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arXiv:1208.4000v1[astro-ph.EP]20Aug2012
Astronomy & Astrophysics manuscript no. hip11952 c ESO 2012
August 21, 2012
Planetary companions around the metal-poor star HIP 11952
J. Setiawan1, V. Roccatagliata2,1, D. Fedele3, Th. Henning1, A. Pasquali4, M.V. Rodr´ıguez-Ledesma1,5, E. Caffau4, U.
Seemann5,6, and R.J. Klement7,1
1
Max-Planck-Institut f¨ur Astronomie, K¨onigstuhl 17, D-69117 Heidelberg, Germany
e-mail: setiawan@mpia.de
2
Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA
3
Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, MD 21218, USA
4
Astronomisches Rechen-Institut, Zentrum f¨ur Astronomie, M¨onchhofstrasse, 12-14, D-69120, Heidelberg
5
Institut f¨ur Astrophysik, Georg-August-Universit¨at, Friedrich-Hund-Platz 1, D-37077 G¨ottingen, Germany
6
European Southern Observatory, Karl-Schwarzschild Str. 2, D-85748, Garching bei M¨unchen, Germany
7
University of W¨urzburg, Department of Radiation Oncology, D-97080 W¨urzburg, Germany
Received 4/8/2011 - Accepted 27/2/2012
ABSTRACT
Aims. We carried out a radial-velocity survey to search for planets around metal-poor stars. In this paper we report the discovery of
two planets around HIP 11952, a metal-poor star with [Fe/H]= −1.9 that belongs to our target sample.
Methods. Radial velocity variations of HIP 11952 were monitored systematically with FEROS at the 2.2 m telescope located at the
ESO La Silla observatory from August 2009 until January 2011. We used a cross-correlation technique to measure the stellar radial
velocities (RV).
Results. We detected a long-period RV variation of 290 d and a short-period one of 6.95 d. The spectroscopic analysis of the stellar
activity reveals a stellar rotation period of 4.8 d. The Hipparcos photometry data shows intra-day variabilities, which give evidence
for stellar pulsations. Based on our analysis, the observed RV variations are most likely caused by the presence of unseen planetary
companions. Assuming a primary mass of 0.83 M⊙, we computed minimum planetary masses of 0.78 MJup for the inner and 2.93 MJup
for the outer planet. The semi-major axes are a1 = 0.07 AU and a2 = 0.81 AU, respectively.
Conclusions. HIP 11952 is one of very few stars with [Fe/H]< −1.0 which have planetary companions. This discovery is important
to understand planet formation around metal-poor stars.
Key words. star: general – star: individual: HIP 11952 – planetary system – technique: radial velocity
1. Introduction
Current results of the exoplanet surveys strongly suggest a cor-
relation between a star’s stellar metallicity and its probabil-
ity of hosting planets, in particular for main-sequence stars
(e.g., Fischer & Valenti 2005; Johnson et al. 2010). According
to these studies, the detection rate of planets decreases with
metallicity. However, the conclusions of Fischer & Valenti
(2005) might be affected by an observational bias, since these
authors did not have similar numbers of stars in their survey per
bin of metallicity. Therefore, it is crucial to understand if either
the high stellar metallicity triggers planet formation or the metal
enhancement of stars is caused by the formation of planets.
In the last years, exoplanet surveys tried to bridge this
gap, starting to include more metal-poor stars in their samples.
Sozzetti et al. (2009) conducted a three-year RV survey to look
for planets around metal-poor stars down to [Fe/H]= −2.0 and
found no evidence for short-period giant planets within 2 AU
from the central star. Santos et al. (2011) performed a similar
survey, only down to [Fe/H]= −1.4 and found three moderately
Send offprint requests to: J. Setiawan
metal-poor stars hosting a long period giant planets (P> 700 d).
A hot Saturn and a hot Jupiter have been found transiting two
moderate metal-poor stars, with [Fe/H]= −0.46 and −0.4, re-
spectively (Bouchy et al. 2010; Simpson et al. 2011).
In June 2009 we started a survey to search for planets
around metal-poor stars. The target sample includes 96 metal-
poor A and F stars. Our target list includes stars with metallic-
ities in the range −4.0 ≤[Fe/H]≤ −0.5. As part of this work,
Setiawan et al. (2010) found a planet around an extremely metal-
poor red horizontal branch star with a short period of 16.2 d.
We notice that its [Fe/H]= −2.1 is not included in the metal-
licity range covered by the surveys of Sozzetti et al. (2009) and
Santos et al. (2011).
These recent observations have started to disclose the realm
of planets at rather low stellar metallicities, indicating that metal-
licity may not be the main driver of planet formation. Clearly,
more statistics is needed to obtain robust conclusions. In this
framework, we report the detection of two planetary companions
around HIP 11952 as a result of our RV planet survey around
metal-poor stars.
1
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
Fig. 1. Comparison of the spectrum of HIP 11952 with stellar
spectra of the Indo-US library. The dashed lines highlight some
iron lines (Fe ii, Ti ii) which are sensitive to the luminosity class
of the star. The solid lines in the upper part of the figure indicate
the position of some iron and calcium lines which do not vary
with the luminosity class.
The paper is organized as follows: Observations and data
reduction are presented in section 2. The stellar parameters of
HIP 11952 are shown in section 3.1 together with the most rel-
evant information available for this star in the literature. In sec-
tion 3.2 we describe the RV and photometric analysis. The de-
tection of the planetary companion is addressed in section 4.
Discussion and conclusions are given in sections 5 and 6, re-
spectively.
2. Observations and data reduction
We observed HIP 11952 from August 2009 until January 2011
with FEROS at the 2.2 m Max-Planck Gesellschaft/European
Southern Observatory (MPG/ESO) telescope, located at ESO-
La Silla observatory, during the MPG guarantee time. FEROS
has a resolution of R = 48 000 and a wavelength coverage of
370–920 nm (Kaufer & Pasquini 1998). The long-term RV pre-
cision of FEROS was measured across a period of 6 years, from
December 2003 until January 2010, using the standard star τ
Ceti (HD 10700). We obtained an RV precision of better than 11
m s−1
.
The data reduction was performed with a software package
in the ESO-MIDAS environment available online at the tele-
scope. The procedure of the RV computation from the FEROS
spectra is described in Setiawan et al. (2003) and based on a
cross-correlation technique. The spectra of HIP 11952 were
cross-correlated with a template of an F dwarf star which best
matches the spectral type of HIP 11952.
3. Analysis
In this section we present the analysis of the stellar parameters
and RVs derived from the FEROS spectra.
3.1. The star HIP 11952
HIP 11952 (HD 16031; LP 710-89) was previously clas-
sified as an F0 dwarf star (e.g., Wright et al. 2003;
Kharchenko & Roeser 2009) and as a giant G8 (e.g.
S´anchez-Bl´azquez et al. 2006; Cenarro et al. 2007).
Our spectral classification was carried out by comparing the
FEROS spectrum of HIP 11952 with spectra from the Indo-
US library (Valdes et al. 2004) of metal-poor stars with differ-
ent luminosity classes and spectral types. The FEROS spectrum
was convolved to the resolution of the Indo-US spectral library
(1Å). Following the spectral classification criteria presented by
Gray & Corbally (2009), we used some lines (Fe ii, Ti ii) which
are sensitive to the luminosity class of the star as well as other
iron (Fe i) and calcium (Ca i) lines which do not vary with the lu-
minosity class (Fig. 1). From this comparison we concluded that
HIP 11952 is an F2V star. However, this result has to be con-
firmed by an independent spectroscopic analysis of the stellar
spectra, as we present below.
HIP 11952 is at a distance of 115.3 pc as derived from
the parallax measurements given in the Hipparcos catalogue
(Perryman 1997). Fundamental parameters of this star were de-
termined using our high-resolution FEROS spectra. In particu-
lar, stellar abundances, effective temperature and surface gravity
were computed using the synthetic spectra from the 1D ATLAS
models (Kurucz 1993; Kurucz 2005) and the fit of the Hα line
to the CO5BOLD 3D model atmosphere (Caffau et al. 2011).
The atomic data of the iron lines are from the Large Program
”First Stars” lead by R. Cayrel, optimized for metal-poor stars
(see Sivarani et al. 2004). The first attempt of abundance analy-
sis was based on 1D ATLAS model atmospheres computed using
the version 9 of the code ATLAS (Kurucz 1993; Kurucz 2005)
running under Linux (Sbordone et al. 2004; Sbordone 2005).
We derived a temperature of 5960K by fitting the Hα wings with
a grid of synthetic spectra computed from ATLAS models, and a
temperature of 6120 K when we used a grid of synthetic spectra
based on 3D models.
