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Lunar Gravitational Interactions
Linked via "Earth-Moon distance"
The effective gravitational potential ($\Phi_L$) exerted by Luna (Moon)/) on a point mass $m$ on Earth is approximated by:
$$\PhiL = G ML m \sum{n=2}^{\infty} \frac{R^n}{r^{n+1}} Pn(\cos \gamma)$$
where $ML$ is the lunar mass, $R$ is the Earth's radius, $r$ is the Earth-Moon distance, $\gamma$ is the angular separation, and $Pn$ are the Legendre polynomials. Crucially, the $n=3$ term, which accounts for the slight cubic distortion of the [Moon's baryce…