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

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

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap.....51..263m&link_type=abstract

Astrophysics, Volume 51, Issue 2, pp.263-268

Astronomy and Astrophysics

Astrophysics

Polytropes, Bifurcation Points, Magnetic Field

Scientific paper

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 ɛ. 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 ɛ for ɛ ≪ 1. The stability of the rotating polytrope with respect to the parameter X is analyzed.

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