By imposing an agreement between the iron abundance de-
rived from the lines of Fe i and the lines of Fe ii, we derived
surface gravities log g of 3.8 and 4.0 for the two cases of
T eff = 5960 K and 6120 K, respectively. The uncertainty on
the effective temperature derived from the fit of the Hα is 150 K,
while the error in the surface gravity is 0.3. A microturbulence
of 1.4 km s−1
was derived by minimizing the slope of the abun-
dance versus equivalent width (EW) relation. The resulting iron
abundance derived is [Fe/H]= −1.95 ± 0.09 for Teff = 5960K
and [Fe/H]= −1.85 ± 0.09 for Teff = 6120 K, respectively.
We thus obtained two possible parameter sets for this
star: (Teff, log g, [Fe/H])=(5960 K, 3.8,−1.95) (1D ATLAS)
and (6120 K, 4.0, −1.85) (3D MODELS). We measured an
EW=3.07±0.03 mÅ of the Li feature at 670.7 nm, which implies
an abundance A(Li)=2.2 if we fix Teff = 6120 K, and A(Li)=2.1
in the case Teff = 5960K.
Feltzing et al. (2001) derived a stellar age of 12.8 ± 2.6 Gyr
by comparing the Str¨omgren photometry of HIP 11952 with
2
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
the evolutionary tracks computed for the Str¨omgren metallic-
ity ([m/H]= -1.54) of the star. We checked their result using
the photometry provided by Hipparcos for HIP 11952 in the
Bessell filters system (Bessell 2000) with the isochrones by
Marigo et al. (2008) and Girardi et al. (2010), calculated for the
Str¨omgren metallicity of the star. In the assumption that the dust
extinction along the line of sight to HIP 11952 is not large, the
Hipparcos photometry indicates, within its uncertainty, an age
older than 10 Gyr for this star.
We used the isochrones by Marigo et al. (2008) and
Girardi et al. (2010) computed for [m/H]= -1.54 and ages in the
range 10–13 Gyr in order to consistenly derive the mass and ra-
dius of HIP 11952. By comparing its photometry with the se-
lected isochrones, we constrained its mass between 0.79 M⊙ and
0.88 M⊙. From the relation between surface gravity, stellar mass
and stellar radius:
R
R⊙
=
M
M⊙
g⊙
g
(1)
we derived a stellar radius of 1.6±0.1 R⊙, where the error is ob-
tained from the errors propagation. The derived stellar mass and
radius adopted in this work are: 0.83+0.05
−0.04 M⊙ and 1.6±0.1 R⊙.
Fundamental stellar parameters have also been es-
timated in previous studies (e.g., Masana et al. 2006;
Charbonnel et al. 2005). The corresponding values are
Teff = 6367 K, a stellar radius R∗ = 1.0 R⊙ and surface gravity
log g = 4.1. Feltzing et al. (2001) reported m = 0.785 M⊙. If
we compile all literature values for the surface gravity given
in Cayrel de Strobel et al. (2001) and use R∗ = 1.0 R⊙, we
obtain a mean value m = 0.55 ± 0.23 M⊙. Within the errors,
these values are consistent with those we derived, although the
stellar radius is smaller than the one we adopted. Finally, we
compared the derived stellar parameters with those given by
Casagrande et al. (2010). These authors measured log g = 4.17,
[Fe/H]=−1.74 and Teff = 6186 K. Within the uncertainties,
these values are in good agreement with our determination.
Based on the surface gravity and radius derived from our
analysis and the available literature data, HIP 11952 is more
likely a star already evolved off the main-sequence, roughly sit-
ting at the base of the subgiant branch.
Astrometric and photometric data of HIP 11952 can
be found in public catalogues (e.g., Hipparcos). The as-
trometric variability is less than 5 mas, allowing the
conclusion that an unseen stellar companion in the sys-
tem can be ruled out. Nevertheless, older RV measure-
ments from Eggen & Sandage (1959) combined with
Carney & Latham (1987) suggested that HIP 11952 may
be a spectroscopic binary SB1 (Fouts 1987). However, our
measurements can neither reject nor confirm this claim yet. The
updated parameters of HIP 11952 are given in Table 1.
HIP 11952 is listed as a member of the metal-poor stellar
stream detected by Arifyanto & Fuchs (2006), a group of pu-
tative thick disk stars moving on similar orbits in the Galactic
potential and currently lagging the Local Standard of Rest by
Vlag ≈ 80 km s−1
. As such, HIP 11952 might stem from one of
the Milky Way’s former satellite galaxies that once got tidally
disrupted. Alternatively, Minchev et al. (2009) showed that the
stream might consist of in situ disk stars being scattered towards
common orbits through a merger-induced perturbation of the old
disk ∼ 1.9 Gyr ago. It is also possible that there is a connection
to the Arcturus stream at Vlag ≈ 100 which itself could have a
tidal or a dynamical origin (see discussion in Klement (2010) for
more details).
5200 5400 5600
24
24.2
24.4
24.6
Fig. 2. RV observations of HIP 11952, taken with FEROS from
August 2009 until January 2011 (upper panel). We calculated a
single Keplerian fit to the data (solid line) for the outer compo-
nent. A multi-component Keplerian fit is presented in Fig.9, see
Table. 3. The lower panel shows a Generalized Lomb-Scargle
(GLS) periodogram of the whole RV data set. The highest peak,
marked with P1 corresponds to a period of 290 ± 16 d with a
False Alarm Probability of ∼ 7 × 10−6
.
Table 1. Stellar parameters of HIP 11952
Parameter value unit
Spectral type∗
F2V − IV
m(a)
V 9.88 ± 0.02 mag
Parallax(a)
8.67 ± 1.81 mas
T∗
eff 5960 ± 150 K
6120 ± 150 K
log g∗
3.8 ± 0.3 cm2
/g
4.0 ± 0.3 cm2
/g
[Fe/H]∗
−1.95 ± 0.09 dex
−1.85 ± 0.09 dex
R∗
∗ 1.6 ± 0.1 R⊙
Mass∗
0.83+0.05
−0.04 M⊙
Age(b)
12.8 ± 2.6 Gyr
vrot sin i∗
5.2 ± 1.0 km s−1
Prot/ sin i 15.7 ± 2.5 d
∗
this work
a
Hipparcos catalogue (Perryman 1997)
b
Feltzing et al. (2001)
3.2. Radial velocity
The RV variation of HIP 11952 is shown in Fig. 2 (upper panel).
During the observation campaigns we obtained 77 RV mea-
surements (Table. 2). We applied the Generalized Lomb-Scargle
(GLS) periodogram (Zechmeister & K¨urster 2009) to the RV
data in order to search for periodicities.
We found several signals in the periodogram, as shown in
the lower panel of Fig. 2. The four highest signals are marked
with P1, P2, P3 and P4. The highest peak P1 has a False Alarm
Probability (FAP) of 7.2 × 10−6
and corresponds to a period of
3
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
Fig. 3. The residual RV after removing the 290 d periodicity. The
periodogram in the upper panel shows two peaks at 6.95 d and
1.16 d. The 1.16 d is identified as a harmonic of 6.95 d (1/1.16 +
1/6.95 = 1.0). The lower panel shows the phase folded RVs with
a period of 6.95 d. The solid line shows a Keplerian fit for the
residual RV variation.
290 ± 16 d. We computed a Keplerian fit to the data, shown as
the solid line in the upper panel of Fig. 2. The parameters of this
fit are given in Table 3.
After removing the 290 d signal, the peaks P2 and P3 disap-
pear. However, the peak P4 remains, which means that this sig-
nal is not an alias of P1. The signal P4 corresponds to a period
of 6.95 d with FAP= 8 × 10−4
. In the residual RV periodogram,
we also observed a signal at 1.16 d (Fig. 3 upper panel), which
is obviously a harmonic of the 6.95 d period (1/6.95 + 1/1.16
= 1.0). In the lower panel of Fig. 3 we have phase folded the
RVs with P = 6.95 d and show a Keplerian fit with the parame-
ters listed in Table 3. After excluding stellar activity as the cause
for the RV variations in the next sections, we are going to inter-
pret the signals P1 and P4 as orbital periods of unseen low-mass
companions (section 4 below).
3.3. Stellar rotation
A systematic investigation of the stellar activity is mandatory
to avoid wrong interpretations of the observed RV variations.
There are several possibilities to probe the stellar activity. The
line profile asymmetry (bisector) and the Ca ii lines are known
as reliable stellar activity indicators. These activity indicators,
if they show periodic variations, can be used to determine the
stellar rotation period. Besides the spectroscopic methods, pho-
tometric observations are also commonly used to find the stellar
rotation period.
