Central Motion: Trajectories and Energy

This lecture covers the properties of central motion, focusing on planar movement, aerolar velocity, and constant areas. It explains the radial acceleration, energy conservation, and determination of trajectory parameters using the mechanical energy and angular momentum. The lecture also delves into the equations of motion in polar coordinates, the concept of effective potential, and the classification of trajectories based on the energy constant. Through a step-by-step analysis, the instructor demonstrates how to derive the parameters of the trajectory from the known constants of motion. The content is essential for understanding the dynamics of central motion and the behavior of celestial bodies.