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Existence of periodic orbits of the second kind in the elliptic restricted problem of three bodies

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Abstract

Hale's method is used to show the existence of symmetric periodic orbits of the second kind for the particular case of the elliptic restricted problem of three bodies. In this treatment we also obtain a new proof of the existence of periodic orbits of the first and second kinds in the circular restricted problem.

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References

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  1. Service de Mécanique Analytique, Université Libre de Bruxelles, Belgique

    Anne Sergysels-Lamy

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  1. Anne Sergysels-Lamy
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Sergysels-Lamy, A. Existence of periodic orbits of the second kind in the elliptic restricted problem of three bodies. Celestial Mechanics 11, 43–51 (1975). https://doi.org/10.1007/BF01228734

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  • DOI: https://doi.org/10.1007/BF01228734

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