Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations
Analytic approximations of the second order with respect to a small orbital parameter are given for coplanar periodic motions of three finite mass points in the neighbourhood of their collinear equilibrium configurations. The expressions obtained are tested for accuracy against the `exact' motions determined by numerical integration of the general three-body problem. Limiting cases of mass ratios of the three bodies are treated separately using `restricted' versions of the three-body problem.
scientific article; zbMATH DE number 4085097
scientific article