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VbvAstE-001

Book Boris V. Vasiliev Astrophysics

log L/L o 6 5 4 measured

log L/L o 6 5 4 measured L~M 3.74 3 2 1 theory L~M 11/3 0 -1 -0.1 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 log M/M o Figure 6.3: The dependence of star luminosity on the star mass of close binary stars [11]. The luminosities are normalized to the luminosity of the Sun, the stars masses are normalized to the mass of the Sum. The data are shown on double logarithmic scale. The solid line shows the result of fitting of measurement data L ∼ M 3.74 . The theoretical dependence L ∼ M 11/3 (Eq.6.24) is shown by dotted line. 51

Figure 6.4: The schematic of the star interior 6.3.1 The compilation of the results of calculations Let us put together the results of calculations. It is energetically favorable for the star to be divided into two volumes: the core is located in the central area of the star and the atmosphere is surrounding it from the outside. (Fig.6.4). The core has the radius: ( a B c R ⋆ = 2.08 Z(A/Z) Gm 2 p It is roughly equal to 1/10 of the stellar radius. At that the mass of the core is equal to ) 1/2 ≈ 1.41 · 1011 cm. (6.25) Z(A/Z) M ⋆ = 6.84 M Ch ( A Z ) 2 . (6.26) It is almost exactly equal to one half of the full mass of the star. 52

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