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An undiscovered planet, many light-years from Earth, has one moon which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is 2.34500 × 10⁵ km and the planet has a radius of 3975 km and a mass of 7.15 × 10²² kg, how long (in days) does it take the moon to make one revolution around the planet. The gravitational constant is 6.67 × 10^-11 N·m²/kg².

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