About: Quasigeoid and the relation of ETRS to the Bpv system in the Czech Republic     Goto   Sponge   NotDistinct   Permalink

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  • The paper deals with the development of a novel Czech quasigeoid model and the respective transformation between ETRS and the Czech vertical reference system Bpv (Baltic after adjustment) based on Molodensky's normal heights. The theoretical and numerical approach to quasigeoid modelling have been reconsidered. The determination of the disturbing potential T on the Earth’s surface is treated as the solution of the so-called gravimetric boundary value problem and thus rests on the gravity disturbances used in quality of input data. The representation formula for T has been derived by means of the Green function method interpreted for the exterior of an oblate spheroid. This leads to an integral kernel (an analogue to the so-called Hotine function) better adapted to the geometry of the real boundary. Terrain and oblique derivative effects in the boundary condition are taken into account through successive approximations and a method based on the analytical continuation. The approach enables to focus on detailed gravity and terrain data available in the Czech Republic region and also their influence on the entire solution of the problem with more emphasis. A global low-frequency part of T was estimated and added to the construction of the 50 meter spatial resolution constituent obtained from gravimetric boundary value problem. Moreover, technological and non-gravitational systematical effects associated with Bpv have been identified and added to the quasigeoid model too. Summing up, we have well justified reasons to claim that the result obtained, interpreted in terms of height anomalies or quasigeoid heights within the Bpv system, achieves an accuracy level of about 1 cm in majority of the Czech Republic territory. Therefore, as the result outperforms all quasigeoid models available in the area under consideration so far, we suggest it for adoption as a basis of new transformation between ETRS and the Bpv systems in the Czech Republic.
  • The paper deals with the development of a novel Czech quasigeoid model and the respective transformation between ETRS and the Czech vertical reference system Bpv (Baltic after adjustment) based on Molodensky's normal heights. The theoretical and numerical approach to quasigeoid modelling have been reconsidered. The determination of the disturbing potential T on the Earth’s surface is treated as the solution of the so-called gravimetric boundary value problem and thus rests on the gravity disturbances used in quality of input data. The representation formula for T has been derived by means of the Green function method interpreted for the exterior of an oblate spheroid. This leads to an integral kernel (an analogue to the so-called Hotine function) better adapted to the geometry of the real boundary. Terrain and oblique derivative effects in the boundary condition are taken into account through successive approximations and a method based on the analytical continuation. The approach enables to focus on detailed gravity and terrain data available in the Czech Republic region and also their influence on the entire solution of the problem with more emphasis. A global low-frequency part of T was estimated and added to the construction of the 50 meter spatial resolution constituent obtained from gravimetric boundary value problem. Moreover, technological and non-gravitational systematical effects associated with Bpv have been identified and added to the quasigeoid model too. Summing up, we have well justified reasons to claim that the result obtained, interpreted in terms of height anomalies or quasigeoid heights within the Bpv system, achieves an accuracy level of about 1 cm in majority of the Czech Republic territory. Therefore, as the result outperforms all quasigeoid models available in the area under consideration so far, we suggest it for adoption as a basis of new transformation between ETRS and the Bpv systems in the Czech Republic. (en)
Title
  • Quasigeoid and the relation of ETRS to the Bpv system in the Czech Republic
  • Quasigeoid and the relation of ETRS to the Bpv system in the Czech Republic (en)
skos:prefLabel
  • Quasigeoid and the relation of ETRS to the Bpv system in the Czech Republic
  • Quasigeoid and the relation of ETRS to the Bpv system in the Czech Republic (en)
skos:notation
  • RIV/00025615:_____/13:#0001900!RIV14-MSM-00025615
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • I, P(ED1.1.00/02.0090)
http://linked.open...vai/riv/dodaniDat
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  • 101242
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  • RIV/00025615:_____/13:#0001900
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  • gravimetric boundary value problem; Green's and Hotine's function for the ellipsoid; analytical continuation; nongravitational and systematic effects; ETRS and the Czech vertical referece system (en)
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  • [5D4277FF7DB5]
http://linked.open...i/riv/mistoVydani
  • Potsdam
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  • International Association of Geodesy
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
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http://linked.open...iv/tvurceVysledku
  • Holota, Petr
  • Nesvadba, Otakar
  • Lederer, Martin
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