Accession Number : AD0695453

Title :   STATISTICS AT TWO POINTS OF THE GRAVITATIONAL OR ELECTRIC FIELD ARISING FROM A RANDOM DISTRIBUTION OF POINT MASSES OR CHARGES.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Marcus,Allan H.

Report Date : JUL 1969

Pagination or Media Count : 25

Abstract : Suppose that a random vector field (gravitational, electric) can be represented as the superposition of isotropic disturbances arising from a homogeneous random distribution of points (masses, charges). The characteristic function of the joint distribution at two points in space is derived for an arbitrary force law. For an inverse-square force cut off below a minimum distance ('stellar radius'), the pairwise longitudinal and transverse covariance functions in three dimensions are especially simple: linear functions of distance at distances less than a stellar diameter, inverse cubic functions of distance at greater distances. Integral representations are derived for pairwise correlations in two dimensions, and triple correlations in three dimensions, for an inverse-square force law cut off below a stellar radius. (Author)

Descriptors :   (*STARS, FIELD THEORY), (*STATISTICAL DISTRIBUTIONS, VECTOR SPACES), ELECTROMAGNETIC FIELDS, GRAVITY, VECTOR ANALYSIS, STOCHASTIC PROCESSES, DISTRIBUTION FUNCTIONS

Subject Categories : Astrophysics
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE