Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem

• Alberto Castro Ortega ^[1] ; Manuel Falconi ^[1] ; Ernesto A. Lacomba ^[2]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
  2. [2] Universidad Autónoma Metropolitana-Iztapalapa (México)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 13, Nº 2, 2014, págs. 181-196
• Idioma: inglés
• DOI: 10.1007/s12346-014-0112-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • Using analytic continuation of periodic orbits and symmetries we construct symmetric periodic solutions in the charged collinear three-body problem for the case where the outer particles are sufficiently small and have small charge. The results obtained allows to construct Schubart-like periodic solutions for different values of masses and charges in this setting and for the case of equal masses and charges of the outer bodies we have explicit Schubart periodic solutions.