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利用长期资料改进双星轨道解的一种方法
引用本文:任树林,傅燕宁.利用长期资料改进双星轨道解的一种方法[J].天文学报,2007,48(2):200-209.
作者姓名:任树林  傅燕宁
作者单位:1. 中国科学院紫金山天文台,南京,210008;中国科学院研究生院,北京,100039
2. 中国科学院紫金山天文台,南京,210008
摘    要:早期的地面观测积累了大量关于双星系统的观测资料.相对于近年来的各种观测数据,这些资料兼有精度低的缺陷和时间跨度长的优势.针对同时具有长期资料和依巴谷观测数据的较长周期的双星系统(如依巴谷星表的双星和多星附表中的G型双星系统),提出一种联合拟合方法,即首先通过拟合依巴谷的观测数据IAD寻求目标函数局部极小的轨道解,然后从中选出长期资料的最优解.结合这种方法的可行性分析,讨论了适用该方法的双星系统的轨道特征.作为应用实例,研究了文献中存在两种轨道解且仅有7次长期资料可以利用的系统73Leo,通过伴星质量的外符合分析,给出了具有较高可信度的轨道解.

关 键 词:恒星  双星  天体力学  轨道计算和定轨  方法  数据分析
修稿时间:2005年11月28

A Method of Determining Binary Orbits by incorporating Long-term Observational Data
REN Shu-lin,FU Yan-ning.A Method of Determining Binary Orbits by incorporating Long-term Observational Data[J].Acta Astronomica Sinica,2007,48(2):200-209.
Authors:REN Shu-lin  FU Yan-ning
Abstract:Early ground based observations accumulated a large amount of long-term data about binary stellar systems. Compared with the data obtained by various present-day techniques, the early data have much lower precision. However, the span of the longer time interval makes these data still irreplaceable in certain astronomical researches. The present work shows that they are crucial in determining binary orbits with period longer than 10 years, such as the G stars in the double and multiple systems annex of Hipparcos catalogue, and, a new combining method is developed in order to determine the above-mentioned orbits. There are two main steps. Firstly, by fitting IAD, we obtain many local minimum solutions. Then, the "best-fit" solution can be unambiguously selected by long-term observations. As an application, we revisit the binary stellar system "73 Leo", of which there are only 7 usable long-term observational data and two different problematic orbit solutions. According to external analysis of the mass of secondary, we argue that the newly determined orbit and the component masses are reliable.
Keywords:stars: binaries  celestial mechanics: determination of orbit  method: data analysis
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