2023/09/04 by Mark Frenkel, Frenkel, Mark, Shraga Shoval +3
Physics and Astronomy · #Astro and Planetary Science #Classical Physics (physics.class-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2309.03786
openalex publication_date 2023/09/04 · openalex created_date 2023/09/09 · openalex updated_date 2026/07/28
The time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential U(r)~1/r is reported. Gravitational and electrostatic interactions between the point bodies were addressed. In the case of the pure gravitational interaction the three-body-system deviated from its initial symmetrical location, described by the Lagrange equilateral triangle, comes to collapse, accompanied by the growth of the continuous measure of symmetry. When three point bodies interact via the Coulomb repulsive interaction, the time evolution of CMS is quite different. CMS calculated for all of studied initial configurations of the point charges and all of their charge-to-mass ratios always comes with time to its asymptotic value, evidencing the stabilization of the shape of the triangle, constituted by the interacting bodies.