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Molodensky potential telluroid based on a minimum-distance map. Case study: the quasi-geoid of East Germany in the World Geodetic Datum 2000 |
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| Authors: | A. A. Ardalan E. W. Grafarend J. Ihde |
| Affiliation: | Department of Surveying and Geomatics Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, Iran e-mail:?ardalan@ut.ac.ir; Tel.:?+98-21-8008841; Fax:?+98-21-8008837, IR Department of Geodesy and Geoinformatics, Stuttgart University, Geschwister-Scholl-Str. 24, D-70174, Stuttgart, Germany e-mail:?grafarend@gis.uni-stuttgart.de; Tel.:?+49-711-121-3389; Fax:?+49-711-121-3285, DE Bundesamt für Kartographie und Geod?sie, P.O. Box 22 11 36, D-04131 Leipzig, Germany, DE |
| Abstract: | A potential-type Molodensky telluroid based upon a minimum-distance mapping is derived. With respect to a reference potential of Somigliana–Pizzetti type which relates to the World Geodetic Datum 2000, it is shown that a point-wise minimum-distance mapping of the topographical surface of the Earth onto the telluroid surface, constrained to the gauge W(P)=u(p), leads to a system of four nonlinear normal equations. These normal equations are solved by a fast Newton–Raphson iteration. Received: 7 February 2000 / Accepted: 23 October 2001 |
| Keywords: | : Telluroid mapping – Quasi-geoid computation – Minimum-distance mapping – Somigliana – Pizzetti field |
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