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