diff --git a/Core/include/Acts/Seeding/EstimateTrackParamsFromSeed.hpp b/Core/include/Acts/Seeding/EstimateTrackParamsFromSeed.hpp
index ef36e80c978..6fea6ebc9fd 100644
--- a/Core/include/Acts/Seeding/EstimateTrackParamsFromSeed.hpp
+++ b/Core/include/Acts/Seeding/EstimateTrackParamsFromSeed.hpp
@@ -237,17 +237,10 @@ std::optional<BoundVector> estimateTrackParamsFromSeed(
   circleCenter(1) = -1. / a * circleCenter(0) + b;
   // Radius is distance between circleCenter and first sp, which is at (0, 0) in
   // the new frame
-  // Sign depends on the slope a (positive vs negative)
-  int sign = a > 0 ? -1 : 1;
-  ActsScalar rho = sign / circleCenter.norm();
-
-  // The projection of the top space point on the transverse plane of the new
-  // frame
-  ActsScalar rn = local2.x() * local2.x() + local2.y() * local2.y();
-  // The (1/tanTheta) of momentum in the new frame,
-  static constexpr ActsScalar G = static_cast<ActsScalar>(1. / 24.);
+  const ActsScalar R = circleCenter.norm();
   ActsScalar invTanTheta =
-      local2.z() * std::sqrt(1. / rn) / (1. + G * rho * rho * rn);
+      local2.z() /
+      (2.f * R * std::asin(std::hypot(local2.x(), local2.y()) / 2.f * R));
   // The momentum direction in the new frame (the center of the circle has the
   // coordinate (-1.*A/(2*B), 1./(2*B)))
   ActsScalar A = -circleCenter(0) / circleCenter(1);