Secular resonances between bodies on close orbits: a case study of the Himalia prograde group of jovian irregular satellites
Secular resonances between bodies on close orbits: a case study of the Himalia prograde group of jovian irregular satellites
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近轨道物体之间的长期共振：木星不规则卫星喜马利亚顺行群的案例研究
DOI：
10.1007/s10569-016-9676-1
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发表时间：
2016
影响因子：
1.6
通讯作者：
A. Christou
中科院分区：
文献类型：
--
作者：
Daohai Li;A. Christou
在相似轨道上的两个物体之间的引力相互作用可以在轨道演化中产生明显的变化，即使它们的质量与中心物体的质量之比微乎其微。Christou （Icarus 174:215-229, 2005）在当时的天体模拟中观察到木星的Himalia不规则卫星群的两个成员之间的差异节点中偶尔存在共振锁（相应的质量比）。使用半解析方法，我们重现了这一现象。我们还证明了两种额外类型的共振的存在，涉及两个组成员之间的角度差异。这些共振在时间尺度上引起离心率和/或倾斜度的长期振荡。我们在（a,e,i）空间中定位这些共振并分析它们的拓扑结构。在随后的n体模拟中，我们证实了这三个共振，并发现了第四个涉及。此外，我们从统计的角度研究了这四种共振的发生率和稳定性，通过对1000个测试粒子进行100 Myr的积分。我们为每个共振找到10到30个振荡器。特别是，Christou发现的节点共振是最稳定的：观察到2个粒子在整个积分过程中保持振动状态。
The gravitational interaction between two objects on similar orbits can effect noticeable changes in the orbital evolution even if the ratio of their masses to that of the central body is vanishingly small. Christou (Icarus 174:215–229, 2005) observed an occasional resonant lock in the differential nodebetween two members in the Himalia irregular satellite group of Jupiter in theN-body simulations (corresponding mass ratio). Using a semianalytical approach, we have reproduced this phenomenon. We also demonstrate the existence of two additional types of resonance, involving angle differencesandbetween two group members. These resonances cause secular oscillations in eccentricity and/or inclination on timescales1 Myr. We locate these resonances in (a,e,i) space and analyse their topological structure. In subsequentN-body simulations, we confirm these three resonances and find a fourth one involving. In addition, we study the occurrence rates and the stability of the four resonances from a statistical perspective by integrating 1000 test particles for 100 Myr. We find10 to 30 librators for each of the resonances. Particularly, the nodal resonance found by Christou is the most stable: 2 particles are observed to stay in libration for the entire integration.