Irrotational and zero angular momentum ellipsoids in the Dirichlet problem

Details Irrotational and zero angular momentum ellipsoids in the Dirichlet problem Irrotational and zero angular momentum ellipsoids in the Dirichlet problem

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap.....23..487k&link_type=abstract

(Astrofizika, vol. 23, Nov.-Dec. 1985, p. 487-502) Astrophysics (ISSN 0571-7132), vol. 23, no. 3, May 1986, p. 654-663. Translat

Astronomy and Astrophysics

Astrophysics

Dirichlet Problem, Elliptical Galaxies, Galactic Rotation, Rotating Fluids, Angular Momentum, Axes Of Rotation, Equations Of Motion, Existence Theorems, Oscillating Flow, Potential Flow, Riemann Manifold

Scientific paper

Two classes of new exact solutions are found in the Dirichlet problem of the oscillations of a self-gravitating fluid ellipsoidal mass with linear velocity field. These solutions describe irrotational ellipsoids and ellipsoids with zero angular momentum (which are adjoint in the sense of a theorem due to Dedekind). For elliposoids with stationary boundary surface it is established that irrotational and zero angular momentum figures exist not only when the ellipsoids rotate around the central symmetry axis (Chandrasekhar considered this special case) but also for an inclined position of the rotation axis.

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