Nawafleh, K. and Hijjawi, R. (2013) Constrained Motion of a Particle on an Elliptical Path. Journal of the Association of Arab Universities for Basic and Applied Sciences, 14, 28-31.
https://doi.org/10.1016/j.jaubas.2012.11.002

has been cited by the following article:

• TITLE: Canonical Treatment of Elliptical Motion

  AUTHORS: Ola A. Jarab’ah

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.9, September 26, 2023

  ABSTRACT: 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 momentumpθand we find that this quantity is not conserved and the conjugate θcoordinate is not a cyclic coordinate.