Equations of motion for bodies of the same mass uniformly distributed over a circle with regard for the speed of gravity

DOI10.1007/s10958-023-06836-wOpenAlexW4389940730MaRDI QIDQ6150331

V. Yu. Slyusarchuk

Publication date: 6 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06836-w

zbMATH Keywords

solution uniquenessNewton second lawcyclic rotation groupdelayed equation systemgeneralized gravitation law

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) (n)-body problems (70F10)

Cites Work

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• Dynamics of two bodies with trajectories on a fixed straight line with regard for the finite speed of gravity
• Oscillations of the Earth surface caused by its rotation, motion around the Sun, and a finite speed of gravity

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