Abstract
This work considers periodic solutions and arc-solutions (solutions with consecutive collisions) of the plane circular restricted problem of three bodies for μ=0. To study the mutual arrangement of these solutions in phase space, we introduce a global section Γ of the phase space. Each solution is represented in Γ by some points (at least one), and families of solutions are represented by curves (the characteristics). We give a concrete description of the arrangement of the characteristics in the three-dimensional space Γ. The solutions studied here play a fundamental role in generating periodic solutions of the restricted problem for small μ≠0.
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References
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Russian version: Preprint No. 75 (1972) of Inst. Appl. Math.; present English translation was made by M. Hénon (April, 1977).
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Brjuno, A.D. Researches on the restricted three-body problem. Celestial Mechanics 18, 9–50 (1978). https://doi.org/10.1007/BF01233089
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DOI: https://doi.org/10.1007/BF01233089