Magnetohydrodynamics of Earth's bow shock

Computer Science

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Bow Waves, Earth (Planet), Magnetohydrodynamics, Shock Waves, Adiabatic Conditions, Magnetohydrodynamic Flow, Magnetohydrodynamic Waves

Scientific paper

Magnetohydrodynamics (MHD) equations have been applied before to the analysis of the Earth's bow shock, with the distance of the shock wave from the center of the Earth and the magnetopause thickness being determined experimentally. The values of the exponent range from 1.2 to 2. This paper is an analysis of the accuracy of MHD calculations of the adiabatic exponent for the plasma behind the bow shock. MHD equations are solved for a plane shock wave discontinuity and the solutions are compared with experimental data from the GEOS-1 and ISEE-1 and 2 satellites for 1969 and 1977. Functions are given which considerably improve the precision of the determination of the effective adiabatic exponent of the plasma behind the shock wave front. For a quasiperpendicular bow shock and Alfyen Mach numbers of more than 2.5-3.0 (values of 5-6 are the most characteristic), plasma flow behind the front in the quasisteady-state is satisfactorily described by MHD equations with an adiabatic exponent of 5/3, while a value of 1.3 to 1.4 is satisfactory in the region of the overshoot.

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