Spherical harmonic analysis of the geomagnetic secular variation - A review of methods

Details Spherical harmonic analysis of the geomagnetic secular variation - A review of methods Spherical harmonic analysis of the geomagnetic secular variation - A review of methods

Sep 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pepi...12..365b&link_type=abstract

Physics of the Earth and Planetary Interiors, vol. 12, no. 4, Sept. 1976, p. 365-382.

Physics

5

Geomagnetism, Harmonic Analysis, Mathematical Models, Secular Variations, Spherical Harmonics, Data Reduction, Error Analysis, Iterative Solution, Satellite Observation, Tables (Data)

Scientific paper

The paper reviews 91 published spherical-harmonic models of the geomagnetic secular-variation field and discusses the methods used in their production. The models refer to epochs extending from 1650 to 1975; 48 are based solely or mainly on observatory annual means, 23 are derived from charts of the geomagnetic field and its secular variation, and 15 are based on survey data (five of these are derived entirely from satellite observations). Three procedures for deriving the secular-variation information are described along with eight methods of spherical-harmonic analysis. Some of the more recent models are examined in detail. It is concluded that: (1) the iterative method and the direct version of Gauss' (1839) method extended to incorporate nonlinear elements seem to be of current usefulness, (2) the major problem involved in producing accurate models is the poor distribution of observatory annual means, and (3) the best way of producing accurate models appears to be a combination of some of the methods described

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