共面三星系统中的环双星行星：I. 最小偏心率变化区域
Circumbinary planets in coplanar triple-star systems: I. Minimum eccentricity variation region
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中文总结 AI 辅助
本研究探究等级三星系统中Lidov-Kozai振荡的发生条件，通过N体模拟和解析推导，确定了环双星行星的最小偏心率变化区域，其结果可用于解释观测到的三星系统WDS 08403+1921的动力学特征。
中文摘要 AI 辅助
我们旨在确定在等级三星系统中，环双星行星发生Lidov-Kozai振荡的条件，并识别出相互竞争的长期摄动使偏心率激发最小化的轨道区域。我们分析了来自多星星表（Multiple Star Catalog）的等级三星系统的统计特性，以构建代表性合成构型。随后，我们对嵌入这些系统中的环双星行星进行了N体模拟，系统地探索了它们在不同半长轴和倾角范围内的轨道演化与长期稳定性。对于质量为$m_0 \sim m_1 \approx 0.75\\,{\rm M}_\odot$、$m_2 \approx 0.6\\,{\rm M}_\odot$，偏心率为$e_1 \sim 0.1$、$e_2 \sim 0.4$的代表性致密等级三星系统，具有动力学意义的稳定环双星区域仅存在于足够等级化的构型中，其周期比$P_2 /P_1 \gtrsim 10^2$。在该范围内，第三天体摄动与致密内双星引起的拱点进动之间的长期竞争，既决定了超过临界距离（$a_{\rm LK}$）的Lidov-Kozai振荡的起始，也确定了偏心率变化最小的区域（即最小偏心率变化区域，MER）的位置。我们对这些动力学特征推导了解析估计，结果表明，在短和中等时标上，MER可由解析量$a_{\rm short}$很好地描述；而在长期时标上，它收敛于平衡态预测值$a_{\rm ME}$。这些解析估计与N体模拟结果吻合良好。将其应用于观测到的三星系统WDS 08403+1921，证实$a_{\rm LK}$和$a_{\rm ME}$可准确识别稳定性图的主要动力学特征。
英文摘要
We aim to determine the conditions under which Lidov-Kozai oscillations can arise for circumbinary planets in hierarchical triple-star systems, and to identify the orbital regions where competing secular perturbations minimize eccentricity excitation. We analyzed the statistical properties of hierarchical triples from the Multiple Star Catalog to construct representative synthetic configurations. We then performed N-body simulations of circumbinary planets embedded in these systems, systematically exploring their orbital evolution and long-term stability across a range of semimajor axes and inclinations. For representative compact hierarchical triple-star systems with masses $m_0 \sim m_1 \approx 0.75\,{\rm M}_\odot$ and $m_2 \approx 0.6\,{\rm M}_\odot$ and eccentricities $e_1 \sim 0.1$ and $e_2 \sim 0.4$, dynamically significant stable circumbinary regions exist only in sufficiently hierarchical configurations, with period ratios $P_2 /P_1 \gtrsim 10^2$. In this regime, the secular competition between the tertiary perturbations and the apsidal precession induced by the compact inner binary determines both the onset of Lidov-Kozai oscillations beyond a critical distance ($a_{\rm LK}$) and the location of a region where eccentricity variations are minimized, i.e., the minimum eccentricity variation region (MER). We derived analytical estimates for these dynamical features, showing that the MER is well described by the analytical quantity $a_{\rm short}$ on short and intermediate timescales, while on secular timescales it converges toward the equilibrium prediction $a_{\rm ME}$. These analytical estimates agree well with N-body simulations. Application to the observed triple system WDS 08403+1921 confirms that $a_{\rm LK}$ and $a_{\rm ME}$ accurately identify the main dynamical features of the stability map.
发表机构
- Facultad de Matemática, Astronomía, Física y Computación (FAMAF), Universidad Nacional de Córdoba (UNC)（科尔多瓦国立大学数学、天文学、物理与计算学院）
- Instituto de Astronomía Teórica y Experimental (IATE), CONICET-UNC（理论与实验天文研究所）
- Observatorio Astronómico de Córdoba (OAC)（科尔多瓦天文台）
- Univ. Grenoble Alpes, CNRS, IPAG（格勒诺布尔阿尔卑斯大学法国国家科学研究中心IPAG实验室）
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