论文标题
一个简单的随机步行模型解释了分层，偏心3体系统的破坏过程
A Simple Random-Walk Model Explains the Disruption Process of Hierarchical, Eccentric 3-Body Systems
论文作者
论文摘要
我们研究具有可比质量体的分层三体系统的破坏过程。此类系统的生存时间长，根据初始条件，其数量级有所不同。通过与三体数值积分进行比较，我们表明，这种系统的演变和破坏可以统计地描述为外轨能量中的一个简单的随机行走过程，其中根据初始条件计算出每个焦点通道（步骤大小）的能量交换。在衍生过程中，我们对抛物线遇到的先前分析结果和轨道参数中（Kozai-Lidov）振荡的平均含量的平均值比能量扩散时间尺度更快。 While similar random-walk models were studied before, this work differs in two manners: (a) this is the first time that the Kozai-Lidov averaged step-size is derived from first principles and demonstrated to reproduce the statistical evolution of numerical ensembles without fitting parameters, and (b) it provides a characteristic life-time, instead of answering the binary question (stable/unstable), set by case-specific criteria.
We study the disruption process of hierarchical 3-body systems with bodies of comparable mass. Such systems have long survival times that vary by orders of magnitude depending on the initial conditions. By comparing with 3-body numerical integrations, we show that the evolution and disruption of such systems can be statistically described as a simple random-walk process in the outer-orbit's energy, where the energy-exchange per pericenter passage (step-size) is calculated from the initial conditions. In our derivation of the step-size, we use previous analytic results for parabolic encounters, and average over the (Kozai-Lidov) oscillations in orbital parameters, which are faster then the energy diffusion timescale. While similar random-walk models were studied before, this work differs in two manners: (a) this is the first time that the Kozai-Lidov averaged step-size is derived from first principles and demonstrated to reproduce the statistical evolution of numerical ensembles without fitting parameters, and (b) it provides a characteristic life-time, instead of answering the binary question (stable/unstable), set by case-specific criteria.
