CAOSP abstracts, Volume: 54, No.: 1, year: 2024

Author(s): Vavrukh, M.; Dzikovskyi, D.
Journal: Contributions of the Astronomical Observatory Skalnaté Pleso, vol. 54, no. 1, p. 36-56.
Date: 02/2024
Title: The calculation of normal stars structure within the generalized polytropic model
Keyword(s): methods: analytical, stars: fundamental parameters, stars: interiors, stars: evolution
Pages: 36 -- 56
DOI: https://doi.org/10.31577/caosp.2024.54.1.36
NASA ADS Abstract Service: 2024CoSka..54a..36V
Citation:
License: This work is licensed under a Creative Commons Attribution 4.0 International License

Abstract: 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)/μ, where μ(r) is the local value of the dimensionless molecular weight, and 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.