## Galactic and planetary dynamics

### Course outline

Review of Hamiltonian mechanics. Orbit integration. Classification of orbits and integrability. Construction of angle-action variables. Hamiltonian perturbation theory. Simple examples of its application to the evolution of planetary and stellar orbits. Methods for constructing equilibrium galaxy models. Applications. Fundamentals of N-body simulation. Dynamical evolution of isolated galaxies. Interactions with companions.

### Reading

*Galactic dynamics*, Binney & Tremaine*Modern celestial mechanics: aspects of solar system dynamics*, Morbidelli

### Lectures

HT16 Weeks 1-8. Monday 4pm and Tuesday noon, Room 501, Denys Wilkinson building.

Lecture notes are available [updated 9 Mar 2017: possibly helpful exercise on Lie transforms]

### Problems

- Problem set 1
- Problem set 2 [Updated 15 Mar 2017: Q1 made slightly more humane; sign corrected in Q3.]