On the Uniqueness of Co-circular Four Body Central Configurations

DOI10.1007/S00205-021-01626-7arXiv2302.10089MaRDI QIDQ6427070

Publication date: 20 February 2023

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.

Mathematics Subject Classification ID

(n)-body problems (70F10)

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