Astron. Astrophys. 339, 840-845 (1998)
3. Results
As single and binary stars exhibit markedly different behavior
(Schachter et al. 1996), we divided the program stars into two
subsamples, giving separate figures for the results for each
subsample. Our approach to this analysis begins with the simplest
model.
3.1. One-temperature model
In Table 2 we present the one-temperature fit for all program stars
which yield (column [8]) less than 3.5. columns
(1) and (2) give sequence number and star name respectively. The
emission measures are given in column (3). The best fit temperature
and its confidence intervals are given in columns (4) and (5). The
column densities derived from the fits are given in column (6). Note
that for most stars a statistically significant improvement of the fit
was obtained by including finite values for ; HD
128620 was the only program star for which no absorbing column was
required.
![[TABLE]](img9.gif)
Table 2. Fitting parameters for one-Temperature model
Combining the resulting temperature T above with the
magnetic field strength B given in Table 1, we plot the
resulting X-ray temperature versus magnetic field strength: in Fig. 1a for the single stars, and b for the binary and RS CVn
stars. From Fig. 1a, we see a correlation between the coronal
temperatures and the magnetic field strength for single stars. This
result suggests that the corona is heated magnetically. The best
quadratic-polynomial fit is for , with a reduced
of 1.62. But there is no correlation for the
binary stars and RS CVn stars. This can be explained as follows:
firstly, all of the companion stars contribute a considerable emission
to the total observed luminosity as independent components, secondly
in the close systems the orbital motion may induce fast surface
rotational velocities by means of tidal coupling, and hence increase
the nonthermal heating of the individual stellar chromospheres and
coronae (Maggio et al. 1990).
![[FIGURE]](img12.gif) |
Fig. 1a and b. The one-temperature fit of the coronal temperatures vs. the magnetic field strength. a for single stars, the solid line is the best fit line. b for binaries and RS CVns.
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3.2. Two temperature model
Because the one-temperature model fails to fit some program stars,
we use the two-temperature model to fit all sample stars. The fitting
results which yield (column [10])
are shown in Table 3. Columns (1)-(5) in Table 3 are the same as the first five columns of Table 2 (presenting
parameters for the low-temperature component of the model), while
columns (6)-(8) provide analogous information for the high-temperature
component.
![[TABLE]](img15.gif)
Table 3. Fitting parameters for two-Temperature model
In Fig. 2, we show - for acceptable two-temperature fits- the
resulting X-ray temperature versus the magnetic field strength. From
Fig. 2a, we see a remarkable correlation between the
high-temperature component and the magnetic field strength for single
stars, and the best quadratic-polynomial fit is
, with a reduced . Also
the best quadratic-polynomial fit for low-temperature components is
, with a reduced . This
value is too large to be acceptable. So we suggest that there is no
correlation for the low-temperature component of single stars, which
agrees with the result that the corona in quiet regions is heated
accoustically while the corona in active regions is heated
magnetically (Mullan & Fleming 1996). And there is no correlation
either for the high-temperature component or for the low-temperature
component of binaries and RS CVns.
![[FIGURE]](img20.gif) |
Fig. 2a-d. The two-temperature fit of the coronal temperatures vs. the magnetic field strength. a the high-temperature component for single stars, the solid line is the best fit line. b the low-temperature component for single stars. c the high-temperature component for binaries and RS CVns. d the low-temperature component for binaries and RS CVns.
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3.3. Two temperature model with intervening absorption
In order to study the influence of intervening absoption, we use
the two-temperature model with intervening absorption to fit all
sample stars which yields (column. [11])
. The results are shown in Table 4. Comparing
with the Table 3, we find that, in most cases, the improvement is
small when accounting for values, but for some
sample stars (HD62044,HD115404 and HD165341), a significant
improvement in the fit is obtained when finite values of
are included. From Table 4, we see the
high-temperature component for most of the single stars is lower than
, while for most of the binary and RS CVn stars
it is higher than . Only star HD222107 fails to
fit any coronal model.
![[TABLE]](img25.gif)
Table 4. Fitting parameters for two-Temperature model with Intervening Absorption
We plot the resulting X-ray temperature versus magnetic field
strength in Fig. 3, and we can gain the same results as for model 2
from Fig. 3. The best quadratic-polynomial fit for high-temperature
component is , with a reduced
, and , with a reduced
for low-temperature component.
![[FIGURE]](img30.gif) |
Fig. 3a-d. The two-temperature with intervening absorption fits of the coronal temperatures vs. the magnetic field strength. a the high-temperature component for single stars, the solid line is the best fit line. b the low-temperature component for single stars. c the high-temperature component for binaries and RS CVns. d the low-temperature component for binaries and RS CVns.
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© European Southern Observatory (ESO) 1998
Online publication: October 22, 1998
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