If Ganymede orbits Jupiter every 7.16 days and the orbital periods of Ganymede, Europa, and Io are in a 1:2:4 resonance, what is the orbital period of Io?

Name: If Ganymede orbits Jupiter every 7.16 days and the orbital periods of Ganymede, Europa, and Io are in a 1:2:4 resonance, what is the orbital period of Io?
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Quizplus · Accepted Answer

The resonance ratio 1:2:4 means that for every orbit Ganymede completes, Europa completes 2, and Io completes 4. Since Ganymede's period is 7.16 days, Io's period is 7.16 / 4 = 1.79 days.

If Ganymede Orbits Jupiter Every 7