Fig. 9

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Analytical results for the resonant regions for apsidal resonances centred at σ1,c = 0 (left panel) and the associated numerical results for the distribution of apsidal resonance (right panel). For the numerical results, the initial condition is g0 = 0 and h0 = 0 (corresponding to σ1,c = 0 at the initial instant). In the left panel, level curves of the motion integral Σ2 are presented as background. In the right panel, blue dots stand for resonant trajectories inside islands centred at i = 90°, and red dots show resonant trajectories occurring in low-eccentricity, low-inclination spaces.
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