Applications in Celestial Mechanics and Geodynamics

Abstract

AbstractIn the previous chapters we presented physical and theoretical fundamentals of the unified theory for study of unperturbed and perturbed motion of a self-gravitating celestial body which generates energy by interaction of its constituent particles. The theory is based on the functional relationship between the polar moment of inertia and the energy (potential, kinetic and total) of the natural conservative and dissipative system in the form of Jacobi’s virial equation or the generalized virial theorem The remarkable property of Jacobi’s virial equation is its ability to be simultaneously both the equation of dynamical equilibrium and equation of motion. As it was shown in Chap. 3, the equation is valid for all the known physical models of the matter interaction describing dynamics of natural systems. The functional relationship between the potential energy and the polar moment of inertia was revealed by analyzing of orbits of the artificial satellites. The potential energy, which is generated by interaction of the elementary mass particles, is the force function of the body, i.e. the active component of its motion. This energy induces the inner and outer force field of the body. The kinetic energy appears to be the reactive component of the force field which is developed in the form of motion of the same body’s mass particles and the body as a whole. Thus, Jacobi dynamics of a body is based on its own inner forces, which are developed by interaction of the elementary particle. The induced inner and outer force field of the body is the main recoded dynamical effect of the interacted elementary particles.KeywordsCelestial BodyHydrostatic EquilibriumPolar MomentJacobi FunctionMutual CoherenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.