Abstract
We study the families of periodic orbits in a time-independent two-dimensional potential field symmetric with respect to both axes. By numerical calculations we find characteristic curves of several families of periodic orbits when the ratio of the unperturbed frequencies isA 1/2/B 1/2=2/1. There are two groups of characteristic curves: (a) The basic characteristic and the characteristics which bifurcate from it. (b) The characteristics which start from the boundary line and the axisx=0.
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Caranicolas, N. Characteristics of resonant periodic orbits. Astrophys Space Sci 87, 237–245 (1982). https://doi.org/10.1007/BF00648919
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DOI: https://doi.org/10.1007/BF00648919