The next difficulty of the law of universal gravitation is the presence of so-called gravitational anomalies on Earth, which cannot be explained in any way by the law of universal gravitation and the General theory of relativity. These anomalies are manifested in the fact that on a certain area suddenly there are sources of increased gravity, which are attracted to plumb lines and other bodies. Sometimes these sources of increased gravity are located above the dominant position of the heights of a certain area, for example in the mountains, then the water begins to flow up, the bicycles also go uphill themselves, you do not need to pedal. On the Internet, there is an extensive literature on gravitational anomalies. However, what it is and why – no scientist even offered a theory. Gravitational anomalies are widely represented around The Globe, gravitating to mountainous terrain. Foreign scientists sometimes study these sources of increased gravity, but on their own initiative, they do not give grants for the study of gravitational anomalies. Russian scientists do not seem to know about these anomalies at all, they are not interested in them. You can, of course, "hide your head in the sand" and pretend that no gravitational anomalies exist, although the Russian Academy of Sciences has an Institute of geography, which should at least identify these anomalies and monitor their appearance and disappearance. Gravity anomalies are dangerous for humans. We will explain the occurrence of these anomalies after explaining the new paradigm of gravity. Here we note that the source of gravity is not substance, but something else that can appear above the prevailing heights.
The next difficulty of the law of global gravity is the undulation of the orbits of planets and satellites, which the law of global gravity and the General theory of relativity cannot explain in any way. This undulation of the orbits is crucial. Kepler smoothed out T. Brahe's data on the positions of the Earth, and if Newton had coordinates of real points of the Earth, he would have seen a strange, wavy line, and would not have found his law. The undulating orbits of planets and satellites can only be explained by the fact that a larger gravitational body attracts or repels a smaller gravitational body. That is, we are already drawing the reader's attention to anti-gravity for the second time, as in the case of explaining the implementation mechanism of the ruleTitius-Bode.