Lectures Notes, Recommended Reading and Problems (2024):
- Order of Magnitude Gravitational Dynamics
lecture_ord_mag.pdf
Reading:
Read the book by Goldreich, Mahajan et al. on
Understanding the World with Dimensional Analysis ...
Assignment due Monday Sept 9, due at midnight. Please upload your work into blackboard:
Problem set 1
- Hyperbolic orbits, Impulse approximation,
Dynamical Friction and Gravitational Heating
lecture_hyp_orb.pdf
Reading: Read on Dynamical Friction in Binney and Tremaine's book, Galactic dynamics (sections 7.4, 8.1, 8.2)
or the end of Chap 3 in Valtonen and Kartunnen's book, The three body problem
Assignment due Monday Sept 23, at midnight. Please upload your work into blackboard:
Problem set 2
- Some Celestial Mechanics
lecture_CM.pdf
Reading: Chap 2,6 of Solar System Dynamics (by Murray and Dermott), or
Chap 3 of The Three Body Problem (by Valtonen and Kartunnen)
Assignment due Oct 9, at midnight. Please upload your work into blackboard:
Problem set 3 ,
Problem set 3 numerical problem (html),
Problem set 3 jupyter notebook
- Spiral density waves
lecture_Spiral.pdf
Reading: Section 3.2, Chap 6 of Galactic Dynamics (by Binney and Tremaine)
and Chap 7 of the Astrophysics of Planet Formation by Phil Armitage
Assignment due Monday Oct 28, at midnight. Please upload your work into blackboard:
Problem set 4
Problem set 4 numerical problem (html),
Problem set 4 jupyter notebook
-
Collsionless systems, the Collisionless Boltzmann equation, Virial and Jeans equations
Lecture_ColBol.pdf
Reading: Chapter 4,5 in Binney and Tremaine on collionless systems.
Assignment due Monday Nov 11, at midnight. Please upload your work into blackboard:
Problem set 5
Problem set 5 numerical problem (html),
Problem set 5 jupyter notebook
- Hamiltonian Dynamics. Canonical transformations.
Resonances. Area preserving maps.
Lecture Notes:
ham1.pdf ,
ham2.pdf ,
ham3.pdf
- Tidal Evolution.
Notes on tides Tidal_Notes pdf , keynote
Reading: Murray and Dermott Chapters 4,5
Assignment due Thursday Dec 12, at midnight. Please upload your work into blackboard:
Problem set 6
Problem set 6 numerical problems (html),
Problem set 6 jupyter notebook