An Expanded Chemo-dynamical Sample of Red Giants in the Bar of the Large Magellanic Cloud
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We report new spectroscopic observations obtained with the Michigan/Magellan Fiber System of 308 red giants (RGs) located in two fields near the photometric center of the bar of the Large Magellanic Cloud. This sample consists of 131 stars observed in previous studies (in one field) and 177 newly-observed stars (in the second field) selected specifically to more reliably establish the metallicity and age distributions of the bar. For each star, we measure its heliocentric line-of-sight velocity, surface gravity and metallicity from its high-resolution spectrum (effective temperatures come from photometric colors). The spectroscopic Hertzsprung-Russell diagrams---modulo small offsets in surface gravities---reveal good agreement with model isochrones. The mean metallicity of the 177-RG sample is $\rm [Fe/H]=-0.76\pm0.02$ with a metallicity dispersion $\sigma=0.28\pm0.03$. The corresponding metallicity distribution---corrected for selection effects---is well fitted by two Gaussian components: one metal-rich with a mean $-0.66\pm0.02$ and a standard deviation $0.17\pm0.01$, and the other metal-poor with $-1.20\pm0.24$ and $0.41\pm0.06$. The metal-rich and metal-poor populations contain approximately 85% and 15% of stars, respectively. We also confirm the velocity dispersion in the bar center decreases significantly from $31.2\pm4.3$ to $18.7\pm1.9$ km s$^{-1}$ with increasing metallicity over the range $-2.09$ to $-0.38$. Individual stellar masses are estimated using the spectroscopic surface gravities and the known luminosities. We find that lower mass hence older RGs have larger metallicity dispersion and lower mean metallicity than the higher-mass, younger RGs. The estimated masses, however, extend to implausibly low values ($\rm \sim 0.1~M_{\odot}$) making it impossible to obtain an absolute age-metallicity or age distribution of the bar.Keywords:
Surface gravity
Red clump
Small Magellanic Cloud
Effective temperature
Large Magellanic Cloud
We present an analysis of high-resolution optical spectra for a sample of very young, mid- to late-M, low-mass stellar and substellar objects: 11 in the Upper Scorpius association, and two (GG Tau Ba and Bb) in the Taurus star-forming region. Effective temperatures and surface gravities are derived from a multiple-feature spectral analysis using TiO, Na I, and K I, through comparison with the latest synthetic spectra. We show that these spectral diagnostics complement each other, removing degeneracies with temperature and gravity in the behavior of each. In combination, they allow us to determine temperature to within 50 K and gravity to within 0.25 dex, in very cool young objects. Our high-resolution spectral analysis does not require extinction estimates. Moreover, it yields temperatures and gravities independent of theoretical evolutionary models (although our estimates do depend on the synthetic spectral modeling). We find that our gravities for most of the sample agree remarkably well with the isochrone predictions for the likely cluster ages. However, discrepancies appear in our coolest targets: these appear to have significantly lower gravity (by up to 0.75 dex) than our hotter objects, even though our entire sample covers a relatively narrow range in effective temperature (~300 K). This drop in gravity is also implied by intercomparisons of the data alone, without recourse to synthetic spectra. We consider, and argue against, dust opacity, cool stellar spots, or metallicity differences leading to the observed spectral effects; a real decline in gravity is strongly indicated. Such gravity variations are contrary to the predictions of the evolutionary tracks, causing improbably low ages to be inferred from the tracks for our coolest targets. Through a simple consideration of contraction timescales, we quantify the age errors introduced into the tracks through the particular choice of initial conditions and demonstrate that they can be significant for low-mass objects that are only a few megayears old. However, we also find that these errors appear insufficient to explain the magnitude of the age offsets in our lowest gravity targets. We venture that this apparent age offset may arise from evolutionary model uncertainties related to accretion, deuterium burning and/or convection effects. Finally, when combined with photometry and distance information, our technique for deriving surface gravities and effective temperatures provides a way of obtaining masses and radii for substellar objects independent of evolutionary models; radius and mass determinations are presented in Paper II.
