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arXiv 1012.4858astro-ph.SRastro-ph.IM
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用互相关最大值的傅里叶变换精确计算恒星自转速度

Accurate stellar rotational velocities using the Fourier transform of the cross correlation maximum

C. G. Díaz, J. F. González, H. Levato, M. Grosso

摘要:

我们提出了一种测量投影旋转速度$v sin i$的方法,即使在光谱混合线高精度。虽然不是自动的,但我们的方法被设计成系统地应用于大量的对象,而无需过多的计算要求。我们计算了目标光谱对零旋转模板的互相关联函数(CCF),并使用CCF中心极大值的傅里叶变换(FT)来测量参数$v sin i$,考虑到临边暗化效应及其波长依赖性。该程序还改进了CCF基线的定义,导致即使对于$vsin i$ = 280 km/s,与连续体位置相关的误差也在1%以下。对F型星的高分辨率光谱的测试表明,即使对于大多数谱线混合的光谱,也可以达到远低于1%的精度。我们用这种方法测量了251颗A型星的$v sin i$。对于$vsin i$大于30 km/s(2-3倍于我们的光谱分辨率)的恒星,我们的测量误差低于2.5%,典型值为1%。我们将我们的结果与Royer等人(2002 a)使用155颗共同恒星的结果进行比较,发现快速旋转恒星的系统差异约为5%。

英文摘要:

We propose a method for measuring the projected rotational velocity $v sin i$ with high-precision even in spectra with blended lines. Though not automatic, our method is designed to be applied systematically to large numbers of objects without excessive computational requirement. We calculate the cross correlation function (CCF) of the object spectrum against a zero-rotation template and use the Fourier transform (FT) of the CCF central maximum to measure the parameter $v sin i$ taking the limb darkening effect and its wavelength dependence into account. The procedure also improves the definition of the CCF base line resulting in errors related to the continuum position under 1 % even for $vsin i$ = 280 km/s. Tests with high-resolution spectra of F-type stars indicate that an accuracy well below 1 % can be attained even for spectra where most lines are blended. We have applied the method to measure $v sin i$ in 251 A-type stars. For stars with $vsin i$ over 30 km/s (2-3 times our spectra resolution) our measurement errors are below 2.5 % with a typical value of 1%. We compare our results with Royer et al. (2002a) using 155 stars in common, finding systematic differences of about 5 % for rapidly rotating stars.

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