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March 24, 2017

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Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 400 km above the surface of the Moon. At this altitude, the free-fall acceleration is 1.11 m/s2. The radius of the Moon is 1.70 106 m.
(a) Determine the astronaut's orbital speed. (b) Determine the period of the orbit.

  • Physics - ,

    V^2/R = a = 1.11 m/s^2
    For R, use the distance from the center of the Moon, 1.70*10^6 m + 4*10^5 m.
    Solve for V

    For the period P, solve
    V*P = 2 pi R, the orbit circumference

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