Spectrum Analysis of Bright Kepler late B- to early F- Stars

Spectrum Analysis of Bright Kepler late B- to early F- Starsthanks: Based on observations with the 2-m Alfred-Jensch-Telescope of the Thüringer Landessternwarte Tautenburg

A. Tkachenko, H. Lehmann, B. Smalley, and K. Uytterhoeven
Instituut voor Sterrenkunde, K.U. Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
Thüringer Landessternwarte Tautenburg, 07778 Tautenburg, Germany
Astrophysics Group, Keele University, Staffordshire, ST5 5BG, United Kingdom
Instituto de Astrofísica de Canarias (IAC), Calle Via Lactea s/n, 38205 La Laguna, Tenerife, Spain
Dept. Astrofísica, Universidad de La Laguna (ULL), Tenerife, Spain
Postdoctoral Fellow of the Fund for Scientific Research (FWO), Flanders, Belgium
Received date; accepted date
Abstract

The satellite mission was designed to search for transiting exoplanets and delivers single band-pass light curves of a huge number of stars observed in the Cygnus-Lyra region. At the same time, it opens a new window for asteroseismology. In order to accomplish one of the required preconditions for the asteroseismic modelling of the stars, namely knowledge of their precise fundamental parameters, ground-based spectroscopic and/or photometric follow-up observations are needed. We aim to derive fundamental parameters and individual abundances for a sample of 18  Dor/ Sct and 8 SPB/ Cep candidate stars in the satellite field of view. We use the spectral synthesis method to model newly obtained, high-resolution spectra of 26 stars in order to derive their fundamental parameters like , , , , [M/H], and individual abundances with high accuracy. The stars are then placed into the log()–log(g) diagram and the obtained spectroscopic classification is compared to the existing photometric one. For most A- and F-type stars, the derived  values agree within the measurement errors with the values given in the Kepler Input Catalog (KIC). For hot stars, the KIC temperatures appear to be systematically underestimated, in agreement with previous findings. We also find that the temperatures derived from our spectra agree reasonably well with those derived from the SED fitting. According to their position in the log()–log(g) diagram, two stars are expected  Dor stars, four stars are expected  Sct stars, and four stars are possibly  Sct stars at the blue edge of the instability strip. Two stars are confirmed SPB variables, and one star falls into the SPB instability region but its parameters might be biased by binarity. Two of the four stars that fall into the  Sct instability region show  Dor-type oscillation in their light curves implying that  Dor-like oscillations are much more common among the  Sct stars than is theoretically expected. Moreover, one of the stars located at the hot border of the  Sct instability strip is classified as  Sct- Dor hybrid pulsator from its light curve analysis. Given that these findings are fully consistent with recent investigations, we conclude that a revision of the  Dor and  Sct instability strips is essential.

keywords:
Stars: variables: delta Scuti – Stars: fundamental parameters – Stars: abundances.
pagerange: Spectrum Analysis of Bright Kepler late B- to early F- Starsthanks: Based on observations with the 2-m Alfred-Jensch-Telescope of the Thüringer Landessternwarte TautenburgReferencespubyear: 2011

1 Introduction

Though the primary goal of actual space missions like (Convection Rotation and Planetary Transits, Auvergne et al., 2009) and (Gilliland et al., 2010) is to search for transiting exoplanet systems, the almost uninterrupted time series of high-quality data led to the discovery of a huge number of pulsating stars. This opened up a new era in asteroseismology, the study of stellar interiors via the interpretation of pulsation patterns observed at the surfaces of the stars.

The amount of data delivered by these space missions is huge implying the need in establishing methods of automatic classification of the stars. In the case of data, such methods are usually based on the (single band-pass) light curves morphology and/or interpretation of the corresponding Fourier spectrum. Quite often, this leads to simultaneous assignment of the same object to different classes of variable stars. The photometric signal of e.g., an ellipsoidal variable can easily be misinterpreted by rotational modulation due to stellar surface inhomogeneities or by low-frequency stellar pulsations. Moreover, there are classes of pulsating stars like the Gamma Doradus and SPB stars showing the same type of variability in their light curves but residing at different locations in the Hertzsprung-Russell diagram. The way to discriminate between them is to derive their effective temperatures and . This is one reason why ground-based follow-up spectroscopic and/or multi-colour photometric observations are essential (see the ground-based follow-up campaign for Kepler asteroseismic targets as described by Uytterhoeven et al. 2010a,b). Moreover, high-resolution, high signal-to-noise (S/N) spectroscopic observations allow to unreveal the nature of binary and rotationally modulated stars by observing systematic Doppler shifts of all lines in the spectrum or “moving bumps” across the line profiles of certain chemical elements, respectively. The evaluated from ground-based data atmospheric parameters like effective temperature , surface gravity , and metallicity [M/H] can further be used for an in depth asteroseismic modelling of stars in combination with high quality photometric data gathered by the satellites.

In this paper, we focus on SPB/ Cep and  Dor/ Sct candidate stars in the field of view. The term “Slowly Pulsating B stars” (SPB) was introduced by Waelkens (1991) who detected multiperiodic brightness and colour variations for seven stars with spectral types between B3 and B9. These stars have masses between 3 and 7 M. The observed photometric and radial velocity (RV) variations are interpreted in terms of low degree , high radial order gravity mode pulsations characterized by intrinsic periods roughly between 0.8 and 3 days (e.g., De Cat et al., 2004; Aerts et al., 2010). The theoretical instability strip of SPBs overlaps with the instability region of  Cepheii ( Cep) pulsators, which have higher masses (between 8 and 18 M) and are typically hotter than SPB variables.  Cep stars pulsate in low radial order pressure- (p-) and gravity- (g-) modes with periods between 2 and 8 hours (Aerts et al., 2010).

 Dor and  Sct-type stars are the two other classes of variable pulsating stars where the theoretical instability strips overlap. Similar to SPB stars,  Dor stars pulsate in low degree, high order g-modes with periods between 0.5 and 3 days (Kaye et al., 1999). It is difficult to discriminate between  Dor and SPB type pulsators based on the light curve morphology and Fourier spectrum only without having information about the temperature of the star. The observed variability of the  Sct stars is understood in terms of low-order p-modes with periods between 18 min and 8 h (Aerts et al., 2010). The fact that  Dor and  Sct instability regions overlap suggests that hybrid pulsators showing both pulsation characteristics, i.e, high-order g-modes and lower-order p- and g-modes, must exist.

