Regional gravity modeling in terms of spherical base functions |
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Authors: | Michael Schmidt Martin Fengler Torsten Mayer-Gürr Annette Eicker Jürgen Kusche Laura Sánchez Shin-Chan Han |
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Institution: | 1.Deutsches Geod?tisches Forschungsinstitut (DGFI),Munich,Germany;2.Geomathematics Group,Technical University of Kaiserslautern,Kaiserslautern,Germany;3.Institute of Theoretical Geodesy,University of Bonn,Bonn,Germany;4.Delft Institute of Earth Observation and Space Systems (DEOS),Delft University of Technology,Delft,The Netherlands;5.Geodetic Science, Department of Geological Sciences,Ohio State University,Columbus,USA |
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Abstract: | This article provides a survey on modern methods of regional gravity field modeling on the sphere. Starting with the classical
theory of spherical harmonics, we outline the transition towards space-localizing methods such as spherical splines and wavelets.
Special emphasis is given to the relations among these methods, which all involve radial base functions. Moreover, we provide
extensive applications of these methods and numerical results from real space-borne data of recent satellite gravity missions,
namely the Challenging Minisatellite Payload (CHAMP) and the Gravity Recovery and Climate Experiment (GRACE). We also derive
high-resolution gravity field models by effectively combining space-borne and surface measurements using a new weighted level-combination
concept. In addition, we outline and apply a strategy for constructing spatio-temporal fields from regional data sets spanning
different observation periods. |
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Keywords: | Regional gravity modeling Spherical radial base functions Multi-resolution representation Spherical wavelets Challenging Minisatellite Payload (CHAMP) and Gravity Recovery and Climate Experiment (GRACE) |
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