Computer Science
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992icar...95..265o&link_type=abstract
Icarus (ISSN 0019-1035), vol. 95, Feb. 1992, p. 265-282.
Computer Science
12
Optical Thickness, Particle Collisions, Particle Motion, Planetary Rings, Analytic Functions, Approximation, Inelastic Collisions, Velocity Distribution
Scientific paper
An examination is conducted of equilibrium velocities in planetary rings with low optical depth, where the epicyclic approximation for particle motion is applicable. Analytic expressions are derived for the evolutionary rate in the case where the particle restitution coefficient is independent of impact velocity. Inclusion of particle gravity via orbital calculations of the three-body problem indicates, in the case of random velocity smaller than the escape velocity, that not only direct collisions but gravitational scattering are contributors to rapid random-velocity enhancement; eccentricity is noted to grow much more rapidly than inclination. An examination of equilibrium velocities for two-component systems for arbitrary mass ratios shows that while smaller particles' equilibrium velocity is determined by the velocity-dependent restitution coefficient, the velocity of larger particles tends toward energy balance with smaller particles in many cases.
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