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Asymptotic Steady State Solution to a Bow Shock with an Infinite Mach Number
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The problem of a cold gas flowing past a stationary object is considered. It is shown that at large distances from the obstacle the shock front forms a parabolic solid of revolution. The interior of the shock front is obtained by solution of the hydrodynamic equations in parabolic coordinates. The results are verified with a hydrodynamic simulation. The drag force and expected spectra are calculated for such shock, both in case of an optically thin and thick media. Finally, relations to astrophysical bow shocks and other analytic works on oblique shocks are discussed.
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Oblique Shock Breakout from a Uniform Density Medium
An exact analytic solution describes oblique shock breakout from a uniform-density surface, including the ejecta fan geometry and a maximum slant angle beyond which no steady solution exists.
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