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  • The purpose of this paper is to discuss the impact of terrestrial and GOCE gravity field data on the solution representing the combination of these information in Earth’s gravity field studies. Potential theory is of key importance in this field, but the problem considered is overdetermined by nature. Therefore, methods typical for the solution of boundary-value problems have to be used together with optimization concepts. In particular the compatibility of the mentioned data sources is examined and the form of an integral representation of the solution is investigated in dependence of the combination scheme and the spectral weighted optimization applied. For this purpose in the first step the optimized solution is expressed by a series of spherical harmonics, thus interpreted in spectral domain. Subsequently, summation techniques are used in order to find a closed form of the respective kernel functions (Green’s functions) in the integral representation of the solution. This shows explicitly the tie between the global and the local modelling of the gravity field. The balance between the influence of terrestrial data and GOCE based models is discussed. The structure of the solution makes it possible to focus with more emphasis on available segments of terrestrial data and their contribution to the optimized solution. Earth’s topography effects and the global flattening are considered. Numerical examples and real-case studies are added to demonstrate the performance of the suggested combination procedure.
  • The purpose of this paper is to discuss the impact of terrestrial and GOCE gravity field data on the solution representing the combination of these information in Earth’s gravity field studies. Potential theory is of key importance in this field, but the problem considered is overdetermined by nature. Therefore, methods typical for the solution of boundary-value problems have to be used together with optimization concepts. In particular the compatibility of the mentioned data sources is examined and the form of an integral representation of the solution is investigated in dependence of the combination scheme and the spectral weighted optimization applied. For this purpose in the first step the optimized solution is expressed by a series of spherical harmonics, thus interpreted in spectral domain. Subsequently, summation techniques are used in order to find a closed form of the respective kernel functions (Green’s functions) in the integral representation of the solution. This shows explicitly the tie between the global and the local modelling of the gravity field. The balance between the influence of terrestrial data and GOCE based models is discussed. The structure of the solution makes it possible to focus with more emphasis on available segments of terrestrial data and their contribution to the optimized solution. Earth’s topography effects and the global flattening are considered. Numerical examples and real-case studies are added to demonstrate the performance of the suggested combination procedure. (en)
Title
  • On the Combination of Terrestrial Data and GOCE Based Models in Earth’s Gravity Field Studies: Compatibility and Spectral Weighted Optimization
  • On the Combination of Terrestrial Data and GOCE Based Models in Earth’s Gravity Field Studies: Compatibility and Spectral Weighted Optimization (en)
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  • On the Combination of Terrestrial Data and GOCE Based Models in Earth’s Gravity Field Studies: Compatibility and Spectral Weighted Optimization
  • On the Combination of Terrestrial Data and GOCE Based Models in Earth’s Gravity Field Studies: Compatibility and Spectral Weighted Optimization (en)
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  • RIV/00025615:_____/14:#0002086!RIV15-GA0-00025615
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  • P(ED1.1.00/02.0090), P(GA14-34595S)
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  • modeling of the Earth’s gravity field; geodetic boundary value problems; overdetermined problems; terrestrial and satellite data; optimization; integral representation of the solution (en)
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  • Holota, Petr
  • Nesvadba, Otakar
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