In this article, we applied the generalized Golden (Riemannian) gravitational scalar potential exterior to the body to the well - known Newton’s dynamical gravitational equations of motion to obtain generalizations of Newton’s dynamical equations of motion. The generalized dynamical gravitational equations of motion are applied to the motion of the planets in the equatorial plane to obtain a generalized planetary equation of motion. The results are that the generalized Newtonian dynamical equations of motion and the generalized planetary equation of motion are augmented with additional correction terms of all orders of which are not found in Newton’s dynamical equations of motion or Einstein’s geometrical equations of motion.

A Generalization of Newton’s Planetary Equation of Motion for Static Homogeneous Spherical Massive Bodies

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A Generalization of Newton’s Planetary Equation of Motion for Static Homogeneous Spherical Massive Bodies