Generalization of Stokes's and Hotine's formulas to a non-spherical Earth.

Details Generalization of Stokes's and Hotine's formulas to a non-spherical Earth. Generalization of Stokes's and Hotine's formulas to a non-spherical Earth.

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mgeo...15...74s&link_type=abstract

Manuscr. Geod., Vol. 15, No. 2, p. 74 - 82

Physics

Earth: Geodesy, Earth: Figure

Scientific paper

The free and the fixed geodetic boundary value problems are solved for a non-spherical surface of the Earth. Rigorously the "solutions", called the generalized Stokes's formula and the generalized Hotine's formula, respectively, are integral equations for Molodensky-type boundary value problems. However, they lend themselves to successive approximations. Moreover, for a spherical boundary the solutions become the classical Stokes's and Hotine's formulas.

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