Collisional Planetary Rings: The Role of the Width and the Optical Depth

Details Collisional Planetary Rings: The Role of the Width and the Optical Depth Collisional Planetary Rings: The Role of the Width and the Optical Depth

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001rmxac..11...11e&link_type=abstract

"IX Latin American Regional IAU Meeting, "Focal Points in Latin American Astronomy", held in Tonantzintla, Mexico, Nov 9-13, 199

Astronomy and Astrophysics

Astronomy

Scientific paper

We show analytically that the torque exerted by a satellite over a (collisionless) planetary ring centered at a first order resonance, is a function only of the product Wt, where W is the width of the ring and t is the time since the satellite is "created". For t<0 particles are in unperturbed keplerian orbits around the planet. The analytical work is made to lowest possible order in the perturbed variables. We also show the results of numerical integrations of the full Newtonian equations of motion for collisionless and collisional rings and show that: i) For collisionless rings, the value of the mean torque is a function of tW for ttcoll, the mean torque stays constant or starts diminishing depending on the value of the optical depth and the depth of the gap that opens at the resonance.

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