Perturbation of relativistic effect in the dynamics of test particle

DOI10.1016/j.jmaa.2023.127067OpenAlexW4318563489MaRDI QIDQ2695981

Alla Rachinskaya, Elbaz I. Abouelmagd, Sergey V. Ershkov

Publication date: 5 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127067

zbMATH Keywords

two-body problemsemi-analytical solutionescape velocityscattering angleextended Kepler solutionperturbed force

Mathematics Subject Classification ID

Two-body problems (70F05) Special relativity (83A05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability in the full two-body problem
• Singularity in the relativistic celestial dynamics
• Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect
• Mathematical algorithm for solving two-body problem
• Analytical Study of Periodic Solutions on Perturbed Equatorial Two-Body Problem
• Periodic Orbits of the Planar Anisotropic Kepler Problem
• Relativistic Celestial Mechanics of the Solar System
• A noncanonical analytic solution to theJ 2 perturbed two-body problem
• The Three-Body Problem
• A second fundamental model for resonance
• A note on resonance in regular variables and averaging
• Colombo's top
• Solar System Dynamics
• Periodic orbits of the planar anisotropic generalized Kepler problem
• Dynamics of a stochastically perturbed two-body problem
• Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body