Width of a planetary ring system and the C-ring of Saturn

Mathematics

Scientific paper

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Orbital Mechanics, Particle Motion, Planetary Structure, Saturn Rings, Angular Velocity, Gravitational Effects, Planetary Gravitation, Ring Structures, Roche Limit, Width, Saturn, Rings, Planets, Particles, Velocity, Particle Interactions, Sputtering, Condensation

Scientific paper

The growth of particles in a planetary ring system is considered with reference to the C-ring of Saturn. Small particles arising from various sources collide with and temporarily adhere to larger particles, and the paper presents a mathematical analysis of the conditions under which the small particles will stay long enough on the surface of the larger ones so that a permanent bond will develop. It is initially assumed that the only force acting between the particles is gravitational attraction, and upper and lower limits for the width of a planetary ring are determined. The effects of van der Waals forces are then considered.

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