Author(s)

Ola A. Jarab’ah

Applied Physics Department, Faculty of Science, Tafila Technical University, At-Tafilah, Jordan.

The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calculate the generalized momentum p_θ and we find that this quantity is not conserved and the conjugate θ coordinate is not a cyclic coordinate.

Hamilton Jacobi Equation, Generalized Momentum, Elliptical Motion, Cyclic Coordinate

Jarab’ah, O. (2023) Canonical Treatment of Elliptical Motion. Advances in Pure Mathematics, 13, 620-624. doi: 10.4236/apm.2023.139041.