In this paper, we present the results of the spectroscopic analysis of 8 SPB/ Cep and 18  Dor/ Sct candidate stars in the field of view. After deriving the fundamental parameters of our sample stars, we classify them according to the expected type of variability and compare the results to the classification expected from the light curve analysis. For every star in the sample, we additionally check the spectra for RV and line profile variation (LPV) to unreveal possible binary nature of the star. The observational material and the data reduction procedure are described in Sect. 2. The method and the results of spectrum analysis are presented in Sect. 3 and 4, respectively. We discuss the results obtained for late B- early A-type stars in Sect. 4.1 and for intermediate A- to early F-type stars in Sect. 4.2. In Sect. 6, we compare our derived fundamental parameters with the KIC values, the overall conclusions are presented in Sect. 7.

2 Observations

KIC Designation SpT
02571868 HD    182271 3 8.7 A0
02859567 HD    184217 2 8.3 A0
02987660 HD    182634 3 8.0 A3
03629496 HD    177877 2 8.3 A0
04180199 HD    225718 9 10.1
04989900 HD    175841 2 6.9 A2
05356349 HD    181680 2 8.1 A0
05437206 HD    179936 1 8.4 A2
06668729 HD    175536 1 8.6 A2
07304385 TYC 3145-901-1 6 10.1
07827131 HD    184695 2 8.0 A2
07974841 TYC 3148-1470-1 2 8.2
08018827 HD    179817 2 8.1 B9
08324268 HD    189160 4 8.0 A0p
08351193 HD    177152 4 7.6 B9
08489712 HD    181598 2 8.6 A0
08915335 HD    190566 6 9.6 A2
09291618 BD +452961 6 9.7 A5
09351622 BD +452955 4 9.1 F0
10096499 HD    189013 2 6.9 A2
10537907 BD +472856 7 9.9 F0
10974032 HD    182828 2 8.4 A0
11572666 TYC 3565-1155-1 5 9.9
11874676 BD +493106 7 10.1 A5
12153021 HD    179617 3 8.7 A2
12217324 HD    186774 2 8.3 A0
Table 1: Journal of observations. All spectra have been taken in 2011. gives the number of acquired spectra, the visual magnitude, and SpT the spectral type as is indicated in the SIMBAD database.

We base our analysis on high-resolution, high S/N spectra taken with the Coudé-Echelle spectrograph attached to the 2-m telescope of the Thüringer Landessternwarte Tautenburg. The spectra have a resolution of 32000 and cover the wavelength range from 4720 to 7400 Å. Table 1 represents the journal of observations and gives the Kepler Input Catalog (KIC) number, an alternative designation, the number of obtained spectra, the visual magnitude, and the spectral type as is indicated in the SIMBAD database. The number of acquired spectra is different for different stars since we aimed to reach a S/N of about 100 for the mean, averaged spectrum of each object.

KIC  (km s)  (km s) SpT SpT
02571868 7930 3.56 –0.21 7880 3.42 –0.22 205.0 2.80 A6 IV-III A6 IV-III
02859567 9418 4.15 –0.05 9970 3.87 –0.57 200.0 2.0 A0.5 V B9.5 IV-V
02987660 7305 3.59 –0.01 7525 3.46 –0.27 140.0 2.95 A9 IV-III A8 IV-III
03629496 9796 4.50 +0.43 11 320 3.75 –0.43 160.0 2.0 B9.5 V B8.5 IV
04180199 7220 3.91 –0.15 7390 4.05 –0.56 180.0 0.95 A9.5 IV-V A9 IV-V
04989900 7900 3.51 –1.87 8400 3.08 –0.23 191.0 2.33 A6 IV-III A4 III-II
05356349 8295 3.91 –0.06 8820 3.51 –0.55 197.0 2.06 A5 IV-V A2.5 IV-III
05437206 7710 3.67 –0.03 7870 3.10 –0.24 125.5 2.75 A7 IV A6 III
06668729 7770 3.49 –0.16 7800 3.49 –0.45 128.0 2.33 A6.5 IV-III A6.5 IV-III
07304385 6890 3.60 –0.06 7020 3.65 –0.32 64.5 2.45 F2 IV F1 IV
07827131 8285 3.49 –0.19 8015 2.79 –1.15(Fe) 228.0 4.85 A4.5 IV-III A6 II-III
07974841 8930 3.82 –0.15 10 650 3.87 +0.00 33.0 2.0 A2 IV-V B9 IV-V
08018827 9188 3.65 –0.14 10 945 3.98 –0.44 243.0 2.0 A1.5 IV-III B8.5 V-IV
08324268 9045 4.32 +0.27 11 370 3.35 +0.65 31.0 2.0 A1.5 V B8.5 III
08351193 8467 3.99 –0.14 9980 3.80 –2.35(Fe) 180.0 2.0 A4 IV-V A0 IV-V
08489712 8350 3.52 –0.33 8270 2.90 –0.60 119.0 1.25 A4 IV-III A4.5 III-II
08915335 7770 3.48 –0.13 8000 3.15 –0.10 200.0 1.58 A6.5 IV-III A5.5 III
09291618 7610 3.61 –0.08 7530 3.56 –0.36 177.0 1.10 A7.5 IV-III A8 IV-III
09351622 7450 3.53 –0.22 7515 3.17 –0.24 78.0 2.90 A8 IV-III A7.5 III
10096499 7780 4.13 –0.02 7960 3.27 –0.60 89.5 2.78 A7 V-IV A5.5 III-IV
10537907 7500 3.45 –0.27 7400 3.51 –0.45 112.0 2.80 A8 IV-III A8.5 IV-III
10974032 9038 3.70 –0.33 9750 3.75 –0.80(Fe) 270.0 2.0 A2 IV A0 IV
11572666 7040 3.49 –0.62 7265 4.10 –1.00(Fe) 180.5 1.90 F1 IV-III A9.5 V-IV
11874676 8220 4.00 –0.14 7885 3.57 –1.00(Fe) 203.5 2.97 A5 IV-V A6 IV-III
12153021 9041 3.90 –0.11 9010 3.50 –0.05 18.0 2.02 A2 IV-V A2 IV-III
12217324 10 434 3.93 –0.09 10 380 3.75 +0.22 19.0 2.0 B9 V-IV B9.5 IV
LPV detected; Stars with composite spectra
Table 2: Fundamental stellar parameters. The values labeled with “K” are taken from the KIC and given for comparison. Metallicity values labeled with “(Fe)” refer to the derived Fe abundance.

