Finiteness of relative equilibria of the four-body problem

Marshall Hampton, Richard Moeckel

Research output: Contribution to journalArticlepeer-review

124 Scopus citations

Abstract

We show that the number of relative equilibria of the Newtonian four-body problem is finite, up to symmetry. In fact, we show that this number is always between 32 and 8472. The proof is based on symbolic and exact integer computations which are carried out by computer.

Original languageEnglish (US)
Pages (from-to)289-312
Number of pages24
JournalInventiones Mathematicae
Volume163
Issue number2
DOIs
StatePublished - Feb 2006

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