On the central configurations of the planar 1 + 3 body problem

Montserrat Corbera, Josep Maria Cors, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)


We consider the Newtonian four-body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimal masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, with the help of extended precision arithmetics, we provide evidence that the number of central configurations varies from five to seven. © 2010 Springer Science+Business Media B.V.
Original languageEnglish
Pages (from-to)27-43
JournalCelestial Mechanics and Dynamical Astronomy
Issue number1
Publication statusPublished - 1 Jan 2011


  • 1 + 3 body problem
  • Central configurations
  • Coorbital satellites


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