Statistics – Computation
Scientific paper
Mar 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988aj.....95..925w&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 95, March 1988, p. 925-940. Research supported by the University of Toronto.
Statistics
Computation
181
Astronomical Models, Computerized Simulation, Planetary Rings, Saturn Rings, Computational Astrophysics, Liquid Phases, Solar System, Solid Phases, Planets, Rings, Simulations, Numerical Methods, Equilibrium, Models, Theoretical Studies, Parameters, Boundaries, Equation Of Motion, Motion, Calculations, Particles, Optical Properties, Depth, Angular Momentum, Transport, Viscosity, Velocity, Gravity Effects
Scientific paper
The authors present a new numerical method for studying the equilibrium properties of planetary rings, in which a small patch of the ring is simulated with periodic boundary conditions. The results of the simulations compare favorably with the results of kinetic theory of dense fluids so long as the filling factor in the midplane is less than about 0.5. The conclusion of Araki and Tremaine (1986) that the condition for the viscous instability is not fulfilled is confirmed. The authors find that the "standard" ring model, with the particles all of the same size, develops vertically stratified layers at large optical depths (τ ⪆ 1) when mean self-gravity is included.
Tremaine Scott
Wisdom Jeffrey
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