Lectures related to System Dynamics: Trajectory Analysis

Covers the principle of least action and constraint handling in analytical mechanics.

Explores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.

Covers Lagrangian mechanics, a method simplifying equations of motion by focusing on energy concepts and generalized forces in complex systems.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores the dynamics of a compound pendulum, emphasizing inertia and energy analysis.

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Explores free fall, projectile motion, and practical applications of gravitational concepts.

Explores the behavior of trajectories in differential equations, focusing on asymptotic behavior and solution uniqueness.