论文标题
在星系中宽二元的相结合偏心率和倾斜度分布
On the phase-mixed eccentricity and inclination distributions of wide binaries in the Galaxy
论文作者
论文摘要
现代的观察性调查使我们能够探究太阳街区宽二进制的相位空间分布函数（DF）。该DF表现出非平凡的特征，特别是半轴轴的偏心率的超热分布，$ a \ gtrsim 10^3 $ au。要解释此类特征，我们必须首先了解二进制DF如何受动力扰动的影响，这些动态扰动通常分为两个类：（i）从经过的恒星，分子云等的随机踢。以及（ii）（ii）来自银河系潮汐的世俗扭矩。在这里，我们隔离效果（II），并计算在四极阶潮汐下的宽二进制组合的时间 - 杂种，相结合的DF。对于足够宽的二进制，混合混合假设是有效的，我们的结果都不明确取决于半轴轴，质量等。我们表明，除非初始DF在二进制方向上都是二进制方向和偏心热的同型，否则最终相位的DF始终是Anisotropic和nisisotropic和nor-thermal。但是，在相混合下产生超热DF的唯一方法是对本身的初始DF是超热。
Modern observational surveys allow us to probe the phase space distribution function (DF) of wide binaries in the Solar neighbourhood. This DF exhibits non-trivial features, in particular a superthermal distribution of eccentricities for semimajor axes $a\gtrsim 10^3$AU. To interpret such features we must first understand how the binary DF is affected by dynamical perturbations, which typically fall into two classes: (i) stochastic kicks from passing stars, molecular clouds, etc. and (ii) secular torques from the Galactic tide. Here we isolate effect (ii) and calculate the time-asymptotic, phase-mixed DF for an ensemble of wide binaries under quadrupole-order tides. For binaries wide enough that the phase-mixing assumption is valid, none of our results depend explicitly on semimajor axes, masses, etc. We show that unless the initial DF is both isotropic in binary orientation and thermal in eccentricity, then the final phase-mixed DF is always both anisotropic and non-thermal. However, the only way to produce a superthermal DF under phase mixing is for the initial DF to itself be superthermal.
