Triple and quadruple nested central configurations for the planar n-body problem

Jaume Llibre, Luis Fernando Mello

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

In this paper we show the existence of families of triple or quadruple nested planar central configurations for the n-body problem with n = 6, 8, 9. More precisely for n = 6 we nested three 2-collinear central configurations, for n = 8 we nested four 2-collinear central configurations and for n = 9 we nested three equilateral triangular central configurations. As far as we know these are the first examples of planar triple and quadruple nested central configurations. © 2008 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)563-571
JournalPhysica D: Nonlinear Phenomena
Volume238
DOIs
Publication statusPublished - 15 Mar 2009

Keywords

  • Nested central configurations
  • Planar central configurations
  • n-body problem

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