Statistics – Computation
Scientific paper
Apr 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pasj...45..263k&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 45, no. 2, p. 263-267.
Statistics
Computation
8
Planetary Orbits, Planetary Structure, Uranus Rings, Uranus Satellites, Computational Astrophysics, Orbit Perturbation
Scientific paper
The dynamical structures of Uranian alpha-,beta-, and epsilon-rings can be successfully explained by assuming that the rings are surrounded by two shepherding satellites, inner and outer, which keep the ring widths very narrow. As the outer shepherding satellite produces forced eccentricities of ring particles and the inner satellite, their apsidal motions are proved in this paper to be identical to that of the outer satellite. The outer satellite also produces forced inclinations, so that the ascending nodes of the ring particles and the inner satellite move with the same angular velocities and phase angles as those of the outer satellite. In this study the estimated masses of the order of 10 exp 18 g and the distances from the rings of the order of 10 km as well as the eccentricities and the inclinations taking nearly the same values as the ring particles are estimated for the shepherding satellites of each ring.
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