HIP 11952 itself is not a star with high stellar activity. This
is inferred from the absence of emission cores in Ca ii K (λ3934)
and H (λ3967). Furthermore, no Hα emission line was observed
in the spectra. The projected rotational velocity is also rela-
tively low (v sin i = 5.2 km s−1
) compared to other F-type dwarf
stars (de Medeiros & Mayor 1999). Finally, using the relation
P/ sin i = 2π R∗/v sin i, the maximum stellar rotation period is
found to be 15.7±2.5 d.
3.3.1. Line profile asymmetry
The line profile asymmetry can be quantified by the bisector ve-
locity span (BVS). A definition of the BVS is given, e.g., in
Hatzes (1996). We measured the BVS of the stellar spectra and
searched for any periodicity that might be related to the RV vari-
ation. In the GLS periodogram of BVS we found, however, no
significant peak. Thus, we cannot use the bisector to determine
the stellar rotation period. We then searched for a correlation
between BVS and RV to find out whether the observed RV vari-
ation is due to rotational modulation. We computed a correlation
coefficient c = 0.1 between the RV and BVS (Fig. 4). This value
indicates that the RV variation is not correlated with the BVS.
However, it does not give any hint about the stellar rotation pe-
riod.
Fig. 4. The figure shows the measurements of BVS, ploted
against residual RVs. The plot shows no correlation between
BVS and RV. We computed a correlation coefficient c = 0.1.
3.3.2. Ca ii analysis
As mentioned before we found no emission cores in the Ca ii H
& K lines (λλ3934,3968) which are, in general, excellent stel-
lar activity indicators to probe the rotational modulation of the
star. Nevertheless, we investigated to possibility to use Ca ii K
lines to find any indication of stellar activity. We calculated the
stellar activity index, known as S -index, similar to the method
described in Vaughan et al. (1978) and Santos et al. (2000). We
found a significant periodicity of 36 d in the periodogram, but
the error bar of the individual measurement is large. This value
is also close to the typical observational window of about one
month. Thus, also by considering P/ sin i value, we do not adopt
this as the stellar rotation period.
We exploited the capability of FEROS to investigate the Ca ii
lines λλ8498,8662, following the technique presented e.g. by
4
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
Table 2. RV variation of HIP 11952
JD RV error JD RV error
−2450000 (m/s) (m/s) −2450000 (m/s) (m/s)
5052.8320 24262.99 46.17 5256.5331 24342.01 35.92
5053.9449 24398.12 26.57 5258.5279 24461.25 33.87
5054.9025 24388.69 26.20 5262.5458 24312.08 39.98
5056.7834 24447.32 31.11 5268.5034 24367.11 33.39
5057.9442 24257.13 20.34 5349.9353 24151.48 35.26
5060.8739 24280.16 21.22 5351.9288 24351.42 26.78
5063.8340 24418.54 41.10 5357.9251 24358.36 50.76
5064.8816 24338.95 28.32 5358.9292 24410.18 36.79
5068.8975 24302.92 34.02 5396.8522 24319.13 45.60
5071.9278 24242.14 22.27 5399.8478 24342.35 40.48
5072.9043 24306.86 24.57 5400.9186 24334.94 34.61
5073.7695 24300.97 24.45 5401.8807 24423.26 29.23
5074.9106 24317.19 28.81 5402.8758 24473.63 38.74
5075.8276 24375.46 30.57 5403.8058 24401.82 37.24
5107.7807 24126.26 44.43 5404.8730 24261.93 41.39
5108.8472 24079.34 39.29 5405.8598 24302.11 35.31
5109.7623 24143.82 30.85 5407.8695 24314.65 34.22
5109.7800 24221.74 27.24 5430.8126 24397.33 32.08
5110.7724 24281.43 29.66 5432.7291 24217.71 40.97
5112.7689 24325.34 28.45 5434.8370 24277.26 30.19
5112.7808 24281.70 29.68 5436.8532 24391.30 29.11
5113.7627 24226.34 32.90 5437.8192 24431.76 34.17
5164.7436 24276.41 29.50 5491.5926 24425.56 46.26
5166.7405 24373.37 34.20 5492.7290 24320.54 42.54
5167.6315 24342.35 32.31 5493.7936 24351.56 32.04
5168.6411 24288.16 21.91 5494.8416 24371.35 37.64
5170.7375 24230.07 34.85 5497.8011 24298.56 30.49
5172.6838 24297.89 41.50 5521.6567 24476.62 22.33
5174.6691 24319.12 26.32 5523.6496 24471.39 25.01
5181.5403 24428.12 32.69 5524.5791 24387.17 17.30
5198.5285 24328.64 35.72 5525.6558 24390.15 17.25
5199.6074 24340.87 28.77 5526.6492 24439.61 15.05
5200.6219 24390.29 30.19 5527.6314 24449.32 25.68
5201.5849 24400.51 21.81 5583.6321 24489.01 14.01
5202.6165 24441.51 25.55 5584.5958 24630.11 21.68
5203.5918 24288.39 30.66 5585.6161 24437.91 36.76
5204.6389 24263.70 31.88 5587.6035 24290.41 50.00
5254.5427 24299.59 41.61 5588.6275 24391.65 66.95
5255.5272 24402.04 40.17
Larson (1993), where Ca ii λ8662 was used to determine the stel-
lar rotation period. Setiawan et al. (2010), for example, used the
equivalent width (EW) variations of Ca ii λ8498 as a stellar ac-
tivity indicator to estimate a stellar rotation period that agrees
with the bisector analysis.
The EW variation of Ca λ8498 of HIP 11952 indeed shows
a periodic variation with P = 1.76 d with a FAP of few percent.
Thus, it is only marginaly significant. Following Larson (1993)
we then measured the EW variation of Ca ii λ8662. Interestingly,
we found a significant periodicity in the EW variation of Ca ii
λ8662. The signal corresponds to a peak at a period of P = 4.82
d with FAP= 8 × 10−3
. Fig. 6 shows the EW variation and GLS
periodogram of the Ca ii λ8662 line. Assuming that this feature
is related to the stellar magnetic activity caused by starspots, the
period is most-likely linked to the stellar rotation.
3.3.3. Photometric data
Photometric V band observations of HIP 11952 are available
in the Hipparcos catalogue. Unfortunately, the data set is very
sparse, with 72 photometric measurements over a time span
of 893 d. The minimum time-interval between data points is
≈ 0.014d, and the typical photometric errors are ≈ 0.02 mag.
Due to long-term gaps of several days in the data set, period-
icities of a few days cannot be reliably detected. The sampling
allows for the detection of very short-term (few hours) as well as
long-term (20 d) variations.
We searched for periodicity in the photometric data us-
ing a combination of two periodogram analysis techniques:
the Scargle periodogram (Scargle 1982) and the CLEAN
algorithm (Roberts 1987). The combination of these two
techniques provides a reliable period detection as outlined
in several rotational period and variability studies (e.g.,
Rodr´ıguez-Ledesma et al. 2009).
Based on the Scargle periodogram, we detected significant
signals at P1 = 0.072, P2 = 0.33 and at P3 = 2 d. When
the CLEAN algorithm is applied, the 2 d signal is removed
and therefore, we concluded that it is probably a false peak
or alias due to the clumpy data sampling. Both the 0.072 and
0.33 d periods in the power spectrum remains (Fig. 7), with
FAP, based on the Scargle periodogram, of 0.5 % and 1 %,
respectively. All other peaks in Fig. 6 have larger FAPs. We
5
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
Fig. 5. Upper panel: The measurements of Ca ii λ3934 S -index.
Lower panel: The GLS periodogram of Ca ii λ3934 shows a clear
peak corresponding to a period of P = 36 d. However, the error
bar of the individual measurement is large and the period is close
to the observational time window of about 1 month.
Fig. 6. Upper panel: The measurements of Ca ii λ8662 EW vari-
ation. Lower panel: The GLS periodogram of Ca ii λ8662 shows
a clear peak corresponding to a period of P = 4.82 d. The dashed
line shows the period of the RV variations.
have also computed the statistical F-test and a derived FAP
from it (Scholz et al. 2004 and Rodr´ıguez-Ledesma et al. 2009).
The FAPFtest represents the probability that the period found is
caused by variations in the photometric noise, and therefore it
is independent of the periodogram analysis. The FAP Ftest de-
rived for the 0.072 and 0.33 d detected peaks are 5 % and 11 %,
respectively. Fig. 8 shows the phase folded light curves with the
periods of 0.072 and 0.33 d.
