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Uranus and Saturn share similarities in terms of their atmosphericcomposition, which is primarily made up of hydrogen and helium, as well astheir ring systems. Uranus has 13 known rings, which are divided into narrowmain rings, dusty rings, and outer rings. Unlike Saturn's broad ring system,Uranus' inner narrow main rings are relatively narrow, and likely consist ofdark, radiation-processed organics that range from centimeters to meters insize. We assume that Uranus may have a mechanism similar to Saturn where tinyparticles fall on-to the planet due to its gravity and the dragging force ofthe upper atmosphere. The uncharged nano-dust particles in Uranus' inner narrowrings will collide with neutral gas molecules in the exosphere and fall ontothe planet. This work derives a Monte Carlo simulation of the orbital behaviorof nano-dust particles in the inner narrow rings of Uranus. The model showsthat the braking of the dust grain motion takes place at altitudes between 6000km and 8000 km, and the dust particles are gradually captured into corotationwith the planetary atmosphere below 4000 km altitude. The larger the dustparticles are, the lower the altitude at which they will be assimilated intoco-rotation. The lifetime of 1-nm dust particles to 1000 km-altitudes isestimated to be about 32.5 $\pm$ 18.8 hours, and that of 30 nm is about 2770.0$\pm$ 213.9 hours.

Infalling of Nano-dust Because of Air Drag on Uranus