Study and application of the resonant secular dynamics beyond Neptune |
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| Authors: | Melaine Saillenfest Marc Fouchard Giacomo Tommei Giovanni B Valsecchi |
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| Institution: | 1.IMCCE,Observatoire de Paris,Paris,France;2.Dipartimento di Matematica,Università di Pisa,Pisa,Italy;3.LAL-IMCCE,Université de Lille,Lille,France;4.IAPS-INAF,Rome,Italy;5.IFAC-CNR,Sesto Fiorentino,Italy |
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| Abstract: | We use a secular representation to describe the long-term dynamics of transneptunian objects in mean-motion resonance with Neptune. The model applied is thoroughly described in Saillenfest et al. (Celest Mech Dyn Astron, doi: 10.1007/s10569-016-9700-5, 2016). The parameter space is systematically explored, showing that the secular trajectories depend little on the resonance order. High-amplitude oscillations of the perihelion distance are reported and localised in the space of the orbital parameters. In particular, we show that a large perihelion distance is not a sufficient criterion to declare that an object is detached from the planets. Such a mechanism, though, is found unable to explain the orbits of Sedna or \(2012\text {VP}_{113}\), which are insufficiently inclined (considering their high perihelion distance) to be possibly driven by such a resonant dynamics. The secular representation highlights the existence of a high-perihelion accumulation zone due to resonances of type 1:k with Neptune. That region is found to be located roughly at \(a\in 100;300]\) AU, \(q\in 50;70]\) AU and \(I\in 30;50]^{\circ }\). In addition to the flux of objects directly coming from the Scattered Disc, numerical simulations show that the Oort Cloud is also a substantial source for such objects. Naturally, as that mechanism relies on fragile captures in high-order resonances, our conclusions break down in the case of a significant external perturber. The detection of such a reservoir could thus be an observational constraint to probe the external Solar System. |
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