The data were reduced using standard ESO-MIDAS packages. The data reduction included bias and stray-light subtraction, cosmic rays filtering, flat fielding using a halogen lamp, wavelength calibration using a ThAr lamp, and normalisation to the local continuum. All spectra were additionally corrected in wavelength for individual instrumental shifts by using a large number of telluric O lines. The cross-correlation technique was used to measure the RVs from the single spectra so that the single spectra finally could be shifted and co-added to build the mean, high S/N averaged spectrum of each star.

We use publicly available both long- (time-resolution  30 min.) and short-cadence (time-resolution  1 min.) Kepler data to make an additional check for binarity, stellar activity and pulsations for each star in the sample. The Kepler data are released in quarters, i.e. periods between two spacecraft rolls. For this study, we use the data from quarters Q0-Q6 (May 2009 - September 2010) where available.

Figure 1: Fit of a part of the observed spectrum of KIC 02571868 (black, solid line) by synthetic spectra computed from our optimized parameters (red, dashed line) and assuming Fe abundance to vary within the quoted error bars of 0.15 dex (blue, dotted and green, dash dot dotted lines, respectively). Vertical light gray lines indicate positions of (strongest) Fe lines.

3 Method

Our code GSSP (Tkachenko et al., 2012) finds the optimum values of , , , , and  from the minimum in obtained from a comparison of the observed spectrum with the synthetic ones computed from all possible combinations of the above mentioned parameters. The errors of measurement (1 confidence level) are calculated from the statistics using the projections of the hypersurface of the from all grid points of all parameters onto the parameter in question. In this way, the estimated error bars include any possible model-inherent correlations between the parameters. Possible imperfection of the model like incorrect atomic data, non-LTE effects, or continuum normalization are not taken into account, of course. Fossati et al. (2007, 2008) state that the continuum normalization is a source of abundance uncertainty that can raise from about 0.1 to 0.2 dex for large . We corrected the observed spectra during the analysis for large-scale imperfections of the continua by adjusting them to the model continua. The errors of the fit become a bit larger in this way, due to the inclusion of additional free parameters. Thus we believe that the latter value mentioned by Fossati et al. (2007, 2008) is an upper limit given that the abundance uncertainty due to small-scale continuum imperfections should decrease with increasing number of analysed spectral lines.

In a recent study by Molenda-Żakowicz et al. (2013) the use of different methods and codes to derive atmospheric parameters for F, G, K, and M-type stars is compared, and lead the authors to conclude that the realistic accuracy in the determination of atmospheric parameters for these types of stars is  150 K in ,  0.15 dex in [Fe/H], and 0.3 dex in , even though error calculations for individual programs might result in smaller errors. Hence, we are aware of a possible underestimation of errors in Table 2.

In order to check how reliable our error estimates on elemental abundances are, we made an additional test represented in Figure 1. We have chosen KIC 02571868, the star with large value of  of 200 km s, as its broad and rather shallow lines should have a lower sensitivity to the elemental abundance changes than, e.g., the lines of slowly rotating star KIC 12217324. We would thus expect error bars to be larger for the star with broad lines, at least for the chemical elements represented by sufficient number of individual lines in the stellar spectrum (e.g., Fe). Figure 1 compares a part of the observed spectrum of KIC 02571868 with synthetic spectra computed assuming different Fe abundance that varies within the quoted error bars of 0.15 dex (see Table 3). These rather small changes in Fe abundance cause quite clear deviations in the synthetic spectra and hence the difference in the quality of the fit. The corresponding values of deviate from the optimal fit value by slightly more than 1 confidence level which is assumed to represent the errors of measurement as described above. The fact that the abundances of elements like Ti, Ca, etc. are derived for slowly rotating star KIC 12217324 with lower precision than it is actually for the fast rotator KIC 02571868, is due to significant difference in atmospheric parameters, and the temperature in particular. The above mentioned elements are represented by a few, rather weak lines in the spectrum of KIC 12217324, which obviously makes estimation of their abundances more challenging in this case and facilitates an increase of the corresponding error bars.

Figure 2: Fit of the observed (black, solid line) by synthetic spectra computed from our optimized parameters (red, dashed line) and from the values given in the KIC (green, dotted line). From top to bottom: KIC 02859567 and 03629496

A detailed description of the method and its application to the spectra of  Cep and SPB candidate stars as well as  Sct and  Dor candidate stars are given in Lehmann et al. (2011) and Tkachenko et al. (2012), respectively.

For the calculation of synthetic spectra, we use the LTE-based code SynthV (Tsymbal, 1996) which allows to compute the spectra based on individual elemental abundances. The code uses pre-calculated atmosphere models which have been computed with the most recent, parallelised version of the LLmodels program (Shulyak et al., 2004). Both programs make use of the VALD database (Kupka et al., 2000) for a pre-selection of atomic spectral lines. The main limitation of the LLmodels code is that the models are well suitable for early and intermediate spectral type stars but not for very hot and cool stars where non-LTE effects or absorption in molecular bands may become relevant, respectively.

4 Results

Table 2 summarizes the results of spectrum analysis for all stars of our sample. The first four columns of the table represent correspondingly the KIC-number of the star, and effective temperature , surface gravity , and metallicity as is indicated in the KIC. The five following columns list the stellar parameters derived from our spectra, while the last two columns represent the spectral types as estimated from  and  given in the KIC and determined in this work, respectively. In both cases, the spectral types and the luminosity classes have been derived using an interpolation in the tables published by Schmidt-Kaler (1982). Metallicity values labeled with “(Fe)” refer to the derived Fe abundance, the corresponding measurement errors are given in Table 3. For the eight hottest stars of the sample (late B- to early A-type stars), the micro-turbulent velocity was fixed to a standard value of 2 km s because of the strong correlation between and for higher temperatures (see Figure 2 in Lehmann et al. (2011)). In practice, this means that the errors in raise up to about 1.5 km s for stars with and to about 3–4 km s for stars hotter than 15 000 K. The results thus appear to be almost insensitive to the microturbulent velocity in this case.

Table 3 lists the elemental abundances derived for each target star. The metallicity given in the second column of the table refers to the initially derived chemical composition and was used as initial guess for the determination of the individual abundances. The latter are given relative to solar values, i.e. negative/positive values refer to an under-/overabundance of the corresponding element compared to the solar composition. We assume the chemical composition of the Sun given by Grevesse et al. (2007), corresponding values are listed in the header of Table 3 below the element designation. For five stars we have reached the lower metallicity limit of –0.8 dex in our grid of atmosphere models (KIC 07827131, 08351193, 10974032, 11572666 and 11874676) and give the derived Fe abundance instead. In all other cases, the derived Fe abundance matches the derived metallicity within the quoted error bars.

