Issue |
A&A
Volume 507, Number 3, December I 2009
|
|
---|---|---|
Page(s) | 1659 - 1665 | |
Section | Planets and planetary systems | |
DOI | https://doi.org/10.1051/0004-6361/200912112 | |
Published online | 24 September 2009 |
A&A 507, 1659-1665 (2009)
A substellar component orbiting the F-star 30 Arietis B
,![[*]](/icons/foot_motif.png)
E. W. Guenther1,
-
M. Hartmann1 -
M. Esposito2 -
A. P. Hatzes1 -
F. Cusano1 -
D. Gandolfi1
1 - Thüringer Landessternwarte Tautenburg,
Sternwarte 5, 07778 Tautenburg, Germany
2 -
Hamburger Sternwarte,
Gojenbergsweg 112,
21029 Hamburg, Germany
Received 19 March 2009 / Accepted 14 September 2009
Abstract
Context. Most current radial velocity planet search programs
have concentrated on stars of one solar mass. Our knowledge on the
frequency of giant planets and brown dwarf companions to more massive
stars is thus rather limited. In the case of solar-like stars, the
frequency of short-period brown dwarf companions and very massive
planets seems to be low.
Aims. Here we present evidence for a substellar companion to 30 Ari B, an F-star of
that is a member of a hierarchical triple system.
Methods. The companion was detected by means of precise radial
velocity measurements using the 2-m Alfred-Jensch telescope and its
échelle spectrograph. An iodine absorption cell provided the wavelength
reference for precise stellar radial velocity measurements.
Results. We analyzed our radial velocity measurements and derived an orbit to the companion with period,
days, eccentricity
,
and mass function
.
Conclusions. We conclude that the radial velocity variations of 30 Ari B are due to a companion with
of
that is either a massive planet or a brown dwarf. The object thus
belongs to the rare class of massive planets and brown dwarfs orbiting
main- sequence stars.
Key words: stars: individual: 30 Arietis B - stars: low-mass, brown dwarfs - planetary systems - techniques: radial velocities
1 Introduction
Although the mass of the host star is likely to be important for planet formation, our knowledge of the dependence between the mass of the host star and the frequency and mass of planets is still rather limited (Udry & Santos 2007). This is, because most planet search programs focus on dwarfs of about one solar mass, or less.
Although there is strong evidence that stars less massive than the sun
have a lower frequency of giant planets, it still has not been
observationally established whether a different frequency of giant
planets holds for stars more massive than the sun. A correlation
between the mass of the planets, and the host stars is expected
because the mass of the proto-planetary disk scales with the mass of
the stars (Lovis & Mayor 2007). Radial velocity searches
for planets around more massive, early-type main-sequence stars are
problematical due to the paucity of lines and often rapid rates of
rotation - the RV precision is often inadequate for the detection of
substellar companions. In spite of these difficulties a few searches
have been conducted. Galland et al. (2005a) surveyed a
sample of A-F stars and discovered a planetary candidate in a 388-day
orbit with
around the F6V star HD 33564 which has a mass of
(Galland et al. 2005b). They also found a brown dwarf
candidate with
in a 28-day orbit
around the A9V star HD 180777 (Galland et al. 2006).
An alternative approach is to conduct RV searches for those early-type
main-sequence stars that have evolved onto the giant branch. The cool
effective temperatures and slow rotation rates make these stars much
more amenable to RV searches even if the mass determination is more
problematical for such stars. Currently about 20 giant planets have
been found around giant stars in the mass range of
(e.g. Frink et al. 2002; Sato et al. 2003; Setiawan et al. 2005; Döllinger et al. 2007; Lovis & Mayor 2007; Sato et al. 2007). These planets tend to have masses in the range
of
hinting that more massive stars tend to have
more massive planets. Interestingly, the well known relation between
metallicity and planet frequency for solar-like stars is less
pronounced in giant stars (Schuler et al. 2005). Pasquini
et al. (2007) argued that the planet-metallicity effect
may be a result of atmospheric pollution caused by migrating planets
being swallowed up by the star. In giant stars there is also a lack of
planets with semi-major axis of
0.6 AU and possibly also a
different distribution of the eccentricities. Sato et al. (2007) discuss whether the lack of close-in planets in
giant stars is due to a difference in the formation of planets of more
massive star, or due to the fact that planets moves outwards when the
central stars loose mass, or whether the inner planets are engulfement
by their host stars when these expand. The discovery of the planet of
the sdB star V391 Peg is very interesting in this respect as
this planet must have survived the red-giant phase, when the star
expanded to 70% of the star-planet distance (Silvotti et al. 2007; Fortney 2007). Once a sufficient
number of planets of giant and main-sequence stars that are more
massive than the sun are found, it will be possible to find out
whether the lack of planets with 0.6 AU in giant stars is due to the
formation, or evolution of the planets. If it were due to formation,
we would find the same lack of inner planets in main-sequence stars
more massive than the sun as in giant stars.
