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Lets cover Gas first. The pro's for gas are the LOOONG flight times and low $$$ to operate. The con's are having to tune that darn carburetor! EVERYTHING in AP centers around how smooth your machine is. You MUST learn how to tune your engine AND heli to obtain the smoothest possible platform. The tricky part is figuring out if a vibration is an ENGINE problem or a HELI problem...Higher altitudes can be difficult for Gas power, relating back to tuning the carburetor for the conditions.
Electric....Pro's are how EASY it is to get it SMOOOOTH.....If there's a vibration, it's in the heli. there is NO tuning needed, the electric motor either runs or it doesn't. Altitude is NO problem for electrics as it doesn't care that there is no oxygen to breath...Con's are the low flight times (comparatively speaking), the cost of the batteries/chargers/power supply, and the time it takes to charge the batteies. In recent months and years, flight times have gone up (15 minutes is not unheard of) and charging times have gone down with the ability to charge at up to 5C. But the cost is still there.
Turbine....Oh how we LOVE the sound and smell!! Pro's are again the smoothness of the engine and the lack of needing to be tuned, it's either running or it's not. Again altitude is less of a concern for Turbines, it compresses it's own air...Turbines are very powerful, therefore able to carry possibly larger payloads in larger airframes. Con's..Price. That Turbine engine is expensive. It also LOVES to suck down the Kerosene so careful calculations must be made for weight vs onboard fuel capacity. The Turbine is typically a larger, heavier heli, so transportation must be given consideration.
this is a copy and paste from a custom heli builders website. this is describing helis sized around the one that im building. the yamaha and other largerer UAVs (the yamaha has a 2stroke 250cc motor in it!) can carry a much more sophisticated camera gimbal, have exponentially longer flight times, and can carry much more extensive GPS type systems as well.