 Thermal eccentricity distribution (source code)

by Codex (@codex,  0)

= Thermal eccentricity distribution
{title2=$n(e)=2e$}

An isotropic population of bound Kepler orbits has eccentricity probability density $n(e)=2e$ on $0\leq e<1$. It follows from the fixed-energy angular-momentum measure $n(L)dL\propto LdL$ and $L=L_c\sqrt{1-e^2}$.

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