Similar to the results reported in two of our previous papers (Lehmann et al., 2011; Tkachenko et al., 2012), we find that the temperatures listed in the KIC are in general underestimated for the hotter stars. In the following, we discuss the results on individual stars in more detail.

4.1 Late B- early A-type stars

Two of eight stars, KIC 08351193 and 10974032, are found to be metal poor with metallicities below the lower limit of –0.8 dex in our grid of atmosphere models. Both stars show nearly solar He abundance and overabundance of Mg compared to the derived Fe content, while the spectrum of KIC 08351193 additionally exhibits strong enhancement of Si. Both are fast rotators and hotter than is expected from the KIC. The surface gravity is consistent with the one listed in the KIC in both cases. Balona et al. (2011) reports the effective temperatures of 10 210 K and 11 000400 K for KIC 08351193, determined from Strömgren photometry and from spectral energy distribution (SED) fitting to the combined SDSS, 2MASS, and Strömgren colours, accordingly. The first value agrees within the error bars with the one we determine spectroscopically in this study. The two spectra we obtained for KIC 10974032 is not enough to conclude about the presence of line profile variation (LPV). The light curve of this star is irregular, typical of that of an active star. The four spectra of KIC 08351193 do not show LPV either, though the star is classified as rotationally modulated by Balona et al. (2011).

KIC 02859567 and 03629496: two fast rotating late B-type stars showing large deviations of the derived parameters from those listed in the KIC. Both stars show significant underabundances of Fe compared to the solar composition though consistent with the derived metallicity in both cases. Both show about solar He content and slight overabundances of Si. The spectrum of KIC 02859567 additionally exhibits an excess in Mg. Figure 2 compares the observations with two synthetic spectra computed from our optimised and the KIC parameters in a small wavelength region around H. The big difference in the quality of the fit is primarily explained by the difference in the assumed temperatures and confirms the conclusion made byMolenda-Zakowicz et al. (2010) that given in the KIC is too low for stars hotter than about 7 000 K. The deviation in general becomes larger the hotter the stars. No signatures of binarity nor stellar activity could be found in the light curves of both stars. KIC 03629496 is classified by Balona (2011) as a beating star with a dominant contribution in the frequency range between 2 and 4 c d. KIC 02859567 in turn exhibits very low-amplitude photometric variability in the same frequency regime making it a SPB candidate.

KIC 07974841 and 08018827: Both stars show clear variability in their light curves. KIC 07974841 is found in the Washington Double Star Catalog as WDS 19466+4346. The primary and secondary components are assumed to be of 8.24 and 11.32 mag, correspondingly; the magnitude of the primary is consistent with the visual magnitude found in the SIMBAD database. The Kepler light curve of the star is too irregular to be explained by ellipsoidal effects occurring in close binary systems and is rather due to rotational modulation, stellar pulsations or a combination of both. Balona et al. (2011) classify the star as rotationally modulated SPB variable, where the rotation signal dominates the pulsation one. Our two spectra do not show any variability that could be attributed to the binary nature of the star, neither global Doppler shifts of spectral lines nor any signature of the second star in the residuals of spectrum fitting.

KIC He Fe Mg Si Ti Cr O Ca Sc Ni C Mn Y
–1.11 –4.59 –4.51 –4.53 –7.14 –6.40 –3.38 –5.73 –8.99 –5.81 –3.65 –6.65 –9.83
02571868 –0.22 –0.25 –0.10 +0.20 –0.50 –0.05 –0.60 +0.00 –0.10 –0.45 –0.15 –0.65 –0.15
02859567 –0.57 +0.07 –0.75 –0.15 –0.25
02987660 –0.27 –0.35 +0.20 +0.05 –0.30 –0.40 –0.35 –0.25 –0.20 –0.05 –0.05 –0.40
03629496 –0.43 –0.07 –0.55 –0.45 –0.05
04180199 –0.56 –0.75 –0.15 –0.20 –0.85 –0.50 –0.35 –0.55 –0.60 –0.20 –0.35
04989900 –0.23 –0.20 –0.15 +0.10 –0.50 –0.30 –0.10 –0.45 +0.10 –0.05 +0.00 –0.20
05356349 –0.55 –0.70 –0.05 –0.20 –1.15 –1.05 –0.40 –0.60 –0.70
05437206 –0.24 –0.20 +0.20 +0.10 –0.40 –0.15 –0.05 –0.25 –0.10 –0.20 –0.05 –0.45 –0.20
06668729 –0.45 –0.40 +0.00 –0.05 –0.80 –0.45 –0.25 –0.35 –0.40 –0.60 –0.20 –0.25 –0.40
07304385 –0.32 –0.30 –0.10 –0.15 –0.35 –0.25 –0.20 –0.25 –0.30 –0.10 –0.20 –0.30
07827131 –1.15(Fe) –1.15 -0.80 –0.55 –1.85 –1.30 –1.00 –0.90
07974841 +0.00 –0.92 +0.10 –0.35 –0.05 +0.15 +0.35
08018827 –0.44 +0.06 –0.45 +0.55 –0.55
08324268 +0.65 abundances are not evaluated
08351193 –2.35(Fe) +0.05 –2.35 –1.40 –1.20
08489712 –0.60 –0.50 –0.30 +0.00 –0.90 –0.50 –0.60 –0.30
08915335 –0.10 –0.05 +0.35 +0.80 –0.40 +0.20 –0.30 +0.00 –0.35 –0.25 –0.20 –0.35
09291618 –0.36 –0.40 –0.35 +0.20 –0.70 –0.55 –0.60 –0.50 –0.30 –0.10 –0.05
09351622 –0.24 –0.25 +0.00 +0.00 –0.40 –0.15 –0.15 –0.10 –0.25 –0.15 –0.15 –0.30
10096499 –0.60 –0.60 –0.10 –0.30 –0.80 –0.55 –0.30 –0.45 –0.65 –0.55 –0.45 –0.70
10537907 –0.45 –0.60 –0.20 –0.20 –0.50 –0.35 –0.25 –0.40 –0.55 –0.15 –0.40
10974032 –0.80(Fe) –0.04 –0.80 +0.15 –0.50
11572666 –1.00(Fe) –1.00 –0.40 –0.10 –0.95 –1.00 –0.80 –1.30 –0.65 –0.25 –0.70
11874676 –1.00(Fe) –1.00 –0.10 –0.05 –1.00 –1.20 –0.65 –1.00 –0.75 –0.55
12153021 –0.05 +0.00 –0.10 +0.00 –0.10 –0.15 +0.05 –0.05 –0.30 –0.35
12217324 +0.22 +0.00 +0.30 –0.15 +0.10 +0.25 +0.55 –0.25 +0.15
Table 3: Metallicity and elemental abundances relative to solar ones in dex. Metallicity values labeled with “(Fe)” refer to the derived Fe abundance.

