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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

Publication date

2001

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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.

Document Type

Article

Language

English

Subjects and keywords

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

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DIDL MARC MARC_CCUC METS OAI_DC ORE QDC RDF

Rights

http://creativecommons.org/licenses/by-nc-nd/2.5/es/

Open Access

Attribution-NonCommercial-NoDerivs 2.5 Spain

This item appears in the following Collection(s)

E-prints [73034]