Planetary shape - Internal constraints for small bodies

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Planets, Shape, Physical Properties, Size, Surface, Viscosity, Thermal Effects, Temperature, Distribution, Interiors, Formation, History, Relaxation, Differentiation, Convection, Models, Depth, Composition, Ice, Silicate, Saturn, Satellites, Phoebe, Hyperion, Radiogenic Elements, Abundance, Hypotheses, Albedo, Cores

Scientific paper

An analytical model is developed for the rate of relaxation of small bodies and satellites into an approximately spherical shape, assuming the relaxation is caused by gravitational and solid-state forces. Creep (viscous relaxation) is employed as the mechanism which alters the shape of the bodies, which could be moons like Hyperion or Phoebe and have diameters under 300 km. The creep interval is shown to be proportional to viscosity and to the inverse square of the object's linear dimension. Complete relaxation can occur if certain temperature levels are experienced during the evolutionary history. Also, various matter combinations are more conducive to relaxation than others, e.g., ice and silicate rock will allow more relaxation than will a pure material.

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