Sensitivity of selected geomagnetic properties to truncation level of spherical harmonic expansions
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Abstract
A two day selection of MAGSAT data is fit by spherical harmonic series truncated at increasing levels NF in the range 2<NF<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 n<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 N<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.
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| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Sensitivity of selected geomagnetic properties to truncation level of spherical harmonic expansions |
| Series title | Geophysical Research Letters |
| DOI | 10.1029/GL009i004p00254 |
| Volume | 9 |
| Issue | 4 |
| Year Published | 1982 |
| Language | English |
| Publisher | American Geophysical Union |
| Description | 4 p. |
| First page | 254 |
| Last page | 257 |
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