A New Algorithm in Computations of Binary Stars’ Observational Quantities and Its Application |
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| Institution: | 1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008;2. University of Chinese Academy of Sciences, Beijing 100049;1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210034;2. Key Laboratory of Dark Matter and Space Astronomy, Chinese Academy of Sciences, Nanjing 210034;3. School of Astronomy and Space Science, University of Science and Technology of China, Hefei 230026;1. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030;2. Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Nanjing 210008;3. School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004;1. School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650500;2. School of Economics and Business Administration, Yunnan Vocational and Technical Collage of Agriculture, Kunming 650031;3. School of Physics and Electronic Engineering, Guangzhou University, Guangzhou,510006;4. Key Laboratory of the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming 650011;1. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030;2. University of Chinese Academy of Sciences, Beijing 100049;1. School of Science, Hebei University of Science and Technology, Shijiazhuang 050018;2. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024;3. College of Physics, Hebei Normal University, Shijiazhuang 050024 |
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| Abstract: | The determination of the orbital parameters of binaries is an important constituent of fundamental astronomy. It is the only reliable way to determine the stellar mass, which is crucial for the studies of stellar dynamics and evolution. And the orbital parameters can be used to compute the motions of component stars, which could improve the population of reference stars in the bright star catalogue reference frame. However, the previous studies on the determination of binaries’ orbital parameters adopted some approximations in the computation of observational quantities. According to the statistical results of hundreds of binaries with bright component stars, it could be found that the approximations in the variation of the tangent plane and the prospective effect of the reference plane have made the deviations of computed observational quantities become larger than the present observational precision (1 mas). In this paper, a new algorithm based on the two-body model and the rigorous relation of solid geometry for computing observational quantities is presented. This new algorithm has been verified by fitting the simulation and actually-observed data. And the fitting results show that the fitted parameters solved by the new algorithm usually have a higher confidence than that solved by the approximate algorithm. Therefore, the new algorithm has certain improvements in the determination of the orbital parameters of binaries, especially, for the wide binaries nearby the solar system. |
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| Keywords: | Binaries: visual ephemerides celestial mechanics |
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