KIC 08018827 is reported by Balona et al. (2011) to be of B9 spectral type. Observed brightness variations are attributed to rotation effects. Figure 3 shows a small portion of the Kepler light curve of this star. The light curve seems to be very regular showing both primary and secondary eclipses occurring every 0.4 days. The fact that the secondary eclipse occurs exactly at phase 0.5 relative to the primary minimum points towards a circular orbit which is expected for such close binary systems. Our two spectra is not enough to confirm binarity spectroscopically, however. The spectroscopically derived value of the effective temperature is right in between the two values reported by Balona et al. (2011) though closer to the one obtained from the SED fitting. Both stars are found to be much hotter than is expected from the KIC. In both cases we find that Fe and Si abundances are consistent with the derived metallicity while Mg is strongly enhanced for KIC 08018827 and slightly depleted for KIC 07974841. The latter star additionally exhibits strong depletion of He while nearly solar content of He is found for the former. Figure 4 compares the H line profile of KIC 07974841 (black, solid line) with the two synthetic profiles computed from our optimised parameters (red, dashed line) and from those listed in the KIC (green, dotted line). The difference is clearly visible showing that the KIC underestimates the temperature.

Figure 3: Part of the Kepler light curve of KIC 08018827.
Figure 4: Same as Fig. 2 but for KIC 07974841.
Figure 5: LSD-profiles computed from four individual spectra of KIC 08324268. The average, dashed profile is given for comparison for better visibility of LPV.

KIC 08324268: The star was classified as a chemically peculiar (CP) Si star by Zirin (1951) and is found in the Washington Double Star Catalog as WDS 19586+4416. Balona et al. (2011) report an effective temperature of about 14 4002 000 K which is much higher than the temperature we derive in this work. From the light curve, the star seems to be a monoperiodic variable with a period of about 2 days, attributed by Balona et al. (2011) to rotational modulation due to stellar surface inhomogeneities. Our four spectra show clear variability caused by moving bumps across the line profiles. Figure 5 shows these bumps in the least-squares deconvolved (LSD, Donati et al. (1997)) profiles that are shifted in Y-axis for clarity. Given that there is no signature of the second star in the the spectra nor Doppler shifts of the spectral lines pointing to binarity, we can exclude binarity as a cause of the observed variability. The strong variability of KIC 08324268 does not allow to obtain a reasonable fit of its mean spectrum. The derived fundamental parameters of the star are strongly affected by the variability and thus can be unreliable. Given that our fit of the mean observed spectrum is fairly bad, no individual abundances are available for this star.

KIC 12217324: this is the sharpest-lined object among all late B- early A-type stars in our sample. The derived effective temperature is right in between the two values reported by Balona et al. (2011) and agrees with them within the error bars. Our fundamental parameters are also in good agreement with those listed in the KIC. The photometric variability of the star is attributed by Balona et al. (2011) to rotation effects. Our two spectra is not enough to confirm these findings spectroscopically. The star does not show any peculiarities in individual abundances except for a small depletion of Mg and O and a slight excess of Cr.

4.1.1 Position in the log()–log(g) diagram

In this section, we discuss the positions of the stars in the log()–log(g) diagram with respect to the theoretical SPB and  Cep instability strips as described by Miglio et al. (2007). Figure 6 shows the position of the stars in the log()–log(g) diagram together with the theoretical SPB and  Cep instability strips, shown for two different values of metallicity – solar (dashed lines) and sub-solar (solid lines).

Figure 6: Location of the late B- early A-type stars (see Table 4 for labels) and the SPB (thin lines) and  Cep (thick lines) theoretical instability strips in the log()–log(g) diagram. The instability regions are computed for two different metallicity values and are based on Miglio et al. (2007).

Table 4 summarizes the results of classification. According to their position in the log()–log(g) diagram, three of the hottest stars in our sample (labels b, c, and d) are found to be SPB-type variables, one is classified as “possibly SPB” (label h), and four stars are either to cool (labels a, f, and g) or too evolved (label e) to be SPBs.

Two out of the four potential pulsators, KIC 08018827 and 12217324 (labels d and h), are claimed to be non-pulsating stars by Balona et al. (2011) who attribute their photometric variability to rotation effects. KIC 08018827 exhibits the light curve and Fourier spectrum typical of close binary systems. Binarity is expected to have an effect on the spectroscopically derived  and , and thus on the position of the star in the log()–log(g) diagram. This makes spectroscopic classification of this star rather uncertain. KIC 12217324 is found close to the cool edge of the SPB instability strip. Given that this star does not show remarkable LPV nor peculiarities in terms of individual abundances, it is considered by us as an SPB candidate pulsator.

Two out of three cool stars (labels f and g) are low metallicity stars. Moreover, for both stars the light curve morphology suggests rotational modulation due to stellar surface inhomogeneities. According to their position in the log()–log(g) diagram, these stars should not pulsate which confirms their photometric classification. KIC 02859567 (label a) is the only star among these three that shows low-amplitude SPB-type pulsations in its Fourier spectrum but is clearly outside the corresponding theoretical instability region.

According to its position in the diagram, KIC 08324268 (label e) is too evolved to be an SPB variable. However, the LPV detected in the spectra of this star is so strong that it prevents the derivation of individual abundances and might affect the derived fundamental parameters. Thus, similar to KIC 08018827, the spectroscopic classification of this star is rather uncertain.

KIC number Variability label
Diagram Other
03629496 beating star (SPB?) b
07974841 SPBs rotation+SPB c
08018827 rotation/binary d
12217324 possibly SPB rotation h
02859567 possibly SPB a
08351193 too cool rotation f
10974032 rotation g
08324268 too evolved rotation e
Balona et al. (2011), Balona (2011),
this paper (light curve morphology, visual inspection)
Table 4: Classification of late B- to early A-type stars based on their position in the log()–log(g) diagram.

