Solution to the Problem of Galactic Rotation Curves : Treatise on the Motion of Bodies in Galaxies

In this Treatise, with the help of classical mechanics, the problem of rotation curves without taking into account dark matter is explained and resolved, making it possible to obtain plateau-like curves, like any others, as a self-evident phenomenon in nature.

At the same time, the problem of cusps is automatically resolved by adopting a fundamentally different fundamental principle - the principle of the decenter of mass, associated with the natural distribution of mass over the entire volume of any physical body.

Thus, the principle does not go beyond the framework of classical mechanics and only complements it.

The methods of modeling and finding fairly correct values of mass and gravitational force, built on the basis of the proposed principle, made it possible to find out the true orbital velocities of flat stationary models of galactic disks with different density distributions lying "flat" in relation to the observer, which made it possible to prove the effectiveness of the principle of the decenter of mass.

New additional concepts of indicators of gravitational force and mass were introduced, each of which is given a corresponding classification for ease of use.

The case of a plateau-like rotation curve is demonstrated separately.

The phenomenon of dark matter is explained and the errors of classical methods of calculating the real mass are indicated.

At the end, the substantiation of calculations based on the decenter of mass principle is given as the only way to describe the behavior of the velocity curves of galactic models using ordinary classical mechanics, opposing all currently existing theories about the existence of dark matter, as well as the Lambda CDM model built on this assumption and other currently existing numerous alternatives to it.