Due to the quality of the data set, however, it is difficult to
ensure the significance of these periods. Our analysis suggests
some evidence for short-term photometric variations, which
might be interpreted as possible pulsation modes in this F-type
star.
5e-06
1e-05
1.5e-05
2e-05
2.5e-05
3e-05
3.5e-05
4e-05
0.1 1 10 100
CLEANpower
Period [day]
Fig. 7. The photometric observations of HIP 11952 show two
peaks at P = 0.3 and P = 0.072 d.
9.8
9.82
9.84
9.86
9.88
9.9
9.92
9.94
9.96
9.98
0 0.5 1 1.5 2
V[mag]
Phase
P = 0.072 d
9.8
9.82
9.84
9.86
9.88
9.9
9.92
9.94
9.96
9.98
0 0.5 1 1.5 2
V[mag]
Phase
P = 0.33 d
Fig. 8. Phase folded light curves from the Hipparcos photometric
data.
Based on the analysis of the stellar activity indicators, we as-
sume a stellar rotation period of 4.8 d, as derived from the Ca ii
6
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
λ8662. Additionally, there might be evidence for stellar pulsa-
tions with intra-day periodicities
4. Planetary companion
Since the long-period and short-period RV variations have dif-
ferent characteristics from those of the stellar activity indicators,
we concluded that they are most likely caused by the presence
of unseen companions.
We computed the orbital solution by using a two-
components Keplerian model. In Fig. 9 we show the calcu-
lated orbital fit and residual velocities. The orbital paramaters
are given in Table 3. With a derived primary mass of 0.83
M⊙, we calculated the minimum masses of the companions
m2 sin i = 0.78 MJup for the inner and m2 sin i = 2.93 MJup for
the outer companion. The orbital semi-major axes are 0.07 AU
and 0.81 AU, respectively. The planetary orbits have moderate
eccentricities of 0.35 and 0.27, which seem to be not unusual,
based on the statistics of the eccentricity of exoplanets (see e.g.,
www.exoplanet.eu).
24
24.2
24.4
24.6
5200 5400 5600
-0.2
-0.1
0
0.1
0.2
Fig. 9. Orbital solution of a two-planets Keplerian fit (upper
panel). The orbital parameters are listed in Table.3. The resid-
ual velocities are shown in the lower panel.
Table 3. Orbital parameters for HIP 11952 b and c
Parameter Unit HIP 11952b HIP 11952c
P d 290.0 ± 16.2 6.95 ± 0.01
T0 JD 5402.0 ± 1.3 5029.2 ± 0.04
−2450000
e 0.27 ± 0.10 0.35 ± 0.24
ω1 deg 59.3 ± 2.5 61.2 ± 6.6
K1 m s−1
105.2 ± 14.7 100.3 ± 19.4
m2 sin i MJup 2.93 ± 0.42 0.78 ± 0.16
a AU 0.81 ± 0.02 0.07 ± 0.01
V0 km s−1
24.365 ± 0.01
σ(O − C) m s−1
70.22
reduced χ2
1.3
When calculating the orbital solutions, we obtained a rela-
tively large σ(O − C) value. A possible explanation to this is the
presence of another unseen companion or RV jitter due to the in-
teraction between the two companions. Because of the absence
of the emission cores in Ca ii H & K, the large σ(O − C) is most
likely not due to the intrinsic stellar variability.
We investigated the residual velocities and found a signifi-
cant signal at ∼40 days. However, the amplitude of the residual
RV variations is in the order of the error bars. Moreover, the
window function shows also a peak close to this period. To de-
tect further low-amplitude RV variations, more intensive high-
precise RV measurements are needed.
From the knowledge of Prot/ sin i = 15.7 d (Table 1) and the
rotation period P = 4.82 d, we derived an inclination angle of
the stellar rotation of 18◦
. Assuming that the orbital inclination
of the companion does not differ much from the stellar rotation
inclination angle, we estimated true companion masses of 2.5
and 9.5 MJup.
5. Discussion
A fundamental parameter of HIP 11952 is the stellar metallic-
ity. The metallicity issue here is particularly interesting, since
according to the theory of planet formation via core-accretion
processes, planetary companions around such metal poor stars
like HIP 11952 are not expected. The majority of the planet host
main-sequence stars are metal rich (Fig. 10, upper panel).
Fig. 10. The metallicity distribution of stars hosting planets.
Solid lines in the top and bottom panels represent dwarfs
and giants, respectively (data from the exoplanet encyclopedia
www.exoplanet.eu). Dash lines show data from the exoplanet
orbit database (Wright et al. 2011) which does not discriminate
between dwarf and giant stars.
For dwarf stars, the metallicity generally reflects the ini-
tial metallicity at star formation. Assuming that HIP 11952 is
a dwarf or a turn off star, its initial low metallicity makes
HIP 11952 unusual among the planetary systems discovered so
far (Fig. 10).
7
J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952
The both planetary companions around HIP 11952 belong
to only few planets that have been discovered in low metallic-
ity systems ([Fe/H]<-1.5), comparable to HIP 13044 reported
by Setiawan et al. (2010). Note that, so far also only few plan-
ets have been detected with host star’s metallicities -1<[Fe/H]<-
0.5. This group includes ∼60% main-sequence and ∼40% giants.
From the current statistics, about 50% of the giant planet-host
stars have sub-solar metallicities.
Whether the metallicity of a giant reflects its initial metal-
licity is still under debate. The convective envelopes in giant
star are much more extended than in main-sequence stars (e.g.
Pasquini et al. 2007) and they might alter their surface chemical
abundances.
The presence and formation of planets around metal-poor
stars, in particular those with metallicities [Fe/H]< −1.5 are
still poorly understood. According to the core accretion the-
ory (e.g., Safronov 1969; Pollack et al. 1996) high metallicity
is required for the formation of planets. Alternatively, planets
around metal-poor stars could form by gravitational disk in-
stability processes (e.g., Boss 1998) or other mechanisms (see
e.g., Nayakshin 2011). According to Nayakshin (2011) planets
around such metal-poor stars have no solid cores and may form
as a result of the second collapse (H2 disassociation) of their
embryos and radial migrations. Further discoveries of planets
around metal-poor stars can provide more constraints on cur-
rently different planet formation theories.
The planets around HIP 11952 have orbits with moderate
eccentricities. To examine the dynamical stability of the sys-
tem, numerical simulations are necessary to find stable planetary
configurations, see e.g., Barnes & Quinn (2004). Following their
calculations, systems with two or more planets in large separated
orbits are fully stable. The orbits of HIP 11952 b and c are in a
42:1 ratio and thus far beyond the 10:1 resonance. Therefore, the
system HIP 11952 is most likely fully stable.
Finally, HIP 11952 and its planets are among the oldest plan-
etary systems known. HIP 11952 is also older than typical stellar
ages in the Galactic thick disk. A possible connection to a metal-
poor stellar stream reported by Arifyanto & Fuchs (2006) is an
interesting aspect since it suggests that HIP 11952 might actu-
ally belong to a part of the thick disk that has been accreted from
a disrupted former satellite galaxy, similar to HIP 13044. The
age estimation of 12.8 ± 2.6 Gyr given by Feltzing et al. (2001)
is 1 Gyr older than that of HD 114752 which has an estimated
age of 11.8 ± 3.9 Gyr. HIP 11952’s age is close to the one of
HE 1523-0901, which is the oldest star (13.2 ± 2.7 Gyr) known
so far (Frebel et al. 2007). The old stellar age is supported by the
very low metallicity of HIP 11952 which is typical of Population
II stars.
6. Conclusions
We observed RV variations of HIP 11952. The spectroscopic and
photometric analysis of the star show that the periodic RV vari-
ations are not caused by the intrinsic stellar variability. Based
on our analysis, we detected two planetary companions around
the metal poor star HIP 11952 with orbital periods of 6.95 d and
290 d. We found evidence for intra-day stellar pulsations and ob-
served a stellar rotation of 4.82 d. We computed the companion’s
minimum mass of m2 sin i = 0.78 MJup for the inner planet and
m2 sin i = 2.93 MJup for the outer one. Additional high-precise
RV measurements are necessary to improve the orbital solution
and put more constraints on the eccentricities. Further RV obser-
vations might also reveal the presence of other low-mass com-
panions in the system. From the metal abundance analysis that
we carried out, we obtained an average [Fe/H]= −1.90 ± 0.06
from Fe i and Fe ii, respectively, which makes HIP 11952 b and
c the first planets discovered around a dwarf or subgiant star with
[Fe/H]<-1.5. This discovery is also remarkable since the plane-
tary system most likely belong to the first generation of planetary
systems in the Milky Way.
