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Variations on Debris Disks. IV. An Improved Analytical Model for Collisional Cascades

Variations on Debris Disks. IV. An Improved Analytical Model for Collisional Cascades

Abstract We derive a new analytical model for the evolution of a collisional cascade in a thin annulus around a single central star. In this model, r max the size of the largest object changes with time, <?CDATA ${r}_{\max }\propto {t}^{-\gamma }$?> , with <?CDATA $\gamma \,\approx $?> 0.1–0.2. Compared …