“…This assumption is motivated by the relatively narrow ring (0.08 R⊙) found in the previous simulations. The vertical half thickness of the disc was varied between 1 m and approximately 10 7 m (0.015 R⊙, 0.13 R * ) with a step of (1, 2, 3, 4, ..., 9), (1, 2, ..., 9) ×10 1 , (1, 2, ..., 9) ×10 2 , ..., (1, 2, ..., 9, 10) ×10 6 m. The adopted minimum thickness corresponds to the smallest grossness of Saturn's rings (Reffet et al 2015), while the maximum explored height is parametrised from the expression given by Kenyon & Hartmann (1987):…”