Newton's law of universal gravitation was discovered by him, perhaps in 1679, and published in 1687 in his paper “Principia”. At the beginning,
he simply established a correspondence between the gravitational force F and the masses m_{1} and m_{2} of 2 point objects located at a distance
r between them: F ~ m_{1}m_{2}/r^{2}. However, this dependence is not a strict physical law, since the numerical value of the gravitational force found
from it is not its real value. Therefore, instead of similarity, a transition coefficient should be introduced. It was first determined experimentally by
Cavendish in 1798. Further, this coefficient was presented as the gravitational constant G. However, Cavendish did not connect *G* with Newton's
dependence, but used it only to calculate the Earth's mass M within the framework of the *GM* combination. The constant G from this combination
was identified by Jolly in 1878, which reduced Newton's original dependence to the real law of universal gravitation F=Gm_{1}m_{2}/r^{2}, which is currently
used. However, Newton got his dependence on the basis of the rotation of the Moon around the Earth, whose orbit is close to circular. Therefore,
the radius r in it was taken constant. This law is being criticized because it does not operate at the planetary level, where the planets of the solar
system do not move in a circular orbit, but, elliptical, within the framework of Kepler's laws. Eliminating the discrepancy between Newton's law of
universal gravitation and Kepler's laws is the goal main of this work, and the formulation of a new corrected law is its scientific novelty. As a result
of this work, it was proposed to replace the radius r with the current value r_{i} in Newton's law, which can change according to its own laws. In this
case, the new value of the law of universal gravitation has the form: F=Gm_{1}m_{2}/r_{i}^{2}. Unlike the original Newton's law, in which the radius r=const, in
the corrected law r_{i}=var, so the original law is a special case of the corrected law. In this case, the value of the radius r_{i}^{2} can be obtained through
the coordinate’s x_{}_{i}^{2}, y_{i}^{2} of the current points of the trajectory of the center of mass m_{2} of an object of smaller magnitude relative to the center of
mass m_{1} of an object of larger magnitude. For an object with a spatial form of the trajectory of the center of mass, the 3^{rd} coordinate z_{i}^{2} is added
to determine this radius. In its final form, the new law of universal gravitation will be expressed by the dependence: *F=Gm _{1}m_{2}/(x_{i}^{2}+y_{i}^{2}+z_{i}^{2})*. Thus,
despite the criticism of Newton's law by opponents, he is acted, acts and will act in the material world. Conclusion, the Proposed revised law of
universal gravitation are recommended for use in scientific research. This corrected version should be included in all textbooks and reference
books on physics, incl. in the encyclopaedia.

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