A general cratering-history model and its implications for the lunar highlands

Details A general cratering-history model and its implications for the lunar highlands A general cratering-history model and its implications for the lunar highlands

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978icar...34...76w&link_type=abstract

Icarus, vol. 34, Apr. 1978, p. 76-88.

Mathematics

8

Highlands, Lunar Craters, Markov Chains, Mathematical Models, Monte Carlo Method, Frequency Distribution, Craters, Lunar, Cratering, Crater Formation, Surface, Origin, History, Moon, Monte Carlo Technique, Abundance, Models, Highlands, Markov

Scientific paper

Through analysis of a large number of Monte Carlo and Markov Chain simulations, a model for determining crater accumulation and crater obliteration histories has been derived. The model generally applies to populations of large craters. It predicts that the following relationships hold for subequilibrium-density crater populations: (1) the more negative the production function's exponent, alpha (N near D super alpha) the lower the crater density at which the population size-frequency distribution will significantly depart from its production function; (2) the more negative the production function's exponent, the less obliteration a crater population will sustain after a set number of impacts. Application of the model to the lunar highlands implies (1) the production function for the large craters is highly structured, resembling the observed size-frequency distribution and not the function N near D to the -2; (2) even the densely cratered highlands have not attained crater saturation or equilibrium. Direct simulations of the highlands' crater population supports the model's implications.

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