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Titlebook: Geoid Determination; Theory and Methods Fernando Sansò,Michael G. Sideris Book 2013 Springer-Verlag Berlin Heidelberg 2013

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The Analysis of Geodetic Boundary Value Problems in Linear formAssume that . is a smooth surface, in the sense explained in Sect. 13.2, and that there is a function .(.) harmonic in . (the exterior of .), regular at infinity, and we have performed a very large number of measurements that can be expressed as functionals of .(.) at every point . ∈ .. then one can attempt to determine .(.) by solving the BVP .
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The Forward Modelling of the Gravity Fielde start with the gravitation law in Sect. 1.2, we clarify what is a gravitation field, in particular for an extended body, and we prove that this is a conservative or potential field (Sect. 1.3), i.e., the vector field of gravitational accelerations can be expressed as the gradient of a potential. S
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Geoid Determination by 3D Least-Squares Collocationmented by the GRAVSOFT Fortran programs is described. The software also implements the remove-restore method so that gravity variations outside the region of computation are accounted for by subtracting the contribution of an Earth Gravity Model (EGM) and so that statistical homogenisation is achiev
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Topographic Reductions in Gravity and Geoid Modelingquasi-geoid modeling. Terrain and bathymetry models of high-resolution and accuracy are used in order to provide the high-frequency content of the gravity field spectrum through the available mass reduction methods (e.g., terrain corrections, simple and refined Bouguer effects, residual terrain mode
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Combination of Heightsrevious chapters, only a brief introduction to the theoretical issues is included along with some insight into why combining geoid, orthometric and ellipsoidal height data is relevant and important on both regional and global scales. The next section is devoted to a detailed outline of a computation
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On Potential Theory and HS of Harmonic Functionsf geodesy in spaces of harmonic functions is quite justified. More precisely, from the mathematical point of view we are interested in a situation in which . is an open, simply connected bounded set, with a relatively smooth boundary . and . (the complement of the closure of .) is simply connected t
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