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Statements

Subject Item
n2:RIV%2F00025615%3A_____%2F14%3A%230002086%21RIV15-GA0-00025615
rdf:type
n8:Vysledek skos:Concept
dcterms:description
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.
dcterms: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
skos:prefLabel
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
skos:notation
RIV/00025615:_____/14:#0002086!RIV15-GA0-00025615
n3:aktivita
n17:P
n3:aktivity
P(ED1.1.00/02.0090), P(GA14-34595S)
n3:dodaniDat
n7:2015
n3:domaciTvurceVysledku
n12:3365093 n12:7619413
n3:druhVysledku
n10:A
n3:duvernostUdaju
n14:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
34407
n3:idVysledku
RIV/00025615:_____/14:#0002086
n3:jazykVysledku
n11:eng
n3:klicovaSlova
modeling of the Earth’s gravity field; geodetic boundary value problems; overdetermined problems; terrestrial and satellite data; optimization; integral representation of the solution
n3:klicoveSlovo
n6:terrestrial%20and%20satellite%20data n6:modeling%20of%20the%20Earth%E2%80%99s%20gravity%20field n6:optimization n6:geodetic%20boundary%20value%20problems n6:overdetermined%20problems n6:integral%20representation%20of%20the%20solution
n3:kodPristupu
n15:L
n3:kontrolniKodProRIV
[C9C8C0C12BF7]
n3:mistoVydani
Paris
n3:objednatelVyzkumneZpravy
European Space Agency
n3:obor
n4:DE
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n16:ED1.1.00%2F02.0090 n16:GA14-34595S
n3:rokUplatneniVysledku
n7:2014
n3:tvurceVysledku
Nesvadba, Otakar Holota, Petr