Statistical mechanics of Keplerian orbits. IV

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Collision Parameters, Orbital Mechanics, Particle Collisions, Statistical Mechanics, Astrophysics, Collision Rates, Computerized Simulation, Coordinates, Particle Density (Concentration), Saturn Rings

Scientific paper

Theoretical predictions agree with computer simulations at least for those collisional systems in which the restitution coefficient is independent of impact velocity. An uncertainty principle for the orbits restricts the validity of the theory and its predictions. Discussion of the whole theory and of computer simulations shows that a velocity-dependent restitution coefficient provides the only astronomically interesting applications of the collisional processes. The Saturnian and Uranian ring systems correspond very well to theoretical expectations if the restitution coefficient is of this type.

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