Resonant Satellite Torques on Low Optical Depth Particulate Disks. II. Numerical Simulations

Details Resonant Satellite Torques on Low Optical Depth Particulate Disks. II. Numerical Simulations Resonant Satellite Torques on Low Optical Depth Particulate Disks. II. Numerical Simulations

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icar..152...29e&link_type=abstract

Icarus, Volume 152, Issue 1, pp. 29-47 (2001).

Physics

3

Scientific paper

This paper presents the results of numerical simulations of collisionless and collisional annuli of test particles centered at the 2 : 1 inner Lindblad resonance of a small satellite. We discuss the role of the physical width W' (around the resonance) in the value of the initial transient torque for both collisionless and collisional systems. We demonstrate analytically as well as numerically that the torque over the collisionless particulate annuli (before the problem becomes nonlinear) is a function that depends exclusively on the product W't', where t' is the time. For the collisional case, the secular torque after the first transient depends on both the mean time between collisions, t'coll, and the physical width of the annulus. Under certain restrictions on the value of t'coll, the secular torque for t'>t'coll depends exclusively on the product W't'coll, in the same form as for the collisionless case.

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