Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kfnt....7...15p&link_type=abstract
Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 7, May-June 1991, p. 15-21. In Russian.
Astronomy and Astrophysics
Astronomy
Approximation, Geodetic Accuracy, Geoids, Geopotential Height, Gravimetry, Astrometry, Earth Gravitation, Earth Orientation
Scientific paper
A modification of Molodensky's method for mean square geoid height approximation is derived on the basis of the simple layer potential instead of Stokes' formula. The compactness of the formulas derived makes it possible to readily take into account harmonics of any degree in the far-zone component expansion, as well as to conduct a qualitative analysis of the dependence of harmonic coefficient behavior on the harmonic degree and the near zone radius. Numerical experiments show that the method developed is the most effective for approximating the far-zone influence beyond a spherical cap with a radius of 5 deg.
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