Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011mnras.416l..75k&link_type=abstract
Monthly Notices of the Royal Astronomical Society: Letters, Volume 416, Issue 1, pp. L75-L79.
Astronomy and Astrophysics
Astronomy
Magnetic Fields, Stars: Magnetic Field
Scientific paper
In this Letter we report brand new analytic stationary solutions of constant density stars with magnetic field and self-gravity. These solutions include prolate configurations even for purely poloidal magnetic fields as well as oblate configurations. These new analytic solutions are expressed in very simple forms and can be considered as generalized configurations of uniformly rotating constant density spheroids, i.e. Maclaurin spheroids, and of constant density ellipsoids with constant vorticity, i.e. Dedekind ellipsoids. As the axisymmetric Maclaurin spheroids and the triaxial Dedekind ellipsoids have been widely used for the estimation of the effect of rotations and/or internal motions on the self-gravitating bodies, our new analytic solutions may be used widely to estimate the effect of the magnetic fields semi-quantitatively in various contexts hereafter.
Eriguchi Yoshiharu
Kawamura Takumu
Taniguchi Keisuke
Yoshida Shin'ichirou
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