Mathematics – Logic
Scientific paper
Sep 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jgr...10421951c&link_type=abstract
Journal of Geophysical Research, Volume 104, Issue E9, p. 21951-21956
Mathematics
Logic
27
Planetology: Solid Surface Planets: Impact Phenomena (Includes Cratering), Planetology: Solar System Objects: Venus
Scientific paper
Impact crater density has been used to estimate relative ages of major Venus geologic units, typically based on the assumption of short, globally synchronous formation periods. The total number density of craters is the only parameter which may be quantified for most Venus subregions, in contrast to the size-frequency analysis often used for other planetary studies. This paper examines the statistical limits on such crater counts and the predicted crater density for various possible time-varying surface formation rate functions. These results show that (1) the true mean crater density is poorly constrained due to the limited sample size provided by aggregate geologic units, and (2) any given crater density can be accommodated by a very short pulse of unit formation at some age T, Gaussian-distributed formation functions of mean age
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