A numerical model of the Sq variation current system

Mathematics

Scientific paper

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Diurnal Variations, Ionospheric Currents, Mathematical Models, Solar Terrestrial Interactions, Geomagnetism, Magnetic Effects, Ring Currents

Scientific paper

A mathematical model of the ionospheric current system of the solar-diurnal Sq variation is presented and the Sq field derived from it is examined. The model is obtained by the approximation of the geomagnetic variation field by the field of the set of ring currents on a spherical surface concentric with the earth's surface and reflected in an ideally conducting sphere, and consists of two current vortices, positioned symmetrically with respect to the equator and having foci on the conditional null meridional at latitudes of + and - 30 deg. The field model is obtained by the integration of the ring current fields and their reflections, and a map of the latitude-longitudinal field distribution is presented. It is pointed out that the calculated field allows the determination of the relationship between the ratio of interior and exterior field strengths and the conducting depth, the limiting value of this ratio for an ionospheric source of global extent, the relative magnitudes of the interior and exterior field components and the effective depth of the conductive mantle with respect to Sq variations.

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