Computer Science
Scientific paper
Jun 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983m%26p....28..267h&link_type=abstract
Moon and the Planets (ISSN 0165-0807), vol. 28, June 1983, p. 267-303.
Computer Science
17
Jupiter Rings, Particle Collisions, Protoplanets, Saturn Rings, Uranus Rings, Boltzmann Transport Equation, Optical Thickness, Particle Motion
Scientific paper
Nonzero particle size, and the influence of gravitational encounters, are included in the present theory of partially elastic collisions for frictionless planetesimals in an arbitrary gravitational field. Self-gravitating, rotationally symmetric disk or ring equations are written in an explicit form, and it is found that such systems are bimodal in the same fashion as Keplerian systems, having two kinds of stable configurations which may coexist in adjacent regions without disturbing mechanical equilibrium. The characteristic S-shape which several authors have found for the relation between viscosity and optical thickness in Keplerian systems becomes more complicated if the contribution of self-gravitation increases. Stable solutions may in some cases imply a certain minimum value of the optical thickness.
Hameen-Anttila K. A.
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