Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/1207

Title:	Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
Author:	Canalias Vila, Elisabet; Masdemont Soler, Josep
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:	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.
Subject(s):	-Nonlinear Dynamics -Differentiable dynamical systems -Differential equations -Restricted three body problem -Lyapunov orbits -invariant manifolds -Homoclinic and heteroclinic orbits -Low energy transfers -Partícules (Física nuclear) -Sistemes dinàmics diferenciables -Teoria ergòdica -Equacions diferencials ordinàries -Classificació AMS::34 Ordinary differential equations::34C Qualitative theory -Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior -Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications -Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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