Spherical Harmonic Analyses for the Spheroidal Earth.

Anne B. Kahle, J. W. Kern, Ernest H. Vestine

ResearchPublished 1964

The assumption that the earth is a true sphere leads to errors in the coefficients derived from most spherical harmonic analyses of the surface geomagnetic field. Presented in this memorandum are two methods for correcting the coefficients. The corrections are shown to be significant.

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Kahle, Anne B., J. W. Kern, and Ernest H. Vestine, Spherical Harmonic Analyses for the Spheroidal Earth. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM4360.html.
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