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On the topographic bias in geoid determination by the external gravity field
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics, Geodesy.
2009 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 83, no 10, 967-972 p.Article in journal (Refereed) Published
Abstract [en]

The topographic bias is defined as the error/bias committed by continuing the external gravity field inside the topographic masses by a harmonic function. We study the topographic bias given by a digital terrain model defined by a spherical template, and we show that the topographic bias is given only by the potential of an inner-zone cap, and it equals the bias of the Bouguer shell, independent of the size of the cap. Then we study the effect on the real Earth by decomposing its topography into a template, and we show also in this case that the topographic bias is that of the Bouguer shell, independent of the shape of the terrain. Finally, we show that the topographic potential of the terrain at the geoid can be determined to any precision by a Taylor expansion outside the Earth's surface. The last statement is demonstrated by a Taylor expansion to fourth order.

Place, publisher, year, edition, pages
2009. Vol. 83, no 10, 967-972 p.
Keyword [en]
Analytical continuation, Topographic effect, Topographic bias
Identifiers
URN: urn:nbn:se:kth:diva-18796DOI: 10.1007/s00190-009-0314-5ISI: 000270178600007Scopus ID: 2-s2.0-70349583670OAI: oai:DiVA.org:kth-18796DiVA: diva2:336843
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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  • Other locale
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