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In an earlier paper [1], we derived Newton?s gravitational scalar potential field due to an oblate spheroidal massive body. In this paper we derive the corresponding Newton?s equations of motion for a particle of nonzero rest mass in the Gravitational Field of a stationary, homogeneous, oblate spheroidal massive body, expressed in oblate spheroidal coordinates convenient for mathematical investigation, and hence physical interpretation and experimental investigation for all systems in the Universe.

In this paper we derive the gravitational fields of spheroidal bodies in order to pave the way for the corresponding extension of the well-known mechanics in the gravitational fields of spherical bodies.

The existing theories of gravitation are based on the strong or semistrong equivalence principles. In this paper it is shown how the weak equivalence principle may also be used to construct a theory of gravitation that is in perfect agreement with experiment