
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 inversesquare 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 inversesquare 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