发表机构
Bar-Ilan University; University of Concepción; INFN, Sezione di Trieste; Racah Institute of Physics, Hebrew University（巴伊兰大学; 康塞普西翁大学; 意大利国家核物理研究所的里雅斯特分部; 希伯来大学拉卡物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对与原行星盘等相关的平面三体问题，采用基于通量的统计理论推导预测，经百万次模拟验证发现部分预测吻合、部分存在偏差并探讨了原因。
AI 中文摘要
我们研究非层级平面三体问题的统计特性，该问题与具有近平面动力学的天体物理系统相关，包括原行星盘和活动星系核（AGN）盘。采用此前已在三维情形下研究的基于通量的三体问题统计理论，我们推导平面情形下若干统计可观测物理量的理论预测。针对遍历性瓦解结果，我们将这些预测直接与数值模拟对比，并与对应的无约束三维情形结果进行对照。我们的分析基于8组不同质量集合各100万次模拟，研究了逃逸概率、边缘逃逸事件特性、偏心率分布、寿命分布以及顺行与逆行逃逸的相对占比。尽管部分理论预测与模拟结果吻合良好，但其他预测存在意外偏差，我们对这些偏差的可能解释进行了讨论。
英文摘要
We investigate the statistical properties of the non-hierarchical planar three-body problem, relevant to astrophysical systems with nearly planar dynamics, including protoplanetary disks and AGN disks. Using the Flux-based statistical theory of the three-body problem, previously studied in three dimensions, we derive theoretical predictions for several statistical observables in the planar case. Focusing on ergodic disintegration outcomes, we compare these predictions directly with numerical simulations and contrast the results with the corresponding unconstrained three-dimensional case. Our analysis is based on one million simulations for each of eight distinct mass sets. We examine escape probabilities, properties of marginal escape events, eccentricity distributions, lifetime distributions, and relative prevalence of prograde and retrograde escapes. While several of the theoretical predictions are in good agreement with the simulations, others exhibit unexpected discrepancies. We discuss possible explanations for these deviations.
Comments15 pages, 12 figures
