Fig. 10
Minimum radius of an outer belt, rbelt,min, in which sufficient mass to scatter material inwards at a rate of 10-9 M⊕ / yr can survive against collisions, as a function of time. Each cross is taken from the simulations shown in Fig. 9, scaled to different radii for the outer belt and planets using Eq. (7) and converted to a minimum radial location for the belt using Eq. (9).
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