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Course Outline
 Survey of the elementary principles.
 Mechanics of a particle.
 Mechanics of a system of particles.
 Constraint, D' Alembert's principle and Lagrange's equations.
 Velocitydependent potentials and the principle dissipation function.
 Simple applications of the Lagrangian formulation.
 Variational principles and Lagrange's equations.
 Hamilton's principle.
 Some techniques of the calculus of variations.
 Derivation of Lagrange's equations from Hamilton's principle.
 Extension of Hamilton's to Nonholonomic systems.
 Advantages of a variational principle formulation.
 Conservation theorems and symmetry properties.
 Conservation theorems and symmetry properties.
 Energy function and the conservation of energy.
 The central force problem.
 Reduction to the equivalent onebody problem.
 The equations of motion and first integrals.
 The equivalent onedimensional problem, and Classification of orbits.
 The virial theorem.
 The differential equation for the orbit, and Integrable powerlaw potentials.
 Conditions for closed orbits (Bertrand's theorem).
Text Book

Classical mechanics
by Goldstein, Herbert. Charles P. Poole. John L. Safko
Published by : Dorling Kindersley (India) Pvt. Ltd
ISBN: 9788131758915
Course Outline
 The Kepler problem: Inversesquare law of force.
 The motion in time in the Kepler problem.
 The LaplaceRungeLenz Vector.
 Scattering in a central force field.
 Transformation of the scattering problem to laboratory coordinates.
 The threebody problem.
 The Rigid Body Equations Of Motion.
 Angular momentum and kinetic energy ot motion about a point.
 Tensors.
 The inertia tensor and the moment of inertia.
 The Eigenvalues of the inertia tensor and the principal axis transformation.
 Solving rigid body problems and the Euler equations of motion.
 Torquefree motion of a rigid body.
 The heavy symmetrical top with one point fixed.
 Precession of the equinoxes and of satellite orbits.
 Precession of systems of charges in a magnetic field.
 The Hamilton Equations Of Motion.
 Legendre transformations and the Hamilton equations of motion.
 Cyclic coordinates and conservation theorems.
 Routh's procedure.
 The Hamiltonian formulation of relativistic mechanics.
 Derivation of Hamilton's equations from a variation principle.
 The principle of least action.