On quasi-satellite periodic motion in asteroid and planetary dynamics

George Voyatzis, Kyriaki I. Antoniadou

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

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.
langue originaleAnglais
Numéro d'article59
Nombre de pages18
journalCelestial Mechanics and Dynamical Astronomy
Volume130
Numéro de publication9
Les DOIs
étatPublié - 1 sept. 2018

Empreinte digitale

Asteroids
Periodic Motion
asteroids
asteroid
Orbits
Satellites
orbits
three body problem
Periodic Orbits
Three-body Problem
Orbit
Continuation
retrograde orbits
Motion
extrasolar planets
Exoplanets
eccentricity
Eccentricity
Spatial Model
Inclination

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

Dans: Celestial Mechanics and Dynamical Astronomy, Vol 130, Numéro 9, 59, 01.09.2018.

Résultats de recherche: Contribution à un journal/une revueArticle

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

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