Modelling of magnetic field near the magnetopause

There are many reliable phenomenological and theoretical methods to model conditions on the outer and inner sides of magnetopause during quiet and disturbed periods. We present here, in this paper, an approximate analytical description of magnetic field distribution between the bow shock and the magnetopause, and on the inner side of the magnetopause. The approach is the following: (i) the field near the Earth's surface is equal to one of an inclined dipole located at the center; (ii) on the magnetopause the normal component of the magnetic field is zero; (iii) on the bow shock the normal component is continuous. The solution, obtained in coordinates of a paraboloid of rotation, is a function of dipole orientation and distance to the bow shock, which is determined by the solar wind parameters. Magnetic fields induced by the ring current are also considered. The intensity of the ring current is determined by a magnetic field jump at the magnetopause.