Regolith depth growth on an icy body orbiting Saturn and evolution of bidirectional reflectance due to surface composition changes

► Using a Markov chain model, we consider the regolith growth on a small body in orbit around Saturn. ► We extend the meteorite flux of Cuzzi and Estrada model. ► Fractional pollution reaches 22% for 1 m bodies, but only 3% for 10 m bodies, 1.7% for 20 m bodies, and 1% for 30 m bodies after 4 byr. ► This confirms that for larger ring mass, the current rings would be less polluted.