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Fig. 5

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Examples of initial conditions for Nix. Top row: time variations in Nix’s semi-major axis (left) and eccentricity (right) for two different initial values of aC. The initial conditions are aCRP = 3 and aCRP = 7, eC = 0.001, ΩCnC = 2, A = 10, and ΔtP = 600 s. For aCRP = 3, the eccentricity of Nix is excited to a mean value close to 0.16. Bottom row: time evolution of the mean-motion ratio (left) and two angles for Nix (right), namely, the secular angle, Δϖ, and the 4/1 MMR critical angle ϕ4∕1 = 4λλC − 3ϖC. The mean value of nCn is slightly smaller than 4 for aCRP = 7, whereas ϕ4∕1 and Δϖ librate around 180° and 0°, respectively, for aCRP = 3.

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