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Sensitivity of selected geomagnetic properties to truncation level of spherical harmonic expansions

December 31, 1982

A two day selection of MAGSAT data is fit by spherical harmonic series truncated at increasing levels NF in the range 2F<14 to determine the extent to which the geomagnetic Gauss coefficients depend upon truncation level of the fit. The dependence is found to be concentrated in the range nF≲n+4 decreasing rapidly in magnitude to a few nanotesla as n increases to about 6.

Several geomagnetic properties are then examined by evaluating them at various truncation levels N with NF fixed and NF. The spectrum of magnetic energy (outside the core and outside the earth) as determined by the NF=23 MAGSAT model MGST 1/81 is evaluated. It suggests that the crustal anomaly contribution to magnetic energy outside the core will not exceed 0.1%, when the expansion is truncated at N=8. The positions of certain contours of the geomagnetic elements on the core-mantle boundary and their intersections needed for magnetic determination of the core motions, are examined and found to be relatively stable when N changes from 7 to 8, but to exhibit greater sensitivity for both larger and smaller values of N.

This article contains supplementary material.

Publication Year 1982
Title Sensitivity of selected geomagnetic properties to truncation level of spherical harmonic expansions
DOI 10.1029/GL009i004p00254
Authors E.R. Benton, Ronald H. Estes, R.A. Langel, L.A. Muth
Publication Type Article
Publication Subtype Journal Article
Series Title Geophysical Research Letters
Index ID 70188735
Record Source USGS Publications Warehouse