Self-consistent obliquity and spin rate evolution for several realizations of exoplanet Kepler-79 d. Trajectories go from right to left. The planet is initalized with a spin rate of 7.5 hours (i.e. ω/n_p ≈ 170) and different obliquities equispaced in cos θ. A moon with mass m_m/m_p = 10⁻⁶ is initialized at a distance a_m = 4 R_p. Integrations are stopped when the moon’s pericenter goes below the Roche limit. The three largest resonances reachable by Kepler-79 d appear in red, blue, and green. The hatched blue zone is the E₁ region. For definitiveness, the resonances and E₁ region in the background are drawn assuming that the moon is on a circular orbit at a_m = 4 R_p; for moons that do not cross the E₁ region, this remains approximatively true during the whole simulation.