Accession Number : AD0695448

Title :   DISTRIBUTION OF SLOPES ON A CRATERED PLANETARY SURFACE.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Marcus,Allan H.

Report Date : JAN 1969

Pagination or Media Count : 40

Abstract : The distribution of slopes over any finite span on a surface excavated by primary impact craters is derived from a representation of the surface as a 'moving average' of impact events. The cumulants are always positive, and are large for typical mare crater densities. In some cases the distribution can be approximated by a rapidly convergent Gram-Charlier Type A series. The slope distribution has much heavier tails, than a Gaussian distribution with the same variance. Under some conditions, the slopes have approximately a symmetric stable distribution law with characteristic exponent one smaller than the crater diameter population index. Observations of slopes in Mare Cognitum are in good agreement with theory. (Author)

Descriptors :   (*MOON, SURFACES), (*TERRAIN, MATHEMATICAL MODELS), STOCHASTIC PROCESSES, LUNAR SURFACE VEHICLES, TRAFFICABILITY, STATISTICAL PROCESSES, FUNCTIONS(MATHEMATICS), ROUGHNESS, SCATTERING, IMPACT, CRATERING, THEOREMS, LUNAR PROBES, PHOTOMETERS

Subject Categories : Geology, Geochemistry and Mineralogy

Distribution Statement : APPROVED FOR PUBLIC RELEASE