2. Physical bases of «analytical astrophysics»
Copyright © 2010 by Stanislav Kozlov
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From the last formula it is visible, that at the decrease of Rn, the pressure acting on a layer with radius Rn increases, and Δp increases between layer «A» and layer «N».
From the stated above, the pressure created by force F and directed into the center will increase with the approach to the center of the sphere. In other words, in our case there is a concentration (accumulation) of force in the center.
This peculiarity, concentration of force, radiation, energy in the center, is one of the most important peculiarities of the spherical form. Probably, due to this peculiarity, there are processes of synthesis both easy and heavy kernels in stars.
According to calculations of reduction of radius of the sphere, the pressure directed inside this sphere increases and reaches huge values. So on distance Rk =0.282 m from the center, and with area of the surface of the sphere equal to 1 m2, value of pressure acting on this sphere, will be equal to value to all the force of compression on the surface of a star. At smaller radius Rk the pressure increases sharply. Whether such increase in pressure is probable and how the matter of a star behaves at such high pressure and a heat, remains unknown for us meanwhile. But we can predict it. We know that with an increase in pressure, the density of gas increases up to liquid and firm state, that possibly occurs inside of a star as well. Helio-seismological researches of the Sun speak about the existence of a firm kernel in the center of the star.
Let’s disassemble another peculiarity of the spherical form, but of a firm body, yet, it’s not less surprising. Under the same conditions which we have considered for the gas sphere, for a sphere from a firm matter, the distribution of loading will be absolutely opposite.
That means, the loading acting on the surface of the sphere, from a firm matter, with approach to the center of the sphere, does not increase, as it is observed in a variant with gas, and on the contrary – it decreases, and reaches the minimal values in the center.
All basic loading is accepted with external layers of the firm sphere.
This peculiarity of a firm sphere is not studied in conditions of stars yet and requires serious researches.
Whether the existence of a firm body is possible at such heats and pressure, and what values of these parameters exist in stars, we do not know yet. According to helio-seismology it is possible to draw a conclusion, that a kernel of the Sun is firm or liquid, or a combination of firm and liquid matter.
Let’s consider graphically, on the schedule №G-2.2, the distribution of loading in a sphere from gas and in a sphere from a firm matter. We do not consider action of gravities.
