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 = cr^n.
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 i, y 0.44 1.61 3.88 7.89
radius r. gm 0.088 0.208 0.374 0.600