Resonances:  Properly timed gravitational “pushes”
• Like someone pushing kid on a swing
– Timing of pushes just as important as force used
• Pushing at random times has little effect
• Pushing at just right point in each cycle can produce big effect
• Resonances are same sort of effect – for orbits
• If orbital periods have ratio 1:2, moons pass each other in same place
each orbit, so gravity of one on other badly disturbs orbit
Io : Europa orbital periods
1.7 days  :    3.4 days
1      :        2