The calculation of normal stars structure within the generalized polytropic model

The generalized polytropic equation of state P(r})=K(ρ(r)/f(r))^4/3 for calculation of stars' characteristics of an arbitrary age with a spatially heterogeneous distribution of chemical composition (f(r)=μ(r)/<span style="text-decoration:overline">μ, where μ(r) is the local value of the dimensionless molecular weight, and <span style="text-decoration:overline">μ is its average value over the star volume) was constructed by the Eddington method. Using the example of the Sun, it is shown that the standard polytropic model (f(r)=1) corresponds to the stars of zero age. The characteristics of the Sun in the modern epoch and their evolutionary changes were calculated. The obtained results are close to those based on the system of Schwarzschild equations. The proposed approach is applied to the calculation of the internal structure of the star model with axial rotation.