HDMW said:
Would the short cage rear provide enough gear range for PAS up to 47 kph?
A short cage front derailleur has about 29 teeth of capacity. You can use this link capacity in the front, rear, or both. On a road bike, it would typically be divided between a 53-39t crank and a cassette of 12-27t or 11-26t. That would work for your trike, but the rear derailleur would need to be attached to a shifter. At 47 kph in the top gear, you'll be pedaling at almost 110 rpm. That's because your drive wheel is small.
If you used a modified wide range front derailleur, you could use a triple crank that uses the entire rear derailleur capacity, as long as you only have one sprocket in the rear. So as an example, you could use a 53-34-24 crank with a single 16t freewheel in the rear. The same 110 pedal rpm will only get you about 33kph in top gear.
It's relatively easy to find chainrings up to 60t, and harder but still possible to find 64t rings. Even with these large rings, using a single freewheel won't allow you to pedal fast enough to maintain 47 kph. So you'll need to use a multiple freewheel that has an 11t small sprocket, and at that point you may as well use an operational rear derailleur.
The small diameter drive wheel of your trike limits the top speed you can attain with normal bicycle gears. It might be worthwhile to look at the Schlumpf High-speed Drive that has a 2.5:1 overdrive built into the crank. Then you could use a moderate chainring like 39t, but have the equivalent of a 97t front ring when you shift it to the high gear.