On the finiteness of four-body central configurations
Dynamical Systems
2023-02-01 v2 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
The number of central configurations in the four body problem was proved to be finite, first by Hampton and Moeckel, then by Albouy and Kaloshin, when the masses are all positive. We prove that the four-body central configurations are finite for any four nonzero masses.
Cite
@article{arxiv.2103.08906,
title = {On the finiteness of four-body central configurations},
author = {Xiang Yu and Shuqiang Zhu},
journal= {arXiv preprint arXiv:2103.08906},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2103.06037