**Author:**

Franco-Rodriguez, Jorge Adalberto

**Category:**

Research Papers

**Sub-Category:**

Mathematical Physics

**Date Published:**

March 22, 2014

**Keywords:**

Relativistic two-body problem, Relativistic three-body problem, Relativistic N-body problem. Vectorial Theory of Relativity

**Abstract:**

This work is the continuation of the classical approach described in previous paper for constant masses. By using the general results obtained in classical solution with the special physical characteristics of forces on the CM and properties of the reduction to the one-body formulation of the particular N-body-equal-angular-speed problem, allowed extending in a simple way to apply the relativistic Newton’s Universal Gravitation Law to two or more attracting bodies. In here the solution of this problem, structurally similar to that of the classical case, given their initial positions and velocities, is developed for variable masses under the Vectorial Theory of Relativity (VRT).

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