Wow, @vt1 . Thanks for doing those calculations. Just to be clear, you use the estimated speed of the bullet to determine the angle of the sonic cone. From what I’ve read, the internal angle of this cone decreases as the bullet’s speed increases past Mach 1.
Let me make sure I understand all the variables in Eq. 12
b = distance from shooter to the closest point of approach to the audio recorder
Vm = muzzle velocity
h = distance from the recorder to the bullet’s path of travel
Vc = speed of sound