Canonical Equations: Solutions and Impulses

This lecture covers the canonical equations for isolated systems, focusing on finding solutions by separating variables and identifying characteristic equations. It explores the transformation generator, motion constants, and impulses, emphasizing the importance of proper values and eigenvectors. The instructor explains how to determine trajectories starting from given conditions and the symplectic matrix's application. Additionally, the lecture delves into the behavior of solutions under different initial conditions and the concept of limits in the context of canonical transformations.