有心力场中的闭合轨道与动力学对称性

The Dynamical Symmetry and the Closed Character of Orbits in the Central Forces

本文用群论方法讨论了经典力学中导致质点作闭合轨道运动的两类有心力场的对称性，通过演算阐明了平方反比引力场和虎克定律场分别具有ＳＯ（４）和ＳＵ（３）对称性．

In this paper,the symmetries of two central fields in the classical mechanics that result in closed orbits for all bound particles are discussed by using the group theory method.We prove that the symmetry groups of the inverse square law and Hook's law are SO(4)and SU(3).