论文标题
限制平面4身体问题中的振荡轨道
Oscillatory orbits in the Restricted Planar 4 Body Problem
论文作者
论文摘要
受限制的平面四个身体问题描述了其他三个身体（初选）的牛顿重力力下的无质量身体的运动，其中该运动为我们提供了三个身体问题的一般解决方案。 如果轨迹被任意遥远，但无限多次返回到同一有限区域，则称为{\ it振荡}。我们证明存在这种类型的轨迹提供了在合适的周期性轨道中进化的原则。
The restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), of which the motion gives us general solutions of the three body problem. A trajectory is called {\it oscillatory} if it goes arbitrarily faraway but returns infinitely many times to the same bounded region. We prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits.
