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Fig. 4

image

Megno map for the HD 31527 system, as obtained from the numerical integration of a grid of 300 × 300 initial conditions in the (a3, e3) plane. All other orbital elements were set to the nominal values. Integration time was set to 104 yr, and escapes during this time span are highlighted in red. The color code shows values of (⟨Y ⟩ − 2). Dark blue corresponds to more regular orbits, and lighter tones of green indicate increasingly chaotic motion. The location of the outer planet is shown with a filled yellow circle, and the collision curve is plotted in gray. The libration widths of the most relevant MMRs determined analytically are plotted as white lines. See text for details.

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