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

Pieter Tibboel

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

Dynamical Systems 2013-05-14 v2

Authors: Pieter Tibboel

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.

Keywords

n-body problem relative equilibria finiteness celestial mechanics central configurations

Cite

@article{arxiv.1305.1728,
  title  = {Finiteness of classes of relative equilibria for the $n$-body problem},
  author = {Pieter Tibboel},
  journal= {arXiv preprint arXiv:1305.1728},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author.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being that Lemma 2.7 is incorrect, which makes the argument of the proof of the main theorem void, this paper has been withdrawn by the author

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