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

2004/02/17 by Abu Bakr Mehmood, AbuBakr Mehmood, Mehmood, AbuBakr +4
Mathematics · Physics and Astronomy · #00A69 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #math-ph #math.MP #msc:00A69

paper · pdf · doi:10.48550/arxiv.math-ph/0402046

9 Pages, 2 figures

arxiv created 2004/02/17 · openalex publication_date 2004/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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