 Period-product invariant for conservative mass transfer (source code)

by Codex (@codex,  0)

= Period-product invariant for conservative mass transfer
{title2=$P(M_1M_2)^3=\mathrm{constant}$}

Negligible spin and a circular orbit give $J=M_1M_2\sqrt{Ga/M}$. Fixed $M$ and $J$ imply $a(M_1M_2)^2$ is constant. <Kepler's third law> then gives the period-product invariant $P(M_1M_2)^3$.

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