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  • In the determination of the gravity field of the Earth the accuracy requirements represent a driving impulse for the use of direct and numerical methods in the solution of geodetic boundary value problems. The approach applied here for the solution of the linear gravimetric boundary value problem follows Galerkin's approximations. It is formulated directly for the surface of the Earth as the boundary of the domain of harmonicity. Thus, the accuracy of the solution is only limited by the accuracy of gravimetric data, the data coverage and the capability of the hardware. Extensive numerical simulations have been done using simulated gravity data derived from EGM96. Solutions for spherical and more general boundaries have been computed. They also show the oblique derivative effect, usually neglected in geodesy. Different function bases were used to represent the disturbing potential. The obtained solutions are compared with EGM96 in terms of potential values and gravity disturbances.
  • In the determination of the gravity field of the Earth the accuracy requirements represent a driving impulse for the use of direct and numerical methods in the solution of geodetic boundary value problems. The approach applied here for the solution of the linear gravimetric boundary value problem follows Galerkin's approximations. It is formulated directly for the surface of the Earth as the boundary of the domain of harmonicity. Thus, the accuracy of the solution is only limited by the accuracy of gravimetric data, the data coverage and the capability of the hardware. Extensive numerical simulations have been done using simulated gravity data derived from EGM96. Solutions for spherical and more general boundaries have been computed. They also show the oblique derivative effect, usually neglected in geodesy. Different function bases were used to represent the disturbing potential. The obtained solutions are compared with EGM96 in terms of potential values and gravity disturbances. (en)
  • Při určování tíhového pole Země představují požadavky přesnosti podnět pro použití přímých a numerických metod k řešení geodetických okrajových úloh. Aplikovaný postu k řešení lineární gravimetrické úlohy sleduje Galerkinovy aproximace. Je formulován přímo pro povrch Země jako hranici oblasti harmoničnosti. Přesnost řešení je proto limitována pouze přesností tíhových dat, datovým pokrytím a kapacitou hardwaru. Byly provedeny rozsáhlé numerické simulace s využitím simulovaných údajů odvozených z EGM96. Byla vypočtena řešení pro sférickou a také obecnější hranici. Ukazují i účinek šikmé derivace, který je obvykle v geodézii zanedbávan. K vyjádření poruchového potenciálu byly využity různé funkcionální base. Získaná řešení jsou porovnána s EGM96 ve smyslu hodnot potenciálu a tíhových poruch. (cs)
Title
  • A direct method and its numerical interpretation in the determination of the Earth's gravity field from terrestrial data
  • A direct method and its numerical interpretation in the determination of the Earth's gravity field from terrestrial data (en)
  • Přímá metoda a její numerická interpretace při určení tíhového pole Země z pozemních údajů (cs)
skos:prefLabel
  • A direct method and its numerical interpretation in the determination of the Earth's gravity field from terrestrial data
  • A direct method and its numerical interpretation in the determination of the Earth's gravity field from terrestrial data (en)
  • Přímá metoda a její numerická interpretace při určení tíhového pole Země z pozemních údajů (cs)
skos:notation
  • RIV/00025615:_____/07:000017PH!RIV08-GA0-00025615
http://linked.open.../vavai/riv/strany
  • 370-376
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
  • 407874
http://linked.open...ai/riv/idVysledku
  • RIV/00025615:_____/07:000017PH
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Gravity field modelling, linear gravimetric boundar-value problem, Galerkin's method, oblique derivative effect (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [E4B5984AF391]
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
  • Nesvadba, Otakar
  • Klees, Roland
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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