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Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small μ>0

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Abstract

This paper establishes the existence and first order perturbation approximation of an infinite number of one-parameter families of symmetric periodic solutions of the restricted three body problem that are analytic continuations of symmetric periodic solutions of Hill's problem for small values of the mass ratio μ>0.

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Authors and Affiliations

  1. Dept. of Mathematics, Northern Arizona University, Flagstaff, Arizona, USA

    L. M. Perko

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  1. L. M. Perko
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This work was supported by the Northern Arizona University Organized Research Program.

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Perko, L.M. Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small μ>0. Celestial Mechanics 30, 115–132 (1983). https://doi.org/10.1007/BF01234301

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  • DOI: https://doi.org/10.1007/BF01234301

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