According to the theory by Kennedy & Kenyon (2008), the
probability that a given star has at least one gas giant planet
increases linearly with stellar mass from 0.4 to
.
Kornet et al. (2006) concluded that giant planets
tend to form in tighter orbits around less massive stars.
Although they find that the minimum metallicity at which planets can
form via core accretion decreases with increasing mass of the central
star, they also conclude that the frequency of massive planets should
be anticorrelated with the mass of the star.
Searching for planets around main-sequence stars more massive than the
sun is possible if one restricts the search to stars in the range
between 1.1 to about
(F-stars) and on the detection of
massive planets. Such stars have still enough spectral lines and the
rotation rates are still modest compared to more massive stars so that
a reasonable RV precision is achieved. Additionally, the mass of the
convection zone of F-stars is a factor 10 smaller than that of K stars
allowing us to investigate the atmospheric pollution hypothesis as
well (Pinsonneault et al. 2001).
In here we report on the indirect detection of a massive planet around the F6V star 30 Ari B, which is also part of a hierarchical triple system.
2 The host star 30 Ari B
30 Ari is a visual binary star with a separation of
arcsec (Shatsky 2001)
consisting of the
components 30 Ari A (HD 16246, HIP 12189)
and 30 Ari B (HD 16232, HIP 12184).
30 Ari A is a single line
spectroscopic binary. Morbey & Brosterhus (1974) derive
an orbital period of
days, an eccentricity of
,
and an amplitude of
km s-1.
Using the Hipparcos parallax of the two stars (Perryman et al.
1997; Zombeck 2006) the distance to
30 Ari A, B is
pc, which yields a projected
distance between the two stars of about
AU. The orbital
period thus is likely to be larger than 10000 years. As expected for
a close binary system, 30 Ari A is an X-ray source and was
detected by ROSAT with an X-ray flux of
ct/s (Zickgraf
et al. 2003). 30 Ari B was not detected by
ROSAT.
30 Ari A is listed in the SIMBAD database with a spectral
type F6III. If true, the object should have an absolute brightness
(Mv) of +1.4 mag. Using again the Hipparcos distance, the
relative magnitude (mv) would than be 4.4 mag, which is inconsistent
with the observed brightness (Table 1). The V-J colours
are
for 30 Ari A and
for
30 Ari B, and the V-K colours are
and
for components A and B, respectively. The colours are
also inconsistent with a giant star but consistent with a
main-sequence star. Using our high resolution spectra (see Sect. 3) and
following the method described in Frasca et al. (2003) and
Gandolfi et al. (2008), we find that 30 Ari A is
an F5V star and 30 Ari B, and 30 Ari B and F6V star
(Figs. 1; 2). Thus, the brightness,
colours and the results of the spectroscopy show that both components
are still on the main sequence stars.
Figure 3 shows the position of both stars in the
Hertzsprung-Russell diagram, together with the evolutionary tracks
from Girardi et al. (2000). Averaging the stellar
parameters and the using the method described in da Silva et al. (2006), we derive the age, masses, and diameters of
the two stars (Table 1). We find that the mass of 30 Ari A and B are
and
,
respectively. For the ages of the two stars we derive
and
Gyr. The
values are also typical for
stars of that age and spectral type. The basic stellar data are
summarized in Table 1. As can be seen from the various
abundance determinations both 30 Ari A and 30 Ari B
are slightly metal rich.
Table 1: Stellar properties of 30 Ari A, B.
3 Observations
30 Ari B was one of the stars monitored as part of the RV
planet search program of the Thüringer Landessternwarte as described
by Hatzes et al. (2005). For this program we used the
2-m-Alfred Jensch telescope of the Thüringer Landessternwarte
Tautenburg which is equipped with an échelle spectrograph with
resolving power of
.
