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

Montserrat Corbera, Josep Maria Cors, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

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
Volume109
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

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

Fingerprint Dive into the research topics of 'On the central configurations of the planar 1 + 3 body problem'. Together they form a unique fingerprint.

Cite this