Abstract
A minimum distance mapping from the physical surface of the earth to the telluroid under the normal filed of Somigliana-Pizzetti is constructed. The point-wise minimum distance mapping under the constraint that actual gravity potential at the a point of physical surface of the earth be equal to normal potential of Somigliana-Pizzetti leads to a system of four nonlinear equations. The normal equations of minimum distance mapping are derived and solved via Newton-Raphson iteration. The problem of the existence and uniqueness of the solution is addressed. As a case study the quasi-geoid for the state Baden-Württemberg (Germany) is computed.
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Ardalan, A.A. (2003). Somigliana-Pizzetti Minimum Distance Telluroid Mapping. In: Grafarend, E.W., Krumm, F.W., Schwarze, V.S. (eds) Geodesy-The Challenge of the 3rd Millennium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05296-9_16
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DOI: https://doi.org/10.1007/978-3-662-05296-9_16
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