A study of the high-inclination population in the Kuiper belt – IV. High-order mean-motion resonances in the classical region
A study of the high-inclination population in the Kuiper belt – IV. High-order mean-motion resonances in the classical region
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DOI：
10.1093/mnras/stad1751
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发表时间：
2023-06
影响因子：
4.8
通讯作者：
Jian Li;S. Lawler;Hanlun Lei
中科院分区：
文献类型：
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作者：
Jian Li;S. Lawler;Hanlun Lei
在我们之前对海王星的4:7平均运动共振（MMR）的研究中，我们发现它的共振角只能在一个特定的偏心率(e)与倾角(i)区域内振动，这是由理论极限曲线决定的。这个“允许区域”与时间无关，并且包含了整个可能的稳定区域。我们现在推广这一理论来研究嵌入在主经典柯伊伯带（MCKB）中的所有高阶mmr。我们首先在行星迁移和共振捕获的框架下考虑二阶3:5 MMR，并进一步验证了捕获和观测到的3:5谐振子的极限曲线理论。这表明，在研究高阶谐振腔原位演化时，只应选择在个别允许区域内的（e, i）对作为初始条件。这样一个新环境中,我们继续探索长期稳定(4 Gyr)不同的共振的数量,和我们的模拟预测,(1)3:5 4:7谐振器在数量上具有可比性,他们可能会倾向40°,(2)高阶五9中对象的数量,6:11,7:12,和13共振3:5(或提前)谐振器的1/10的人口,和几乎所有的发现在倾斜轨道越少我< 10°,(3)对于这些高阶共振，几乎所有谐振子都位于它们各自的允许区域。总之，我们的结果预测了未来在整个MCKB中发现的潜在共振物体的数量和轨道分布。
In our previous study of Neptune’s 4:7 mean-motion resonance (MMR), we discovered that its resonant angle can only librate within a specific eccentricity (e) versus inclination (i) region, determined by a theoretical limiting curve. This ‘permissible region’ is independent of time and encompasses the entire possible stable region. We now generalize this theory to investigate all high-order MMRs embedded in the main classical Kuiper belt (MCKB). We first consider the second-order 3:5 MMR in the framework of planet migration and resonance capture, and have further validated our limiting curve theory for both captured and observed 3:5 resonators. It suggests that only the (e, i) pairs inside the individual permissible regions should be chosen as initial conditions for studying the in situ evolution of high-order resonators. With such a new setting, we proceed to explore the long-term stability (for 4 Gyr) of different resonant populations, and our simulations predict that (1) the 3:5 and 4:7 resonators are comparable in number, and they could have inclinations up to 40°, (2) the populations of objects in the higher order 5:9, 6:11, 7:12, and 7:13 resonances are about 1/10 of the 3:5 (or 4:7) resonator population, and nearly all of them are found on the less inclined orbits with i < 10°, and (3) for these high-order resonances, almost all resonators reside in their individual permissible regions. In summary, our results make predictions for the number and orbital distributions of potential resonant objects that will be discovered in the future throughout the MCKB.