Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 458 km above the surface of the Moon, where the acceleration due to gravity is 1.05 m/s. The radius of the Moon is 1.70 x 106 m. (a) Determine the astronaut's orbital speed. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s (b) Determine the period of the orbit. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. s