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

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Canalias Vila, Elisabet
dc.contributor.author	Masdemont Soler, Josep
dc.date	2004
dc.identifier.uri	http://hdl.handle.net/2117/1207
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Nonlinear Dynamics
dc.subject	Differentiable dynamical systems
dc.subject	Differential equations
dc.subject	Restricted three body problem
dc.subject	Lyapunov orbits
dc.subject	invariant manifolds
dc.subject	Homoclinic and heteroclinic orbits
dc.subject	Low energy transfers
dc.subject	Partícules (Física nuclear)
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Teoria ergòdica
dc.subject	Equacions diferencials ordinàries
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
dc.title	Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
dc.type	info:eu-repo/semantics/article
dc.description.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.

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