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Equilibrium figures with a magnetic field

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Abstract

A set of equations which are magnetohydrodynamic equilibrium conditions in the case of axial symmetry is solved. The possibility of splitting Maclaurin's sequence in the presence of a magnetic field is shown. The effect of a forceless magnetic field on Maclaurin'sP-ellipsoid is investigated.

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References

  1. Chandrasekhar, S. and Fermi, E.: 1953,Astrophys. J. 118, 116.

    Google Scholar 

  2. Gjellestad, G.: 1957,Astrophys. J. 126, 565.

    Google Scholar 

  3. Ferraro, V. C. A.: 1954,Astrophys. J. 119, 407.

    Google Scholar 

  4. Woltjer, L.: 1962,Astrophys. J.,135, 235.

    Google Scholar 

  5. Roxburgh, J. W.: 1966,Monthly Notices Roy. Astron. Soc. 132, 347.

    Google Scholar 

  6. Roxburgh, J. W. and Durney, B.: 1967,Monthly Notices Roy. Astron. Soc. 135, 329.

    Google Scholar 

  7. Nakagawa, Y. and Trehan, S. K.: 1968,Astrophys. J. 151, 1111.

    Google Scholar 

  8. Ostriker, J. P. and Hartwick, F. D. A.: 1968,Astrophys. J.,153, 797.

    Google Scholar 

  9. Oganesyan, R. S. and Abranyon, M. G.: 1973,Astrofiz. 9, 401.

    Google Scholar 

  10. Oganesyan, R. S. and Abranyon, M. G.: 1973,Astron. J. 50, 996.

    Google Scholar 

  11. Woltjer, L.: 1958,Proc. Nat. Acad. Sci. 44, 833.

    Google Scholar 

  12. Alfvén, H. and Fälthammar, C.-G.: 1963,Cosmical Electrodynamics, Oxford University Press, London.

    Google Scholar 

  13. Sinha, N. K.: 1968,Austr. J. Phys. 21, 283.

    Google Scholar 

  14. Chandrasekhar, S.: 1956,Proc. Nat. Acad. Sci. 42, 1.

    Google Scholar 

  15. Chandrasekhar, S.: 1956,Astrophys. J. 124, 232.

    Google Scholar 

  16. Chandrasekhar, S.: 1969,Ellipsoidal Figures of Equilibrium, Yale University Press, New Haven and London.

    Google Scholar 

  17. Богородский А. Ф.: 1966,Ма⋗нитная ⋗идромеханика, Киевский универитет.

  18. Morikawa, G. K.: 1969,Phys. Fluids 12, 1648.

    Google Scholar 

  19. Cohen, R. H., Coppi, B., and Treves, A.: 1973,Nuovo Cimento,13, 59.

    Google Scholar 

  20. Mestel, L.: 1961,Monthly Notices Roy. Astron. Soc. 122, 473.

    Google Scholar 

  21. Prendergast, K. H.: 1956,Astrophys. J. 123, 498.

    Google Scholar 

  22. Lichenstein, L.: 1965,Equilibrium Figures of Rotating Fluids, Nauka, Moscow.

    Google Scholar 

  23. Appell, P.: 1936,Equilibrium Figures of Homogeneous Rotating Fluids, ONTI, Leningrad-Moscow.

    Google Scholar 

  24. Mestel, L.: 1970, in L. H. Aller and D. B. McLaughlin (eds.),Stellar Structure, The University of Chicago, Chicago and London.

    Google Scholar 

  25. Дайсон, Ф., и Хаар, Д.: 1973,Нейтронные звезды и пульсары, Мир, Москва.

    Google Scholar 

  26. Kangas, J. and Raychaudhuri, P.: 1973Astrophys. Space Sci. 22, 123.

    Google Scholar 

  27. Kravtsov, O. V.: 1974, preprint.

  28. Bondarenko, N. P. and Kravtsov, O. V.: 1975,Astrophys. Space Sci. 32, 379.

    Google Scholar 

  29. Bondarenko, N. P. and Pyragas, K. A.: 1974,Astrophys. Space Sci. 27, 453.

    Google Scholar 

  30. Озерной, Л. М., Прилуцкий, О. Ф. и Розенталь, И. Л.: 1973, Астрофизика высоких энергий,Атомиздат, Москва.

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Authors and Affiliations

  1. Physics Department, Gomel University, Gomel, USSR

    N. P. Bondarenko

  2. Physics Department, Kiev Polytechnical Institute, Kiev, USSR

    O. V. Kravtsov

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  1. N. P. Bondarenko
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  2. O. V. Kravtsov
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Bondarenko, N.P., Kravtsov, O.V. Equilibrium figures with a magnetic field. Astrophys Space Sci 46, 341–356 (1977). https://doi.org/10.1007/BF00644382

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  • DOI: https://doi.org/10.1007/BF00644382

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