Global geoidal undulations as inferred from the Bruns formula and from inversion of the geopotential series

Studia Geophysica et Geodaetica - Tập 31 - Trang 228-251 - 1987
Zdeněk Martinec1, Karel Pěč1
1Department of Geophysics and Meteorology, Faculty of Mathematics and Physics, Charles University, Prague

Tóm tắt

The problem of inverting the geopotential series with respect to the geoid radius has been solved. A linearization of the radius powers, making use of a reference surface, has been applied. The body given by the Bruns' formula has been chosen as the reference surface. Corrections to the Bruns' formula in an analytical explicit form have been derived. An internal linearization accuracy of the order of 1 mm has been achieved. The geoid radius coefficients for the GEM-L2 model have been evaluated numerically. The corrections have been found to range from −90 to 90 cm.

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Studia Geophysica et Geodaetica

Tập 31

228-251

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