Natural orthogonal components of time series of spherical harmonic coefficients

Details Natural orthogonal components of time series of spherical harmonic coefficients Natural orthogonal components of time series of spherical harmonic coefficients

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ge%26ae..28..999g&link_type=abstract

Geomagnetizm i Aeronomiia (ISSN 0016-7940), vol. 28, Nov.-Dec. 1988, p. 999-1002. In Russian.

Computer Science

Geomagnetism, Magnetic Variations, Secular Variations, Spherical Harmonics, Time Series Analysis, Coefficients, Orthogonal Functions, Series Expansion

Scientific paper

The expansion of time series of spherical harmonic coefficients (SHCs) of secular variations of the geomagnetic field in natural orthogonal components (NOCs) is examined. It is shown that, in order to obtain stable EOCs, it is necessary and sufficient to analyze a set of SHCs up to n = 3. Coefficients with n greater than 3 can be obtained as a linear combination of EOCs obtained in that manner.

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