On the minimum distance between masses of relative equilibria of the $n$-body problem
Dynamical Systems
2014-01-15 v1
Abstract
We prove that if for relative equilibrium solutions of a generalisation of the -body problem of celestial mechanics the masses and rotation are given, then the minimum distance between the point masses of such a relative equilibrium has a universal lower bound that is not equal to zero. We furthermore prove that the set of such relative equilibria is compact.
Keywords
Cite
@article{arxiv.1401.3059,
title = {On the minimum distance between masses of relative equilibria of the $n$-body problem},
author = {Pieter Tibboel},
journal= {arXiv preprint arXiv:1401.3059},
year = {2014}
}