Physics
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991icar...90..139a&link_type=abstract
Icarus (ISSN 0019-1035), vol. 90, March 1991, p. 139-171.
Physics
33
Inelastic Collisions, Kinetic Theory, Particle Collisions, Planetary Rings, Rotating Environments, Degrees Of Freedom, Particle Size Distribution, Planetary Structure, Vertical Distribution, Planets, Particles, Dynamics, Density, Spin, Thermal Properties, Size, Collisions, Theoretical Studies, Kinetics, Optical Properties, Depth, Numerical Methods, Structure, Stability, Rings, Parameters, Velocity, Calculations, Gravity Effects, Viscosity, Models, Momentum, Elasticity
Scientific paper
The kinetic theory of planetary rings developed by Araki and Tremaine (1986) and Araki (1988) is extended and refined, with a focus on the implications of finite particle size: (1) nonlocal collisions and (2) finite filling factors. Consideration is given to the derivation of the equations for the local steady state, the low-optical-depth limit, and the steady state at finite filling factors (including the effects of collision inelasticity, spin degrees of freedom, and self-gravity). Numerical results are presented in extensive graphs and characterized in detail. The importance of distinguishing effects (1) and (2) at low optical depths is stressed, and the existence of vertical density profiles with layered structures at high filling factors is demonstrated.
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