Joe,
I am late reading this but I like how you associated this to a similar analysis in sports.
This remined me of a somewhat similar thing I saw awhile back related to skeet shooting.
The reference I saw was on page 189 of the book “Mastering Skeet” by King Heiple.
https://www.amazon.com/Mastering-Skeet-Fundamental-Techniques-Championship/dp/0811733610?asin=0811733610&revisionId=&format=4&depth=1
I’m not sure but perhaps folks can still search or scroll to page 189 on Amazon in a preview.
The gist was that when I was looking at an early first shot (somewhat earlier than what is commonly assumed), I recall the angular velocity estimate of the president’s head from the snipers nest was something like 5.4 deg/sec. This book indicated that in skeet, for station one high house, the bird is around 5 deg/sec when it’s at its center shooting position between 60 and 70 feet.
If a clay pigeon has a diameter a little less than a human head, then maybe trying to hit the president's head with a rifle at ~107 feet at ~5.4 deg/sec angular velocity is like trying to hit a clay pigeon with a rifle at ~70 feet center and ~5 deg/sec angular velocity from station one high in skeet. If such a shot was as easy as so many people insist, and no one could miss the President with a close shot like that, maybe more people should be using rifles (rather than shotguns) at the skeet range to show how easy it is to consistently blast a clay pigeon from station one, but their real skill is displayed at the other stations.
I don’t shoot skeet so can’t be sure how difficult it would be to hit a clay pigeon with a rifle but this book’s description of the mechanics of skeet shooting was interesting as I interpret the data relative to the first shot in the assassination.
Brian
I am no kind of expert of shooting with any weapon, be it rifle or shotgun, but hitting a moving target with a shotgun must be much easier than using a rifle. The shotgun pellets spread a fair amount, I understand, so there is a good deal more for margin of error with a shotgun than a rifle.
Your information is still useful. Moving from a target moving at 3.2 degrees per second to 5.4 degrees per second, to get hits at the higher angular velocity target, one must:
1. Use a shotgun, which gives on a much greater margin of error, due to the spread of the shotgun pellets -
Makes the shot easier2. Reduce the range from 330 feet to 60 or 70 feet -
Makes the shot easier3. Use as a target something that is a lot smaller than an outline of a Running Deer. The best shooters generally scored two or three points, so they were often able to hit a target a good deal smaller than a deer. Still, overall, the size of the target was, I would guess, larger than a clay pigeon -
Makes the shot harderI don't know but factors 1 and 3 probably about cancel each other out. All in all, it appears one must give the shooter who can hit a target moving at 3.2 degrees per second a significant edge to allow them to still hit a target at 5.4 degrees per second.
So, as an aside, I think they use shotguns instead of rifles, to allow a reasonable chance of hitting a clay pigeon, or a real bird. Also, using rifles would endanger people, animals and property two or more miles down range while shotgun pellets would fall out of the sky much sooner.
Using the information I found on Running Deer shooting, and the information you found on skeet shooting, leads me to conclude:
1. A target moving at 3.2 degrees per second provides a very difficult target, requiring a world class shooter, at least by 1908 standards (and likely 2022 standards) to have a good chance of hitting such a target.
2. A target moving at 5.4 degrees per second is even much more challenging. Almost doubling the angular velocity requires making the target about five times closer.
All in all, it's not surprising that Oswald could miss the limousine, at z153, with a target moving at a higher angular velocity than Olympic athletes had to hit in 1908.
In addition:
The grassy knoll shots would have been fired from a range of 100 or so feet, with an angular velocity greater than that of skeet shooting. Not vastly different than a clay pigeon shot. So still probably quite doable with a shotgun, but pretty chancy for most rifle shooters. Michael Yardley, a British world class skeet shooter (and a JFK CTer) who reenacted rifle shots for the Discovery Channel stated that he believed he could successfully recreate a Grassy Knoll shot. He asked the Discovery Channel if he could attempt this but they only had time to test the Oswald shots. I accept Michael Yardley's opinion that the Grassy Knoll shot could be made by a world class expert. Still, the shooter was really making it tough for himself to attempt such a difficult shot. And making it much more likely he would be clearly photographed and caught if he fired from there, as opposed from a darkened window. Making the scenario that there really was a Grassy Knoll shooter pretty implausible, to me.