Geometry of Weak Stability Boundaries

• E. Belbruno ^[1] ; M. Gidea ^[2] ; F. Topputo ^[3]
  1. [1] New York University

     New York University

     Estados Unidos

     
  2. [2] Northeastern Illinois University

     Northeastern Illinois University

     City of Chicago, Estados Unidos

     
  3. [3] Polytechnic University of Milan

     Polytechnic University of Milan

     Milán, Italia

     

  Mostrar afiliaciones +
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 12, Nº 1, 2013, págs. 53-66
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The notion of a weak stability boundary has been successfully used to design low energy trajectories from the Earth to the Moon. The structure of this boundary has been investigated in a number of studies, where partial results have been obtained. We propose a generalization of the weak stability boundary. We prove analytically that, in the context of the planar circular restricted three-body problem, under certain conditions on the mass ratio of the primaries and on the energy, the weak stability boundary about the heavier primary coincides with a branch of the global stable manifold of the Lyapunov orbit about one of the Lagrange points.