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arXiv · 1401.3059

On the minimum distance between masses of relative equilibria of the $n$-body problem

Pieter Tibboel
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Abstract

We prove that if for relative equilibrium solutions of a generalisation of the $n$-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.

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Pieter Tibboel. 2014-01-14. On the minimum distance between masses of relative equilibria of the $n$-body problem. https://arxiv.org/abs/1401.3059

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