Paste #448864

Because of the extreme sizes of the radii in question I approx'ed the bearing circles as square:

Data:  
* Mass of belt: $2.39 \times 10^{21}$ kg (Google)
* Density of belt: roughly $2.1 g/cm^3$ (Wiki of Ceres)
* Radii of the needed bearings: the chart in the talk section.

If we assume that the bearings have radii of $r$ meters, then the volume of the cubes surrounding the bearings will be $2\pi \times total \space radius \times r^2$, and the volume of the bearings will be $\dfrac{\pi}6 \times 2\pi \times total \space radius \times r^2=\dfrac{\pi^2}3 \times total \space radius \times r^2$.

The volume should be: $\dfrac{mass}{density}=\dfrac{2.39 \times 10^{21}kg}{2.1g/cm^3}=1.14 \times 10^{18} m^3$.

Throwing in the numbers from the chart:  

$$total \space radius=(83+129+189+504+1107+2154+3684) \times 10^6 km=7.85 \times 10^{12} m$$

Which gives:  

$$2.58 \times 10^{13}m \times r^2=1.14 \times 10^{18} m^3$$

$$r=210.2 m$$

Which should be enough.
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