During the
observations an iodine absorption cell was placed in the optical path
in front of the spectrograph slit. The resulting iodine absorption
spectrum that was superposed on top of the stellar spectrum provided a
stable wavelength reference for the measurement of the stellar RV. All
spectral observations were bias-subtracted, flat-fielded, and the
échelle orders extracted using standard IRAF routines.
4 Radial velocity measurements and orbit of the companion
The RVs were calculated by modelling the observed spectra with a high
signal-to-noise ratio template of the star (without iodine) and a scan
of our iodine cell taken at very high resolution with the Fourier
Transform Spectrometer of the McMath-Pierce telescope at Kitt
Peak. The latter enables us to compute the relative velocity shift
between stellar and iodine absorption lines as well as to model the
temporal and spatial variations of the instrumental profile. See
Valenti et al. (1995) and Butler et al. (1996)
for a description of the principles behind this technique. The median
of the errors of the RV measurements for our planet program stars is
about 9 m s-1 and 11% of these stars show RV variations of
6 m s-1. This is based on the rms RV scatter for all
stars with trends or orbital solutions removed (when companions are
found). This error is mostly due to the S/N-ratio of the spectra and
not to the inherent accuracy of the instrument, since we can achieve a
precision of
3 m s-1 on bright, slowly rotating
late-type stars. However, for F-stars the accuracy is much lower,
because of the fewer spectral lines. Since 30 Ari B is an
F-star and rapidly rotating (
), and since average S/N-ratio of the spectra is only
,
it is not surprising that the errors of each individual
measurement is very large. As usual the errors of the measurements
are derived from the standard-deviation of the RV values determined
for each of the
116 chunks into which the spectrum is divided
(Endl et al. 2004; Hatzes et al. 2005, 2006; Döllinger et al. 2007, 2009). The median RV error for
30 Ari B is 152 m s-1. Table 3 lists our
RV measurements for 30 Ari B.
![]() |
Figure 1: Part of the TLS spectra of 30 Ari A. The observed spectra are displayed with thin lines, while the best fitting F5V templates are overplotted with thick lines. The spectra have been arbitrarily normalized to the flux at 5290 Å. |
Open with DEXTER |
![]() |
Figure 2: Same as Fig. 1 but for 30 Ari B. The best fitting template is an F6V star. |
Open with DEXTER |
![]() |
Figure 3:
The position of 30 Ari A and 30 Ari B in the
Hertzsprung-Russell diagram, together with the evolutionary tracks
from zero-age main-sequence stars to giant stars published by
Girardi et al. (2000). The open circles show all values
given in Table 1 for 30 Ari A. The filled circles
correspond to 30 Ari B. The tracks are for masses of 1.2 and
1.3 |
Open with DEXTER |
![]() |
Figure 4:
Periodogram of the RV values. Apart from a one day alias,
there is only one peak at a frequency of 0.003
|
Open with DEXTER |



The orbital solution was determined using the non-linear least squares fitting program Gaussfit (Jefferys et al. 1988). These orbital parameters are listed in Table 2. Figure 10 shows the periodogram of the RV residuals after subtracting the orbital solution. There is no indication of additional signals (companions) in the RV data.
The classical Lomb-Scargle periodogram analysis is less than ideal for
detecting planets in eccentric orbits. A better way to detect these is
to phase-fold the data to all possible periods within a certain range
and then fitting a Kepler orbit to the data for each period. As a
test we also fitted all possible Kepler orbits with periods between
less than one day and 2213 days, the time for which we monitored the
object. We also varied the eccentricity between 0 and 0.9. The best
orbital solution is the one that minimizes the variance between it and
the RV measurements. Thus,
is maximized and this can
be used as a measure of the quality of the fit. A high value of
indicates a small difference between the best Kepler orbit
and the data. As can easily be seen in Figs. 8 and 9 the Kepler orbit which matches best the
observed data has a period of 335 days. The parameters of the
corresponding orbit are consistent with the Gaussfit solution,
which is shown as a line in Fig. 7. The values derived
given in Table 2. With a stellar mass of
,
the minimum companion mass is
.
