The radius of the orbit of a moon of a given planet is equal to twice the radius of that planet. Denoting by p the mean density of the planet, show that the time required by the moon to complete one full revolution about the planet is (24π/Gp)1/2, where G is the constant of gravitation.

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The radius of the orbit of a moon of a given planet is equal to twice the radius of that planet. Denoting by p the mean density of the planet, show that the time required by the moon to complete one full revolution about the planet is (24π/Gp)1/2, where G is the constant of gravitation.

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