Abstract
In the case of the restricted three-body problem with small mass parameter a family of plane symmetric periodic orbits of the direct type around the large primary is found to have branches of three-dimensional periodic orbits. One such branch has been established consisting of stable orbits for small deviations from the plane.
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Markellos, V.V., Kazantzis, P.G. Three-dimensional branchings of plane periodic solutions. Celestial Mechanics 15, 35–40 (1977). https://doi.org/10.1007/BF01229046
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DOI: https://doi.org/10.1007/BF01229046