The Oscillations and the Stability of Rotating Masses with Magnetic Fields. IV: Existence of the Point of Bifurcation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The existence of the point of bifurcation of rotating gaseous masses with toroidal magnetic fields is established from the first variations of the integral properties provided by the second-order virial relations. It is shown that the point of bifurcation, where the Jabcobi ellipsoids branch off from the Maclaurin spheroids, is unaffected by the presence of toroidal magnetic fields.

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