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The scattering map in the planar restricted three body problem

Author

Canalias Vila, Elisabet

Delshams Valdés, Amadeu

Masdemont Soler, Josep

Roldán González, Pablo

Other authors

Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I

Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions

Publication date

2005

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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.

Document Type

Article

Language

English

Subjects and keywords

Dynamics; Restricted three body problem; Homoclinic orbits; Normally hyperbolic invariant manifolds; Scattering map; Partícules (Física nuclear); Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics

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Rights

http://creativecommons.org/licenses/by-nc-nd/2.5/es/

Open Access

Attribution-NonCommercial-NoDerivs 2.5 Spain

This item appears in the following Collection(s)

E-prints [73124]