Lecture 21 Homework Problems
Kirchwood Gaps

1. Using Kepler's 3rd Law, show that the gaps in the figure below correspond to the period ratios shown, by directly converting the ratio [gap semi-major axis] : [Jupiter's semi-major axis] to a period ratio. Use the same technique to find the resonances (period ratios) for the smaller dips near 2.7 AU and 3.0 AU.