A method of determining binary orbits by incorporating long-term observational data

Astronomy and Astrophysics – Astronomy

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Stars: Binaries, Celestial Mechanics: Determination Of Orbit, Method: Data Analysis

Scientific paper

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 "73Leo", 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.

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