Geomagnetic field models incorporating frozen-flux constraints

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Earth Core, Earth Mantle, Geomagnetism, Spherical Harmonics, Tesseral Harmonics, Earth Crust, Mathematical Models, Parameterization

Scientific paper

An algorithm is developed for constructing plausible field models satisfying the frozen-flux hypothesis of Roberts and Scott (1965), which supposes that, for short time intervals, diffusion can be neglected. The algorithm is based on a new parameterization of the field in terms of its radial component B(r) at the core-mantle boundary (CMB). The model consists of values of B(r) at a finite set of points on the CMB, together with a rule for interpolating the values to other points. The parameterization of the B(r) is used to construct field models satisfying the frozen-flux hypothesis for the epochs 1945.5 and 1980.

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