# American Institute of Mathematical Sciences

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

 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.
Citation: E. Canalias, Josep J. Masdemont. Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the sun-earth and earth-moon systems. Discrete & Continuous Dynamical Systems - A, 2006, 14 (2) : 261-279. doi: 10.3934/dcds.2006.14.261
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