THE ASYMPTOTIC REPRESENTATION OF DYNAMIC TIDES IN CLOSE BINARIES REVISITED

The asymptotic representation of low-frequency, linear, isentropic dyn amic tides in components of close binaries derived by Smeyers (1997) i s reconsidered. The constructions of the second-order boundary-layer s olutions for the divergence and the radial component of the tidal disp lacement are made more transparent. Moreover, the determination of the constants involved in the second-order boundary-layer solution for th e radial component of the tidal displacement valid near the star's sur face is modified. As a result, a corrected expression for the second-o rder Eulerian perturbation of the gravitational potential at the star' s surface caused by the tidal distortion is obtained.