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Description
  • Současná tíhová data používaná při přeném studiu tíhového pole Země jsou produktem velmi pokročilých technologií a měřických technik. Často se vztahují k nějakým výjimečným plochám nebo varietám a mohou vést k zajímavým matematickým úlohám. V tomto článku jsou uvažovány tři případy, kdy letecká gravimetrie je kombinována s pozemními tíhovými údaji, kdy letecká měření jsou získána na dvou letových hladinách a kdy družicová gradionetrie je kombinována s pozemními tíhovými daty. Tyto tři případy jsou studovány matematicky a poruchový potenciál je explicitně vyjádřen. Využita je spektrální representace založená na sférických harmonických funkcích. Následně je diskutován optimalizační postup k vyřešení přeurčenosti úloh a zachování typické regularity harmonických funkcí v nekonečnu. Zmíněny jsou rovněž některé praktické aspekty. (cs)
  • Current gravity data, which are used for refined studies of the Earth's gravity field, result from cutting-edge technologies and advanced measuring techniques. They often refer to some exceptional surfaces or manifolds and can lead to interesting mathematical problems. In this paper, three cases are considered where airborne gravimetry is combined with terrestrial gravity data, airborne measurements are collected at two flight levels, and satellite gradiometry is combined with terrestrial gravity data. The three cases are studied mathematically and the disturbing potential is expressed explicitly. The spectral representation based on spherical harmonics is used. Subsequently, an optimum procedure is discussed in order to treat the overdetermined problems and to keep the typical regularity of harmonic functions at infinity. Some practical aspects are also mentioned.
  • Current gravity data, which are used for refined studies of the Earth's gravity field, result from cutting-edge technologies and advanced measuring techniques. They often refer to some exceptional surfaces or manifolds and can lead to interesting mathematical problems. In this paper, three cases are considered where airborne gravimetry is combined with terrestrial gravity data, airborne measurements are collected at two flight levels, and satellite gradiometry is combined with terrestrial gravity data. The three cases are studied mathematically and the disturbing potential is expressed explicitly. The spectral representation based on spherical harmonics is used. Subsequently, an optimum procedure is discussed in order to treat the overdetermined problems and to keep the typical regularity of harmonic functions at infinity. Some practical aspects are also mentioned. (en)
Title
  • A study on two-boundary problems in airborne gravimetry and satellite gradiometry
  • A study on two-boundary problems in airborne gravimetry and satellite gradiometry (en)
  • Studium okrajových úloh se dvěma hranicemi v letecké gravimetrii a družicové gradiometrii (cs)
skos:prefLabel
  • A study on two-boundary problems in airborne gravimetry and satellite gradiometry
  • A study on two-boundary problems in airborne gravimetry and satellite gradiometry (en)
  • Studium okrajových úloh se dvěma hranicemi v letecké gravimetrii a družicové gradiometrii (cs)
skos:notation
  • RIV/00025615:_____/05:000015PH!RIV08-GA0-00025615
http://linked.open.../vavai/riv/strany
  • 173-178
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA205/04/1423)
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
  • 511123
http://linked.open...ai/riv/idVysledku
  • RIV/00025615:_____/05:000015PH
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Gravity field of the Earth, geodetic boundary-value problems, overdetermined problems, optimization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D69403B5E6E3]
http://linked.open...v/mistoKonaniAkce
  • Porto (Portugal)
http://linked.open...i/riv/mistoVydani
  • Berlin-Heidelberg-New York
http://linked.open...i/riv/nazevZdroje
  • Gravity, Geoid and Space Missions - GGSM 2004, IAG Symposia, Vol. 129
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
  • Kern, Michael
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
  • 3-540-26930-4
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