Planetary bow shocks: Asymptotic MHD Mach cones
Earth, Planets and Space volume 55, pages 33–38 (2003)
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 M s , M a , and ϑ 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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Verigin, M., Slavin, J., Szabo, A. et al. Planetary bow shocks: Asymptotic MHD Mach cones. Earth Planet Sp 55, 33–38 (2003). https://doi.org/10.1186/BF03352460