Mach Cone Angle and the Cross Section of the Fast MHD Shock far Downstream of the Obstacle

Details Mach Cone Angle and the Cross Section of the Fast MHD Shock far Downstream of the Obstacle Mach Cone Angle and the Cross Section of the Fast MHD Shock far Downstream of the Obstacle

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agusmsh32b..11v&link_type=abstract

American Geophysical Union, Spring Meeting 2002, abstract #SH32B-11

Physics

2780 Solar Wind Interactions With Unmagnetized Bodies, 2784 Solar Wind/Magnetosphere Interactions, 2149 Mhd Waves And Turbulence, 2154 Planetary Bow Shocks

Scientific paper

Usual approach for the determination of the asymptotic Mach cone angle is based on the search of intersection of the velocity sphere with Friedrichs diagram. This approach is equivalent to the solution of a pair of transcendental equations, which in turn can be reduced to a single equation of the fourth power with respect to the tangent of the shock slope. The above procedure does not take into account that the normal to the asymptotic MHD shock has components not only along the upstream flow direction and in the direction perpendicular to the Mach cone axis, but also in the direction perpendicular to these two. The last circumstance leads to the transcendental differential equation for the determination of the asymptotic MHD shock slope as well as its cross section. This new equation is solved analytically. Theoretically correct shape of the asymptotic MHD shock is then compared with that obtained in traditional approach for a set of Alfvenic and sonic Mach numbers, and angles between the plasma flow and magnetic field directions. This work was performed while one of the authors (MV) held a NRC Associateship Award at NASA/GSFC.

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