Analogue model, relating Kp index to solar wind parameters

Physics

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Solar Wind Parameters, Kp Index, Geomagnetic Activity, Analogue Model, Delayed Function Of Bz

Scientific paper

In a previous work the authors have developed a model, providing Kp as a function of the interplanetary magnetic field Bz component. They introduced a modified Bz function (denoted as Bzm), exhibiting a delayed reaction to Bz changes. The modified function Bzm was defined by using the analogy with a damping RC-circuit output voltage. The delaying reaction of Bzm to Bz was characterized by two time constants, one for rising and one for decreasing parts of Bz. The cross-correlation between Kp and Bzm has increased to 0.7, compared with -0.4 between Kp and Bz. In this paper, new dependences of Kp on solar wind velocity and dynamic pressure are included in the model to improve its accuracy. These solar wind parameters are found to correlate best with Kp. The hourly interpolated values are also added to the 3-h Kp values to increase the statistics. The new Kp data set is denoted as Kp1. The mean dependence of Kp on Bzm and dynamic pressure are approximated with parabolas, while the dependence on the velocity is linear. The constants in the model expression are obtained by using ACE data (1998-2000). The overall model error is estimated at 0.63 units Kp. The improvement over the previous simpler dependence in terms of the model error is about 30%.

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