Hi Renrich,
>I don't think there is any mystery to max effective range. I don't have my ballistic tables handy but there is something called the rule of three.
Hm, I see what you mean, but it's my impression such a kind of well-defined rule is not the basis for the usually quoted maximum errective range figures for aircraft armament. Or Tony Williams simply didn't know about it
>On a deer size target that means that a shot within 300 yards is essentially point blank and the shooter does not have to worry about range or bullet trajectory.
That's a good point - I don't know if you remember the generic patterns "as viewed through the gunsight of a fighter" I posted a while back, but I based these on just this idea of point blank shooting:
http://www.ww2aircraft.net/forum/weapons-systems-tech/centerline-guns-configurations-11037.html
(For wing-mounted fighter guns, the lateral deviation from the aim point usually has a larger impact than the vertical one, by the way.)
If we're talking about rapid fire weapon, it might even be necessary to include the pattern size into the consideration as fully automatic fire from airframe-mounted batteries tends to be far less accurate than aimed single shots from a handgun. For the tail turret of the B-17, the dispersion circle was given as 25 mils, meaning that the pattern would spread over a 10-m-wingspan fighter from wingtip to wingtip at 400 m range. Of course, the fighter in a head-on aspect will only fill a fraction of the pattern "disk" so that your hit chances are down to a fraction, too - even if the centre of the pattern perfectly coincedes with your aim point.
Accordingly, I'd say a big part of the problem for the B-17 gunner would be that the fighter with its fixed and considerably more rigid gun mounts would have a considerably smaller dispersion (a 4 to 6 mil circle for the MG 151/20) then the bomber's defensive guns.
For example, at 800 m range, a fighter's pattern (for example from the wing root guns - the outer wing guns would not be worth much beyond convergence range) would have less than 5 m diameter. Even with just two 20 mm cannon firing, bringing that pattern to bear on the bomber would do very serious damage.
The bomber gunner on the other hand would have a pattern with 20 m diameter, meaning that the fighter would only fill a small fraction of the pattern - and that most shots would miss even if the gunner aims perfectly. If we assume that the frontal area of the fighter fills something like 2% of the pattern, we might get 3% hits for the sake of the example as the pattern is denser towards the centre, and that means firing 100 rounds he'd get just 3 hits randomly distributed over the Focke-Wulf - which in the same time could 184 rounds at the bomber, of which (depending on the placement of the pattern) several dozen could hit if the aim is right.
So the gunner would have reason to feel out-ranged, even though the trajectory of his 12.7 mm machine gun is flatter than that of the 20 mm MG 151/20 of his opponent ...
Regards,
Henning (HoHun)