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Spatially Restricted Integrals in Gradiometric Boundary Value Problems
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geoinformatik och Geodesi. (Geodesy)
2010 (English)In: Artificial Satellites, ISSN 2083-6104, Vol. 44, no 4, 131-148 p.Article in journal (Refereed) Published
Abstract [en]

The spherical Slepian functions can be used to localize the solutions of the gradiometric boundary value problems on a sphere. These functions involve spatially restricted integral products of scalar, vector and tensor spherical harmonics. This paper formulates these integrals in terms of combinations of the Gaunt coefficients and integrals of associated Legendre functions. The presented formulas for these integrals are useful in recovering the Earth's gravity field locally from the satellite gravity gradiometry data.

Place, publisher, year, edition, pages
Poland: Versita , 2010. Vol. 44, no 4, 131-148 p.
Keyword [en]
Clebsch-Gordan's coefficients, Gaunt's coefficients, harmonic analysis, associated Legendre's function, satellite gravity gradiometry, Slepian's function
National Category
Geophysics
Identifiers
URN: urn:nbn:se:kth:diva-61405DOI: 10.2478/v10018-009-0025-4Scopus ID: 2-s2.0-77951758145OAI: oai:DiVA.org:kth-61405DiVA: diva2:479036
Note
QC 20120130Available from: 2012-01-17 Created: 2012-01-17 Last updated: 2012-01-30Bibliographically approved

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Publisher's full textScopushttp://versita.metapress.com/content/6r24tv3496805l22/?p=368e611edc4349499e2c9a7077991c0f&pi=1

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