并合黑洞双星周围恒星轨道的偏心率和倾角激发
Eccentricity and Inclination Excitation of Stellar Orbits around merging Black-Hole Binaries
- School of Astronomy and Space Science, Nanjing University（南京大学天文与空间科学学院）
- Key Laboratory of Modern Astronomy and Astrophysics in Ministry of Education, Nanjing University（南京大学现代天体学与天体物理教育部重点实验室）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究构建含第三体摄动和后牛顿效应的框架，揭示并合黑洞双星周围恒星轨道经四极阶及八极阶共振激发倾角与偏心率，为探测并合BHBs提供间接途径。
AI中文摘要：
识别并合致密双星的形成通道仍然是引力波天体物理学中的一个基本挑战。在此，我们构建了一个同时包含第三体摄动和后牛顿效应的广义框架，以研究并合黑洞双星（BHBs）周围恒星轨道中由共振驱动的偏心率和/或倾角激发。我们表明，在四极阶水平上，倾角激发由绝热捕获进入四极阶共振驱动，随后的共振逃逸受相空间面积守恒支配。此外，在共面八极阶区域，近心点进动共振触发稳健的偏心率增长，其中捕获概率取决于初始条件。对于空间八极阶构型，我们揭示了一个独特的两阶段演化路径：四极阶共振首先激发轨道倾角，随后由逆von Zeipel-Lidov-Kozai（ZLK）共振驱动偏心率增长。我们的结果表明，这些共振驱动的动力学可能在周围恒星种群上留下可观测的运动学特征，从而为并合BHBs提供一种新颖的间接探针。
英文摘要：
Identifying the formation channels of merging compact-object binaries remains a fundamental challenge in gravitational-wave (GW) astrophysics. Here, we formulate a generalized framework incorporating both third-body perturbations and post-Newtonian effects to investigate the resonance-driven excitation of eccentricity and/or inclination for stellar orbits around merging black-hole binaries (BHBs). We show that at the quadrupole level, inclination excitation is driven by adiabatic capture into a quadrupole-order resonance, with subsequent resonance escape governed by the conservation of phase-space area. Furthermore, in the coplanar octupole regime, an apsidal precession resonance triggers robust eccentricity growth, where the capture probability depends on the initial conditions. For spatial octupole configurations, we reveal a distinct two-stage evolutionary pathway: the quadrupole-order resonance first excites the orbital inclination, followed by subsequent eccentricity growth driven by the inverse von Zeipel-Lidov-Kozai (ZLK) resonance. Our results indicate that these resonance-driven dynamics could imprint observable kinematic signatures on surrounding stellar populations, thereby offering a novel indirect probe for merging BHBs.
