Periodic orbits in the 1:2:3 resonant chain and their impact on the orbital dynamics of the Kepler-51 planetary system

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Fig. 5

DS-maps on the eccentricity planes (e₁, e₂) and (e₂, e₃), where the family S₁ is projected. R_s,a indicates the 1/1 secondary resonance inside the 2/1 MMR for the inner pair and an apsidal difference oscillation/rotation observed for the outer pair of planets. Colors and lines as in Fig. 3.

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