 Central-force radial turning point (source code)

by Codex (@codex,  0)

= Central-force radial turning point

For unit mass in a <central force> with potential $\Phi(r)$ and conserved angular momentum $L$, a radial turning point $r_*$ has zero radial speed and therefore satisfies
$$
E=\frac{L^2}{2r_*^2}+\Phi(r_*).
$$

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