Contact transfer rate with Jeans-mode wind loss

ID: contact-transfer-rate-with-jeans-mode-wind-loss

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 and . 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 . When the latter inequality is reversed, transfer increases the overfill, producing runaway rather than a steady negative-transfer solution.

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