Surface gravity
Effective temperature
Opacity
Spectral resolution
Extinction (optical mineralogy)
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Large Magellanic Cloud
Distance modulus
Small Magellanic Cloud
Cosmic distance ladder
Variable star
Length scale
Red clump
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I demonstrate that the two unexpected results in the local Universe: anomalous intrinsic (V-I)_0 colors of RR Lyrae stars and clump giants in the Galactic center, and very short distances to Magellanic Clouds inferred from clump giants, can be at least partially resolved with a modified coefficient of selective extinction A_V/E(V-I). With this modification, I find a new clump-giant distance modulus to the Large Magellanic Cloud, mu_{LMC} = 18.27 +/- 0.07, which is 0.09 larger than the Udalski (1998b) result. When distance estimates from the red clump, RR Lyrae stars and the eclipsing binary HV2274 are combined, one obtains mu_{LMC} = 18.31 +/- 0.04 (internal).
RR Lyrae variable
Red clump
Large Magellanic Cloud
Distance modulus
Extinction (optical mineralogy)
Giant star
Cosmic distance ladder
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Abstract I demonstrate that the two unexpected results in the local Universe: anomalous intrinsic ( V – I ) 0 colors of RR Lyrae stars and clump giants in the Galactic center, and very short distances to Magellanic Clouds inferred from clump giants, can be at least partially resolved with a modified coefficient of selective extinction A V / E ( V – I ). With this modification, I find a new clump-giant distance modulus to the Large Magellanic Cloud, μLMC = 18.27 ± 0.07, which is 0.09 larger than the Udalski (1998b) result. When distance estimates from the red clump, RR Lyrae stars and the eclipsing binary HV2274 are combined, one obtains μLMC = 18.31 ± 0.04 (internal).
RR Lyrae variable
Red clump
Large Magellanic Cloud
Distance modulus
Extinction (optical mineralogy)
Giant star
Cosmic distance ladder
Red-giant branch
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I demonstrate that the two unexpected results in the local Universe: anomalous intrinsic (V-I)_0 colors of RR Lyrae stars and clump giants in the Galactic center, and very short distances to Magellanic Clouds inferred from clump giants, can be at least partially resolved with a modified coefficient of selective extinction A_V/E(V-I). With this modification, I find a new clump-giant distance modulus to the Large Magellanic Cloud, mu_{LMC} = 18.27 +/- 0.07, which is 0.09 larger than the Udalski (1998b) result. When distance estimates from the red clump, RR Lyrae stars and the eclipsing binary HV2274 are combined, one obtains mu_{LMC} = 18.31 +/- 0.04 (internal).
RR Lyrae variable
Red clump
Large Magellanic Cloud
Distance modulus
Extinction (optical mineralogy)
Giant star
Cosmic distance ladder
Red-giant branch
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We present a detailed analysis of the uncertainty on the theoretical population corrections to the LMC Red Clump (RC) absolute magnitude, by employing a population synthesis algorithm to simulate theoretically the photometric and spectroscopic properties of RC stars, under various assumptions about the LMC Star Formation Rate (SFR) and Age Metallicity Relationship (AMR). A comparison of the outcome of our simulations with observations of evolved low-intermediate mass stars in the LMC allows one to select the combinations of SFR and AMR that bracket the real LMC star formation history, and to estimate the systematic error on the associated RC population corrections. The most accurate estimate of the LMC distance modulus from the RC method (adopting the OGLE-II reddening maps for the LMC) is obtained from the K-band magnitude, and provides (m-M)_{0, LMC}=18.47 +/-0.01(random) +0.05/-0.06(systematic). Distances obtained from the I-band, or from the multicolour RC technique which determines at the same time reddening and distance, both agree (albeit with a slightly larger error bar) with this value.
