ON THE DERIVATION OF THE BOUNDARY CONDITION IN THE EARTH FIGURE THEORY (O Vyvode Granichnogo Usloviya Teorii Figury Zemli),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1969
- Accession Number
- AD0697627
Entities
People
- M. I. Yurkina
- V. F. Eremeev
Organizations
- Aeronautical Chart and Information Center