Acknowledgements. We thank N. Christlieb for the support and useful discus-
sions. We also thank A. Mueller, M. Zechmeister, J. Carson, W. Wang, C.
Ruhland, T. S. Hartung, S. Albrecht, R. Lachaume and T. Anguita for observ-
ing HIP 11952 with FEROS.
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Planetary companions around_the_metal_poor_star_hip11952

  • 1. arXiv:1208.4000v1[astro-ph.EP]20Aug2012 Astronomy & Astrophysics manuscript no. hip11952 c ESO 2012 August 21, 2012 Planetary companions around the metal-poor star HIP 11952 J. Setiawan1, V. Roccatagliata2,1, D. Fedele3, Th. Henning1, A. Pasquali4, M.V. Rodr´ıguez-Ledesma1,5, E. Caffau4, U. Seemann5,6, and R.J. Klement7,1 1 Max-Planck-Institut f¨ur Astronomie, K¨onigstuhl 17, D-69117 Heidelberg, Germany e-mail: setiawan@mpia.de 2 Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA 3 Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, MD 21218, USA 4 Astronomisches Rechen-Institut, Zentrum f¨ur Astronomie, M¨onchhofstrasse, 12-14, D-69120, Heidelberg 5 Institut f¨ur Astrophysik, Georg-August-Universit¨at, Friedrich-Hund-Platz 1, D-37077 G¨ottingen, Germany 6 European Southern Observatory, Karl-Schwarzschild Str. 2, D-85748, Garching bei M¨unchen, Germany 7 University of W¨urzburg, Department of Radiation Oncology, D-97080 W¨urzburg, Germany Received 4/8/2011 - Accepted 27/2/2012 ABSTRACT Aims. We carried out a radial-velocity survey to search for planets around metal-poor stars. In this paper we report the discovery of two planets around HIP 11952, a metal-poor star with [Fe/H]= −1.9 that belongs to our target sample. Methods. Radial velocity variations of HIP 11952 were monitored systematically with FEROS at the 2.2 m telescope located at the ESO La Silla observatory from August 2009 until January 2011. We used a cross-correlation technique to measure the stellar radial velocities (RV). Results. We detected a long-period RV variation of 290 d and a short-period one of 6.95 d. The spectroscopic analysis of the stellar activity reveals a stellar rotation period of 4.8 d. The Hipparcos photometry data shows intra-day variabilities, which give evidence for stellar pulsations. Based on our analysis, the observed RV variations are most likely caused by the presence of unseen planetary companions. Assuming a primary mass of 0.83 M⊙, we computed minimum planetary masses of 0.78 MJup for the inner and 2.93 MJup for the outer planet. The semi-major axes are a1 = 0.07 AU and a2 = 0.81 AU, respectively. Conclusions. HIP 11952 is one of very few stars with [Fe/H]< −1.0 which have planetary companions. This discovery is important to understand planet formation around metal-poor stars. Key words. star: general – star: individual: HIP 11952 – planetary system – technique: radial velocity 1. Introduction Current results of the exoplanet surveys strongly suggest a cor- relation between a star’s stellar metallicity and its probabil- ity of hosting planets, in particular for main-sequence stars (e.g., Fischer & Valenti 2005; Johnson et al. 2010). According to these studies, the detection rate of planets decreases with metallicity. However, the conclusions of Fischer & Valenti (2005) might be affected by an observational bias, since these authors did not have similar numbers of stars in their survey per bin of metallicity. Therefore, it is crucial to understand if either the high stellar metallicity triggers planet formation or the metal enhancement of stars is caused by the formation of planets. In the last years, exoplanet surveys tried to bridge this gap, starting to include more metal-poor stars in their samples. Sozzetti et al. (2009) conducted a three-year RV survey to look for planets around metal-poor stars down to [Fe/H]= −2.0 and found no evidence for short-period giant planets within 2 AU from the central star. Santos et al. (2011) performed a similar survey, only down to [Fe/H]= −1.4 and found three moderately Send offprint requests to: J. Setiawan metal-poor stars hosting a long period giant planets (P> 700 d). A hot Saturn and a hot Jupiter have been found transiting two moderate metal-poor stars, with [Fe/H]= −0.46 and −0.4, re- spectively (Bouchy et al. 2010; Simpson et al. 2011). In June 2009 we started a survey to search for planets around metal-poor stars. The target sample includes 96 metal- poor A and F stars. Our target list includes stars with metallic- ities in the range −4.0 ≤[Fe/H]≤ −0.5. As part of this work, Setiawan et al. (2010) found a planet around an extremely metal- poor red horizontal branch star with a short period of 16.2 d. We notice that its [Fe/H]= −2.1 is not included in the metal- licity range covered by the surveys of Sozzetti et al. (2009) and Santos et al. (2011). These recent observations have started to disclose the realm of planets at rather low stellar metallicities, indicating that metal- licity may not be the main driver of planet formation. Clearly, more statistics is needed to obtain robust conclusions. In this framework, we report the detection of two planetary companions around HIP 11952 as a result of our RV planet survey around metal-poor stars. 1
  • 2. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 Fig. 1. Comparison of the spectrum of HIP 11952 with stellar spectra of the Indo-US library. The dashed lines highlight some iron lines (Fe ii, Ti ii) which are sensitive to the luminosity class of the star. The solid lines in the upper part of the figure indicate the position of some iron and calcium lines which do not vary with the luminosity class. The paper is organized as follows: Observations and data reduction are presented in section 2. The stellar parameters of HIP 11952 are shown in section 3.1 together with the most rel- evant information available for this star in the literature. In sec- tion 3.2 we describe the RV and photometric analysis. The de- tection of the planetary companion is addressed in section 4. Discussion and conclusions are given in sections 5 and 6, re- spectively. 2. Observations and data reduction We observed HIP 11952 from August 2009 until January 2011 with FEROS at the 2.2 m Max-Planck Gesellschaft/European Southern Observatory (MPG/ESO) telescope, located at ESO- La Silla observatory, during the MPG guarantee time. FEROS has a resolution of R = 48 000 and a wavelength coverage of 370–920 nm (Kaufer & Pasquini 1998). The long-term RV pre- cision of FEROS was measured across a period of 6 years, from December 2003 until January 2010, using the standard star τ Ceti (HD 10700). We obtained an RV precision of better than 11 m s−1 . The data reduction was performed with a software package in the ESO-MIDAS environment available online at the tele- scope. The procedure of the RV computation from the FEROS spectra is described in Setiawan et al. (2003) and based on a cross-correlation technique. The spectra of HIP 11952 were cross-correlated with a template of an F dwarf star which best matches the spectral type of HIP 11952. 3. Analysis In this section we present the analysis of the stellar parameters and RVs derived from the FEROS spectra. 3.1. The star HIP 11952 HIP 11952 (HD 16031; LP 710-89) was previously clas- sified as an F0 dwarf star (e.g., Wright et al. 2003; Kharchenko & Roeser 2009) and as a giant G8 (e.g. S´anchez-Bl´azquez et al. 2006; Cenarro et al. 2007). Our spectral classification was carried out by comparing the FEROS spectrum of HIP 11952 with spectra from the Indo- US library (Valdes et al. 2004) of metal-poor stars with differ- ent luminosity classes and spectral types. The FEROS spectrum was convolved to the resolution of the Indo-US spectral library (1Å). Following the spectral classification criteria presented by Gray & Corbally (2009), we used some lines (Fe ii, Ti ii) which are sensitive to the luminosity class of the star as well as other iron (Fe i) and calcium (Ca i) lines which do not vary with the lu- minosity class (Fig. 1). From this comparison we concluded that HIP 11952 is an F2V star. However, this result has to be con- firmed by an independent spectroscopic analysis of the stellar spectra, as we present below. HIP 11952 is at a distance of 115.3 pc as derived from the parallax measurements given in the Hipparcos catalogue (Perryman 1997). Fundamental parameters of this star were de- termined using our high-resolution FEROS spectra. In particu- lar, stellar abundances, effective temperature and surface gravity were computed using the synthetic spectra from the 1D ATLAS models (Kurucz 1993; Kurucz 2005) and the fit of the Hα line