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  • The unprecedented progress in satellite, but also airborne and terrestrial measurements is associated with new possibilities for refined studies on Earth gravity field. At the same time, however, these advances open a number of new problems of theoretical nature. The purpose of this paper is to study the synthesis of satellite, airborne and terrestrial measurements and to show that it brings impulses for the formulation of boundary-value problems, which together with some optimization concepts may offer a reasonable way for the combination of the mentioned data. In a sense the approach offers a generalization or modification of the problems, their importance is well-know in physical geodesy. Mathematical properties and the solution of these problems are discussed. The apparatus of spherical harmonics is applied and it illustrates the synthesis in a spectral domain. The optimization procedure enables to treat the fact that the problems are overdetermined by nature.
  • The unprecedented progress in satellite, but also airborne and terrestrial measurements is associated with new possibilities for refined studies on Earth gravity field. At the same time, however, these advances open a number of new problems of theoretical nature. The purpose of this paper is to study the synthesis of satellite, airborne and terrestrial measurements and to show that it brings impulses for the formulation of boundary-value problems, which together with some optimization concepts may offer a reasonable way for the combination of the mentioned data. In a sense the approach offers a generalization or modification of the problems, their importance is well-know in physical geodesy. Mathematical properties and the solution of these problems are discussed. The apparatus of spherical harmonics is applied and it illustrates the synthesis in a spectral domain. The optimization procedure enables to treat the fact that the problems are overdetermined by nature. (en)
  • Nebývalý rozvoj družicových, ale i leteckých a pozemních měření je spojen s novými možnostmi pro přesné studium tíhového pole Země. Současně však tento pokrok otevírá řadu nových problémů teoretické povahy. Účelem tohoto článku je studovat syntézu družicových, leteckých a pozemních měření a ukázat, že přináší podněty pro formulaci okrajových úloh, které spolu s některými optimalizačními koncepty mohou poskytnout rozumnou cestu pro kombinaci zmíněných dat. V určitém smyslu postup přináší zobecnění či modifikaci problémů, jejichž význam je ve fyzikální geodézii dobře známý. Diskutovány jsou matematické vlastnosti a řešení těchto problémů. Použit je aparát sférických harmonických funkcí. Syntézu ilustruje ve spektrální oblasti. Optimalizační postup umožňuje řešit skutečnost, že problémy jsou svou povahou přeurčené. (cs)
Title
  • On the combination of terrestrial gravity data witrh satellite gradiometry and airborne gravimetry treated in terms of boundary-value problems
  • On the combination of terrestrial gravity data witrh satellite gradiometry and airborne gravimetry treated in terms of boundary-value problems (en)
  • Kombinace pozemních tíhových údajů s družicovou gradiometrií a leteckou gravimetrií řešená ve smyslu okrajových úloh (cs)
skos:prefLabel
  • On the combination of terrestrial gravity data witrh satellite gradiometry and airborne gravimetry treated in terms of boundary-value problems
  • On the combination of terrestrial gravity data witrh satellite gradiometry and airborne gravimetry treated in terms of boundary-value problems (en)
  • Kombinace pozemních tíhových údajů s družicovou gradiometrií a leteckou gravimetrií řešená ve smyslu okrajových úloh (cs)
skos:notation
  • RIV/00025615:_____/07:000016PH!RIV08-GA0-00025615
http://linked.open.../vavai/riv/strany
  • 362-369
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA205/04/1423), P(GA205/06/1330)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 439330
http://linked.open...ai/riv/idVysledku
  • RIV/00025615:_____/07:000016PH
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Earth's gravity field, geodetic boundary-value problems, overdetermined problems, optimization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [05D897D1D307]
http://linked.open...v/mistoKonaniAkce
  • Cairns (Australia)
http://linked.open...i/riv/mistoVydani
  • Berlin-Heidelberg-New York
http://linked.open...i/riv/nazevZdroje
  • Dynamic Planet - Monitoring and Understanding a Dynamic Planet with Geodetic and Oceanographic Tools, IAG Symposia, Vol. 130
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Holota, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-540-49349-5
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