Mathematics – Dynamical Systems
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987stin...8720860r&link_type=abstract
Annual Technical Progress Report Virginia Univ., Charlottesville. Dept. of Applied Mathematics.
Mathematics
Dynamical Systems
Accretion Disks, Dynamical Systems, Particle Collisions, Planetary Rings, Solar System, Gravitational Effects, Planetary Evolution, Protoplanets, Saturn Rings
Scientific paper
Investigations of the collisional evolution of particulate disks subject to the gravitational perturbation of a more massive particle orbiting within the disk are underway. Both numerical N-body simulations using a novel collision algorithm and analytical kinetic theory are being employed to extend our understanding of perturbed disks in planetary rings and during the formation of the solar system. Particular problems proposed for investigation are: (1) The development and testing of general criteria for a small moonlet to clear a gap and produce observable morphological features in planetary rings; (2) The development of detailed models of collisional damping of the wavy edges observed on the Encke division of Saturn's A ring; and (3) The determination of the extent of runaway growth of the few largest planetesimals during the early stages of planetary accretion.
Roberts William W.
Stewart Glen Robert
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