Test out the AAGlobe class - double rhosintheta = CAAGlobe::RhoSinThetaPrime(33.356111, 1706); - UNREFERENCED_PARAMETER(rhosintheta); - double rhocostheta = CAAGlobe::RhoCosThetaPrime(33.356111, 1706); - UNREFERENCED_PARAMETER(rhocostheta); - double RadiusOfLatitude = CAAGlobe::RadiusOfParallelOfLatitude(42); - UNREFERENCED_PARAMETER(RadiusOfLatitude); - double RadiusOfCurvature = CAAGlobe::RadiusOfCurvature(42); - UNREFERENCED_PARAMETER(RadiusOfCurvature); - double Distance = CAAGlobe::DistanceBetweenPoints(CAACoordinateTransformation::DMSToDegrees(48, 50, 11), CAACoordinateTransformation::DMSToDegrees(2, 20, 14, false), - CAACoordinateTransformation::DMSToDegrees(38, 55, 17), CAACoordinateTransformation::DMSToDegrees(77, 3, 56)); - UNREFERENCED_PARAMETER(Distance); - - - double Distance1 = CAAGlobe::DistanceBetweenPoints(50, 0, 50, 60); - UNREFERENCED_PARAMETER(Distance1); - double Distance2 = CAAGlobe::DistanceBetweenPoints(50, 0, 50, 1); - UNREFERENCED_PARAMETER(Distance2); - double Distance3 = CAAGlobe::DistanceBetweenPoints(CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 0, CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 1); - UNREFERENCED_PARAMETER(Distance3); - double Distance4 = CAAGlobe::DistanceBetweenPoints(CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 0, CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 180); - UNREFERENCED_PARAMETER(Distance4); - double Distance5 = CAAGlobe::DistanceBetweenPoints(CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 0, CAACoordinateTransformation::DMSToDegrees(89, 59, 0), 90); - UNREFERENCED_PARAMETER(Distance5); - - - //Test out the AASidereal class - date.Set(1987, 4, 10, 0, 0, 0, true); - double MST = CAASidereal::MeanGreenwichSiderealTime(date.Julian()); - AST = CAASidereal::ApparentGreenwichSiderealTime(date.Julian()); - UNREFERENCED_PARAMETER(AST); - date.Set(1987, 4, 10, 19, 21, 0, true); - MST = CAASidereal::MeanGreenwichSiderealTime(date.Julian()); - UNREFERENCED_PARAMETER(MST); - - //Test out the AACoordinateTransformation class - CAA2DCoordinate Ecliptic = CAACoordinateTransformation::Equatorial2Ecliptic(CAACoordinateTransformation::DMSToDegrees(7, 45, 18.946), CAACoordinateTransformation::DMSToDegrees(28, 01, 34.26), 23.4392911); - Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(Ecliptic.X, Ecliptic.Y, 23.4392911); - CAA2DCoordinate Galactic = CAACoordinateTransformation::Equatorial2Galactic(CAACoordinateTransformation::DMSToDegrees(17, 48, 59.74), CAACoordinateTransformation::DMSToDegrees(14, 43, 8.2, false)); - CAA2DCoordinate Equatorial2 = CAACoordinateTransformation::Galactic2Equatorial(Galactic.X, Galactic.Y); - UNREFERENCED_PARAMETER(Equatorial2); - date.Set(1987, 4, 10, 19, 21, 0, true); - AST = CAASidereal::ApparentGreenwichSiderealTime(date.Julian()); - LongtitudeAsHourAngle = CAACoordinateTransformation::DegreesToHours(CAACoordinateTransformation::DMSToDegrees(77, 3, 56)); - double Alpha = CAACoordinateTransformation::DMSToDegrees(23, 9, 16.641); - LocalHourAngle = AST - LongtitudeAsHourAngle - Alpha; - CAA2DCoordinate Horizontal = CAACoordinateTransformation::Equatorial2Horizontal(LocalHourAngle, CAACoordinateTransformation::DMSToDegrees(6, 43, 11.61, false), CAACoordinateTransformation::DMSToDegrees(38, 55, 17)); - CAA2DCoordinate Equatorial3 = CAACoordinateTransformation::Horizontal2Equatorial(Horizontal.X, Horizontal.Y, CAACoordinateTransformation::DMSToDegrees(38, 55, 17)); - double alpha2 = CAACoordinateTransformation::MapTo0To24Range(AST - Equatorial3.X - LongtitudeAsHourAngle); - UNREFERENCED_PARAMETER(alpha2); - - //Test out the CAANutation class (on its own) - date.Set(1987, 4, 10, 0, 0, 0, true); - double Obliquity = CAANutation::MeanObliquityOfEcliptic(date.Julian()); - UNREFERENCED_PARAMETER(Obliquity); - double NutationInLongitude = CAANutation::NutationInLongitude(date.Julian()); - UNREFERENCED_PARAMETER(NutationInLongitude); - double NutationInEcliptic = CAANutation::NutationInObliquity(date.Julian()); - UNREFERENCED_PARAMETER(NutationInEcliptic); - - //Test out the CAAParallactic class - double HourAngle = CAAParallactic::ParallacticAngle(-3, 10, 20); - UNREFERENCED_PARAMETER(HourAngle); - double EclipticLongitude = CAAParallactic::EclipticLongitudeOnHorizon(5, 23.44, 51); - UNREFERENCED_PARAMETER(EclipticLongitude); - double EclipticAngle = CAAParallactic::AngleBetweenEclipticAndHorizon(5, 23.44, 51); - UNREFERENCED_PARAMETER(EclipticAngle); - double Angle = CAAParallactic::AngleBetweenNorthCelestialPoleAndNorthPoleOfEcliptic(90, 0, 23.44); - UNREFERENCED_PARAMETER(Angle); - - //Test out the CAARefraction class - double R1 = CAARefraction::RefractionFromApparent(0.5); - double R2 = CAARefraction::RefractionFromTrue(0.5 - R1 + CAACoordinateTransformation::DMSToDegrees(0, 32, 0)); - UNREFERENCED_PARAMETER(R2); - double R3 = CAARefraction::RefractionFromApparent(90); - UNREFERENCED_PARAMETER(R3); - - //Test out the CAAAngularSeparation class - double AngularSeparation = CAAAngularSeparation::Separation(CAACoordinateTransformation::DMSToDegrees(14, 15, 39.7), CAACoordinateTransformation::DMSToDegrees(19, 10, 57), - CAACoordinateTransformation::DMSToDegrees(13, 25, 11.6), CAACoordinateTransformation::DMSToDegrees(11, 9, 41, false)); - UNREFERENCED_PARAMETER(AngularSeparation); - double AngularSeparation2 = CAAAngularSeparation::Separation(CAACoordinateTransformation::DMSToDegrees(2, 0, 0), CAACoordinateTransformation::DMSToDegrees(0, 0, 0), - CAACoordinateTransformation::DMSToDegrees(2, 0, 0), CAACoordinateTransformation::DMSToDegrees(0, 0, 0)); - UNREFERENCED_PARAMETER(AngularSeparation2); - double AngularSeparation3 = CAAAngularSeparation::Separation(CAACoordinateTransformation::DMSToDegrees(2, 0, 0), CAACoordinateTransformation::DMSToDegrees(0, 0, 0), - CAACoordinateTransformation::DMSToDegrees(14, 0, 0), CAACoordinateTransformation::DMSToDegrees(0, 0, 0)); - UNREFERENCED_PARAMETER(AngularSeparation3); - - double PA0 = CAAAngularSeparation::PositionAngle(CAACoordinateTransformation::DMSToDegrees(5, 32, 0.4), CAACoordinateTransformation::DMSToDegrees(0, 17, 56.9, false), - CAACoordinateTransformation::DMSToDegrees(5, 36, 12.81), CAACoordinateTransformation::DMSToDegrees(1, 12, 7, false)); - UNREFERENCED_PARAMETER(PA0); - - double PA1 = CAAAngularSeparation::PositionAngle(CAACoordinateTransformation::DMSToDegrees(5, 40, 45.52), CAACoordinateTransformation::DMSToDegrees(1, 56, 33.3, false), - CAACoordinateTransformation::DMSToDegrees(5, 36, 12.81), CAACoordinateTransformation::DMSToDegrees(1, 12, 7, false)); - UNREFERENCED_PARAMETER(PA1); - - - double distance = CAAAngularSeparation::DistanceFromGreatArc(CAACoordinateTransformation::DMSToDegrees(5, 32, 0.4), CAACoordinateTransformation::DMSToDegrees(0, 17, 56.9, false), - CAACoordinateTransformation::DMSToDegrees(5, 40, 45.52), CAACoordinateTransformation::DMSToDegrees(1, 56, 33.3, false), - CAACoordinateTransformation::DMSToDegrees(5, 36, 12.81), CAACoordinateTransformation::DMSToDegrees(1, 12, 7, false)); - UNREFERENCED_PARAMETER(distance); - - bool bType1; - double separation = CAAAngularSeparation::SmallestCircle(CAACoordinateTransformation::DMSToDegrees(12, 41, 8.63), CAACoordinateTransformation::DMSToDegrees(5, 37, 54.2, false), - CAACoordinateTransformation::DMSToDegrees(12, 52, 5.21), CAACoordinateTransformation::DMSToDegrees(4, 22, 26.2, false), - CAACoordinateTransformation::DMSToDegrees(12, 39, 28.11), CAACoordinateTransformation::DMSToDegrees(1, 50, 3.7, false), bType1); - - separation = CAAAngularSeparation::SmallestCircle(CAACoordinateTransformation::DMSToDegrees(9, 5, 41.44), CAACoordinateTransformation::DMSToDegrees(18, 30, 30), - CAACoordinateTransformation::DMSToDegrees(9, 9, 29), CAACoordinateTransformation::DMSToDegrees(17, 43, 56.7), - CAACoordinateTransformation::DMSToDegrees(8, 59, 47.14), CAACoordinateTransformation::DMSToDegrees(17, 49, 36.8), bType1); - UNREFERENCED_PARAMETER(separation); - - Alpha = CAACoordinateTransformation::DMSToDegrees(2, 44, 11.986); - double Delta = CAACoordinateTransformation::DMSToDegrees(49, 13, 42.48); - CAA2DCoordinate PA = CAAPrecession::AdjustPositionUsingUniformProperMotion((2462088.69-2451545)/365.25, Alpha, Delta, 0.03425, -0.0895); - - CAA2DCoordinate Precessed = CAAPrecession::PrecessEquatorial(PA.X, PA.Y, 2451545, 2462088.69); - UNREFERENCED_PARAMETER(Precessed); - - Alpha = CAACoordinateTransformation::DMSToDegrees(2, 31, 48.704); - Delta = CAACoordinateTransformation::DMSToDegrees(89, 15, 50.72); - CAA2DCoordinate PA2 = CAAPrecession::AdjustPositionUsingUniformProperMotion((2415020.3135-2451545)/365.25, Alpha, Delta, 0.19877, -0.0152); - //CAA2DCoordinate Precessed2 = CAAPrecession::PrecessEquatorialFK4(PA2.X, PA2.Y, 2451545, 2415020.3135); - UNREFERENCED_PARAMETER(PA2); - - CAA2DCoordinate PM = CAAPrecession::EquatorialPMToEcliptic(0, 0, 0, 1, 1, 23); - UNREFERENCED_PARAMETER(PM); - - - CAA2DCoordinate PA3 = CAAPrecession::AdjustPositionUsingMotionInSpace(2.64, -7.6, -1000, CAACoordinateTransformation::DMSToDegrees(6, 45, 8.871), CAACoordinateTransformation::DMSToDegrees(16, 42, 57.99, false), -0.03847, -1.2053); - UNREFERENCED_PARAMETER(PA3); - CAA2DCoordinate PA4 = CAAPrecession::AdjustPositionUsingUniformProperMotion(-1000, CAACoordinateTransformation::DMSToDegrees(6, 45, 8.871), CAACoordinateTransformation::DMSToDegrees(16, 42, 57.99, false), -0.03847, -1.2053); - UNREFERENCED_PARAMETER(PA4); - - CAA2DCoordinate PA5 = CAAPrecession::AdjustPositionUsingMotionInSpace(2.64, -7.6, -12000, CAACoordinateTransformation::DMSToDegrees(6, 45, 8.871), CAACoordinateTransformation::DMSToDegrees(16, 42, 57.99, false), -0.03847, -1.2053); - UNREFERENCED_PARAMETER(PA5); - CAA2DCoordinate PA6 = CAAPrecession::AdjustPositionUsingUniformProperMotion(-12000, CAACoordinateTransformation::DMSToDegrees(6, 45, 8.871), CAACoordinateTransformation::DMSToDegrees(16, 42, 57.99, false), -0.03847, -1.2053); - UNREFERENCED_PARAMETER(PA6); - - Alpha = CAACoordinateTransformation::DMSToDegrees(2, 44, 11.986); - Delta = CAACoordinateTransformation::DMSToDegrees(49, 13, 42.48); - CAA2DCoordinate PA7 = CAAPrecession::AdjustPositionUsingUniformProperMotion((2462088.69-2451545)/365.25, Alpha, Delta, 0.03425, -0.0895); - CAA3DCoordinate EarthVelocity = CAAAberration::EarthVelocity(2462088.69, false); - UNREFERENCED_PARAMETER(EarthVelocity); - CAA3DCoordinate EarthVelocity2 = CAAAberration::EarthVelocity(2462088.69, true); - UNREFERENCED_PARAMETER(EarthVelocity2); - CAA2DCoordinate Aberration = CAAAberration::EquatorialAberration(PA7.X, PA7.Y, 2462088.69, false); - PA7.X += Aberration.X; - PA7.Y += Aberration.Y; - CAA2DCoordinate Aberration2 = CAAAberration::EquatorialAberration(PA7.X, PA7.Y, 2462088.69, true); - UNREFERENCED_PARAMETER(Aberration2); - PA7 = CAAPrecession::PrecessEquatorial(PA7.X, PA7.Y, 2451545, 2462088.69); - - Obliquity = CAANutation::MeanObliquityOfEcliptic(2462088.69); - NutationInLongitude = CAANutation::NutationInLongitude(2462088.69); - NutationInEcliptic = CAANutation::NutationInObliquity(2462088.69); - double AlphaNutation = CAANutation::NutationInRightAscension(PA7.X, PA7.Y, Obliquity, NutationInLongitude, NutationInEcliptic); - double DeltaNutation = CAANutation::NutationInDeclination(PA7.X, Obliquity, NutationInLongitude, NutationInEcliptic); - PA7.X += CAACoordinateTransformation::DMSToDegrees(0, 0, AlphaNutation/15); - PA7.Y += CAACoordinateTransformation::DMSToDegrees(0, 0, DeltaNutation); - - - //Try out the AA kepler class - double E0 = CAAKepler::Calculate(5, 0.1, 100); - UNREFERENCED_PARAMETER(E0); - double E02 = CAAKepler::Calculate(5, 0.9, 100); - UNREFERENCED_PARAMETER(E02); - //double E03 = CAAKepler::Calculate( - - - //Try out the binary star class - CAABinaryStarDetails bsdetails = CAABinaryStar::Calculate(1980, 41.623, 1934.008, 0.2763, 0.907, 59.025, 23.717, 219.907); - UNREFERENCED_PARAMETER(bsdetails); - double ApparentE = CAABinaryStar::ApparentEccentricity(0.2763, 59.025, 219.907); - UNREFERENCED_PARAMETER(ApparentE); - - - //Test out the CAAStellarMagnitudes class - double CombinedMag = CAAStellarMagnitudes::CombinedMagnitude(1.96, 2.89); - UNREFERENCED_PARAMETER(CombinedMag); - double Mags[] = { 4.73, 5.22, 5.60 }; - double CombinedMag2 = CAAStellarMagnitudes::CombinedMagnitude(3, Mags); - UNREFERENCED_PARAMETER(CombinedMag2); - double BrightnessRatio = CAAStellarMagnitudes::BrightnessRatio(0.14, 2.12); - double MagDiff = CAAStellarMagnitudes::MagnitudeDifference(BrightnessRatio); - UNREFERENCED_PARAMETER(MagDiff); - double MagDiff2 = CAAStellarMagnitudes::MagnitudeDifference(500); - UNREFERENCED_PARAMETER(MagDiff2); - - - //Test out the CAAVenus class - double VenusLong = CAAVenus::EclipticLongitude(2448976.5, false); - UNREFERENCED_PARAMETER(VenusLong); - double VenusLong2 = CAAVenus::EclipticLongitude(2448976.5, true); - UNREFERENCED_PARAMETER(VenusLong2); - double VenusLat = CAAVenus::EclipticLatitude(2448976.5, false); - UNREFERENCED_PARAMETER(VenusLat); - double VenusLat2 = CAAVenus::EclipticLatitude(2448976.5, true); - UNREFERENCED_PARAMETER(VenusLat2); - double VenusRadius = CAAVenus::RadiusVector(2448976.5, false); - UNREFERENCED_PARAMETER(VenusRadius); - double VenusRadius2 = CAAVenus::RadiusVector(2448976.5, true); - UNREFERENCED_PARAMETER(VenusRadius2); - - - //Test out the CAAMercury class - double MercuryLong = CAAMercury::EclipticLongitude(2448976.5, false); - UNREFERENCED_PARAMETER(MercuryLong); - double MercuryLong2 = CAAMercury::EclipticLongitude(2448976.5, true); - UNREFERENCED_PARAMETER(MercuryLong2); - double MercuryLat = CAAMercury::EclipticLatitude(2448976.5, false); - UNREFERENCED_PARAMETER(MercuryLat); - double MercuryLat2 = CAAMercury::EclipticLatitude(2448976.5, true); - UNREFERENCED_PARAMETER(MercuryLat2); - double MercuryRadius = CAAMercury::RadiusVector(2448976.5, false); - UNREFERENCED_PARAMETER(MercuryRadius); - double MercuryRadius2 = CAAMercury::RadiusVector(2448976.5, true); - UNREFERENCED_PARAMETER(MercuryRadius2); - - - //Test out the CAAEarth class - double EarthLong = CAAEarth::EclipticLongitude(2448908.5, false); - UNREFERENCED_PARAMETER(EarthLong); - double EarthLong2 = CAAEarth::EclipticLongitude(2448908.5, true); - UNREFERENCED_PARAMETER(EarthLong2); - double EarthLat = CAAEarth::EclipticLatitude(2448908.5, false); - UNREFERENCED_PARAMETER(EarthLat); - double EarthLat2 = CAAEarth::EclipticLatitude(2448908.5, true); - UNREFERENCED_PARAMETER(EarthLat2); - double EarthRadius = CAAEarth::RadiusVector(2448908.5, false); - UNREFERENCED_PARAMETER(EarthRadius); - double EarthRadius2 = CAAEarth::RadiusVector(2448908.5, true); - UNREFERENCED_PARAMETER(EarthRadius2); - - double EarthLong3 = CAAEarth::EclipticLongitudeJ2000(2448908.5, false); - UNREFERENCED_PARAMETER(EarthLong3); - double EarthLong4 = CAAEarth::EclipticLongitudeJ2000(2448908.5, true); - UNREFERENCED_PARAMETER(EarthLong4); - double EarthLat3 = CAAEarth::EclipticLatitudeJ2000(2448908.5, false); - UNREFERENCED_PARAMETER(EarthLat3); - double EarthLat4 = CAAEarth::EclipticLatitudeJ2000(2448908.5, true); - UNREFERENCED_PARAMETER(EarthLat4); - - - //Test out the CAASun class - SunLong = CAASun::GeometricEclipticLongitude(2448908.5, false); - SunLong2 = CAASun::GeometricEclipticLongitude(2448908.5, true); - UNREFERENCED_PARAMETER(SunLong2); - SunLat = CAASun::GeometricEclipticLatitude(2448908.5, false); - SunLat2 = CAASun::GeometricEclipticLatitude(2448908.5, true); - UNREFERENCED_PARAMETER(SunLat2); - - double SunLongCorrection = CAAFK5::CorrectionInLongitude(SunLong, SunLat, 2448908.5); - UNREFERENCED_PARAMETER(SunLongCorrection); - double SunLatCorrection = CAAFK5::CorrectionInLatitude(SunLong, 2448908.5); - UNREFERENCED_PARAMETER(SunLatCorrection); - - SunLong = CAASun::ApparentEclipticLongitude(2448908.5, false); - SunLong2 = CAASun::ApparentEclipticLongitude(2448908.5, true); - SunLat = CAASun::ApparentEclipticLatitude(2448908.5, false); - SunLat2 = CAASun::ApparentEclipticLatitude(2448908.5, true); - Equatorial = CAACoordinateTransformation::Ecliptic2Equatorial(SunLong, SunLat, CAANutation::TrueObliquityOfEcliptic(2448908.5)); - - CAA3DCoordinate SunCoord = CAASun::EquatorialRectangularCoordinatesMeanEquinox(2448908.5, false); - UNREFERENCED_PARAMETER(SunCoord); - CAA3DCoordinate SunCoord2 = CAASun::EquatorialRectangularCoordinatesMeanEquinox(2448908.5, true); - UNREFERENCED_PARAMETER(SunCoord2); - CAA3DCoordinate SunCoord3 = CAASun::EquatorialRectangularCoordinatesJ2000(2448908.5, false); - UNREFERENCED_PARAMETER(SunCoord3); - CAA3DCoordinate SunCoord4 = CAASun::EquatorialRectangularCoordinatesJ2000(2448908.5, true); - UNREFERENCED_PARAMETER(SunCoord4); - CAA3DCoordinate SunCoord5 = CAASun::EquatorialRectangularCoordinatesAnyEquinox(2448908.5, 2467616.0, false); - UNREFERENCED_PARAMETER(SunCoord5); - CAA3DCoordinate SunCoord6 = CAASun::EquatorialRectangularCoordinatesAnyEquinox(2448908.5, 2467616.0, true); - UNREFERENCED_PARAMETER(SunCoord6); - CAA3DCoordinate SunCoord7 = CAASun::EquatorialRectangularCoordinatesMeanEquinox(2448908.5, false); - UNREFERENCED_PARAMETER(SunCoord7); - CAA3DCoordinate SunCoord8 = CAASun::EquatorialRectangularCoordinatesMeanEquinox(2448908.5, true); - UNREFERENCED_PARAMETER(SunCoord8); - CAA3DCoordinate SunCoord9 = CAASun::EquatorialRectangularCoordinatesB1950(2448908.5, false); - UNREFERENCED_PARAMETER(SunCoord9); - CAA3DCoordinate SunCoord10 = CAASun::EquatorialRectangularCoordinatesB1950(2448908.5, true); - UNREFERENCED_PARAMETER(SunCoord10); - - - //Test out the CAAMars class - double MarsLong = CAAMars::EclipticLongitude(2448935.500683, false); - UNREFERENCED_PARAMETER(MarsLong); - double MarsLong2 = CAAMars::EclipticLongitude(2448935.500683, true); - UNREFERENCED_PARAMETER(MarsLong2); - double MarsLat = CAAMars::EclipticLatitude(2448935.500683, false); - UNREFERENCED_PARAMETER(MarsLat); - double MarsLat2 = CAAMars::EclipticLatitude(2448935.500683, true); - UNREFERENCED_PARAMETER(MarsLat2); - double MarsRadius = CAAMars::RadiusVector(2448935.500683, false); - UNREFERENCED_PARAMETER(MarsRadius); - double MarsRadius2 = CAAMars::RadiusVector(2448935.500683, true); - UNREFERENCED_PARAMETER(MarsRadius2); - - - //Test out the CAAJupiter class - double JupiterLong = CAAJupiter::EclipticLongitude(2448972.50068, false); - UNREFERENCED_PARAMETER(JupiterLong); - double JupiterLong2 = CAAJupiter::EclipticLongitude(2448972.50068, true); - UNREFERENCED_PARAMETER(JupiterLong2); - double JupiterLat = CAAJupiter::EclipticLatitude(2448972.50068, false); - UNREFERENCED_PARAMETER(JupiterLat); - double JupiterLat2 = CAAJupiter::EclipticLatitude(2448972.50068, true); - UNREFERENCED_PARAMETER(JupiterLat2); - double JupiterRadius = CAAJupiter::RadiusVector(2448972.50068, false); - UNREFERENCED_PARAMETER(JupiterRadius); - double JupiterRadius2 = CAAJupiter::RadiusVector(2448972.50068, true); - UNREFERENCED_PARAMETER(JupiterRadius2); - - - //Test out the CAANeptune class - double NeptuneLong = CAANeptune::EclipticLongitude(2448935.500683, false); - UNREFERENCED_PARAMETER(NeptuneLong); - double NeptuneLong2 = CAANeptune::EclipticLongitude(2448935.500683, true); - UNREFERENCED_PARAMETER(NeptuneLong2); - double NeptuneLat = CAANeptune::EclipticLatitude(2448935.500683, false); - UNREFERENCED_PARAMETER(NeptuneLat); - double NeptuneLat2 = CAANeptune::EclipticLatitude(2448935.500683, true); - UNREFERENCED_PARAMETER(NeptuneLat2); - double NeptuneRadius = CAANeptune::RadiusVector(2448935.500683, false); - UNREFERENCED_PARAMETER(NeptuneRadius); - double NeptuneRadius2 = CAANeptune::RadiusVector(2448935.500683, true); - UNREFERENCED_PARAMETER(NeptuneRadius2); - - - //Test out the CAAUranus class - double UranusLong = CAAUranus::EclipticLongitude(2448976.5, false); - UNREFERENCED_PARAMETER(UranusLong); - double UranusLong2 = CAAUranus::EclipticLongitude(2448976.5, true); - UNREFERENCED_PARAMETER(UranusLong2); - double UranusLat = CAAUranus::EclipticLatitude(2448976.5, false); - UNREFERENCED_PARAMETER(UranusLat); - double UranusLat2 = CAAUranus::EclipticLatitude(2448976.5, true); - UNREFERENCED_PARAMETER(UranusLat2); - double UranusRadius = CAAUranus::RadiusVector(2448976.5, false); - UNREFERENCED_PARAMETER(UranusRadius); - double UranusRadius2 = CAAUranus::RadiusVector(2448976.5, true); - UNREFERENCED_PARAMETER(UranusRadius2); - - - //Test out the CAASaturn class - double SaturnLong = CAASaturn::EclipticLongitude(2448972.50068, false); - UNREFERENCED_PARAMETER(SaturnLong); - double SaturnLong2 = CAASaturn::EclipticLongitude(2448972.50068, true); - UNREFERENCED_PARAMETER(SaturnLong2); - double SaturnLat = CAASaturn::EclipticLatitude(2448972.50068, false); - UNREFERENCED_PARAMETER(SaturnLat); - double SaturnLat2 = CAASaturn::EclipticLatitude(2448972.50068, true); - UNREFERENCED_PARAMETER(SaturnLat2); - double SaturnRadius = CAASaturn::RadiusVector(2448972.50068, false); - UNREFERENCED_PARAMETER(SaturnRadius); - double SaturnRadius2 = CAASaturn::RadiusVector(2448972.50068, true); - UNREFERENCED_PARAMETER(SaturnRadius2); - - SaturnLong = CAASaturn::EclipticLongitude(2451385.5, false); - SaturnLong2 = CAASaturn::EclipticLongitude(2451385.5, true); - SaturnLat = CAASaturn::EclipticLatitude(2451385.5, false); - SaturnLat2 = CAASaturn::EclipticLatitude(2451385.5, true); - SaturnRadius = CAASaturn::RadiusVector(2451385.5, false); - SaturnRadius2 = CAASaturn::RadiusVector(2451385.5, true); - - - - //Test out the CAAPluto class - double PlutoLong = CAAPluto::EclipticLongitude(2448908.5); - UNREFERENCED_PARAMETER(PlutoLong); - double PlutoLat = CAAPluto::EclipticLatitude(2448908.5); - UNREFERENCED_PARAMETER(PlutoLat); - double PlutoRadius = CAAPluto::RadiusVector(2448908.5); - UNREFERENCED_PARAMETER(PlutoRadius); - - - //Test out the CAAMoon class - MoonLong = CAAMoon::EclipticLongitude(2448724.5); - MoonLat = CAAMoon::EclipticLatitude(2448724.5); - double MoonRadius = CAAMoon::RadiusVector(2448724.5); - double MoonParallax = CAAMoon::RadiusVectorToHorizontalParallax(MoonRadius); - UNREFERENCED_PARAMETER(MoonParallax); - double MoonMeanAscendingNode = CAAMoon::MeanLongitudeAscendingNode(2448724.5); - UNREFERENCED_PARAMETER(MoonMeanAscendingNode); - double TrueMeanAscendingNode = CAAMoon::TrueLongitudeAscendingNode(2448724.5); - UNREFERENCED_PARAMETER(TrueMeanAscendingNode); - double MoonMeanPerigee = CAAMoon::MeanLongitudePerigee(2448724.5); - UNREFERENCED_PARAMETER(MoonMeanPerigee); - - //Test out the CAAPlanetPerihelionAphelion class - long VenusK = CAAPlanetPerihelionAphelion::VenusK(1978.79); - double VenusPerihelion = CAAPlanetPerihelionAphelion::VenusPerihelion(VenusK); - UNREFERENCED_PARAMETER(VenusPerihelion); - - long MarsK = CAAPlanetPerihelionAphelion::MarsK(2032); - double MarsAphelion = CAAPlanetPerihelionAphelion::MarsAphelion(MarsK); - UNREFERENCED_PARAMETER(MarsAphelion); - - long SaturnK = CAAPlanetPerihelionAphelion::SaturnK(1925); - double SaturnAphelion = CAAPlanetPerihelionAphelion::SaturnAphelion(SaturnK); - UNREFERENCED_PARAMETER(SaturnAphelion); - SaturnK = CAAPlanetPerihelionAphelion::SaturnK(1940); - double SaturnPerihelion = CAAPlanetPerihelionAphelion::SaturnPerihelion(SaturnK); - UNREFERENCED_PARAMETER(SaturnPerihelion); - - long UranusK = CAAPlanetPerihelionAphelion::UranusK(1750); - double UranusAphelion = CAAPlanetPerihelionAphelion::UranusAphelion(UranusK); - UNREFERENCED_PARAMETER(UranusAphelion); - UranusK = CAAPlanetPerihelionAphelion::UranusK(1890); - double UranusPerihelion = CAAPlanetPerihelionAphelion::UranusPerihelion(UranusK); - UranusK = CAAPlanetPerihelionAphelion::UranusK(2060); - UranusPerihelion = CAAPlanetPerihelionAphelion::UranusPerihelion(UranusK); - UNREFERENCED_PARAMETER(UranusPerihelion); - - double EarthPerihelion = CAAPlanetPerihelionAphelion::EarthPerihelion(-10, true); - UNREFERENCED_PARAMETER(EarthPerihelion); - double EarthPerihelion2 = CAAPlanetPerihelionAphelion::EarthPerihelion(-10, false); - UNREFERENCED_PARAMETER(EarthPerihelion2); - - - //Test out the CAAMoonPerigeeApogee - double MoonK = CAAMoonPerigeeApogee::K(1988.75); - double MoonApogee = CAAMoonPerigeeApogee::MeanApogee(-148.5); - UNREFERENCED_PARAMETER(MoonApogee); - double MoonApogee2 = CAAMoonPerigeeApogee::TrueApogee(-148.5); - UNREFERENCED_PARAMETER(MoonApogee2); - double MoonApogeeParallax = CAAMoonPerigeeApogee::ApogeeParallax(-148.5); - double MoonApogeeDistance = CAAMoon::HorizontalParallaxToRadiusVector(MoonApogeeParallax); - UNREFERENCED_PARAMETER(MoonApogeeDistance); - MoonK = CAAMoonPerigeeApogee::K(2015 + 9.0/12); - MoonApogee = CAAMoonPerigeeApogee::MeanApogee(208.5); //Corresponds to Moon Apogee around September 2015 - MoonApogee = CAADynamicalTime::TT2UTC(MoonApogee); - MoonApogee2 = CAAMoonPerigeeApogee::TrueApogee(208.5); - MoonApogee2 = CAADynamicalTime::TT2UTC(MoonApogee2); - MoonApogeeParallax = CAAMoonPerigeeApogee::ApogeeParallax(208.5); - MoonApogeeDistance = CAAMoon::HorizontalParallaxToRadiusVector(MoonApogeeParallax); - MoonK = CAAMoonPerigeeApogee::K(1990.9); - double MoonPerigee = CAAMoonPerigeeApogee::MeanPerigee(-120); - UNREFERENCED_PARAMETER(MoonPerigee); - double MoonPerigee2 = CAAMoonPerigeeApogee::TruePerigee(-120); - UNREFERENCED_PARAMETER(MoonPerigee2); - MoonK = CAAMoonPerigeeApogee::K(1930.0); - UNREFERENCED_PARAMETER(MoonK); - double MoonPerigee3 = CAAMoonPerigeeApogee::TruePerigee(-927); - UNREFERENCED_PARAMETER(MoonPerigee3); - double MoonPerigeeParallax = CAAMoonPerigeeApogee::PerigeeParallax(-927); - double MoonRadiusVector = CAAMoon::HorizontalParallaxToRadiusVector(MoonPerigeeParallax); - UNREFERENCED_PARAMETER(MoonRadiusVector); - double MoonRadiusVector2 = CAAMoon::HorizontalParallaxToRadiusVector(0.991990); - double MoonParallax2 = CAAMoon::RadiusVectorToHorizontalParallax(MoonRadiusVector2); - UNREFERENCED_PARAMETER(MoonParallax2); - - - //Test out the CAAEclipticalElements class - CAAEclipticalElementDetails ed1 = CAAEclipticalElements::Calculate(47.1220, 151.4486, 45.7481, 2358042.5305, 2433282.4235); - UNREFERENCED_PARAMETER(ed1); - CAAEclipticalElementDetails ed2 = CAAEclipticalElements::Calculate(11.93911, 186.24444, 334.04096, 2433282.4235, 2451545.0); - UNREFERENCED_PARAMETER(ed2); - CAAEclipticalElementDetails ed3 = CAAEclipticalElements::FK4B1950ToFK5J2000(11.93911, 186.24444, 334.04096); - UNREFERENCED_PARAMETER(ed3); - CAAEclipticalElementDetails ed4 = CAAEclipticalElements::FK4B1950ToFK5J2000(145, 186.24444, 334.04096); - UNREFERENCED_PARAMETER(ed4); - - - //Test out the CAAEquationOfTime class - double E = CAAEquationOfTime::Calculate(2448908.5, false); - UNREFERENCED_PARAMETER(E); - double E2 = CAAEquationOfTime::Calculate(2448908.5, true); - UNREFERENCED_PARAMETER(E2); - - - //Test out the CAAPhysicalSun class - CAAPhysicalSunDetails psd = CAAPhysicalSun::Calculate(2448908.50068, false); - UNREFERENCED_PARAMETER(psd); - CAAPhysicalSunDetails psd2 = CAAPhysicalSun::Calculate(2448908.50068, true); - UNREFERENCED_PARAMETER(psd2); - double JED = CAAPhysicalSun::TimeOfStartOfRotation(1699); - UNREFERENCED_PARAMETER(JED); - - - //Test out the CAAEquinoxesAndSolstices class - for (Year = 1962; Year < 2021; Year++) - { - double NorthwardEquinox = CAAEquinoxesAndSolstices::NorthwardEquinox(Year, false); - double NorthwardEquinox4 = CAAEquinoxesAndSolstices::NorthwardEquinox(Year, true); - UNREFERENCED_PARAMETER(NorthwardEquinox4); - - //For testing purposes lets also try out the various timeframe mapping methods of CAADynamicalTime for the "NorthwardEquinox" values - printf("Testing TT -> UTC roundtripping\n"); - date.Set(NorthwardEquinox, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - double NorthwardEquinox2 = CAADynamicalTime::TT2UTC(NorthwardEquinox); - date.Set(NorthwardEquinox2, true); - long Year2 = 0; - long Month2 = 0; - long Day2 = 0; - long Hour2 = 0; - long Minute2 = 0; - double Second2 = 0; - date.Get(Year2, Month2, Day2, Hour2, Minute2, Second2); - printf("%d-%d-%d %02d:%02d:%f TT is %d-%d-%d %02d:%02d:%f UTC\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second, - static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2); - double NorthwardEquinox3 = CAADynamicalTime::UTC2TT(NorthwardEquinox2); - date.Set(NorthwardEquinox3, true); - long Year3 = 0; - long Month3 = 0; - long Day3 = 0; - long Hour3 = 0; - long Minute3 = 0; - double Second3 = 0; - date.Get(Year3, Month3, Day3, Hour3, Minute3, Second3); - printf("%d-%d-%d %02d:%02d:%f UTC is %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2, - static_cast(Year3), static_cast(Month3), static_cast(Day3), static_cast(Hour3), static_cast(Minute3), Second3); - - NorthwardEquinox2 = CAADynamicalTime::TT2TAI(NorthwardEquinox); - date.Set(NorthwardEquinox2, true); - date.Get(Year2, Month2, Day2, Hour2, Minute2, Second2); - printf("%d-%d-%d %02d:%02d:%f TT is %d-%d-%d %02d:%02d:%f TAI\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second, - static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2); - - NorthwardEquinox3 = CAADynamicalTime::TAI2TT(NorthwardEquinox2); - date.Set(NorthwardEquinox3, true); - date.Get(Year3, Month3, Day3, Hour3, Minute3, Second3); - printf("%d-%d-%d %02d:%02d:%f TAI is %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2, - static_cast(Year3), static_cast(Month3), static_cast(Day3), static_cast(Hour3), static_cast(Minute3), Second3); - - NorthwardEquinox2 = CAADynamicalTime::TT2UT1(NorthwardEquinox); - date.Set(NorthwardEquinox2, true); - date.Get(Year2, Month2, Day2, Hour2, Minute2, Second2); - printf("%d-%d-%d %02d:%02d:%f TT is %d-%d-%d %02d:%02d:%f UT1\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second, - static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2); - - NorthwardEquinox3 = CAADynamicalTime::UT12TT(NorthwardEquinox2); - date.Set(NorthwardEquinox3, true); - date.Get(Year3, Month3, Day3, Hour3, Minute3, Second3); - printf("%d-%d-%d %02d:%02d:%f UT1 is %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year2), static_cast(Month2), static_cast(Day2), static_cast(Hour2), static_cast(Minute2), Second2, - static_cast(Year3), static_cast(Month3), static_cast(Day3), static_cast(Hour3), static_cast(Minute3), Second3); - - date.Set(NorthwardEquinox, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Northward Equinox for %d occurs on %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - NorthwardEquinox = CAADynamicalTime::TT2UTC(NorthwardEquinox); - date.Set(NorthwardEquinox, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Northward Equinox for %d occurs on %d-%d-%d %02d:%02d:%f UTC\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - - double NorthernSolstice = CAAEquinoxesAndSolstices::NorthernSolstice(Year, false); - double NorthernSolstice2 = CAAEquinoxesAndSolstices::NorthernSolstice(Year, true); - UNREFERENCED_PARAMETER(NorthernSolstice2); - date.Set(NorthernSolstice, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Northern Solstice for %d occurs on %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - NorthernSolstice = CAADynamicalTime::TT2UTC(NorthernSolstice); - date.Set(NorthernSolstice, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Northern Solstice for %d occurs on %d-%d-%d %02d:%02d:%f UTC\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - - double SouthwardEquinox = CAAEquinoxesAndSolstices::SouthwardEquinox(Year, false); - double SouthwardEquinox2 = CAAEquinoxesAndSolstices::SouthwardEquinox(Year, true); - UNREFERENCED_PARAMETER(SouthwardEquinox2); - date.Set(SouthwardEquinox, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Southward Equinox for %d occurs on %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - SouthwardEquinox = CAADynamicalTime::TT2UTC(SouthwardEquinox); - date.Set(SouthwardEquinox, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Southward Equinox for %d occurs on %d-%d-%d %02d:%02d:%f UTC\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - - double SouthernSolstice = CAAEquinoxesAndSolstices::SouthernSolstice(Year, false); - double SouthernSolstice2 = CAAEquinoxesAndSolstices::SouthernSolstice(Year, true); - UNREFERENCED_PARAMETER(SouthernSolstice2); - date.Set(SouthernSolstice, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Southern Solstice for %d occurs on %d-%d-%d %02d:%02d:%f TT\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - SouthernSolstice = CAADynamicalTime::TT2UTC(SouthernSolstice); - date.Set(SouthernSolstice, true); - date.Get(Year, Month, Day, Hour, Minute, Second); - printf("The Southern Solstice for %d occurs on %d-%d-%d %02d:%02d:%f UTC\n", static_cast(Year), static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), Second); - - double SeasonLength = CAAEquinoxesAndSolstices::LengthOfSpring(Year, true, false); - double SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfSpring(Year, true, true); - UNREFERENCED_PARAMETER(SeasonLength2); - printf("Spring (for a northern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfSummer(Year, true, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfSummer(Year, true, true); - printf("Summer (for a northern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfAutumn(Year, true, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfAutumn(Year, true, true); - printf("Autumn/Fall (for a northern Hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfWinter(Year, true, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfWinter(Year, true, true); - printf("Winter (for a northern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfSpring(Year, false, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfSpring(Year, false, true); - printf("Spring (for a southern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfSummer(Year, false, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfSummer(Year, false, true); - printf("Summer (for a southern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfAutumn(Year, false, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfAutumn(Year, false, true); - printf("Autumn/Fall (for a southern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - SeasonLength = CAAEquinoxesAndSolstices::LengthOfWinter(Year, false, false); - SeasonLength2 = CAAEquinoxesAndSolstices::LengthOfWinter(Year, false, true); - printf("Winter (for a southern hemisphere observer) in %d is %f days\n", static_cast(Year), SeasonLength); - } - - double SpringLength2 = CAAEquinoxesAndSolstices::LengthOfSpring(-2000, true, false); - double SpringLength3 = CAAEquinoxesAndSolstices::LengthOfSpring(-2000, true, true); - double SummerLength2 = CAAEquinoxesAndSolstices::LengthOfSummer(-2000, true, false); - double SummerLength3 = CAAEquinoxesAndSolstices::LengthOfSummer(-2000, true, true); - double AutumnLength2 = CAAEquinoxesAndSolstices::LengthOfAutumn(-2000, true, false); - double AutumnLength3 = CAAEquinoxesAndSolstices::LengthOfAutumn(-2000, true, true); - double WinterLength2 = CAAEquinoxesAndSolstices::LengthOfWinter(-2000, true, false); - double WinterLength3 = CAAEquinoxesAndSolstices::LengthOfWinter(-2000, true, true); - SpringLength2 = CAAEquinoxesAndSolstices::LengthOfSpring(4000, true, false); - UNREFERENCED_PARAMETER(SpringLength2); - SpringLength3 = CAAEquinoxesAndSolstices::LengthOfSpring(4000, true, true); - UNREFERENCED_PARAMETER(SpringLength3); - SummerLength2 = CAAEquinoxesAndSolstices::LengthOfSummer(4000, true, false); - UNREFERENCED_PARAMETER(SummerLength2); - SummerLength3 = CAAEquinoxesAndSolstices::LengthOfSummer(4000, true, true); - UNREFERENCED_PARAMETER(SummerLength3); - AutumnLength2 = CAAEquinoxesAndSolstices::LengthOfAutumn(4000, true, false); - UNREFERENCED_PARAMETER(AutumnLength2); - AutumnLength3 = CAAEquinoxesAndSolstices::LengthOfAutumn(4000, true, true); - UNREFERENCED_PARAMETER(AutumnLength3); - WinterLength2 = CAAEquinoxesAndSolstices::LengthOfWinter(4000, true, false); - UNREFERENCED_PARAMETER(WinterLength2); - WinterLength3 = CAAEquinoxesAndSolstices::LengthOfWinter(4000, true, true); - UNREFERENCED_PARAMETER(WinterLength3); - - - //Test out the CAAElementsPlanetaryOrbit class - double Mer_L = CAAElementsPlanetaryOrbit::MercuryMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Mer_L); - double Mer_a = CAAElementsPlanetaryOrbit::MercurySemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Mer_a); - Mer_a = CAAElementsPlanetaryOrbit::MercurySemimajorAxis(2451545); - double Mer_e = CAAElementsPlanetaryOrbit::MercuryEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Mer_e); - double Mer_i = CAAElementsPlanetaryOrbit::MercuryInclination(2475460.5); - UNREFERENCED_PARAMETER(Mer_i); - double Mer_omega = CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Mer_omega); - double Mer_pi = CAAElementsPlanetaryOrbit::MercuryLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Mer_pi); - - double Ven_L = CAAElementsPlanetaryOrbit::VenusMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Ven_L); - double Ven_a = CAAElementsPlanetaryOrbit::VenusSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Ven_a); - Ven_a = CAAElementsPlanetaryOrbit::VenusSemimajorAxis(2451545); - double Ven_e = CAAElementsPlanetaryOrbit::VenusEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Ven_e); - Ven_e = CAAElementsPlanetaryOrbit::VenusEccentricity(2451545); - double Ven_i = CAAElementsPlanetaryOrbit::VenusInclination(2475460.5); - UNREFERENCED_PARAMETER(Ven_i); - double Ven_omega = CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Ven_omega); - double Ven_pi = CAAElementsPlanetaryOrbit::VenusLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Ven_pi); - - double Ea_L = CAAElementsPlanetaryOrbit::EarthMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Ea_L); - double Ea_a = CAAElementsPlanetaryOrbit::EarthSemimajorAxis(2451545); - UNREFERENCED_PARAMETER(Ea_a); - Ea_a = CAAElementsPlanetaryOrbit::EarthSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Ea_a); - double Ea_e = CAAElementsPlanetaryOrbit::EarthEccentricity(2475460.5); - Ea_e = CAAElementsPlanetaryOrbit::EarthEccentricity(2451545); - UNREFERENCED_PARAMETER(Ea_e); - double Ea_i = CAAElementsPlanetaryOrbit::EarthInclination(2475460.5); - UNREFERENCED_PARAMETER(Ea_i); - double Ea_pi = CAAElementsPlanetaryOrbit::EarthLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Ea_pi); - - double Mars_L = CAAElementsPlanetaryOrbit::MarsMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Mars_L); - double Mars_a = CAAElementsPlanetaryOrbit::MarsSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Mars_a); - Mars_a = CAAElementsPlanetaryOrbit::MarsSemimajorAxis(2451545); - double Mars_e = CAAElementsPlanetaryOrbit::MarsEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Mars_e); - Mars_e = CAAElementsPlanetaryOrbit::MarsEccentricity(2451545); - double Mars_i = CAAElementsPlanetaryOrbit::MarsInclination(2475460.5); - UNREFERENCED_PARAMETER(Mars_i); - double Mars_omega = CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Mars_omega); - double Mars_pi = CAAElementsPlanetaryOrbit::MarsLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Mars_pi); - - double Jup_L = CAAElementsPlanetaryOrbit::JupiterMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Jup_L); - double Jup_a = CAAElementsPlanetaryOrbit::JupiterSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Jup_a); - Jup_a = CAAElementsPlanetaryOrbit::JupiterSemimajorAxis(2451545); - double Jup_e = CAAElementsPlanetaryOrbit::JupiterEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Jup_e); - Jup_e = CAAElementsPlanetaryOrbit::JupiterEccentricity(2451545); - double Jup_i = CAAElementsPlanetaryOrbit::JupiterInclination(2475460.5); - UNREFERENCED_PARAMETER(Jup_i); - double Jup_omega = CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Jup_omega); - double Jup_pi = CAAElementsPlanetaryOrbit::JupiterLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Jup_pi); - - double Sat_L = CAAElementsPlanetaryOrbit::SaturnMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Sat_L); - double Sat_a = CAAElementsPlanetaryOrbit::SaturnSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Sat_a); - Sat_a = CAAElementsPlanetaryOrbit::SaturnSemimajorAxis(2451545); - double Sat_e = CAAElementsPlanetaryOrbit::SaturnEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Sat_e); - Sat_e = CAAElementsPlanetaryOrbit::SaturnEccentricity(2451545); - double Sat_i = CAAElementsPlanetaryOrbit::SaturnInclination(2475460.5); - UNREFERENCED_PARAMETER(Sat_i); - double Sat_omega = CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Sat_omega); - double Sat_pi = CAAElementsPlanetaryOrbit::SaturnLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Sat_pi); - - double Ura_L = CAAElementsPlanetaryOrbit::UranusMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Ura_L); - double Ura_a = CAAElementsPlanetaryOrbit::UranusSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Ura_a); - Ura_a = CAAElementsPlanetaryOrbit::UranusSemimajorAxis(2451545); - double Ura_e = CAAElementsPlanetaryOrbit::UranusEccentricity(2475460.5); - UNREFERENCED_PARAMETER(Ura_e); - Ura_e = CAAElementsPlanetaryOrbit::UranusEccentricity(2451545); - double Ura_i = CAAElementsPlanetaryOrbit::UranusInclination(2475460.5); - UNREFERENCED_PARAMETER(Ura_i); - double Ura_omega = CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Ura_omega); - double Ura_pi = CAAElementsPlanetaryOrbit::UranusLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Ura_pi); - - double Nep_L = CAAElementsPlanetaryOrbit::NeptuneMeanLongitude(2475460.5); - UNREFERENCED_PARAMETER(Nep_L); - double Nep_a = CAAElementsPlanetaryOrbit::NeptuneSemimajorAxis(2475460.5); - UNREFERENCED_PARAMETER(Nep_a); - Nep_a = CAAElementsPlanetaryOrbit::NeptuneSemimajorAxis(2451545); - double Nep_e = CAAElementsPlanetaryOrbit::NeptuneEccentricity(2475460.5); - Nep_e = CAAElementsPlanetaryOrbit::NeptuneEccentricity(2451545); - UNREFERENCED_PARAMETER(Nep_e); - double Nep_i = CAAElementsPlanetaryOrbit::NeptuneInclination(2475460.5); - UNREFERENCED_PARAMETER(Nep_i); - double Nep_omega = CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNode(2475460.5); - UNREFERENCED_PARAMETER(Nep_omega); - double Nep_pi = CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelion(2475460.5); - UNREFERENCED_PARAMETER(Nep_pi); - - - double Mer_L2 = CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mer_L2); - Mer_L2 = CAAElementsPlanetaryOrbit::MercuryMeanLongitudeJ2000(2451545); - double Mer_i2 = CAAElementsPlanetaryOrbit::MercuryInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mer_i2); - double Mer_omega2 = CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mer_omega2); - Mer_omega2 = CAAElementsPlanetaryOrbit::MercuryLongitudeAscendingNodeJ2000(2451545); - double Mer_pi2 = CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mer_pi2); - Mer_pi2 = CAAElementsPlanetaryOrbit::MercuryLongitudePerihelionJ2000(2451545); - - double Ven_L2 = CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ven_L2); - Ven_L2 = CAAElementsPlanetaryOrbit::VenusMeanLongitudeJ2000(2451545); - double Ven_i2 = CAAElementsPlanetaryOrbit::VenusInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ven_i2); - double Ven_omega2 = CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ven_omega2); - Ven_omega2 = CAAElementsPlanetaryOrbit::VenusLongitudeAscendingNodeJ2000(2451545); - double Ven_pi2 = CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ven_pi2); - Ven_pi2 = CAAElementsPlanetaryOrbit::VenusLongitudePerihelionJ2000(2451545); - - double Ea_L2 = CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ea_L2); - Ea_L2 = CAAElementsPlanetaryOrbit::EarthMeanLongitudeJ2000(2451545); - double Ea_i2 = CAAElementsPlanetaryOrbit::EarthInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ea_i2); - double Ea_omega2 = CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ea_omega2); - Ea_omega2 = CAAElementsPlanetaryOrbit::EarthLongitudeAscendingNodeJ2000(2451545); - double Ea_pi2 = CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ea_pi2); - Ea_pi2 = CAAElementsPlanetaryOrbit::EarthLongitudePerihelionJ2000(2451545); - - double Mars_L2 = CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mars_L2); - Mars_L2 = CAAElementsPlanetaryOrbit::MarsMeanLongitudeJ2000(2451545); - double Mars_i2 = CAAElementsPlanetaryOrbit::MarsInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mars_i2); - double Mars_omega2 = CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mars_omega2); - Mars_omega2 = CAAElementsPlanetaryOrbit::MarsLongitudeAscendingNodeJ2000(2451545); - double Mars_pi2 = CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Mars_pi2); - Mars_pi2 = CAAElementsPlanetaryOrbit::MarsLongitudePerihelionJ2000(2451545); - - double Jup_L2 = CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Jup_L2); - Jup_L2 = CAAElementsPlanetaryOrbit::JupiterMeanLongitudeJ2000(2451545); - double Jup_i2 = CAAElementsPlanetaryOrbit::JupiterInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Jup_i2); - double Jup_omega2 = CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Jup_omega2); - Jup_omega2 = CAAElementsPlanetaryOrbit::JupiterLongitudeAscendingNodeJ2000(2451545); - double Jup_pi2 = CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Jup_pi2); - Jup_pi2 = CAAElementsPlanetaryOrbit::JupiterLongitudePerihelionJ2000(2451545); - - double Sat_L2 = CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Sat_L2); - Sat_L2 = CAAElementsPlanetaryOrbit::SaturnMeanLongitudeJ2000(2451545); - double Sat_i2 = CAAElementsPlanetaryOrbit::SaturnInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Sat_i2); - double Sat_omega2 = CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Sat_omega2); - Sat_omega2 = CAAElementsPlanetaryOrbit::SaturnLongitudeAscendingNodeJ2000(2451545); - double Sat_pi2 = CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Sat_pi2); - Sat_pi2 = CAAElementsPlanetaryOrbit::SaturnLongitudePerihelionJ2000(2451545); - - double Ura_L2 = CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ura_L2); - Ura_L2 = CAAElementsPlanetaryOrbit::UranusMeanLongitudeJ2000(2451545); - double Ura_i2 = CAAElementsPlanetaryOrbit::UranusInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ura_i2); - double Ura_omega2 = CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ura_omega2); - Ura_omega2 = CAAElementsPlanetaryOrbit::UranusLongitudeAscendingNodeJ2000(2451545); - double Ura_pi2 = CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Ura_pi2); - Ura_pi2 = CAAElementsPlanetaryOrbit::UranusLongitudePerihelionJ2000(2451545); - - double Nep_L2 = CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Nep_L2); - Nep_L2 = CAAElementsPlanetaryOrbit::NeptuneMeanLongitudeJ2000(2451545); - double Nep_i2 = CAAElementsPlanetaryOrbit::NeptuneInclinationJ2000(2475460.5); - UNREFERENCED_PARAMETER(Nep_i2); - double Nep_omega2 = CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000(2475460.5); - UNREFERENCED_PARAMETER(Nep_omega2); - Nep_omega2 = CAAElementsPlanetaryOrbit::NeptuneLongitudeAscendingNodeJ2000(2451545); - double Nep_pi2 = CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000(2475460.5); - UNREFERENCED_PARAMETER(Nep_pi2); - Nep_pi2 = CAAElementsPlanetaryOrbit::NeptuneLongitudePerihelionJ2000(2451545); - - double MoonGeocentricElongation = CAAMoonIlluminatedFraction::GeocentricElongation(8.97922, 13.7684, 1.377194, 8.6964); - double MoonPhaseAngle = CAAMoonIlluminatedFraction::PhaseAngle(MoonGeocentricElongation, 368410, 149971520); - double MoonIlluminatedFraction = CAAMoonIlluminatedFraction::IlluminatedFraction(MoonPhaseAngle); - UNREFERENCED_PARAMETER(MoonIlluminatedFraction); - double MoonPositionAngle = CAAMoonIlluminatedFraction::PositionAngle(CAACoordinateTransformation::DMSToDegrees(1, 22, 37.9), 8.6964, 134.6885/15, 13.7684); - UNREFERENCED_PARAMETER(MoonPositionAngle); - - double JDVenus = CAADynamicalTime::TT2UTC(2448976.5); - UNREFERENCED_PARAMETER(JDVenus); - CAAEllipticalPlanetaryDetails VenusDetails = CAAElliptical::Calculate(2448976.5, CAAElliptical::VENUS, false); - UNREFERENCED_PARAMETER(VenusDetails); - CAAEllipticalPlanetaryDetails VenusDetails2 = CAAElliptical::Calculate(2448976.5, CAAElliptical::VENUS, true); - UNREFERENCED_PARAMETER(VenusDetails2); - CAAEllipticalPlanetaryDetails VenusDetails3 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2453149.5), CAAElliptical::VENUS, false); - UNREFERENCED_PARAMETER(VenusDetails3); - CAAEllipticalPlanetaryDetails VenusDetails4 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2453149.5), CAAElliptical::VENUS, true); - UNREFERENCED_PARAMETER(VenusDetails4); - CAAEllipticalPlanetaryDetails VenusDetails5 