巨蟹座55星系3：1平均运动共振的形成和转变
Formation and transformation of the 3:1 mean-motion resonance in 55 Cancri System
摘要：
本文报道了巨蟹座55星系中b、c行星3：1平均运动共振俘获的数值模拟。结果表明，这种共振可以通过差分行星迁移来实现。适当的初始偏心率、相对较慢的迁移速度和适当的偏心阻尼率可显著增加陷入共振的概率。否则，系统越过3：1可伸缩性，避免共振捕获，最终被捕获到2：1共振或一些其他高阶共振中。在共振捕获之后，如果迁移继续，则系统可以从一个轨道配置跳到另一个轨道配置，使得配置空间的大区域可用于共振系统。这些研究有助于我们理解太阳系外行星系统共振构型的多样性，并对太阳系外行星系统轨道的早期动力学演化提出了一些约束。
英文摘要：
We report in this paper the numerical simulations of the capture into the 3:1 mean-motion resonance between the planet b and c in the 55 Cancri system. The results show that this resonance can be obtained by a differential planetary migration. The moderate initial eccentricities, relatively slower migration and suitable eccentricity damping rate increase significantly the probability of being trapped in this resonance. Otherwise, the system crosses the 3:1 commensurability avoiding resonance capture, to be eventually captured into a 2:1 resonance or some other higher-order resonances. After the resonance capture, the system could jump from one orbital configuration to another one if the migration continues, making a large region of the configuration space accessible for a resonance system. These investigations help us understand the diversity of resonance configurations and put some constrains on the early dynamical evolution of orbits in the extra-solar planetary systems.
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