Motion of massive bodies: Testing the nonsymmetric gravitation theory

Abstract
We derive the equations of motion for massive extended bodies in the first post-Newtonian approximation to the nonsymmetric gravitation theory. The results are applied to the problem of the perihelion shift of Mercury and the periastron shifts of binary stars. We prove the equivalence of gravitational and inertial masses in the theory at the first post-Newtonian level. Hence, the theory predicts no Nordtvedt effect in the Moon’s orbit about Earth. Other weak-field tests of the nonsymmetric gravitation theory are discussed.