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This lecture covers the dynamics of stellar orbits in axisymmetric potentials, including nearly circular orbits, non-radial orbits, radial and azimuthal periods, and the properties of different types of orbits. The instructor discusses the equations of motion, energy equations, and the general solutions for various potentials, such as the Keplerian and Miyamoto-Nagai potentials. The lecture also explores the concept of effective potential, the behavior of orbits in the equatorial and meridian planes, and the significance of stationary points in the dynamics of stellar systems.