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Geomagnetism publications.

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On the interpretation of the geomagnetic energy spectrum On the interpretation of the geomagnetic energy spectrum

Two recent high-degree magnetic energy spectra, based mostly on MAGSAT data, are compared and found to agree very well out to order and degree n = 15, but the spectrum remains somewhat uncertain for higher degrees. The hypothesis that a primary break in the slope of the spectrum, plotted semi-logarithmically, is due to a transition from dominance by core sources to dominance by crustal
Authors
E.R. Benton, L.R. Alldredge

On regional geomagnetic charts On regional geomagnetic charts

When regional geomagnetic charts for areas roughly the size of the United States were compiled by hand, some large local anomalies were displayed in the isomagnetic lines. Since the late nineteen sixties, when the compilation of charts using computers and mathematical models was started, most of the details available in the hand drawn regional charts have been lost. One exception to this...
Authors
L.R. Alldredge

Alternate forms of the associated Legendre functions for use in geomagnetic modeling. Alternate forms of the associated Legendre functions for use in geomagnetic modeling.

An inconvenience attending traditional use of associated Legendre functions in global modeling is that the functions are not separable with respect to the two indices (order and degree). In 1973 Merilees suggested a way to avoid the problem by showing that associated Legendre functions of order m and degree m+k can be expressed in terms of elementary functions as Pmm+k(θ)=sinm(θ)∑ki...
Authors
L.R. Alldredge, E.R. Benton

Fourier power spectra of the geomagnetic field for circular paths on the Earth's surface. Fourier power spectra of the geomagnetic field for circular paths on the Earth's surface.

The Fourier power spectra of geomagnetic component values, synthesized from spherical harmonic models, have been computed for circular paths on the Earth's surface. They are not found to be more useful than is the spectrum of magnetic energy outside the Earth for the purpose of separating core and crustal sources of the geomagnetic field. The Fourier power spectra of N and E geomagnetic...
Authors
L.R. Alldredge, E.R. Benton
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