
Accession Number : AD0778829
Title : Computation of Ellipsoidal Mass Distributions,
Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE
Personal Author(s) : Moritz,Helmut
Report Date : NOV 1973
Pagination or Media Count : 60
Abstract : The present report studies the computation of density distributions for the reference ellipsoid using a sphericalharmonic expansion to the second order in the flattening. The computational formulas are given and, as an example, a polynomial model is calculated. It is found that, for each density distribution in hydrostatic equilibrium, there exists a corresponding ellipsoidal configuration such that corresponding internal level surfaces have very nearly the same flattening. The deviations of ellipsoidal mass distributions from hydrostatic equilibrium figures are investigated, and formulas and numerical estimates are given for the separation between surfaces of constant density and surfaces of constant potential, and for nonhydrostatic stress differences. (Author)
Descriptors : *Geodesy, *Earth models, Mathematical models, Gravity, Mass, Distribution functions, Harmonic analysis
Subject Categories : Geodesy
Distribution Statement : APPROVED FOR PUBLIC RELEASE