Statistics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987icar...71...78w&link_type=abstract
Icarus (ISSN 0019-1035), vol. 71, July 1987, p. 78-90.
Statistics
3
Energy Dissipation, Inelastic Collisions, Particle Motion, Planetary Evolution, Planetary Rings, Circular Orbits, Many Body Problem, Velocity Distribution, Planets, Rings, Collisions, Particles, Energy, Dissipation, Stability, Orbits, Velocity, Distribution, Models, Evolution, Dynamics, Oblateness, Perturbations, Impacts, Statistical Analysis, Fragmentation, Ringlets, Structure, Calculations, Geometry, Diagrams, Density
Scientific paper
Local analysis of impact statistics in view of an N-body model of planetary ring evolution that encompasses two-body dynamics, oblateness perturbations, inelastic collisions, and phase-averaging, indicates that the ring's velocity distribution will collapse for coefficient of restitution values of less than about 0.7; when the value is lower than about 0.25, the semimajor axis distribution tends to collapse toward its local mean value, which in turn results in radial collapse. While instability and expansion are associated with rings having equilibrium velocity distributions, those rings in which the velocity distribution collapses undergo pervasive fragmentation into ringlets. Nevertheless, the fragmented rings are stable.
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