Quasi-equilibrium in collisional systems

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Eccentric Orbits, Orbit Perturbation, Orbital Elements, Particle Collisions, Planetary Mass, Computerized Simulation, Elastic Scattering, Kepler Laws, Planetology, Power Series, Poynting-Robertson Effect, Protoplanets, Quasi-Steady States, Transport Theory

Scientific paper

A study of quasi-equilibrium states in the presence of perturbations is presented, with attention given to two major types: (1) linear systems, in which the coefficient of restitution must depend on the velocity of impact to maintain the equilibrium, and (2) nonlinear systems in which there is no such dependence, but in which an appropriate perturbation is needed. Quasi-equilibrium systems are bimodal, without the possibility of stable configurations between certain values of the optical thickness. The accretion of matter in a proto-planet may trigger a jump from one stable region to another in the surrounding medium; in which case a dense zone is produced, at the distance of 16/9 planetary radii, which may explain the origin of planetary rings. The 16/9 radii distances for Jupiter, Saturn and Uranus agree with observations.

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