长期混沌对轨道构型的依赖性

长期混沌与行星系统的长期演化密切相关，接近长期共振和系统总角动量亏损是行星系统出现长期混沌的两个主要因素。长期混沌机制有两个非常重要的应用，一是关于太阳系的稳定性问题，长期共振重叠会导致水星偏心率长期增加；二是用于解释热木星的形成。本项目拟开展两个方面的研究工作，一是深入研究行星系统中影响内行星偏心率长期增加的因素，讨论不同轨道构型对长期混沌的影响；二是系统研究长期混沌机制形成热木星的精确条件，首先利用长期混沌机制激发出高偏心率的内行星，然后结合潮汐作用研究热木星形成的几率，并力图从实际观测数据中找到与理论研究结果相匹配的样本。本项目的研究工作不仅可以丰富和完善长期混沌机制，而且还可以有助于我们深入了解热木星的形成和演化，解释天文观测现象，比如产生热木星的几率和伴星等，具有十分重要的意义。

Secular chaos is closely related to the long-term evolution of the planetary system. The proximity of secular resonances and the total angular momentum deficit of the system are the two key factors for the onset of secular chaos. There are two very important applications of the secular chaos mechanism. One is used to solve the problem of the long-term stability of the solar system, the overlap of secular resonances causes Mercury’s eccentricity to be increased. The other is used to explain the formation of hot Jupiter. This project plans to carry out two aspects of research work, one is to deeply study the factors that affect the long-term increase of the eccentricity of the inner planets in the planetary system, and discuss the dependence of secular chaos on the orbital configuration. The other is to systematically study the precise conditions for the formation of hot Jupiter by the secular chaos mechanism. Firstly, the inner planets with high eccentricity are excited by the secular chaos mechanism, and then the probability of hot Jupiter is studied by secular chaos and dynamical tides, and try to find the samples matching the theoretical results from the actual observation data. This project can not only enrich and improve the secular chaos mechanism, but also help us to understand the formation and evolution of hot Jupiter in depth, and explain astronomical observation phenomena, such as the probability of hot Jupiter and its companions, which is of great significance.