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Periodic solutions about the ‘out of plane’ equilibrium points in the photogravitational restricted three-body problem

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Abstract

The regions of stability for the ‘out of plane’ equilibrium points of the photogravitational restricted three-body problem are given. Second order expansions of periodic solutions around these points are constructed and the corresponding families are computed. It is found that two such families exist. One of them originates and terminates on the same equilibrium point while the other terminates by flattening on the orbital plane.

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Ragos, O., Zagouras, C. Periodic solutions about the ‘out of plane’ equilibrium points in the photogravitational restricted three-body problem. Celestial Mechanics 44, 135–154 (1988). https://doi.org/10.1007/BF01230711

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  • DOI: https://doi.org/10.1007/BF01230711

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