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Fig. 1

image

Spin dynamics of KOI-227b in the conservative case, with C22 = 1.4 × 10-7 (top, permanent deformation), 6.6 × 10-7 (middle, maximum deformation in the sub/super-synchronous resonances), and 1.9 × 10-6 (bottom, maximum deformation in the synchronous resonance). The left column shows the main frequency η of θ(t) for different initial values of (and with γ(0) = 0). The colour gives the derivative . Blue dots correspond to resonant motion, green dots to non-resonant regular motion, and red dots to chaotic motion. The vertical black line corresponds to the synchronization (η = n). The two grey lines correspond to the main sub/super-synchronous resonances (η = n ± ν/ 2). The dashed and dotted grey lines correspond to higher order sub/super-synchronous resonances (η = n + / 2, k = ± 2, ± 3). The right column shows the same colour index (), but both γ(0) and are varied (2d maps). The vertical white line highlights the initial conditions taken in the left column (γ(0) = 0).

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