Statistics – Computation
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982icar...52..526s&link_type=abstract
Icarus, vol. 52, Dec. 1982, p. 526-544.
Statistics
Computation
62
Numerical Integration, Planetary Structure, Saturn Rings, Saturn Satellites, Two Body Problem, Eccentric Orbits, Orbital Elements, Planetary Evolution
Scientific paper
The short term effects of 'shepherding' satellites is examined in the general case where all bodies move along eccentric orbits by analyzing the motion of a ring of particles as their orbits evolve under the gravitational perturbations of the shepherds. This computational approach makes ring evolution calculations extremely efficient numerically, and provides added insight into the nature of this two-body interaction. The procedure is analyzed and applied to several possible configurations of ring and shepherd orbits, emphasizing the F ring. If the F ring-to-satellite distance changes significantly due to eccentricities, the ring can break up into periodic clumps in an azimuthal domain which trails the satellite. This region may lag somewhat in longitude. The perturbations may cause the ring to vary significantly in a width, and can impart a significant, but probably time-variable, eccentricity to the ring.
Burns Joseph A.
Showalter Robert M.
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