Mathematics
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983icar...53...84b&link_type=abstract
Icarus, vol. 53, Jan. 1983, p. 84-89. Research supported by the Centre National de la Recherche Scientifique
Mathematics
24
Eccentric Orbits, Hamiltonian Functions, Orbit Perturbation, Saturn Rings, Saturn Satellites, Equations Of Motion, Orbit Calculation, Precession, Topology, Planets, Satellites, Saturn, F Ring, Rings, Orbits, Mathematical Models, Perturbations, Eccentricity, Precession, Interactions, Parameters, Data, Resonance, Gravity Effects, Equations Of Motion
Scientific paper
The first-order perturbations of orbital eccentricity and apse precession rate for the case of a narrow ring, due to a close satellite whose orbit is also eccentric, are described by means of a Hamiltonian. The present treatment covers cases in which the satellite crosses the ring, and the level curves of the Hamiltonian are displayed for several parameter values. The results obtained are applied to the interaction of Saturn's F ring with its inner shepherd satellite.
Borderies Nicole
Goldreich Peter
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