Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions

Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions

The Equivalence Between Molodensky's and Helmert's Solutions

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This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an improperly posed operation, classical methods seem to provide numerically sensible results, and therefore it can be concluded that such classical methods must in fact be manifestations of different, mathematically sound approaches.Here, the authors first prove the equivalence of Molodensky's and Stoke's approaches with Helmert'...