顺行平面哈密顿系统的周期—能量关系

Relation Between Period and Energy of the Plane Hamiltonian System on Direct Rotation Motions

研究相对于中心为顺行闭轨运动的平面哈密顿系统的周期与能量的关系 ,证明周期对能量的解析依赖性 ,并由此证明有奇闭轨的平面哈密顿系统满足局部扭转条件 ,也给出周期对能量的导数T′(h)的显式 .

The relation between period and energy of the plane Hamiltonian system, of which the motions are direct rotations is studied. It is proved that the period of the orbit depends analytically on the energy, and that the local twist condition is satisfied in the region of closed orbits surrounded by a singular closed orbit. A formulation of the derivative T′(h) of period with respect to energy is also presented.