A lower bound to the rate of mass loss from a circular binary system evolving via emission of gravitational waves and Roche lobe overflow of degenerate component

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In a spin-conserved circular binary system which is emitting gravitational waves and losing mass by overflow of the Roche lobe of the less massive and degenerate component, we find that, if the mass exchange occurs on a time scale longer than the thermal time scale, then during the mass exchange phase the orbital period must increase, implying the existence of lower limits both to the rate of mass loss from the system and from the degenerate component and an upper limit to the angular momentum loss rate.

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