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On the topographic effects by Stokes’ formula
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Geoinformatics.
2014 (English)In: Journal of Geodetic Science, ISSN 2081-9919, E-ISSN 2081-9943, Vol. 4, no 1, 130-135 p.Article in journal (Refereed) Published
Abstract [en]

Traditional gravimetric geoid determination relies on Stokes’ formula with removal and restoration of the topographic effects. It is shown that this solution is in error of the order of the quasigeoid-to-geoid difference, which is mainly due to incomplete downward continuation (dwc) of gravity from the Earth’s surface to the geoid. A slightly improved estimator, based on the surface Bouguer gravity anomaly, is also biased due to the imperfect harmonic dwc the Bouguer anomaly. Only the third estimator,which uses the (harmonic) surface no-topography gravity anomaly, is consistent with the boundary condition and Stokes’ formula, providing a theoretically correct geoid height. The difference between the Bouguer and no-topography gravity anomalies (on the geoid or in space) is the “secondary indirect topographic effect”, which is a necessary correction in removing all topographic signals. 

Place, publisher, year, edition, pages
2014. Vol. 4, no 1, 130-135 p.
Keyword [en]
Bouguer gravity anomaly, geoid, notopography gravity anomaly, secondary indirect topographic effect, topographic correction
National Category
Other Engineering and Technologies not elsewhere specified
URN: urn:nbn:se:kth:diva-166635DOI: 10.2478/jogs-2014-0014OAI: diva2:811662

QC 20150513

Available from: 2015-05-12 Created: 2015-05-12 Last updated: 2015-05-13Bibliographically approved

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Sjöberg, Lars E.
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