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The Oscillations and the Stability of Rotating Masses With Magnetic Fields

Published online by Cambridge University Press:  07 February 2017

R. K. Kochhar
Affiliation:
Dept. of Mathematics, Panjab University, Chandigarh, India
S. K. Trehan
Affiliation:
Dept. of Mathematics, Panjab University, Chandigarh, India

Abstract

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It is shown that when a magnetic field is present along the axis of rotation, the point of bifurcation, where the Jacobi ellipsoids branch off from the Maclaurin spheroids, occurs at a value of eccentricity higher than the value e = 0.81267 that obtains in the absence of a magnetic field. This is in contrast with the effect of a toroidal magnetic field which, as has been shown earlier, leaves the point of bifurcation unaffected.

Type
Part VI Instability Mechanisms
Copyright
Copyright © Reidel 1974