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arXiv 1405.3249astro-ph.EP
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接近与海王星2:5和1:3平均运动共振的分离海王星外天体的动力学形成

Dynamical formation of detached trans-Neptunian objects close to the 2:5 and 1:3 mean motion resonances with Neptune

P. I. O. Brasil, R. S. Gomes, J. S. Soares

摘要:

通过对MMR内部的Kozai共振的半解析方法,我们展示了相图(e,ω),该相图表明散射粒子在被海王星捕获到MMR中后成为分离物体的可能性。我们对数千个被四大行星扰动的粒子进行了几次数值积分,有海王星残留迁移的情况,也有没有海王星残留迁移的情况。这些都是为了检查半分析方法,并更好地了解产生分离的对象接近MMR的动力学机制。数值模拟与海王星应力的一个特定的共振模式,我们称之为冬眠模式,在形成接近MMRs的分离的天体的重要性的残余迁移。当考虑海王星的剩余迁移时,我们能够显示分离轨道的形成。这些对象被格式化,不能再次被困在MMR中。我们发现,对于接近2:5共振的天体,具有中等近日点距离(35 < q < 40 au)的天体数量与具有高近日点距离(q > 40 au)的天体数量之比为3.0/1,而对于接近1:3共振的天体,其比值为1.7/1。我们估计这两个星系的总质量在冥王星质量的0.1到0.3之间。

英文摘要:

Through a semi-analytic approach of the Kozai resonance inside an MMR, we show phase diagrams (e,ω) that suggest the possibility of a scattered particle, after being captured in an MMR with Neptune, to become a detached object. We ran several numerical integrations with thousands of particles perturbed by the four major planets, and there are cases with and without Neptune's residual migration. These were developed to check the semi-analytic approach and to better understand the dynamical mechanisms that produce the detached objects close to an MMR. The numerical simulations with and without a residual migration for Neptune stress the importance of a particular resonance mode, which we name the hibernating mode, on the formation of fossilized detached objects close to MMRs. When considering Neptune's residual migration we are able to show the formation of detached orbits. These objects are fossilized and cannot be trapped in the MMRs again. We find a ratio of the number of fossilized objects with moderate perihelion distance (35 < q < 40 au) to the number of objects with high perihelion distance (q > 40 au) as 3.0/1 for objects close to the 2:5, and 1.7/1 for objects close to the 1:3 resonance. We estimate that the two fossilized population have a total mass between 0.1 and 0.3 Pluto's mass.

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