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.
Galactic dynamics, Binney & Tremaine
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]