Computation of heteroclinic orbits between normally hyperbolic invariant 3-spheres foliated by 2-dimensional invariant Tori in Hill's problem

Pages: 64 - 74, Issue Special, September 2007

 Abstract        Full Text (2929.9K)              

Lorenzo Arona - Deimos Space S.L., Ronda de Poniente 19, Ed. Fiteni VI, 28760 Tres Cantos (Madrid), Spain (email)
Josep J. Masdemont - IEEC & Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av Diagonal 647, ETSEIB, 08028 Barcelona, Spain (email)

Abstract: This paper addresses a methodology to compute homoclinic and heteroclinic orbits between hyperbolic invariant tori of Hamiltonian systems. To illustrate the procedure, we focus the presentation on an aspect of libration point mission design, where zero cost transfer trajectories (heteroclinic orbits) are of special relevance.

Keywords:  Hyperbolic invariant manifolds, Homoclinic and Heteroclinic orbits, Invariant tori.
Mathematics Subject Classification:  70F15, 70K44, 37ND5, 70K45.

Received: September 2006;      Revised: January 2007;      Published: September 2007.