Abstract
In the three-dimensional restricted three-body problem, the existence of resonant periodic solutions about L4 is shown and expansions for them are constructed for special values of the mass parameter, by means of a perturbation method. These solutions form a second family of periodic orbits bifurcating from the triangular equilibrium point. This bifurcation is the evolution, as µ varies continuously, of a regular vertical bifurcation point on the corresponding family of planar periodic solutions emanating from L4. KeywordsPeriodic SolutionPeriodic OrbitMass ParameterOrbital ParameterOrder ExpansionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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