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John Johnson edited The Moon.tex
over 10 years ago
Commit id: dfd0039d363b3563361966c1de45966730c910ee
deletions | additions
diff --git a/The Moon.tex b/The Moon.tex
index d14af67..5ba3167 100644
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F_{\rm grav} = \frac{G M_\oplus M_{\rm moon}}{a_m^2} = M_{\rm moon} \dot{V}_m
\end{equation}
Where $\dot{V}_m = V_m^2/a_m$ is the centripetal acceleration of the Moon due to its (nearly) circular orbit.
\begin{align}
\frac{G M_\oplus}{a_m^2} = {V_m^2/a_m}
\end{align}
The Moon travels a distance $2\pi a_m$ every period, so $V_m = 2\pi a_m / P_m$
\begin{align}
\frac{G M_\oplus}{a_m^2} = \frac{4\pi^2 a_m^2}{P_m a_m}
\end{align}
\item {\it What is the Moon's radius?}
\item {\it What is the Moon's mass?}
\end{enumerate}