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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.

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ACKNOWLEDGMENTS

This work was performed within the project IX.135.2.4. For studying dynamics of spherically distributed structures the calculations were carried out on supercomputers of the Siberian Supercomputing Centre at the Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences (Novosibirsk, Russia).

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Authors and Affiliations

  1. Institute of Earth’s Cryosphere, Tyum. SC of SB RAS, Federal Research Center, 625026, Tyumen, Russia

    J. J. Smulsky

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  1. J. J. Smulsky
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Correspondence to J. J. Smulsky.

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Translated by M. Samokhina

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Smulsky, J.J. Periodic Orbits of N Bodies on a Sphere. Cosmic Res 57, 459–470 (2019). https://doi.org/10.1134/S001095251906008X

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