On the topographic bias and density distribution in modelling the geoid and orthometric heights

On the topographic bias and density distribution in modelling the geoid and orthometric heights AbstractIt is well known that the success in precise determinations of the gravimetric geoid height (N) and the orthometric height (H) rely on the knowledge of the topographic mass distribution. We show that the residual topographic bias due to an imprecise information on the topographic density is practically the same for N and H, but with opposite signs. This result is demonstrated both for the Helmert orthometric height and for a more precise orthometric height derived by analytical continuation of the external geopotential to the geoid. This result leads to the conclusion that precise gravimetric geoid heights cannot be validated by GNSS-levelling geoid heights in mountainous regions for the errors caused by the incorrect modelling of the topographic mass distribution, because this uncertainty is hidden in the difference between the two geoid estimators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Geodetic Science de Gruyter

On the topographic bias and density distribution in modelling the geoid and orthometric heights

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Publisher
De Gruyter Open
Copyright
© by Lars E. Sjöberg
ISSN
2081-9943
eISSN
2081-9943
D.O.I.
10.1515/jogs-2018-0004
Publisher site
See Article on Publisher Site

Abstract

AbstractIt is well known that the success in precise determinations of the gravimetric geoid height (N) and the orthometric height (H) rely on the knowledge of the topographic mass distribution. We show that the residual topographic bias due to an imprecise information on the topographic density is practically the same for N and H, but with opposite signs. This result is demonstrated both for the Helmert orthometric height and for a more precise orthometric height derived by analytical continuation of the external geopotential to the geoid. This result leads to the conclusion that precise gravimetric geoid heights cannot be validated by GNSS-levelling geoid heights in mountainous regions for the errors caused by the incorrect modelling of the topographic mass distribution, because this uncertainty is hidden in the difference between the two geoid estimators.

Journal

Journal of Geodetic Sciencede Gruyter

Published: Mar 2, 2018

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