Geodesic
An Analytical Estimate of Values of Pressure and Temperature at the Boundary of a Convective Core
Publications of the Department of Astronomy, Tome 6 (1976) no. 1

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We consider a model of star which is divided in two regions: the "internal" and the "external" one. The model is spherical1y symmetric, in hydrostatic equilibrium, with an equation of state for a perfect gas with $\mu$ = const. The dimensionless integral $I_{\sigma, \nu}$ (Chandrasekhar, 1939) is considered in function of its upper limit, which determines the depth of the region. Analytical estimates are given for $I_{\sigma, \nu}$, \={P} and \={T}, for the "internal" and "external" region and the values for P and T at their boundary. Particularly, for the models of the zero main-sequence stars, with $4 \leq M_{0} \leq 16$, P and T are estimated at the boundary of the convective core. 
@article{PDA_1976_6_1_a5,
     author = {Traj\v{c}e Angelov},
     title = {An {Analytical} {Estimate} of {Values} of {Pressure} and {Temperature} at the {Boundary} of a {Convective} {Core}},
     journal = {Publications of the Department of Astronomy},
     pages = {35 - 42},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1976},
     url = {http://geodesic.mathdoc.fr/item/PDA_1976_6_1_a5/}
}
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Trajče Angelov. An Analytical Estimate of Values of Pressure and Temperature at the Boundary of a Convective Core. Publications of the Department of Astronomy, Tome 6 (1976) no. 1. http://geodesic.mathdoc.fr/item/PDA_1976_6_1_a5/