Структура и динамика полярных токовых систем : материалы международного симпозиума «Полярные геомагнитные явления», 25-31 мая, Суздаль, СССР / Акад. наук СССР, Кол. фил. им. С. М. Кирова, Поляр. геофиз. ин-т. – Апатиты : [б. и.], 1988. – 150 с.

Fig. 2. Schematic view of the dipole field restricted in a sphere or paraboloid by currents flowing on this surface (Alekseev and Belenkaja,1983). a - meridional crossing of a "spherical magnetosphere"; b - equatorial crossing of "paraboloidal magnetosphere". open lines, ending either at the northern (2a) or at the southern (2b) polar cap. Some kind of magnetopause presence is taken into account in their work. The dipole field is restricted in a sphere or paraboloid by currents flowing on this structure. Alekseev (1984) used an approach where the "outside" magne­ tic field is taken from a very simplified model of solar wind flow around the magnetosphere. In the present study we are exploiting generally the same idea: avoiding the description of the magnetopause structure and the selfconsistency of the outer and the inner (to magnetopause) flows, just to modify the inner field by adding a reasonable correction, related to outside field. DESCRIPTION OF THE MODEL. Our model is based on the following main suppos­ itions : 1. The shape of the magnetopause is supposed to be a rotational parabol­ oid. This choice is determined only by the model of the magnetospheric mag n e ­ tic field. 2. The analitical model of Alekseev and Shabansky (1972) was used as inside (uncorrected) magnetospheric field. In this model the magnetic field in each point of the magnetosphere is given as a sum of three fields: ff = (1 ) B D = - v V is the dipole field, where V = -B0R^ cos У + x sin У) Here R is the distance from the dipole, B Q is the field vector at the geomag­ netic equator, У is the angle between the dipole axis and the Z-axis (Ox is to the Sun, Oz - to the North, Oy - to the right coordinate system). B^ is the field of the magnetic current sheet: Brx= W (arci9 ll + arctl 4 f ~ arct90 ! ~ arct 9 f z f ( 2 ) * x i = x + c > У<= У+ Ь, (3) and Z=Z+Z0,Z0 = Rf sin24'(J + s m 2 4'), r. = V/x f T y f + z f Rj is the distance to the subsolar point, icl,2. I36

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