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TWO METHODS OF CALCULATING GRAVITATIONAL FORCE WHICH LEAD TO A NEW LAW OF GRAVITATION

18 April 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

For over 300 years, the force of gravitational interaction has been represented by only one physical law: Newton's law of gravity F = GMm/r^2. Here we show that Newton's law of gravity is not the only law of gravitational interaction. There is one more undiscovered law of two-body gravity in physics. The new law of gravity is: F = mR^3/T^2r^2. This is the second law of gravity. It does not exist in Newtonian dynamics. This law of gravity does not include the gravitational constant G. It does not include the central mass M. The new law of gravity includes the characteristics of the elliptical orbit in the form of the Kepler constant R^3/T^2 as parameters. Here we reveal a method for obtaining a new law of gravity. The same method allows one to obtain a new law of gravity for N bodies.

Keywords

Newton's law
N-body problem
parameters of the observable universe
dark matter
galaxy rotation curve
cosmological constant Ʌ

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