论文标题
关于一阶共振宽度在低偏心率的差异
On the Divergence of First Order Resonance Widths at Low Eccentricities
论文作者
论文摘要
轨道共振在行星系统的动力学中起着重要作用。教科书中发现的经典理论分析报告说，一阶均值运动的库宽度在几乎圆形轨道上有所不同。在这里，我们通过对木星质量行星内部几个一阶共振的非扰动分析来检查这种差异的性质。我们表明，一阶共振有两个分支，即中心和中心共振区。当偏心率接近零时，这些区域的中心与名义共振位置不同，但其宽度缩小。我们还报告了相邻一阶共振之间的“桥梁”的新发现：在低偏心率下，一阶共振的启示式库区域与相邻一阶共振的围端库平稳连接。这些桥梁可能会促进在行星系统中的大径向距离上的共振迁移，这完全是在低偏心率方面的。
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.
