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arXiv 2203.16320astro-ph.SRastro-ph.GA
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用MARCS模型大气理论分析晚型星的表面亮度-颜色关系

Theoretical analysis of surface brightness-colour relations for late-type stars using MARCS model atmospheres

A. Salsi, N. Nardetto, B. Plez, D. Mourard

摘要:

表面亮度-颜色关系(SBCR)主要用于恒星天体物理学的一般研究和确定河外距离。利用MARCS模型大气模拟晚型恒星的光谱,分析恒星基本参数对表面亮度的影响。我们还比较了理论和最近的经验SBCR。我们使用MARCS模型大气来计算恒星的光谱和表面亮度。我们首先探索了MARCS的参数空间(即有效温度、$\log g$、$\mathrm{[Fe/H]}$、微湍流和质量),以量化它们对表面亮度的影响。然后我们考虑了晚矮星和巨星的有效温度和$\log g$之间的关系,以及太阳的金属丰度,以便对理论和经验SBCR进行一致的比较。我们发现SBCR对微湍流和质量不敏感。金属丰度对SBCR的影响被认为是更大的矮星比巨星。当考虑较大的$V-K_s$值时,它也较大。我们还发现,银河系和LMC SBCRs之间的金属丰度差异0.5德克斯不影响最近的LMC距离测定,基于食双星,超过0.4%。通过比较SBCR的理论值和经验值,我们发现F5-K7型矮星和巨星的SBCR值在2 $σ$以下符合得很好,而M型矮星和巨星的SBCR值在4-6 $σ$之间相差较大.在MARCS中模拟的表面重力特性解释了经验SBCR在类别方面的差异。我们最终发现造父变星的理论和经验SBCR是一致的。在校准或使用SBCR时,必须仔细考虑金属性和$\log g$。

英文摘要:

Surface brightness-colour relations (SBCRs) are largely used for general studies in stellar astrophysics and for determining extragalactic distances. Based on simulated spectra of late-type stars using MARCS model atmospheres, our aim is to analyse the effect of stellar fundamental parameters on the surface brightness. We also compare theoretical and recent empirical SBCRs. We used MARCS model atmospheres to compute spectra and the surface brightness of stars. We first explored the parameter space of MARCS (i.e. effective temperature, $\log g$, $\mathrm{[Fe/H]}$, microturbulence, and mass) in order to quantify their impact on the surface brightness. Then we considered a relation between the effective temperature and $\log g$ for late dwarfs and giants, as well as a solar metallicity, in order to allow a consistent comparison of theoretical and empirical SBCRs. We find that the SBCR is not sensitive to the microturbulence and mass. The effect of metallicity on the SBCR is found to be larger for dwarfs than for giants. It is also larger when considering larger $V-K_s$ values. We also find that a difference of 0.5 dex in metallicity between Galactic and LMC SBCRs does not affect the recent LMC distance determination, based on eclipsing binaries, by more than 0.4%. By comparing theoretical with empirical SBCRs, we find a good agreement of less than 2$σ$ for F5-K7 dwarfs and giants stars, while a larger discrepancy is found for M dwarfs and giants (about 4-6$σ$). The surface gravity properties, as modelled in MARCS, explain the differences in the empirical SBCRs in terms of class. We finally find that theoretical and empirical SBCRs for Cepheids are consistent. Carefully considering metallicity and $\log g$ is mandatory when calibrating or using SBCRs.

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