A Generalized approach for Approximate Solutions to the N Body Problem

2005/01/10 by Abu Bakr Mehmood, AbuBakr Mehmood, Mehmood, AbuBakr +4
Computer Science · Engineering · Mathematics · Physics and Astronomy · #00A69 #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #math-ph #math.MP #msc:00A69

paper · pdf · doi:10.48550/arxiv.math-ph/0501021

10 pages, 3 figures

arxiv created 2005/01/10 · openalex publication_date 2005/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An approach is developed to find approximate solutions to the classical Newtonian problem of N bodies. Sets of N gravitating bodies having spherically symmetric mass distributions, small angular velocities (< 1 rad/s) and bounded position vectors have been taken into consideration. In addition, it is assumed that the masses form an isolated system in free space and perform free gravitating motion. Although the problem is not exactly solvable, a new approach will be developed to find approximate solutions using N number of two body motion analogues.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

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