Finiteness of classes of relative equilibria for the $n$-body problem

Abstract

We prove that if the masses of the $n$-body problem of celestial mechanics are given, the number of classes of relative equilibria that solve the $n$-body problem is finite.

arXiv commentThis paper has been withdrawn by the author. Due to a crucial error, being that Lemma 2.7 is incorrect, which makes the argument of the proof of the main theorem void, this paper has been withdrawn by the author