Seven-body central configurations: A family of central configurations in the spatial seven-body problem

Marshall Hampton, Manuele Santoprete

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.

Original languageEnglish (US)
Pages (from-to)293-305
Number of pages13
JournalCelestial Mechanics and Dynamical Astronomy
Volume99
Issue number4
DOIs
StatePublished - Dec 1 2007

Keywords

  • Celestial mechanics
  • Central configurations
  • N-body problem
  • Relative equilibria

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