diff --git a/src/Equilibrium/DirectEquilibrium.jl b/src/Equilibrium/DirectEquilibrium.jl
index 961a0f7f5..29e8fe158 100644
--- a/src/Equilibrium/DirectEquilibrium.jl
+++ b/src/Equilibrium/DirectEquilibrium.jl
@@ -161,28 +161,88 @@ function direct_position!(raw_profile::DirectRunInput)
 
     # If we never exited early, the loop failed to find bz = 0
     !(bfield.bz >= 0) && error("Took too many iterations to get bz=0.")
-
-    # Now, use Newton iteration to find the O-point (magnetic axis) where Br=0 and Bz=0
-    dr, dz = 0.0, 0.0
-    for _ in 1:max_iterations
-        direct_get_bfield!(bfield, r, z, raw_profile.psi_in, raw_profile.sq_in, sq_in_deriv, raw_profile.psio; derivs=2)
-        det = bfield.brr * bfield.bzz - bfield.brz * bfield.bzr
-        if abs(det) < 1e-20
-            error("Jacobian matrix is singular near ($r, $z).")
-        end
-        # Δx = -J⁻¹ F
-        dr = (bfield.brz * bfield.bz - bfield.bzz * bfield.br) / det
-        dz = (bfield.bzr * bfield.br - bfield.brr * bfield.bz) / det
-        r += dr
-        z += dz
-        if abs(dr) <= 1e-12 * abs(r) && abs(dz) <= 1e-12 * abs(r)
-            @info "Magnetic axis found at R = $(@sprintf("%.3f", r)), Z = $(@sprintf("%.3f", z))"
-            break
+    r_march, z_march = r, z
+
+    # Now, use Newton iteration to find the O-point (magnetic axis) where Br=0 and Bz=0.
+    # The 2-D ψ spline's second derivatives are not reliable at every point near the
+    # axis (∂B_z/∂R can pass through zero at isolated R), and a single near-singular
+    # Hessian sends an undamped Newton step across the whole box. Cap each step at one
+    # march step: inactive for well-behaved iterations (their steps are ≲ dr/2), it
+    # only keeps a bad iterate inside the axis neighbourhood until the Hessian recovers.
+    step_cap = dr
+    function _newton(r0, z0)
+        local dr, dz   # not the enclosing march step
+        r, z = r0, z0
+        for _ in 1:max_iterations
+            direct_get_bfield!(bfield, r, z, raw_profile.psi_in, raw_profile.sq_in, sq_in_deriv, raw_profile.psio; derivs=2)
+            det = bfield.brr * bfield.bzz - bfield.brz * bfield.bzr
+            abs(det) < 1e-20 && return r, z, false   # singular Hessian: let the caller fall back
+            # Δx = -J⁻¹ F
+            dr = (bfield.brz * bfield.bz - bfield.bzz * bfield.br) / det
+            dz = (bfield.bzr * bfield.br - bfield.brr * bfield.bz) / det
+            step = hypot(dr, dz)
+            if step > step_cap
+                dr *= step_cap / step
+                dz *= step_cap / step
+            end
+            r += dr
+            z += dz
+            if abs(dr) <= 1e-12 * abs(r) && abs(dz) <= 1e-12 * abs(r)
+                return r, z, true
+            end
         end
+        return r, z, false
     end
-
-    if !(abs(dr) <= 1e-12 * abs(r) && abs(dz) <= 1e-12 * abs(r))
-        error("Failed to find magnetic axis after $max_iterations iterations.")
+    r, z, converged = _newton(r, z)
+
+    if !converged
+        # Fallback, reached only when Newton from the midplane guess cycles or hits a
+        # singular Hessian. Locate the axis with first derivatives only: B_z changes
+        # sign across the axis along the midplane and B_r changes sign across it along
+        # a column, so alternating 1-D bisections converge to ∇ψ = 0 without touching
+        # the spline's second derivatives. Newton is then retried from that point as a
+        # polish; if even that fails, the bisection point itself is a converged zero of
+        # the first derivatives and is used as is.
