Volume 378, Number 3, November II 2001
|Page(s)||1087 - 1099|
|Section||Celestial mechanics and astrometry|
|Published online||15 November 2001|
The motion of Saturn coorbital satellites in the restricted three-body problem
Dept. Matemàtiques, Universitat Autònoma de Barcelona, Edifici C 08193 Bellaterra, Spain Dept. de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain e-mail: email@example.com
Corresponding author: M. Ollé, firstname.lastname@example.org
Accepted: 3 August 2001
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 , 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.
Key words: celestial mechanics / planets and satellites: general / solar system: general
© ESO, 2001
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