Article ID Journal Published Year Pages File Type
4616152 Journal of Mathematical Analysis and Applications 2014 7 Pages PDF
Abstract
We prove that if for the curved n-body problem the masses are given, the minimum distance between the point masses of a specific type of relative equilibrium solution to that problem has a universal lower bound that is not equal to zero. We furthermore prove that the set of all such relative equilibria is compact. This class of relative equilibria includes all relative equilibria of the curved n-body problem in H2 and a significant subset of the relative equilibria for S2, S3 and H3.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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