to the CO5BOLD 3D model atmosphere (Caffau et al. 2011). The atomic data of the iron lines are from the Large Program ”First Stars” lead by R. Cayrel, optimized for metal-poor stars (see Sivarani et al. 2004). The first attempt of abundance analy- sis was based on 1D ATLAS model atmospheres computed using the version 9 of the code ATLAS (Kurucz 1993; Kurucz 2005) running under Linux (Sbordone et al. 2004; Sbordone 2005). We derived a temperature of 5960K by fitting the Hα wings with a grid of synthetic spectra computed from ATLAS models, and a temperature of 6120 K when we used a grid of synthetic spectra based on 3D models. By imposing an agreement between the iron abundance de- rived from the lines of Fe i and the lines of Fe ii, we derived surface gravities log g of 3.8 and 4.0 for the two cases of T eff = 5960 K and 6120 K, respectively. The uncertainty on the effective temperature derived from the fit of the Hα is 150 K, while the error in the surface gravity is 0.3. A microturbulence of 1.4 km s−1 was derived by minimizing the slope of the abun- dance versus equivalent width (EW) relation. The resulting iron abundance derived is [Fe/H]= −1.95 ± 0.09 for Teff = 5960K and [Fe/H]= −1.85 ± 0.09 for Teff = 6120 K, respectively. We thus obtained two possible parameter sets for this star: (Teff, log g, [Fe/H])=(5960 K, 3.8,−1.95) (1D ATLAS) and (6120 K, 4.0, −1.85) (3D MODELS). We measured an EW=3.07±0.03 mÅ of the Li feature at 670.7 nm, which implies an abundance A(Li)=2.2 if we fix Teff = 6120 K, and A(Li)=2.1 in the case Teff = 5960K. Feltzing et al. (2001) derived a stellar age of 12.8 ± 2.6 Gyr by comparing the Str¨omgren photometry of HIP 11952 with 2
  • 3. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 the evolutionary tracks computed for the Str¨omgren metallic- ity ([m/H]= -1.54) of the star. We checked their result using the photometry provided by Hipparcos for HIP 11952 in the Bessell filters system (Bessell 2000) with the isochrones by Marigo et al. (2008) and Girardi et al. (2010), calculated for the Str¨omgren metallicity of the star. In the assumption that the dust extinction along the line of sight to HIP 11952 is not large, the Hipparcos photometry indicates, within its uncertainty, an age older than 10 Gyr for this star. We used the isochrones by Marigo et al. (2008) and Girardi et al. (2010) computed for [m/H]= -1.54 and ages in the range 10–13 Gyr in order to consistenly derive the mass and ra- dius of HIP 11952. By comparing its photometry with the se- lected isochrones, we constrained its mass between 0.79 M⊙ and 0.88 M⊙. From the relation between surface gravity, stellar mass and stellar radius: R R⊙ = M M⊙ g⊙ g (1) we derived a stellar radius of 1.6±0.1 R⊙, where the error is ob- tained from the errors propagation. The derived stellar mass and radius adopted in this work are: 0.83+0.05 −0.04 M⊙ and 1.6±0.1 R⊙. Fundamental stellar parameters have also been es- timated in previous studies (e.g., Masana et al. 2006; Charbonnel et al. 2005). The corresponding values are Teff = 6367 K, a stellar radius R∗ = 1.0 R⊙ and surface gravity log g = 4.1. Feltzing et al. (2001) reported m = 0.785 M⊙. If we compile all literature values for the surface gravity given in Cayrel de Strobel et al. (2001) and use R∗ = 1.0 R⊙, we obtain a mean value m = 0.55 ± 0.23 M⊙. Within the errors, these values are consistent with those we derived, although the stellar radius is smaller than the one we adopted. Finally, we compared the derived stellar parameters with those given by Casagrande et al. (2010). These authors measured log g = 4.17, [Fe/H]=−1.74 and Teff = 6186 K. Within the uncertainties, these values are in good agreement with our determination. Based on the surface gravity and radius derived from our analysis and the available literature data, HIP 11952 is more likely a star already evolved off the main-sequence, roughly sit- ting at the base of the subgiant branch. Astrometric and photometric data of HIP 11952 can be found in public catalogues (e.g., Hipparcos). The as- trometric variability is less than 5 mas, allowing the conclusion that an unseen stellar companion in the sys- tem can be ruled out. Nevertheless, older RV measure- ments from Eggen & Sandage (1959) combined with Carney & Latham (1987) suggested that HIP 11952 may be a spectroscopic binary SB1 (Fouts 1987). However, our measurements can neither reject nor confirm this claim yet. The updated parameters of HIP 11952 are given in Table 1. HIP 11952 is listed as a member of the metal-poor stellar stream detected by Arifyanto & Fuchs (2006), a group of pu- tative thick disk stars moving on similar orbits in the Galactic potential and currently lagging the Local Standard of Rest by Vlag ≈ 80 km s−1 . As such, HIP 11952 might stem from one of the Milky Way’s former satellite galaxies that once got tidally disrupted. Alternatively, Minchev et al. (2009) showed that the stream might consist of in situ disk stars being scattered towards common orbits through a merger-induced perturbation of the old disk ∼ 1.9 Gyr ago. It is also possible that there is a connection to the Arcturus stream at Vlag ≈ 100 which itself could have a tidal or a dynamical origin (see discussion in Klement (2010) for more details). 5200 5400 5600 24 24.2 24.4 24.6 Fig. 2. RV observations of HIP 11952, taken with FEROS from August 2009 until January 2011 (upper panel). We calculated a single Keplerian fit to the data (solid line) for the outer compo- nent. A multi-component Keplerian fit is presented in Fig.9, see Table. 3. The lower panel shows a Generalized Lomb-Scargle (GLS) periodogram of the whole RV data set. The highest peak, marked with P1 corresponds to a period of 290 ± 16 d with a False Alarm Probability of ∼ 7 × 10−6 . Table 1. Stellar parameters of HIP 11952 Parameter value unit Spectral type∗ F2V − IV m(a) V 9.88 ± 0.02 mag Parallax(a) 8.67 ± 1.81 mas T∗ eff 5960 ± 150 K 6120 ± 150 K log g∗ 3.8 ± 0.3 cm2 /g 4.0 ± 0.3 cm2 /g [Fe/H]∗ −1.95 ± 0.09 dex −1.85 ± 0.09 dex R∗ ∗ 1.6 ± 0.1 R⊙ Mass∗ 0.83+0.05 −0.04 M⊙ Age(b) 12.8 ± 2.6 Gyr vrot sin i∗ 5.2 ± 1.0 km s−1 Prot/ sin i 15.7 ± 2.5 d ∗ this work a Hipparcos catalogue (Perryman 1997) b Feltzing et al. (2001) 3.2. Radial velocity The RV variation of HIP 11952 is shown in Fig. 2 (upper panel). During the observation campaigns we obtained 77 RV mea- surements (Table. 2). We applied the Generalized Lomb-Scargle (GLS) periodogram (Zechmeister & K¨urster 2009) to the RV data in order to search for periodicities. We found several signals in the periodogram, as shown in the lower panel of Fig. 2. The four highest signals are marked with P1, P2, P3 and P4. The highest peak P1 has a False Alarm Probability (FAP) of 7.2 × 10−6 and corresponds to a period of 3
  • 4. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 Fig. 3. The residual RV after removing the 290 d periodicity. The periodogram in the upper panel shows two peaks at 6.95 d and 1.16 d. The 1.16 d is identified as a harmonic of 6.95 d (1/1.16 + 1/6.95 = 1.0). The lower panel shows the phase folded RVs with a period of 6.95 d. The solid line shows a Keplerian fit for the residual RV variation. 290 ± 16 d. We computed a Keplerian fit to the data, shown as the solid line in the upper panel of Fig. 2. The parameters of this fit are given in Table 3. After removing the 290 d signal, the peaks P2 and P3 disap- pear. However, the peak P4 remains, which means that this sig- nal is not an alias of P1. The signal P4 corresponds to a period of 6.95 d with FAP= 8 × 10−4 . In the residual RV periodogram, we also observed a signal at 1.16 d (Fig. 3 upper panel), which is obviously a harmonic of the 6.95 d period (1/6.95 + 1/1.16 = 1.0). In the lower panel of Fig. 3 we have phase folded the RVs with P = 6.95 d and show a Keplerian fit with the parame- ters listed in Table 3. After excluding stellar activity as the cause for the RV variations in the next sections, we are going to inter- pret the signals P1 and P4 as orbital periods of unseen low-mass companions (section 4 below). 