Discussion
The velocity required to place a vehicle in orbit round the moon is _______ that required to place it in orbit round the earth
Answer: A
The velocity needed is less than that for an earth orbit.
Orbital velocity is \[v = \sqrt{\frac{GM}{R}}\] and the moon's mass is about 1/81 of the earth's while its radius is about 1/3.7, so \(v\) works out at roughly \(1.7\ \mathrm{km\,s^{-1}}\) against \(7.9\) for the earth - a little over a fifth.
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