- #71
jbriggs444
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In the very first sentence of my post, I wrote:tmbouman said:From what you wrote, it seems that the propagation is only a function of mach angle. I am confused on this point. Why do you not use the cone angle in your math and compute Shock angle as boneh3ad describes in post #26 either via the θ-β-M equation he listed or Taylor-Maccoll equations:
Here I was trying to dodge any argument about mach angle versus shock angle and address only the geometry of a series of spherically propagating signals traveling at one speed from a moving source traveling at twice that speed.jbriggs444 said:Let us treat it as a mathematical problem and assume that the sound of the passing plane travels to the listener at the speed of sound. Meanwhile, the plane is moving at twice the speed of sound.
The post to which I was responding had adopted that simple model and used it to arrive an an erroneous result. The intent was to focus narrowly on a corrected analysis under the simplistic model.
@boneh3ad has doubtless forgotten more about aerodynamics and shocks than I can ever hope to learn.
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