![]() |
Figure 5:
Magnified periodogram close to the frequency
of 0.003
|
Open with DEXTER |
Table 2: Orbital elements of 30 Ari B.
Unfortunately, the orbital period is close to one year which makes it
difficult to cover all phases. Because of the relatively high latitude
of Tautenburg observatory (+51 degrees) managed, however to obtain RV
measurements of consecutive minima and maxima of the RV curve
(Fig. 6). Further tests are nevertheless required in
order to find out whether this period is in fact a one year alias, or
not. To test this hypothesis we permutated randomly the order of the
RV measurements in respect to the time when the observations were
taken, and applied the same period finding algorithm as before. If the
period were due to an alias we should find the same period in the
permutated as in the original data. The second line in
Fig. 8 shows the periodogram just for one such
permutated data set. We repeated the same experiment with
different permutations and none of these showed any
significant peak in that period range.
Furthermore, the orbital period differs by more than 5 sigma from a 1-year period (Fig. 8). This excludes that the signal is an artifact of incomplete removal of the earth's barycentric motion. We thus conclude that the 335-day period in the RVs real. Figure 6 shows the RV measurements together with the orbit and Fig. 7 the phase-folded RV measurements.
![]() |
Figure 6: RV measurements of 30 Ari B. The solid line is the orbital solution. |
Open with DEXTER |
![]() |
Figure 7: Phase-folded RV curve together with the orbit. |
Open with DEXTER |
![]() |
Figure 8:
Shown are the
|
Open with DEXTER |
![]() |
Figure 9: Same as Fig. 8 but for the period range between 1.0 and 1100 days demonstrating that the largest peak is at a period of 335 days. |
Open with DEXTER |
![]() |
Figure 10: Periodogram of the residuals of the RV after subtracting the orbit: There is no indication for another companion. |
Open with DEXTER |
5 Activity or companion?
We find RV variations of 30 Ari B with a period of
days. What is the nature of the RV variations? It is
unlikely that this period is due to oscillations as such long-period
pulsations have never been found in main-sequence stars. From the
radius of
,
and the
of the star
we derive that the rotation period has to be
1.5 days. It is
thus impossible that 335 days is the rotation period of the star. In
principle, another possibility would be that the RV variations are
caused by an activity cycle. Variations on long time scales might be
caused by changes of the granulation, which not only effects the RV
but also the central depth and thus the equivalent width of
photospheric lines (Livingston et al. 2007).
According to Ossendrijver (1997) the length of the
activity cycle is given by the relation:
[yrs], with the convective
turnover time
.
The convective turnover time would thus have
to be of the order of four days in order to explain an activity cycle
of 0.92 years. A
of four days is certainly not
very plausible for an F6V star (Ossendrijver 1997).
![]() |
Figure 11:
Periodogram of the Hipparcos photometry. There is
no peak at a frequency of 0.003
|
Open with DEXTER |
![]() |
Figure 12: Shown are photometric measurements taken with the Hipparcos satellite of 30 Ari B, phase-folded to the same period as in Fig. 7. The brightness of the star does not vary in phase with the RV. |
Open with DEXTER |
From the relationship between the filling factor and the RV jitter
from Saar & Donahue (1997), we derive that the brightness of
the star would have to change by 1% if the observed RV variations were caused by spots. In order to test this hypothesis, we
examined the photometric measurements taken with the Hipparcos
satellite (Perryman & ESA 1997). Figure 11
shows the periodogram of the Hipparcos photometry and Fig. 12
the values phase-folded to the orbital period given in
Table 2. The photometric measurements do not show any
periodicity associated with the planet period. We should note,
however, that the Hipparcos photometry was not contemporaneous with
our RV measurements. The average brightness of star in the interval of
0.1 in phase around the maximum and minimum of the RV is
,
and
mag, respectively. Thus, the
star has the same brightness at both phases which implies that there
no correlation between the brightness of the star and the RV.
As an additional test, we analyzed the strength of the H
and
H
lines. If we would find that the equivalent width, or the
depth of H
and H
were correlated with the RV, we would
have to conclude that the RV variations are caused by stellar activity
(König et al. 2005). Figure 13 shows the
equivalent width measurements of H
phase-folded in the same
way as Fig. 7. Even after binning the data in phase, we do
not see any obvious variations that are in phase with the RV
measurements. The equivalent width of H
variability is not
correlated with the RV.
