diff --git a/tests/test_cartesian_to_elements_extreme.cpp b/tests/test_cartesian_to_elements_extreme.cpp
index ffa0940..1877c11 100644
--- a/tests/test_cartesian_to_elements_extreme.cpp
+++ b/tests/test_cartesian_to_elements_extreme.cpp
@@ -104,7 +104,7 @@ TEST_CASE("Cartesian to Elements - Edge Cases", "[orbital_mechanics]") {
 
         OrbitalElements recovered = cartesian_to_orbital_elements(position, velocity, M_sun);
 
-        REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.999, 1e-2));
+        REQUIRE_THAT(recovered.eccentricity, WithinAbs(0.999, 1e-3));
         // Semi-major axis poorly conditioned for e≈1, skip test
     }
 
@@ -161,7 +161,7 @@ TEST_CASE("Cartesian to Elements - Edge Cases", "[orbital_mechanics]") {
 
         OrbitalElements recovered = cartesian_to_orbital_elements(position, velocity, M_sun);
 
-        REQUIRE_THAT(recovered.eccentricity, WithinAbs(10.0, 1e-2));
+        REQUIRE_THAT(recovered.eccentricity, WithinAbs(10.0, 1e-3));
         REQUIRE_THAT(recovered.semi_major_axis, WithinAbs(-1.0e10, 1e8));
     }