Translation of the Extended Law of Universal Gravitation

The gravitational force between two objects is also inversely proportional to the product of their respective radiation radii. The radiation radius of any object: R=c/ω, where R is the radiation radius of the object, c is the speed of light, and ω is the angular velocity of the object's rotation. The law of universal gravitation (F=GMm/R ^ 2) incorporates the radiation radius and expands the law of universal gravitation, F=G1Mmω1ω2/c^2R^2, Among them, ω 1 and ω 2 are the angular velocities of two objects rotating, and R is the distance between two objects. Comparing the law of universal gravitation with the extended law of universal gravitation, it can be concluded that G1=Gc ^ 2/ω ^ 2. When Cavendish measured the gravitational constant, he unconsciously multiplied it by the square of the speed of light and divided it by the square of the Earth's rotational angular velocity. Obtain the value of the gravitational constant G. For the gravitational force between two objects on Earth, their rotational angular velocities are the same as the Earth's rotational angular velocity. The law of universal gravitation can be directly applied: F=GMm/R ^ 2. For microscopic particles, their rotational angular velocities are definitely not equal to the Earth's rotational angular velocity, and the extension of universal gravitation must be applied: F=G1Mm ω 1 ω 2/c ^ 2R ^ 2. The expanded law of universal gravitation applies to both macroscopic and microscopic phenomena.