Stochastic model for the dissipation of regolith which preserves its characteristic properties during cratering

Mathematics – Probability

Scientific paper

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Cratering, Depth Measurement, Lunar Rocks, Planetary Surfaces, Probability Density Functions, Probability Distribution Functions, Stochastic Processes, Adhesion, Computer Techniques, Dissipation, Dynamic Characteristics, Monte Carlo Method, Surface Layers, Time Dependence

Scientific paper

Regolith-layer dissipation is investigated for the case where the layer particles permanently retain a history of the layer. A stochastic model describing the depth variation of a point during crater formation is used to analyze the dissipation process for a layer which initially lies at a given depth. The average probabilities of the process are calculated from the very beginning, and results are presented which show the values of the final probability density distribution functions for cylindrical, conical, and paraboloido-conical crater shapes, as well as for four combinations of values for the ratio of the average depth of a depression to depression radius and the ratio of the average height of a crater swell to depression radius. Satisfactory agreement with results obtained on the basis of a Monte Carlo model is indicated.

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