A numerical method for generating rapidly rotating bipolytropic structures in equilibrium

Kadam Kundan, Vaman and Motl, Patrick M. and Frank, Juhan and Clayton, Geoffrey C. and Marcello, Dominic C. (2016) A numerical method for generating rapidly rotating bipolytropic structures in equilibrium. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 462. pp. 2237-2245. ISSN 0035-8711

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Abstract

We demonstrate that rapidly rotating bipolytropic (composite polytropic) stars and toroidal discs can be obtained using Hachisu's self-consisten field technique. The core and the envelope in such a structure can hav different polytropic indices and also different average molecula weights. The models converge for high T/|W| cases, where T is th kinetic energy and W is the gravitational energy of the system. Th agreement between our numerical solutions with known analytical as wel as previously calculated numerical results is excellent. We show tha the uniform rotation lowers the maximum core mass fraction or th Schönberg-Chandrasekhar limit for a bipolytropic sequence. We als discuss the applications of this method to magnetic braking in low-mas stars with convective envelopes

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