The scattering map in the planar restricted three body problem |
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Authors: | E. Canalias A. Delshams J. J. Masdemont P. Roldán |
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Affiliation: | (1) Departament de Matemàtica Aplicada I, ETSEIB-UPC, Avda. Diagonal 647, 08028 Barcelona, Spain |
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Abstract: | We study homoclinic transport to Lyapunov orbits around a collinear libration point in the planar restricted three body problem. A method to compute homoclinic orbits is first described. Then we introduce the scattering map for this problem (defined on a suitable normally hyperbolic invariant manifold) and we show how to compute it using the information already obtained for the homoclinic orbits. An example application to Astrodynamics is also proposed. |
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Keywords: | Restricted three body problem Homoclinic orbits Normally hyperbolic invariant manifolds Scattering map |
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