On the Uniqueness of Co-circular Four Body Central Configurations
Mathematical Physics
2023-02-24 v1 math.MP
Abstract
We study central configurations lying on a common circle in the Newtonian four-body problem. Using a topological argument we prove that there is at most one co-circular central configuration for each cyclic ordering of the masses on the circle.
Keywords
Cite
@article{arxiv.2302.10089,
title = {On the Uniqueness of Co-circular Four Body Central Configurations},
author = {Manuele Santoprete},
journal= {arXiv preprint arXiv:2302.10089},
year = {2023}
}