GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY

To formulate the fundamental formula of physical geodesy at the physical surface of the Earth, the gravity anomalies are used instead of the gravity disturbances, because the geodetic heights above the geocentric reference ellipsoid are not usually available. The relation between the gravity anomaly...

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Main Authors: Robert Tenzer, Petr Vaníček
Format: Article
Language:English
Published: Universidade Federal de Uberlândia 2006-02-01
Series:Revista Brasileira de Cartografia
Subjects:
Online Access:http://www.seer.ufu.br/index.php/revistabrasileiracartografia/article/view/43488
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spelling doaj-1b7c0edca7c24b5cbb5729fbf08b850d2020-11-25T03:34:58ZengUniversidade Federal de UberlândiaRevista Brasileira de Cartografia0560-46131808-09362006-02-01551GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESYRobert Tenzer0Petr Vaníček1University of New BrunswickUniversity of New BrunswickTo formulate the fundamental formula of physical geodesy at the physical surface of the Earth, the gravity anomalies are used instead of the gravity disturbances, because the geodetic heights above the geocentric reference ellipsoid are not usually available. The relation between the gravity anomaly and the gravity disturbance is defined as a product of the normal gravity gradient referred to the telluroid and the height anomaly according to Molodensky's theory of the normal heights (Molodensky, 1945; Molodensky et al., 1960). Considering the normal gravity gradient referred to the surface of the geocentric reference ellipsoid, this relation is redefined as a function of the normal height (VaníÄek et al., 1999). When the orthometric heights are practically used for the realization of the vertical datum, the geoid-quasigeoid correction is applied to the fundamental formula of physical geodesy to determine the precise geoid. Theoretical formulation of the geoid-quasigeoid correction to the fundamental formula of physical geodesy can be found in Martinec (1993) and VaníÄek et al. (1999). In this paper, the numerical investigation of this correction at the territory of Canada is shown and the error analysis is introduced.http://www.seer.ufu.br/index.php/revistabrasileiracartografia/article/view/43488Geoid-Quasigeoid Correctiongravityheight.
collection DOAJ
language English
format Article
sources DOAJ
author Robert Tenzer
Petr Vaníček
spellingShingle Robert Tenzer
Petr Vaníček
GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
Revista Brasileira de Cartografia
Geoid-Quasigeoid Correction
gravity
height.
author_facet Robert Tenzer
Petr Vaníček
author_sort Robert Tenzer
title GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
title_short GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
title_full GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
title_fullStr GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
title_full_unstemmed GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY
title_sort geoid-quasigeoid correction in formulation of the fundamental formula of physical geodesy
publisher Universidade Federal de Uberlândia
series Revista Brasileira de Cartografia
issn 0560-4613
1808-0936
publishDate 2006-02-01
description To formulate the fundamental formula of physical geodesy at the physical surface of the Earth, the gravity anomalies are used instead of the gravity disturbances, because the geodetic heights above the geocentric reference ellipsoid are not usually available. The relation between the gravity anomaly and the gravity disturbance is defined as a product of the normal gravity gradient referred to the telluroid and the height anomaly according to Molodensky's theory of the normal heights (Molodensky, 1945; Molodensky et al., 1960). Considering the normal gravity gradient referred to the surface of the geocentric reference ellipsoid, this relation is redefined as a function of the normal height (VaníÄek et al., 1999). When the orthometric heights are practically used for the realization of the vertical datum, the geoid-quasigeoid correction is applied to the fundamental formula of physical geodesy to determine the precise geoid. Theoretical formulation of the geoid-quasigeoid correction to the fundamental formula of physical geodesy can be found in Martinec (1993) and VaníÄek et al. (1999). In this paper, the numerical investigation of this correction at the territory of Canada is shown and the error analysis is introduced.
topic Geoid-Quasigeoid Correction
gravity
height.
url http://www.seer.ufu.br/index.php/revistabrasileiracartografia/article/view/43488
work_keys_str_mv AT roberttenzer geoidquasigeoidcorrectioninformulationofthefundamentalformulaofphysicalgeodesy
AT petrvanicek geoidquasigeoidcorrectioninformulationofthefundamentalformulaofphysicalgeodesy
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