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How long is a day on Styx?

About 77.8 Earth hours ยท orbits Pluto every 20.2 days

Pluto's tiny, irregularly-shaped moon that tumbles chaotically through space

Styx is shaped like a peanut and tumbles chaotically - it doesn't rotate smoothly! This makes it one of the few moons that isn't tidally locked to its planet.