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457214.6), CAAElliptical::VENUS, false); - UNREFERENCED_PARAMETER(VenusDetails5); - CAAEllipticalPlanetaryDetails VenusDetails6 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457214.6), CAAElliptical::VENUS, true); - UNREFERENCED_PARAMETER(VenusDetails6); - - CAAEllipticalPlanetaryDetails SunDetails = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2453149.5), CAAElliptical::SUN, false); - UNREFERENCED_PARAMETER(SunDetails); - CAAEllipticalPlanetaryDetails SunDetails2 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2453149.5), CAAElliptical::SUN, true); - UNREFERENCED_PARAMETER(SunDetails2); - CAAEllipticalPlanetaryDetails SunDetails3 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457214.6), CAAElliptical::SUN, false); - UNREFERENCED_PARAMETER(SunDetails3); - CAAEllipticalPlanetaryDetails SunDetails4 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457214.6), CAAElliptical::SUN, true); - UNREFERENCED_PARAMETER(SunDetails4); - CAAEllipticalPlanetaryDetails SunDetails5 = CAAElliptical::Calculate(2448908.5, CAAElliptical::SUN, false); - UNREFERENCED_PARAMETER(SunDetails5); - CAAEllipticalPlanetaryDetails SunDetails6 = CAAElliptical::Calculate(2448908.5, CAAElliptical::SUN, true); - UNREFERENCED_PARAMETER(SunDetails6); - CAAEllipticalPlanetaryDetails SunDetails7 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457213.875), CAAElliptical::SUN, false); - UNREFERENCED_PARAMETER(SunDetails7); - CAAEllipticalPlanetaryDetails SunDetails8 = CAAElliptical::Calculate(CAADynamicalTime::UTC2TT(2457213.875), CAAElliptical::SUN, true); - UNREFERENCED_PARAMETER(SunDetails8); - - CAAEllipticalObjectElements elements; - elements.a = 2.2091404; - elements.e = 0.8502196; - elements.i = 11.94524; - elements.omega = 334.75006; - elements.w = 186.23352; - elements.T = 2448192.5 + 0.54502; - elements.JDEquinox = 2451544.5; - CAAEllipticalObjectDetails details = CAAElliptical::Calculate(2448170.5, elements, false); - UNREFERENCED_PARAMETER(details); - CAAEllipticalObjectDetails details8 = CAAElliptical::Calculate(2448170.5, elements, true); - UNREFERENCED_PARAMETER(details8); - - double Velocity1 = CAAElliptical::InstantaneousVelocity(1, 17.9400782); - UNREFERENCED_PARAMETER(Velocity1); - double Velocity2 = CAAElliptical::VelocityAtPerihelion(0.96727426, 17.9400782); - UNREFERENCED_PARAMETER(Velocity2); - double Velocity3 = CAAElliptical::VelocityAtAphelion(0.96727426, 17.9400782); - UNREFERENCED_PARAMETER(Velocity3); - - double Length = CAAElliptical::LengthOfEllipse(0.96727426, 17.9400782); - UNREFERENCED_PARAMETER(Length); - - double Mag1 = CAAElliptical::MinorPlanetMagnitude(3.34, 1.6906631928, 0.12, 2.6154983761, 120); - UNREFERENCED_PARAMETER(Mag1); - double Mag2 = CAAElliptical::CometMagnitude(5.5, 0.378, 10, 0.658); - UNREFERENCED_PARAMETER(Mag2); - double Mag3 = CAAElliptical::CometMagnitude(5.5, 1.1017, 10, 1.5228); - UNREFERENCED_PARAMETER(Mag3); - - CAAParabolicObjectElements elements2; //Sample taken from http://www.stjarnhimlen.se/comp/tutorial.html for comet Levy - elements2.q = 0.93858; - elements2.i = 131.5856; - elements2.omega = 139.2313; - elements2.w = 242.6797; - elements2.T = CAADate::DateToJD(1990, 10, 24.6954, true); - elements2.JDEquinox = elements2.T; //Of the day - double JDCalc = CAADynamicalTime::UTC2TT(CAADate::DateToJD(1990, 8, 22.0, true)); - CAAParabolicObjectDetails details2 = CAAParabolic::Calculate(JDCalc, elements2, false); - UNREFERENCED_PARAMETER(details2); - CAAParabolicObjectDetails details5 = CAAParabolic::Calculate(JDCalc, elements2, true); - UNREFERENCED_PARAMETER(details5); - - CAAEllipticalObjectElements elements3; - elements3.a = 17.9400782; - elements3.e = 0.96727426; - elements3.i = 0; //Not required - elements3.omega = 0; //Not required - elements3.w = 111.84644; - elements3.T = 2446470.5 + 0.45891; - elements3.JDEquinox = 0; //Not required - CAANodeObjectDetails nodedetails = CAANodes::PassageThroAscendingNode(elements3); - UNREFERENCED_PARAMETER(nodedetails); - CAANodeObjectDetails nodedetails2 = CAANodes::PassageThroDescendingNode(elements3); - UNREFERENCED_PARAMETER(nodedetails2); - - CAAParabolicObjectElements elements4; - elements4.q = 1.324502; - elements4.i = 0; //Not required - elements4.omega = 0; //Not required - elements4.w = 154.9103; - elements4.T = 2447758.5 + 0.2910; - elements4.JDEquinox = 0; //Not required - CAANodeObjectDetails nodedetails3 = CAANodes::PassageThroAscendingNode(elements4); - UNREFERENCED_PARAMETER(nodedetails3); - CAANodeObjectDetails nodedetails4 = CAANodes::PassageThroDescendingNode(elements4); - UNREFERENCED_PARAMETER(nodedetails4); - - - CAAEllipticalObjectElements elements5; - elements5.a = 0.723329820; - elements5.e = 0.00678195; - elements5.i = 0; //Not required - elements5.omega = 0; //Not required - elements5.w = 54.778485; - elements5.T = 2443873.704; - elements5.JDEquinox = 0; //Not required - CAANodeObjectDetails nodedetails5 = CAANodes::PassageThroAscendingNode(elements5); - UNREFERENCED_PARAMETER(nodedetails5); - - - double MoonK2 = CAAMoonNodes::K(1987.37); - UNREFERENCED_PARAMETER(MoonK2); - double MoonJD = CAAMoonNodes::PassageThroNode(-170); - UNREFERENCED_PARAMETER(MoonJD); - - - double Y = CAAInterpolate::Interpolate(0.18125, 0.884226, 0.877366, 0.870531); - UNREFERENCED_PARAMETER(Y); - - double NM; - double YM = CAAInterpolate::Extremum(1.3814294, 1.3812213, 1.3812453, NM); - UNREFERENCED_PARAMETER(YM); - - double N0 = CAAInterpolate::Zero(-1693.4, 406.3, 2303.2); - UNREFERENCED_PARAMETER(N0); - - double N02 = CAAInterpolate::Zero2(-2, 3, 2); - UNREFERENCED_PARAMETER(N02); - - double Y2 = CAAInterpolate::Interpolate(0.2777778, 36.125, 24.606, 15.486, 8.694, 4.133); - UNREFERENCED_PARAMETER(Y2); - - double N03 = CAAInterpolate::Zero(CAACoordinateTransformation::DMSToDegrees(1, 11, 21.23, false), CAACoordinateTransformation::DMSToDegrees(0, 28, 12.31, false), CAACoordinateTransformation::DMSToDegrees(0, 16, 7.02), CAACoordinateTransformation::DMSToDegrees(1, 1, 0.13), CAACoordinateTransformation::DMSToDegrees(1, 45, 46.33)); - UNREFERENCED_PARAMETER(N03); - - double N04 = CAAInterpolate::Zero(CAACoordinateTransformation::DMSToDegrees(0, 28, 12.31, false), CAACoordinateTransformation::DMSToDegrees(0, 16, 7.02), CAACoordinateTransformation::DMSToDegrees(1, 1, 0.13)); - UNREFERENCED_PARAMETER(N04); - - double N05 = CAAInterpolate::Zero2(-13, -2, 3, 2, -5); - UNREFERENCED_PARAMETER(N05); - - double Y3 = CAAInterpolate::InterpolateToHalves(1128.732, 1402.835, 1677.247, 1951.983); - UNREFERENCED_PARAMETER(Y3); - - double X1[] = { 29.43, 30.97, 27.69, 28.11, 31.58, 33.05 }; - double Y1[] = { 0.4913598528, 0.5145891926, 0.4646875083, 0.4711658342, 0.5236885653, 0.5453707057 }; - double Y4 = CAAInterpolate::LagrangeInterpolate(30, 6, X1, Y1); - UNREFERENCED_PARAMETER(Y4); - double Y5 = CAAInterpolate::LagrangeInterpolate(0, 6, X1, Y1); - UNREFERENCED_PARAMETER(Y5); - double Y6 = CAAInterpolate::LagrangeInterpolate(90, 6, X1, Y1); - UNREFERENCED_PARAMETER(Y6); - - double Alpha1 = CAACoordinateTransformation::DMSToDegrees(2, 42, 43.25); - double Alpha2 = CAACoordinateTransformation::DMSToDegrees(2, 46, 55.51); - double Alpha3 = CAACoordinateTransformation::DMSToDegrees(2, 51, 07.69); - double Delta1 = CAACoordinateTransformation::DMSToDegrees(18, 02, 51.4); - double Delta2 = CAACoordinateTransformation::DMSToDegrees(18, 26, 27.3); - double Delta3 = CAACoordinateTransformation::DMSToDegrees(18, 49, 38.7); - double JD2 = 2447240.5; - Longitude = 71.0833; - Latitude = 42.3333; - CAARiseTransitSetDetails RiseTransitSetTime = CAARiseTransitSet::Calculate(JD2, Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, Longitude, Latitude, -0.5667); - if (RiseTransitSetTime.bRiseValid) - { - double riseJD = (JD2 + (RiseTransitSetTime.Rise / 24.00)); - CAADate rtsDate(riseJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Venus rise for Boston for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - } - else - { - CAADate rtsDate(JD2, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Venus does not rise for Boston for UTC %d-%d-%d\n", static_cast(Year), static_cast(Month), static_cast(Day)); - } - double transitJD = (JD2 + (RiseTransitSetTime.Transit / 24.00)); - CAADate rtsDate(transitJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - if (RiseTransitSetTime.bTransitAboveHorizon) - printf("Venus transit for Boston for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - else - printf("Venus transit for Boston (below horizon) for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - if (RiseTransitSetTime.bSetValid) - { - double setJD = (JD2 + (RiseTransitSetTime.Set / 24.00)); - rtsDate = CAADate(setJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Venus set for Boston UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - } - else - { - rtsDate = CAADate(JD2, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Venus does not set for Boston for UTC %d-%d-%d\n", static_cast(Year), static_cast(Month), static_cast(Day)); - } - - //Calculate the time of moon set for 11th of August 2009 UTC for Palomar Observatory - int YYYY = 2009; - int MM = 8; - int DD = 11; - CAADate CalcDate(YYYY, MM, DD, true); - JD2 = CalcDate.Julian(); - GetLunarRaDecByJulian(JD2 - 1, Alpha1, Delta1); - GetLunarRaDecByJulian(JD2, Alpha2, Delta2); - GetLunarRaDecByJulian(JD2 + 1, Alpha3, Delta3); - Longitude = CAACoordinateTransformation::DMSToDegrees(116, 51, 45); //West is considered positive - Latitude = CAACoordinateTransformation::DMSToDegrees(33, 21, 22); - RiseTransitSetTime = CAARiseTransitSet::Calculate(JD2, Alpha1, Delta1, Alpha2, Delta2, Alpha3, Delta3, Longitude, Latitude, 0.125); - if (RiseTransitSetTime.bRiseValid) - { - double riseJD = (JD2 + (RiseTransitSetTime.Rise / 24.00)); - rtsDate = CAADate(riseJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Moon rise for Palomar Observatory for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - } - else - { - rtsDate = CAADate(JD2, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Moon does not rise for Palomar Observatory for UTC %d-%d-%d\n", static_cast(Year), static_cast(Month), static_cast(Day)); - } - transitJD = (JD2 + (RiseTransitSetTime.Transit / 24.00)); - rtsDate = CAADate(transitJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - if (RiseTransitSetTime.bTransitAboveHorizon) - printf("Moon transit for Palomar Observatory for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - else - printf("Moon transit for Palomar Observatory (below horizon) for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - if (RiseTransitSetTime.bSetValid) - { - double setJD = (JD2 + (RiseTransitSetTime.Set / 24.00)); - rtsDate = CAADate(setJD, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Moon set for Palomar Observatory for UTC %d-%d-%d occurs at %02d:%02d:%02d\n", static_cast(Year), static_cast(Month), static_cast(Day), static_cast(Hour), static_cast(Minute), static_cast(Second)); - } - else - { - rtsDate = CAADate(JD2, true); - rtsDate.Get(Year, Month, Day, Hour, Minute, Second); - printf("Moon does not set for Palomar Observatory for UTC %d-%d-%d\n", static_cast(Year), static_cast(Month), static_cast(Day)); - } - - double Kpp = CAAPlanetaryPhenomena::K(1993.75, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - double MercuryInferiorConjunction = CAAPlanetaryPhenomena::Mean(Kpp, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - UNREFERENCED_PARAMETER(MercuryInferiorConjunction); - double MercuryInferiorConjunction2 = CAAPlanetaryPhenomena::True(Kpp, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - UNREFERENCED_PARAMETER(MercuryInferiorConjunction2); - - double Kpp2 = CAAPlanetaryPhenomena::K(2125.5, CAAPlanetaryPhenomena::SATURN, CAAPlanetaryPhenomena::CONJUNCTION); - double SaturnConjunction = CAAPlanetaryPhenomena::Mean(Kpp2, CAAPlanetaryPhenomena::SATURN, CAAPlanetaryPhenomena::CONJUNCTION); - UNREFERENCED_PARAMETER(SaturnConjunction); - double SaturnConjunction2 = CAAPlanetaryPhenomena::True(Kpp2, CAAPlanetaryPhenomena::SATURN, CAAPlanetaryPhenomena::CONJUNCTION); - UNREFERENCED_PARAMETER(SaturnConjunction2); - - double MercuryWesternElongation = CAAPlanetaryPhenomena::True(Kpp, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::WESTERN_ELONGATION); - UNREFERENCED_PARAMETER(MercuryWesternElongation); - double MercuryWesternElongationValue = CAAPlanetaryPhenomena::ElongationValue(Kpp, CAAPlanetaryPhenomena::MERCURY, false); - UNREFERENCED_PARAMETER(MercuryWesternElongationValue); - - double MarsStation2 = CAAPlanetaryPhenomena::True(-2, CAAPlanetaryPhenomena::MARS, CAAPlanetaryPhenomena::STATION2); - UNREFERENCED_PARAMETER(MarsStation2); - - double MercuryK = CAAPlanetaryPhenomena::K(1631.8, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - double MercuryIC = CAAPlanetaryPhenomena::True(MercuryK, CAAPlanetaryPhenomena::MERCURY, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - UNREFERENCED_PARAMETER(MercuryIC); - - double VenusKpp = CAAPlanetaryPhenomena::K(1882.9, CAAPlanetaryPhenomena::VENUS, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - double VenusIC = CAAPlanetaryPhenomena::True(VenusKpp, CAAPlanetaryPhenomena::VENUS, CAAPlanetaryPhenomena::INFERIOR_CONJUNCTION); - UNREFERENCED_PARAMETER(VenusIC); - - double MarsKpp = CAAPlanetaryPhenomena::K(2729.65, CAAPlanetaryPhenomena::MARS, CAAPlanetaryPhenomena::OPPOSITION); - double MarsOP = CAAPlanetaryPhenomena::True(MarsKpp, CAAPlanetaryPhenomena::MARS, CAAPlanetaryPhenomena::OPPOSITION); - UNREFERENCED_PARAMETER(MarsOP); - - double JupiterKpp = CAAPlanetaryPhenomena::K(-5, CAAPlanetaryPhenomena::JUPITER, CAAPlanetaryPhenomena::OPPOSITION); - double JupiterOP = CAAPlanetaryPhenomena::True(JupiterKpp, CAAPlanetaryPhenomena::JUPITER, CAAPlanetaryPhenomena::OPPOSITION); - UNREFERENCED_PARAMETER(JupiterOP); - - double SaturnKpp = CAAPlanetaryPhenomena::K(-5, CAAPlanetaryPhenomena::SATURN, CAAPlanetaryPhenomena::OPPOSITION); - double SaturnOP = CAAPlanetaryPhenomena::True(SaturnKpp, CAAPlanetaryPhenomena::SATURN, CAAPlanetaryPhenomena::OPPOSITION); - UNREFERENCED_PARAMETER(SaturnOP); - - double UranusKpp = CAAPlanetaryPhenomena::K(1780.6, CAAPlanetaryPhenomena::URANUS, CAAPlanetaryPhenomena::OPPOSITION); - double UranusOP = CAAPlanetaryPhenomena::True(UranusKpp, CAAPlanetaryPhenomena::URANUS, CAAPlanetaryPhenomena::OPPOSITION); - UNREFERENCED_PARAMETER(UranusOP); - - double NeptuneKpp = CAAPlanetaryPhenomena::K(1846.5, CAAPlanetaryPhenomena::NEPTUNE, CAAPlanetaryPhenomena::OPPOSITION); - double NeptuneOP = CAAPlanetaryPhenomena::True(NeptuneKpp, CAAPlanetaryPhenomena::NEPTUNE, CAAPlanetaryPhenomena::OPPOSITION); - UNREFERENCED_PARAMETER(NeptuneOP); - - CAA2DCoordinate TopocentricDelta = CAAParallax::Equatorial2TopocentricDelta(CAACoordinateTransformation::DMSToDegrees(22, 38, 7.25), -15.771083, 0.37276, CAACoordinateTransformation::DMSToDegrees(7, 47, 27)*15, CAACoordinateTransformation::DMSToDegrees(33, 21, 22), 1706, 2452879.63681); - UNREFERENCED_PARAMETER(TopocentricDelta); - CAA2DCoordinate Topocentric = CAAParallax::Equatorial2Topocentric(CAACoordinateTransformation::DMSToDegrees(22, 38, 7.25), -15.771083, 0.37276, CAACoordinateTransformation::DMSToDegrees(7, 47, 27)*15, CAACoordinateTransformation::DMSToDegrees(33, 21, 22), 1706, 2452879.63681); - UNREFERENCED_PARAMETER(Topocentric); - - - double distance2 = CAAParallax::ParallaxToDistance(CAACoordinateTransformation::DMSToDegrees(0, 59, 27.7)); - double parallax2 = CAAParallax::DistanceToParallax(distance2); - UNREFERENCED_PARAMETER(parallax2); - - CAATopocentricEclipticDetails TopocentricDetails = CAAParallax::Ecliptic2Topocentric(CAACoordinateTransformation::DMSToDegrees(181, 46, 22.5), CAACoordinateTransformation::DMSToDegrees(2, 17, 26.2), - CAACoordinateTransformation::DMSToDegrees(0, 16, 15.5), CAAParallax::ParallaxToDistance(CAACoordinateTransformation::DMSToDegrees(0, 59, 27.7)), CAACoordinateTransformation::DMSToDegrees(23, 28, 0.8), - CAACoordinateTransformation::DMSToDegrees(50, 5, 7.8), 0, 2452879.150858); - UNREFERENCED_PARAMETER(TopocentricDetails); - - double k = CAAIlluminatedFraction::IlluminatedFraction(0.724604, 0.983824, 0.910947); - UNREFERENCED_PARAMETER(k); - double pa1 = CAAIlluminatedFraction::PhaseAngle(0.724604, 0.983824, 0.910947); - UNREFERENCED_PARAMETER(pa1); - double pa = CAAIlluminatedFraction::PhaseAngle(0.724604, 0.983824, -2.62070, 26.11428, 88.35704, 0.910947); - double k2 = CAAIlluminatedFraction::IlluminatedFraction(pa); - UNREFERENCED_PARAMETER(k2); - double pa2 = CAAIlluminatedFraction::PhaseAngleRectangular(0.621746, -0.664810, -0.033134, -2.62070, 26.11428, 0.910947); - double k3 = CAAIlluminatedFraction::IlluminatedFraction(pa2); - UNREFERENCED_PARAMETER(k3); - - double VenusMag = CAAIlluminatedFraction::VenusMagnitudeMuller(0.724604, 0.910947, 72.96); - UNREFERENCED_PARAMETER(VenusMag); - double VenusMag2 = CAAIlluminatedFraction::VenusMagnitudeAA(0.724604, 0.910947, 72.96); - UNREFERENCED_PARAMETER(VenusMag2); - - double SaturnMag = CAAIlluminatedFraction::SaturnMagnitudeMuller(9.867882, 10.464606, 4.198, 16.442); - UNREFERENCED_PARAMETER(SaturnMag); - double SaturnMag2 = CAAIlluminatedFraction::SaturnMagnitudeAA(9.867882, 10.464606, 4.198, 16.442); - UNREFERENCED_PARAMETER(SaturnMag2); - - - CAAPhysicalMarsDetails MarsDetails = CAAPhysicalMars::Calculate(2448935.500683, false); - UNREFERENCED_PARAMETER(MarsDetails); - CAAPhysicalMarsDetails MarsDetails2 = CAAPhysicalMars::Calculate(2448935.500683, true); - UNREFERENCED_PARAMETER(MarsDetails2); - - CAAPhysicalJupiterDetails JupiterDetails = CAAPhysicalJupiter::Calculate(2448972.50068, false); - UNREFERENCED_PARAMETER(JupiterDetails); - CAAPhysicalJupiterDetails JupiterDetails2 = CAAPhysicalJupiter::Calculate(2448972.50068, true); - UNREFERENCED_PARAMETER(JupiterDetails2); - - //The example as given in the book - CAAGalileanMoonsDetails GalileanDetails = CAAGalileanMoons::Calculate(2448972.50068, false); - UNREFERENCED_PARAMETER(GalileanDetails); - CAAGalileanMoonsDetails GalileanDetails2 = CAAGalileanMoons::Calculate(2448972.50068, true); - UNREFERENCED_PARAMETER(GalileanDetails2); - - //Calculate the Eclipse Disappearance of Satellite 1 on February 1 2004 at 13:32 UCT - JD = 2453037.05903; - int i; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - //Calculate the Shadow Egress of Satellite 1 on February 2 2004 at 13:07 UT - JD = 2453038.04236; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - //Calculate the Shadow Ingress of Satellite 4 on February 6 2004 at 22:59 UCT - JD = 2453042.45486; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - //Calculate the Shadow Egress of Satellite 4 on February 7 2004 at 2:41 UCT - JD = 2453042.61042; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - //Calculate the Transit Ingress of Satellite 4 on February 7 2004 at 5:07 UCT - JD = 2453042.71181; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - //Calculate the Transit Egress of Satellite 4 on February 7 2004 at 7:46 UT - JD = 2453042.82222; - for (i=0; i<10; i++) - { - CAAGalileanMoonsDetails GalileanDetails1 = CAAGalileanMoons::Calculate(JD, false); - UNREFERENCED_PARAMETER(GalileanDetails1); - CAAGalileanMoonsDetails GalileanDetails3 = CAAGalileanMoons::Calculate(JD, true); - UNREFERENCED_PARAMETER(GalileanDetails3); - JD += (1.0/1440); - } - - CAASaturnRingDetails saturnrings = CAASaturnRings::Calculate(2448972.50068, false); - UNREFERENCED_PARAMETER(saturnrings); - CAASaturnRingDetails saturnrings2 = CAASaturnRings::Calculate(2448972.50068, true); - UNREFERENCED_PARAMETER(saturnrings2); - - /* - //Code to write out the Saturn Ring values for a specific range - CAADate Datex(2024, 4, 1, true); - double JDUT3 = Datex.Julian(); - bool bContinue4 = true; - while (bContinue4) - { - saturnrings = CAASaturnRings::Calculate(JDUT3); - printf("%f\t%f\t%f\t%f\n", JDUT3, saturnrings.U1, saturnrings.U2, saturnrings.DeltaU); - - //Prepare for the next loop - JDUT3 += 5; - if (JDUT3 >= 2469136.500000) - bContinue4 = false; - } - */ - - CAASaturnMoonsDetails saturnMoons = CAASaturnMoons::Calculate(2451439.50074, false); - UNREFERENCED_PARAMETER(saturnMoons); - CAASaturnMoonsDetails saturnMoons2 = CAASaturnMoons::Calculate(2451439.50074, true); - UNREFERENCED_PARAMETER(saturnMoons2); - - double ApproxK = CAAMoonPhases::K(1977.125); - UNREFERENCED_PARAMETER(ApproxK); - double NewMoonJD = CAAMoonPhases::TruePhase(-283); - UNREFERENCED_PARAMETER(NewMoonJD); - - ApproxK = CAAMoonPhases::K(1952.88); - double LastQuarterJD = CAAMoonPhases::TruePhase(-583 + 0.75); - UNREFERENCED_PARAMETER(LastQuarterJD); - - double ApproxK2 = CAAMoonPhases::K(2044); - UNREFERENCED_PARAMETER(ApproxK2); - LastQuarterJD = CAAMoonPhases::TruePhase(544.75); - - double MoonDeclinationK = CAAMoonMaxDeclinations::K(1988.95); - UNREFERENCED_PARAMETER(MoonDeclinationK); - - double MoonNorthDec = CAAMoonMaxDeclinations::TrueGreatestDeclination(-148, true); - UNREFERENCED_PARAMETER(MoonNorthDec); - double MoonNorthDecValue = CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(-148, true); - UNREFERENCED_PARAMETER(MoonNorthDecValue); - - double MoonSouthDec = CAAMoonMaxDeclinations::TrueGreatestDeclination(659, false); - UNREFERENCED_PARAMETER(MoonSouthDec); - double MoonSouthDecValue = CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(659, false); - UNREFERENCED_PARAMETER(MoonSouthDecValue); - - double MoonNorthDec2 = CAAMoonMaxDeclinations::TrueGreatestDeclination(-26788, true); - UNREFERENCED_PARAMETER(MoonNorthDec2); - double MoonNorthDecValue2 = CAAMoonMaxDeclinations::TrueGreatestDeclinationValue(-26788, true); - UNREFERENCED_PARAMETER(MoonNorthDecValue2); - - double sd1 = CAADiameters::SunSemidiameterA(1); - UNREFERENCED_PARAMETER(sd1); - double sd2 = CAADiameters::SunSemidiameterA(2); - UNREFERENCED_PARAMETER(sd2); - - double sd3 = CAADiameters::VenusSemidiameterA(1); - UNREFERENCED_PARAMETER(sd3); - double sd4 = CAADiameters::VenusSemidiameterA(2); - UNREFERENCED_PARAMETER(sd4); - double sd5 = CAADiameters::VenusSemidiameterB(1); - UNREFERENCED_PARAMETER(sd5); - double sd6 = CAADiameters::VenusSemidiameterB(2); - UNREFERENCED_PARAMETER(sd6); - - double sd11 = CAADiameters::MarsSemidiameterA(1); - UNREFERENCED_PARAMETER(sd11); - double sd12 = CAADiameters::MarsSemidiameterA(2); - UNREFERENCED_PARAMETER(sd12); - double sd13 = CAADiameters::MarsSemidiameterB(1); - UNREFERENCED_PARAMETER(sd13); - double sd14 = CAADiameters::MarsSemidiameterB(2); - UNREFERENCED_PARAMETER(sd14); - - double sd15 = CAADiameters::JupiterEquatorialSemidiameterA(1); - UNREFERENCED_PARAMETER(sd15); - double sd16 = CAADiameters::JupiterEquatorialSemidiameterA(2); - UNREFERENCED_PARAMETER(sd16); - double sd17 = CAADiameters::JupiterEquatorialSemidiameterB(1); - UNREFERENCED_PARAMETER(sd17); - double sd18 = CAADiameters::JupiterEquatorialSemidiameterB(2); - UNREFERENCED_PARAMETER(sd18); - - double sd19 = CAADiameters::JupiterPolarSemidiameterA(1); - UNREFERENCED_PARAMETER(sd19); - double sd20 = CAADiameters::JupiterPolarSemidiameterA(2); - UNREFERENCED_PARAMETER(sd20); - double sd21 = CAADiameters::JupiterPolarSemidiameterB(1); - UNREFERENCED_PARAMETER(sd21); - double sd22 = CAADiameters::JupiterPolarSemidiameterB(2); - UNREFERENCED_PARAMETER(sd22); - - double sd23 = CAADiameters::SaturnEquatorialSemidiameterA(1); - UNREFERENCED_PARAMETER(sd23); - double sd24 = CAADiameters::SaturnEquatorialSemidiameterA(2); - UNREFERENCED_PARAMETER(sd24); - double sd25 = CAADiameters::SaturnEquatorialSemidiameterB(1); - UNREFERENCED_PARAMETER(sd25); - double sd26 = CAADiameters::SaturnEquatorialSemidiameterB(2); - UNREFERENCED_PARAMETER(sd26); - - double sd27 = CAADiameters::SaturnPolarSemidiameterA(1); - UNREFERENCED_PARAMETER(sd27); - double sd28 = CAADiameters::SaturnPolarSemidiameterA(2); - UNREFERENCED_PARAMETER(sd28); - double sd29 = CAADiameters::SaturnPolarSemidiameterB(1); - UNREFERENCED_PARAMETER(sd29); - double sd30 = CAADiameters::SaturnPolarSemidiameterB(2); - UNREFERENCED_PARAMETER(sd30); - - double sd31 = CAADiameters::ApparentSaturnPolarSemidiameterA(1, 16.442); - UNREFERENCED_PARAMETER(sd31); - double sd32 = CAADiameters::ApparentSaturnPolarSemidiameterA(2, 16.442); - UNREFERENCED_PARAMETER(sd32); - - double sd33 = CAADiameters::UranusSemidiameterA(1); - UNREFERENCED_PARAMETER(sd33); - double sd34 = CAADiameters::UranusSemidiameterA(2); - UNREFERENCED_PARAMETER(sd34); - double sd35 = CAADiameters::UranusSemidiameterB(1); - UNREFERENCED_PARAMETER(sd35); - double sd36 = CAADiameters::UranusSemidiameterB(2); - UNREFERENCED_PARAMETER(sd36); - - double sd37 = CAADiameters::NeptuneSemidiameterA(1); - UNREFERENCED_PARAMETER(sd37); - double sd38 = CAADiameters::NeptuneSemidiameterA(2); - UNREFERENCED_PARAMETER(sd38); - double sd39 = CAADiameters::NeptuneSemidiameterB(1); - UNREFERENCED_PARAMETER(sd39); - double sd40 = CAADiameters::NeptuneSemidiameterB(2); - UNREFERENCED_PARAMETER(sd40); - - double sd41 = CAADiameters::PlutoSemidiameterB(1); - UNREFERENCED_PARAMETER(sd41); - double sd42 = CAADiameters::PlutoSemidiameterB(2); - UNREFERENCED_PARAMETER(sd42); - double sd43 = CAADiameters::GeocentricMoonSemidiameter(368407.9); - UNREFERENCED_PARAMETER(sd43); - double sd44 = CAADiameters::GeocentricMoonSemidiameter(368407.9 - 10000); - UNREFERENCED_PARAMETER(sd44); - - double sd45 = CAADiameters::TopocentricMoonSemidiameter(368407.9, 5, 0, 33.356111, 1706); - UNREFERENCED_PARAMETER(sd45); - double sd46 = CAADiameters::TopocentricMoonSemidiameter(368407.9, 5, 6, 33.356111, 1706); - UNREFERENCED_PARAMETER(sd46); - double sd47 = CAADiameters::TopocentricMoonSemidiameter(368407.9 - 10000, 5, 0, 33.356111, 1706); - UNREFERENCED_PARAMETER(sd47); - double sd48 = CAADiameters::TopocentricMoonSemidiameter(368407.9 - 10000, 5, 6, 33.356111, 1706); - UNREFERENCED_PARAMETER(sd48); - - double sd49 = CAADiameters::AsteroidDiameter(4, 0.04); - UNREFERENCED_PARAMETER(sd49); - double sd50 = CAADiameters::AsteroidDiameter(4, 0.08); - UNREFERENCED_PARAMETER(sd50); - double sd51 = CAADiameters::AsteroidDiameter(6, 0.04); - UNREFERENCED_PARAMETER(sd51); - double sd53 = CAADiameters::AsteroidDiameter(6, 0.08); - UNREFERENCED_PARAMETER(sd53); - double sd54 = CAADiameters::ApparentAsteroidDiameter(1, 250); - UNREFERENCED_PARAMETER(sd54); - double sd55 = CAADiameters::ApparentAsteroidDiameter(1, 1000); - UNREFERENCED_PARAMETER(sd55); - - CAAPhysicalMoonDetails MoonDetails = CAAPhysicalMoon::CalculateGeocentric(2448724.5); - UNREFERENCED_PARAMETER(MoonDetails); - CAAPhysicalMoonDetails MoonDetail2 = CAAPhysicalMoon::CalculateTopocentric(2448724.5, 10, 52); - UNREFERENCED_PARAMETER(MoonDetail2); - CAASelenographicMoonDetails selenographicMoonDetails = CAAPhysicalMoon::CalculateSelenographicPositionOfSun(2448724.5, false); - UNREFERENCED_PARAMETER(selenographicMoonDetails); - CAASelenographicMoonDetails selenographicMoonDetails2 = CAAPhysicalMoon::CalculateSelenographicPositionOfSun(2448724.5, true); - UNREFERENCED_PARAMETER(selenographicMoonDetails2); - - double AltitudeOfSun = CAAPhysicalMoon::AltitudeOfSun(2448724.5, -20, 9.7, false); - UNREFERENCED_PARAMETER(AltitudeOfSun); - double AltitudeOfSun2 = CAAPhysicalMoon::AltitudeOfSun(2448724.5, -20, 9.7, true); - UNREFERENCED_PARAMETER(AltitudeOfSun2); - double TimeOfSunrise = CAAPhysicalMoon::TimeOfSunrise(2448724.5, -20, 9.7, false); - UNREFERENCED_PARAMETER(TimeOfSunrise); - double TimeOfSunrise2 = CAAPhysicalMoon::TimeOfSunrise(2448724.5, -20, 9.7, true); - UNREFERENCED_PARAMETER(TimeOfSunrise2); - double TimeOfSunset = CAAPhysicalMoon::TimeOfSunset(2448724.5, -20, 9.7, false); - UNREFERENCED_PARAMETER(TimeOfSunset); - double TimeOfSunset2 = CAAPhysicalMoon::TimeOfSunset(2448724.5, -20, 9.7, true); - UNREFERENCED_PARAMETER(TimeOfSunset2); - - CAASolarEclipseDetails EclipseDetails = CAAEclipses::CalculateSolar(-82); - UNREFERENCED_PARAMETER(EclipseDetails); - CAASolarEclipseDetails EclipseDetails2 = CAAEclipses::CalculateSolar(118); - UNREFERENCED_PARAMETER(EclipseDetails2); - CAALunarEclipseDetails EclipseDetails3 = CAAEclipses::CalculateLunar(-328.5); - UNREFERENCED_PARAMETER(EclipseDetails3); - CAALunarEclipseDetails EclipseDetails4 = CAAEclipses::CalculateLunar(-30.5); //No lunar eclipse - EclipseDetails4 = CAAEclipses::CalculateLunar(-29.5); //No lunar eclipse - EclipseDetails4 = CAAEclipses::CalculateLunar(-28.5); //Aha, found you! - - CAACalendarDate JulianDate = CAAMoslemCalendar::MoslemToJulian(1421, 1, 1); - CAACalendarDate GregorianDate = CAADate::JulianToGregorian(JulianDate.Year, JulianDate.Month, JulianDate.Day); - CAACalendarDate JulianDate2 = CAADate::GregorianToJulian(GregorianDate.Year, GregorianDate.Month, GregorianDate.Day); - CAACalendarDate MoslemDate = CAAMoslemCalendar::JulianToMoslem(JulianDate2.Year, JulianDate2.Month, JulianDate2.Day); - bLeap = CAAMoslemCalendar::IsLeap(1421); - UNREFERENCED_PARAMETER(bLeap); - - MoslemDate = CAAMoslemCalendar::JulianToMoslem(2006, 12, 31); - CAACalendarDate OriginalMoslemDate = CAAMoslemCalendar::MoslemToJulian(MoslemDate.Year, MoslemDate.Month, MoslemDate.Day); - MoslemDate = CAAMoslemCalendar::JulianToMoslem(2007, 1, 1); - OriginalMoslemDate = CAAMoslemCalendar::MoslemToJulian(MoslemDate.Year, MoslemDate.Month, MoslemDate.Day); - - CAACalendarDate JulianDate3 = CAADate::GregorianToJulian(1991, 8, 13); - CAACalendarDate MoslemDate2 = CAAMoslemCalendar::JulianToMoslem(JulianDate3.Year, JulianDate3.Month, JulianDate3.Day); - CAACalendarDate JulianDate4 = CAAMoslemCalendar::MoslemToJulian(MoslemDate2.Year, MoslemDate2.Month, MoslemDate2.Day); - CAACalendarDate GregorianDate2 = CAADate::JulianToGregorian(JulianDate4.Year, JulianDate4.Month, JulianDate4.Day); - UNREFERENCED_PARAMETER(GregorianDate2); - - CAACalendarDate JewishDate = CAAJewishCalendar::DateOfPesach(1990); - bLeap = CAAJewishCalendar::IsLeap(JewishDate.Year); - bLeap = CAAJewishCalendar::IsLeap(5751); - long DaysInJewishYear = CAAJewishCalendar::DaysInYear(JewishDate.Year); - DaysInJewishYear = CAAJewishCalendar::DaysInYear(5751); - UNREFERENCED_PARAMETER(DaysInJewishYear); - - - CAANearParabolicObjectElements elements6; - //Try the Near Parabolic classes using the same sample for comet Levy as for CAAParabolic - elements6.q = 0.93858; - elements6.i = 131.5856; - elements6.omega = 139.2313; - elements6.w = 242.6797; - elements6.T = CAADate::DateToJD(1990, 10, 24.6954, true); - elements6.JDEquinox = elements2.T; //Of the day - JDCalc = CAADynamicalTime::UTC2TT(CAADate::DateToJD(1990, 8, 22.0, true)); - CAANearParabolicObjectDetails details3 = CAANearParabolic::Calculate(JDCalc, elements6, false); - CAANearParabolicObjectDetails details4 = CAANearParabolic::Calculate(JDCalc, elements6, true); - - elements6.q = 0.921326; - elements6.e = 1; - elements6.i = 0; //unknown - elements6.omega = 0; //unknown - elements6.w = 0; //unknown - elements6.T = 0; - elements6.JDEquinox = 0; - details3 = CAANearParabolic::Calculate(138.4783, elements6, false); - details4 = CAANearParabolic::Calculate(138.4783, elements6, true); - - elements6.q = 0.1; - elements6.e = 0.987; - details3 = CAANearParabolic::Calculate(254.9, elements6, false); - details4 = CAANearParabolic::Calculate(254.9, elements6, true); - - elements6.q = 0.123456; - elements6.e = 0.99997; - details3 = CAANearParabolic::Calculate(-30.47, elements6, false); - details4 = CAANearParabolic::Calculate(-30.47, elements6, true); - - elements6.q = 3.363943; - elements6.e = 1.05731; - details3 = CAANearParabolic::Calculate(1237.1, elements6, false); - details4 = CAANearParabolic::Calculate(1237.1, elements6, true); - - elements6.q = 0.5871018; - elements6.e = 0.9672746; - details3 = CAANearParabolic::Calculate(20, elements6, false); - details4 = CAANearParabolic::Calculate(20, elements6, true); - - details3 = CAANearParabolic::Calculate(0, elements6, false); - details4 = CAANearParabolic::Calculate(0, elements6, false); - - CAAEclipticalElementDetails ed5 = CAAEclipticalElements::Calculate(131.5856, 242.6797, 138.6637, 2433282.4235, 2448188.500000 + 0.6954-63.6954); - UNREFERENCED_PARAMETER(ed5); - CAAEclipticalElementDetails ed6 = CAAEclipticalElements::Calculate(131.5856, 242.6797, 138.6637, 2433282.4235, 2433282.4235); - UNREFERENCED_PARAMETER(ed6); - CAAEclipticalElementDetails ed7 = CAAEclipticalElements::FK4B1950ToFK5J2000(131.5856, 242.6797, 138.6637); - UNREFERENCED_PARAMETER(ed7); - - elements6.q = 0.93858; - elements6.e = 1.000270; - elements6.i = ed5.i; - elements6.omega = ed5.omega; - elements6.w = ed5.w; - elements6.T = 2448188.500000 + 0.6954; - elements6.JDEquinox = elements6.T; - CAANearParabolicObjectDetails details6 = CAANearParabolic::Calculate(elements6.T-63.6954, elements6, false); - UNREFERENCED_PARAMETER(details6); - CAANearParabolicObjectDetails details7 = CAANearParabolic::Calculate(elements6.T - 63.6954, elements6, true); - UNREFERENCED_PARAMETER(details7); - -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - //A sample test for Mercury VSOP87 as taken from vsop87.chk - double fA = CAAVSOP87_Mercury::A(2451545.0); - UNREFERENCED_PARAMETER(fA); - double fL = CAAVSOP87_Mercury::L(2451545.0); - UNREFERENCED_PARAMETER(fL); - double fK = CAAVSOP87_Mercury::K(2451545.0); - UNREFERENCED_PARAMETER(fK); - double fH = CAAVSOP87_Mercury::H(2451545.0); - UNREFERENCED_PARAMETER(fH); - double fQ = CAAVSOP87_Mercury::Q(2451545.0); - UNREFERENCED_PARAMETER(fQ); - double fP = CAAVSOP87_Mercury::P(2451545.