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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, Issue 17, Pages 73–84 (Mi vtpmk301)

Numerical Calculations Models for Physical-Mechanical Systems

Formation of ring-shaped bubbles in the mathematical model of the rotating Newtonian polytrops

S. A. Miheev, V. P. Tsvetkov

Tver State University, Tver

Abstract: In work existence at Newtonian polytropes rapidly rotating with an index $n \geq 1.254$ areas in which the density is close to zero is proved. These areas (bubbles) have ring-shaped structure. There was performed the check up of performance of the boundary conditions on a bubble surface. Explicitly association of a configuration of bubbles on parameters of flatness $e$ and speed of rotation $\varepsilon$ of a configuration is investigated. In the case of the equation of the condition nonrelativistic degenerate neutron gas ($n=1.5$) restrictions on period of rotation $T$ of a configuration in the region of bubble existence are received at arbitrary value the configuration's mass $m$ $11.579 \cdot 10^{-3}$s$\leq T\cdot m/m_{\odot} \leq 11.917 \cdot 10^{-3}$s.

Keywords: ring-shaped bubbles, Newtonian polytropes, polynomial, approximation.

UDC: 519.6,517.9

Received: 31.03.2010
Revised: 05.04.2010



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