Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates
追逐轨道而非时间:长时程偏心引力波代理的可扩展范式
Orbital eccentricity is a key tracer of the astrophysical origins of compact binaries; yet it remains absent from routine LIGO-Virgo-KAGRA analyses, in part because of the prohibitive computational cost of generating eccentric template waveforms. The complicated morphology of these waveforms due to the eccentric orbital timescale variations makes it difficult to construct their accurate and efficient surrogate models, especially for waveforms long enough to comprehensively cover the sensitivity bands of current ground-based gravitational-wave detectors. We present a novel and scalable surrogate building technique that makes surrogate modeling of long-duration eccentric binary black hole waveforms both feasible and highly efficient. The technique aims to simplify the harmonic content of intermediate eccentric waveform data pieces by modeling them in terms of an angular orbital element called the mean anomaly, instead of time. We show that this parametrization yields much more compressed surrogates than the standard time-based parametrizations. We also significantly simplify variations in waveform data pieces across the parameter space by expressing them in terms of the instantaneous orbital eccentricity and mean anomaly to ease their parametric fitting. Building on these developments, we construct InspiralESIGMASur: a <inline-formula><mml:math><mml:mrow><mml:mn>2.77</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup><mml:mi>M</mml:mi></mml:mrow></mml:math></inline-formula> (850─1250 orbits) long nonspinning surrogate for the inspiral-only eccentric waveform model InspiralESIGMA [K. Paul , Phys. Rev. D 111, 084074 (2025)PRVDAQ2470-001010.1103/PhysRevD.111.084074]. The methods presented in this Letter make it feasible to build long-duration eccentric surrogates for current as well as future third-generation gravitational-wave detectors.
展开 ▾用平近点角吸收啁啾,使偏心残差的振荡周期恒为 2π,基函数数量较时间参数化减少一个量级以上;所建 850–1250 轨道代理最高失配约 5×10^-5,单次评估约 40 ms,适合当前及 3G 探测器长模板需求。
长期以来,偏心波形代理受困于轨道时间尺度振荡:标准时间参数化残差需要数百至近千个基函数,难以扩展到长时程;这与 Field+ 2014 建立的贪心基/经验插值代理框架在准圆波形上的成功形成鲜明对比,也延续了 Islam+ 2021 对偏心代理构造难点的讨论。本文提出的平近点角参数化通过吸收啁啾、使残差振荡周期恒为 2π,将基函数压缩一个量级以上,并首次为 Paul+ 2025 的 InspiralESIGMA 构建 2.77×10^6 M 长代理。未来,该方法可结合仅依赖波形形态的偏心率与平近点角定义(如 Shaikh+ 2023)实现模型无关化,并已由 Nee+ 2025 拓展到短时程数值相对论偏心代理;对自旋、高阶模及 Reitze+ 2019 等 3G 探测器所需更长时间模板的扩展也在进行中。
预印本 2025-09-30 · 刊出 2026-07-21 · 收录 2026-08-20