On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses
Mathematical Physics
2024-10-11 v2 Dynamical Systems
math.MP
Abstract
This paper examines the existence of centered co-circular central configurations in the general power-law potential n-body problem. We prove the nonexistence of such configurations when the system consists of n-3 equal masses and three arbitrary masses, under the condition that the three special masses are distinct or, if two of them are equal, not arranged in a specific manner.
Cite
@article{arxiv.2407.04702,
title = {On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses},
author = {Zhengyang Tang and Shuqiang Zhu},
journal= {arXiv preprint arXiv:2407.04702},
year = {2024}
}
Comments
12 pages, 3 figure