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^2. The radius of the Moon is 1.70 ✕ 10^6 m. Determine:

a. The astronaut’s orbital speed.
b. The period of the orbit.