I am not addressing what physics are involved or the convergence rate of the barrels. Just "If the barrel centerlines are .85" apart and POIs converge at 40 yards, then halfway (20 yards) the POIs will be .425" apart. At 60 yeards they will also be .425" apart." I believe that is a fact of geometry.
I repeat, .425" at 20 yards and 60 yards is closer than I can hold the gun to or even see.
Mike;
I will say this as nice as I know how, but the situation you describe simply does not exist. If you insist on ignoring the dynamics then it becomes necessary to extend your lines rearward for the length of the bbl. Assume 30" bbls then it would be found the bores there would be seperated by only .868". With chamber dia's of .813 at rear this would only leave a web of .055" between the tubes. Two shells I picked up at random 1-AA & 1-RXP both had rims which mic'd to .880" thus two shells could not even be chambered side by side as they would overlap.
Fact Is; The bbls do converge from breech to muzzle. L C Smith specs as I pointed out said .011" per inch. Some Lefevers I carefully measured had virtually identical convergence. They do so at a constant rate for their entire length, they do not converge quicker near the breech & then "Bend" back to near parallel as they approaxch the muzzle. Using that .011" figure with an .850" muzzle spacing would give a breech spacing of 1.180". This is certainly a realistic figure.
To extend those lines from a static position & using the .850" muzzle seperation then the two charges would hit together at 6' 5¼" & at 40 yds would hit 15" apart, opposite of which bbl they were fired from.
This is Not the Situation which Actually Exists Assume the sight line bisects the angle between the two bbls & is on target when the trigger is pulled (for the right bbl). By the time the shot has reached the muzzle the bbls will have moved slightly Back, Up, & to the Right. Again on the assumption the guns regulation hits POA at 40 yds the bore axis will be pointed at the center of the 40 yd target, but the sight line will point some 7½" to the right of it.
The muzzles will of course still be .850" apart, but the axis of the left bbl will be pointing some 15" to the right of the target. That .425" at 20 yds just completely vanished from the picture.
It does not take a great deal of movement to bring about this "New" alignment, but it dafinitely cannot be stated that it will be at exactly half the muzzle spacing when the shot leaves the bbls.