Elementary principles of classical mechanics (particles, systems of particles, constraints). Lagrangian formulation of classical mechanics, Hamilton’s variational principle. Conservation theorems and symmetries; energy. Rotation about fixed axis. Motion in a rotating frame (Coriolis force, Foucault pendulum). Hamiltonian formulation of classical mechanics. Oscillations and normal modes. Two-body problem; Kepler’s laws of planetary motion. Rigid body rotation; Euler angles, inertia tensor, Euler and Lagrange tops, precession of the equinoxes.
- Classical Mechanics, H. Goldstein, C. Poole and J. Safko, 3rd edition, Addison-Wesley, 2002.