ASTR 502 Astronomincal dynamics
3 credit
Prereqs: None (permission of instructor for undergrads)
Evaluation: Midterm and final exam. Heavy homework problems.
Texts:
Class notes for Celestial Mechanics.
Binney and Tremaine (2nd ed) Galactic Dynamics
Unit: CELESTIAL MECHANICS
- Overview of solar system structure, coordinate systems (1 lecture)
- 2-body problem, orbital elements, astrodynamics, Kepler's Eq. (3 lectures)
- hyperbolic orbits and gravity assists (1 lecture)
- perturbation equations, osculating elements (1 lecture)
- precession in oblate gravity fields, drag (1 lecture)
- The N-body problem and dynamical chaos (1 lecture)
- Numerical techniques (spread throughout)
- The restricted 3-body problem (2 lectures)
- Multi-planet dynamics (2 lectures)
Unit: GALACTIC/STELLAR DYNAMICS
- potentials of spherical and axisysmmetric systems (2 lectures)
- Orbits in spherical and axisysmmetric potentials (2 lectures)
- The structure and potential of the galaxy (1 lecture)
- kinematics in rotating potentials, bars (1 lecture)
- N-body scattering (1 lecture)
- Dynamics of star clusters (2 lectures)
- Boltzmann equation (1 lecture)
- Virial Theorem (1 lecture)
- Tidal effects, Gravitational friction (1 lecture)
Background:
Students assumed to know ODEs and PDEs.
Assumed undergrad mechanics with Lagragians and brief exposure to Hamiltonian
Astronomy background unassumed, but heavy reading on galactic structure if not.o
Goal: Get students in all domains of astronomy needed background in
general dynamics to be able to understand basics of the literature.