Non-resonant secular dynamics of trans-Neptunian objects perturbed by a distant super-Earth

Melaine Saillenfest, Marc Fouchard, Giacomo Tommei, Giovanni B. Valsecchi
(Submitted on 5 Jul 2017)

We use a secular model to describe the non-resonant dynamics of trans-Neptunian objects in the presence of an external ten-earth-mass perturber. The secular dynamics is analogous to an “eccentric Kozai mechanism” but with both an inner component (the four giant planets) and an outer one (the eccentric distant perturber). By the means of Poincar\’e sections, the cases of a non-inclined or inclined outer planet are successively studied, making the connection with previous works. In the inclined case, the problem is reduced to two degrees of freedom by assuming a non-precessing argument of perihelion for the perturbing body.

The size of the perturbation is typically ruled by the semi-major axis of the small body: we show that the classic integrable picture is still valid below about 70 AU, but it is progressively destroyed when we get closer to the external perturber. In particular, for a>150 AU, large-amplitude orbital flips become possible, and for a>200 AU, the Kozai libration islands are totally submerged by the chaotic sea. Numerous resonance relations are highlighted. The most large and persistent ones are associated to apsidal alignments or anti-alignments with the orbit of the distant perturber.

Comments:    34 pages, 16 figures
Subjects:    Earth and Planetary Astrophysics (astro-ph.EP)
DOI:    10.1007/s10569-017-9775-7
Cite as:    arXiv:1707.01379 [astro-ph.EP] (or arXiv:1707.01379v1 [astro-ph.EP] for this version)
Submission history
From: Melaine Saillenfest
[v1] Wed, 5 Jul 2017 13:13:02 GMT (13626kb,D)
https://arxiv.org/abs/1707.01379