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Venus VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Venus::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Venus::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Venus::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Venus::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Venus::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Venus::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Mars VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Mars::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Mars::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Mars::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Mars::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Mars::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Mars::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Jupiter VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Jupiter::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Jupiter::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Jupiter::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Jupiter::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Jupiter::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Jupiter::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Saturn VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Saturn::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Saturn::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Saturn::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Saturn::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Saturn::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Saturn::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Uranus VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Uranus::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Uranus::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Uranus::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Uranus::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Uranus::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Uranus::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Neptune VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_Neptune::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_Neptune::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_Neptune::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_Neptune::K(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_Neptune::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_Neptune::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for EMB VSOP87 as taken from vsop87.chk - fA = CAAVSOP87_EMB::A(2305445.0); - UNREFERENCED_PARAMETER(fA); - fL = CAAVSOP87_EMB::L(2305445.0); - UNREFERENCED_PARAMETER(fL); - fK = CAAVSOP87_EMB::K(2305445.0); - UNREFERENCED_PARAMETER(fK); - fH = CAAVSOP87_EMB::H(2305445.0); - UNREFERENCED_PARAMETER(fH); - fQ = CAAVSOP87_EMB::Q(2305445.0); - UNREFERENCED_PARAMETER(fQ); - fP = CAAVSOP87_EMB::P(2305445.0); - UNREFERENCED_PARAMETER(fP); - - //A sample test for Mercury VSOP87A as taken from vsop87.chk - double fX = CAAVSOP87A_Mercury::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - double fY = CAAVSOP87A_Mercury::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - double fZ = CAAVSOP87A_Mercury::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - double fXDash = CAAVSOP87A_Mercury::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - double fYDash = CAAVSOP87A_Mercury::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - double fZDash = CAAVSOP87A_Mercury::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Venus VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Venus::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Venus::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Venus::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Venus::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Venus::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Venus::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Earth VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Earth::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Earth::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Earth::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Earth::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Earth::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Earth::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for EMB VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_EMB::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_EMB::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_EMB::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_EMB::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_EMB::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_EMB::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mars VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Mars::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Mars::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Mars::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Mars::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Mars::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Mars::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Jupiter VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Jupiter::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Jupiter::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Jupiter::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Jupiter::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Jupiter::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Jupiter::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Saturn VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Saturn::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Saturn::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Saturn::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Saturn::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Saturn::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Saturn::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Uranus VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Uranus::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Uranus::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Uranus::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Uranus::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Uranus::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Uranus::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Neptune VSOP87A as taken from vsop87.chk - fX = CAAVSOP87A_Neptune::X(2341970.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87A_Neptune::Y(2341970.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87A_Neptune::Z(2341970.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87A_Neptune::X_DASH(2341970.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87A_Neptune::Y_DASH(2341970.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87A_Neptune::Z_DASH(2341970.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mercury VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Mercury::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - double fB = CAAVSOP87B_Mercury::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - double fR = CAAVSOP87B_Mercury::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - double fLDash = CAAVSOP87B_Mercury::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - double fBDash = CAAVSOP87B_Mercury::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - double fRDash = CAAVSOP87B_Mercury::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Venus VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Mercury::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Mercury::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Mercury::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Mercury::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Mercury::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Mercury::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Earth VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Earth::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Earth::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Earth::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Earth::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Earth::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Earth::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Mars VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Mars::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Mars::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Mars::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Mars::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Mars::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Mars::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Jupiter VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Jupiter::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Jupiter::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Jupiter::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Jupiter::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Jupiter::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Jupiter::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Saturn VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Saturn::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Saturn::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Saturn::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Saturn::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Saturn::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Saturn::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Uranus VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Uranus::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Uranus::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Uranus::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Uranus::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Uranus::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Uranus::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Neptune VSOP87B as taken from vsop87.chk - fL = CAAVSOP87B_Neptune::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87B_Neptune::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87B_Neptune::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87B_Neptune::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87B_Neptune::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87B_Neptune::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Mercury VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Mercury::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Mercury::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Mercury::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Mercury::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Mercury::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Mercury::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Venus VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Venus::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Venus::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Venus::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Venus::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Venus::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Venus::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Earth VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Earth::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Earth::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Earth::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Earth::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Earth::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Earth::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mars VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Mars::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Mars::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Mars::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Mars::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Mars::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Mars::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Jupiter VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Jupiter::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Jupiter::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Jupiter::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Jupiter::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Jupiter::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Jupiter::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Saturn VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Saturn::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Saturn::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Saturn::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Saturn::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Saturn::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Saturn::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Uranus VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Uranus::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Uranus::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Uranus::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Uranus::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Uranus::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Uranus::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Neptune VSOP87C as taken from vsop87.chk - fX = CAAVSOP87C_Neptune::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87C_Neptune::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87C_Neptune::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87C_Neptune::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87C_Neptune::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87C_Neptune::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mercury VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Mercury::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Mercury::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Mercury::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Mercury::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Mercury::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Mercury::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Venus VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Venus::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Venus::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Venus::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Venus::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Venus::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Venus::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Earth VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Earth::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Earth::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Earth::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Earth::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Earth::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Earth::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Mars VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Mars::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Mars::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Mars::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Mars::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Mars::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Mars::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Jupiter VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Jupiter::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Jupiter::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Jupiter::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Jupiter::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Jupiter::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Jupiter::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Saturn VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Saturn::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Saturn::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Saturn::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Saturn::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Saturn::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Saturn::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Uranus VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Uranus::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Uranus::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Uranus::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Uranus::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Uranus::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Uranus::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Neptune VSOP87D as taken from vsop87.chk - fL = CAAVSOP87D_Neptune::L(2122820.0); - UNREFERENCED_PARAMETER(fL); - fB = CAAVSOP87D_Neptune::B(2122820.0); - UNREFERENCED_PARAMETER(fB); - fR = CAAVSOP87D_Neptune::R(2122820.0); - UNREFERENCED_PARAMETER(fR); - fLDash = CAAVSOP87D_Neptune::L_DASH(2122820.0); - UNREFERENCED_PARAMETER(fLDash); - fBDash = CAAVSOP87D_Neptune::B_DASH(2122820.0); - UNREFERENCED_PARAMETER(fBDash); - fRDash = CAAVSOP87D_Neptune::R_DASH(2122820.0); - UNREFERENCED_PARAMETER(fRDash); - - //A sample test for Sun VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Sun::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Sun::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Sun::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Sun::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Sun::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Sun::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mercury VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Mercury::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Mercury::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Mercury::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Mercury::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Mercury::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Mercury::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Venus VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Venus::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Venus::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Venus::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Venus::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Venus::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Venus::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Earth VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Earth::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Earth::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Earth::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Earth::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Earth::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Earth::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Mars VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Mars::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Mars::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Mars::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Mars::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Mars::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Mars::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Jupiter VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Jupiter::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Jupiter::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Jupiter::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Jupiter::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Jupiter::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Jupiter::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Saturn VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Saturn::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Saturn::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Saturn::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Saturn::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Saturn::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Saturn::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Uranus VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Uranus::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Uranus::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Uranus::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Uranus::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Uranus::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Uranus::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); - - //A sample test for Neptune VSOP87E as taken from vsop87.chk - fX = CAAVSOP87E_Neptune::X(2195870.0); - UNREFERENCED_PARAMETER(fX); - fY = CAAVSOP87E_Neptune::Y(2195870.0); - UNREFERENCED_PARAMETER(fY); - fZ = CAAVSOP87E_Neptune::Z(2195870.0); - UNREFERENCED_PARAMETER(fZ); - fXDash = CAAVSOP87E_Neptune::X_DASH(2195870.0); - UNREFERENCED_PARAMETER(fXDash); - fYDash = CAAVSOP87E_Neptune::Y_DASH(2195870.0); - UNREFERENCED_PARAMETER(fYDash); - fZDash = CAAVSOP87E_Neptune::Z_DASH(2195870.0); - UNREFERENCED_PARAMETER(fZDash); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - return 0; -} diff --git a/Vendor/AA+/1.6.3/AATest.sln b/Vendor/AA+/1.6.3/AATest.sln deleted file mode 100755 index ba9a6db..0000000 --- a/Vendor/AA+/1.6.3/AATest.sln +++ /dev/null @@ -1,20 +0,0 @@ - -Microsoft Visual Studio Solution File, Format Version 9.00 -# Visual Studio 2005 -Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "AATest", "AATest.vcproj", "{8DFBA441-A9EC-43A0-9744-3DECC5BA76E7}" -EndProject -Global - GlobalSection(SolutionConfigurationPlatforms) = preSolution - Debug|Win32 = Debug|Win32 - Release|Win32 = Release|Win32 - EndGlobalSection - GlobalSection(ProjectConfigurationPlatforms) = postSolution - {8DFBA441-A9EC-43A0-9744-3DECC5BA76E7}.Debug|Win32.ActiveCfg = Debug|Win32 - {8DFBA441-A9EC-43A0-9744-3DECC5BA76E7}.Debug|Win32.Build.0 = Debug|Win32 - {8DFBA441-A9EC-43A0-9744-3DECC5BA76E7}.Release|Win32.ActiveCfg = Release|Win32 - {8DFBA441-A9EC-43A0-9744-3DECC5BA76E7}.Release|Win32.Build.0 = Release|Win32 - EndGlobalSection - GlobalSection(SolutionProperties) = preSolution - HideSolutionNode = FALSE - EndGlobalSection -EndGlobal diff --git a/Vendor/AA+/1.6.3/AATest.vcproj b/Vendor/AA+/1.6.3/AATest.vcproj deleted file mode 100755 index f37f578..0000000 --- a/Vendor/AA+/1.6.3/AATest.vcproj +++ /dev/null @@ -1,2027 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/Vendor/AA+/1.6.3/AAUranus.cpp b/Vendor/AA+/1.6.3/AAUranus.cpp deleted file mode 100755 index a9eba36..0000000 --- a/Vendor/AA+/1.6.3/AAUranus.cpp +++ /dev/null @@ -1,658 +0,0 @@ -/* -Module : AAURANUS.CPP -Purpose: Implementation for the algorithms which obtain the heliocentric position of Uranus -Created: PJN / 29-12-2003 -History: PJN / 18-03-2012 1. All global "g_*" tables are now const. Thanks to Roger Dahl for reporting this - issue when compiling AA+ on ARM. - PJN / 16-09-2015 1. CAAUranus::EclipticLongitude, EclipticLatitude & RadiusVector now include a - "bool bHighPrecision" parameter which if set to true means the code uses the full - VSOP87 theory rather than the truncated theory as presented in Meeus's book. - -Copyright (c) 2003 - 2015 by PJ Naughter (Web: www.naughter.com, Email: pjna@naughter.com) - -All rights reserved. - -Copyright / Usage Details: - -You are allowed to include the source code in any product (commercial, shareware, freeware or otherwise) -when your product is released in binary form. You are allowed to modify the source code in any way you want -except you cannot modify the copyright details at the top of each module. If you want to distribute source -code with your application, then you are only allowed to distribute versions released by the author. This is -to maintain a single distribution point for the source code. - -*/ - - -////////////////////////////////// Includes /////////////////////////////////// - -#include "stdafx.h" -#include "AAUranus.h" -#include "AACoordinateTransformation.h" -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include "AAVSOP87D_URA.h" -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION -#include -using namespace std; - - -////////////////////////////////// Macros / Defines /////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0UranusCoefficients[] = -{ - { 548129294, 0, 0 }, - { 9260408, 0.8910642, 74.7815986 }, - { 1504248, 3.6271926, 1.4844727 }, - { 365982, 1.899622, 73.297126 }, - { 272328, 3.358237, 149.563197 }, - { 70328, 5.39254, 63.73590 }, - { 68893, 6.09292, 76.26607 }, - { 61999, 2.26952, 2.96895 }, - { 61951, 2.85099, 11.04570 }, - { 26469, 3.14152, 71.81265 }, - { 25711, 6.11380, 454.90937 }, - { 21079, 4.36059, 148.07872 }, - { 17819, 1.74437, 36.64856 }, - { 14613, 4.73732, 3.93215 }, - { 11163, 5.82682, 224.34480 }, - { 10998, 0.48865, 138.51750 }, - { 9527, 2.9552, 35.1641 }, - { 7546, 5.2363, 109.9457 }, - { 4220, 3.2333, 70.8494 }, - { 4052, 2.2775, 151.0477 }, - { 3490, 5.4831, 146.5943 }, - { 3355, 1.0655, 4.4534 }, - { 3144, 4.7520, 77.7505 }, - { 2927, 4.6290, 9.5612 }, - { 2922, 5.3524, 85.8273 }, - { 2273, 4.3660, 70.3282 }, - { 2149, 0.6075, 38.1330 }, - { 2051, 1.5177, 0.1119 }, - { 1992, 4.9244, 277.0350 }, - { 1667, 3.6274, 380.1278 }, - { 1533, 2.5859, 52.6902 }, - { 1376, 2.0428, 65.2204 }, - { 1372, 4.1964, 111.4302 }, - { 1284, 3.1135, 202.2534 }, - { 1282, 0.5427, 222.8603 }, - { 1244, 0.9161, 2.4477 }, - { 1221, 0.1990, 108.4612 }, - { 1151, 4.1790, 33.6796 }, - { 1150, 0.9334, 3.1814 }, - { 1090, 1.7750, 12.5302 }, - { 1072, 0.2356, 62.2514 }, - { 946, 1.192, 127.472 }, - { 708, 5.183, 213.299 }, - { 653, 0.966, 78.714 }, - { 628, 0.182, 984.600 }, - { 607, 5.432, 529.691 }, - { 559, 3.358, 0.521 }, - { 524, 2.013, 299.126 }, - { 483, 2.106, 0.963 }, - { 471, 1.407, 184.727 }, - { 467, 0.415, 145.110 }, - { 434, 5.521, 183.243 }, - { 405, 5.987, 8.077 }, - { 399, 0.338, 415.552 }, - { 396, 5.870, 351.817 }, - { 379, 2.350, 56.622 }, - { 310, 5.833, 145.631 }, - { 300, 5.644, 22.091 }, - { 294, 5.839, 39.618 }, - { 252, 1.637, 221.376 }, - { 249, 4.746, 225.829 }, - { 239, 2.350, 137.033 }, - { 224, 0.516, 84.343 }, - { 223, 2.843, 0.261 }, - { 220, 1.922, 67.668 }, - { 217, 6.142, 5.938 }, - { 216, 4.778, 340.771 }, - { 208, 5.580, 68.844 }, - { 202, 1.297, 0.048 }, - { 199, 0.956, 152.532 }, - { 194, 1.888, 456.394 }, - { 193, 0.916, 453.425 } , - { 187, 1.319, 0.160 }, - { 182, 3.536, 79.235 }, - { 173, 1.539, 160.609 }, - { 172, 5.680, 219.891 }, - { 170, 3.677, 5.417 }, - { 169, 5.879, 18.159 }, - { 165, 1.424, 106.977 }, - { 163, 3.050, 112.915 }, - { 158, 0.738, 54.175 }, - { 147, 1.263, 59.804 }, - { 143, 1.300, 35.425 }, - { 139, 5.386, 32.195 }, - { 139, 4.260, 909.819 }, - { 124, 1.374, 7.114 }, - { 110, 2.027, 554.070 }, - { 109, 5.706, 77.963 }, - { 104, 5.028, 0.751 }, - { 104, 1.458, 24.379 }, - { 103, 0.681, 14.978 } -}; - -const VSOP87Coefficient g_L1UranusCoefficients[] = -{ - { 7502543122.0, 0, 0 }, - { 154458, 5.242017, 74.781599 }, - { 24456, 1.71256, 1.48447 }, - { 9258, 0.4284, 11.0457 }, - { 8266, 1.5022, 63.7359 }, - { 7842, 1.3198, 149.5632 }, - { 3899, 0.4648, 3.9322 }, - { 2284, 4.1737, 76.2661 }, - { 1927, 0.5301, 2.9689 }, - { 1233, 1.5863, 70.8494 }, - { 791, 5.436, 3.181 }, - { 767, 1.996, 73.297 }, - { 482, 2.984, 85.827 }, - { 450, 4.138, 138.517 }, - { 446, 3.723, 224.345 }, - { 427, 4.731, 71.813 }, - { 354, 2.583, 148.079 }, - { 348, 2.454, 9.561 }, - { 317, 5.579, 52.690 }, - { 206, 2.363, 2.448 }, - { 189, 4.202, 56.622 }, - { 184, 0.284, 151.048 }, - { 180, 5.684, 12.530 }, - { 171, 3.001, 78.714 }, - { 158, 2.909, 0.963 }, - { 155, 5.591, 4.453 }, - { 154, 4.652, 35.164 }, - { 152, 2.942, 77.751 }, - { 143, 2.590, 62.251 }, - { 121, 4.148, 127.472 }, - { 116, 3.732, 65.220 }, - { 102, 4.188, 145.631 }, - { 102, 6.034, 0.112 }, - { 88, 3.99, 18.16 }, - { 88, 6.16, 202.25 }, - { 81, 2.64, 22.09 }, - { 72, 6.05, 70.33 }, - { 69, 4.05, 77.96 }, - { 59, 3.70, 67.67 }, - { 47, 3.54, 351.82 }, - { 44, 5.91, 7.11 }, - { 43, 5.72, 5.42 }, - { 39, 4.92, 222.86 }, - { 36, 5.90, 33.68 }, - { 36, 3.29, 8.08 }, - { 36, 3.33, 71.60 }, - { 35, 5.08, 38.13 }, - { 31, 5.62, 984.60 }, - { 31, 5.50, 59.80 }, - { 31, 5.46, 160.61 }, - { 30, 1.66, 447.80 }, - { 29, 1.15, 462.02 }, - { 29, 4.52, 84.34 }, - { 27, 5.54, 131.40 }, - { 27, 6.15, 299.13 }, - { 26, 4.99, 137.03 }, - { 25, 5.74, 380.13 } -}; - -const VSOP87Coefficient g_L2UranusCoefficients[] = -{ - { 53033, 0, 0 }, - { 2358, 2.2601, 74.7816 }, - { 769, 4.526, 11.046 }, - { 552, 3.258, 63.736 }, - { 542, 2.276, 3.932 }, - { 529, 4.923, 1.484 }, - { 258, 3.691, 3.181 }, - { 239, 5.858, 149.563 }, - { 182, 6.218, 70.849 }, - { 54, 1.44, 76.27 }, - { 49, 6.03, 56.62 }, - { 45, 3.91, 2.45 }, - { 45, 0.81, 85.83 }, - { 38, 1.78, 52.69 }, - { 37, 4.46, 2.97 }, - { 33, 0.86, 9.56 }, - { 29, 5.10, 73.30 }, - { 24, 2.11, 18.16 }, - { 22, 5.99, 138.52 }, - { 22, 4.82, 78.71 }, - { 21, 2.40, 77.96 }, - { 21, 2.17, 224.34 }, - { 17, 2.54, 145.63 }, - { 17, 3.47, 12.53 }, - { 12, 0.02, 22.09 }, - { 11, 0.08, 127.47 }, - { 10, 5.16, 71.60 }, - { 10, 4.46, 62.25 }, - { 9, 4.26, 7.11 }, - { 8, 5.50, 67.67 }, - { 7, 1.25, 5.42 }, - { 6, 3.36, 447.80 }, - { 6, 5.45, 65.22 }, - { 6, 4.52, 151.05 }, - { 6, 5.73, 462.02 } -}; - -const VSOP87Coefficient g_L3UranusCoefficients[] = -{ - { 121, 0.024, 74.782 }, - { 68, 4.12, 3.93 }, - { 53, 2.39, 11.05 }, - { 46, 0, 0 }, - { 45, 2.04, 3.18 }, - { 44, 2.96, 1.48 }, - { 25, 4.89, 63.74 }, - { 21, 4.55, 70.85 }, - { 20, 2.31, 149.56 }, - { 9, 1.58, 56.62 }, - { 4, 0.23, 18.16 }, - { 4, 5.39, 76.27 }, - { 4, 0.95, 77.96 }, - { 3, 4.98, 85.83 }, - { 3, 4.13, 52.69 }, - { 3, 0.37, 78.71 }, - { 2, 0.86, 145.63 }, - { 2, 5.66, 9.56 } -}; - -const VSOP87Coefficient g_L4UranusCoefficients[] = -{ - { 114, 3.142, 0 }, - { 6, 4.58, 74.78 }, - { 3, 0.35, 11.05 }, - { 1, 3.42, 56.62 } -}; - -const VSOP87Coefficient g_B0UranusCoefficients[] = -{ - { 1346278, 2.6187781, 74.7815986 }, - { 62341, 5.08111, 149.56320 }, - { 61601, 3.14159, 0 }, - { 9964, 1.6160, 76.2661 }, - { 9926, 0.5763, 73.2971 }, - { 3259, 1.2612, 224.3448 }, - { 2972, 2.2437, 1.4845 }, - { 2010, 6.0555, 148.0787 }, - { 1522, 0.2796, 63.7359 }, - { 924, 4.038, 151.048 }, - { 761, 6.140, 71.813 }, - { 522, 3.321, 138.517 }, - { 463, 0.743, 85.827 }, - { 437, 3.381, 529.691 }, - { 435, 0.341, 77.751 }, - { 431, 3.554, 213.299 }, - { 420, 5.213, 11.046 }, - { 245, 0.788, 2.969 }, - { 233, 2.257, 222.860 }, - { 216, 1.591, 38.133 }, - { 180, 3.725, 299.126 }, - { 175, 1.236, 146.594 }, - { 174, 1.937, 380.128 }, - { 160, 5.336, 111.430 }, - { 144, 5.962, 35.164 }, - { 116, 5.739, 70.849 }, - { 106, 0.941, 70.328 }, - { 102, 2.619, 78.714 } -}; - -const VSOP87Coefficient g_B1UranusCoefficients[] = -{ - { 206366, 4.123943, 74.781599 }, - { 8563, 0.3382, 149.5632 }, - { 1726, 2.1219, 73.2971 }, - { 1374, 0, 0 }, - { 1369, 3.0686, 76.2661 }, - { 451, 3.777, 1.484 }, - { 400, 2.848, 224.345 }, - { 307, 1.255, 148.079 }, - { 154, 3.786, 63.736 }, - { 112, 5.573, 151.048 }, - { 111, 5.329, 138.517 }, - { 83, 3.59, 71.81 }, - { 56, 3.40, 85.83 }, - { 54, 1.70, 77.75 }, - { 42, 1.21, 11.05 }, - { 41, 4.45, 78.71 }, - { 32, 3.77, 222.86 }, - { 30, 2.56, 2.97 }, - { 27, 5.34, 213.30 }, - { 26, 0.42, 380.13 } -}; - -const VSOP87Coefficient g_B2UranusCoefficients[] = -{ - { 9212, 5.8004, 74.7816 }, - { 557, 0, 0}, - { 286, 2.177, 149.563 }, - { 95, 3.84, 73.30 }, - { 45, 4.88, 76.27 }, - { 20, 5.46, 1.48 }, - { 15, 0.88, 138.52 }, - { 14, 2.85, 148.08 }, - { 14, 5.07, 63.74 }, - { 10, 5.00, 224.34 }, - { 8, 6.27, 78.71 } -}; - -const VSOP87Coefficient g_B3UranusCoefficients[] = -{ - { 268, 1.251, 74.782 }, - { 11, 3.14, 0 }, - { 6, 4.01, 149.56 }, - { 3, 5.78, 73.30 } -}; - -const VSOP87Coefficient g_B4UranusCoefficients[] = -{ - { 6, 2.85, 74.78 } -}; - -const VSOP87Coefficient g_R0UranusCoefficients[] = -{ - { 1921264848, 0, 0 }, - { 88784984, 5.60377527, 74.78159857 }, - { 3440836, 0.3283610, 73.2971259 }, - { 2055653, 1.7829517, 149.5631971 }, - { 649322, 4.522473, 76.266071 }, - { 602248, 3.860038, 63.735898 }, - { 496404, 1.401399, 454.909367 }, - { 338526, 1.580027, 138.517497 }, - { 243508, 1.570866, 71.812653 }, - { 190522, 1.998094, 1.484473 }, - { 161858, 2.791379, 148.078724 }, - { 143706, 1.383686, 11.045700 }, - { 93192, 0.17437, 36.64856 }, - { 89806, 3.66105, 109.94569 }, - { 71424, 4.24509, 224.34480 }, - { 46677, 1.39977, 35.16409 }, - { 39026, 3.36235, 277.03499 }, - { 39010, 1.66971, 70.84945 }, - { 36755, 3.88649, 146.59425 }, - { 30349, 0.70100, 151.04767 }, - { 29156, 3.18056, 77.75054 }, - { 25786, 3.78538, 85.82730 }, - { 25620, 5.25656, 380.12777 }, - { 22637, 0.72519, 529.69097 }, - { 20473, 2.79640, 70.32818 }, - { 20472, 1.55589, 202.25340 }, - { 17901, 0.55455, 2.96895 }, - { 15503, 5.35405, 38.13304 }, - { 14702, 4.90434, 108.46122 }, - { 12897, 2.62154, 111.43016 }, - { 12328, 5.96039, 127.47180 }, - { 11959, 1.75044, 984.60033 }, - { 11853, 0.99343, 52.69020 }, - { 11696, 3.29826, 3.93215 }, - { 11495, 0.43774, 65.22037 }, - { 10793, 1.42105, 213.29910 }, - { 9111, 4.9964, 62.2514 }, - { 8421, 5.2535, 222.8603 }, - { 8402, 5.0388, 415.5525 }, - { 7449, 0.7949, 351.8166 }, - { 7329, 3.9728, 183.2428 }, - { 6046, 5.6796, 78.7138 }, - { 5524, 3.1150, 9.5612 }, - { 5445, 5.1058, 145.1098 }, - { 5238, 2.6296, 33.6796 }, - { 4079, 3.2206, 340.7709 }, - { 3919, 4.2502, 39.6175 }, - { 3802, 6.1099, 184.7273 }, - { 3781, 3.4584, 456.3938 }, - { 3687, 2.4872, 453.4249 }, - { 3102, 4.1403, 219.8914 }, - { 2963, 0.8298, 56.6224 }, - { 2942, 0.4239, 299.1264 }, - { 2940, 2.1464, 137.0330 }, - { 2938, 3.6766, 140.0020 }, - { 2865, 0.3100, 12.5302 }, - { 2538, 4.8546, 131.4039 }, - { 2364, 0.4425, 554.0700 }, - { 2183, 2.9404, 305.3462 } -}; - -const VSOP87Coefficient g_R1UranusCoefficients[] = -{ - { 1479896, 3.6720571, 74.7815986 }, - { 71212, 6.22601, 63.73590 }, - { 68627, 6.13411, 149.56320 }, - { 24060, 3.14159, 0 }, - { 21468, 2.60177, 76.26607 }, - { 20857, 5.24625, 11.04570 }, - { 11405, 0.01848, 70.84945 }, - { 7497, 0.4236, 73.2971 }, - { 4244, 1.4169, 85.8273 }, - { 3927, 3.1551, 71.8127 }, - { 3578, 2.3116, 224.3448 }, - { 3506, 2.5835, 138.5175 }, - { 3229, 5.2550, 3.9322 }, - { 3060, 0.1532, 1.4845 }, - { 2564, 0.9808, 148.0787 }, - { 2429, 3.9944, 52.6902 }, - { 1645, 2.6535, 127.4718 }, - { 1584, 1.4305, 78.7138 }, - { 1508, 5.0600, 151.0477 }, - { 1490, 2.6756, 56.6224 }, - { 1413, 4.5746, 202.2534 }, - { 1403, 1.3699, 77.7505 }, - { 1228, 1.0470, 62.2514 }, - { 1033, 0.2646, 131.4039 }, - { 992, 2.172, 65.220 }, - { 862, 5.055, 351.817 }, - { 744, 3.076, 35.164 }, - { 687, 2.499, 77.963 }, - { 647, 4.473, 70.328 }, - { 624, 0.863, 9.561 }, - { 604, 0.907, 984.600 }, - { 575, 3.231, 447.796 }, - { 562, 2.718, 462.023 }, - { 530, 5.917, 213.299 }, - { 528, 5.151, 2.969 } -}; - -const VSOP87Coefficient g_R2UranusCoefficients[] = -{ - { 22440, 0.69953, 74.78160 }, - { 4727, 1.6990, 63.7359 }, - { 1682, 4.6483, 70.8494 }, - { 1650, 3.0966, 11.0457 }, - { 1434, 3.5212, 149.5632 }, - { 770, 0, 0 }, - { 500, 6.172, 76.266 }, - { 461, 0.767, 3.932 }, - { 390, 4.496, 56.622 }, - { 390, 5.527, 85.827 }, - { 292, 0.204, 52.690 }, - { 287, 3.534, 73.297 }, - { 273, 3.847, 138.517 }, - { 220, 1.964, 131.404 }, - { 216, 0.848, 77.963 }, - { 205, 3.248, 78.714 }, - { 149, 4.898, 127.472 }, - { 129, 2.081, 3.181 } -}; - -const VSOP87Coefficient g_R3UranusCoefficients[] = -{ - { 1164, 4.7345, 74.7816 }, - { 212, 3.343, 63.736 }, - { 196, 2.980, 70.849 }, - { 105, 0.958, 11.046 }, - { 73, 1.00, 149.56 }, - { 72, 0.03, 56.62 }, - { 55, 2.59, 3.93 }, - { 36, 5.65, 77.96 }, - { 34, 3.82, 76.27 }, - { 32, 3.60, 131.40 } -}; - -const VSOP87Coefficient g_R4UranusCoefficients[] = -{ - { 53, 3.01, 74.78 }, - { 10, 1.91, 56.62 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -/////////////////////////////// Implementation //////////////////////////////// - -double CAAUranus::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Uranus::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0UranusCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i -using namespace std; - - -////////////////////////////// Implementation /////////////////////////////// - -double CVSOP87::Calculate(double JD, const VSOP87Coefficient2* pTable, int nTableSize, bool bAngle) -{ - double T = (JD - 2451545) / 365250; - double TTerm = T; - double Result = 0; - for (int i = 0; i -using namespace std; - - -//////////////////////////////// Macros / Defines ///////////////////////////////////////// - -struct VSOP87Coefficient -{ - double A; - double B; - double C; -}; - -const VSOP87Coefficient g_L0VenusCoefficients[] = -{ - { 317614667, 0, 0 }, - { 1353968, 5.5931332, 10213.2855462 }, - { 89892, 5.30650, 20426.57109 }, - { 5477, 4.4163, 7860.4194 }, - { 3456, 2.6996, 11790.6291 }, - { 2372, 2.9938, 3930.2097 }, - { 1664, 4.2502, 1577.3435 }, - { 1438, 4.1575, 9683.5946 }, - { 1317, 5.1867, 26.2983 }, - { 1201, 6.1536, 30639.8566 }, - { 769, 0.816, 9437.763 }, - { 761, 1.950, 529.691 }, - { 708, 1.065, 775.523 }, - { 585, 3.998, 191.448 }, - { 500, 4.123, 15720.839 }, - { 429, 3.586, 19367.189 }, - { 327, 5.677, 5507.553 }, - { 326, 4.591, 10404.734 }, - { 232, 3.163, 9153.904 }, - { 180, 4.653, 1109.379 }, - { 155, 5.570, 19651.048 }, - { 128, 4.226, 20.775 }, - { 128, 0.962, 5661.332 }, - { 106, 1.537, 801.821 } -}; - -const VSOP87Coefficient g_L1VenusCoefficients[] = -{ - { 1021352943053.0, 0, 0 }, - { 95708, 2.46424, 10213.28555 }, - { 14445, 0.51625, 20426.57109 }, - { 213, 1.795, 30639.857 }, - { 174, 2.655, 26.298 }, - { 152, 6.106, 1577.344 }, - { 82, 5.70, 191.45 }, - { 70, 2.68, 9437.76 }, - { 52, 3.60, 775.52 }, - { 38, 1.03, 529.69 }, - { 30, 1.25, 5507.55 }, - { 25, 6.11, 10404.73 } -}; - -const VSOP87Coefficient g_L2VenusCoefficients[] = -{ - { 54127, 0, 0 }, - { 3891, 0.3451, 10213.2855 }, - { 1338, 2.0201, 20426.5711 }, - { 24, 2.05, 26.30 }, - { 19, 3.54, 30639.86 }, - { 10, 3.97, 775.52 }, - { 7, 1.52, 1577.34 }, - { 6, 1.00, 191.45 } -}; - -const VSOP87Coefficient g_L3VenusCoefficients[] = -{ - { 136, 4.804, 10213.286 }, - { 78, 3.67, 20426.57}, - { 26, 0, 0 } -}; - -const VSOP87Coefficient g_L4VenusCoefficients[] = -{ - { 114, 3.1416, 0 }, - { 3, 5.21, 20426.57 }, - { 2, 2.51, 10213.29 } -}; - -const VSOP87Coefficient g_L5VenusCoefficients[] = -{ - { 1, 3.14, 0 }, -}; - -const VSOP87Coefficient g_B0VenusCoefficients[] = -{ - { 5923638, 0.2670278, 10213.2855462 }, - { 40108, 1.14737, 20426.57109 }, - { 32815, 3.14159, 0 }, - { 1011, 1.0895, 30639.8566 }, - { 149, 6.254, 18073.705 }, - { 138, 0.860, 1577.344 }, - { 130, 3.672, 9437.763 }, - { 120, 3.705, 2352.866 }, - { 108, 4.539, 22003.915 } -}; - -const VSOP87Coefficient g_B1VenusCoefficients[] = -{ - { 513348, 1.803643, 10213.285546 }, - { 4380, 3.3862, 20426.5711 }, - { 199, 0, 0 }, - { 197, 2.530, 30639.857 } -}; - -const VSOP87Coefficient g_B2VenusCoefficients[] = -{ - { 22378, 3.38509, 10213.28555 }, - { 282, 0, 0 }, - { 173, 5.256, 20426.571 }, - { 27, 3.87, 30639.86 } -}; - -const VSOP87Coefficient g_B3VenusCoefficients[] = -{ - { 647, 4.992, 10213.286 }, - { 20, 3.14, 0 }, - { 6, 0.77, 20426.57 }, - { 3, 5.44, 30639.86 } -}; - -const VSOP87Coefficient g_B4VenusCoefficients[] = -{ - { 14, 0.32, 10213.29 } -}; - -const VSOP87Coefficient g_R0VenusCoefficients[] = -{ - { 72334821, 0, 0 }, - { 489824, 4.021518, 10213.285546 }, - { 1658, 4.9021, 20426.5711 }, - { 1632, 2.8455, 7860.4194 }, - { 1378, 1.1285, 11790.6291 }, - { 498, 2.587, 9683.595 }, - { 374, 1.423, 3930.210 }, - { 264, 5.529, 9437.763 }, - { 237, 2.551, 15720.839 }, - { 222, 2.013, 19367.189 }, - { 126, 2.728, 1577.344 }, - { 119, 3.020, 10404.734 } -}; - -const VSOP87Coefficient g_R1VenusCoefficients[] = -{ - { 34551, 0.89199, 10213.28555 }, - { 234, 1.772, 20426.571 }, - { 234, 3.142, 0 } -}; - -const VSOP87Coefficient g_R2VenusCoefficients[] = -{ - { 1407, 5.0637, 10213.2855 }, - { 16, 5.47, 20426.57 }, - { 13, 0, 0 } -}; - -const VSOP87Coefficient g_R3VenusCoefficients[] = -{ - { 50, 3.22, 10213.29 } -}; - -const VSOP87Coefficient g_R4VenusCoefficients[] = -{ - { 1, 0.92, 10213.29 } -}; - -#ifndef UNREFERENCED_PARAMETER -#define UNREFERENCED_PARAMETER(x) ((void)(x)) -#endif //#ifndef UNREFERENCED_PARAMETER - - -//////////////////////////////// Implementation /////////////////////////////////////////// - -double CAAVenus::EclipticLongitude(double JD, bool bHighPrecision) -{ -#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - if (bHighPrecision) - return CAACoordinateTransformation::MapTo0To360Range(CAACoordinateTransformation::RadiansToDegrees(CAAVSOP87D_Venus::L(JD))); -#else - UNREFERENCED_PARAMETER(bHighPrecision); -#endif //#ifndef AAPLUS_VSOP87_NO_HIGH_PRECISION - - double rho = (JD - 2451545) / 365250; - double rhosquared = rho*rho; - double rhocubed = rhosquared*rho; - double rho4 = rhocubed*rho; - double rho5 = rho4*rho; - - //Calculate L0 - int nL0Coefficients = sizeof(g_L0VenusCoefficients) / sizeof(VSOP87Coefficient); - double L0 = 0; - int i; - for (i=0; i 1000 -#pragma once -#endif - -#ifndef STRICT -#define STRICT -#endif - -#ifndef WINVER -#define WINVER 0x0400 -#endif - -#ifndef _WIN32_WINNT -#define _WIN32_WINNT 0x0400 -#endif - -#ifndef _WIN32_WINDOWS -#define _WIN32_WINDOWS 0x0400 -#endif - -#ifndef _WIN32_IE -#define _WIN32_IE 0x0400 -#endif - -#define VC_EXTRALEAN // Exclude rarely-used stuff from Windows headers - -#define _ATL_CSTRING_EXPLICIT_CONSTRUCTORS // some CString constructors will be explicit - -#define _AFX_ALL_WARNINGS // turns off MFC's hiding of some common and often safely ignored warning messages - -//#define AAPLUS_VSOP87_NO_HIGH_PRECISION //Uncomment this to test out excluding support for full VSOP87 support - -#ifndef _SECURE_ATL -#define _SECURE_ATL 1 //Use the Secure C Runtime in ATL -#endif From 4ac9b3b5f9a846e314369e70f4db07f6cd66d2ac Mon Sep 17 00:00:00 2001 From: toddheasley Date: Thu, 31 Mar 2022 15:20:47 -0400 Subject: [PATCH 2/7] Update README --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 8c8d908..c4fdcc3 100644 --- a/README.md +++ b/README.md @@ -4,7 +4,7 @@ ## Usage -Add `AstronomyKit` to any Xcode project via the [package dependencies tab.](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) Alternately, add `AstronomyKit` to the `dependencies` of another Swift package: +Add `AstronomyKit` to any Xcode project via the [package dependencies](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) tab. Alternately, add `AstronomyKit` to the dependencies of another Swift package: ``` .package(url: "https://github.com/hodinkee/AstronomyKit", .branch("spm")) @@ -47,6 +47,6 @@ Requires [Xcode](https://developer.apple.com/xcode) 13.3 or newer to build. ### Platform Targets -* [macOS](https://developer.apple.com/macos) 11 Monterey +* [macOS](https://developer.apple.com/macos) 11 Big Sur * [iOS](https://developer.apple.com/ios)/[iPadOS](https://developer.apple.com/ipados)/[tvOS](https://developer.apple.com/tvos) 14 * [watchOS](https://developer.apple.com/watchos) 7 From cf8240956e2a44f69711ba86ac710eb8b65c34bb Mon Sep 17 00:00:00 2001 From: toddheasley Date: Thu, 31 Mar 2022 15:22:43 -0400 Subject: [PATCH 3/7] Include LICENSE --- LICENSE | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 LICENSE diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..ce3ef64 --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2016 HODINKEE. + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. From 3c83a801e03eb1c0aad9a67adc036d6744e257a1 Mon Sep 17 00:00:00 2001 From: toddheasley Date: Sun, 3 Apr 2022 08:10:27 -0400 Subject: [PATCH 4/7] Update README --- README.md | 16 ++++++++++++++-- 1 file changed, 14 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index c4fdcc3..f1c00c8 100644 --- a/README.md +++ b/README.md @@ -4,10 +4,22 @@ ## Usage -Add `AstronomyKit` to any Xcode project via the [package dependencies](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) tab. Alternately, add `AstronomyKit` to the dependencies of another Swift package: +Use `AstronomyKit` directly in any Xcode project by adding it to the project's [package dependencies.](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) `AstronomyKit` can also be added to the dependencies of another Swift package: ``` -.package(url: "https://github.com/hodinkee/AstronomyKit", .branch("spm")) +import PackageDescription + +let package = Package(name: "example", products: [ + .library(name: "Example", targets: [ + "Example" + ]) + ], dependencies: [ + .package(url: "https://github.com/hodinkee/AstronomyKit", branch: "spm") + ], targets: [ + .target(name: "Example", dependencies: [ + "AstronomyKit" + ]) + ], cxxLanguageStandard: .cxx20) ``` Functionality includes the following calculations: From 7f02e20393ae1e41f1f2a95dcff7c0e88170da1f Mon Sep 17 00:00:00 2001 From: toddheasley Date: Mon, 4 Apr 2022 23:40:54 -0400 Subject: [PATCH 5/7] Update README --- LICENSE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/LICENSE b/LICENSE index ce3ef64..59e0540 100644 --- a/LICENSE +++ b/LICENSE @@ -1,6 +1,6 @@ The MIT License (MIT) -Copyright (c) 2016 HODINKEE. +Copyright (c) 2016 HODINKEE Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal From 2ad5cf5b9f0ef2bda8f755975055fe83fca43626 Mon Sep 17 00:00:00 2001 From: toddheasley Date: Tue, 5 Apr 2022 07:04:55 -0400 Subject: [PATCH 6/7] Update README --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index f1c00c8..d124ce3 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ Use `AstronomyKit` directly in any Xcode project by adding it to the project's [package dependencies.](https://developer.apple.com/documentation/swift_packages/adding_package_dependencies_to_your_app) `AstronomyKit` can also be added to the dependencies of another Swift package: -``` +```swift import PackageDescription let package = Package(name: "example", products: [ @@ -24,7 +24,7 @@ let package = Package(name: "example", products: [ Functionality includes the following calculations: -``` +```swift import CoreLocation import AstronomyKit From f51597843d1aa8d66688d470f8f131fd36cc24b5 Mon Sep 17 00:00:00 2001 From: toddheasley Date: Tue, 5 Apr 2022 07:20:00 -0400 Subject: [PATCH 7/7] Update README --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index d124ce3..5f89f9f 100644 --- a/README.md +++ b/README.md @@ -14,10 +14,10 @@ let package = Package(name: "example", products: [ "Example" ]) ], dependencies: [ - .package(url: "https://github.com/hodinkee/AstronomyKit", branch: "spm") + .package(url: "https://github.com/hodinkee/astronomykit", branch: "spm") ], targets: [ .target(name: "Example", dependencies: [ - "AstronomyKit" + .product(name: "AstronomyKit", package: "astronomykit") ]) ], cxxLanguageStandard: .cxx20) ```