Arnold, I.V. (1989) Mathematical Methods of Classical Mechanics. 2^nd Edition, Springer-Verlag, Berlin.
https://doi.org/10.1007/978-1-4757-2063-1

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.