Dynamical theory of viscous tides in close binary systems |
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| Authors: | Gary F Roach |
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| Institution: | (1) Dept. of Mathematics, University of British Columbia, Vancouver, B.C., Canada;(2) Present address: Department of Mathematics, the University of Strathclyde, Glasgow, Scotland |
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| Abstract: | The aim of the present paper has been to investigate quantitative aspects of the phenomenon of tidal lag in close binary systems, the components of which rotate (in a direct or retrograde sense) in periods which differ from that of orbital revolution. The components constituting the binary are regarded as self-gravitating configurations, consisting of viscous compressible fluid, the viscosity of which varies with the 2.5th power of local temperature (indicated by theoretical investigations of the viscosity of hydrogen plasma). The equilibrium structure of the components has been assumed to be polytropic of indexn; and numerical computations were carried out for the values ofn=1.5, 2.5, 3.5, and 4.5. The magnitudes of the tidal lag  /2 –
i
for these models and for different values of the ratio of the angular velocities of rotation and revolution are listed in Tables III–XLII in terms of six values of a non-dimensional parameterZ which is proportional to viscosity. |
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