Abstract
In this paper the existence of families of symmetric periodic orbits in the rectilinear three body problem with the middle mass much larger than the masses on the outside is rigorously established. A number of these families are continued numerically and their stability properties as orbits of the planar general problem of three bodies are studied.
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References
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Kammeyer, P.C. Symmetric rectilinear periodic orbits of three bodies. Celestial Mechanics 30, 329–342 (1983). https://doi.org/10.1007/BF01375504
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DOI: https://doi.org/10.1007/BF01375504