Brent: I am of the opinion that there are WAY too many variables for "felt recoil" to be quantified.
Interesting thread, with a contribution from Neil Winston and a link to an academic attempt to do so
https://www.trapshooters.com/threads/an-improved-detailed-analysis-of-shotgun-recoil.526009/And this, from
Sporting Guns and Gunpowders: Comprising a Selection from Reports of Experiments, and Other Articles Published in the “Field” Newspaper, Relative to Firearms and Explosives, Volumes 1-2,
1897https://books.google.com/books?id=inQCAAAAYAAJ&pg=PA254It is a fundamental principle that action and re-action are equal and opposite; therefore, at the moment when the shot leaves the muzzle of the gun, the momentum (or weight x velocity) of the shot will be equal to the momentum of the gun. This is strictly true from the time the shot first commences to move until it finally leaves the muzzle, but only up to that instant.
On no subject in connection with gunnery are there more erroneous ideas—superstitions one might almost call them—than on recoil. Many men will tell you that certain guns, with precisely the same ammunition, will give much more recoil than other guns of exactly the same weight. It will generally be found that these men are either novices in the art of shooting, or else they do not hold their guns properly up to the shoulder. Once and for all, it may be laid down that the recoil of guns, rifles, and arms of every description, from the smallest pistol to the heaviest piece of ordnance, proceeds from the same causes and depends upon the same elements.
https://books.google.com/books?id=inQCAAAAYAAJ&pg=PA266“judging of the weight and nature of recoil by the feeling alone one is apt to be misled; for according to the state of bodily health at the time, so will be the sensation produced by a normal recoil…”