The linear stability of the post-Newtonian triangular equilibrium in the three-body problem

DOI10.1007/s10569-017-9781-9zbMath1379.70040arXiv1612.08361OpenAlexW2566577865MaRDI QIDQ680987

Takuya Tsuchiya, Kei Yamada

Publication date: 29 January 2018

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08361

zbMATH Keywords

three-body problemlinear stabilitygeneral relativitypost-Newtonian approximationtriangular equilibrium

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Cites Work

• Equations of Motion in General Relativity
• Solar System Dynamics
• The Equilibrium of Slowly Rotating Configurations in the Post-Newtonian Approximation: Corrections to Clairaut's Equation
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