Analytical method of characteristics applied to the azimuthally dependent solar wind

Astronomy and Astrophysics – Astronomy

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Hypersonic Shock, Magnetohydrodynamic Flow, Method Of Characteristics, Rotating Plasmas, Shock Wave Propagation, Solar Wind, Azimuth, Coordinate Transformations, Hypergeometric Functions, Polytropic Processes, Shock Discontinuity, Solar Rotation, Solar Wind Velocity

Scientific paper

The application of the analytical method of characteristics to the hypersonic part of a corotating quasi-steady configuration on the ecliptic plane of the azimuthally dependent solar wind is discussed. A QRH approximation has been improved at large heliocentric distances. The approximate equations are made exactly linear by a variable transformation to the characteristics coordinates. The initial value problem of the transformed equations is solved analytically by Riemann's method. Weak shock conditions are shown to be incorporated easily in our method of solution. A typical example is given which shows the appearance of a pair of weak shock waves in the flowfield.

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