On the uniqueness of trapezoidal four-body central configurations
Mathematical Physics
2023-02-28 v1 math.MP
Abstract
We study central configurations of the Newtonian four-body problem that form a trapezoid. Using a topological argument we prove that there is at most one trapezoidal central configuration for each cyclic ordering of the masses.
Keywords
Cite
@article{arxiv.2302.12955,
title = {On the uniqueness of trapezoidal four-body central configurations},
author = {Manuele Santoprete},
journal= {arXiv preprint arXiv:2302.12955},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2302.10089