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Alternative Expressions for Gravity Gradients in Local North-Oriented Frame and Tensor Spherical Harmonics
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics, Geodesy.
2010 (English)In: ACTA GEOPHYS, ISSN 1895-6572, Vol. 58, no 2, 215-243 p.Article in journal (Refereed) Published
Abstract [en]

The traditional expressions for gravity gradients in local north-oriented frame and tensor spherical harmonics have complicated forms involved with first- and second-order derivatives of spherical harmonics and also singular terms. In this paper we present alternative expressions for these quantities, which are simpler and contain no singular terms. The presented formulas are useful for those disciplines of geosciences which are involved with potential theory, tensor spherical harmonics and second-order derivatives of spherical harmonic series in the local northoriented frame. A simple numerical test on the solution of the gradiometric boundary value problems presents the correctness of these new expressions and ability of the solutions to continue the gravity gradients from satellite level down to sea level using spherical harmonics.

Place, publisher, year, edition, pages
2010. Vol. 58, no 2, 215-243 p.
Keyword [en]
gravity gradient, tensor spherical harmonics, gradiometric boundary value
National Category
Geophysics
Identifiers
URN: urn:nbn:se:kth:diva-28391DOI: 10.2478/s11600-009-0048-zISI: 000276109000003Scopus ID: 2-s2.0-77951714436OAI: oai:DiVA.org:kth-28391DiVA: diva2:389323
Note
QC 20110119Available from: 2011-01-19 Created: 2011-01-14 Last updated: 2011-01-19Bibliographically approved

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