Lectures Notes and Recommended Reading and Problems:
- Lecture 1: Order of Magnitude Gravitational Dynamics
Read the book by Goldreich, Mahajan et al. on
Understanding the World with Dimensional Analysis ...
Assignment for Tuesday Jan 24:
Be ready to 1) Talk about a potential project idea. 2) Explore
at the black board a few order of magnitude problems from Lecture 1 notes.
3) Estimate at the black board an order of magnitude problem of your own
- Lecture 2: Hyperbolic orbits, Impulse approximation,
Dynamical Friction and Gravitational Heating
Reading: Read on Dynamical Friction in Binney and Tremaine's book
Assignment for Tuesday Feb 7:
Write up a solution for an order of magnitude problem.
Write up solutions for problems 1,2 from Lecture notes 2.
Be ready to discuss in class approaches on other
problems in Lecture notes 2.
- Rotational Dynamics. Infinitesimal transformations, Rigid bodies,
Reading: Read Chapter 7,8 of Fitzpatrick's on-line book.
Notes on tides _Tidal
Assignment for Tuesday Feb 21:
Write up solutions for problems 2,3 from
Work on problem 4 to order of magnitude for discussion in class.
Reading: Murray and Dermott Chapters 4,5
Assignment for Tuesday Mar 6:
Work on and be reading to discuss problems 3-8 from Lecture notes 3 in class.
- Hamiltonian Dynamics. Canonical transformations.
Resonances. Area preserving maps.
Analytical Problems: ham_prob1.pdf ,
Python notebook for perturbed pendulum mapping notebook ,
Python notebook for Kepler map notebook ,
Assignment for Tuesday Apr 4:
Turn in 3 analytical problems and begin work on the numerical problems.
Assignment for Tuesday Apr 11:
Turn in your numerical explorations.