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20 April 2024

» arxiv » math-ph/0402046

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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 ;
Date:	17 Feb 2004
Subject:	Mathematical Physics MSC-class: 00A69 \| math-ph math.MP
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.
Source:	arXiv, math-ph/0402046
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