Geodesic
Figures of equilibrium of liquid self-gravitating inhomogeneous mass
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 142-153

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We consider the inhomogeneous self-gravitating liquid spheroid with confocal stratification which rotates around the minor semiaxis and is in equilibrium. General relationships for pressure, angular velocity and gravitational potential of the spheroid with any density function are obtained. Special cases of piecewise constant and continuous density functions are analyzed.
Keywords: self-gravitating fluid, spheroid
Mots-clés : confocal stratification, Euler equations. 
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     author = {I. A. Bizyaev and T. B. Ivanova},
     title = {Figures of equilibrium of liquid self-gravitating inhomogeneous mass},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {142--153},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a12/}
}
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I. A. Bizyaev; T. B. Ivanova. Figures of equilibrium of liquid self-gravitating inhomogeneous mass. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 142-153. http://geodesic.mathdoc.fr/item/VUU_2011_3_a12/