+        _bz(rr, zz) = (direct_get_bfield!(bfield, rr, zz, raw_profile.psi_in, raw_profile.sq_in, sq_in_deriv, raw_profile.psio; derivs=1); bfield.bz)
+        _br(rr, zz) = (direct_get_bfield!(bfield, rr, zz, raw_profile.psi_in, raw_profile.sq_in, sq_in_deriv, raw_profile.psio; derivs=1); bfield.br)
+        function _bisect(f, lo, hi)
+            flo = f(lo)
+            for _ in 1:80
+                mid = 0.5 * (lo + hi)
+                fmid = f(mid)
+                (fmid == 0.0 || hi - lo < 4eps(mid)) && return mid
+                if sign(fmid) == sign(flo)
+                    lo, flo = mid, fmid
+                else
+                    hi = mid
+                end
+            end
+            return 0.5 * (lo + hi)
+        end
+        r, z = r_march, z_march
+        for _ in 1:4
+            # B_z: negative at r - dr (the march crossed there), non-negative at r
+            r = _bisect(rr -> _bz(rr, z), r - step_cap, r)
+            # B_r along the column through r; widen the bracket until it straddles zero
+            w = step_cap
+            while sign(_br(r, z - w)) == sign(_br(r, z + w)) && w < 20 * step_cap
+                w *= 2
+            end
+            sign(_br(r, z - w)) != sign(_br(r, z + w)) && (z = _bisect(zz -> _br(r, zz), z - w, z + w))
+            # r bracket for the next pass: re-establish the sign change around the new r
+            (_bz(r - step_cap, z) < 0 <= _bz(r + step_cap, z)) && (r += step_cap)
+        end
+        r_bis, z_bis = r, z
+        b_bis = hypot(_br(r, z), _bz(r, z))
+        r, z, converged = _newton(r_bis, z_bis)
+        if converged
+            @info "Magnetic axis found at R = $(@sprintf("%.3f", r)), Z = $(@sprintf("%.3f", z)) (Newton restarted from a first-derivative bisection)"
+        else
+            hypot(_br(r, z), _bz(r, z)) > b_bis && ((r, z) = (r_bis, z_bis))
+            @info "Magnetic axis from first-derivative bisection at R = $(@sprintf("%.3f", r)), Z = $(@sprintf("%.3f", z)) (Newton did not converge; |B| = $(@sprintf("%.2e", b_bis)))"
+        end
+    else
+        @info "Magnetic axis found at R = $(@sprintf("%.3f", r)), Z = $(@sprintf("%.3f", z))"
     end
 
     ro = r
diff --git a/test/runtests.jl b/test/runtests.jl
index 7845eea60..1f11d59d3 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -25,6 +25,7 @@ else
     include("./runtests_fouriertransforms.jl")
     include("./runtests_vacuum.jl")
     include("./runtests_equil.jl")
+    include("./runtests_equil_axis_newton.jl")
     include("./runtests_grid_refinement.jl")
     include("./runtests_coordinate_invariant.jl")
     include("./runtests_eulerlagrange.jl")
diff --git a/test/runtests_equil_axis_newton.jl b/test/runtests_equil_axis_newton.jl
new file mode 100644
index 000000000..54daae451
--- /dev/null
+++ b/test/runtests_equil_axis_newton.jl
@@ -0,0 +1,45 @@
+@testset "Direct equilibrium: magnetic-axis search robustness" begin
+    using GeneralizedPerturbedEquilibrium.Equilibrium
+    using GeneralizedPerturbedEquilibrium.Equilibrium: EquilibriumConfig, read_efit, direct_position!
+
+    data_dir = joinpath(@__DIR__, "test_data")
+
+    # A 257x257 TJ circular geqdsk (R0 = 2 m) on which the 2-D psi spline's
+    # d(Bz)/dR passes through zero at Newton's second iterate. Undamped Newton
+    # previously stepped -4.3 m and died with "Jacobian matrix is singular".
+    # The step cap keeps the iterate near the axis until the Hessian recovers, and
+    # capped Newton then converges on its own (no fallback in the log).
+    @testset "previously divergent geqdsk now converges to the axis" begin
+        cfg = EquilibriumConfig(;
+            eq_filename=joinpath(data_dir, "TJ_circular_axis_newton_regression.geqdsk"),
+            eq_type="efit")
+        rp = read_efit(cfg)
+        ro, zo, _, _ = @test_logs (:info, r"^Magnetic axis found at R = [0-9.]+, Z = -?[0-9.]+$") match_mode=:any direct_position!(rp)
+        @test isapprox(ro, 2.0; atol=1e-3)
+        @test abs(zo) < 1e-3
+    end
+
+    # A second failure mode: the Hessian is indefinite over several cells around the
+    # axis (dB_z/dR swings between ~5 and ~0), so even a capped Newton cycles without
+    # converging. The first-derivative bisection stage resolves it.
+    @testset "cycling Newton is rescued by the bisection stage" begin
+        cfg = EquilibriumConfig(;
+            eq_filename=joinpath(data_dir, "TJ_circular_axis_newton_cycling.geqdsk"),
+            eq_type="efit")
+        rp = read_efit(cfg)
+        ro, zo, _, _ = @test_logs (:info, r"first-derivative bisection") match_mode=:any direct_position!(rp)
+        @test isapprox(ro, 2.0; atol=1e-3)
+        @test abs(zo) < 1e-3
+    end
+
+    # A healthy file must take the plain Newton path (the log carries no fallback
+    # suffix), so its axis -- and everything downstream -- is unchanged.
