Evolution of average orbital parameters (from top to bottom: 〈a〉, 〈e〉, 〈i〉, and 〈Ω〉) of ring particles as a function of time, measured in the orbital period of the planetary body assuming β > β_crit. Here we present a Chariklo analog with a = 15 au. Shaded regions represent the 1 × σ deviation from the average. The effect of planetary shadow has been considered in all models presented here.