The scattering map in the planar restricted three body problem

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/942

Title:	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
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.
Subject(s):	-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
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
Share: