论文标题
三个身体的第一个牛顿后对紧凑型二进制的世俗动力学的影响
The three body first post-Newtonian effects on the secular dynamics of a compact binary near a spinning supermassive black hole
论文作者
论文摘要
银河核中超质量黑洞（SMBH）附近形成的二元黑洞（BBH）会由于SMBH的重力扰动而受到偏心率激发，因此更有效地合并。在本文中，我们研究了三个体后牛顿后（PN）的效果以及分层三重系统中SMBH的自旋效应的耦合。我们通过在SMBH旋转中包括De Sitter进动与透镜 - 曲折进动之间的耦合来扩展以前的工作。这种耦合既包括内部轨道角动量的进攻，又包括一般参考框架外轨道角动量周围的runge-lenz向量。我们发现，丽莎将来可以检测到邻近的Kozai-Lidov循环中（最大）偏心率的变化。只要外轨道平面演变，我们就三个身体系统中三个身体1PN效应的耦合的一般论点都可以扩展到任何其他情况。
The binary black holes (BBHs) formed near the supermassive black holes (SMBHs) in the galactic nuclei would undergo eccentricity excitation due to the gravitational perturbations from the SMBH and therefore merger more efficiently. In this paper, we study the coupling of the three body 1st post-Newtonian (PN) effects with the spin effects from the SMBH in the hierarchical triple system. We extend previous work by including the coupling between the de Sitter precession and the Lense-Thirring precession from the SMBH spin. This coupling includes both the precessions of the inner orbit angular momentum and the Runge-Lenz vector around the outer orbit angular momentum in a general reference frame. We find the change of the (maximal) eccentricity in the neighboring Kozai-Lidov cycles due to spin effects is detectable by LISA in the future. Our general argument on the coupling of the three body 1PN effects in three body systems could be extended to any other situation as long as the outer orbital plane evolves.
