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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 3, Pages 142–153 (Mi vuu290)  

MECHANICS

Figures of equilibrium of liquid self-gravitating inhomogeneous mass

I. A. Bizyaeva, T. B. Ivanovab

a Udmurt State University, Izhevsk, Russia
b Department of Theoretical Physics, Udmurt State University, Izhevsk, Russia

Abstract: 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, confocal stratification, spheroid, Euler equations.

Full text: PDF file (236 kB)
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Document Type: Article
UDC: 532.5
MSC: 70F99
Received: 01.08.2011

Citation: I. A. Bizyaev, T. B. Ivanova, “Figures of equilibrium of liquid self-gravitating inhomogeneous mass”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 142–153

Citation in format AMSBIB
\Bibitem{BizIva11}
\by I.~A.~Bizyaev, T.~B.~Ivanova
\paper Figures of equilibrium of liquid self-gravitating inhomogeneous mass
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 142--153
\mathnet{http://mi.mathnet.ru/vuu290}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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