Numerical Orbital Stability Analysis of Nonresonant Periodic Motions in the Planar Restricted Four-Body Problem

We address the planar restricted four-body problem with a small body of negligible mass moving in Newtonian gravitational field three primary bodies nonnegligible masses. assume that two primaries have equal masses and all move circular orbits forming Lagrangian equilateral triangular configuration. This configuration admits relative equilibria for analogous to libration points three-body problem. consider equilibrium located on perpendicular bisector triangle which case constitute so-called central configurations. Using method normal forms, we analytically obtain families periodic motions emanating from stable nonresonant continue them numerically borders their existence domains. numerical method, investigate orbital stability aforementioned represent conclusions as diagrams problem’s parameter space.