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  • The aim of this presentation is to discuss and to apply an optimized approach to combination of a satellite-only model of the Earth’s gravity field and terrestrial gravity measurements. Potential theory is of key importance in this field. Nevertheless, the problem discussed is overdetermined by nature. Therefore, methods typical for the solution of boundary-value problems have to be used together with an optimization concept, target functions and regularization techniques. In the first step the optimized solution was obtained as a series of spherical harmonics, thus interpreted in a spectral domain. Subsequently, summation techniques are applied in order to find the interpretation of the result in terms of an integral representation based on the use of the kernel (Green’s) function related to the particular combination scheme. The kernel function is a radial symmetric function and it is worth mentioning that it attains small values very quickly, that also implies the contribution of terrestrial data in far zones is minimal. This enables to show the tie between the global and the local modelling of the gravity field. The structure of the solution makes it possible to focus with more emphasis on an available local segment of terrestrial gravity data and its influence on the entire optimized solution of the problem that (as a natural constituent part) involves gravity field information contained in the GOCE based model used. Numerical examples and real-case studies based on the data covering the Czech Republic are added to demonstrate the efficiency of the concepts applied and the nature of the solution.
  • The aim of this presentation is to discuss and to apply an optimized approach to combination of a satellite-only model of the Earth’s gravity field and terrestrial gravity measurements. Potential theory is of key importance in this field. Nevertheless, the problem discussed is overdetermined by nature. Therefore, methods typical for the solution of boundary-value problems have to be used together with an optimization concept, target functions and regularization techniques. In the first step the optimized solution was obtained as a series of spherical harmonics, thus interpreted in a spectral domain. Subsequently, summation techniques are applied in order to find the interpretation of the result in terms of an integral representation based on the use of the kernel (Green’s) function related to the particular combination scheme. The kernel function is a radial symmetric function and it is worth mentioning that it attains small values very quickly, that also implies the contribution of terrestrial data in far zones is minimal. This enables to show the tie between the global and the local modelling of the gravity field. The structure of the solution makes it possible to focus with more emphasis on an available local segment of terrestrial gravity data and its influence on the entire optimized solution of the problem that (as a natural constituent part) involves gravity field information contained in the GOCE based model used. Numerical examples and real-case studies based on the data covering the Czech Republic are added to demonstrate the efficiency of the concepts applied and the nature of the solution. (en)
Title
  • On a combined use of GOCE based models and local segments of terrestrial data in gravity field and geoid modelling
  • On a combined use of GOCE based models and local segments of terrestrial data in gravity field and geoid modelling (en)
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  • On a combined use of GOCE based models and local segments of terrestrial data in gravity field and geoid modelling
  • On a combined use of GOCE based models and local segments of terrestrial data in gravity field and geoid modelling (en)
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  • RIV/00025615:_____/12:#0001838!RIV13-MSM-00025615
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  • RIV/00025615:_____/12:#0001838
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  • Modelling of the Earth’s gravity field; geodetic boundary-value problems; overdetermined problems; terrestrial and satellite data; optimization; integral reprezentation of the solution (en)
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  • Holota, Petr
  • Nesvadba, Otakar
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