On a planet with a geostationary moon, how can I determine the position in the sky of the moon depending on the position on the planet surface?
For example, Pluto's Charon. The moon wouldn't move across the sky standing still but if you were to move where you were on the planet, where would the moon appear to be? I imagine someone standing directly in line with it at the equator would see it somewhere else than a person standing in the southern hemisphere to the east. And as you drifted out of its view (east to west or north to south) would it slowly disappear beneath the horizon?
I'm sure this could be figured out studying one of our own satellites but I wasn't sure how to approach that.