Explicit formula for the geoid-quasigeoid separation |
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Authors: | R Tenzer P Novák P Moore M Kuhn P Vaní?ek |
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Institution: | (1) School of Civil Engineering and Geosciences, Newcastle University, Newcastle upon Tyne, UK, NE1 7RU;(2) Research Institute of Geodesy, Ondřejov, 244, 251 65, Czech Republic;(3) Western Australian Centre for Geodesy, Curtin University of Technology, GPO Box U1987, Perth, WA 6845, Australia;(4) Department of Geodesy and Geomatics Engineering, University of New Brunswick, P.O. Box 4400, Fredericton, New Brunswick, E3B 5A3, Canada;(5) Present address: Physical and Space Geodesy, Faculty of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, P.O. Box 5058, 2600 GB Delft, The Netherlands |
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Abstract: | The explicit formula for the geoid-to-quasigeoid correction is derived in this paper. On comparing the geoidal height and
height anomaly, this correction is found to be a function of the mean value of gravity disturbance along the plumbline within
the topography. To evaluate the mean gravity disturbance, the gravity field of the Earth is decomposed into components generated
by masses within the geoid, topography and atmosphere. Newton’s integration is then used for the computation of topography-and
atmosphere-generated components of the mean gravity, while the combined solution for the downward continuation of gravity
anomalies and Stokes’ boundary-value problem is utilized in computing the component of mean gravity disturbance generated
by mass irregularities within the geoid. On application of this explicit formulism a theoretical accuracy of a few millimetres
can be achieved in evaluation of the geoid-to-quasigeoid correction. However, the real accuracy could be lower due to deficiencies
within the numerical methods and to errors within the input data (digital terrain and density models and gravity observations). |
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Keywords: | geoid height mean gravity telluroid |
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