Low mach number predictions in an extended axially symmetric MHD theory of the magnetosheath

Physics

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Magnetospheric Physics: Magnetosheath

Scientific paper

A recent axisymmetric magnetohydrodynamic (MHD) model for the Earth's magnetosheath near the Sun-Earth line, with boundary conditions given by Rankine-Hugoniot (RH) equations at the bow shock and the Chapman-Ferraro (CF) condition at the magnetopause, is extended by including smaller terms in the CF condition that become important at low Mach numbers. Three conclusions are predicted for the magnetosheath. (1) The magnetosheath thickness Δms decreases with decreasing Alfven Mach number MA for MA>M* (in which only the ``gasdynamic'' root of the RH equations for the bow shock boundary is physical), where M*~2 is the root-transition value for the RH equations at which all 3 roots coalesce. When MA1, but increases as MA->1.

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