A direct approach for determining the asymptotic MHD Mach cone is formulated and solved. An implicit analytical solution enables the calculation of the asymptotic downstream slope of MHD Mach cones at any clock angle for arbitrary Ms , Ma , and bv . The solution obtained includes all previously known symmetric cases. The elongation and shift of the asymptotic fast mode shock cross-section are studied for a wide range of upstream plasma parameters as well as its unusual 'chopped' shape under certain conditions. Our results may be useful for planetary shock modeling and MHD numerical codes verification.
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机译：提出并解决了确定渐近MHD马赫锥的直接方法。隐式解析解可以计算任意M s ，M a 和 bv 。获得的解包括所有先前已知的对称情况。研究了渐进快速模式激波横截面的伸长和位移，该激波在较大的上游等离子体参数及其在某些条件下异常的“切碎”形状下得到了研究。我们的结果可能对行星冲击建模和MHD数值验证很有用。
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