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Least-squares modification of extended Stokes' formula and its second-order radial derivative for validation of satellite gravity gradiometry data
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics, Geodesy.
2010 (English)In: Journal of Geodynamics, ISSN 0264-3707, E-ISSN 1879-1670, Vol. 49, no 2, 92-104 p.Article in journal (Refereed) Published
Abstract [en]

The gravity anomalies at sea level can be used to validate the satellite gravity gradiometry data. Validation of such a data is important prior to downward continuation because of amplification of the data errors through this process. In this paper the second-order radial derivative of the extended Stokes' formula is employed and the emphasis is on least-squares modification of this formula to generate the second-order radial gradient at satellite level. Two methods in this respect are proposed: (a) modifying the second-order radial derivative of extended Stokes' formula directly, and (b) modifying extended Stokes' formula prior to taking the second-order radial derivative. Numerical studies show that the former method works well but the latter is very sensitive to the proper choice of the cap size of integration and degree of modification.

Place, publisher, year, edition, pages
2010. Vol. 49, no 2, 92-104 p.
Keyword [en]
Biased, Unbiased, Optimum estimator, Global root mean square error, Truncation error, Error spectra, Signal spectra
National Category
Earth and Related Environmental Sciences
Identifiers
URN: urn:nbn:se:kth:diva-28696DOI: 10.1016/j.jog.2009.11.003ISI: 000275132100004Scopus ID: 2-s2.0-74149084637OAI: oai:DiVA.org:kth-28696DiVA: diva2:390361
Note
QC 20110121Available from: 2011-01-21 Created: 2011-01-19 Last updated: 2017-12-11Bibliographically approved

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