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Titel On the effect of planar approximation in the Geodetic Boundary Value Problem
VerfasserIn Bernhard Heck, Melanie Müßle, Kurt Seitz, Thomas Grombein
Konferenz EGU General Assembly 2013
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 15 (2013)
Datensatznummer 250080079
 
Zusammenfassung
In the framework of the analytical treatment of the Geodetic Boundary Value Problem (GBVP) various approximations are necessary in order to end up with a solution in "closed" form. Besides linearisation and isotropic ("spherical") approximation the so-called planar approximation has been introduced by Moritz (1980) in the case of a non-spherical, topographic boundary surface. In the paper the effect of the planar approximation on the boundary condition and on the disturbing potential is estimated. This analysis which is valid for the free and the fixed versions of the GBVP simultaneously is based on high-resolution digital elevation models (DEM) and shows that the numerical estimates depend on the resolution of the DEMs.