Mathematics – Logic
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976moon...16...71j&link_type=abstract
The Moon, vol. 16, Dec. 1976, p. 71-114.
Mathematics
Logic
Computer Techniques, Lunar Craters, Lunar Maps, Meteorite Craters, Spatial Distribution, Data Bases, Geological Surveys, Lunar Evolution, Lunar Geology, Meteoritic Damage, Pre-Imbrian Period, Statistical Distributions
Scientific paper
An analysis has been made of the tendency of large lunar craters to lie along circles. A catalog of the craters at least 50 km in diameter was prepared first, noting position, diameter, rim sharpness and completion, nature of underlying surface, and geological age. The subset of those craters 50-400 km in diameter was then used as input to computer programs which identified each 'family' of four or more craters of selected geological age lying on a circular arc. For comparison, families were also identified for randomized crater models in which the crater spatial density was matched to that on the moon, either overall or separately for mare and highland areas. The observed frequency of lunar arcuate families was statistically highly significantly greater than for the randomized models, for craters classified as either late-pre-Imbrian (Nectarian), middle pre-Imbrian, or early pre-Imbrian, as well as for a number of larger age-classes. The lunar families tend to center in specific areas of the moon; these lie in highlands rather than maria and are different for families of Nectarian craters than for pre-Nectarian. The origin of the arcuate crater groupings is not understood.
Bulkley E. O.
Jaffe Leonard D.
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