4.2 Intermediate A- to early F-type stars

In this section, we discuss a sub-sample of 18  Dor/ Sct candidate stars. Twelve out of these 18 stars are divided into three arbitrary groups, “Stars with composite spectra”, “Stars showing clear LPV”, and “Stars with peculiar abundances”, according to their type of spectrum variability. Finally, we classify the stars according to their positions in the log()–log(g) diagram and compare the results with the classification expected from the analysis of light curves.

4.2.1 Stars with composite spectra

KIC 04180199, 11572666, and 11874676: three rapidly rotating stars exhibiting similar photometric and spectroscopic characteristics. The spectra are characterized by sharp central cores superimposed on the broad absorption features extending typically from –300 to +300 km s. Figure 7 (top) shows LSD-profiles computed from nine individual spectra of KIC 04180199. The profiles are shifted in Y-axis for clarity. The lines have broad wings and timely variable sharp central cores. The bottom panel of Figure 7 compares the observed spectrum of KIC 04180199 with two synthetic spectra computed from our optimised parameters and convolved with different  of 180 km s and 30 km s. The positions of the majority of the spectral lines in the green spectrum coincide with the sharp features seen in the observed spectrum. The fact that both sharp and broad components are stationary in RV excludes binarity as a cause of the observed spectrum variability.

Figure 7: Top: LSD-profiles computed from nine individual spectra of KIC 04180199. Bottom: Fit of the observed (black, solid line) by the synthetic spectra computed from our optimised parameters and assuming  of 180 km s (red, dashed line) and 30 km s (green, dotted line).

Mantegazza & Poretti (1996) report the detection of the composite spectrum of the  Sct star X Caeli (HD 32846). Its spectral lines show a complex behaviour with sharp central cores superimposed on broad absorption features. The narrow core absorption was found to be stable in time both in shape and position, excluding stellar pulsations or orbital motion as first sight causes. Moreover, the radial velocity of the core was found to be comparable to that of the stellar barycenter making it improbable that it comes from a foreground star, for example. The authors thus suggest a model consisting of a  Sct variable star exhibiting broad spectral lines that has a circumstellar shell characterized by the narrow absorption cores superimposed on the photospheric lines of the central object. Our stars show similar behaviour with the exception that the narrow absorption core seems to be variable on a short time scale (cf. Figure 7, top). None of the stars is referred as a binary in the literature. Instead, KIC 04180199 and 11572666 have been classified by Uytterhoeven et al. (2011) as hybrid  Dor– Sct and KIC 11874676 as  Sct pulsators.

All three stars have low metallicities with clear enrichment of Si, Mg, and possibly C in their atmospheres. The difference between the derived and the KIC temperatures does not exceed 400 K in the worst case of KIC 11874676 while the deviations in  are more remarkable and reach 0.6 dex in the case of KIC 11572666. Given the complexity of the spectra described above, both the fundamental parameters and the individual abundances are uncertain.

4.2.2 Stars showing clear LPV

KIC 02987660, 07304385, 09351622 and 10537907: These are four stars showing remarkable line profile variations in their spectra. Figure 8 shows individual LSD spectra of KIC 02987660 as an example of bumps moving across the profile, possibly caused by stellar oscillations. Two of the stars, KIC 02987660 and 07304385, are reported by Uytterhoeven et al. (2011) to be correspondingly  Sct and  Dor-type pulsators, while the two others, KIC 09351622 and 10537907, are found to be of  Dor- Sct hybrid type. All four stars show individual abundances consistent with the derived metallicity within the errors of measurement.

4.2.3 Stars with peculiar abundances

KIC 05356349: Though the star is in the Washington Double Star Catalog (WDS J19196+4035AB), Uytterhoeven et al. (2011) classify it as a single star of  Dor- Sct hybrid type. Our two spectra is not enough to conclude on binarity. Some peculiarities in individual abundances are detected, however. Ti and Cr are found to be underabundant by correspondingly 0.6 and 0.5 dex compared to the metallicity of the star, while Mg is enhanced by roughly the same value.

Figure 8: LSD-profiles computed from three individual spectra of KIC 02987660. The average, dashed profile is given for comparison for better visibility of LPV.

KIC 07827131: This star was first reported to be variable by Magalashvili & Kumsishvili (1976). It is classified as  Dor- Sct hybrid pulsator by Uytterhoeven et al. (2011). According to our findings, this is a low-metallicity star with unusually low Ti content (–1.85 dex compared to the solar composition) and an enrichment of Si of about 0.6 dex compared to the derived metallicity. As for the previously discussed object, we have only two spectra which is not enough to conclude on either LPV or binarity.

KIC 08489712, 08915335 and 09291618: These are three stars with an enhanced Si content, up to 0.9 dex compared to the derived metallicity in the case of KIC 08915335. According to Uytterhoeven et al. (2011), two stars, KIC 08489712 and 09291618, are pure  Dor and  Sct variables, accordingly, while the third star, KIC 08915335, has a light curve and Fourier spectrum characteristic of  Dor- Sct type hybrid pulsators. None of the three stars shows remarkable LPV nor Doppler shifts of spectral lines pointing to binarity.

4.2.4 Position in the log()–log(g) diagram

Figure 9 shows the positions of all intermediate A- to early F-type stars of our sample in the log()–log(g) diagram, together with the  Sct (solid lines) and  Dor (dashed lines) observational instability strips as given by Rodríguez & Breger (2001) and Handler & Shobbrook (2002), accordingly.

Table 5 classifies the stars according to their type of variability, listing the classifications expected from their location in the log()–log(g) (Figure 9) and derived by Uytterhoeven et al. (2011) from the frequency analysis of the light curves. We find three stars (labels m, v, and z) which are too hot and five stars (l, n, q, r, and s) which are too evolved to be  Dor or  Sct variables. Four of them, KIC 05356349, 07827131, 08489712, and 08915335 (labels m, q, r, and s), exhibit peculiar individual abundances and have been discussed in detail in the previous section. KIC 12153021 (label z) does not show any remarkable variability in its light curve nor in the spectra and seems to be a constant star. Three further stars, KIC 04989900, 05437206, and 10096499 (labels l, n, and v) have been found by Uytterhoeven et al. (2011) to show both  Dor- and  Sct-type pulsations, thus they appear to be hotter from our spectroscopic analysis than it is expected from the photometric classification.

We confirm two  Dor pulsators (labels k and x) and four  Sct stars lying in the expected region of the log()–log(g) diagram. Three out of these six stars (labels k, x, and w) have been classified by Uytterhoeven et al. (2011) as  Dor- Sct hybrid pulsators, two stars (labels j, and t) were reported as pure  Sct variables, and one (label p) as a  Dor pulsator. Finally, four stars (labels i, o, u, and y) are located close to the hot border of the  Sct instability strip and are thus classified by us as “possibly  Sct” variables. At least one of these stars (label u) is expected to be of lower temperature from the theory of non-radial pulsations, however, as it is reported by Uytterhoeven et al. (2011) to show  Dor-like oscillations in its light curve.

