Its a great idea.... but the mach speed needs to be in relativity to the ground... 872.1m/s is not mach 3.0... its mach 2.54 in relativity to the ground.... mach 3 is 1029m/s... if you add in kerboins rotation speed to the planes current speed its roughly 1047m/s which is very slightly above mach 3.0
I think it just needs some polishing up, great job though!
sincerely, solarise helm.
Safe sciencing!