LAW OF UNIVERSAL GRAVITATION WITHOUT GRAVITATIONAL 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. 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. It does not include the gravitational constant G. The existence of this law was first pointed out by Robert Hooke in 1679. 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 = (mc^2)√Ʌ, which also remained undiscovered. Combining the two new laws of gravitation into a single equation yields the law of universal gravitation FU = mR^3/(T^2)r^2+(mc^2)√Ʌ. This is a new gravitational equation. It is completely different from Newton's law. The new law of universal gravitation takes into account the accelerated expansion of the universe and Kepler's laws of planetary motion. It expresses the total force of universal gravitation, which is represented by both the local gravitational force of two bodies and the gravitational force of all N bodies in the universe.