Hamilton-Jacobi formulation of holonomic constraints

الملخص EN

The motion of systems with holonomic constraints is investigated within the framework of Hamilton-Jacobi approach.

The Hamilton-Jacobi function is obtained by introducing the Lagrange multipliers as generalized coordinates into the regular Lagrangian.

The method is illustrated in terms of two coordinate systems – the Cartesian and the polar – by explicitly obtaining the respective equations of motion of a particle in a circular path.