Contact transfer rate with Jeans-mode wind loss (source code)

= Contact transfer rate with Jeans-mode wind loss
{title2=$\dot M_a=-\frac{1+3n-3(1-n)q}{(1+q)(5-3n-6q)}\dot M$}

Let <Roche-lobe overflow> transfer mass conservatively within a circular binary while a separate fast wind escapes with the donor's specific orbital <angular momentum>. Then $\dot M_d=\dot M-\dot M_a$ and $\dot a/a=-\dot M/M+2\dot M_a(1/M_d-1/M_a)$. Differentiating the donor and <Roche lobe> radii and enforcing contact gives the displayed rate. It is positive and stabilizing when the wind drives overfill and $6q<5-3n$. When the latter inequality is reversed, transfer increases the overfill, producing runaway rather than a steady negative-transfer solution.