Velocity dispersion in particulate disks with size distribution

Details Velocity dispersion in particulate disks with size distribution Velocity dispersion in particulate disks with size distribution

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...44..207l&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 44, March 1989, p. 207-218. Research supported by the Emil Aaltonen Foundation.

Statistics

Computation

4

Computational Astrophysics, Gravitational Fields, Many Body Problem, Particle Size Distribution, Planetary Rings, Velocity Distribution, Astronomical Models, Kepler Laws, Planetary Evolution, Protoplanets

Scientific paper

Quasi-equilibrium solutions for the pre-planetary disk are studied in terms of Hae meen-Anttila's theory (1984) of collisional, self-gravitating systems. The distribution of particle sizes is assumed to follow simple power-law distributions, with a power index in the range of 1.5-5.0. The treatment includes mutual impacts with a velocity dependent coefficient of restitution, as well as gravitational encounters with dynamical friction. The mean gravitational field of the disk is also taken into account. The results indicate that the energy(equi)-partition depends mainly on the index of size distribution, but is also affected by the optical thickness of the system, as well as on the vertical thickness as compared to the particle size. The vertical component of the gravitational field is found to be important, especially when the mass of the system is concentrated on the large particles.

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