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Article
N-Body Problem Extension Hypothesis
Author(s)
Karol Dobrovodský
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DOI:10.17265/2159-5348/2023.01.003
Affiliation(s)
Institute of Informatics, Slovak Academy of Sciences, Dúbravská cesta 9, Bratislava 842 37, Slovakia
ABSTRACT
A system of mutually interacting point-mass objects is considered. All objects act on each other with mutual forces. A consistent relativity of motion based on the elimination of the observer is introduced. The center of inertia of the entire system is a common reference point. Central and mutual quantities are defined and the relationship between them is derived. A simple method of numerical approximation of the evolution of the central motion is presented. The scale invariance of the classical n-body problem is used to challenge the physical correctness of the problem formulation. Subsequently, a hypothesis is expressed about the extension of Coulomb’s law as well as Newton’s law of gravity. The consequences of the hypothesis are illustrated by the simulation of the helium-2 atom and the simulation of the motion of the stars S2, S4716 in the vicinity of the black hole in the core of our galaxy.
KEYWORDS
Barycenter, partial and resultant mutual forces, central and mutual inertia.
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