On the central configurations of the n -body problem

• Jaume Llibre ^[1]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 2, 2017, págs. 509-518
• Idioma: inglés
• DOI: 10.21042/amns.2017.2.00042
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• Resumen

  • We present a brief survey on some classes of central configurations of the n--body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular n-gons, or regular polyhedra. We also present some conjectures.