Thought I would add a few thoughts to the thread. WW2 aircraft crews used both converged or staggered "box pattern" settings demonstrating it's not quite as cut and dry. Qualitatively single point convergence will give you more concentration of fire while a staggered setting will cover more area. Here is a snippet from a gun harmonization chart for the P-51B:
Yes, I used 6 guns vs. 4 (I did this a long time ago for the 412th to think about the P-51D) but the graphic is enough to demonstrate the point. As can be seen single point convergence is concentrated fire (~ 3 ft^2) where spread convergence covers more area. Of course just how much difference does the spread make vs. not? It's hard to see on this diagram though you can see the spread marked off at 5ft increments from the centerline to try and gauge it. I don't have time to blow the picture up so we'll just use a pic from Andy Bush at SimHQ to zoom in a bit:
This is a gun chart showing convergence for guns at 250 and 350 yards. Notice if the guns are staggered as such there's a diamond hence the "box pattern" between 250 and 350 yards. Using this staggered convergence the bullets are anywhere between 0ft to ~4ft from the centerline (0ft ~8ft spread) between 200 to 350 yards. 0 to 4ft sure sounds like a small number to be fussing about with all this staggered convergence stuff especially for fighters with wingspans around 30 ft. This is true of course but only if we're shooting lasers and at targets that aren't trying to maneuver out of the way
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Consider a bogey you're trying to gun down who's traveling at a moderate 225 mph. That plane is moving at 330 ft/s, or 33 ft every 1/10th of a sec! The M2 Browning .50 fires at ~800 rounds/min, ~13 rounds/s, ~1.3 rounds per 1/10th of a sec. Muzzle velocity is 2700 ft/s or 270 ft every 1/10th of sec not factoring drag at all of course which would make a difference as well. At 300 yards (900 ft) it would take the bullet 3/10th of a second to get to the plane and by then the plane could be 99 ft away from where the bullet was going. Of course in 1 sec the airplane could be 330 ft away from where the bullet would be. Of course the higher the forward or angular (turning) velocity, the greater the change in position. So we can see some of the logic for why staggering gun convergence would make sense to spread the bullets out in area more in order to increase the odds of hitting another moving plane.
Hopefully this gives some insight as to why aircrews chose to use different convergence settings and it appears just like we do in AH it's a matter of preference. Conceptually trying to land hits at higher speeds and faster maneuvers you might want to spread your gun convergence, but of course you loose the impact of the lethality of a more concentrated burst.
Besides horizontal convergence, people should also remember there's also a vertical component to convergence as well. For grins, here's the full P-51B gun harmonization chart:
Hope that adds to the discussion!
Tango
412th FS Braunco Mustangs