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2007, 2007(Special): 64-74. doi: 10.3934/proc.2007.2007.64

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

Lorenzo Arona 1, and  Josep J. Masdemont 2,

1. 

Deimos Space S.L., Ronda de Poniente 19, Ed. Fiteni VI, 28760 Tres Cantos (Madrid), Spain
2. 

IEEC & Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av Diagonal 647, ETSEIB, 08028 Barcelona, Spain

Received  September 2006 Revised  January 2007 Published  September 2007

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: Invariant tori., Homoclinic and Heteroclinic orbits, Hyperbolic invariant manifolds.
Mathematics Subject Classification: 70F15, 70K44, 37ND5, 70K4.
Citation: Lorenzo Arona, Josep J. Masdemont. Computation of heteroclinic orbits between normally hyperbolic invariant 3-spheres foliated by 2-dimensional invariant Tori in Hill's problem. Conference Publications, 2007, 2007 (Special) : 64-74. doi: 10.3934/proc.2007.2007.64
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