Transonic is were it goes from supersonic to subsonic which has a tremendous turbulence effect on anything that passes threw it even airplanes!
I have read a lot about the transonic effect on a bullet, I cannot find any scientific articles that support that theory convincingly. I attribute the accuracy variation to subsonic flow properties, bullet design and wind having a great effect on that small slow moving object.
Check out this page.
At subsonic an object effects the air beyond it so when you enter transonic speeds, some of the airflow is supersonic, and some is not. That is why the older aircraft without swept wings suffered the turbulence you speak of at the transonic speeds.
I read in a NASA article, (can't find it now,) where bullets act more like modern swept wing aircraft and the transonic transition has a negligible effect on it.
Has some information in swept wing aircraft.
also read
Area Rule , specifically about the "Sears-Haack body shape," (much like a bullet.)
After I read that NASA article, is when I tried that shot above. here is one of my best groups from that day as I was adjusting my open sights.
Which is a better group than my best group with my 30-06, peep sight at 200 yards.
And better than my best 30-30 group with open sights at 200 yards.
But my average at 200 yards with iron sights is around 6 inches with any of my rifles.
I rarely shoot my 22 less than 125 yards now, only when I am testing for a group or shooting in high winds do I shoot at 100 yards. I routinely shoot my 22 at 150 meters. Much is luck but only because i am using open sights and I can't even see the golf ball, I just know where it is.
YouTube - 22 Rifle 150 Meters
Now either I am the luckiest person in the world, or there are predictable forces at work here.
Having said that... My furthest 22 shot was 300 yards. Because it
was luck I didn't present it in this post. I was just aiming 7 feet high and estimating the slight wind, hoping to hit it.
YouTube - 22 Rifle 300 Yards; Better Quality
I thought I didn't show that one... Oops!