arXiv 2203.074382022-03-14astro-ph.SRastro-ph.IMphysics.comp-phphysics.data-an

具有可见轨道的单线光谱双星的贝叶斯推断

Bayesian inference in single-line spectroscopic binaries with a visual orbit

Miguel Videla, Rene A. Mendez, Ruben M. Claveria, Jorge F. Silva, Marcos E. Orchard

备注：: Accepted for publication to the Astronomical Journal.39 pages, 7 Tables, 18 Figures, two Appendices
DOI：: 10.3847/1538-3881/ac5ab4

摘要：

本文提出了一种利用天体测量数据对单线光谱双星进行轨道参数估计的贝叶斯推断方法，该方法基于无掉头采样器马尔可夫链蒙特卡罗算法。我们的方法的目的是提供一个精确和有效的估计的联合后验分布的轨道参数的存在下，部分和异构的观测。这个方案允许我们直接结合系统的先验信息-以三角视差的形式，以及从其光谱类型估计主要成分的质量-以限制解的范围，并估计由于缺乏观测或不精确测量而通常无法确定的轨道参数（例如单个成分的质量）。我们的方法进行了测试，通过分析后验分布的良好的研究双线光谱二进制处理为单线二进制通过省略径向速度数据的二次对象。我们的结果表明，系统的质量比可以估计的不确定性小于10%，使用我们的方法。作为一个概念的证明，所提出的方法适用于12个单线光谱双星的天体测量数据，缺乏一个联合天体测量光谱的解决方案，我们提供完整的轨道要素。我们基于样本的方法还允许我们研究相应观测空间中不同后验分布的影响。这种新颖的分析使人们更好地了解不同信息来源对轨道和径向速度曲线的形状和不确定性的影响。

英文摘要：

We present a Bayesian inference methodology for the estimation of orbital parameters on single-line spectroscopic binaries with astrometric data, based on the No-U-Turn sampler Markov chain Monte Carlo algorithm. Our approach is designed to provide a precise and efficient estimation of the joint posterior distribution of the orbital parameters in the presence of partial and heterogeneous observations. This scheme allows us to directly incorporate prior information about the system - in the form of a trigonometric parallax, and an estimation of the mass of the primary component from its spectral type - to constrain the range of solutions, and to estimate orbital parameters that cannot be usually determined (e.g. the individual component masses), due to the lack of observations or imprecise measurements. Our methodology is tested by analyzing the posterior distributions of well-studied double-line spectroscopic binaries treated as single-line binaries by omitting the radial velocity data of the secondary object. Our results show that the system's mass ratio can be estimated with an uncertainty smaller than 10% using our approach. As a proof of concept, the proposed methodology is applied to twelve single-line spectroscopic binaries with astrometric data that lacked a joint astrometric-spectroscopic solution, for which we provide full orbital elements. Our sample-based methodology allows us also to study the impact of different posterior distributions in the corresponding observations space. This novel analysis provides a better understanding of the effect of the different sources of information on the shape and uncertainty of the orbit and radial velocity curve.

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摘要：

英文摘要：

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