Generalized polytropes - Stellar structure with a Boltzmann factor

Details Generalized polytropes - Stellar structure with a Boltzmann factor Generalized polytropes - Stellar structure with a Boltzmann factor

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..86..397c&link_type=abstract

Astrophysics and Space Science, vol. 86, no. 2, Sept. 1982, p. 397-417. Research supported by the Fonds National de la Recherche

Astronomy and Astrophysics

Astrophysics

2

Boltzmann Distribution, Polytropic Processes, Stellar Models, Stellar Structure, Gas Pressure, Main Sequence Stars, Mathematical Models, Radiation Pressure, Stellar Luminosity, Stellar Mass

Scientific paper

A density profile of unique form is suggested for the study of the structure of a chemically homogeneous star in equilibrium, while, for the case of polytropes, qualitative aspects of the resulting stellar model can be discussed analytically. It is noted that Eddington's standard model is reobtained for an N value of 3.0, while for N smaller than 3.0, nearly polytropic models result. At N greater than 3.0, the effective polytropic index varies significantly over the star. Numerical results show that the proposed density profile is reasonable, in view of the model's simplicity, and it is suggested that the model may prove useful in studies of the structure of stellar clouds, clusters, and spherical galaxies.

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