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• W3103670970 abstract "Applying the method of analytical continuation of periodic orbits, we study quasi-satellite motion in the framework of the three-body problem. In the simplest, yet not trivial model, namely the planar circular restricted problem, it is known that quasi-satellite motion is associated with a family of periodic solutions, called family f, which consists of 1:1 resonant retrograde orbits. In our study, we determine the critical orbits of family f that are continued both in the elliptic and in the spatial models and compute the corresponding families that are generated and consist the backbone of the quasi-satellite regime in the restricted model. Then, we show the continuation of these families in the general three-body problem, we verify and explain previous computations and show the existence of a new family of spatial orbits. The linear stability of periodic orbits is also studied. Stable periodic orbits unravel regimes of regular motion in phase space where 1:1 resonant angles librate. Such regimes, which exist even for high eccentricities and inclinations, may consist dynamical regions where long-lived asteroids or co-orbital exoplanets can be found." @default.
• W3103670970 created "2020-11-23" @default.
• W3103670970 creator A5048813221 @default.
• W3103670970 creator A5050369783 @default.
• W3103670970 date "2018-09-01" @default.
• W3103670970 modified "2023-10-02" @default.
• W3103670970 title "On quasi-satellite periodic motion in asteroid and planetary dynamics" @default.
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• W3103670970 doi "https://doi.org/10.1007/s10569-018-9856-2" @default.
• W3103670970 hasPublicationYear "2018" @default.
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