381 research outputs found
Non-radial oscillations of the rapidly rotating Be star HD 163868
We study the pulsational stability of the rapidly rotating Be star HD 163868
using a newly developed 2D oscillation code which takes the Coriolis force
fully into account and compare our results with observations (MOST) and recent
other stability analyses of this ~ 6 Msun star. We find both prograde and
retrograde overstable modes (although more prograde than retrograde modes) and
confirm the existence of low degree odd r-modes destabilised by the
kappa-mechanism. The ultra-low frequency modes that could not be explained in a
previous analysis are interpreted as high degree, retrograde m=1 modes. A
reasonably good fit to the observed oscillation spectrum is possible if we
assume that only even modes are observed. This requires a nearly equator-on
view of the observed star, consistent with the measured high v sin i value of
250 km/s.Comment: 7 pages, 7 figures; accepted by A&
Visibility of unstable oscillation modes in a rapidly rotating B star
Space missions like CoRoT and Kepler have provided numerous new observations
of stellar oscillations in a multitude of stars by high precision photometry.
This work compares the observed rich oscillation spectrum of the rapidly
rotating B3 IV star HD 43317 with the first results obtained by a new method to
calculate unstable oscillation modes in rapidly rotating stars in order to see
whether some of the observed modes can be identified. The new numerical method
consists of two parts. We first search for modes resonant with a prescribed
forcing symmetry by moving through relevant regions of complex frequency space
and monitoring any increase of the stellar response to the applied forcing and
zooming in onto the resonance. These resonant non-adiabatic 2D-solutions are
then fed into a 2D relaxation code with the same equations but without forcing
terms. The complex oscillation frequency used in the forcing is now no longer
prescribed, but added as an extra unknown. The corresponding free oscillation
mode is usually obtained after a few () iterations with only minor
adjustment of the complex oscillation frequency. To compare with the observed
light variations we calculate the `visibility' of the found unstable
oscillation modes, taking into account the cancellation of the various parts of
the radiating oscillating stellar surface as seen by the observer. The
frequencies of unstable axisymmetric g-modes, which have the highest
visibility, appear to nearly coincide with the observed largest amplitude
photometric variations of HD 43317, making an identification of the latter
oscillations as =0 modes plausible. The identification of =1 g-modes is
less straightforward, while many of the unstable even =2 g-modes may
correspond to observed weaker photometric variations.Comment: 9 pages, 5 figures accepted by Astronomy & Astrophysic
Tidal interaction of a rotating 1 Msun star with a binary companion
We calculate the tidal torque on a uniformly rotating 1 Msun star at various
stages of core hydrogen burning by an orbiting companion. We apply the
`traditional approximation' and solve the radial part of the tidal
perturbations by matrix inversion of the set of finite difference equations on
a very fine grid. We have identified resonances with gravity- and
quasi-toroidal modes with up to 1000 radial nodes in the more evolved stellar
models. For low forcing frequencies we find significant tidal response due to
viscous damping of inertial modes in the convective envelope of the solar-type
star. We conclude that effects due to stellar rotation (including resonance
locking) may considerably enhance the speed of tidal evolution in solar-type
stars.Comment: accepted for publ. in A&A, 11 pages, 6 figure
Tidal evolution of eccentric orbits in massive binary systems; a study of resonance locking
We study the tidal evolution of a binary system consisting of a 1.4 Msun
compact object in elliptic orbit about a 10 Msun uniformly rotating main
sequence star for various values of the initial orbital parameters. We apply
our previously published results of 2D non-adiabatic calculations of the
non-radial g- and r-mode oscillations of the uniformly rotating MS star, and
include the effects of resonant excitation of these modes in the tidal
evolution calculations. A high orbital eccentricity enhances the effectiveness
of the tidal interaction because of the large number of harmonic components of
the tidal potential and the reduced orbital separation near periastron. By
including the evolution of the MS star, especially of its rotation rate, many
resonance crossings occur with enhanced tidal interaction. We analyse the
phenomenon of resonance locking whereby a particular tidal harmonic is kept
resonant with a stellar oscillation mode. Resonance locking of prograde g-modes
appears an effective mechanism for orbital circularization of eccentric orbits.
We consider the orbital evolution of the binary pulsar PSR J0045-7319 and
conclude that resonance locking could explain the observed short orbital decay
time of this system if the B-star spins in the direction counter to the orbital
motion.Comment: 21 pages, 11 figures; some at reduced resolution, accepted for
publication in A&
Formation of millisecond pulsars. I. Evolution of low-mass X-ray binaries with P > 2 days
We have performed detailed numerical calculations of the non-conservative
evolution of close binary systems with low-mass (1.0-2.0 M_sun) donor stars and
a 1.3 M_sun accreting neutron star. Rather than using analytical expressions
for simple polytropes, we calculated the thermal response of the donor star to
mass loss, in order to determine the stability and follow the evolution of the
mass transfer. Tidal spin-orbit interactions and Reimers wind mass-loss were
also taken into account. We have re-calculated the correlation between orbital
period and white dwarf mass in wide binary radio pulsar systems. Furthermore,
we find an anti-correlation between orbital period and neutron star mass under
the assumption of the "isotropic re-emission" model and compare this result
with observations. We conclude that the accretion efficiency of neutron stars
is rather low and that they eject a substantial fraction of the transferred
material even when accreting at a sub-Eddington level. The mass-transfer rate
is a strongly increasing function of initial orbital period and donor star
mass. For relatively close systems with light donors (P < 10 days and M_2 < 1.3
M_sun) the mass-transfer rate is sub-Eddington, whereas it can be highly
super-Eddington by a factor of 10^4 for wide systems with relatively heavy
donor stars (1.6 - 2.0 M_sun) as a result of their deep convective envelopes.
