Some applications of Jacobi dynamics to the stellar evolution

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Jacobi Integral, Moments Of Inertia, Potential Energy, Pre-Main Sequence Stars, Stellar Evolution, Stellar Models, Chemical Composition, Computerized Simulation, Stellar Interiors, Stellar Luminosity, Stellar Structure, T Tauri Stars

Scientific paper

Elements of Jacobi dynamics are used to compare computational results from stellar models and the evolutive behavior of the stars. A linearized form of the Jacobi equation is employed to analyze the dependency on the time of the coefficients alpha(t), beta(t) of the inner structure of the stars. These coefficients and the stellar radii can be applied to define all the dynamical parameters: the potential energy, the momentum of inertia, the Jacobi function, and the amount of action, as well as the relations among them depending on the geometry of the problems. The computational models used include premain-sequence stages and variations in the chemical computation. The main sequence was found to represent a state of minimum action and potential energy where the amount of action and the potential energy are nearly invariant when compared to the variations of any other stellar parameter such as luminosity, radius, or the density on which alpha(t), beta(t) depend.

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