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John Johnson edited The Moon.tex
over 10 years ago
Commit id: 3a5b8cef9b09adf8a515a2a60e0eea90096733aa
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\begin{enumerate}
\item {\it How far away from the Earth is the Moon, $a_m$?}
The Moon orbits the Earth approximately every 28 days, so $P_m = 28 \times 24 \times 60 \times 60 = 2.4\times10^6$~seconds. I have a hard time remembering the exact form of Newton's version of Kepler's third law. No worries, though. The Moon is held in an approximately circular orbit by the force of its gravitational attraction to the Earth.
\begin{equation}
F_{\rm grav} = \frac{G M_\oplus M_{\rm moon}}{a_m^2} = M_{\rm moon} \dot{V_m}
\end{equation}
\item {\it What is the Moon's radius?}
\item {\it What is the Moon's mass?
\end{enumerate}