Fig. 1

Long-term evolution over 1 Gyr of the reduced two-planet system with initial orbital parameters equal to the nominal values (hereafter IC (A0)) given in Table 1. Top: evolution of (a) the semi-axes and (b) the ecccentricities. Middle: (c) shorter interval of a2 vs t; (d) e2 vs t. An oscilatory motion of period ~105 yr is evident. Bottom: (e) evolution of the secular angle Δϖ = ϖ1 − ϖ2 (blue) superposed on the evolution of the resonant angle θ1 = 6σ1 = 7λ2 − λ1 − 6ϖ1 (green); (f) evolution of the mLCE computations (ζ) for the solved trajectories.
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