@offtheback, I’ve spent a couple hours looking into your results and comparing them to mine, and I find myself with more questions than answers. I cannot deny the boom times that you report. When I listen to the Stewert audio using my good Bose headphones, I can hear bass thumps at the times you specify in your table. (Original, unfiltered audio at 1/10th speed.)
However, I can’t find a mathematical basis that aligns with your numbers. For example, this graphic lays out the ballistic geometry for shot 1:
The direct distance from the shooter to DJStew is 132 ft, so the boom time is 115 ms.
We know the average velocity of shot 1 is 2693 fps based on the snick-boom time recorded by the podium mic, so I think it’s fair to estimate that the average velocity to point B is 2900 fps. Given that, it would take the bullet 43 ms to reach point B. Then it would take approximately 38 ms for the shockwave to reach DJStew. With these numbers, the snick-boom time should be 115-43-38 = 34 ms, which is significantly higher than the 28 ms that you got with your audio analysis. Granted, it’s not a huge difference, but why is there a difference? Perhaps I’ve got Stewert off-position by several feet, but I thought the video evidence had his position pretty well set.
Next, using the actual formula I’ve implemented in my model:
snick_boom_diff = sqrt(b^2+h^2)/Vc - b/Vb - h * sqrt(Vb^2-Vc^2)/(Vc*Vb)
I get 37 ms for the answer vs. the 34 ms rough estimate that I illustrated on the graphic. So, even further away from your observation of 28 ms.
If I position DJStew 6 m to the East and 2 m to the South of where I have his current position for shot 1, then I’m able to match the 28 ms result that you observed. But I’ll be very surprised if we discover that the position estimate I made from the video evidence was that far off. I guess we’ll just have to see what others come up with in their research.
@offtheback, would you please do this same audio analysis for shot 10 on the podium microphone? I believe that the boom waveform for this was overehwhemed by the snick, so I’d be interested to see if you can uncover it. (I’m estimating 13 ms for the snick-boom time on that one.)














