NEW LAW OF UNIVERSAL GRAVITATION WITHOUT CONSTANT G.

For over 300 years, the force of gravitational interaction was represented by a single physical law – Newton's law F = GMm/r^2. Newton's law of gravitation does not provide a complete and accurate value for the gravitational force. It describes the local gravity of two bodies and "does not see" the additional gravitational force that actually exists as a result of the gravitational action of all bodies in the universe. Through the efforts of popularizers who had no understanding of gravity, the law of two-body gravitation, F = GMm/r², was unjustifiably elevated to the status of the law of universal gravitation. Newton did not call his law of gravitation the law of universal gravitation. This misrepresentation led to the myth that the law of universal gravitation had been discovered. This myth played a destructive role. Because of this myth, the task of discovering a real law of universal gravitation explaining the gravity of all bodies in the universe was long neglected. Here we show that in addition to Newton's law F = GMm/r^2, there is a second law of gravitation F = mR^3/(T^2)r^2, which remained undiscovered. This law of gravity does not require the gravitational constant G. The existence of this law was first pointed out by Robert Hooke in 1679. Furthermore, we show that the additional gravitational force of the gravitational action of all bodies in the Universe is described by the third law of gravitation F = (mc²)√Ʌ, which also remained undiscovered.