摘要
It is shown that for a particle with suitable angular momenta in the screened Coulomb potential or isotropic harmonic potential, there still exist closed orbits rather than ellipse, characterized by the conserved aphelion and perihelion vectors, i.e. extended Runge-Lenz vector, which implies a higher dynamical symmetry than the geometrical symmetry O_(3). The closeness of a planar orbit implies the radial and angular motional frequencies are commensurable.
作者
WU Zuo-bing
ZENG Jin-yan
武作兵;曾谨言(Department of Physics,Peking University,Beijing 100871;Laboratory for Nonlinear Mechanics,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100080)
基金
the National Natural Science Foundation of China under Grant No.19675002
Nonlinear Science Project of China,Post-Doctoral Foundation
Doctoral Program Foundation of Education Committee of China.
