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

AbuBakr Mehmood·Syed Umer Abbas Shah·Ghulam Shabbir
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Abstract

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.

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AbuBakr Mehmood, Syed Umer Abbas Shah, Ghulam Shabbir. 2004-02-17. A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem. https://arxiv.org/abs/math-ph/0402046

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