Lecture 6: Introduction to stellar dynamics.
II
Reading:
Binney and Tremaine, 3.1, 4.1, Appendix 1.E
Supplementary reading:
For discussions of orbits in spherical potentials, you can look at just
about any undergraduate mechanics book.
The best derivation of the equations of fluid mechanics is Landau
and Lifshitz, Fluid Mechanics. Everything
you need is derived
by page 4!
The reason for using the cumbersome name "collisionless Boltzmann
equation" rather than the simple "Vlasov equation" is described
here