I'm considering writing a story taking place in a base on Saturn's closest moon, Pan. The premise for the base is that they got Earth-normal gravity by setting the moon spinning, causing anything on the surface to fly outward due to centrifugal force (or centripetal, whatever you'd like to call it). I've calculated that it should need to make a full rotation once every four minutes (1.5 degrees per second) to have Earth-normal gravity.
However, I have a few technical questions about this that I would be grateful for answers to.
- How would we get Pan spinning in the first place? I've seen the questions about getting planets spinning, but they don't really answer my questions. Pan is much smaller than any planet, and I assume would be much easier to get spinning. I don't really need an exact scientific explanation of how we'd do this, but if you have an idea of what type of solution it would be, that would be awesome. If necessary, we could have half of Earth-normal gravity and spin the planet slower.
- Am I correct in assuming that different latitudes would have different "gravitational force"? The observed centrifugal force is dependent on the radius, and as you get closer to the poles, I would assume that would mean you're closer to the axis and therefore would have less gravity?
- How would tidal forces affect the base? Pan is a tidally-locked moon, and I assume it would slowly work its way back to that equilibrium over time. The equations were way too complicated for me; am I correct in guessing that this would be at a timescale so slow as to be negligible? Edit: Renan's comment answered this part
Thanks y'all! Any help is appreciated.