The Evolution of the System of Gravitating Bodies

Abstract

A natural physical approach to the analysis of the structure of closed gravitating systems has been formulated in the scope of classical mechanics. The approach relies on the interrelation between densities of nested spheres inscribed in the circular orbits of the system bodies. An empirical law has been defined for the evolution of closed gravitating systems differing in mass, time scale and distance from the ground-based Observer. The gravitating systems undergo modifications and evolve from their initial state, namely, a gasand-dust formation of almost constant density over the entire volume, to a certain terminal phase of the process when the system structure becomes similar to the planetary system (like the Solar system) where almost all the gravitating mass is concentrated in the vicinity of the system center of gravity. Using the proposed method of nested spheres, it is possible to reveal for the gravitating system the character of radial distribution of matter density in the system symmetry plane, quantitatively evaluate the density of medium containing the gravitating system under consideration, and assess the current phase of the system evolution. The research results have led us to a conclusion that introduction into the scientific practice of such an entity as "dark matter" has no physical background since it is based on a wrong interpretation of an "unordinary" distribution of star orbital velocities in galaxies.

Modeling the Evolution of a Cluster of Gravitating Bodies Taking Into Account Their Absolutely Inelastic Collisions

“…In paper [2] it was shown that the initial distribution of orbit radii of the cluster bodies may be expressed as follows:…”

“…3 such a value of α at which the gravitating bodies comprising the cluster are in the state preceding the borderline phase when the rotation curve contains a plateau, namely, α < 2.7 . Thus, we have defined natural initial conditions necessary to continue solving the task in hand (2).…”

“…What should be the procedure for quantitative evaluation of the state of the process involving continuous variations in the spatial locations of all the gravitating bodies and in their number and masses? Let us use the method of nested Spheres whose principles were described in detail in paper [2]. This method enables calculation of the evolution number β characterizing the current radial distribution of the gravitating bodies forming the cluster.…”

“…Variants of the natural initial values of the body orbit radii at different moments of the cluster evolution. β is the evolution number[2] …”

Decimal-by-Decimal Analysis of the Gravitational Constant Value as Exemplified by Torsion Balance

“…General experience in purposeful and conscious instrumental observation of planet orbits, galaxies dynamics [5], tides on land and sea, and the Earth's gravitational field strength allows us to state that gravitational interaction between material bodies depends exclusively on their masses, geometry and distance between them. In other words, the observed gravitational interaction is defined only by the character of the physical-spatial distribution of the material medium as a whole.…”