A Global Regularization for the (N + 1)-Body Problem with the Primaries in a Regular N-gon Central Configuration

• Martha Alvarez Ramírez ^[1] ; Claudio Vidal ^[2]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
  2. [2] Universidad del Bío-Bío

     Universidad del Bío-Bío

     Comuna de Concepción, Chile

     
• 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. 175-187
• Idioma: inglés
• DOI: 10.1007/s12346-015-0149-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • In the present paper, we consider the restricted planar (N+1) -body problem where N≥3 bodies (called primaries) interacting with one another according to Newtonian law which are in the vertices of a regular N-gon with the origin at the center of masses of the coordinate system. We prove that the simultaneous binary collision between the infinitesimal mass and any primary are regularizable, through the implementation of Birkhoff-type transformation.