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Why no more than 5500kg? If I want to use an R4360 engine, keeping the mass below 5500kg could be a challenge.
The original Hawker Fury was a biplane. The next one was a land-based "lightweight" fighter with a Napier Sabre_VII, which did 485mph at 18,500ft. Note that altitude. Most fast WWII aircraft were flying in thin air somewhere above 25,000ft. Hawker Sea Furies were awsome, but that awsome.As mentioned, the P-51H's, Hawker (Sea) Furies etc. are well trodden territory. For a slightly(?) unconventional take:
Hi,The F4U-5 hits all of the boxes.
So does the F8F-2.
They were some of few 1946-1950 fighters made in Quantity (several hundred) that used a new engine.
The engine used weighed 2700lbs (in the F4U-5) or about 400lbs less than the Nomad. They carried four 20mm M3 cannon (American equivalent to the British Hispano MK 5).
The F4U-5 engine shows a problem, it required a lot of airplane to hold the intercoolers and duct work. It also had about the best performance at altitude.
The F4U-5 carried the same guns as the F8F-2 but it carried a lot more ammo. It also had better performance higher altitudes and it had more range.
It was also heavier
Needing a mid 50s missile might be stretching things a bit.Our primary weapon will be a remote controlled missile weighing no more than 500lb. A hundred pounds of explosive should be dangerous even exploding in proximity. The missile will have ten minutes of fuel. They will be stored in a bomb bay in the aircraft, located at the aircraft centre of mass. We want to carry at least three of these things,
The Hs293 and the FritzX had flares on their tails. The bomb aimer used a remote control, and simply imposed the flare on the target. It would nice to hit the bomber, but close counts in horseshoes, hand grenades, and high explosives going off near aircraft. If you force the bomber formation to spread out a bit, there is a better chance for the Miles Mangler to get in and do something.It worked, kind of, and it used 1950s technology to do it.
Trying to use even 1940s rocket motors and electronics is going to be hard. Everybody knew the theory, getting the theory to work in the real world was a problem.