Physical Meaning of Hydrostatic Equilibrium of Celestial Bodies

Abstract

It was shown earlier that the fundamentals of classical dynamics, based on hydrostatics, do not satisfy the solution of dynamical problems of celestial bodies (Ferronsky and Ferronsky 2010; Ferronsky et al. 2011). The discovered common dynamical effect of orbiting the creating planets and satellites with the first cosmic velocity proves correct for this purpose Jacobi’s dynamical (oscillating) approach. In this connection, in Chaps. 2 and 3, the physical meaning of the hydrostatic and dynamic equilibrium of celestial bodies is discussed in detail.

Newton’s model of the hydrostatic equilibrium of a uniform body, Clairaut’s model of the hydrostatic equilibrium of a nonuniform body, Euler’s model of the hydrostatic equilibrium of a rotating rigid body, Clausius’ virial theorem, and the model of hydrostatic equilibrium of elastic and viscous-elastic body are analyzed in this chapter. The main features of the hydrostatic equilibrium are the outer acting forces and the force field and the loss of kinetic energy. As a result, the sum of the inner forces and moments is equal to zero, and the body’s equilibrium is not controlled.

Demonstrated evidences obtained by the artificial satellite and other geodetic observation prove that the Earth and the Moon do not stay in hydrostatic equilibrium.