Abstract <p>High-precision photometric measurements of the unexplored eclipsing star V1141 Cas (<i>P</i> = 6.909<sup><i>d</i></sup>, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="80" /> </InlineMediaObject> <EquationSource Format="TEX">\(V{{ = 12.02}^{m}}\)</EquationSource> <!--AstEng2570199Volkova-m1--> </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\(e = 0.37\)</EquationSource> <!--AstEng2570199Volkova-m2--> </InlineEquation>, Sp B1 V) have shown that the apsidal rotation velocity, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="95" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\dot {\omega }}_{{{\text{obs}}}}} = 0.127^\circ \)</EquationSource> <!--AstEng2570199Volkova-m3--> </InlineEquation>/yr, is two times slower than the theoretical value under the synchronism condition, <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="105" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\dot {\omega }}_{{{\text{theor}}}}} = 0.235^\circ \)</EquationSource> <!--AstEng2570199Volkova-m4--> </InlineEquation>/yr. The physical parameters of the component stars were obtained: <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="127" /> </InlineMediaObject> <EquationSource Format="TEX">\({{T}_{1}} = 23\,500 \pm 400\)</EquationSource> <!--AstEng2570199Volkova-m5--> </InlineEquation> K, <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="137" /> </InlineMediaObject> <EquationSource Format="TEX">\({{M}_{1}} = 8.4 \pm 0.5{\kern 1pt} {{M}_{ \odot }}\)</EquationSource> <!--AstEng2570199Volkova-m6--> </InlineEquation>, <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq7.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="146" /> </InlineMediaObject> <EquationSource Format="TEX">\({{R}_{1}} = 4.24 \pm 0.08{\kern 1pt} {{R}_{ \odot }}\)</EquationSource> <!--AstEng2570199Volkova-m7--> </InlineEquation>, <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="127" /> </InlineMediaObject> <EquationSource Format="TEX">\({{T}_{2}} = 22\,000 \pm 400\)</EquationSource> <!--AstEng2570199Volkova-m8--> </InlineEquation> K, <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq9.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="137" /> </InlineMediaObject> <EquationSource Format="TEX">\({{M}_{2}} = 7.0 \pm 0.5{\kern 1pt} {{M}_{ \odot }}\)</EquationSource> <!--AstEng2570199Volkova-m9--> </InlineEquation>, and <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq10.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="146" /> </InlineMediaObject> <EquationSource Format="TEX">\({{R}_{2}} = 3.38 \pm 0.08{\kern 1pt} {{R}_{ \odot }}\)</EquationSource> <!--AstEng2570199Volkova-m10--> </InlineEquation>. The age of the system is determined to&#xa0;&#xa0;&#xa0;be 7.5 million years with a solar chemical composition. The measured photometric parallax, <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq11.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="174" /> </InlineMediaObject> <EquationSource Format="TEX">\(\pi =0.00031^{\prime\prime} \pm 0.00004^{\prime\prime} \)</EquationSource> <!--AstEng2570199Volkova-m11--> </InlineEquation>, is very close to the Gaia value. The interstellar extinction, <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1703_Article_IEq12.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="78" /> </InlineMediaObject> <EquationSource Format="TEX">\({{A}_{{\text{V}}}} = {{2.2}^{m}}\)</EquationSource> <!--AstEng2570199Volkova-m12--> </InlineEquation>, is 40 percent higher than the survey’s data.</p>

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Reasons for the Slow Apsidal Rotation of the Massive Eclipsing Star V1141 Cas

  • A. S. Volkova,
  • I. M. Volkov,
  • S. A. Naroenkov

摘要

Abstract

High-precision photometric measurements of the unexplored eclipsing star V1141 Cas (P = 6.909d, \(V{{ = 12.02}^{m}}\) , \(e = 0.37\) , Sp B1 V) have shown that the apsidal rotation velocity, \({{\dot {\omega }}_{{{\text{obs}}}}} = 0.127^\circ \) /yr, is two times slower than the theoretical value under the synchronism condition, \({{\dot {\omega }}_{{{\text{theor}}}}} = 0.235^\circ \) /yr. The physical parameters of the component stars were obtained: \({{T}_{1}} = 23\,500 \pm 400\) K, \({{M}_{1}} = 8.4 \pm 0.5{\kern 1pt} {{M}_{ \odot }}\) , \({{R}_{1}} = 4.24 \pm 0.08{\kern 1pt} {{R}_{ \odot }}\) , \({{T}_{2}} = 22\,000 \pm 400\) K, \({{M}_{2}} = 7.0 \pm 0.5{\kern 1pt} {{M}_{ \odot }}\) , and \({{R}_{2}} = 3.38 \pm 0.08{\kern 1pt} {{R}_{ \odot }}\) . The age of the system is determined to   be 7.5 million years with a solar chemical composition. The measured photometric parallax, \(\pi =0.00031^{\prime\prime} \pm 0.00004^{\prime\prime} \) , is very close to the Gaia value. The interstellar extinction, \({{A}_{{\text{V}}}} = {{2.2}^{m}}\) , is 40 percent higher than the survey’s data.