Abstract <p>Stellar models are calculated in the approximation of a uniform density distribution. Variational method was used for determination of the boundary of a stability loss, for stellar masses in the range from 2 up to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1694_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\({{10}^{5}}{\kern 1pt} {{M}_{ \odot }}\)</EquationSource> <!--AstEng2570191Bisnovatyikoga-m1--> </InlineEquation>. The effects of the general relativity had been taken into account. The equation of state in the temperature and density ranges <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1694_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="104" /> </InlineMediaObject> <EquationSource Format="TEX">\({{10}^{9}} &lt; T{{ &lt; 10}^{{10}}}\)</EquationSource> <!--AstEng2570191Bisnovatyikoga-m2--> </InlineEquation> K, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11444_2025_1694_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="101" /> </InlineMediaObject> <EquationSource Format="TEX">\({{10}^{5}} &lt; \rho {{ &lt; 10}^{{10}}}\)</EquationSource> <!--AstEng2570191Bisnovatyikoga-m3--> </InlineEquation> g/cm<sup>3</sup> had been taken from the work of Imshennik and Nadyozhin (1965). The critical parameters for the values of entropy and stellar masses differ from more accurate values, obtained using a more complicated variant of accepted density distribution, not more than 12%.</p>

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Stellar Critical Parameters in the Uniform Density Approximation

  • G. S. Bisnovatyi-Kogan,
  • E. A. Patraman

摘要

Abstract

Stellar models are calculated in the approximation of a uniform density distribution. Variational method was used for determination of the boundary of a stability loss, for stellar masses in the range from 2 up to \({{10}^{5}}{\kern 1pt} {{M}_{ \odot }}\) . The effects of the general relativity had been taken into account. The equation of state in the temperature and density ranges \({{10}^{9}} < T{{ < 10}^{{10}}}\) K, \({{10}^{5}} < \rho {{ < 10}^{{10}}}\) g/cm3 had been taken from the work of Imshennik and Nadyozhin (1965). The critical parameters for the values of entropy and stellar masses differ from more accurate values, obtained using a more complicated variant of accepted density distribution, not more than 12%.