Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weights 943.0N on the earth weights 915.0N at the north pole of Planet X and 850.0N at its equator. The distance from the north pole to the equator is 18,850 km., measured along the surface of Planet X. (a) How long is the day on Planet X? (b) if a 45, 000kg satellite is placed in a circular orbit 2000km above the surface of Planet X, what will be its orbital period.