A geometrical model for shepherding

Details A geometrical model for shepherding A geometrical model for shepherding

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pggp.rept..446l&link_type=abstract

In NASA, Washington, Reports of Planetary Geology and Geophysics Program, 1990 p 446 (SEE N92-10728 01-91)

Physics

Geophysics

Angular Momentum, Mathematical Models, Planetary Evolution, Planetary Nebulae, Planetary Rings, Protoplanets, Torque, Celestial Mechanics, Computerized Simulation, Eccentric Orbits, Neptune (Planet), Quasi-Steady States, Resonance

Scientific paper

Shepherding is the process by which a satellite secularly exchanges angular momentum with a nearby particle or gaseous disk. The sense of the torque is such that the separation between the orbits of the particles and the shepherd increases secularly with time. I devised a new technique to analyze the physical nature of shepherding through study of evolution of the vector eccentricity of the particles. This method appears to analyze the physical nature of shepherding in sparse particle disks. Thus, it may be very useful in calculating the torque on Neptune's rings and on protoplanets in the solar nebula. Moreover, the techniques are useful in estimating how long numerical simulations of resonant processes must be run in order to reach a quasi-steady state.

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