Physics
Scientific paper
Feb 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..19..173f&link_type=abstract
Celestial Mechanics, vol. 19, Feb. 1979, p. 173-201.
Physics
12
Gravitational Collapse, Virial Theorem, Boundary Value Problems, Celestial Mechanics, Mass Distribution, Moments Of Inertia, Potential Energy, Radial Distribution
Scientific paper
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.
Denisik S. A.
Ferronskii S. V.
Ferronskii V. I.
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