The Co-circular Central Configurations of the 5-Body Problem

Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2015, Springer Science+Business Media New York. Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n=3. Hampton in 2003 proved that also this question has a positive answer for n=4. Here we provide a positive answer for n=5.
Original languageEnglish
Pages (from-to)55-67
JournalJournal of Dynamics and Differential Equations
Volume27
Issue number1
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • 5-body problem
  • Central configuration
  • Co-circular central configuration
  • Regular n-gon

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