Some periodic orbits in the restricted three-body problem, for m>0, from the m = 0 case

• Autores: Mercè Ollé Torner
• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 28, 2006 (Ejemplar dedicado a: Actas de las VIII Jornadas de Mecánica Celeste / coord. por Antonio Elipe Sánchez , J. A. Docobo Durántez ), págs. 51-58
• Idioma: inglés
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• Resumen

  • In the present work, we deal with horseshoe motion in the frame of the Restricted Three-Body Problem (RTBP) for different values of the mass parameter mm. On one hand, we study numerically families of periodic horseshoe orbits for m small and how they are organised. We figure out the mechanism of the organisation of such families from the two-body problem (m = 0). On the other hand, we study the existence of horseshoe periodic orbits for other values of m. We claim that the behaviour of the invariant manifolds associated to the equilibrium point L3 as well as the existence of homoclinic orbits play an important role.