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The Messerschmitt Me-163 "Komet" or "Kraft-Ei" (force egg) rocketplane interceptor.
Probably the fastest climbing fighter in WW2, reaching 10.000 m in about a minute depending on the version.
It was designed to start when bombers where intruding and reach them within 1-2 minutes after launch.
It had very little range, but a topspeed of over 1000 km/h, first reached in 1941.
The engine was always some variation of the Walther-engine, running on hydrogen peroxide getting pumped by a turbopump and reacting hypergolic with a catalyst, both where liquid and got injected into the reaction chamber. (cold Walther-engine)
Later versions mixed hydrocarbons to the catalyst to make use of the excess oxygen in the exaust. (hot Walther engine)
Further development meant giving it an additional reaction chamber and nozzle for cruise flight.