论文标题
相对论两体问题中的动量后坐力：高阶尾巴
Momentum recoil in the relativistic two-body problem: higher-order tails
论文作者
论文摘要
在对相对论的两体相互作用的描述，以及由于引力辐射的发射而导致的能量和角动量损失的影响，还必须考虑线性动量的损失，这是导致系统中心质量的后座。我们计算对线性动量通量的高阶尾巴（即尾巴和尾平）的贡献，用于沿倍曲状或椭圆形轨道沿二进制二进制系统的线性动量通量。使用谐波坐标并在傅立叶域中工作，在其领先的牛顿后近似值上评估相应的轨道平均值。最终表达式以沿双曲线轨道和沿椭圆形轨道的小商分膨胀的大十分之一（或大角度动量）的扩展给出。因此，我们完成了以前的分析，重点是能量和角动量损失[Phys。 Rev. d \ textbf {104}，第10、104020号（2021）]，提供砖型结果，例如，在高准确的确定两个物体的辐射冲动中，这两个物体正在进行散射过程。
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.