3.3. Stellar rotation A systematic investigation of the stellar activity is mandatory to avoid wrong interpretations of the observed RV variations. There are several possibilities to probe the stellar activity. The line profile asymmetry (bisector) and the Ca ii lines are known as reliable stellar activity indicators. These activity indicators, if they show periodic variations, can be used to determine the stellar rotation period. Besides the spectroscopic methods, pho- tometric observations are also commonly used to find the stellar rotation period. HIP 11952 itself is not a star with high stellar activity. This is inferred from the absence of emission cores in Ca ii K (λ3934) and H (λ3967). Furthermore, no Hα emission line was observed in the spectra. The projected rotational velocity is also rela- tively low (v sin i = 5.2 km s−1 ) compared to other F-type dwarf stars (de Medeiros & Mayor 1999). Finally, using the relation P/ sin i = 2π R∗/v sin i, the maximum stellar rotation period is found to be 15.7±2.5 d. 3.3.1. Line profile asymmetry The line profile asymmetry can be quantified by the bisector ve- locity span (BVS). A definition of the BVS is given, e.g., in Hatzes (1996). We measured the BVS of the stellar spectra and searched for any periodicity that might be related to the RV vari- ation. In the GLS periodogram of BVS we found, however, no significant peak. Thus, we cannot use the bisector to determine the stellar rotation period. We then searched for a correlation between BVS and RV to find out whether the observed RV vari- ation is due to rotational modulation. We computed a correlation coefficient c = 0.1 between the RV and BVS (Fig. 4). This value indicates that the RV variation is not correlated with the BVS. However, it does not give any hint about the stellar rotation pe- riod. Fig. 4. The figure shows the measurements of BVS, ploted against residual RVs. The plot shows no correlation between BVS and RV. We computed a correlation coefficient c = 0.1. 3.3.2. Ca ii analysis As mentioned before we found no emission cores in the Ca ii H & K lines (λλ3934,3968) which are, in general, excellent stel- lar activity indicators to probe the rotational modulation of the star. Nevertheless, we investigated to possibility to use Ca ii K lines to find any indication of stellar activity. We calculated the stellar activity index, known as S -index, similar to the method described in Vaughan et al. (1978) and Santos et al. (2000). We found a significant periodicity of 36 d in the periodogram, but the error bar of the individual measurement is large. This value is also close to the typical observational window of about one month. Thus, also by considering P/ sin i value, we do not adopt this as the stellar rotation period. We exploited the capability of FEROS to investigate the Ca ii lines λλ8498,8662, following the technique presented e.g. by 4
  • 5. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 Table 2. RV variation of HIP 11952 JD RV error JD RV error −2450000 (m/s) (m/s) −2450000 (m/s) (m/s) 5052.8320 24262.99 46.17 5256.5331 24342.01 35.92 5053.9449 24398.12 26.57 5258.5279 24461.25 33.87 5054.9025 24388.69 26.20 5262.5458 24312.08 39.98 5056.7834 24447.32 31.11 5268.5034 24367.11 33.39 5057.9442 24257.13 20.34 5349.9353 24151.48 35.26 5060.8739 24280.16 21.22 5351.9288 24351.42 26.78 5063.8340 24418.54 41.10 5357.9251 24358.36 50.76 5064.8816 24338.95 28.32 5358.9292 24410.18 36.79 5068.8975 24302.92 34.02 5396.8522 24319.13 45.60 5071.9278 24242.14 22.27 5399.8478 24342.35 40.48 5072.9043 24306.86 24.57 5400.9186 24334.94 34.61 5073.7695 24300.97 24.45 5401.8807 24423.26 29.23 5074.9106 24317.19 28.81 5402.8758 24473.63 38.74 5075.8276 24375.46 30.57 5403.8058 24401.82 37.24 5107.7807 24126.26 44.43 5404.8730 24261.93 41.39 5108.8472 24079.34 39.29 5405.8598 24302.11 35.31 5109.7623 24143.82 30.85 5407.8695 24314.65 34.22 5109.7800 24221.74 27.24 5430.8126 24397.33 32.08 5110.7724 24281.43 29.66 5432.7291 24217.71 40.97 5112.7689 24325.34 28.45 5434.8370 24277.26 30.19 5112.7808 24281.70 29.68 5436.8532 24391.30 29.11 5113.7627 24226.34 32.90 5437.8192 24431.76 34.17 5164.7436 24276.41 29.50 5491.5926 24425.56 46.26 5166.7405 24373.37 34.20 5492.7290 24320.54 42.54 5167.6315 24342.35 32.31 5493.7936 24351.56 32.04 5168.6411 24288.16 21.91 5494.8416 24371.35 37.64 5170.7375 24230.07 34.85 5497.8011 24298.56 30.49 5172.6838 24297.89 41.50 5521.6567 24476.62 22.33 5174.6691 24319.12 26.32 5523.6496 24471.39 25.01 5181.5403 24428.12 32.69 5524.5791 24387.17 17.30 5198.5285 24328.64 35.72 5525.6558 24390.15 17.25 5199.6074 24340.87 28.77 5526.6492 24439.61 15.05 5200.6219 24390.29 30.19 5527.6314 24449.32 25.68 5201.5849 24400.51 21.81 5583.6321 24489.01 14.01 5202.6165 24441.51 25.55 5584.5958 24630.11 21.68 5203.5918 24288.39 30.66 5585.6161 24437.91 36.76 5204.6389 24263.70 31.88 5587.6035 24290.41 50.00 5254.5427 24299.59 41.61 5588.6275 24391.65 66.95 5255.5272 24402.04 40.17 Larson (1993), where Ca ii λ8662 was used to determine the stel- lar rotation period. Setiawan et al. (2010), for example, used the equivalent width (EW) variations of Ca ii λ8498 as a stellar ac- tivity indicator to estimate a stellar rotation period that agrees with the bisector analysis. The EW variation of Ca λ8498 of HIP 11952 indeed shows a periodic variation with P = 1.76 d with a FAP of few percent. Thus, it is only marginaly significant. Following Larson (1993) we then measured the EW variation of Ca ii λ8662. Interestingly, we found a significant periodicity in the EW variation of Ca ii λ8662. The signal corresponds to a peak at a period of P = 4.82 d with FAP= 8 × 10−3 . Fig. 6 shows the EW variation and GLS periodogram of the Ca ii λ8662 line. Assuming that this feature is related to the stellar magnetic activity caused by starspots, the period is most-likely linked to the stellar rotation. 3.3.3. Photometric data Photometric V band observations of HIP 11952 are available in the Hipparcos catalogue. Unfortunately, the data set is very sparse, with 72 photometric measurements over a time span of 893 d. The minimum time-interval between data points is ≈ 0.014d, and the typical photometric errors are ≈ 0.02 mag. Due to long-term gaps of several days in the data set, period- icities of a few days cannot be reliably detected. The sampling allows for the detection of very short-term (few hours) as well as long-term (20 d) variations. We searched for periodicity in the photometric data us- ing a combination of two periodogram analysis techniques: the Scargle periodogram (Scargle 1982) and the CLEAN algorithm (Roberts 1987). The combination of these two techniques provides a reliable period detection as outlined in several rotational period and variability studies (e.g., Rodr´ıguez-Ledesma et al. 2009). Based on the Scargle periodogram, we detected significant signals at P1 = 0.072, P2 = 0.33 and at P3 = 2 d. When the CLEAN algorithm is applied, the 2 d signal is removed and therefore, we concluded that it is probably a false peak or alias due to the clumpy data sampling. Both the 0.072 and 0.33 d periods in the power spectrum remains (Fig. 7), with FAP, based on the Scargle periodogram, of 0.5 % and 1 %, respectively. All other peaks in Fig. 6 have larger FAPs. We 5
  • 6. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 Fig. 5. Upper panel: The measurements of Ca ii λ3934 S -index. Lower panel: The GLS periodogram of Ca ii λ3934 shows a clear peak corresponding to a period of P = 36 d. However, the error bar of the individual measurement is large and the period is close to the observational time window of about 1 month. Fig. 6. Upper panel: The measurements of Ca ii λ8662 EW vari- ation. Lower panel: The GLS periodogram of Ca ii λ8662 shows a clear peak corresponding to a period of P = 4.82 d. The dashed line shows the period of the RV variations. have also computed the statistical F-test and a derived FAP from it (Scholz et al. 2004 and Rodr´ıguez-Ledesma et al. 2009). The FAPFtest represents the probability that the period found is caused by variations in the photometric noise, and therefore it is independent of the periodogram analysis. The FAP Ftest de- rived for the 0.072 and 0.33 d detected peaks are 5 % and 11 %, respectively. Fig. 8 shows the phase folded light curves with the periods of 0.072 and 0.33 d. Due to the quality of the data set, however, it is difficult to ensure the significance of these periods. Our analysis suggests some evidence for short-term photometric variations, which might be interpreted as possible pulsation modes in this F-type star. 5e-06 1e-05 1.5e-05 2e-05 2.5e-05 3e-05 3.5e-05 4e-05 0.1 1 10 100 CLEANpower Period [day] Fig. 7. The photometric observations of HIP 11952 show two peaks at P = 0.3 and P = 0.072 d. 9.8 9.82 9.84 9.86 9.88 9.9 9.92 9.94 9.96 9.98 0 0.5 1 1.5 2 V[mag] Phase P = 0.072 d 9.8 9.82 9.84 9.86 9.88 9.9 9.92 9.94 9.96 9.98 0 0.5 1 1.5 2 V[mag] Phase P = 0.33 d Fig. 8. Phase folded light curves from the Hipparcos photometric data. Based on the analysis of the stellar activity indicators, we as- sume a stellar rotation period of 4.8 d, as derived from the Ca ii 6
