The formation of a gaseous flow in the vicinity of the inner Lagrangian point

Astronomy and Astrophysics – Astronomy

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Eclipsing Binary Stars, Gas Flow, Hydrodynamic Equations, Lagrangian Equilibrium Points, Stellar Atmospheres, Euler Equations Of Motion, Particle Image Velocimetry, Roche Limit

Scientific paper

Consideration is given to the restructuring of the companion's atmosphere in the close binary system XZ Cephei when the companion is at the stage of filling up the Roche lobe, and an overflow of matter from its surface into the Roche lobe of the primary component can occur. The 'coarse-particle' method is used to derive numerical solutions for nonstationary equations of hydrodynamics in Euler form. The parameter distributions of a continuous medium along the line of the components' centers, which correspond to different stages of the companion's filling up of the Roche lobe, are determined. The numerical scheme is conservative, and the obtained solutions are close to the stationary ones.

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