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Published online by Cambridge University Press: 07 February 2017
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.