Large Magellanic Cloud
Red clump
Systematic error
Cosmic distance ladder
Error Analysis
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Precise determinations of effective temperatures and surface gravities are mandatory to derive not only reliable chemical abundances, but also parameters like distances, masses, radii and luminosities in OB stars. We have previously determined atmospheric parameters of 30 well-studied OB main sequence to giant stars via multiple ionization equilibria in NLTE, reaching uncertainties as low as ∼300 K for effective temperature and ∼0.05 dex for surface gravity. Based on the comparison of our spectroscopic parameters and reddening-independent quantities of the Johnson and Strömgren photometric systems, temperature and gravity calibrations are proposed to different photometric indices depending on the luminosity class. With these calibrations, effective temperatures can be determined at a precision of ∼400 K for luminosity classes III/IV and of ∼800 K for luminosity class V. Surface gravities can reach internal uncertainties as low as ∼0.08 dex. Our uncertainties are smaller than typical differences among other methods in the literature, which reach values up to ± 2000 K for temperature and ± 0.25 dex for gravity, and in extreme cases, + 6000 K and ± 0.4 dex, respectively.
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Effective temperature
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We present an analysis of the 3-D structure of the Magellanic Clouds, using period-luminosity (P-L) relations of pulsating red giants in the OGLE-II sample. By interpreting deviations from the mean P-L relations as distance modulus variations, we examine the three-dimensional distributions of the sample. The results for the Large Magellanic Cloud, based solely on stars below the tip of the Red Giant Branch, confirm previous results on the inclined and possibly warped bar of the LMC. The depth variation across the OGLE-II field is about 2.4 kpc, interpreted as the distance range of a thin but inclined structure. The inclination angle is about 29 deg. A comparison with OGLE-II red clump distances revealed intriguing differences that seem to be connected to the red clump reddening correction. A spatially variable red clump population in the LMC can explain the deviations, which may have a broader impact on our understanding of the LMC formation history. For the Small Magellanic Cloud, we find a complex structure showing patchy distribution scattered within 3.2 kpc of the mean. However, the larger range of the overall depth on every line-of-sight is likely to smooth out significantly the real variations.
Red clump
Large Magellanic Cloud
Distance modulus
Red-giant branch
Line (geometry)
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The analysis of stellar spectra depends upon the effective temperature (Teff) and the surface gravity (log g). However, the estimation of log g with high accuracy is challenging. A classical approach is to search for log g that satisfies the ionization balance, i.e., the abundances from neutral and ionized metallic lines being in agreement. We propose a method of using empirical relations between Teff, log g and line-depth ratios, for which we meticulously select pairs of FeI and FeII lines and pairs of CaI and CaII lines. Based on YJ-band (0.97-1.32 micron) high-resolution spectra of 42 FGK stars (dwarfs to supergiants), we selected five FeI-FeII and four CaI-CaII line pairs together with 13 FeI-FeI pairs (for estimating Teff, and derived the empirical relations. Using such relations does not require complex numerical models and tools for estimating chemical abundances. The relations we present allows one to derive Teff and log g with a precision of around 50 K and 0.2 dex, respectively, but the achievable accuracy depends on the accuracy of the calibrators' stellar parameters. It is essential to revise the calibration by observing stars with accurate stellar parameters available, e.g., stars with asteroseismic log g and stars analyzed with complete stellar models taking into account the effects of non-local thermodynamic equilibrium and convection. In addition, the calibrators we used have a limited metallicity range, [Fe/H] between -0.2 and +0.2 dex, and our relations need to be tested and re-calibrated based on a calibrating dataset for a wider range of metallicity.
Surface gravity
Effective temperature
Line (geometry)
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In order to determine the precise effective temperature and surface gravity of warm stars, all synthetic spectral lines in the wavelength range of $4000-5700{\AA}$ with T=6000-7750 K, and log g=3.5, 4.0, and 4.5 for [M/H]=0.0, $V_{rot}$ =10 km $s^{-1}$ , and $V_{tubl}$ =2 km $s^{-1}$ were calculated using the SYNSPEC package(Hubeny, et al., 1995) and the Kurucz(1995) model. Then, the depth-ratios for all line pairs were investigated and we selected two and six depth-ratios appropriate for the surface gravity and temperature indicators, respectively. We plotted six grids with X- and Y-axes for the depth-ratios of surface gravity and temperature, respectively, for the simultaneous estimation of these two atmospheric parameters. This method was applied to the spectum of $\delta$ Scu for the determination of its temperature and surface gravity simultaneously.
Surface gravity
Effective temperature
Line (geometry)
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