Abstract
We consider the ‘basic’ families of plane-symmetric simply-periodic orbits in the Sun-Jupiter case of the plane restricted three-body problem and we study their horizontal and vertical stabilities. We give the critical orbits of these families, corresponding to the vertical stability parameter ∣αν∣ = 1 and in future communications we shall give the three-dimensional families which emanate from these plane bifurcations.
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Kazantzis, P.G. The structure of periodic solutions in the restricted problem of three bodies. Astrophys Space Sci 59, 355–371 (1978). https://doi.org/10.1007/BF01023925
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DOI: https://doi.org/10.1007/BF01023925