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1
Content available Approximation of the spheroid offset surface and the torus offset surface
Borowska A.
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
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2018
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Vol. 31
3--10
EN
In this paper the issue of approximation of the spheroid offset surface off(S(u, v); s) at distance s by the spheroid surface S1(u, v) is considered. The problem of determining the appropriate parameter values for the spheroid offset surface off(S(u, v); s) is important due to the numerous practical applications of the spheroid as a mathematical model of the Earth. We present the algorithm which gives the appropriate parameter values for the spheroid Surface S(u, v) and its offset surface off(S(u, v); s).
PL
W niniejszej pracy rozważa się kwestię aproksymacji powierzchni offsetowej elipsoidy off(S(u, v); s) o odległości s przez elipsoidę S1(u, v). Umiejętność doboru odpowiednich wartości parametrów dla powierzchni elipsoidy i jej offsetu jest istotna ze względu na liczne zastosowania praktyczne elipsoidy spłaszczonej jako matematycznego modelu kuli ziemskiej. Prezentujemy algorytm, który zwraca odpowiednie wartości parametrów dla powierzchni elipsoidy i jej offsetu.
2
Content available remote On the analysis of temporal geoid height variations obtained from GRACE-based GGMs over the area of Poland
Godah W., Szelachowska M., Kryński J.
Acta Geophysica
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2017
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Vol. 65, no. 4
713--725
EN
Temporal mass variations in the Earth system, which can be detected from the Gravity Recovery and Climate Experiment (GRACE) mission data, cause temporal variations of geoid heights. The main objective of this contribution is to analyze temporal variations of geoid heights over the area of Poland using global geopotential models (GGMs) developed on the basis of GRACE mission data. Time series of geoid height variations were calculated for the chosen subareas of the aforementioned area using those GGMs. Thereafter, these variations were analyzed using two different methods. On the basis of the analysis results, models of temporal geoid height variations were developed and discussed. The possibility of prediction of geoid height variations using GRACE mission data over the area of Poland was also investigated. The main findings reveal that the geoid height over the area of Poland vary within 1.1 cm which should be considered when defining the geoid model of 1 cm accuracy for this area.
3
Content available remote Testing of gravimetric quasigeoid by astronomical measurements
Mojzes M., Husar L., Janak J., Papco J., Czarnecki K., Barlik M., Bogusz J., Walo J.
Reports on Geodesy
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2006
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z. 4/79
203-211
EN
The current determination of quasigeoid is largely based on gravimetric observations, which in general do not cover areas equally. That causes decreasing in quality of quasigeoid determination in those areas that are sparsely covered (surveyed) by gravimetric measurements. This situation was occurred on territory of the Slovak Republic in the Tatra Mountains area where gravimetric observations were performed only in some valleys and crests and from Polish side were only applied average values of Bouguer gravity anomalies with a 5' x 7.5' grid spacing (10 km x 10 km) which were transformed to average free-air gravity anomalies. To testing precision of the determined gravimetric quasigeoid it's desirable to use independent method such as astronomical method. Essentially is concerned with comparison astronomical and gravimetric of vertical deflections in the given region and with modelling of the differences between astronomical and gravimetric vertical deflections.
4
Content available remote Testing of gravimetric quasigeoid by astronomical measurements
Mojzes M., Husar L., Janak J., Papco J., Czarnecki K., Barlik M., Bogusz J., Walo J.
Reports on Geodesy
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2004
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nr 2/69
157--166
EN
The current determination of quasigeoid is largely based on gravimetric observations, which in general do not cover areas equally. That causes decreasing in quality of quasigeoid determination in those areas that are sparsely covered (surveyed) by gravimetric measurements. This situation was occurred on territory of the Slovak Republic in the Tatra Mountains area where gravimetric observations were performed only in some valleys and crests and from Polish side were only applied average values of Bouguer gravity anomalies with a 5' x 7.5' grid spacing (10 km x 10 km) which were transformed to average free-air gravity anomalies. To testing precision of the determined gravimetric quasigeoid it's desirable to use independent method such as astronomical method. Essentially is concerned with comparison astronomical and gravimetric of vertical deflections in the given region and with modelling of the differences between astronomical and gravimetric vertical deflections.
5
Content available remote Investigation of the separation between the unregularized and regularized geoid basing on the example of the geodetic test field near Grybów - the Carpathians, south Poland
Barlik M., Kowalik B.
Reports on Geodesy
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2004
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nr 2/69
285--301
EN
The paper presents studies concerned with the different practical approaches to the problem of the unregularized geoid heights determination. The author has taken into account theories given by some scientists to determine on the test field differences between the regularized and unregularized geoid altitude above the GRS'80 ellipsoid. Experiments performed on the test field in sub-mountainously area (near Grybow - Cracov district, South Poland, the Carpathians) gave results which pointed out that unregularized geoid has a shape respectively different in comparison with Molo-denskii 's quasi-geoid and regularized Stokes geoid.
6
Content available remote Geodynamics of the Tatra Mountain. Report of WP 10.5
Czarnecki K., Mojzes M.
Reports on Geodesy
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2004
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nr 2/69
89--93
EN
The Report of WP 10.5 summarises the research activities in the period from 1.4.2003 to 31.3.2004. The research activities were concentrated to the determination of the preliminary relative velocity vectors and preliminary testing of gravimetric quasigeoid by astronomical measurements in the area of the Tatra Mountain.
7
Content available remote Precise geoid estimation in the Brennero area
Barzaghi R., Borghi A., Kuehtreiber N., Sona G.
Reports on Geodesy
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2003
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z. 2/65
279-288
EN
The geoid estimation procedure in the Brennero area was divided in two steps. A data analysis was firstly performed to define possible data onconsistency and deficiencies. Then a gravimetric geoid was estimated according to the well known "remote-restore" procedure. Different techniques to account for the topographic signal were applied and the residual geoid estimate has been computed using Least Squares Collocation (LSC) and Fast Collocation. EGM96 and GPM98CR global geopotential models were also tested to select the one giving the best fit for the long wavelength component of the geopotential field of the area. Geoid undulations were computed on a regular 3`x3` geographical grid in the area 46.25
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