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

Understand

Continuing work initiated in an earlier publication [Yamada, Tsuchiya, and Asada, Phys.

• Rev.
• D 91, 124016 (2015)], we reexamine the linear stability of the triangular solution in the relativistic three-body problem for general masses by the standard linear algebraic analysis.
• In this paper, we start with the Einstein-Infeld-Hoffman form of equations of motion for $N$-body systems in the uniformly rotating frame.