As another test, we averaged all spectra in the RV intervals
,
,
,
and
,
and then divided these four spectra by the average of all spectra.
The result is shown in Fig. 14 for the spectral region
containing H
.
Again, there is no evidence that the depth of
H
is correlated with the RV.
As a final test we did the same analysis for the photospheric lines. Unfortunately, the number of photospheric lines that are not effected by the iodine lines are rather limited. Figure 15 shows the averaged equivalent width of photospheric lines that are not effected by the iodine versus the RV. As before, we binned the data into velocity intervals. Again, there is no correlation between the equivalent width and the radial velocity. Since all four tests show no indication that the RV variations are caused by stellar activity, we conclude that they are caused by a companion.
![]() |
Figure 13:
Shown are measurements of the equivalent with
of H |
Open with DEXTER |
![]() |
Figure 14:
Average spectrum of 30 Ari B in the H |
Open with DEXTER |
![]() |
Figure 15: Shown are measurements of the average equivalent with of photospheric lines against the RV. There is no correlation between RV and the equivalent with of the photospheric lines. |
Open with DEXTER |
6 Discussion and conclusions
We took RV measurements of the F-star 30 Ari B over a time
span of six years. The RV shows periodic variations with a period of
days, which can be fitted with a Keplerian orbit with an
eccentricity of
.
Since the period remained unchanged
during this time, and since the star shows neither significant
photometric variations, nor significant variations of the Balmer, or
photospheric lines, the best interpretation is that the RV variations
are caused by an orbiting body.
This star is part of a hierarchical triple system. However, the large
separation between 30 Ari A and 30 Ari B (about 1500
AU) is much larger than that of Cep (Hatzes et al. 2003) which has a binary separation of about 40 AU. A
detailed study by Desidera & Barbieri (2007) shows that
the properties of planets of wide binaries (projected separation of
about 200-300 AU) and orbital periods larger than 40 days are the same
as that of single stars. Thus, the binary nature of 30 Ari A
is presumably unimportant for 30 Ari B b.
We have measured a rotational velocity of
km s-1for 30 Ari B. This rotational rate implies that we most
likely are viewing the star nearly equator-on. Nordström et al. (1997) measured rotational velocities of 592 early
F-type stars. The median rotation rate was about 50 km s-1. The
average effective temperature for their sample was 6860 K which means
that 30 Ari B has a slightly later spectral type than a
typical member of the Nordström et al. (1997) sample.
Assuming that the orbital and stellar spin axes are aligned, sin iis most likely near unity. The minimum mass derived thus is probably
close to the true mass.
In any case a minimum mass of
implies that
the true mass is likely to be close to the planet/brown dwarf
boundary. As pointed out by Udry & Santos (2007), while most
gaseous planets have masses below 5
,
the distribution has a
long tail. A statistical analysis of all available data by Grether &
Lineweaver (2000) shows that the driest part of the brown
dwarf desert is at
.
These authors also find
that
of the solar-like stars are binaries,
have
giant planets but less than
have close brown dwarf companions
with orbital periods of less than 5 years. Given the fact that the
inclination for most of these systems is not known, some of the
suspected brown dwarf companions may even turn out to be binary
stars. The only transiting object with a mass in the brown dwarf
regime orbiting a star is CoRoT-Exo-3b (
)
(Deleuil et al. 2008). Such objects thus are rare but they
do exist.
The lack of high-mass planets is particularly striking for planets with an orbital period of less than 100 days. In fact, Udry & Santos (2007) list only three planets where the mass is higher, and the orbital period is shorter than that of 30 Ari B b. According to Eggenberger et al. (2008) most of the very massive planets are in binary systems. But as pointed out above, the distance to 30 Ari A is presumably too large to have any effect on the properties of the planet.
If we compare 30 Ari B b with other extrasolar planets, then
its closest match is HD 33564 b (Galland et al.
2005b): The host star also is an F6V star,
,
P = 388 days, and e = 0.34. 30 Ari
B b thus might belong to a class of objects that is not exotic but
simply represents the extension of the distribution of planets into
the brown dwarf regime.
Although 30 Ari B b is the ninth planet discovered by the Tautenburg survey around a star with a mass higher than the sun, a statistically larger sample is needed before concluding that very massive planets are more common among stars more massive than the sun.
