Explores the stability of Lagrange points in celestial mechanics, focusing on equilibrium in rotating frames and the dynamics of celestial bodies.
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Explores ballistic motion in an accelerated frame, Coriolis force, Foucault pendulum, rotating frame equations, and Kepler's laws application.
Explores the formation and evolution of galaxies, galactic dynamics, stellar orbits, and equilibria of collisionless systems in astrophysics.
Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
