Rotation Curves of Galaxies: A New Theoretical Approach and Comparison With Observations

Observational results on the rotation curve of a rotating galaxy are used in thought experiments. A binary system is inserted in the galaxy, and equations for radial accelerations of the two bodies are found. Similarly, a single body is inserted in a multicomponent galaxy, and an equation for radial acceleration of the body is discussed. The equations cannot be interpreted as a simultaneous action of the baryonic matter and the dark matter. The consequences of the thought experiments are confirmed by the newest observational results. Applications for various gravitational systems are presented.