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The topographic bias in Stokes’ formula vs. the error of analytical continuation by an Earth Gravitational Model- are they the same?
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Satellite Positioning.ORCID iD: 0000-0001-7810-8829
2015 (English)In: Journal of Geodetic Science, ISSN 2081-9919, E-ISSN 2081-9943, Vol. 5, 171-179 p.Article in journal (Refereed) Published
Abstract [en]

Geoid determination below the topographic surface in continental areas using analytical continuation of gravity anomaly and/or an external type of solid spherical harmonics determined by an Earth GravitationalModel (EGM) inevitably leads to a topographic bias, as the true disturbing potential at the geoid is not harmonic in contrast to its estimates. We show that this bias differs for the geoid heights represented by Stokes’ formula, an EGMand for the modified Stokes formula. The differences are due to the fact that the EGM suffers from truncation and divergence errors in addition to the topographic bias in Stokes’ original formula.

Place, publisher, year, edition, pages
Walter de Gruyter, 2015. Vol. 5, 171-179 p.
Keyword [en]
Analytical continuation, Downward continuation, Topographic bias
National Category
Earth and Related Environmental Sciences
Research subject
Geodesy and Geoinformatics
Identifiers
URN: urn:nbn:se:kth:diva-205239DOI: 10.1515/jogs-2015-0017OAI: oai:DiVA.org:kth-205239DiVA: diva2:1088026
Note

Qc 20170419

Available from: 2017-04-11 Created: 2017-04-11 Last updated: 2017-04-19Bibliographically approved

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Publisher's full texthttps://doi.org/10.1515/jogs-2015-0017

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