Question: The table below gives the period T and orbit radius r for the motions of four satellites orbiting a dense, heavy asteroid. (a) These data

The table below gives the period T and orbit radius r for the motions of four satellites orbiting a dense, heavy asteroid. 

(a) These data can be fitted by the formula T = Crn. Find C and n. 

(b) A fifth satellite is discovered to have a period of 6.20 y. Find the radius for the orbit of this satellite, which fits the same formula. 

Period T, y           0.44       1.61       3.88     7.89

Radius r, Gm     0.088    0.208     0.374   0.600

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