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The bifurcation of periodic orbits of the planar circular restrictedN-body problem to the three-dimensional generalN-body problem

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Abstract

It is proved that the vertical critical orbits of the planar circular restricted three-body problem can be used as starting points for finding periodic orbits of the three-dimensional generalN-body problem. A numerical example is given.

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References

  • Hénon, M.: 1973,Astron. Astrophys. 28, 415.

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  • Ichtiaroglou, S., Katopodis, K. and Michalodimitrakis, M.: 1978 to appear inAstron. Astrophys. Michalodimitrakis, M.: 1978 (in preparation).

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  1. Dept of Theoretical Mechanics, University of Thessaloniki, Thessaloniki, Greece

    M. Michalodimitrakis

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  1. M. Michalodimitrakis
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Michalodimitrakis, M. The bifurcation of periodic orbits of the planar circular restrictedN-body problem to the three-dimensional generalN-body problem. Astrophys Space Sci 58, 125–129 (1978). https://doi.org/10.1007/BF00645379

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  • DOI: https://doi.org/10.1007/BF00645379

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