### Résumé

langue originale | Anglais |
---|---|

Numéro d'article | 59 |

Nombre de pages | 18 |

journal | Celestial Mechanics and Dynamical Astronomy |

Volume | 130 |

Numéro de publication | 9 |

Les DOIs | |

état | Publié - 1 sept. 2018 |

### Empreinte digitale

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*Celestial Mechanics and Dynamical Astronomy*, VOL. 130, Numéro 9, 59. https://doi.org/10.1007/s10569-018-9856-2

**On quasi-satellite periodic motion in asteroid and planetary dynamics.** / Voyatzis, George; Antoniadou, Kyriaki I.

Résultats de recherche: Contribution à un journal/une revue › Article

TY - JOUR

T1 - On quasi-satellite periodic motion in asteroid and planetary dynamics

AU - Voyatzis, George

AU - Antoniadou, Kyriaki I.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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 restrictedmodel. 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.

AB - 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 restrictedmodel. 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.

KW - 1:1 Resonance

KW - Co-orbital motion

KW - Periodic orbits

KW - Quasi-satellites

KW - Three-body problem

UR - http://www.scopus.com/inward/record.url?scp=85053179653&partnerID=8YFLogxK

U2 - 10.1007/s10569-018-9856-2

DO - 10.1007/s10569-018-9856-2

M3 - Article

VL - 130

JO - Celest. Mech & Dyn. Astron.

JF - Celest. Mech & Dyn. Astron.

SN - 0923-2958

IS - 9

M1 - 59

ER -