Derivation of Hamilton’s equation from a variationally principle
D.T. Greenwood. Classical Dynamics. (Prentice-Hall, Inc. 1965)
Pages 162, 173
Course Material
- Generalized coordinates, Constraints, Degree of freedom
- non-Holonomic systems, Hamilton’s Holonomic and principle,
- Derivation of Lagrange equation from Hamilton’s principle
- Derivation of Hamilton’s equation from a variationally principle
- Equations of Gauge transformation
- Examples of canonical transformations Orthogonal point transformations, The principle of least action
- Applications of Hamilton’s equation to central force problems Applications to Hamiltonian formulism
- Lagrange bracket and Poisson brackets with application
- Mid term exam
- Hamilton Jacobi theory, Hamilton Jacobi theorem
- Hamilton Jacobi equation for Hamilton characteristics Functions
- Bilinear co-variant
- Quasi coordinates, transpositional relations for Quasi coordinates
- Lagrange’s equation for Quasi coordinates
- Appel’s equation for Quasi coordinates
- Whittaker equation with applications
- Chaplygain system and equation
- Final exam
- Chapters 18
- Department Mathematics
- Teacher
Ms. Farhat Imtiaz
