diff --git a/tests/test_cartesian_to_elements_quadrature.cpp b/tests/test_cartesian_to_elements_quadrature.cpp
index 7586e93..73076d4 100644
--- a/tests/test_cartesian_to_elements_quadrature.cpp
+++ b/tests/test_cartesian_to_elements_quadrature.cpp
@@ -71,7 +71,7 @@ TEST_CASE("Cartesian to Elements - Quadrature Points", "[orbital_mechanics]") {
 
         REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.5, 1e-4));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(1.0e11, 1e6));
-        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(3.0 * M_PI / 2.0, 1e-6));
+        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(-M_PI / 2.0, 1e-6));
     }
 
     SECTION("Quadrature point ν=-3π/2 (-270°) preserves orbital elements") {
@@ -91,7 +91,7 @@ TEST_CASE("Cartesian to Elements - Quadrature Points", "[orbital_mechanics]") {
 
         REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.5, 1e-4));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(1.0e11, 1e6));
-        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(-3.0 * M_PI / 2.0, 1e-6));
+        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(M_PI / 2.0, 1e-6));
     }
 
     SECTION("Quadrature point with high eccentricity (e=0.9) preserves accuracy") {
@@ -151,7 +151,7 @@ TEST_CASE("Cartesian to Elements - Quadrature Points", "[orbital_mechanics]") {
 
         REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.5, 1e-4));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(1.0e11, 1e6));
-        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(5.0, 1e-6));
+        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(-1.28318530717958623, 1e-6));
     }
 
     SECTION("Large negative true anomaly ν=-5.0 rad (≈-286°) preserves accuracy") {
@@ -171,7 +171,7 @@ TEST_CASE("Cartesian to Elements - Quadrature Points", "[orbital_mechanics]") {
 
         REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.5, 1e-4));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(1.0e11, 1e6));
-        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(-5.0, 1e-6));
+        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(1.28318530717958623, 1e-6));
     }
 
     SECTION("Very large true anomaly ν=10.0 rad (≈573°) preserves accuracy") {
@@ -191,7 +191,7 @@ TEST_CASE("Cartesian to Elements - Quadrature Points", "[orbital_mechanics]") {
 
         REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.5, 1e-4));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(1.0e11, 1e6));
-        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(10.0, 1e-5));
+        REQUIRE_THAT(recovered.true_anomaly, WithinAbs(-2.56637061435917246, 1e-5));
     }
 
     SECTION("Quadrature point with 3D orientation preserves all elements") {