Combining terrestrial data and satellite-only models in Earth’s gravity field studies: optimization and integral kernels
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Combining terrestrial data and satellite-only models in Earth’s gravity field studies: optimization and integral kernels
Original language description
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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
DE - Earth magnetism, geodesy, geography
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů