空间4-体问题舞蹈周期解的新证明

A New Proof on the Hip-Hop Periodic Solution for the Spatial 4-Body Problem

运用张世清和周青关于牛顿N-体问题具有对称性的碰撞广义解的Lagrange作用的下界估计,给出了等质量的牛顿四体问题非碰撞和非平面舞蹈周期解存在性的一个简单证明.

For the Newtonian 4-body problems with equal masses,we give a new simple proof for the existence of the hip-hop non-collision and nonplanar periodic solution, where we used the lower bound estimates of Zhang and Zhou on the Lagrangian action on the symmetrical generalized solutions for Newtonian N-body problems.