Lectures Notes, Recommended Reading and Problems (2020):
- Lecture 1: Order of Magnitude Gravitational Dynamics
Lecture1.pdf
Reading:
Read the book by Goldreich, Mahajan et al. on
Understanding the World with Dimensional Analysis ...
Assignment for Tuesday Jan 28, due in class:
Problem set 1
- Lecture 2: Hyperbolic orbits, Impulse approximation,
Dynamical Friction and Gravitational Heating
Lecture2.pdf
Reading: Read on Dynamical Friction in Binney and Tremaine's book
Assignment for Thursday Feb 6:
Please do problems 1 and 2 from
Lecture2.pdf
- Lecture 3.
Collsionless systems and the Boltzmann equation
Lecture3.pdf
Reading: the chapter in Binney and Tremaine on collionless systems.
Assignment for Thursday Feb 20:
Chose 3 problems from the following to work on, turn in and also discuss in class:
Problems 4,5,8 of Lecture2.pdf
Problems 1,2,3 of Lecture3.pdf
Assignment for Thursday Feb 27: Read either Antoja+18 or Leleu+17 and be prepared to discuss in class.
- Rotational Dynamics. Infinitesimal transformations, Rigid bodies,
MacCullagh's formula. Tidal and rotational deformation. Tidal evolution.
Lecture4.pdf
Reading: Read Chapter 7,8 of Fitzpatrick's on-line book.
Notes on tides Tidal_Notes pdf , keynote
Assignment for Thursday Mar 26:
Choose 4 or 5 problems to work on and write up from the end of
lecture4.pdf
Reading: Murray and Dermott Chapters 4,5
Problems and projects to be discussed in individual tutoring sessions from now on out!
- Hamiltonian Dynamics. Canonical transformations.
Resonances. Area preserving maps.
Lecture Notes:
ham1.pdf ,
ham2.pdf ,
ham3.pdf
Analytical Problems: ham_prob1.pdf ,
Numerical Problems:
num_prob.pdf
Python notebook for perturbed pendulum mapping notebook ,
html
Python notebook for Kepler map notebook ,
html