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arXiv · 1401.5884

Existence of a lower bound for the distance between point masses of relative equilibria in $\mathbb{S}^{k-1}$, $k\geq 3$

Pieter Tibboel
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Abstract

We prove that if for the curved $n$-body problem in $\mathbb{S}^{k-1}$, $k\geq 3$, the masses are given, the minimum distance between the point masses of a specific type of relative equilibrium solution that is a generalisation of positive elliptic relative equilibria and positive elliptic-elliptic relative equilibria has a universal lower bound that is not equal to zero.

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Pieter Tibboel. 2014-01-23. Existence of a lower bound for the distance between point masses of relative equilibria in $\mathbb{S}^{k-1}$, $k\geq 3$. https://arxiv.org/abs/1401.5884

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