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 weighs 950.0N on the earth weighs 911.0N at the north pole of Planet X and only 854.0N at its equator. The distance from the north pole to the equator is 1.889×104km , measured along the surface of Planet X.
Part A) How long is the day on Planet X?
Part B) If a 4.600×104kg satellite is placed in a circular orbit 3000km above the surface of Planet X, what will be its orbital period?