Franco-Rodriguez, Jorge Adalberto
October 7, 2019
Universal Gravitation Law, Kepler Laws, Angular Momentum, Vectorial Relativity, Special Relativity, General Relativity.
It is known that Kepler’s Laws can be derived from the Newton’s Law of Universal Gravitation. For doing this, mass is considered as an invariable parameter. Although this consideration works wonderfully to solve most of problems in astronomy calculations, as well as in all physics, when astral body’s speeds are so high and very precise measurements are required, the referred Kepler Laws do not cope enough what is expected. That’s why the General Theory of Relativity materialized. As it was indirectly pointed out by Einstein in 1905, Newton and Kepler Laws do not consider the relativistic variation of mass with its velocity. The purpose of this review is to discuss the mathematical and theoretical physics underlying the development of the classical model as well as the presentation of an approach that naturally concludes with a modification of the Newton’s Universal Force of Gravitation in order to adapt its conception to a mass-variation modern view (relativistic). This work considers a generic variable mass, without establishing any cause of its variation (Einstenian, or any other). It is worth mentioning that although this approach was not worked under the Einstein’s General Theory of Relativity, but under a three-dimensional environment, it can be applied inside any relativistic gravitation theory, we discuss the conservation laws and the equations of motion in detail, and provide a number of (in our opinion) interesting and relevant applications.