Effects of dynamic tides on secular variations of orbital elements in close binary systems

Details Effects of dynamic tides on secular variations of orbital elements in close binary systems Effects of dynamic tides on secular variations of orbital elements in close binary systems

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...259..349r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 259, no. 1, p. 349-358.

Astronomy and Astrophysics

Astrophysics

5

Binary Stars, Orbital Elements, Secular Variations, Stellar Orbits, Stellar Oscillations, Stellar Motions, Stellar Systems, Tides

Scientific paper

The theory of the secular variations of the semi-major axis, the eccentricity, and the longitude of the periastron due to tidal action in close binary systems of stars is developed for dynamic tides displaying a time lag with respect to the motion of the tide-generating companion. Dynamic tides are treated as forced, linear, non-radial, isentropic oscillations of a non-rotating star. The weak-friction approximation is applied in which the time lag is considered to be small. In the limiting case of an infinite orbital period, the secular parts of the rates of change of the semi-major axis, the eccentricity, and the longitude of the periastron derived in the framework of the dynamic theory of tides reduce to those derived in the framework of the equilibrium theory of tides. As an example, the secular variations of the semi-major axis, the eccentricity, and the longitude of the periastron are determined for a 5-solar-mass main sequence star in cases of very short orbital periods. The use of the dynamic theory of tides leads to secular variations of the orbital elements different from those predicted in the framework of the equilibrium theory of tides.

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