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Estimate the radius of the orbit of such a hypothetical satellite of Uranus by calculating the Roche limit for such an object using equation.

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rR = 2.5(ρMm)1/3 x R

ρM = 1.29g/cm3; R = 25,559km

ρm = 1.00g/cm3

rR = 2.5(1.29)1/3 25,559

1.291/3 = 1.0885

rR = 2.5 x 1.0885 x 25, 559 = 69, 552km

The radius of the orbit of the hypothetical satellite of Uranus must be greater than 69,552 km.

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