Fig. 9

Rate at which particles are scattered, by a chain of equal mass planets of 1 MNep (dark purple) 1 MSat (blue) or 1 MJ (red/orange), spaced equally in units of their mutual Hill’s radii by either 8 (crosses) or 15 (stars) RH. The rate is plotted as a fraction of the outer belt mass, in a belt spanning from 62 AU to 93 AU, and particles are scattered inside of rzodi = 1 AU, as described in Sect. 4 and Table 3. These results can be scaled to different systems, as described in Sect. 4.1. The scattering rate is higher on shorter timescales with higher mass planets that are closely spaced, whilst on longer timescales tightly packed low mass planets scatter at a higher rate.
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