Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614246 | Journal of Mathematical Analysis and Applications | 2016 | 11 Pages |
Abstract
We prove for generalisations of quasi-homogeneous n-body problems with centre 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pieter Tibboel,