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Comparison of some methods for modifying stokes' formula in the GOCE ERA
KTH, Superseded Departments, Infrastructure.
KTH, Superseded Departments, Infrastructure.
2004 (English)Conference paper (Refereed)
Abstract [en]

The dedicated satellite gravity mission GOCE will drastically improve our knowledge of the long to medium wavelengths of the Earth's gravity field. In order to determine the finest details in regional geoid determination, however, we still have to utilise gravity data. It is the purpose of this paper to study three modifications of Stokes' formula numerically, using error propagations with simulated standard errors for the GOCE potential coefficients. The methods tested are the standard remove-compute-restore, the least squares, and the low-degree GOCE-only modifications. In the latter technique it is required that only GOCE information must influence the determination of the lowest degrees. It is concluded that of the modifications tested, the least squares method is most suitable to be used with a GOCE satellite-only model. This is the case also when pessimistic weights are used for the gravity anomalies. The main fault with the standard remove-compute-restore method is its sensitivity to long-wavelength errors in the gravity anomalies, while a very large truncation error is the most serious problem for the low-degree GOCE-only technique.

Place, publisher, year, edition, pages
2004. no 569, 225-230 p.
, European Space Agency, (Special Publication) ESA SP, ISSN 0379-6566
Keyword [en]
Error analysis, Gravitation, Harmonic analysis, Magnetometers, Mathematical models, Spectrum analysis, Earth Gravity Model (EGM), Error propagation, Satellite Gravity Gradiometry (SGG), Stokes' formula, Satellites
National Category
Earth and Related Environmental Sciences
URN: urn:nbn:se:kth:diva-157292ScopusID: 2-s2.0-22144493013OAI: diva2:771194
Second International GOCE User Workshop: GOCE, The Geoid and Oceanography, 8 March 2004 through 10 March 2004, Frascati, Italy

QC 20141212

Available from: 2014-12-12 Created: 2014-12-08 Last updated: 2014-12-12Bibliographically approved

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Ågren, Jonas
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