Retrieving "Earth Moon Distance" from the archives

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  1. 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…