AcknowledgementsWe are grateful to the user support group of the Alfred-Jensch telescope. A.P.H. and M.H. acknowledge the support from the Deutsche Forschungsgemeinschaft (DFG) of grant HA 3279/3-2, E.W.G. and F.C. of grant GU 464/11-1. M.E. acknowledges a grant by the DFG-Graduiertenkolleg 1351 ``Extrasolar Planets and their Host Stars''. Additionally, D.G. acknowledges the support of a grant from the Deutschen Zentrums für Luft- und Raumfahrt (DLR) (50OW0204). This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France. This publication makes use of data products from the Two Micron All Sky Survey, which is a joint project of the University of Massachusetts and the Infrared Processing and Analysis Center/California Institute of Technology, funded by the National Aeronautics and Space Administration and the National Science Foundation.
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Footnotes
- ... B
- Based on observations obtained at the 2-m Alfred-Jensch telescope at the Thüringer Landessternwarte Tautenburg.
- ...
- Table 3 is only available in electronic form at the CDS via anonymous ftp to cdsarc.u-strasbg.fr (130.79.128.5) or via http://cdsweb.u-strasbg.fr/cgi-bin/qcat?J/A+A/507/1659
- ...1,
- Visitor at the Instituto de Astrofísica de Canarias, C/ Vía Láctea, s/n, 38205 La Laguna (Tenerife), Spain.
All Tables
Table 1: Stellar properties of 30 Ari A, B.
Table 2: Orbital elements of 30 Ari B.
All Figures
![]() |
Figure 1: Part of the TLS spectra of 30 Ari A. The observed spectra are displayed with thin lines, while the best fitting F5V templates are overplotted with thick lines. The spectra have been arbitrarily normalized to the flux at 5290 Å. |
Open with DEXTER | |
In the text |
![]() |
Figure 2: Same as Fig. 1 but for 30 Ari B. The best fitting template is an F6V star. |
Open with DEXTER | |
In the text |
![]() |
Figure 3:
The position of 30 Ari A and 30 Ari B in the
Hertzsprung-Russell diagram, together with the evolutionary tracks
from zero-age main-sequence stars to giant stars published by
Girardi et al. (2000). The open circles show all values
given in Table 1 for 30 Ari A. The filled circles
correspond to 30 Ari B. The tracks are for masses of 1.2 and
1.3 |
Open with DEXTER | |
In the text |
![]() |
Figure 4:
Periodogram of the RV values. Apart from a one day alias,
there is only one peak at a frequency of 0.003
|
Open with DEXTER | |
In the text |
![]() |
Figure 5:
Magnified periodogram close to the frequency
of 0.003
|
Open with DEXTER | |
In the text |
![]() |
Figure 6: RV measurements of 30 Ari B. The solid line is the orbital solution. |
Open with DEXTER | |
In the text |
![]() |
Figure 7: Phase-folded RV curve together with the orbit. |
Open with DEXTER | |
In the text |
![]() |
Figure 8:
Shown are the
|
Open with DEXTER | |
In the text |
![]() |
Figure 9: Same as Fig. 8 but for the period range between 1.0 and 1100 days demonstrating that the largest peak is at a period of 335 days. |
Open with DEXTER | |
In the text |
![]() |
Figure 10: Periodogram of the residuals of the RV after subtracting the orbit: There is no indication for another companion. |
Open with DEXTER | |
In the text |
![]() |
Figure 11:
Periodogram of the Hipparcos photometry. There is
no peak at a frequency of 0.003
|
Open with DEXTER | |
In the text |
![]() |
Figure 12: Shown are photometric measurements taken with the Hipparcos satellite of 30 Ari B, phase-folded to the same period as in Fig. 7. The brightness of the star does not vary in phase with the RV. |
Open with DEXTER | |
In the text |
![]() |
Figure 13:
Shown are measurements of the equivalent with
of H |
Open with DEXTER | |
In the text |
![]() |
Figure 14:
Average spectrum of 30 Ari B in the H |
Open with DEXTER | |
In the text |
![]() |
Figure 15: Shown are measurements of the average equivalent with of photospheric lines against the RV. There is no correlation between RV and the equivalent with of the photospheric lines. |
Open with DEXTER | |
In the text |
Copyright ESO 2009
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