**Author:**

Franco-Rodriguez, Jorge Adalberto

**Category:**

Research Papers

**Sub-Category:**

Astrophysics

**Date Published:**

June 12, 2014

**Keywords:**

Gravitational Two-Body problem, Three-Body problem, N-Body problem.

**Abstract:**

The prediction of the movement of a group of N gravitationally attracting bodies around its center of mass CM, given their initial positions and velocities, was successfully undertaken in previous papers. In order to sketch those elliptic and considered stable motions, obtained equations of orbits were put in function of their semi-major axis. This presentation simplified the geometric consideration of initial conditions. It was included as well the consideration and assumption of the constant inclination of the orbit in those cases where it were possible for N > 2 bodies, as for example the constant inclination of Moon-Earth orbits around their common focus S, relative to the also elliptic orbit of translation motion of the sub-center S of the around the Sun or around the center of mass of the whole system.

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