PH 203	Classical Mechanics	2-1-0-6
Syllabus: Principle of least action: Hamilton's principle, Generalized coordinates, Euler-Lagrange formulation of dynamical systems, Symmetry and conservation theorems Two body central force problem: conservation of angular momentum and energy, motion in gravitational potential, equation for the orbit, stability of orbit Rigid Body Dynamics: rigid body rotation about a fixed axis, moment of Inertia tensor, Eigen values and principal axis transformations; Euler angles, Euler equations of a rigid body, precession of heavy symmetrical top Hamiltonian dynamics:  Hamilton's equation of motion, Phase space diagram, Poison brackets, Infinitesimal transformations and symmetry generators, Hamilton-Jacobi equation and associated problems Small oscillations: dynamical matrix, normal modes Texts: 1. N.C. Rana and P.S. Joag, Classical Mechanics, Tata McGraw-Hill, New Delhi, 1991. 2. H. Goldstein, Classical Mechanics, Narosa, New Delhi, 1998. References: 1. J. R. Taylor, Classical Mechanics, University Science Books, 2003. 2. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Elsevier, 2005.