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The ellipsoidal corrections to the topographic geoid effects
KTH, Superseded Departments, Infrastructure.
2004 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 77, no 12, 804-808 p.Article in journal (Refereed) Published
Abstract [en]

The topographic effects by Stokes' formula are typically considered for a spherical approximation of sea level. For more precise determination of the geoid, sea level is better approximated by an ellipsoid, which justifies the consideration of the ellipsoidal corrections of topographic effects for improved geoid solutions. The aim of this study is to estimate the ellipsoidal effects of the combined topographic correction (direct plus indirect topographic effects) and the downward continuation effect. It is concluded that the ellipsoidal correction to the combined topographic effect on the geoid height is far less than 1 mm. On the contrary, the ellipsoidal correction to the effect of downward continuation of gravity anomaly to sea level may be significant at the 1-cm level in mountainous regions. Nevertheless, if Stokes' formula is modified and the integration of gravity anomalies is limited to a cap of a few degrees radius around the computation point, nor this effect is likely to be significant.

Place, publisher, year, edition, pages
2004. Vol. 77, no 12, 804-808 p.
Keyword [en]
downward continuation, topographic effects, ellipsoidal effects, downward continuation, stokes-formula, gravity
URN: urn:nbn:se:kth:diva-23482DOI: 10.1007/s00190-004-0377-2ISI: 000221885100002ScopusID: 2-s2.0-3142576820OAI: diva2:342180
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Sjöberg, Lars Erik
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