Class Times/Dates

Class will meet twice weekly on Tuesday and Thursdays from 4:00pm to 5:15pm in J. W. Gibbs 263. There will be classes during reading week. The course syllabus can be found below.

Course Description

Stellar dynamics attempts to answer the following question: what happens when you have a large number of particles (stars) orbiting under the influence of their mutual gravity? This course will cover the dynamics of objects ranging from binary stars to globular clusters to galaxies. Particular emphasis will be placed on direct applications to observational data.

Textbook

The textbook for the course is the second edition of Galactic Dynamics by Binney & Tremaine (2008, Princeton University Press). The new edition contains significant additional topics and updated observational data over the first edition which was originally published in 1987.

Also recommended, but not required is Galactic Astronomy by Binney & Merrifield (1998, Princeton University Press) and is also available in the Astronomy library.

Evaluation

Grading will be divided as follows. Details on each part can be found in the syllabus:

40% Problem sets. There will be 4 to 6 sets in total which will be given out roughly every other week. I encourage interactions with other students on the problem sets, however the answers should be presented in your own words and style.
30% Midterm exam in class on April 12, 2012
30% Final presentation

Syllabus

The syllabus provides details on grading and class expectations. Readings will be assigned and should be completed BEFORE each lecture. I will hand out my lecture notes at the start of each class. The following is a tentative schedule for topics which will be updated and modified as the semester progresses.

DATE LECTURE READING
1. Tues Jan 10
2. Thur Jan 12
Introduction
Dynamical Timescales
BT 1.0-1.2
BT 2.2.1-2, 2.6.1
3. Tues Jan 17
4. Thur Jan 19
Potential Theory I
Potential Theory II | HW#1 due
BT 2.3, 2.5.3, 2.7
BT 3.1
5. Tues Jan 24
6. Thur Jan 26
The Two-Body Problem
Orbits in Axisymmetric Potentials
BT 3.2, 3.3
BT 4.1, 4.2, old BT 4.1
7. Tues Jan 31
0. Thurs Feb 2
The Collisionless Boltzmann Equation I | HW#2 due
No Class
BT 4.8.1-2, 4.9
8. Tues Feb 7
9. Thurs Feb 9
10. Fri Feb 10
The Collisionless Boltzmann Equation II
The Collisionless Boltzmann Equation III
The Tensor Virial Equation HW#3 due
0. Tues Feb 14
0. Thur Feb 16
No Class
No Class
11. Tues Feb 21
12. Thur Feb 23
Integrals of Motion
Orbit-Based Modeling
13. Tues Feb 28
14. Thur Mar 1
15. Fri Mar 2
Kinematical Observations
N-body Modeling I
N-Body Modeling II
Tues Mar 6/8
Thur Mar 13/15
SPRING BREAK
16. Tues Mar 20
17. Thur Mar 22
Relaxation Mechanisms
Collisions & Encounters
18. Tues Mar 27
19. Thur Mar 29
Dynamical Friction
The Impulse Approximation
20. Tues Apr 3
21. Thur Apr 5
Fokker-Planck Equation
Jeans Instablity
22. Tues Apr 10
23. Thur Apr 12
Spiral Structure
MIDTERM EXAM
24. Tues Apr 17
25. Thur Apr 19
Student Presentations
Student Presentations
26. Tues Apr 24
27. Thur Apr 26
Student Presentations
Student Presentations
BT = Binney & Tremaine


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