Combining terrestrial data and satellite-only models in Earth’s gravity field studies: optimization and integral kernels

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F16%3AN0000050" target="_blank" >RIV/00025615:_____/16:N0000050 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Combining terrestrial data and satellite-only models in Earth’s gravity field studies: optimization and integral kernels

Popis výsledku v původním jazyce

In gravity field studies satellite-only models and terrestrial data may successfully complement each other. Potential theory forms the respective basis, but the problem considered is overdetermined by nature. In this paper, therefore, methods for solving boundary-value problems are used together with optimization concepts. The compatibility of the two data sources is examined and the representation of the optimized solution is investigated. In the first stage the solution is expressed by series of spherical harmonics and their summation is approached by numerical techniques directly. Subsequently, mathematical analysis aspects are given more attention. Properties of the series are discussed with the aim to find a way for their closed form representation. This results in the respective integral kernels (Green’s functions) for the problem discussed. The integral representation of the solution gives a better insight into the role, which the input data have in the global and the local modelling of the gravity field. Thus it also illustrates more clearly the contribution of the terrestrial data to the optimized solution. Numerical examples and real case studies are added. Terrestrial data and GOCE based models are used for this purpose.

Název v anglickém jazyce

Combining terrestrial data and satellite-only models in Earth’s gravity field studies: optimization and integral kernels

Popis výsledku anglicky

In gravity field studies satellite-only models and terrestrial data may successfully complement each other. Potential theory forms the respective basis, but the problem considered is overdetermined by nature. In this paper, therefore, methods for solving boundary-value problems are used together with optimization concepts. The compatibility of the two data sources is examined and the representation of the optimized solution is investigated. In the first stage the solution is expressed by series of spherical harmonics and their summation is approached by numerical techniques directly. Subsequently, mathematical analysis aspects are given more attention. Properties of the series are discussed with the aim to find a way for their closed form representation. This results in the respective integral kernels (Green’s functions) for the problem discussed. The integral representation of the solution gives a better insight into the role, which the input data have in the global and the local modelling of the gravity field. Thus it also illustrates more clearly the contribution of the terrestrial data to the optimized solution. Numerical examples and real case studies are added. Terrestrial data and GOCE based models are used for this purpose.

Druh

O - Ostatní výsledky

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů