Central Configurations of the Five-Body Problem with Equal Masses
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
In this paper we present a complete classification of the isolated central configurations of the five-body problem with equal masses. This is accomplished by using the polyhedral homotopy method to approximate all the isolated solutions of the Albouy-Chenciner equations. The existence of exact solutions, in a neighborhood of the approximated ones, is then verified using the Krawczyk method. Although the Albouy-Chenciner equations for the five-body problem are huge, it is possible to solve them in a reasonable amount of time.
Keywords
Cite
@article{arxiv.0906.0148,
title = {Central Configurations of the Five-Body Problem with Equal Masses},
author = {Tsung-Lin Lee and Manuele Santoprete},
journal= {arXiv preprint arXiv:0906.0148},
year = {2015}
}