Free Fall in Gravitational Theory

Einstein’s explanation of Mercury’s perihelion motion has been verified by astronomical observations. His formula could also be obtained in Schwarzschild metric and was published already in 1898. Motion along a straight geodesic, however, namely, free fall into a gravitational center with vanishing angular momentum, is incorrectly described both by Einstein’s and by Schwarzschild’s equation of motion. A physical solution for free fall may be obtained by taking into account the dependence of mass on velocity in Newton’s gravitational law as adopted in the physics of accelerators.