The Stokes' problem for the ellipsoid using ellipsoidal kernels

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1981-06

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Ohio State University. Division of Geodetic Science

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Abstract

A brief review of Stokes' problem for the ellipsoid as a reference surface is given. Another solution of the problem using an ellipsoidal kernel, which represents an iterative form of Stokes' integral, is suggested with a relative error of the order of the flattening. On studying of Rapp's method in detail the procedures of improving its convergence are discussed.

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Prepared for National Aeronautics and Space Administration, Goddard Space Flight Center, Greenbelt, Maryland: Grant No. NGR36-008-161, OSURF Project No. 783210

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