Dynamics of two bodies with trajectories on a fixed straight line with regard for the finite speed of gravity

DOI10.1007/S10958-023-06351-YOpenAlexW4360869596MaRDI QIDQ2694849

V. Yu. Slyusarchuk

Publication date: 4 April 2023

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06351-y

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX) Dynamics of a system of particles, including celestial mechanics (70Fxx)

Related Items (2)

Oscillations of the Earth surface caused by its rotation, motion around the Sun, and a finite speed of gravity ⋮ Equations of motion for bodies of the same mass uniformly distributed over a circle with regard for the speed of gravity

Cites Work

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• Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter group of rotations
• Dynamics of three bodies located on a straight line for a finite speed of gravity
• Equations in Hilbert spaces whose sets of solutions are invariant under a group isomorphic to a one-parameter group of unitary operators
• Mathematical model of the solar system with regard for the velocity of gravitation
• Non-Keplerian behavior and instability of motion of two bodies caused by the finite velocity of gravitation
• Investigation of systems of differential equations with delays and constraints imposed on the derivatives of solutions

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