The Body’s Evolutionary Processes as Сentrifugal and Gyroscopic Effects of Interaction Energy Emission

Abstract

We consider problems of the gravitational evolution of a gaseous sphere based on Jacobi’s virial equation and the relationship between potential energy and the moment of inertia of the sphere in the form $- U\sqrt\Phi =\upalpha \upbeta Gm^{5/2}$. The problems to be solved are as follows:

• Equilibrium boundary conditions for a self-gravitating gaseous sphere;

• Velocity of gravitational differentiation of a gaseous sphere;

• The luminosity–mass relationship;

• Bifurcation of a dissipative system;

• Cosmochemical effects;

• Radial distribution of mass density and the body’s inner force field;

• Oscillation frequency and angular velocity of shell rotation;

• The nature of precession, nutation and body’s equatorial plane obliquity;

• The nature of Chandler’s effect of the Earth pole wobbling .

All the above tasks have physical formulations and mathematical solutions.