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INVERSE N-BODY PROBLEM - THE KEY TO SOLVING GRAVITY PROBLEMS

07 May 2025, Version 3
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

Despite the fact that the law of gravitation was discovered more than 300 years ago, gravity remains the most mysterious physical phenomenon in physics and cosmology. For a long time, the force of gravitational interaction was represented by only one physical law: Newton's law of gravitation F = GMm/r^2. Newton's law of gravitation is not enough to fully describe gravity. Newton's law shows the force of gravitational interaction of two bodies out of all N bodies in the Universe. The formula of Newton's law describes gravity only to one local source of attraction and does not take into account that bodies simultaneously gravitate to all other bodies in the Universe. In gravity, at least three more laws of gravity have not been discovered. The secrets of gravity are revealed by the inverse N-body problem. We show that the laws of gravity are a solution to the inverse N-body problem. The solution of the inverse N-body problem for N = 2 yields two laws of gravity: Newton's law F = GMm/r^2 and a new law of gravity F = mR^3/T^2r^2. We also show that the solution of the inverse N-body problem for N → ∞ yields the third and fourth laws of gravity: F = (mc^2)√Ʌ, F = mGmе/αrе^2. In gravity, at least three laws of gravity remained undiscovered.

Keywords

Newton's law
N-body problem
law of universal gravitation
задачи Бертрана
parameters of the observable universe
galaxy rotation curve
cosmological constant Ʌ.

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