Estimation of depth and degree of reworking of lunar regolith from extent of cratering

Mathematics

Scientific paper

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Lunar Craters, Lunar Photographs, Lunar Soil, Lunar Surface, Lunar Landing Sites, Lunik Lunar Probes, Shock Loads

Scientific paper

A method for estimating the depth of the lunar regolith and the degree of its reworking by determining the area occupied by craters and the characteristic value of the ratio of crater depth to diameter is presented mathematically. It is noted that these estimations can be derived from photographs of the lunar surface. The mathematical analysis shows that the depth and the degree of shock-blast reworking of the regolith are directly proportional to the critical diameter of the crater, while the degree of reworking is inversely proportional to crater depth. The characteristic depth and the degree of reworking at a depth of 10 cm are calculated for the regolith at the Luna 16, 17, 20, and 21 landing sites.

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