<p>In this paper, we investigated the orbital elements and stellar parameters of resolved spectroscopic binary systems. It is shown that resolved spectroscopic binary stars are an important (and sometimes indispensable) source of information on the distances to stars. We have compiled a comprehensive catalog of resolved spectroscopic binaries and conducted statistical analysis on 173 stars from this catalog. As a result, we have constructed distributions for orbital elements and component masses. In particular, it is shown that orbital parallaxes are preferable to trigonometric parallaxes in a certain semi-major axis (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10509_2024_4393_Article_IEq1.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi>a</mi> <mo>&gt;</mo> </math></EquationSource> <EquationSource Format="TEX">$a &gt;$</EquationSource> </InlineEquation> 26-27 AU) and brightness (V&#xa0;&gt; 9-10 mag) range. Also, trigonometric parallaxes of distant (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10509_2024_4393_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi>d</mi> <mo>&gt;</mo> <mo>≈</mo> </math></EquationSource> <EquationSource Format="TEX">$d &gt; \approx $</EquationSource> </InlineEquation>1 kpc) binaries seem to be overestimating the distance. We have shown also that the resolved spectroscopic binaries confirm the Zahn’s circularization theory.</p>

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Resolved spectroscopic binaries: orbital elements and parallaxes

  • Dugasa Belay Zeleke,
  • Arseniy M. Sachkov,
  • Oleg Y. Malkov,
  • Seblu Humne Negu,
  • Solomon Belay Tessema,
  • Alyona D. Grinenko

摘要

In this paper, we investigated the orbital elements and stellar parameters of resolved spectroscopic binary systems. It is shown that resolved spectroscopic binary stars are an important (and sometimes indispensable) source of information on the distances to stars. We have compiled a comprehensive catalog of resolved spectroscopic binaries and conducted statistical analysis on 173 stars from this catalog. As a result, we have constructed distributions for orbital elements and component masses. In particular, it is shown that orbital parallaxes are preferable to trigonometric parallaxes in a certain semi-major axis ( a > $a >$ 26-27 AU) and brightness (V > 9-10 mag) range. Also, trigonometric parallaxes of distant ( d > $d > \approx $ 1 kpc) binaries seem to be overestimating the distance. We have shown also that the resolved spectroscopic binaries confirm the Zahn’s circularization theory.