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Emden-chandrasekhar axisymmetric,rigidly rotating polytropes
Authors:R Caimmi
Institution:(1) Dipartimento di Astronomia, Università di Padova, Italia
Abstract:An approximate analytical method of solving the polytropic equilibrium equations, first developed by Seidov and Kuzakhmedov (1978), has been extended and generalized to equilibrium configurations of axisymmetric systems in rigid rotation, with polytropic index,n =n p + delta n , nearn p =0, 1, and 5. Though the details of the method depend on the value ofn p , acceptable results are obtained for |delta n | lap 0.5 to describe slowly rotating configurations in the range 0lenle1.5, 4.5lenle5. In the limit of rotational equilibrium configurations, when the distorsion may be large enough, a satisfactory approximation holds only in the range 0lapn, 1lenlap1.5, 4.5lapnle5.
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