I have heard the term "go to sleep" used a lot in this shooting area.
While I wasn't sure what exactly it meant I did witness it and now understand what it means.
My big gun shoots 3/4 groups (10 round groups) at 100 yards.
At 400 yards it shoots 1.7 in groups. Now mathematically .75 at 100 yards it's 1.5 at 200,
2.25@300,
3@400 yards (angular measurement i.e. mil or moa). The bullet has gone to sleep somewhere from 100 yards to 400 yards and thus the mathematical theory disproves itself (concerning the group size) therefore suggesting the "bullet has gone to sleep" otherwise group size should follow mathematical size.
The mathematical measurement of angular difference over a known distance is always exact i.e. 1 moa is 1.047 @ 100 yards, conversely 1 moa @ 1000 yards is 10.47, however for example only, if your gun shoots 1 inch groups at 100 yards it may shoot 4 to 6 inch groups at 1000 yards.
This contradicts the mathematical absolutes and only one answer is obtainable; the bullet has stabilized somewhere throughout the range. Since the bullet is the only variable in this equation it must be the bullet. After leaving the muzzle (other than weather conditions) stabilization dynamics are the only true variable to which mathematical equations obtain stabilization characteristics, BC and all the other "known's" also enter into an equation for trajectory (this does not suggest accuracy only flight path). Stabilization happens at a certain velocity and spin rate, while the velocity decrease over time and distance spin rate decreases much slower even so slow that it really doesn't matter and can hardly be measured for accuracy estimates. It does seem though that stabilization and trajectory share some common ground but at what point in the bullets path do they connect must only be witnessed in the field where math and reality conflict each other as true data is gathered in real time and not theorized.
What this is all saying in laymen's terms is, once the bullet "falls asleep" you can count on it being more accurate than in its state before stabilization.