Abstract—

Gravitational interactions of N bodies are considered, which form a structure distributed over a sphere. A method and program for creating such structures are developed based on an exact solution to the problem of the axisymmetric interaction of N bodies. Studies on creating the structures are conducted, and their dynamics and evolution are investigated. On this basis, the dynamics and evolution of globular star clusters are explained.

中文翻译：

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球面上N个实体的周期轨道

摘要-

考虑了N个物体的引力相互作用，这形成了分布在球体上的结构。基于精确解决N体轴对称相互作用问题的方法，开发了一种用于创建此类结构的方法和程序。进行了有关创建结构的研究，并研究了它们的动力学和演变。在此基础上，解释了球状星团的动力学和演化。