+    @testset "well-behaved geqdsk takes the plain Newton path" begin
+        cfg = EquilibriumConfig(;
+            eq_filename=joinpath(data_dir, "CHEASE_test_data", "EQDSK_COCOS_02"), eq_type="efit")
+        rp = read_efit(cfg)
+        ro, zo, _, _ = @test_logs (:info, r"^Magnetic axis found at R = [0-9.]+, Z = -?[0-9.]+$") match_mode=:any direct_position!(rp)
+        @test 6.5 < ro < 7.5
+        @test isfinite(zo)
+    end
+end
diff --git a/test/test_data/TJ_circular_axis_newton_cycling.geqdsk b/test/test_data/TJ_circular_axis_newton_cycling.geqdsk
new file mode 100644
index 000000000..e5d4ccc0a
--- /dev/null
+++ b/test/test_data/TJ_circular_axis_newton_cycling.geqdsk
@@ -0,0 +1,13879 @@
+ Output from TJ code: 20260905                     3 257 257
+ 0.868244296E+00 0.868242812E+00 0.200000000E+01 0.152447811E+01 0.984402281E-03
+ 0.200000000E+01 0.000000000E+00-0.444221290E+00 0.000000000E+00 0.120000000E+02
+ 0.145425504E+07-0.444221290E+00 0.000000000E+00 0.200000000E+01 0.000000000E+00
+ 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00
+ 0.240000000E+02 0.239994823E+02 0.239989676E+02 0.239984558E+02 0.239979470E+02
+ 0.239974411E+02 0.239969382E+02 0.239964382E+02 0.239959411E+02 0.239954470E+02
+ 0.239949558E+02 0.239944676E+02 0.239939824E+02 0.239935001E+02 0.239930207E+02
+ 0.239925443E+02 0.239920709E+02 0.239916004E+02 0.239911329E+02 0.239906684E+02
+ 0.239902068E+02 0.239897481E+02 0.239892925E+02 0.239888398E+02 0.239883900E+02
+ 0.239879433E+02 0.239874995E+02 0.239870586E+02 0.239866208E+02 0.239861859E+02
+ 0.239857540E+02 0.239853251E+02 0.239848991E+02 0.239844761E+02 0.239840561E+02
+ 0.239836391E+02 0.239832250E+02 0.239828139E+02 0.239824058E+02 0.239820007E+02
+ 0.239815986E+02 0.239811994E+02 0.239808032E+02 0.239804101E+02 0.239800199E+02
+ 0.239796326E+02 0.239792484E+02 0.239788672E+02 0.239784889E+02 0.239781136E+02
+ 0.239777413E+02 0.239773721E+02 0.239770057E+02 0.239766424E+02 0.239762821E+02
+ 0.239759248E+02 0.239755704E+02 0.239752191E+02 0.239748707E+02 0.239745253E+02
+ 0.239741830E+02 0.239738436E+02 0.239735072E+02 0.239731738E+02 0.239728434E+02
+ 0.239725160E+02 0.239721915E+02 0.239718701E+02 0.239715517E+02 0.239712362E+02
+ 0.239709238E+02 0.239706143E+02 0.239703078E+02 0.239700043E+02 0.239697038E+02
+ 0.239694063E+02 0.239691118E+02 0.239688203E+02 0.239685318E+02 0.239682463E+02
+ 0.239679637E+02 0.239676841E+02 0.239674076E+02 0.239671340E+02 0.239668634E+02
+ 0.239665957E+02 0.239663311E+02 0.239660694E+02 0.239658108E+02 0.239655551E+02
+ 0.239653023E+02 0.239650526E+02 0.239648058E+02 0.239645621E+02 0.239643212E+02
+ 0.239640834E+02 0.239638485E+02 0.239636166E+02 0.239633877E+02 0.239631617E+02
+ 0.239629387E+02 0.239627187E+02 0.239625016E+02 0.239622875E+02 0.239620763E+02
+ 0.239618681E+02 0.239616628E+02 0.239614605E+02 0.239612611E+02 0.239610647E+02
+ 0.239608712E+02 0.239606806E+02 0.239604930E+02 0.239603083E+02 0.239601266E+02
+ 0.239599477E+02 0.239597718E+02 0.239595988E+02 0.239594287E+02 0.239592616E+02
+ 0.239590973E+02 0.239589360E+02 0.239587775E+02 0.239586219E+02 0.239584692E+02
+ 0.239583195E+02 0.239581725E+02 0.239580285E+02 0.239578874E+02 0.239577491E+02
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+ 0.239546222E+02 0.239545847E+02 0.239545497E+02 0.239545172E+02 0.239544872E+02
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+ 0.239574920E+02 0.239574956E+02
+ 0.561498639E+06 0.558455285E+06 0.555414857E+06 0.552377364E+06 0.549342822E+06
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+ 0.398967617E+06 0.396115622E+06 0.393267801E+06 0.390424183E+06 0.387584799E+06
