Finiteness of spatial central configurations in the five-body problem

Marshall Hampton, Anders Jensen

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

We strengthen a generic finiteness result due to Moeckel by showing that the number of spatial central configurations of the Newtonian five-body problem with positive masses is finite, apart from some explicitly given special cases of mass values.

Original languageEnglish (US)
Pages (from-to)321-332
Number of pages12
JournalCelestial Mechanics and Dynamical Astronomy
Volume109
Issue number4
DOIs
StatePublished - Apr 1 2011

Keywords

  • Albouy-Chenciner equations
  • Central configurations
  • Polyhedral fan
  • Tropical geometry
  • n-Body problem

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