A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem

Mehmood, AbuBakr; Shah, Syed Umer Abbas; Shabbir, Ghulam

A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem

Authors

Mehmood, AbuBakr

Shah, Syed Umer Abbas

Shabbir, Ghulam

Description

The Classical Newtonian problem of describing the free motions of N gravitating bodies which form an isolated system in free space has been considered. It is well known from the Poincares Dictum that the problem is not exactly solvable. Sets of N body systems composed of masses having spherical symmetry, appropriate angular velocities (< 1 rad/s) and bounded position vectors are examined. A procedure has been developed which yields expressions approximately defining the trajectories executed by the masses.
9 Pages, 2 figures