5 Stellar Temperatures from Spectral Energy Distributions

Figure 9: Location of intermediate A- to early F-type stars (see Table 5 for labels) and the  Dor (dashed lines) and  Sct (solid lines) observed instability strips in the log()-log(g) diagram.

The effective temperature of the stars can be estimated from the spectral energy distribution (SED). For our target stars, the SED was constructed from literature photometry, using 2MASS (Sktrutskie et al., 2006), Tycho and magnitudes (Høg et al., 1997), USNO-B1 magnitudes (Monet et al., 2003) and TASS magnitudes (Droege et al., 2006), supplemented with CMC14 magnitudes (Evans et al., 2002) and TD-1 ultraviolet flux measurements (Carnochan, 1979).

KIC number Variability label
Diagram Other
04180199 k
11572666  Dor or hybrid hybrid x
02987660 j
09291618  Sct t
07304385  Sct  Dor p
10537907 w
09351622 hybrid u
02571868 i
06668729 possibly  Sct  Sct o
11874676 y
10096499  Dor v
05356349 too hot hybrid m
12153021 not pulsating z
04989900 l
05437206 n
07827131 too evolved hybrid q
08915335 s
08489712  Dor r
Uytterhoeven et al. (2011)
this paper (light curve morphology, visual inspection)
Table 5: Classification of the intermediate A- to early F-type stars based on their position in the log()–log(g) diagram.

The SED can be significantly affected by interstellar reddening. We have, therefore, estimated this effect from the equivalent widths of the interstellar Na D lines present in our spectra. was calculated using the relation given by Munari & Zwitter (1997). For resolved multi-component interstellar Na D lines, the equivalent widths of the individual components were measured. The total in these cases is the sum of the reddening per component, since interstellar reddening is additive (Munari & Zwitter, 1997). The SED was de-reddened using the analytical extinction fits of Seaton (1979) for the ultraviolet and Howarth (1983) for the optical and infrared.

 values were determined by fitting solar-composition Kurucz (1993) model fluxes to the de-reddened SED. For that, the model fluxes were convolved with photometric filter response functions. A weighted Levenberg-Marquardt non-linear least-squares fitting procedure was used to find the solution that minimized the difference between the observed and model fluxes. Since  is poorly constrained by the SED, we fixed =4.0 for all the fits. The results are given in Table 6. The uncertainties in  include the formal least-squares error and adopted uncertainties in of 0.02 and  of 0.5 added in quadrature.

KIC SED Notes
02571868 0.01 8050 330 TD-1
02859567 0.01 10070 370 TD-1
02987660 0.01 7530 300 TD-1
03629496 0.03 12130 540 TD-1
04180199 0.08 7810 370 CMC14
04989900 0.06 8750 230 TD-1
05356349 0.05 9150 300 TD-1
05437206 0.04 7990 320 TD-1
06668729 0.02 8120 330 TD-1
07304385 0.06 7070 320
07827131 0.05 8580 290 TD-1
07974841 0.07 10680 420 TD-1
08018827 0.03 10240 410 TD-1
08324268 0.05 10980 520 TD-1
08351193 0.01 10760 430 TD-1
08489712 0.08 9020 330 TD-1
08915335 0.14 8600 470 CMC14
09291618 0.06 7760 360
09351622 0.06 7680 340
10096499 0.00 8370 240 TD-1
10537907 0.06 7500 340 CMC14
10974032 0.02 9380 290
11572666 0.07 7260 320 CMC14
11874676 0.08 8300 420
12153021 0.01 8970 310 TD-1
12217324 0.01 10360 390 TD-1
indicates multi-component interstellar Na D lines
Table 6: Stellar Effective Temperatures from Spectral Energy Distributions

Figure 10 compares the spectroscopically derived effective temperatures with those obtained from the SED fitting. There are four stars (KIC 03629496, 07827131, 08351193, and 08489712) for which the difference between the two temperatures is larger than the quoted error bars, otherwise the values agree within the error of measurement. For all four stars the SED temperatures are higher than the spectroscopic value. Two stars, KIC 07827131 and 08351193, are low metallicity objects both showing remarkable enhancement of Si abundance. This peculiarity can possibly explain the observed disagreement in temperatures. KIC 08489712 also shows peculiar behaviour in the sense of significant over- and underabundances of Si and Ti, accordingly. There is no obvious reason why the two temperatures differ by about 800 K for KIC 03629496, however.

6 Comparison with the Kepler Input Catalog

Figs. 11 and 12 compare the spectroscopically derived atmospheric parameters (, , and [M/H]) with the KIC values. The typical errors of the KIC data of 200 K for  and of 0.5 dex for both  and metallicity are assumed. As it was for the first time reported by Molenda-Zakowicz et al. (2010) and later on confirmed by Lehmann et al. (2011), the KIC temperatures are systematically underestimated for stars hotter than about 7 000 K. The same conclusion is valid for our stars: most of the stars from intermediate A- to late B- spectral type have spectroscopic temperatures remarkably higher than those listed in the KIC. The stars of later spectral types and thus of lower temperatures show good agreement with the KIC values within the error of measurements. KIC 11874676 seems to be the only star which does not follow this general tendency as its spectroscopically derived  value appears to be by about 350 K lower than is given in the KIC (cf. Figure 11). We think that this deviation comes from the fact that KIC 11874676 has a composite spectrum which lead to wrong parameter values in our analysis.

Figure 10: Comparison between the effective temperatures derived spectroscopically (open circles) and from the SED fitting (stars). The stars are sorted by the spectroscopic value starting with the coolest object.

Pinsonneault et al. (2012) published a revised temperature scale for long-cadence targets in the KIC. The authors derive effective temperatures based on griz filter photometry and compare their temperature scale to the published infrared flux method scale for VJK (Casagrande et al., 2010). For field dwarfs, Pinsonneault et al. (2012) find a mean shift toward hotter temperatures relative to the KIC, of order 215 K, for both colour systems. Unfortunately, only one of our targets is included in the catalogue by Pinsonneault et al. (2012) and this and the seven of our targets included in Casagrande et al. (2010) have temperatures in the region where our values and the KIC values agree well.

