标题： 引力波在偏心致密双星旋近过程中的球面谐波模式中的自旋效应 显示英文标题

标题： Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals

摘要： 我们通过第二后牛顿阶（2PN）计算了非圆轨道中非进动成分的致密双星引力波形球谐模式中的主导和次主导自旋效应。 在2PN波形中出现的两个自旋耦合项，即线性自旋（自旋-轨道；SO）和二次自旋（自旋-自旋；SS），以所需的精度进行计算，并推导出相关模式的显式表达式。 通过2PN具有自旋修正的模式包括$(\ell, |m|)$=$((2,2),\,(2,1),\,(3,3),\,(3,2),\,(3,1),\,(4,3),\,(4,1))$模式。 提供了适用于一般轨道以及椭圆轨道的紧凑双星这些模式的闭合形式表达式。 虽然一般轨道结果可用于研究任意形状和性质轨道中的信号，但椭圆轨道结果适用于任意偏心率的系统。 我们还将椭圆轨道结果表示为对圆轨道结果的主导偏心修正。 我们的方法是首次将自旋、偏心率和高阶模式结合在一起的完全解析处理，并完成了通过2PN阶的自旋效应计算。 这些结果应立即应用于偏心合并的 inspiral-merger-ringdown 模型，包括非进动自旋和高阶模式的影响，以及在使用 inspiral 波形的参数估计分析中。 显示英文摘要

摘要： We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing components. The two spin couplings, linear-in-spin (spin-orbit; SO) and quadratic-in-spin (spin-spin; SS), that appear in 2PN waveforms are computed with desired accuracy and explicit expressions for relevant modes are derived. The modes that have spin corrections through 2PN include $(\ell, |m|)$=$((2,2),\,(2,1),\,(3,3),\,(3,2),\,(3,1),\,(4,3),\,(4,1))$ modes. Closed form expressions for these modes for compact binaries in general orbits as well as in elliptical orbits are being provided. While the general orbit results can be used to study signals from binaries in orbits of arbitrary shape and nature, elliptical orbit results are applicable to systems with arbitrary eccentricities. We also express the elliptical orbit results as leading eccentric corrections to the circular results. Our prescription represents, the first, fully analytical treatment that combines spins, eccentricity and higher modes together and completes computation of spin effects through 2PN order. These should find immediate applications in inspiral-merger-ringdown modelling for eccentric mergers including the effect of non-precessing spins and higher modes as well as in parameter estimation analyses employing inspiral waveform.