N/A Slug / Pellet Concentricity

You won’t find anyone publishing their factory tolerances for runout.

Runout definitely has consequences for accuracy.

Assuming you have a perfect projectile and perfect bore, AND a perfect loading process such that the projectile is loaded perfectly concentric with the bore, then accuracy would be at its peak.

None of that is reality. Each complication compounds with the others. Bores are not straight nor are they constant in diameter. This lets projectiles tilt in the bore as they move. Loading pellets also deforms them to be off center in the bore. Those two plus projectile runout exaggerates the rotation of the project down the bore and along its point of aim. Thus increasing dispersion.

Increasing velocity also exacerbates those as bullet RPM increases, its rotation about its off center “axis” will cause it to spiral around its point of aim.

Chokes help as much as they hurt. They squeeze the project down around its current attitude in the bore, but if that attitude is not concentric, then it’s not really helping at best and hurting at worst.

The Hornady Podcast has some amazing episodes about internal ballistics with Jeff Seiwert, he’s a leading industry guy with decades of experience developing and consulting on the accuracy of small cal up to large cal (155mm+) systems.
 
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I cannot recall where I’ve seen it but there is a video out in the “Inter Webs” showing a devise that someone cobbled together. It has two rollers side by side and a pellet would sit on top between the rollers. As the rollers turned they would spin the pellet and you could inspect the pellet for run-out.
Kenny

A bit late seeing this but the doodad you are thinking of is the "Joker Vario" by Lottes Sport+Technik based in Germany. They are a wonderful bit of kit. Uesd to have a concentricity dial gauge linked up to it but the newer iteration links with a digital microscope instead. Not something you would want to run every pellet through but once you have sorted for head size and weight, it is worth using as a final check on the pellets that are your choice for competition. Amazed, given the badwidth given to head size and weight, that there is not more conversation about the symetry of a pellet.