A simple model for solar wind flow

Mathematics

Scientific paper

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Bow Waves, Magnetic Fields, Magnetopause, Mathematical Models, Solar Wind Velocity, Flow Velocity, Hypersonic Flow, Shock Waves

Scientific paper

A simple analytic method based on the constant-density approximation for hypersonic flow was used to calculate the magnetic field between the earth's bow shock and the magnetopause. The method has the advantage of illustrating a number of points that a numerical solution masks. In particular, for an infinitely-conducting fluid, the magnetic field becomes infinite on the magnetopause. Denoting the angle between the magnetic and velocity field ahead of the shock by alpha, the magnetic field for alpha = 0 (aligned flow) is not represented near the magnetopause by the limit alpha approaching zero.

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