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Goldstein 1984
Goldstein, J.D. (1984). The effect of coordinate system rotations on spherical harmonic expansions: A numerical method. Journal of Geophysical Research 89: doi: 10.1029/JB089iB06p04413. issn: 0148-0227.

A numerical method is presented for effecting the transformation of a spherical harmonic expansion under an arbitrary rotation of the coordinate system. Included are results of numerical tests with expansions to degree and order 180. These results demonstrate the high accuracy of the algorithm.

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Abstract

Journal
Journal of Geophysical Research
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American Geophysical Union
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