2026-04-14T08:09:26Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/11932025-07-17T07:35:57Zcom_2072_1033col_2072_452950

The motion of Saturn coorbital satellites in the restricted three-body problem Llibre Saló, Jaume Ollé Torner, Mercè Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions 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 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. 2001 Article https://hdl.handle.net/2117/1193 eng http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 13 pages application/pdf