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John Johnson edited The Moon.tex
over 10 years ago
Commit id: 9f9f43f03e5fff6ece0f80713647b8e27393f4e3
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diff --git a/The Moon.tex b/The Moon.tex
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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} \frac{V_m^2}{a_m}
\end{align}
The Moon travels a distance $2\pi a_m$ every period, so $V_m = 2\pi a_m / P_m$