ORIGINAL: kriegsmacht
Ok here's what you do. First build the plane. It wouldn't look like a scale F-15 with missles and pilot figure, it would more resemble a round or oval fuselage cruise missle. Use carbon fiber tubes like the high power rocket guys. Long tube, thin wings, sharp nose, delta wing.. I dunno, whatever works best with supersonic airflow. Get an expert aerodynamic guy to tell you what would go out of control when it passes mach 1.
Install the turbine engine system with the most thrust available. Or two, side by side. In between them, install one of those high impulse, high altitude rocketry engines, radio operated igniter of course.
A radio communications system, so several people can listen and communicate voice on the same channel.
A long, secluded, wide open, unpopulated area.
3 or 4 seasoned RC turbine pilots.
3 identical computerized radio control transmitters , 72mhz PCM, all set up and programmed the same and on the same channel.
And here we go... Space out the pilots 1 mile apart with a caller between each pilot. The PCM will use failsafe and will be set to leave all controls at position of last good signal. Pilot 1 takes the plane off flies it upwind and high till its pretty small, then turns downwind and kicks it in the guts. Full power and a nice dive. As he passes himself he levels the plane and lets it continue to fly wide open. When it passes over the position of the first caller, he gives a signal. At that time, pilot 1 switches off his radio and pilot 2 switches his on.
The radio will lockout and maintain current everything, for a brief second until it immediatly sees good signal from pilot 2 who, after having control, clicks on the rocket engine. It is during the control of this pilot, it should go supersonic. Pilot 2 maintains a straight and level heading, and the next tradeoff is made in the same manner to pilot 3. The rocket motor will have burned out, and it is up to pilot 3 to get the plane into a climb or turn or whatever to slow it down and land.
This is sort of odd for beginners forum, but it's sort of "what if" anyways, and all in fun.
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A radio repeater station would work for that, but you might want a telemetry system on board to tell you what the numbers and attitude looks like in realtime, or fly beside it in a supesonic capable aircraft... Oh yeah!