Central configurations of the planar coorbitalsatellite problem

Josep M. Cors, Jaume Llibre, Merce Ollé

Research output: Contribution to journalArticleResearchpeer-review

24 Citations (Scopus)

Abstract

We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. © 2004 Kluwer Academic Publishers.
Original languageEnglish
Pages (from-to)319-342
JournalCelestial Mechanics and Dynamical Astronomy
Volume89
DOIs
Publication statusPublished - 1 Dec 2004

Keywords

  • 1 + n body problem
  • Contol configuration
  • Coorbital satellites

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