Week  Topics  Study Materials  Materials 
1 
Hamilton’s principle, generalized coordinates, Lagrange’s equations in generalized coordinates.



2 
Equivalence of Lagrange’s and Newton’s equations, applications of Lagrange formulation.



3 
Lagrange’s equations with undetermined multipliers, conservation theorems in Lagrange formulation



4 
Hamiltonian formalism and Hamilton equations and their applications.



5 
Central forces, reduced mass, conservation of angular momentum and Kepler’s second law.



6 
Orbits in central field, centrifugal energy and the effective potential.



7 
Planetary motion, Kepler’s third law, orbital dynamics and satellite launching.



8 
Center of mass, linear momentum of a system of particles.



9 
Angular momentum of the system, energy of the system.



10 
Collision of two particles, cross section



11 
Rotating coordinate systems, centrifugal and Coriolis forces.



12 
Motion relative to the Earth.



13 
Inertia tensor, angular momentum, principal axis of inertia.



14 
Eulerian angles, Euler’s equations for a rigid body.


