Abstract
Three approaches explaining the anomalously high rates of star rotation at the peripheries of the galaxies have been formed by present: 1- To introduce the dark matter, 2- To modify Newton’s dynamics or to modify the gravitation interaction, 3- To supplement the gravitational potential (F ~ 1/R<sup>2</sup>) with another potential (F ~ 1/R<sup>1</sup>), which decreases no so sharply with an increase in distance and becomes more significant for interstellar distances than classical gravitation. The idea of attractive force inversely proportional to the distance was proposed by JE Tohline (1982) and RH Sanders (1984) to explain the movement of starts in galaxies.
Highlights
The idea of the force of attraction between bodies decreasing inversely proportional to the squared distance was developed by E Halley and I Newton at the end of the XVII century
Three more additive fundamental interactions were developed for the description of the properties of motion of the matter at shorter distances: The strong, weak, and electromagnetic
For elliptical galaxies, an anomaly was established experimentally: The rates of star rotation with respect to the galactic centre at the periphery of galaxies are almost constant. This makes a substantial difference from the planetary systems, in which the rates of stable motion of planets decrease with an increase in the distance from the central star
Summary
The idea of the force of attraction between bodies decreasing inversely proportional to the squared distance was developed by E Halley and I Newton at the end of the XVII century This allowed explaining how bodies fall on the earth, how the moon and planets rotate in the Solar system. For elliptical galaxies, an anomaly was established experimentally: The rates of star rotation with respect to the galactic centre at the periphery of galaxies are almost constant This makes a substantial difference from the planetary systems, in which the rates of stable motion of planets decrease with an increase in the distance from the central star. It follows from this fact that the gravitational interaction alone is insufficient to explain the anomalous rates of star rotation at the periphery of elliptical galaxies
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