Stellar & Galactic DynamicsSeries explores the dynamics of stars and galaxies, covering topics such as stellar orbits, collisionless systems, and the Milky Way's structures.
Stellar Orbits: Lagrange PointsExplores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Collisionless Boltzmann EquationExplores the Collisionless Boltzmann equation, distribution functions, Jeans theorems, resonances, chaotic orbits, and equilibria in stellar systems.
Stellar and Galactic DynamicsExplores the formation and evolution of galaxies, galactic dynamics, stellar orbits, and equilibria of collisionless systems in astrophysics.
Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Stellar Systems DynamicsExplores stellar systems dynamics, covering models, equations, and velocity distributions in spherical and cylindrical coordinates.
Collisionless Boltzmann EquationExplores the Collisionless Boltzmann Equation, Jeans theorems, and equilibria of collisionless systems, focusing on connections between barotropic fluids and ergodic stellar systems.
Discrete Random VariablesCovers properties and transformations of discrete random variables, focusing on PMF and expectation.