Potentiometer Planetary Reduction Drive Knob

A different take on the compound planetary gearbox. This time, we use split sun gears, synchronize the ring and planet gears. One sun gear will be fixed to the threaded shaft of the potentiometer (or some kind of tuning capacitor), the other to the knurled dial. The input will be the outer ring.

This might be useful for Arduino analog inputs or ham radio tuning.

https://youtu.be/32HHkyQ1MCM

By stretching the rules and circumventing the R=S+2P constraint, many possible gear ratios up to 100:1 are possible from the usual planetary arrangement. The provided sample is 16:1, which should be practical given tolerance, backlash and Arduino sampling resolution.

Note: The customizer will not take just any values. Several constraints must be satisfied. I have compiled a sample of possible combinations in this [google sheet](https://docs.google.com/spreadsheets/d/12aYCHHGVahjbIu21Ix0mpmor-ldebmyBSsCOzph3iyE/edit?usp=sharing). I'll post a writeup of the mathematics at some stage, but i