三体问题的一种初等解

An elemental solution of three-body problem

质量不同的3个质点,只在相互之间的万有引力作用下,可以选取合适的初始条件,使得运动过程中,3个质点始终保持在旋转变化正三角形3个顶点上.数值计算验证了理论预言,并给出这种三体运动周期解轨迹图形.

Three different body,which attracts each other only by gravitation,can travel along vertexes of an rotating equilateral triangle with changing length under special initial velocity condition.Numerical solution confirms this conclusion and gives these periodical trajectories.