The virial-based solution for the velocity of gaseous sphere gravitational contraction |
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| Authors: | V I Ferronsky S A Denisik S V Ferronsky |
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| Institution: | (1) Water Problems Institute of the Academy of Sciences of the USSR, 13/3 Sadovaya-Chernogriazskaya, K-64 Moscow, USSR |
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| Abstract: | It is found that the relationship between the potential energy and the moment of the inertia independent of the radial mass distribution obtained earlier for the sphere also holds in the case of the ellipsoidal mass distribution for the ellipsoid of rotation.The possibility of application of the energy virial relations for solution of the evolutionary problems of the gravitating gaseous sphere, with the help of the relationship found earlier, is demonstrated. The physical conditions on the gaseous sphere boundary are introduced. The existence of two branches of evolution, the proton one and the electron one, is established. The problem of the gravitational contraction velocity during sphere evolution is solved. The relationship between the boundary temperature and the gaseous sphere radius as well as between the luminosity and the body mass is obtained. Some limiting relations for the final stage of the gaseous sphere evolution are found.
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