Abstract
A method is developed for expanding a set of observations of the horizontal vector of the earth's magnetic field in a set of orthogonal polynomials, each of which is curl free. The final result is a pair of simple polynomials, one each for X and Y, such that the radial component of the curl of the predicted geomagnetic field vanishes identically. The method is applied to a sample of data consisting of observations of the magnetic field at 69 locations above Eglin Air Force Base in Florida. The results are given in the form of polynomial coefficients for X and Y and contour charts prepared from them.
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