相对论两体问题中的动量反冲：高阶尾
Momentum recoil in the relativistic two-body problem: higher-order tails
摘要：
在描述相对论性两体相互作用时，除了由于引力辐射的发射而导致的能量和角动量损失的影响外，还必须考虑线性动量的损失，这是系统质心反冲的原因。我们计算高阶尾（即，尾尾和尾平方）的贡献的线性动量通量的非自旋双星系统沿双曲线或椭圆形轨道。相应的轨道平均值在其领先的后牛顿近似下进行评估，使用调和坐标并在傅立叶域中工作。最后给出了沿双曲轨道的大偏心率（或大角动量）展开式和沿椭圆轨道的小偏心率展开式。因此，我们完成了先前的分析，重点是能量和角动量损失[Phys. Rev. D \textbf{104}，no.10，104020（2021）]，提供了有用的砖型结果，例如，用于高精度地确定经历散射过程的两个物体的辐射脉冲。
英文摘要：
In the description of the relativistic two-body interaction, together with the effects of energy and angular momentum losses due to the emission of gravitational radiation, one has to take into account also the loss of linear momentum, which is responsible for the recoil of the center-of-mass of the system. We compute higher-order tail (i.e., tail-of-tail and tail-squared) contributions to the linear momentum flux for a nonspinning binary system either along hyperboliclike or ellipticlike orbits. The corresponding orbital averages are evaluated at their leading post-Newtonian approximation, using harmonic coordinates and working in the Fourier domain. The final expressions are given in a large-eccentricity (or large-angular momentum) expansion along hyperboliclike orbits and in a small-eccentricity expansion along ellipticlike orbits. We thus complete a previous analysis focusing on both energy and angular momentum losses [Phys. Rev. D \textbf{104}, no.10, 104020 (2021)], providing brick-type results which will be useful, e.g., in the high-accurate determination of the radiated impulses of the two bodies undergoing a scattering process.
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