Many Body Symmetrical Dynamical Systems
Mathematical Physics
2007-09-06 v1 math.MP
Abstract
We investigate the stability of few body symmetrical dynamical systems which include four and five body symmetrical dynamical systems. Research presented in this thesis includes the following original investigations: determination of some analytical solutions of the four body problem; stability analysis of the near symmetric coplanar CSFBP ; derivation of the analytical stability criterion valid for all time for a special symmetric configuration of the general five-body problem, the CS5BP, which exhibits many of the salient characteristics of the general five body problem; numerical investigation of the hierarchical stability of the CS5BP and derivation of the stability criterion for the CSNBP.
Cite
@article{arxiv.0709.0652,
title = {Many Body Symmetrical Dynamical Systems},
author = {Muhammad Shoaib},
journal= {arXiv preprint arXiv:0709.0652},
year = {2007}
}