Symbolic analytical solutions for the abundances differential equations of the Helium burning phase

Astronomy and Astrophysics – Astronomy

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Stars: Evolution (Nucleosynthesis, Helium Burning Phase), Stars: Interiors

Scientific paper

In this paper, a literal analytical solution is developed for the abundances differential equations of the helium burning phase in hot massive stars. The abundance for each of the basic elements 4He,12C,16O and 20Ne is obtained as a recurrent power series in time, which facilitates its symbolic and numerical evaluations. Numerical comparison between the present solution and the numerical integration of the differential equations for the abundances show good agreement.

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