The Rhomboidal 4-Body Problem Revisited

• Martha Alvarez-Ramírez ^[1] ; Mario Medina ^[1]
  1. [1] Universidad Autónoma Metropolitana-Iztapalapa (México)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 14, Nº 2, 2015 (Ejemplar dedicado a: Hamiltonian Systems and Celestial Mechanics, HAMSYS-2014), págs. 189-207
• Idioma: inglés
• DOI: 10.1007/s12346-015-0151-2
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• Resumen

  • We consider the planar rhomboidal 4-body problem where the masses are equal by pairs. In this paper we briefly review some recent results related to binary and total collision regularization, central configurations and existing periodic orbits of this problem, but some of them are not widely known to the celestial mechanics community.