Inclined asymmetric librations in exterior resonances

G. Voyatzis, K. Tsiganis, K. I. Antoniadou

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

Librational motion in Celestial Mechanics is generally associated with the existence of stable resonant configurations and signified by the existence of stable periodic solutions and oscillation of critical (resonant) angles. When such an oscillation takes place around a value different than 0 or π, the libration is called asymmetric. In the context of the planar circular restricted three-body problem, asymmetric librations have been identified for the exterior mean motion resonances (MMRs) 1:2, 1:3, etc., as well as for co-orbital motion (1:1). In exterior MMRs the massless body is the outer one. In this paper, we study asymmetric librations in the three-dimensional space. We employ the computational approach of Markellos (Mon Not R Astron Soc 184:273–281, https://doi.org/10.1093/mnras/184.2. 273, 1978) and compute families of asymmetric periodic orbits and their stability. Stable asymmetric periodic orbits are surrounded in phase space by domains of initial conditions which correspond to stable evolution and librating resonant angles. Our computations were focused on the spatial circular restricted three-body model of the Sun–Neptune–TNO system (TNO = trans-Neptunian object).We compare our results with numerical integrations of observed TNOs, which reveal that some of them perform 1:2 resonant, inclined asymmetric librations. For the stable 1:2 TNO librators, we find that their libration seems to be related to the vertically stable planar asymmetric orbits of our model, rather than the three-dimensional ones found in the present study.

langue originaleAnglais
Numéro d'article29
journalCelestial Mechanics and Dynamical Astronomy
Volume130
Numéro de publication4
Les DOIs
étatPublié - 2018

Empreinte digitale

libration
trans-Neptunian objects
Inclined
Orbits
oscillation
orbits
mechanics
Motion
celestial mechanics
librational motion
Mechanics
Periodic Orbits
oscillations
three body problem
Oscillation
numerical integration
Celestial Mechanics
Restricted Three-body Problem
Angle
Three-dimensional

Citer ceci

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Inclined asymmetric librations in exterior resonances. / Voyatzis, G.; Tsiganis, K.; Antoniadou, K. I.

Dans: Celestial Mechanics and Dynamical Astronomy, Vol 130, Numéro 4, 29, 2018.

Résultats de recherche: Contribution à un journal/une revueArticle

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AU - Voyatzis, G.

AU - Tsiganis, K.

AU - Antoniadou, K. I.

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