Abstract
In this chapter, first we will define the Helmert Stokes BVP and show its equivalence to the classical Stokes BVP on the co-geoid. Then we will look at the boundary values and the solutions of the Helmert Molodensky (HM) and Helmert Stokes (HS) BVPs, and show their equivalence when they are related to each other by the so-called “analytical (downward) continuation” process in linear approximation.
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Sansò, F., Sideris, M.G. (2017). On the Equivalent BVPs of Stokes and Helmert, and Their Relations to the Molodensky BVP by Analytical Continuation. In: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. SpringerBriefs in Earth Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-46358-2_4
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DOI: https://doi.org/10.1007/978-3-319-46358-2_4
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