具有给定能量的引力势N体型问题的多个闭轨

Multiple Closed Orbits of Fixed Energy for N -body-Type Problems with Gravitational Potentials

本文对一类Ｎ体型Ｈａｍｉｌｔｏｎ系统证明了在任一给定能量面上存在多个几何不同的非碰撞周期轨道．

In this paper, we prove the existence of multiple geometrically distinct closed noncollision orbits with prescribed energy for a class of Hamiltonian systems including the N -body problem.