Galactic Orbits and Oort Constants

This lecture covers the dynamics of stellar orbits in galaxies, focusing on the Oort constants and their implications. It explains the integrals of motion, equations of motion, and orbital motions in different galactic potentials. The instructor discusses the radial dependency for a typical galaxy, the Oort constants, and the shear and compression effects. The lecture also delves into the concept of the guiding center and the total Hamiltonian near a circular orbit. Various integral motions are explored, along with the concept of surfaces of section and the effective potential. The lecture concludes with a discussion on bifurcations and resonances in new orbit families.