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

E. Canalias; Josep J. Masdemont

doi:10.3934/dcds.2006.14.261

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2006, Volume 14, Issue 2: 261-279. Doi: 10.3934/dcds.2006.14.261

This issue Previous Article Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures Next Article Existence of stable manifolds for nonuniformly hyperbolic $c^1$ dynamics

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

Received: December 31, 2004

Revised: March 31, 2005

Published: March 2006

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Abstract

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.

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Mathematics Subject Classification: Primary: 34C37, 37N05, 70K44; Secondary: 37D05.

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

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