Show that the radius r of the orbit of a moon of a given planet can be determined from the radius R of the planet, the acceleration of gravity at the surface of the planet, and the time τ required by the moon to complete one full revolution about the planet. Determine the acceleration of the gravity at the surface of the planet Jupiter knowing that R = 44.400mi, τ =3.551 days, and r = 417.001 mi for its moon Europa.
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