First of all, the numbers I quoted for machine guns were not estimates. They are from what I recall from gun tests in various publications over the years. Perhaps my memory is faulty but I don't believe so.
It would be interesting to see these "tests". There can be a world of difference between the mechanical accuracy of a gun bolted down to a large immovable bench and a gun fired from a service bipod/tripod sitting on the ground. In the first case you are testing the accuracy of the gun and ammunition, in the second case you are testing the ability of the bipod/tripod to support the gun. It may give you the "practical" accuracy of the gun/gun mount in service conditions but tells you very little about the gun in question.
From having fired many 20th century military rifles, 2.5-4 MOA sounds like typical accuracy from a rack grade M1 Garand firing service ammunition (we were shooting LC 67 and LC 68). A typical bolt-action does a bit better at around 2 MOA to 3 MOA with oddballs like the Swedish Mausers doing a LOT better. Some examples do better, some do worse, but this is typical of what I have encountered.
Some rifles do better than average but there was a
minimum acceptable standard that a gun had to pass for acceptance and it was 3-4 minutes of angle in some countries. Again this is with "test" ammo, whatever that was (selected service lots?) . Ammo was often tested in special test guns, Universal receivers with large, heavy barrels.
Think about what you just claimed for your water cooled Browning: perhaps a 1 inch 10 shot group at 27 yards? Would that be around 4 MOA? I am curious as to how these guns were tuned. Perhaps all shots touching is a bigger group than that?
Not one inch but but more like 1 1/4- 1 1/2.
Information is from an article published in the "Infantry Mailing List" of 1937-38 and reprinted in Johnson and Haven's book Automatic arms. Section is 12 pages long and includes diagrams of shot patterns for examples of loose packing gland, proper headspace, headspace 3 notches loose, head space 6 notches loose, Play in elevating mechanism, Play in traverse mechanism, looseness in the cradle, Cycle rate ( each gun needs to fire smoothly, faster or slower is not always better), supporting the trail and riding the gun (unnecessary pressure on the grip). Please note that of the 8 things listed only 3 have to do with the gun itself. The rest have to do with the mount and firer.
Sounds like you have a Palma rifle. They aren't really representative of service guns. Keep in mind that because the .308 cartridge is mandated for competition, folks are playing all kinds of tricks to juice up the MV to keep a HPBT Match bullet above the trans sonic range out to 1000 yards. Your objective is target accuracy. We are discussing aeroplane hitting accuracy and the reason I picked 750 yards is because I believe rifle caliber bullets aren't that different from a medium velocity cannon out that far.
Yes. Yes. Service rifle bullets were somewhat different. a bit more later.
Your 14 MOA correction is interesting but a bit simplistic. The correction isn't a constant MOA. The MOA increases as range increases.
I beleive I covered that with " doubling the range usually increases the wind drift about 3 1/2 times for the same value wind"
In any case, the REAL question is how different a rifle caliber round flies as compared to a 20 mm cannon round, and I do not believe there is a great difference.
Problem here is that there is a lot more variation between the 12.7-13mm bullets and the various 20mm shells than there were between the various rifle rounds. The champs among the high production guns are the US .50 and the Russian 12.7mm, high velocity and well shaped bullets, good enough that they beat any WWII 20mm gun for truly long range fire( over 1000yds). German 13mm and Italian/Japanese/British 12.7mm guns are not only lower velocity they use lighter bullets of poorer sectional density and poorer shape. The 20mm cannon are even worse as far as difference goes. The 20mm Hispano will match the US .50 out to around 600yds pretty well (within a few inches) It's higher sectional density offset by it's much worse shape. The 20mm Hispano is as good as it gets. The rest of the 20mm shells are either as good (roughly) as the Hispano and fired at a
much lower velocity or they are lighter with poorer sectional density and no better shape and still fired at lower velocity (except the Russian 20mm)
Time of flight for German rounds to 300 and 600 meters.
7.92mm AP 10 g............0.453..........1.159
13mm HEI 34 g.............0.49............1.22
15mm HEI 57.5g...........0.357...........0.816
20mm HEI 92g..............0.551..........1.428 (from a MG/FFM)
20mm HET 117g...........0.477...........1.101 (from a MG 151)
30mm HEI 330g............0.696...........1.66 (MK 108 )
From a different source: time of flight to 600 yds for US .50 cal. 0.72 sec and for the 20mm Hispano 0.84 sec. Granted it is a 10% shorter distance.
I believe the discussion was about whether there was an advantage for centerline armament for an expert marksman which presumes he knows how to judge distance and proper lead.
At 300 yds/meters most guns will hit the same ( with a few exceptions) at 600yds/meters the differences are starting to show up a lot more and at longer ranges it gets worse quick. From a German test the 20mm Hispano was still doing 500m/s at 600 meters, the 20mm mine shell from the MG/ffM is doing 281m/s, the 20mm HET from the 20mm MG 151 is doing 422m/s and the 30mm mine shell is doing 254m/s. The Hispano shell is traveling at 600meters as fast as teh 3MK 108 shell was at the muzzle.
The Germans used mixed belts of ammo. They mixed the 92g and 117g shell in the same belt. Now in either the MG/FFM or the MG 151 the muzzle velocities changed for the two shells which means the difference in timing/trajectory isn't quite what the above figures suggest but our intrepid pilot in
either a German or Soviet plane trying to fire at 600 meters
plus had better pick
which gun he is going to try to hit with because different guns in his plane will NOT hit to the same time and place. It the case of the German pilot he may have to decide which
type of ammo he is trying to hit with from his 20mm MG 151 as the mine shell and the heavier rounds will not arrive at the same point in space/time.
Before I get jumped on, this is referring to long range fire, like in excess or well in excess of 400 meters. At closer ranges the differences fade to insignificant the mis-matched guns co-ordinate very well. This is not which country was better ( I have left out rates of fire, weights of guns, weights of ammo, weight of HE, etc) this is only referring to problems in getting hits at long range.
In theory the fuselage mounted weapon had a lot going for it, in practice it had a lot of problems with implementation in WW II. Designing a weapon system (gun/engine/airplane) that only a very small percentage of pilots can make use of is not the smart way to go.