STATISTICS AT TWO POINTS OF THE GRAVITATIONAL OR ELECTRIC FIELD ARISING FROM A RANDOM DISTRIBUTION OF POINT MASSES OR CHARGES.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1969
- Accession Number
- AD0695453
Entities
People
- Allan H. Marcus
Organizations
- Johns Hopkins University