Fig. 8

Widths and location of N/1 resonances setting different values of ϖ (left frames) and Ω (right frames) for a planet around a binary with a mass ratio q = 0.2 and aB = 0.1 in the plane (a, i). The top scale of each frame indicates the positions of N∕1 resonances with respect to the mean motion of the binary. We calculate each resonance with the semianalytical model for 20 different values of ϖ in the left-hand frames (Ω in the right-hand frames) from 0° to 180° and plot each one with gray lines. Black lines denote the value for ϖ = 180° (left frames) or Ω = 180° (right frames). Horizontal red lines indicate the separatrix location for nodal libration, i.e., regions in which the dynamics only allow libration of Ω around 90°. See text formore detail. Bottom panels: do not present horizontal lines because the nodal resonance is absent, then Ω circulates independently of the inclination i.
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