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A second-order perturbation theory for differentially rotating gaseous polytropes

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Abstract

The aim of the present investigation has been to specify the structure of a differentially rotating gaseous polytrope, by extending Chandrasekhar's method to include second-order terms in the perturbation parameter. The formal results obtained permit the determination of the polytropic structure for all types of differential rotation of cylindrical symmetry. The formalism developed works efficiently in the limiting case of uniform rotation and the results obtained are compared with those of previous investigations of uniformly rotating polytropes.

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Authors and Affiliations

  1. Dept. of Mechanics, University of Patras, Greece

    V. S. Geroyannis, J. N. Tokis & F. N. Valvi

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  1. V. S. Geroyannis
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  2. J. N. Tokis
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  3. F. N. Valvi
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Geroyannis, V.S., Tokis, J.N. & Valvi, F.N. A second-order perturbation theory for differentially rotating gaseous polytropes. Astrophys Space Sci 64, 359–389 (1979). https://doi.org/10.1007/BF00639515

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  • DOI: https://doi.org/10.1007/BF00639515

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