Condition for Convective Cores in Main Sequence Stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stars, Convective Cores, Convection, Stellar Models

Scientific paper

The aim of this work is to find the condition for the existence of convective cores in homogenous main sequence stars where the opacity per unit mass is $k=k_0ρα T-β and the energy generation rate per unit mass is ɛ=ɛ0ρ Tη (ρ and T being the density and the temperature, respectively).
Numerical models of stars with different values of α, β and η are constructed and the condition for the existence of a convective core in terms of the relation between α, β and η determined.
Forty points η=η(α,β) are determined for αin[0,2] and βin[0,4] and the condition is found to be
η = - 3.3294; α + 2.0243; β + 1.8393

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