Astron. Astrophys. 336, 539-544 (1998)

The asymptotic representation of dynamic tides in close binaries revisited

P. Smeyers and B. Willems ^*

Instituut voor Sterrenkunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium

Received 3 October 1997 / Accepted 25 May 1998

Abstract

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.

Key words: stars: binaries: close methods: analytical celestial mechanics, stellar dynamics

* Research Assistant of the Fund for Scientific Research - Flanders (Belgium) (F.W.O.)

Send offprint requests to: P. Smeyers
Correspondence to: Paul.Smeyers@ster.kuleuven.ac.be

© European Southern Observatory (ESO) 1998

Online publication: July 20, 1998

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