30
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