HOOKE-KEPLER LAW OF GRAVITATION: the rejected law of gravitation, which turned out to be more accurate and perfect than Newton's law.

The role of Robert Hooke in the discovery of the law of universal gravitation is shown in a new light. New circumstances are revealed that relate to the priority dispute between Hooke and Newton. It is shown that Newton's law of gravitation is not the only law of gravitational interaction. There is another law of gravitation that was outside Newton's field of vision. The existence of this law was indicated by Robert Hooke in his correspondence with Newton. Robert Hooke pointed out that the law of gravitation should take into account the elliptical orbits of the planets and the inverse square law. In 1687, Newton presented the law of gravitation, which includes the inverse square law. But the parameters of the elliptical orbit were not included in Newton's law. Instead of the orbital parameters, Newton introduced mass into his law. As a result, a more perfect law of gravitation than Newton's law was not discovered. Here we present this law of gravitation. It has a beautiful and mathematically perfect form: FH-K = mR³/ (T*r) ². I call this physical law the Hooke-Kepler law of gravitation. It includes the Kepler constant. It includes the inverse square law. It does not include the central mass. This is a more accurate and perfect law of gravitation than Newton's law, since distances and periods are known from observations with greater accuracy than mass. Thus, Hooke's path to the law of gravitation was more promising than Newton's.