Multiple moons orbiting a gas giant: How would I calculate how long it appears for a closer moon to orbit the planet from a further-out moon?
I have a habitable moon orbiting a gas giant, and there is another moon orbiting the planet on a closer orbit. The cultures on the near-side of the further, habitable moon use the transit of the closer moon across the planet for timekeeping, but I don't know how to figure out how long it appears to take the closer moon to orbit the planet from the surface of the further moon. It takes the closer moon (161,600 km from planetary center) 19.85 hours to orbit the planet, and the further moon (340,800 km from planetary center) 60.57 hours to do the same. They orbit in the same direction and both have very low eccentricity. Is there some way to numerically model the two moons' orbits around the planet so that I can see how fast one moon appears to travel relative to the other?
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