发表机构
School of Astronomy and Space Science, Nanjing University; Key Laboratory of Modern Astronomy and Astrophysics in Ministry of Education, Nanjing University（南京大学天文与空间科学学院; 南京大学现代天文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 中文总结
该研究揭示广义相对论等短程力通过引入极向倾角附近的不确定区域，使受限层级三体系统中的翻转轨道产生大规模混沌，并解析推导了混沌边界。
AI 中文摘要
背景：偏心冯·蔡佩尔-利多夫-科扎伊效应广泛应用于多种天体物理场景，可将内双星驱动至极高偏心率，此时广义相对论（GR）等短程力变得显著。目的：庞加莱截面显示，GR效应重塑了相空间结构，产生广泛而大规模混沌海。本工作旨在揭示GR致混沌的潜在机制。方法：在绝热框架内研究动力学结构，构建绝热不变量。由该不变量水平曲线定义的相图，为混沌区域建立了解析边界。随后进行数值模拟，以绘制初始偏心率-倾角参数空间中的轨道翻转、最大偏心率及快速李雅普诺夫指标（FLI）。结果：相图分析表明，GR进动在极向倾角附近引入不确定区域，穿越该区域的轨道本质上变为混沌。利用该框架，解析推导了全参数空间中的混沌边界，与翻转轨道、最大偏心率及FLI的数值图高度吻合。结论：在存在短程力的情况下，伴随极端偏心率激发的翻转轨道本质上是混沌的，大规模混沌的潜在机制源于轨道在长期时间尺度上周期性地穿越相空间中的不确定区域。
英文摘要
Context: The eccentric von Zeipel-Lidov-Kozai effect, which is widely applied to diverse astrophysical settings, can drive the inner binary to extremely high eccentricities, where short-range forces such as general relativity (GR) become prominent. Aims: Poincare surfaces of section show that GR effects reshape phase-space structures, giving rise to a widespread and large-scale chaotic sea. This work aims to uncover the underlying mechanism of GR-enabled chaos. Methods: The dynamical structures are studied within an adiabatic framework, where an adiabatic invariant is constructed. Phase portraits, defined by the level curves of this invariant, establish analytical boundaries for the chaotic domains. Numerical simulations are subsequently performed to map orbital flips, maximum eccentricities, and Fast Lyapunov Indicators (FLI) across the initial eccentricity-inclination parameter space. Results: Phase portrait analysis demonstrates that GR precession introduces an uncertainty zone near polar inclinations, where trajectories crossing this zone inherently become chaotic. Leveraging this framework, the chaotic boundaries across the full parameter space are analytically derived, yielding excellent agreement with numerical maps of flipping orbits, maximum eccentricity, and FLI. Conclusions: In the presence of short-range forces, flipping orbits accompanied by extreme eccentricity excitation are fundamentally chaotic, and the underlying mechanism of large-scale chaos originates from the periodic passage of trajectories through the uncertainty zone in phase space over secular timescales.
Comments13 pages, 11 figures. Accepted for publication in A&A
