Riemann S-ellipsoids with a magnetic field

Details Riemann S-ellipsoids with a magnetic field Riemann S-ellipsoids with a magnetic field

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987pazh...13..539a&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal (ISSN 0320-0108), vol. 13, June 1987, p. 539-544. In Russian. In Russian.

Astronomy and Astrophysics

Astronomy

1

Ellipsoids, Magnetic Field Configurations, Plasma-Electromagnetic Interaction, Riemann Manifold, Rotating Plasmas, Angular Velocity, Axes Of Rotation, Maclaurin Series

Scientific paper

The Riemann S-ellipsoids with inner magnetic fields are generalized. Such a magnetic field prolongs the self-conjugated spheroids with negative inner circulation of matter along the rotation axes and provides an equilibrium of the new series of the strongly oblated ones with positive inner circulation of matter. The azimuthal magnetic field doesn't change the geometry of Jacoby ellipsoids, but increases the angular velocity of their rotation. Toroidal magnetic fields stabilize the strongly oblated Maclaurin spheroids. There exists a critical value of magnetic induction on the ellipsoid's equator which stabilizes the Maclaurin spheroids.

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