Magnetospheric modulation of geomagnetic activity. I - Harmonic analysis of quasi-logarithmic indices Km, Kn, and Ks

Mathematics – Logic

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Annual Variations, Earth Magnetosphere, Geomagnetism, Harmonic Analysis, Indexes (Ratios), Modulation, Universal Time, Diurnal Variations, Logarithms, Magnetic Dipoles, Magnetic Effects, Northern Hemisphere, Solar Wind, Solstices, Southern Hemisphere

Scientific paper

Harmonic analysis of a 14-year series of geomagnetic planetary indices Km yields diurnal and semi-diurnal UT waves with an annual amplitude modulation agreeing with the concept of a magnetospheric modulation governed by the square-sine of the angle between the solar wind direction and the dipole axis of the earth. A corresponding analysis of the hemispheric indices Kn and Ks shows an additional north-south asymmetry in the seasonal variation of the diurnal wave amplitude which can be accounted for in the theory by adding a constant angle of 11 deg (positive for the northern hemisphere and negative for the southern) to the solar wind angle. The modified modulation function also requires the existence of an annual wave in geomagnetic activity in either hemisphere. Such a persistent 12-month wave has clearly been detected by means of hemispheric daily character figures C9n and C9s. Its amplitude is almost twice as large as that of the well-known 6-month wave; the phase is opposite in both hemispheres corresponding to a maximum near the respective meteorological summer solstice. All amplitude ratios and phases again agree with expectations arising from the modified theory of magnetospheric modulation.

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