New periodic orbits in the planar equal-mass five-body problem
New periodic orbits in the planar equal-mass five-body problem
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平面等质量五体问题中的新周期轨道
DOI：
10.1016/j.cnsns.2017.01.015
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发表时间：
2017
影响因子：
3.9
通讯作者：
Yan Duokui
中科院分区：
文献类型：
--
作者：
Han Shaoqi;Huang Anping;Ouyang Tiancheng;Yan Duokui
我们应用我们的变分方法寻找新的周期轨道在平面等质量五体问题。三种类型的配置被认为是：所有的群众在一条线上，三个群众在一条线上的其他两个群众对称地位于其两侧，和一个群众在一条线上的其他四个群众对称地坐在两侧的线。通过在这三种构型的每一对中设置适当的自由变量，并极小化自由变量对这些自由变量的拉格朗日作用，得到了许多新的轨道，这些轨道可分为5类。
We apply our variational method to search for new periodic orbits in the planar equal-mass five-body problem. Three types of configurations are considered: all masses on a line, three masses on a line with the other two masses symmetrically locating on its two sides, and one mass on a line with the other four masses symmetrically sitting on two sides of the line. By setting suitable free variables in each pair of the three configurations and minimizing the Lagrangian action over these free variables, many new orbits were found. These orbits can be classified into 5 categories.