The circuit breakers are likely to be rated at 25 C, the proverbial "room temperature". With higher ambient temperatures, they may trip at a lower current than the rating. Of course, this would tend to be worse in the summer. Some breakers have compensation for the ambient temperature or at least less sensitivity to the ambient temperature. The detailed datasheet for the breaker(s) would include such information. Let me know if you need help finding such info.
If you have a clamp on type ammeter, you can measure your actual motor current under different conditions to see how much margin you have. Is the motor on your Coote motor running from 110V or 220V? I would have to do the math but I think that you can only ever get about 2 hp from a 110V, 15A circuit. The (in)efficiency of the motor will reduce that to something like 1 1/2 hp, at the shaft, for a single-phase motor.
Phil