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- W4300487930 abstract "We prove for generalisations of quasi-homogeneous $n$-body problems with center of mass zero and $n$-body problems in spaces of negative constant Gaussian curvature that if the masses and rotation are fixed, there exists, for every order of the masses, at most one equivalence class of relative equilibria for which the point masses lie on a circle, as well as that there exists, for every order of the masses, at most one equivalence class of relative equilibria for which all but one of the point masses lie on a circle and rotate around the remaining point mass. The method of proof is a generalised version of a proof by J.M. Cors, G.R. Hall and G.E. Roberts on the uniqueness of co-circular central configurations for power-law potentials." @default.
- W4300487930 created "2022-10-03" @default.
- W4300487930 creator A5026916222 @default.
- W4300487930 date "2016-04-04" @default.
- W4300487930 modified "2023-10-16" @default.
- W4300487930 title "Finiteness of polygonal relative equilibria for generalised quasi-homogeneous $n$-body problems and $n$-body problems in spaces of constant curvature" @default.
- W4300487930 doi "https://doi.org/10.48550/arxiv.1604.01107" @default.
- W4300487930 hasPublicationYear "2016" @default.
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