Confinement around the Vertical Family of Periodic Orbits close L<sub>4</sub> and L<sub>5</sub>

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Title:	Confinement around the Vertical Family of Periodic Orbits close L₄ and L₅
Author:	Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi
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 consider the spatial restricted three body problem (RTBP) for values of the mass parameter close to µRouth. We analyse the dynamics around the vertical periodic orbits which are born at the equilateral equilibrium points L4 and L5, and we describe the confinement around the complex-unstable periodic orbits due to the 2D stable and unstable invariant manifolds.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Lagrangian functions -Periodic orbits -Stable and unstable manifolds -Invariant tori -Restricted problem -Lagrange, Funcions de -Classificació AMS::70 Mechanics of particles and systems
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Generic http://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Article
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