Stellar Systems Dynamics

This lecture covers the dynamics of stellar systems, focusing on models defined from distribution functions, such as polytropes and the isothermal sphere. It discusses the Jeans Equations, their application to spherical and cylindrical coordinates, and models with finite potential and density. The presentation delves into the Lane-Emden Equation, solutions of the Poisson Equation, and the equilibrium of self-gravitating systems. It also explores velocity distribution functions, anisotropic velocities in spherical systems, and the concept of anisotropy parameter. The lecture concludes with discussions on the Jeans Equations for axisymmetric systems and the interpretation of various scenarios in the context of stellar dynamics.