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Shift in the bifurcation points of rotating magnetized newtonian polytropes caused by a magnetic field

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Abstract

Criteria are formulated for determining the critical points and bifurcation points of rotating, magnetized, newtonian polytropes, which coincide in the absence of a magnetic field. The magnitude of the shift in these points is estimated in terms of the flatness parameter e and rotation speed ε. The dependence of the total energy of a polytrope near the bifurcation and critical points is calculated as a function of the asymmetry parameters X for the distribution of mass relative to the axis of rotation and of the rotation speed ε for ε ≪ 1. The stability of the rotating polytrope with respect to the parameter X is analyzed.

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References

  1. J. H. Jeans, Problems of Cosmogony and Stellar Dynamics, Cambridge Univ. Press (1919).

  2. R. A. James, The structure and stability of rotating gas masses, Astrophys. J. 140, 552 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  3. J. L. Tassul, The Theory of Rotating Objects [Russian translation], Mir, Moscow (1982), 472 pp.

    Google Scholar 

  4. E. V. Bespal'ko, S. A. Mikheev, I. V. Puzynin, and V. P. Tsvetkov, A gravitating, rapidly rotating, superdense configuration with realistic equations of state, Mat. modelirovanie 118, No. 3, 103 (2006).

    MathSciNet  Google Scholar 

  5. S. A. Mikheev and V. P. Tsvetkov, Bifurcation points of rotating magnetized newtonian polytropes with indices close to unity, OIYaI Preprint R11-2007-114; Pis'ma v ÉChAYa (in press).

  6. Ya. B. Zel'dovich and I. D. Novikov, Relativistic Astrophysics [in Russian], Nauka, Moscow (1967), p. 203.

    Google Scholar 

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Authors and Affiliations

  1. Tver State University, Tver, Russia

    S. A. Mikheev & V. P. Tsvetkov

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  1. S. A. Mikheev
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  2. V. P. Tsvetkov
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Translated from Astrofizika, Vol. 51, No. 2, pp. 321–327 (May 2008).

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Mikheev, S.A., Tsvetkov, V.P. Shift in the bifurcation points of rotating magnetized newtonian polytropes caused by a magnetic field. Astrophysics 51, 263–268 (2008). https://doi.org/10.1007/s10511-008-9003-y

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  • DOI: https://doi.org/10.1007/s10511-008-9003-y

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