We have to assume that the traditional front-engine layout was best for single-engined fighters, simply because nothing else tried worked as well.
However, for certain specific purposes, other layouts might have worked better. The P-39/63 was an interesting attempt, but I would have like to have seen a twin-tailboom pusher. Various examples of this were tried, but I think only the Swedish SAAB 21 made it into significant service, and that wasn't a particularly wonderful design.
The advantages of such a design ( unlike the SAAB, I am assuming a forward cockpit with gun actions/ammo storage behind the cockpit, and the gun barrels running underneath or to one side - think DH Vampire with a piston engine) include:
1) Excellent forward/downward visibility (particularly useful in ground attack or carrier planes)
2) Concentration of heavy armament in the nose without the penalties of synchronisation.
3) The possibility of mounting one heavy cannon in the nose for anti-tank purposes (possibly with the barrel running through the cockpit - all sorts of Freudian advantages here:) )
4) It would need a tricycle undercarriage, greatly improving forward visibility on take-off and landing (particularly useful in naval aircraft, or in close-support planes which need to use small forward airstrips - both of which also call for a tough, long-stroke undercarriage).
5) Variable weights (ammo and fuel) could be concentrated over the wing so the handling wouldn't be affected as they were used up (a problem for the P-39 with its forward ammo supply).
6) The engine (preferably an air-cooled radial) would provide a lot of added protection for the pilot from the most dangerous zone of attack - the rear.
Disadvantages?
1) Not too comfortable to bale out of (an ejector seat, or an explosive charge to blow off the prop, would be required).
2) Not too comfortable to crash into anything in a bad landing - the engine might end up in your lap, having passed through the rest of you....
3) Handling might not have been as good as a conventional fighter, although I don't think enough designs with this layout were tested to reach any definitive conclusions.
So, you could have ended up with a plane in two versions; a carrier-borne fighter-bomber, and an armoured ground attack/anti-tank fighter-bomber. It might have been a useful addition....
Tony Williams
Author: "Rapid Fire: The development of automatic cannon, heavy machine guns and their ammunition for armies, navies and air forces"
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