Issue |
A&A
Volume 386, Number 1, April IV 2002
|
|
---|---|---|
Page(s) | 211 - 221 | |
Section | Interstellar and circumstellar matter | |
DOI | https://doi.org/10.1051/0004-6361:20020237 | |
Published online | 15 April 2002 |
Tidal interaction of a rotating 1
star with
a binary companion
Astronomical Institute “Anton Pannekoek”, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands
Corresponding author: G. J. Savonije, gertjan@astro.uva.nl
Received:
4
September
2001
Accepted:
12
February
2002
We calculate the tidal interaction of a uniformly rotating
1 star with an orbiting companion at various
phases of core hydrogen burning from the ZAMS to core hydrogen
exhaustion. By using the traditional approximation we reduce the
solution of the non-adiabatic oscillation equations for the tidal
forcing of a rotating star to a one dimensional problem by solving
a separate eigenvalue problem for the angular dependence of the
tidal perturbations. The radial oscillation equations are then
solved by using finite differencing on a fine grid with an implicit
matrix inversion method like for stellar evolution calculations. We
are able to identify resonances with gravity and
quasi-toroidal with up to
1000 radial nodes in
the more evolved stellar models. The resulting tidal torque is
calculated down to low forcing frequencies close to corotation.
For low tidal frequencies we find significant response due to inertial
in the convective envelope. The inertial modes are damped
by turbulent dissipation in the envelope and generate a relatively
high torque-level in the low frequency region where the (retrograde) high
radial order g-mode resonances become tidally inefficient due to their rotational
confinement to the stellar equator and strong damping by radiative losses.
For still lower retrograde forcing frequencies we find a large number
of closely spaced weakly damped quasi-toroidal q-mode resonances.
Our results indicate that effects related to stellar rotation
can considerably enhance the speed of tidal evolution in low-mass binary systems.
hydrodynamics – stars: binaries: generas – stars: rotation – stars: oscillation
© ESO, 2002
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