Saturn Retrojans: How does Jupiter Kill Retrograde Co-orbitals Once Again?. (arXiv:1901.10953v1 [astro-ph.EP])
<a href="http://arxiv.org/find/astro-ph/1/au:+Huang_Y/0/1/0/all/0/1">Yukun Huang</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Li_M/0/1/0/all/0/1">Miao Li</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Li_J/0/1/0/all/0/1">Junfeng Li</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Gong_S/0/1/0/all/0/1">Shengping Gong</a>

We find an interesting fact that fictitious retrograde co-orbital bodies of
Saturn, which we call Retrojans throughout this work, are highly unstable in
our numerical simulations. It is shown that in the presence of Jupiter, these
Retrojans will get ejected from Saturn’s co-orbital space within a timescale of
1 Myr. This scenario reminds us of the instability of Saturn Trojans caused by
Great Inequality and secular resonances. Therefore, we carry out in-depth
inspections on both mechanisms and prove that the resonance overlap cannot
serve as an explanation for the instability, due to the weakness of the
retrograde 2:5 resonance with Jupiter at the low eccentricity. In the end, we
find both $nu_5$ and $nu_6$ secular resonances contribute to the slow growth
of the eccentricity and well explain the void inside Saturn’s retrograde
co-orbital space.

We find an interesting fact that fictitious retrograde co-orbital bodies of
Saturn, which we call Retrojans throughout this work, are highly unstable in
our numerical simulations. It is shown that in the presence of Jupiter, these
Retrojans will get ejected from Saturn’s co-orbital space within a timescale of
1 Myr. This scenario reminds us of the instability of Saturn Trojans caused by
Great Inequality and secular resonances. Therefore, we carry out in-depth
inspections on both mechanisms and prove that the resonance overlap cannot
serve as an explanation for the instability, due to the weakness of the
retrograde 2:5 resonance with Jupiter at the low eccentricity. In the end, we
find both $nu_5$ and $nu_6$ secular resonances contribute to the slow growth
of the eccentricity and well explain the void inside Saturn’s retrograde
co-orbital space.

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