包含中心大质量天体和紧密双星的层级三星系统的稳定性：内轨道和外轨道偏心率对双星瓦解条件的影响
Stability of hierarchical triples comprising a central massive body and a tight binary: the effect of inner and outer eccentricities on the binary breakup condition
AI总结：
本文研究了包含中心大质量天体和紧密双星的层级三星系统的稳定性，通过长时间的牛顿N体模拟，提出了一个综合考虑内外轨道偏心率、相互倾角、质量比和瓦解时标的双星瓦解条件经验拟合公式。
摘要：
我们探讨了由中心大质量天体和较小质量伴星组成的紧密双星构成的引力三星系统的稳定性。本文重点关注改进这些系统中双星的Hill型稳定性判据，特别关注内轨道和外轨道偏心率的效应。我们进行了直接的牛顿N体模拟，其积分时间比以往研究长得多，这对于可靠地确定这些系统的稳定性和瓦解时标分布至关重要。结果，我们得到了双星瓦解条件的经验拟合公式，该公式包含了内轨道和外轨道偏心率、内外轨道的相互倾角、三个天体的质量比以及瓦解时标的影响。
英文摘要：
We explore the stability of gravitational triple systems comprising a central massive body and a tight binary of less massive pairs. In the present paper, we focus on improving the Hill-type stability criterion for the binary in those systems, with particular attention to the effects of the eccentricities of the inner and outer orbits. We perform direct Newtonian N-body simulations over much longer integration times than previous studies, which is essential to determine the stability and breakup timescale distributions of those systems in a reliable fashion. As a result, we obtain an empirical fitting formula of the binary breakup condition that incorporates effects of the inner and outer eccentricities, the mutual inclination of the inner and outer orbits, the mass ratios of the three bodies, and the breakup timescale.
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