Stellar Orbits: Lagrange Points

This lecture explores the dynamics of stellar orbits in non-axisymmetric rotating potentials, focusing on surfaces of section and integrals of motion. It delves into the visualization of phase space, the concept of Poincaré maps, and the characteristics of loop and box orbits. The instructor discusses the stability of orbits around Lagrange points, the effects of the Coriolis force, and the bifurcation of orbits. The lecture also covers the weakly-bared galaxy model, Euler-Lagrange equations, and the interpretation of radial and azimuthal equations of motion.