Reading¶
Chapter 9.1 and 9.2 from Jo Bovy
Chapter 8.2 from Murray and Dermott
Reading questions¶
Q1-4 are related to the first reading, Q5-7 to the second.
What is the behavior of the solutions of the equations of motion 9.4 and 9.5?
What determines the region that the orbit covers in the z-R plane?
What does Noether’s theorem allow us to find?
How can one obtain a good approximation of the orbits considered in section 9.2?
Give a qualitative reasoning as to why the points become closer in the rotating frame for an orbit with e>0.
What is the difference between an interior resonance and an exterior resonance? Write mathematical expressions for both.
From the reading and the figures, what distinguishes a stable equilibrium configuration from an unstable equilibrium configuration?
Answers to these questions should be submitted to your github repository before class on Monday.