Somigliana-Pizzetti Minimum Distance Telluroid Mapping

  • Alireza A. Ardalan


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.


Gravity Potential Physical Surface Reference Ellipsoid Forward Transformation Isoparametric Mapping 
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© Springer-Verlag Berlin Heidelberg 2003

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  • Alireza A. Ardalan

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