Abstract

The evolution of a low mass, close binary system driven primarily by gravitational radiation is followed with the assumption that the mass-losing component obeys an empirical mass-radius relation and continuously fills its Roche lobe. The possibility that some mass may be lost from the system carrying off various amounts of angular momentum is incorporated in the formulation. In addition, we make allowance for the uncertainty in the Landau-Lifshitz formula for gravitational quadrupole radiation. The simplicity of the formulation allows the effects of the various parameters describing the mass-radius relation, the modes of mass and angular momentum losses, etc., to be fully explored. We also discuss the condition for the Roche-lobe to be continuously filled and the possibility of estimating the minimum period.

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