由中心大质量天体和偏心轨道上的紧密双星组成的分级三体的稳定性和命运

Toshinori Hayashi, Alessandro A. Trani, Yasushi Suto
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引用次数: 0

摘要

我们探讨了引力三重系统的稳定性和命运,该系统由一个中心大质量天体和一对质量较小的紧密双星组成。我们目前的目的有两个方面:(1)改进这些系统中双星的希尔型稳定性标准;(2)研究双星解体后三重系统的命运,尤其关注内外轨道中心度的影响。与以往的研究相比,我们在更长的积分时间内进行了直接的牛顿N-body模拟,这对于以可靠的方式从统计学角度确定这些系统的最终命运至关重要。我们得到了双星稳定边界的经验拟合公式,其中包含了内外偏心率、内外轨道的相互倾角以及三个天体的质量比等因素的影响。我们还发现,这些三重系统在双星解体后会在更长的时间尺度内保持稳定,而且它们的最终命运(外部天体的抛射、与中心大质量天体的合并以及两个小质量天体的碰撞)对初始外偏心率非常敏感。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability and fate of hierarchical triples comprising a central massive body and a tight binary in eccentric orbits
We explore the stability and fate of gravitational triple systems comprising a central massive body and a tight binary of less massive pairs. Our present purpose is two fold; (1) to improve the Hill-type stability criterion for the binary in those systems, and (2) to examine the fate of the triple systems after the binary break-up, 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 eventual fate of those systems statistically in a reliable fashion. We obtain an empirical fitting formula of the binary stability boundary that incorporates effects of the inner and outer eccentricities, the mutual inclination of the inner and outer orbits, and the mass ratios of the three bodies. We also find that those triple systems are stable for a much longer timescale after the binary break-up, and that their final fates (ejection of the outer body, merger to the central massive body, and collision of two less massive bodies) are very sensitive to the initial outer eccentricity.
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