We developed a novel direct algorithm to derive the mass-ratio distribution (MRD) of short-period binaries from an observed sample of single-lined spectroscopic binaries (SB1). The algorithm considers a class of parameterized MRDs and finds the set of parameters that best fits the observed sample. The algorithm consists of four parts. First, we define a new observable, the `modified mass function', that can be calculated for each binary in the sample. We show that the distribution of the modified mass function follows the shape of the underlying MRD, turning it more advantageous than the previously used mass function, reduced mass function or reduced mass function logarithm. Second, we derive the likelihood of the sample of modified mass functions to be observed given an assumed MRD. An MCMC search enables the algorithm to find the parameters that best fit the observations. Third, we suggest to express the unknown MRD by a linear combination of a basis of functions that spans the possible MRDs. We suggest two such bases. Fourth, we show how to account for the undetected systems that have an RV amplitude below a certain threshold. Without the correction, this observational bias suppresses the derived MRD for low mass ratios. Numerous simulations show that the algorithm works well with either of the two suggested bases. The four parts of the algorithm are independent, but the combination of the four turn the algorithm to be highly effective in deriving the MRD of the binary population.
The Spectroscopic Binaries from LAMOST Medium-Resolution Survey (MRS). I. Searching for Double-lined Spectroscopic Binaries (SB2s) with Convolutional Neural Network
Identification of false positive double-lined spectroscopic binaries in LAMOST-MRS data due to moonlight contamination
Yunnan Observatories, Chinese Academy of Sciences（中国科学院云南天文台）；International Centre of Supernovae, Yunnan Key Laboratory（超新星国际研究中心，云南省重点实验室）；School of Astronomy and Space Science, University of the Chinese Academy of Sciences（中国科学院大学天文与空间科学学院）；Key Laboratory for Structure and Evolution of Celestial Objects, Chinese Academy of Sciences（中国科学院天体结构与演化重点实验室）；Center for Astronomical Mega-Science, Chinese Academy of Sciences（中国科学院天文大科学中心）
Orbits for eighteen visual binaries and two double-line spectroscopic binaries observed with HRCAM on the CTIO SOAR 4m telescope, using a new Bayesian orbit code based on Markov Chain Monte Carlo
Spectroscopic Survey of Eclipsing Binaries with a Low Cost Échelle Spectrograph -- Scientific Commissioning
我们目前的科学成果，最近委托埃歇尔摄谱仪上的0.5米的Solaris-1望远镜在南非天文台。BACHES是一种低成本的狭缝式埃歇尔摄谱仪，在5，500埃的分辨率为21，000。所描述的设置是完全远程操作和部分自动化的。定制的硬件组件已被设计为允许光谱和光度观测。设置通过专用软件控制。该系统的吞吐量使我们能够获得光谱与平均SNR为22，在6375毫米的30分钟曝光的$V=10$马格目标。仪器的稳定性主要受环境温度变化的影响。我们获得了一个明亮的（V = 5.9等）光谱双星的径向速度RMS值，与$V = 10.2$等食双星的0.59 km s $^{-1}$和1.34 km s $^{-1}$一样好。径向速度测量已经与可用的光度光变曲线相结合。我们提出了六个食双星系统的模型，并为以前已知的目标，我们比较我们的结果与文献中提供的。已确定的二元组分的质量与3%的误差为一些目标。我们面对我们的结果与基准值的基础上测量的HARPS和UCLES光谱仪4米级望远镜，并找到非常好的协议。所描述的设置是非常有效的，并且非常适合于光谱勘测。我们现在可以光谱表征约300食双星每年高达10.2等，假设典型的天气条件下，在SAAO没有一个单一的观察之旅。
Photometric and Spectroscopic Studies of Massive Binaries in the Large Magellanic Cloud. I. Introduction and Orbits for Two Detached Systems: Evidence for a Mass Discrepancy?
