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On the topographic bias by harmonic continuation of the geopotential for a spherical sea-level approximation
KTH, School of Architecture and the Built Environment (ABE), Real Estate and Construction Management, Surveying – Geodesy, Land Law and Real Estate Planning.ORCID iD: 0000-0001-7810-8829
2024 (English)In: Journal of Geodetic Science, ISSN 2081-9919, E-ISSN 2081-9943, Vol. 14, no 1, article id 20220180Article in journal (Refereed) Published
Abstract [en]

Topography is a problem in geoid determination by the Stokes formula, a high degree Earth Gravitational Model (EGM), or for a combination thereof. Herein, we consider this problem in analytical/harmonic downward continuation of the external potential at point P to a geocentric spherical sea level approximation in geoid determination as well as to a sphere through the footpoint at the topography of the normal through P. Decomposing the topographic bias into a Bouguer shell component and a terrain component, we derive these components. It is shown that there is no terrain bias outside a spherical dome of base radius equal to the height H P of P above the sphere, and the height of the dome is about 0.4 x H P . In the case of dealing with an EGM, utilizing Molodensky truncation coefficients is one way to cope with the bias.

Place, publisher, year, edition, pages
Walter de Gruyter GmbH , 2024. Vol. 14, no 1, article id 20220180
Keywords [en]
analytical continuation, downward continuation, harmonic continuation, (quasi)geoid determination, topographic bias
National Category
Geophysics
Identifiers
URN: urn:nbn:se:kth:diva-357057DOI: 10.1515/jogs-2022-0180ISI: 001359266900001Scopus ID: 2-s2.0-85210182735OAI: oai:DiVA.org:kth-357057DiVA, id: diva2:1918269
Note

QC 20241204

Available from: 2024-12-04 Created: 2024-12-04 Last updated: 2024-12-04Bibliographically approved

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Sjöberg, Lars

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CiteExportLink to record
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