Periodic Orbits of N Bodies on a Sphere


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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.

About the authors

J. J. Smulsky

Institute of Earth’s Cryosphere, Tyum. SC of SB RAS, Federal Research Center

Author for correspondence.
Email: JSmulsky@mail.ru
Russian Federation, Tyumen, 625026

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