New stacked central configurations for the planar 5-body problem

Jaume Llibre, Luis Fernando Mello, Ernesto Perez-Chavela

Research output: Contribution to journalArticleResearchpeer-review

16 Citations (Scopus)

Abstract

A stacked central configuration in the n-body problem is one that has a proper subset of the n-bodies forming a central configuration. In this paper we study the case where three bodies with masses m1, m2, m3 (bodies 1, 2, 3) form an equilateral central configuration, and the other two with masses m4, m5 are symmetric with respect to the mediatrix of the segment joining 1 and 2, and they are above the triangle generated by {1, 2, 3}. We show the existence and non-existence of this kind of stacked central configurations for the planar 5-body problem. © 2011 Springer Science+Business Media B.V.
Original languageEnglish
Pages (from-to)43-52
JournalCelestial Mechanics and Dynamical Astronomy
Volume110
DOIs
Publication statusPublished - 1 May 2011

Keywords

  • 5-body problem
  • Planar central configurations
  • Stacked central configurations
  • n-body problem

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