Statistical mechanics of Keplerian orbits. II - Dispersion in particle size

Details Statistical mechanics of Keplerian orbits. II - Dispersion in particle size Statistical mechanics of Keplerian orbits. II - Dispersion in particle size

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..43..145h&link_type=abstract

Astrophysics and Space Science, vol. 43, Aug. 1976, p. 145-174.

Physics

Condensed Matter

Statistical Mechanics

9

Elastic Scattering, Kepler Laws, Orbital Mechanics, Particle Collisions, Particle Size Distribution, Statistical Mechanics, Astronomical Models, Distribution Functions, Interplanetary Dust, Kinetic Theory, Particle Motion, Saturn Rings

Scientific paper

A dispersion in particle sizes is incorporated into the theory of partially elastic collisions on Keplerian orbits. Very different particles can never coexist for long periods if their elasticity parameter depends on the kinetic energy in collisions. If a system initially consists of a mixture of sizes, two possibilities for its evolution exist. If the smaller particles initially dominate, then they fall rapidly to the central body without affecting the remaining system. If the larger particles dominate, then a ring-shaped system is formed. This is one possible mechanism for the origin of Saturn's rings. A dust content is also able to create a gap like the Cassini division.

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