On the divergence of first-order resonance widths at low eccentricities
On the divergence of first-order resonance widths at low eccentricities
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DOI：
10.1093/mnras/staa1751
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发表时间：
2020-06
影响因子：
4.8
通讯作者：
R. Malhotra;N. Zhang
中科院分区：
文献类型：
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作者：
R. Malhotra;N. Zhang
轨道共振在行星系统动力学中起着重要的作用。在教科书中发现的经典理论分析报告了近圆形轨道的一阶平均运动共振的振动宽度发散。在这里，我们通过对木星质量行星内部的一些一阶共振的非摄动分析来研究这种分歧的性质。我们证明了一阶共振有两个分支，即近中心共振区和次中心共振区。当偏心率接近零时，这些区域的中心偏离名义共振位置，但其宽度缩小。我们还报道了相邻一阶共振之间的“桥梁”的新发现：在低偏心时，一阶共振的外中心振动区与相邻一阶共振的外中心振动区平滑连接。这些桥可能有助于在行星系统中跨越大径向距离的共振迁移，完全在低偏心状态下。
Orbital resonances play an important role in the dynamics of planetary systems. Classical theoretical analyses found in textbooks report that libration widths of first order mean motion resonances diverge for nearly circular orbits. Here we examine the nature of this divergence with a non-perturbative analysis of a few first order resonances interior to a Jupiter-mass planet. We show that a first order resonance has two branches, the pericentric and the apocentric resonance zone. As the eccentricity approaches zero, the centers of these zones diverge away from the nominal resonance location but their widths shrink. We also report a novel finding of "bridges" between adjacent first order resonances: at low eccentricities, the apocentric libration zone of a first order resonance smoothly connects with the pericentric libration zone of the neighboring first order resonance. These bridges may facilitate resonant migration across large radial distances in planetary systems, entirely in the low eccentricity regime.