Three-Body Binary Formation in Clusters: Analytical Theory
arxiv(2024)
摘要
Binary formation in clusters through triple encounters between three unbound
stars, 'three-body' binary formation, is one of the main dynamical formation
processes of binary systems in dense environments. In this paper, we use an
analytical probabilistic approach to study the process for the equal mass case
and calculate a probability distribution for the orbital parameters of
three-body-formed binaries, as well as their formation rate. For the first
time, we give closed-form analytical expressions to the full orbital parameter
distribution, accounting for both energy and angular momentum conservation.
This calculation relies on the sensitive dependence of the outcomes of
three-body scatterings on the initial conditions: here we compute the rate of
three-body binaries from ergodic interactions, which allow for an analytical
derivation of the distribution of orbital parameters of the binaries thus
created. We find that soft binaries are highly favoured in this process and
that these binaries have a super-thermal eccentricity distribution, while the
few hard three-body binaries have an eccentricity distribution much closer to
thermal. The analytical results predict and reproduce simulation results of
three-body scattering experiments in the literature well.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要