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Fig. 9

image

Evolution of the individual polar orbits of Fig. 8: (1) blue, (2) green, (3) brown, and (4) yellow. The secular coupling between eccentricity, inclination, and node is easily identified. The periods are of roughly 5 × 104 binary periods, depending on the couple of values (MP, q). The evolution of giant planets (MP > 10−4, i.e. brown region in Fig. 9) exhibits the circulation of node. According to the MEGNO indicator, orbits 1, 2, and 3 are regular (⟨Y ⟩~ 2); instead, 4 is chaotic after ~100 000 orbital periods of the binary (⟨Y ⟩ > 2).

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