一维三体碰撞过程的数值实验研究

力学中常常将物体之间的相互作用描述为碰撞过程,两体碰撞模型广泛地运用于处理各种物理问题,然而现实世界中普遍存在着多体碰撞.文中建立了三体碰撞过程的动力学方程组,对一维完全弹性三体碰撞进行了数值实验研究.研究结果表明,三体碰撞物体的分离速度与物体之间相互作用过程的细节有关,一般情况下不能简化为相继的两次两体碰撞求解.

Numerical experiment on one dimensional three-body collision

The interaction between bodies is usually described as collision. Two-body collision model is widely used to deal with physical problems. But multi-body collision is ubiquitous in reality. Numerical experiment results are presented for one dimensional three-body collision dynamical equations with different masses and elastic constant. The research shows that the results of three-body collision have a direct bearing on the details of the interactions between bodies. In general, the three-body collision cannot be predigested as two-body collision one after the other.