Current loop models of the earth's magnetic field

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Dynamo Theory, Earth Core, Electric Current, Geomagnetism, Magnetic Variations, Mathematical Models, Least Squares Method, Magnetic Dipoles, Magnetic Moments, Secular Variations, Spherical Harmonics

Scientific paper

The paper discusses the derivation of 11 new models of the earth's magnetic field that are based on multiple current loops. The models represent the earth's magnetic field in 1975. Seven of the models consist of one to seven current loops constrained to lie on the surface of the earth's core. The other four models consist of one to four current loops not constrained in any way. Numerical approximation of the Biot-Savart formula is used to evaluate the magnetic field of current loops. Of the 11 models derived, only the one consisting of two unconstrained current loops is significantly more efficient than spherical harmonic analysis of comparable order at representing the static field. The possibility still exists that time variations of current loops can yield significantly more accurate representations of secular variation and hence improved short-term predictions of the field.

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