Thats kinda what I was trying to figure out. I have a pistol load that shoots very well at 10 yards but falls apart at 25 yards. One explanation offered was the bullet was becoming unstable, but I doubt that is the case.
Folks say this kind of thing often, especially said in this manner, but we really have to focus on the reality of our application: plainly, if a bullet is shooting well at 10yrds but not doing well at 25yrds, either the issue is inherent instability, or something else entirely.
Folks want to picture a top on a table, spinning in place, until eventually the spin rate decays sufficiently to no longer stabilize the top, but at the scales we’re considering, that’s NOT what’s happening for a bullet between 10 and 25yrds. If this case IS a spin stability issue, then the bullet is not ever being stabilized and the difference between 10 and 25 is simply the amount of time the unstable bullet has had to fling itself out of path. Yaw induced instability doesn’t immediately slide bullets around a target, but rather takes time to plane and gyro, and further promote greater yaw. In a manner of speaking, an unstable bullet will “spin its wheels and eventually gain traction,” meaning it will fly into a relatively small group at close range because the initial inertia propelling it on course at first has not yet been overcome by the destabilizing yaw influence - but once that nose starts grabbing sufficient air to deflect the mass of the bullet, it’ll move dramatically off of course.
Naturally also, hole shape in the paper is a dead give-away.
So yes, the answer - or understanding that an answer exists - to the question of whether a formula exists for spin rate decay, is yes. But that isn’t the appropriate question to ask why your groups open so much at 25yrds - as spin rate decay and sudden destabilization is not the answer to that problem.