16 lectures.
Areas: Astro
Prequel/pre-requisite: Kinetic Theory (MT)
The first homework deadline is Wednesday, 13:00, week 5 (17th February)
The second homework deadline is Wednesday, 13:00, week 8 (10th March)
Link to submit your homework to TA Dominic Dootson: https://cloud.maths.ox.ac.uk/index.php/s/pPJ2RByRRKBt3Db
Prof. John Magorrian
Mini-project or no formal assessment; homework completion
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.