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April  2006, 14(2): 261-279. doi: 10.3934/dcds.2006.14.261

Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the sun-earth and earth-moon systems

E. Canalias 1, and  Josep J. Masdemont 1,

1. 

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

Received  January 2005 Revised  April 2005 Published  November 2005

In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, the systematic application of this method to a range of Jacobi constants provides a classification of the connections in bifurcation families. The models used correspond to the Sun-Earth+Moon and the Earth-Moon cases.
Keywords: low energy transfers., Restricted three body problem, homoclinic and heteroclinic orbits, invariant manifolds.
Mathematics Subject Classification: Primary: 34C37, 37N05, 70K44; Secondary: 37D0.
Citation: E. Canalias, Josep J. Masdemont. Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the sun-earth and earth-moon systems. Discrete and Continuous Dynamical Systems, 2006, 14 (2) : 261-279. doi: 10.3934/dcds.2006.14.261
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