cyclic coordinates

This paper discusses how to use the Legendre’s transformation to transform the Lagrange’s dynamical equations into the Hamiltonian canonical equations and further, it provides a way of using the canonical transformation to change the generalized coordinate into the cyclic coordinate.

本文探讨了如何用勒让德 ( Legendre)变换将动力学系统的拉格朗日 ( Lagrangian)方程变为哈密顿 ( Hamiltonian)正则方程 ,并进一步探讨了如何用正则 ( Canonical)变换把广义坐标变为循环坐标 ,使哈密顿正则方程易于求解。