Accession Number : AD0695445

Title :   COMPOUND POISSON VECTOR FIELDS: APPLICATIONS IN ASTRONOMY.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Marcus,Allan H.

Report Date : JUN 1969

Pagination or Media Count : 22

Abstract : The characteristic function of the joint distribution of a random vector field at two points in space is derived from a representation of the field as the moving average of a homogeneous Poisson point process in an n-dimensional space. This model is used to derive a stable distribution law for the distribution of elevations on a cratered planetary surface; the spectral density function of elevations and the probability density of slopes on a cratered surface are also shown to be approximately inverse-power laws. (For further explanation, see AD-695 450.) In the second application, the logitudinal and transverse covariance functions of a random stellar force field are derived; they are linear functions of distance at distances less than a 'stellar diameter', and inverse cubic functions of distance at distances greater than a 'stellar diameter'. (For further explanation, see AD-695 453.) (Author)

Descriptors :   (*EXTRATERRESTRIAL TOPOGRAPHY, VECTOR ANALYSIS), (*VECTOR ANALYSIS, *STOCHASTIC PROCESSES), DISTRIBUTION FUNCTIONS, MOON, CRATERING, STARS, GRAVITY

Subject Categories : Astrophysics
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE