Accession Number : AD0695460

Title :   STOCHASTIC MODELS OF LUNAR ROCKS AND REGOLITH. PART I. CATASTROPHIC SPLITTING THEORY.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Marcus,Allan H.

Report Date : AUG 1969

Pagination or Media Count : 54

Abstract : It is assumed that a rock on the lunar surface loses mass as a result of the random bombardment by meteoroids. The mass of rock can be modelled as a non-increasing stochastic process with independent increments. In some cases, Filippov's model of a self-similar independent splitting process can be solved exactly. These results are extended in two directions. A new explicit asymptotic number density, which depends on a confluent hypergeometric function of the second kind, is obtained for the case that the one-shot splitting law is a two-term polynomial. The average number density with respect to a distribution of initial rock masses and initial rock birthdays has also been studied. The appropriate model parameters are estimated from laboratory hypervelocity impact and possible rock-size distributions (all approximately inverse power laws) derived for young rock populations, old rock populations, and mixtures of rock populations of various ages. (Author)

Descriptors :   (*MOON, SURFACE PROPERTIES), (*ROCK, MATHEMATICAL MODELS), METEORITES, IMPACT, EROSION, RUPTURE, PARTICLE SIZE, GEOLOGIC AGE DETERMINATION, LUNAR PROBES, STOCHASTIC PROCESSES, PROBABILITY

Subject Categories : Geology, Geochemistry and Mineralogy

Distribution Statement : APPROVED FOR PUBLIC RELEASE