The periods of the four moons vary differently from each other. Ganymede had the best orbit because it was farther away and it took more time to make a complete orbit. The farther away the better because the less likely they will run into something. IO probably had the worst orbit because it was close together and it took a very short amount of time to finish one complete orbit.
Galileo would have probably had a difficult time seeing the moons with a 10x telescope because when doing the moons of Jupiter Lab, it was hard to see the moons at 100x. And when you zoomed in, it was hard to get all the moons in. Galileo decided that if Jupiter had its own mini system then why wasn't there one around the sun. Galileo believed the sun was the center of the universe.
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