The deviations between spectroscopic and KIC values in metallicity and (to some extend) surface gravity seem to be correlated with the parameter values itself. This is illustrated in Fig. 12 that shows the difference between ours and the KIC values versus the spectroscopic values of the parameters. The given error bars are the combined spectroscopic and KIC errors. Stars that are outliers with respect to the observed general tendency are marked by their KIC numbers and discussed in the following.

KIC 03629496 and 08324268: These are the two hottest stars in our sample both showing large discrepancy of more than 1 500 K between spectroscopic and KIC temperatures. Thus, it is not surprisingly at all that they also show large deviations of the spectroscopically derived  from the KIC values. KIC 03629496 additionally has larger [M/H] than it would be expected from the observed general tendency for this parameter. In the case of KIC 08324268 neither our derived fundamental parameters nor the KIC values provide satisfying fit of the observed spectrum, whereas our parameters are much more appropriate than the KIC ones for KIC 03629496 (cf. the bottom panel of Figure 2 for the quality of the fit).

KIC 10096499: The deviation of the optimised  from the KIC value is larger than it would be expected from the general tendency for this parameter. Our spectroscopic parameters provide a much better fit of the observations than the KIC values. Figure 13 illustrates the quality of the spectrum fit by two synthetic spectra computed from our optimised and KIC parameters.

KIC 04989900: This star is an obvious outlier in the [M/H]–[M/H] plane. The KIC metallicity of is much lower than our optimised value. Fig. 14 compares the observed (black, solid line) spectrum with two synthetic spectra computed from our optimised (red, dashed line) and the KIC (green, dotted line) fundamental parameters. It can be seen that the KIC-based fit seriously underestimates the strengths of the metal lines.

7 Conclusions

We used the spectral synthesis method to determine the fundamental atmospheric parameters of 26 stars in the satellite field of view, of which 18 were proposed to be  Dor/ Sct candidate pulsators (Uytterhoeven et al., 2011), and compare our values with those listed in the Kepler Input Catalog. Similar to the results reported by Molenda-Zakowicz et al. (2010) and Lehmann et al. (2011), we find that the photometric KIC  values are systematically underestimated for stars hotter than about 7 000 K. Deviations that may reach several thousands Kelvin for hot stars (see e.g., Lehmann et al., 2011) are probably due to the interstellar reddening that was not properly taken into account when estimating the KIC temperatures.

Figure 11: Same as Fig. 10 but for comparison with the KIC values (filled boxes).
Figure 12: Comparison of the spectroscopically derived metallicity [M/H] (top) and surface gravity  (bottom) with the KIC values. The solid lines represent linear fits to the data points after removing the marked outliers.

Comparing the spectroscopically derived values of [M/H] and  with the KIC values, we find hints to a correlation of the deviations with the parameter values itself. The correlation is stronger for [M/H]. Four stars show larger deviations from this general tendency. Except for KIC 08324268 that shows strong LPV, our parameters provide a much better fit of the observed spectrum than the KIC values, however.

Comparison between the spectroscopically derived temperatures and those obtained from the SED fitting reveals a good agreement for all but four stars. For three stars, KIC 07827131, 08351193, and 08489712, chemical composition peculiarities (particularly, Si and Ti abundances) might be a possible reason for the observed discrepancy.

The spectroscopically derived values of  and  allow us to place the stars in the log()-log(g) diagram and classify them by checking their location relative to the theoretical SPB/ Cep (for B-type stars) and observational  Dor/ Sct (for A- and F-type stars) instability strips. Our spectroscopic classification was then compared to the photometric one for both B-type (Balona, 2011; Balona et al., 2011) and A- and F-type (Uytterhoeven et al., 2011) stars. We confirm two SPB pulsators, KIC 03629496 and 07974841, and find two more stars, KIC 08018827 and 12217324, that fall into or lie close the SPB instability region but were classified by Balona et al. (2011) as rotationally modulated stars. We detected a clear signature of eclipses in the light curve of KIC 08018827. Binarity can have an impact on the spectroscopically derived  and  which in turn biases the classification according to the type of variability. No such hints including LPV have been found for KIC 12217324. Three other stars, KIC 02859567, 08351193, and 10974032, are too cool to be SPBs and too hot to be  Sct variables. According to the photometric classification, however, one of these stars (KIC 02859567) is possibly a SPB pulsator while the variability of two others is attributed to rotation effects. Finally, we find one star, KIC 08324268, which is too evolved to be a SPB pulsator but its spectroscopic parameters might be biased by strong LPV detected in the spectra.

Among the A-F type stars of our sample, we find two  Dor pulsators (KIC 04180199 and 11572666) and four  Sct stars lying in the expected region of the log()–log(g) diagram. Two out of these four stars show  Sct oscillations in their light curves, in one star  Sct and  Dor-typical oscillations co-exist, and one star is a pure  Dor pulsator. Four further stars, KIC 02571868, 06668729, 09351622, and 11874676, are located at the hot border of the  Sct instability region. These stars are classified by us as “possibly  Sct” pulsators and one of them surprisingly shows  Dor-typical oscillations in its light curves. Furthermore, we found eight stars that are either too hot or too evolved to be  Dor- or  Sct-type variables, though all but one show characteristic  Dor-like pulsations in their light curves.

Uytterhoeven et al. (2011) presents a general characterization of 750 candidate A-F type stars in the field of view and find strong evidence for the existence of  Dor and  Sct stars beyond the edges of the current observational instability strips. The authors conclude that a revision of the instability strips is needed in order to accommodate the  Sct and  Dor stars. The same conclusion is drawn by Grigahcène et al. (2010) concerning theoretical  Dor and  Sct instability strips. The authors characterize a sample of 234 stars showing  Sct and  Dor frequencies in their light curves and find that the boarders of theoretical instability strips are not a good match for the observations. Similar to the findings of these two groups, we found that  Dor-typical oscillations are much more common among the  Sct stars than it is predicted by the corresponding instability strips and conclude that a revision of the latter is essential.

Figure 13: Fit of the observed spectrum of KIC 10096499 (black, solid line) by synthetic spectra computed from our optimized parameters (red, dashed line) and from the values given in the KIC (green, dotted line).
Figure 14: Same as Fig. 13 but for KIC 04989900.

Acknowledgments

KU acknowledges financial support by the Spanish Ministry of Economy Competitiveness (MINECO) grant AYA2010-17803. The research leading to these results received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007–2013)/ERC grant agreement n227224 (PROSPERITY). The authors are grateful to the referee for very useful comments that led to significant improvement of the paper. 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. This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France.

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