+ 0.384749680E+06 0.381918855E+06 0.379092356E+06 0.376270214E+06 0.373452461E+06
+ 0.370639129E+06 0.367830250E+06 0.365025857E+06 0.362225983E+06 0.359430662E+06
+ 0.356639928E+06 0.353853814E+06 0.351072355E+06 0.348295586E+06 0.345523542E+06
+ 0.342756260E+06 0.339993775E+06 0.337236125E+06 0.334483344E+06 0.331735473E+06
+ 0.328992547E+06 0.326254605E+06 0.323521687E+06 0.320793830E+06 0.318071075E+06
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+ 0.301843959E+06 0.299158064E+06 0.296477605E+06 0.293802626E+06 0.291133171E+06
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+ 0.262147072E+06 0.259547590E+06 0.256954265E+06 0.254367149E+06 0.251786296E+06
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+ 0.187076740E+06 0.184688190E+06 0.182307745E+06 0.179935484E+06 0.177571490E+06
+ 0.175215845E+06 0.172868633E+06 0.170529939E+06 0.168199850E+06 0.165878454E+06
+ 0.163565840E+06 0.161262099E+06 0.158967322E+06 0.156681603E+06 0.154405038E+06
+ 0.152137723E+06 0.149879755E+06 0.147631235E+06 0.145392264E+06 0.143162945E+06
+ 0.140943381E+06 0.138733681E+06 0.136533951E+06 0.134344302E+06 0.132164845E+06
+ 0.129995695E+06 0.127836965E+06 0.125688775E+06 0.123551244E+06 0.121424493E+06
+ 0.119308645E+06 0.117203828E+06 0.115110169E+06 0.113027798E+06 0.110956847E+06
+ 0.108897453E+06 0.106849753E+06 0.104813886E+06 0.102789995E+06 0.100778226E+06
+ 0.987787251E+05 0.967916443E+05 0.948171366E+05 0.928553582E+05 0.909064684E+05
+ 0.889706296E+05 0.870480070E+05 0.851387693E+05 0.832430883E+05 0.813611393E+05
+ 0.794931010E+05 0.776391555E+05 0.757994887E+05 0.739742902E+05 0.721637534E+05
+ 0.703680757E+05 0.685874584E+05 0.668221071E+05 0.650722316E+05 0.633380461E+05
+ 0.616197692E+05 0.599176244E+05 0.582318397E+05 0.565626481E+05 0.549102876E+05
+ 0.532750015E+05 0.516570383E+05 0.500566520E+05 0.484741024E+05 0.469096549E+05
+ 0.453635810E+05 0.438361584E+05 0.423276711E+05 0.408384096E+05 0.393686712E+05
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+-0.370343653E-01 0.156545116E+01-0.354265196E-01 0.156530921E+01-0.338183605E-01
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+-0.289921472E-01 0.156480755E+01-0.273828787E-01 0.156469866E+01-0.257733688E-01
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+-0.209435333E-01 0.156432917E+01-0.193332005E-01 0.156425331E+01-0.177226975E-01
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+-0.128903104E-01 0.156401585E+01-0.112792693E-01 0.156397298E+01-0.966812903E-02
+ 0.156393670E+01-0.805690389E-02 0.156390703E+01-0.644560799E-02 0.156388394E+01
+-0.483425551E-02 0.156386746E+01-0.322286058E-02 0.156385756E+01-0.161143736E-02
+ 0.156385427E+01-0.964437730E-16
+ 0.152447811E+01-0.433137004E+00 0.239272240E+01-0.433137004E+00 0.239272240E+01
+ 0.435105808E+00 0.152447811E+01 0.435105808E+00 0.152447811E+01-0.433137004E+00
diff --git a/test/test_data/TJ_circular_axis_newton_regression.geqdsk b/test/test_data/TJ_circular_axis_newton_regression.geqdsk
new file mode 100644
index 000000000..0f7a8f25b
--- /dev/null
+++ b/test/test_data/TJ_circular_axis_newton_regression.geqdsk
@@ -0,0 +1,13879 @@
+ Output from TJ code: 20260904                     3 257 257
+ 0.872452155E+00 0.872452056E+00 0.200000000E+01 0.154146221E+01 0.989174666E-03
+ 0.200000000E+01 0.000000000E+00-0.441055121E+00 0.000000000E+00 0.120000000E+02
+ 0.140147627E+07-0.441055121E+00 0.000000000E+00 0.200000000E+01 0.000000000E+00
+ 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00
+ 0.240000000E+02 0.239990497E+02 0.239981031E+02 0.239971602E+02 0.239962211E+02
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