Mathematics – Dynamical Systems
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...257..331v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 257, no. 1, p. 331-352.
Mathematics
Dynamical Systems
23
Dynamical Systems, Orbital Mechanics, Perturbation Theory, Saturn Satellites, Accuracy, Numerical Integration, Partial Differential Equations, Spectrum Analysis
Scientific paper
We give a representation of the long-period perturbations of the following satellites of Saturn: Mimas, Enceladus, Tethys, Dione, Rhea, Titan and Iapetus. The first order partial derivatives of this representation with respect to the physical parameters and the initial conditions have been also computed. The internal precision, obtained by comparison with numerical integration, has been estimated to a few kilometers for all satellites except Iapetus for which discrepancies reach 100 km over 100 years. Important new terms due to the orbital precession of Iapetus, and some terms coming from indirect perturbations by Jupiter have been found in the solution of Rhea, Titan and Iapetus. The solutions obtained for Mimas and Tethys suggest existence of secular resonance; the corresponding terms strongly depends on the value of the Tethys' eccentricity.
Duriez L.
Vienne Alain
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