On the ellipsoidal correction to the spherical Stokes solution of the gravimetric geoid |
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| Authors: | J Huang M Véronneau S D Pagiatakis |
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| Institution: | (1) Geodetic Survey Division, Natural Resources Canada, 615 Booth Street, Ottawa, Ontario, Canada, K1A 0E9;(2) Department of Earth and Atmospheric Science, York University, Toronto, Ontario, Canada, M3J 1P3 |
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| Abstract: |  The solutions of four ellipsoidal approximations for the gravimetric geoid are reviewed: those of Molodenskii et al., Moritz, Martinec and Grafarend, and Fei and Sideris. The numerical results from synthetic tests indicate that Martinec and Grafarend s solution is the most accurate, while the other three solutions contain an approximation error which is characterized by the first-degree surface spherical harmonic. Furthermore, the first 20 degrees of the geopotential harmonic series contribute approximately 90% of the ellipsoidal correction. The determination of a geoid model from the generalized Stokes scheme can accurately account for the ellipsoidal effect to overcome the first-degree surface spherical harmonic error regardless of the solution used. |
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| Keywords: | Ellipsoidal correction Geoid Geodetic boundary value problem |
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