Analytic study of the classical equilibrium of highly rotating spheroidal polytropes.

Details Analytic study of the classical equilibrium of highly rotating spheroidal polytropes. Analytic study of the classical equilibrium of highly rotating spheroidal polytropes.

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992acphh..72...55s&link_type=abstract

Acta Phys. Hung., Vol. 72, No. 1, p. 55 - 69

Physics

Scientific paper

The theory of polytropes is fundamental in investigations of stellar structure, star formation, galactic dynamics etc., but also in the rough estimation of some processes in real stars. Some aspects of the structural features of the classical (Newtonian) equilibrium of a highly rotating spheroidal polytrope n = 1 are considered. Approximate analytical solutions to the equilibrium equations suitable for use in very short computer programs or on calculators are given. Under certain transformations, the equilibrium equation was written into first order differential equations. Transformations connecting solutions in these planes were derived. It was found that the present approach is also more suitable for the study of both slowly and highly rotating configurations.

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