The motion of Saturn coorbital satellites in the restricted three-body problem

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Title:	The motion of Saturn coorbital satellites in the restricted three-body problem
Author:	Llibre Saló, Jaume; Ollé Torner, Mercè
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:	This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus by means of horseshoe periodic orbits in the framework of the planar restricted three-body problem for the mass parameter . The mechanism of existence of such orbits for any value of and the Jacobi constant C close to C(L3), L3 being an adequate collinear equilibrium point, is analyzed from two different points of view and a systematic way to compute the horseshoe periodic orbits is also described.
Subject(s):	-Dynamics -Astronomy and astrophysics -Celestial mechanics -Planets and Satellites -Solar system -Partícules (Física nuclear) -Astronomia -Astrofísica -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics -Classificació AMS::85 Astronomy and astrophysics
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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