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

Lorenzo Arona; Josep J. Masdemont

doi:10.3934/proc.2007.2007.64

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2007, Volume 2007: 64-74. Doi: 10.3934/proc.2007.2007.64 open access

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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)
2.
IEEC & Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av Diagonal 647, ETSEIB, 08028 Barcelona

Received: August 31, 2006

Revised: December 31, 2006

Published: August 2007

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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.

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Mathematics Subject Classification: 70F15, 70K44, 37ND5, 70K45.

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

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