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Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/3977
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dc.contributor.authorallDe Santis, A.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italiaen
dc.contributor.authorallTorta, J. M.; Observatori de l'Ebre, CSIC, 43520 Roquetes, (Tarragona), Spainen
dc.contributor.authorallFalcone, C.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma1, Roma, Italiaen
dc.date.accessioned2008-07-17T10:33:05Zen
dc.date.available2008-07-17T10:33:05Zen
dc.date.issued1996en
dc.identifier.urihttp://hdl.handle.net/2122/3977en
dc.description.abstractThe transformation of a set of spherical harmonic coefficients characterizing a model of the geomagnetic field, or a general function defined on a sphere, subject to a rotation of the coordinate system, is given by the direct relations between the coefficients and then by using a numerical approach. The parameters for a pair of such rotations (from one set to another, and vice versa) are given, along with a few examples of their application. The method is particularly useful for the comparison of geophysical characteristics derived from models developed under different coordinate systems. It offers a practical solution to the problem, which can be implemented without difficulty.en
dc.language.isoEnglishen
dc.publisher.nameBlackwell Publishingen
dc.relation.ispartofGeophysical Journal Internationalen
dc.relation.ispartofseries/ 126 (1996)en
dc.subjectgeomagnetic fielden
dc.subjectnumerical techniquesen
dc.subjectspherical harmonicsen
dc.titleA simple approach to the transformation of spherical harmonic models under coordinate system rotationen
dc.typearticleen
dc.description.statusPublisheden
dc.type.QualityControlPeer-revieweden
dc.description.pagenumber263-270en
dc.subject.INGV04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional modelsen
dc.subject.INGV04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic fielden
dc.subject.INGV05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneousen
dc.relation.referencesAbramowitz, N. & Stegun. LA., 1972. Handbook of Mathematical Functions, Dover Publ. Inc., New York, NY. Backus, G.E., 1964. Geographical interpretation of measurements of average phase velocities of surface waves over great circular and great semicircular paths, Bull. seism, Soc. Am., 54, 571-610. Banks, R.J., 1972. The overall conductivity distribution of the Earth, J. Geomag. Geoelectr., 24, 337-351. Barraclough, D.R., 1978. Spherical harmonic models of the geomagnetic field, Geomug. Bull. Inst. Geol. Sci., 8, 1-66. Bernard, J., Kosik, J.-C., Laval, G., Pellat, R. & Philippon, J.-P., 1969. Representation optimale du potentiel geomagnetique dans Ie repere d'un dipole decentre, incline, Ann. Geophys., 25, 659-665. Brink, D.M. & Satchler, G.R.. 1962. Angular Momentum, Clarendon Press, Oxford. Campbell, W.H., 1989. The regular geomagnetic-field variations during quiet solar conditions. in Geomagnetism, vol. 3, pp. 385 460, ed. Jacobs, J.A., Academic Press, London. Chapman, S. & Bartels, J., 1940. Geomagnetism, Clarendon Press, Oxford. Courant, R. & Hilbert, D., 1953. Methods of Mathematical Physics, vol. I, J. Wiley & S., New York, NY. De Franceschi, G., Bianchi, C., Gregori, G.P. & Zolesi, B., 1992. The planetary pattern of the ionosphere: 15 coefficients to synthesize the bottom of the F-layer, Ann. Geophys., 10, 407-415. De Santis, A., De Franceschi, G. & Kerridge, D.J., 1994. Regional spherical modelling of 2-d functions: the case of the critical frequency of the F2 ionospheric layer, Comput. & Geosci. 20, 849-871. Doornbos, D.J., 1988. Asphericity and ellipticity corrections, in Seismological Algorithms, pp. 47-85, Academic Press, London. Edmonds, A.R., 1957. Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, NJ. Gubbins, D. & Zhang, K., 1993. Symmetry properties of the dynamo equations for paleomagnetism and geomagnetism, Phys. Earth planet. Inter., 75, 225-241. Haines, G.V. & Torta, J.M., 1994. Determination of equivalent current sources from spherical cap harmonic models of geomagnetic field variations, Geophys. J. Int.. 118, 499-514. Hobbs, B.A. & Dawes, G.J.K., 1980. The effect of a simple model of the Pacific ocean on Sq variations, J. Geomag. Geoelectr., 32, Suppl. I , SI 59-S1 66. James, R.W., 1970. A Taylor series approach to the rotation and evaluation of spherical harmonics, Geophys. J. R. astr. Soc., 19, 203-205. Langel, R.A. & Estes, R.H., 1982. A geomagnetic field spectrum, Geophys. Res. Lett., 9, 250-253. Lowes, F.J., 1966. Mean-square values on sphere of spherical harmonic vector fields, J. geophys. Res,, 71, 2179. Maeda, H., 1953. On the residual part of the geomagnetic Sq-field in the middle and lower latitudes during the International Polar Year, 1932-1933, J. Geomag. Geoelectr., 5, 39-51. Malin, S.R.C. & Gupta, J.C., 1977. The Sq current system during the International Geophysical Year, Geophys. J. R. astr. Soc., 49, 515-529. Malin, S.R.C., Barraclough, D.R. & Hodder, B.M., 1982. A compact algorithm for the formation and solution of normal equations, Commit. & Geosci., 8, No. 3-4, 355-358. Matsushita, S. & Maeda, H., 1965. On the geomagnetic solar quiet daily variation field during I.G.Y., J. geophys. Res., 70, 2535-2558. Mead, G.D., 1970. International Geomagnetic Reference Field 1965 in Dipole coordinates, J. geophys. Res., 75,4372-4374. Minster, J.B., 1976. Transformation of multipolar source fields under a change of reference frame, Geophys. J. R. astr. Soc., 47, 397-409. Mochizuki, E., 1993. Spherical harmonic analysis in terms of line integral, Phys. Earth planet. lnt., 76, 97-101. Phinney, R.A. & Burridge, R., 1973. Representation of the elasticgravitational excitation of spherical earth model by generalized spherical harmonics, Geophys. J. R. astr. Soc., 34, 451-487. Risbo, T., 1996. Fourier transform summation of Legendre series and D-functions, J. Geodes., 70, 383-396. Schmidt, A., 1935. Tafeln der Normierten Kugelfunktionen und ihrer Ableitungen Nebst den Logarithmen dieser Zahlen sowie Formeln zur Entwicklung nuch Kugelfuncktionen, Engelhard-Reyher Verlag, Gotha. Smith, M.L., 1974. The scalar equations of infinitesimal elasticgravitational motion for a rotating, slightly elliptical earth, Geophys. J. R. astr. Soc., 37, 491-526.en
dc.description.journalTypeN/A or not JCRen
dc.description.fulltextreserveden
dc.contributor.authorDe Santis, A.en
dc.contributor.authorTorta, J. M.en
dc.contributor.authorFalcone, C.en
dc.contributor.departmentIstituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italiaen
dc.contributor.departmentObservatori de l'Ebre, CSIC, 43520 Roquetes, (Tarragona), Spainen
dc.contributor.departmentIstituto Nazionale di Geofisica e Vulcanologia, Sezione Roma1, Roma, Italiaen
item.openairetypearticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.grantfulltextrestricted-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
crisitem.author.deptIstituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione Roma2, Roma, Italia-
crisitem.author.deptObservatori de l’Ebre, CSIC - URL, Horta Alta 38, 43520 Roquetes, Spain-
crisitem.author.orcid0000-0002-3941-656X-
crisitem.author.parentorgIstituto Nazionale di Geofisica e Vulcanologia-
crisitem.classification.parent04. Solid Earth-
crisitem.classification.parent04. Solid Earth-
crisitem.classification.parent05. General-
crisitem.department.parentorgIstituto Nazionale di Geofisica e Vulcanologia-
crisitem.department.parentorgIstituto Nazionale di Geofisica e Vulcanologia-
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