  • 7. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 λ8662. Additionally, there might be evidence for stellar pulsa- tions with intra-day periodicities 4. Planetary companion Since the long-period and short-period RV variations have dif- ferent characteristics from those of the stellar activity indicators, we concluded that they are most likely caused by the presence of unseen companions. We computed the orbital solution by using a two- components Keplerian model. In Fig. 9 we show the calcu- lated orbital fit and residual velocities. The orbital paramaters are given in Table 3. With a derived primary mass of 0.83 M⊙, we calculated the minimum masses of the companions m2 sin i = 0.78 MJup for the inner and m2 sin i = 2.93 MJup for the outer companion. The orbital semi-major axes are 0.07 AU and 0.81 AU, respectively. The planetary orbits have moderate eccentricities of 0.35 and 0.27, which seem to be not unusual, based on the statistics of the eccentricity of exoplanets (see e.g., www.exoplanet.eu). 24 24.2 24.4 24.6 5200 5400 5600 -0.2 -0.1 0 0.1 0.2 Fig. 9. Orbital solution of a two-planets Keplerian fit (upper panel). The orbital parameters are listed in Table.3. The resid- ual velocities are shown in the lower panel. Table 3. Orbital parameters for HIP 11952 b and c Parameter Unit HIP 11952b HIP 11952c P d 290.0 ± 16.2 6.95 ± 0.01 T0 JD 5402.0 ± 1.3 5029.2 ± 0.04 −2450000 e 0.27 ± 0.10 0.35 ± 0.24 ω1 deg 59.3 ± 2.5 61.2 ± 6.6 K1 m s−1 105.2 ± 14.7 100.3 ± 19.4 m2 sin i MJup 2.93 ± 0.42 0.78 ± 0.16 a AU 0.81 ± 0.02 0.07 ± 0.01 V0 km s−1 24.365 ± 0.01 σ(O − C) m s−1 70.22 reduced χ2 1.3 When calculating the orbital solutions, we obtained a rela- tively large σ(O − C) value. A possible explanation to this is the presence of another unseen companion or RV jitter due to the in- teraction between the two companions. Because of the absence of the emission cores in Ca ii H & K, the large σ(O − C) is most likely not due to the intrinsic stellar variability. We investigated the residual velocities and found a signifi- cant signal at ∼40 days. However, the amplitude of the residual RV variations is in the order of the error bars. Moreover, the window function shows also a peak close to this period. To de- tect further low-amplitude RV variations, more intensive high- precise RV measurements are needed. From the knowledge of Prot/ sin i = 15.7 d (Table 1) and the rotation period P = 4.82 d, we derived an inclination angle of the stellar rotation of 18◦ . Assuming that the orbital inclination of the companion does not differ much from the stellar rotation inclination angle, we estimated true companion masses of 2.5 and 9.5 MJup. 5. Discussion A fundamental parameter of HIP 11952 is the stellar metallic- ity. The metallicity issue here is particularly interesting, since according to the theory of planet formation via core-accretion processes, planetary companions around such metal poor stars like HIP 11952 are not expected. The majority of the planet host main-sequence stars are metal rich (Fig. 10, upper panel). Fig. 10. The metallicity distribution of stars hosting planets. Solid lines in the top and bottom panels represent dwarfs and giants, respectively (data from the exoplanet encyclopedia www.exoplanet.eu). Dash lines show data from the exoplanet orbit database (Wright et al. 2011) which does not discriminate between dwarf and giant stars. For dwarf stars, the metallicity generally reflects the ini- tial metallicity at star formation. Assuming that HIP 11952 is a dwarf or a turn off star, its initial low metallicity makes HIP 11952 unusual among the planetary systems discovered so far (Fig. 10). 7
  • 8. J. Setiawan et al.: Planetary companions around the metal-poor star HIP 11952 The both planetary companions around HIP 11952 belong to only few planets that have been discovered in low metallic- ity systems ([Fe/H]<-1.5), comparable to HIP 13044 reported by Setiawan et al. (2010). Note that, so far also only few plan- ets have been detected with host star’s metallicities -1<[Fe/H]<- 0.5. This group includes ∼60% main-sequence and ∼40% giants. From the current statistics, about 50% of the giant planet-host stars have sub-solar metallicities. Whether the metallicity of a giant reflects its initial metal- licity is still under debate. The convective envelopes in giant star are much more extended than in main-sequence stars (e.g. Pasquini et al. 2007) and they might alter their surface chemical abundances. The presence and formation of planets around metal-poor stars, in particular those with metallicities [Fe/H]< −1.5 are still poorly understood. According to the core accretion the- ory (e.g., Safronov 1969; Pollack et al. 1996) high metallicity is required for the formation of planets. Alternatively, planets around metal-poor stars could form by gravitational disk in- stability processes (e.g., Boss 1998) or other mechanisms (see e.g., Nayakshin 2011). According to Nayakshin (2011) planets around such metal-poor stars have no solid cores and may form as a result of the second collapse (H2 disassociation) of their embryos and radial migrations. Further discoveries of planets around metal-poor stars can provide more constraints on cur- rently different planet formation theories. The planets around HIP 11952 have orbits with moderate eccentricities. To examine the dynamical stability of the sys- tem, numerical simulations are necessary to find stable planetary configurations, see e.g., Barnes & Quinn (2004). Following their calculations, systems with two or more planets in large separated orbits are fully stable. The orbits of HIP 11952 b and c are in a 42:1 ratio and thus far beyond the 10:1 resonance. Therefore, the system HIP 11952 is most likely fully stable. Finally, HIP 11952 and its planets are among the oldest plan- etary systems known. HIP 11952 is also older than typical stellar ages in the Galactic thick disk. A possible connection to a metal- poor stellar stream reported by Arifyanto & Fuchs (2006) is an interesting aspect since it suggests that HIP 11952 might actu- ally belong to a part of the thick disk that has been accreted from a disrupted former satellite galaxy, similar to HIP 13044. The age estimation of 12.8 ± 2.6 Gyr given by Feltzing et al. (2001) is 1 Gyr older than that of HD 114752 which has an estimated age of 11.8 ± 3.9 Gyr. HIP 11952’s age is close to the one of HE 1523-0901, which is the oldest star (13.2 ± 2.7 Gyr) known so far (Frebel et al. 2007). The old stellar age is supported by the very low metallicity of HIP 11952 which is typical of Population II stars. 6. Conclusions We observed RV variations of HIP 11952. The spectroscopic and photometric analysis of the star show that the periodic RV vari- ations are not caused by the intrinsic stellar variability. Based on our analysis, we detected two planetary companions around the metal poor star HIP 11952 with orbital periods of 6.95 d and 290 d. We found evidence for intra-day stellar pulsations and ob- served a stellar rotation of 4.82 d. We computed the companion’s minimum mass of m2 sin i = 0.78 MJup for the inner planet and m2 sin i = 2.93 MJup for the outer one. Additional high-precise RV measurements are necessary to improve the orbital solution and put more constraints on the eccentricities. Further RV obser- vations might also reveal the presence of other low-mass com- panions in the system. From the metal abundance analysis that we carried out, we obtained an average [Fe/H]= −1.90 ± 0.06 from Fe i and Fe ii, respectively, which makes HIP 11952 b and c the first planets discovered around a dwarf or subgiant star with [Fe/H]<-1.5. This discovery is also remarkable since the plane- tary system most likely belong to the first generation of planetary systems in the Milky Way. Acknowledgements. We thank N. Christlieb for the support and useful discus- sions. We also thank A. Mueller, M. Zechmeister, J. Carson, W. Wang, C. Ruhland, T. S. Hartung, S. Albrecht, R. Lachaume and T. Anguita for observ- ing HIP 11952 with FEROS. References Arifyanto, M. I., & Fuchs, B., 2006, A&A, 449, 533 Barnes, R. & Quinn, Th., 2004, ApJ, 611, 494 Bessell, M. S., 2000, PASP, 112, 961 Bouchy, F., et al. 2010, A&A, 519, A98 Boss, A. P., 1998, ApJ, 503, 923 Caffau, E., Ludwig, H.-G., Steffen, M., Freytag, B., & Bonifacio, P., 2011, Sol. 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