Geomagnetism and Schmidt quasi-normalization

Geophysical Journal International

Volumn 160, Issue 2, 2005, Pages 487-504

  Winch, D E ^a   Ivers, D J ^a   Turner, J P R ^a   Stening, R J ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Geomagnetic potential; Normalization; Spherical harmonics; Vector spherical harmonics

Indexed keywords

GEOMAGNETIC FIELD; SECULAR VARIATION; SPHERICAL HARMONICS;

EID: 15044355860     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2004.02472.x     Document Type: Article

References (16)

1. Blatt, J.M. & Weisskopf, V.F., 1952. Theoretical nuclear physics, Appendix B Springer-Verlag, New York.
2. Condon, E.U. & Shortley, G.H., 1967. The theory of atomic spectra, Cambridge University Press, Cambridge.
3. Ferrers, N.M., 1877. An elementary treatise on spherical harmonics and subjects connected with them, Macmillan and Co., London, p. 76.
4. Goldie, A.H.R. & Joyce, J.W., eds, 1940. Proceedings of the 1939 Washington Assembly of the Association of Terrestrial Magnetism and Electricity of the International Union of Geodesy and Geophysics, International Union of Geodesy and Geophysics (IUGG), Neill & Co., Edinburgh, Bulletin 11, Part 6, 550.
5. James, R.W., 1976. New tensor spherical harmonics, Phil. Trans. R. Soc. Lond., A., 281, 195-221.
6. Langel, R.A. & Estes, R.H., 1987. Derivation of proposed International Geomagnetic Reference Field models for 1945, 1950, 1955 and 1960, Phys. Earth planet. Int., 48, 293-305.
7. Lowes, F.J., 1966. Mean-square values on sphere of spherical harmonic vector fields, J. geophys. Res., 71, 2179.
8. Lowes, F.J. & Olsen, N., 2004. A more realistic estimate of the variances and systematic errors in spherical harmonic geomagnetic field models, Geophys. J. Int., 157, 1027-1044 (doi:10.1111/ j.1365-246X.2004.02256.x).
9. Price, A.T. & Chapman, S., 1928. On line-integrals of the diurnal magnetic variations, Proc. R. Soc. Lond., A., 119, 182-196.
10. Schmidt, A., 1898. Der magnetische Zustand der Erde zur Epoche 1885.0, Archiv der deutschen Seewarte, XXI(2), 21-75.
11. Schmidt, A., 1899. Formeln zur Transformation der Kugelfunktionen bei linearer Anderung des Koordinatensystems. Zeitschrift für Mathematik und Physik, 44, 327-335.
12. Schmidt, A., 1917. Erdmagnetismus, Enzykl. Math. Wiss., 6, 265-396.
13. Schmidt, A., 1939. Zur Frage der hypothetischen die Erdoberfläche durchdringenden elektrischen Ströme, Gerlands Beiträge zur Geophysik, 55, 292-302.
14. Tinsley, B.A., 2000. Influence of solar winds on the global electric circuit, and inferred effects on cloud microphysics, temperature, and dynamics in the troposphere, Space Sci. Rev., 94, 231-258.
15. Winch, D.E., 1968. Analysis of the geomagnetic field by means of Cartesian components, Phys. Earth planet. Int., 1, 347-360.
16. Yoshida H., 2001. Aikitu Tanakadate and the controversy over vertical electrical currents in geomagnetic research, Earth Science History 20, 156-177.