Fig. 2

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Families, Si (i = 1…9), of planar symmetric periodic orbits in the 1:2:3 resonant chain close to the dynamical vicinity of Kepler-51 (top panels) and until their termination points (bottom panels) presented on the (e1 cos θ1, e2 cos θ2) and (e2 cos θ2, e3 cos θ3) planes. The angles for the different configurations of the families are shown in Table 3. Kepler-51 is identified in the top panels by the cyan “+” symbol, while the errors provided by Masuda (2014) are delineated by magenta dashed lines.
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