| Issue |
A&A
Volume 378, Number 3, November II 2001
|
|
|---|---|---|
| Page(s) | 1087 - 1099 | |
| Section | Celestial mechanics and astrometry | |
| DOI | https://doi.org/10.1051/0004-6361:20011274 | |
| 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: jllibre@mat.uab.es
Corresponding author: M. Ollé, olle@ma1.upc.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 
. 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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