What would it be like for civilization to have evolved on a world with a moon (or other large natural satellite) in geosynchronous orbit. There’s just this … thing, in the sky, hovering over one spot. How sacred would that spot be to those people
Good one. The novel Courtship Rite by Donald Kingsbury had such a moon (the Scowlmoon) as part of the worldbuilding.
For another, imagine having a moon so big it can completely cover the sun... and just the right size and distance to only block the photosphere, leaving the corona visible without instruments. What a show that'd be, what wild myths the life there might make up.