Abstract
Using first variations of the integral properties of equilibrium second-order virial relations, the existence of the point of bifurcation of rotating gaseous masses with magnetic fields is substantiated. With the presence of a magnetic field component along the axis of rotation, it is shown that the point of bifurcation, where the Jacobi ellipsoids branch off from the Maclaurin spheroids, is altered, and in fact shifts to higher values of eccentricity compared to the one (namely,e=0.81267) obtained when there is no magnetic field.
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References
Chandrasekhar, S.: 1963,Astrophys. J. 137, 1185.
Chandrasekhar, S.: 1969,Ellipsoidal Figures of Equilibrium, Yale University Press, New Haven, Connecticut.
Kochhar, R. K. and Trehan, S. K.: 1971,Astrophys. J. 168, 265.
Kochhar, R. K. and Trehan, S. K.: 1973,Astrophys. J. 181, 519.
Nakagawa, Y. and Trehan, S. K.: 1970,Astrophys. J. 160, 725.
Trehan, S. K. and Singh, M.: 1975,Astrophys. Space Sci. 33, 43.
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Trehan, S.K., Singh, M. The oscillations and the stability of rotating masses with magnetic fields. Astrophys Space Sci 53, 335–338 (1978). https://doi.org/10.1007/BF00645022
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DOI: https://doi.org/10.1007/BF00645022