World Geodetic Datum 2000 |
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Authors: | E. W. Grafarend A. A. Ardalan |
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Affiliation: | (1) Department of Geodesy and Geoinformatics, Stuttgart University, Geschwister-Scholl-Str. 24D, D-70174 Stuttgart, Germany e-mail: grafarend@gis.uni-stuttgart.de; Tel.: +49+711+1213390; Fax: +49+711+1213285, DE |
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Abstract: | Based on the current best estimates of fundamental geodetic parameters {W 0,GM,J 2,Ω} the form parameters of a Somigliana-Pizzetti level ellipsoid, namely the semi-major axis a and semi-minor axis b (or equivalently the linear eccentricity ) are computed and proposed as a new World Geodetic Datum 2000. There are six parameters namely the four fundamental geodetic parameters {W 0,GM,J 2,Ω} and the two form parameters {a,b} or {a,ɛ}, which determine the ellipsoidal reference gravity field of Somigliana-Pizzetti type constraint to two nonlinear condition equations. Their iterative solution leads to best estimates a=(6 378 136.572±0.053)m, b=(6 356 751.920 ± 0.052)m, ɛ=(521 853.580±0.013)m for the tide-free geoide of reference and a=(6 378 136.602±0.053)m, b=(6 356 751.860±0.052)m, ɛ=(521 854.674 ± 0.015)m for the zero-frequency tide geoid of reference. The best estimates of the form parameters of a Somigliana-Pizzetti level ellipsoid, {a,b}, differ significantly by −0.39 m, −0.454 m, respectively, from the data of the Geodetic Reference System 1980. Received: 1 February 1999 / Accepted: 31 August 1999 |
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Keywords: | . Form parameters of Somigliana-Pizzetti level ellipsoid Somigliana-Pizzetti gravity field Spheroidal harmonics Spheroidal coordinates |
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