Abstract
Vertically critical, planar periodic solutions around the triangular equilibrium points of the Restricted Three-Body Problem are found to exist for values of the mass parameter in the interval [0.03, 0.5]. Four series of such solutions are computed. The families of three-dimensional periodic solutions that branch off these critical orbits are computed for µ = 0.3 and are continued till their end. All orbits of these families are unstable.
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Perdios, E., Zagouras, C.G. & Ragos, O. Three-dimensional bifurcations of periodic solutions around the triangular equilibrium points of the restricted three-body problem. Celestial Mech Dyn Astr 51, 349–362 (1991). https://doi.org/10.1007/BF00052927
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DOI: https://doi.org/10.1007/BF00052927