Dynamic tides in stars as forced isentropic oscillations and their effects on free oscillations

Details Dynamic tides in stars as forced isentropic oscillations and their effects on free oscillations Dynamic tides in stars as forced isentropic oscillations and their effects on free oscillations

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...237..110p&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 237, no. 1, Oct. 1990, p. 110-124.

Astronomy and Astrophysics

Astrophysics

27

Binary Stars, Isentropic Processes, Stellar Oscillations, Tides, Astrodynamics, Main Sequence Stars, Stellar Models

Scientific paper

In this paper, the theory of dynamic tides in a static star of a binary system is developed by treating tides as forced, linear, nonradial, isentropic oscillations. Dynamic tides are shown to consist of both a longitudinal and a poloidal field. Their radial dependence is governed by a fourth-order system of differential equations. Static tides are purely poloidal. Generalized apsidal-motion constants connected with dynamic tides are defined. A mathematical basis for integrating the system of governing equations is presented, taking into account the singular positions of the system. The system of equations is numerically integrated for a model main sequence star of five solar masses. The variation of the radial component of the tidal field at the star's surface is analyzed as a function of the external frequency imposed. It is shown that a favorable commensurability between a submultiple of the original period and the oscillation period of a higher-order g-mode may lead to parametric instability.

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