具有潜在逃逸者的星团近似解析模型
An Approximate Analytic Model of a Star Cluster with Potential Escapers
摘要：
在圆形星系轨道上运行的星团中，“潜在逃逸者”是指轨道能量大于逃逸能量，但仍被限制在恒星系统的雅可比半径内的星团恒星。另一方面，星团的解析模型通常有一个截断能量等于星团逃逸能量，因此明确排除了这些能量未绑定的恒星。从Henon的圆形希尔方程的周期性轨道的里程碑分析开始，我们提出了一个数值探索的人口“非逃逸者”，这里定义为那些恒星保持在两个雅可比半径为几个银河周期，与能量以上的逃逸能量。我们表明，他们可以其特征在于由Jacobi积分和两个进一步的近似积分，这是基于扰动理论和思想从Lidov Kozai理论。最后，我们使用这些结果来构建一个近似的分析模型，其中包括一个相空间描述的人口类似的潜在的逃生者，除了通常的约束人口。
英文摘要：
In the context of a star cluster moving on a circular galactic orbit, a "potential escaper" is a cluster star that has orbital energy greater than the escape energy, and yet is confined within the Jacobi radius of the stellar system. On the other hand analytic models of stellar clusters typically have a truncation energy equal to the cluster escape energy, and therefore explicitly exclude these energetically unbound stars. Starting from the landmark analysis performed by Henon of periodic orbits of the circular Hill equations, we present a numerical exploration of the population of "non-escapers", defined here as those stars which remain within two Jacobi radii for several galactic periods, with energy above the escape energy. We show that they can be characterised by the Jacobi integral and two further approximate integrals, which are based on perturbation theory and ideas drawn from Lidov-Kozai theory. Finally we use these results to construct an approximate analytic model that includes a phase space description of a population resembling that of potential escapers, in addition to the usual bound population.
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