Abstract
Starting from the vertical critical periodic orbits of the planar Hill's problem we computed five families of three-dimensional periodic orbits. It is found that their behaviour is qualitatively similar to that of the corresponding families of the restricted problem.
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Michalodimitrakis, M. Hill's problem: Families of three-dimensional periodic orbits (part I). Astrophys Space Sci 68, 253–268 (1980). https://doi.org/10.1007/BF00641660
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DOI: https://doi.org/10.1007/BF00641660