EDP Sciences
Free access
Volume 378, Number 3, November II 2001
Page(s) 1087 - 1099
Section The solar system
DOI http://dx.doi.org/10.1051/0004-6361:20011274

A&A 378, 1087-1099 (2001)
DOI: 10.1051/0004-6361:20011274

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

J. Llibre and M. Ollé

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: jllibre@mat.uab.es

(Received 7 March 2001 / 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 $\mu =3.5\times 10^{-9}$. The mechanism of existence of such orbits for any value of $\mu > 0$ 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.

Key words: celestial mechanics -- planets and satellites -- solar system

Offprint request: M. Ollé, olle@ma1.upc.es

© ESO 2001