We briefly discuss the evolution of X-ray binaries with donor stars in excess
of 2 M_sun.
Based on our calculations we present evidence that PSR J1603-7202 evolved
through a phase with unstable mass transfer from a relatively heavy donor star
and therefore is likely to host a CO white dwarf companion.Comment: Accepted for publication in A&A. 18 pages, 6 figures, 2 table
Unstable quasi g-modes in rotating main-sequence stars
This paper studies the oscillatory stability of uniformly rotating
main-sequence stars of mass 3-8 M_sun by solving the linearized non-adiabatic,
non-radial oscillation equations with a forcing term and searching for resonant
response to a complex forcing frequency. By using the traditional approximation
the solution of the forced oscillation equations becomes separable, whereby the
energy equation is made separable by approximation. It is found that the
kappa-mechanism in rotating B-stars can destabilize not only gravity- or
pressure modes, but also a branch of low frequency retrograde (in corotating
frame) oscillations in between the retrograde g-modes and toroidal r-modes.
These unstable quasi g-modes (or `q-modes') hardly exhibit rotational
confinement to the equatorial regions of the star, while the oscillations are
always prograde in the observer's frame, all in contrast to g-modes. The
unstable q-modes occur in a few narrow period bands (defined by their azimuthal
index m), and seem to fit the oscillation spectra observed in SPB stars rather
well. The unstable q-mode oscillation spectrum of a very rapidly rotating 8
M_sun star appears similar to that of the well studied Be-star mu Cen. The
unstable q-modes thus seem far better in explaining the observed oscillation
spectra in SPB-stars and Be-stars than normal g-modes.Comment: 15 pages, 16 figures, to appear in Astronomy & Astrophysic
The tidal excitation of r modes in a solar type star orbited by a giant planet companion and the effect on orbital evolution II: The effect of tides in the misaligned case
We extend the study of Papaloizou Savonije of the tidal interactions of close orbiting giant planets with a central solar type star to the situation where the spin axis of the central star and the orbital angular momentum are misaligned. We determine the tidal response taking into account the possibility of the excitation of r modes and the effect of tidal forcing due to potential perturbations which have zero frequency in a non rotating frame. Although there is near resonance with r modes with degree lâČ = 1 and orders m = ±1, half widths turn out to be sufficiently narrow so that in practice dissipation rates are found to be similar to those produced by non resonant potential perturbations. We use our results to determine the evolution of the misalignment for the full range of initial inclination angles taking account of the spin down of the central star due to magnetic braking. Overall we find the rate of tidal evolution to be unimportant for a one Jupiter mass planet with orbital period âŒ3.7d over a main sequence lifetime. However, it becomes significant for higher mass planets and shorter orbital periods, approximately scaling as the square of the planet mass and the inverse fourth power of the orbital period
Dynamical Tide in Solar-Type Binaries
Circularization of late-type main-sequence binaries is usually attributed to
turbulent convection, while that of early-type binaries is explained by
resonant excitation of g modes. We show that the latter mechanism operates in
solar-type stars also and is at least as effective as convection, despite
inefficient damping of g modes in the radiative core. The maximum period at
which this mechanism can circularize a binary composed of solar-type stars in
10 Gyr is as low as 3 days, if the modes are damped by radiative diffusion only
and g-mode resonances are fixed; or as high as 6 days, if one allows for
evolution of the resonances and for nonlinear damping near inner turning
points. Even the larger theoretical period falls short of the observed
transition period by a factor two.Comment: 17 pages, 2 postscript figures, uses aaspp4.sty. Submitted to Ap
Nonadiabatic resonant dynamic tides and orbital evolution in close binaries
This investigation is devoted to the effects of nonadiabatic resonant dynamic
tides generated in a uniformly rotating stellar component of a close binary.
The companion is considered to move in a fixed Keplerian orbit, and the effects
of the centrifugal force and the Coriolis force are neglected. Semi-analytical
solutions for the linear, nonadiabatic resonant dynamic tides are derived by
means of a two-time variable expansion procedure. The solution at the lowest
order of approximation consists of the resonantly excited oscillation mode and
displays a phase shift with respect to the tide-generating potential.
Expressions are established for the secular variations of the semi-major axis,
the orbital eccentricity, and the star's angular velocity of rotation caused by
the phase shift. The orders of magnitude of these secular variations are
considerably larger than those derived earlier by Zahn (1977) for the limiting
case of dynamic tides with small frequencies. For a 5 solar mass ZAMS star, an
orbital eccentricity e = 0.5, and orbital periods in the range from 2 to 5
days, numerous resonances of dynamic tides with second-degree lower-order
gravity modes are seen to induce secular variations of the semi-major axis, the
orbital eccentricity, and the star's angular velocity of rotation with time
scales shorter than the star's nuclear life time.Comment: accepted for publication in A&A, 13 page
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