Accession Number : AD0697627

Title :   ON THE DERIVATION OF THE BOUNDARY CONDITION IN THE EARTH FIGURE THEORY (O Vyvode Granichnogo Usloviya Teorii Figury Zemli),

Corporate Author : AERONAUTICAL CHART AND INFORMATION CENTER ST LOUIS MO LINGUISTIC SECTION

Personal Author(s) : Eremeev,V. F. ; Yurkina,M. I.

Report Date : OCT 1969

Pagination or Media Count : 11

Abstract : The boundary condition for the disturbing potential used in the theory of the earth's figure may be set up for the surface to be determined, and need not be referred to the sphere or ellipsoid in the case of determining a regularized geoid, nor to the surface which is obtained by plotting only normal heights from the reference surface when studying the earth's surface and its exterior gravity field. Errors arising from integration on an unknown surface do not exceed the products T zeta/R or TO, where zeta is the quasigeoidal or geoidal height, R is the earth's radius, and O is the plumbline deflection. The above errors are evaluated in more detail in the case of Molodenskiy's solution to determine the figure of the regularized geoid with a relative error on the order of the square of the earth's flattening. No need arises to determine the vertical gravity gradient. (Author)

Descriptors :   (*GEODESICS, BOUNDARY VALUE PROBLEMS), ELLIPSOIDS, DEFLECTION, NUMERICAL INTEGRATION, GRAVITY, ERRORS, SPHERES, ANOMALIES, EARTH(PLANET), USSR

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE