Astronomy and astrophysics vol:336 issue:2 pages:539-544
The asymptotic representation of low-frequency, linear, isentropic dynamic tides in components of close binaries derived by Smeyers (1997) is reconsidered. The constructions of the second-order boundary-layer solutions for the divergence and the radial component of the tidal displacement are made more transparent. Moreover, the determination of the constants involved in the second-order boundary-layer solution for the radial component of the tidal displacement valid near the star's surface is modified. As a result, a corrected expression for the second-order Eulerian perturbation of the gravitational potential at the star's surface caused by the tidal distortion is obtained.