用于LISA的高效时域偏心银道面双星模型
Efficient time-domain eccentric model for Galactic binaries in LISA
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中文总结 AI 辅助
本文提出用于LISA的时域偏心银道面双星波形软件包\texttt{eGB-multi},量化了轨道偏心导致准圆形近似失效的参数范围。
中文摘要 AI 辅助
银道面双星预计将是激光干涉空间天线(LISA)数据流中数量最多的长寿源,通常被建模为准圆形、近单色系统。本研究提出了\texttt{eGB-multi},这是一款用于LISA的快速时域偏心银道面双星波形软件包。该软件包结合了后牛顿近似精度的准开普勒偏心源模型与时域LISA响应,通过延迟单向链路评估信号,进而构建时间延迟干涉测量可观测值。其模块化实现允许用户切换不同层级的轨道描述,涵盖牛顿闭合偏心轨道、包含1PN精度近星点进动的相对论性进动偏心轨道,以及额外考虑四极领先阶引力辐射反应的进动收缩偏心轨道。该框架还提供自动演化模式,可基于预定义的失配容差选择合适的轨道动力学层级。我们利用该框架量化轨道偏心使得银道面双星常用准圆形近似失效的参数范围。
英文摘要
Galactic binaries are expected to be the most numerous long-lived sources in the Laser Interferometer Space Antenna (LISA) data stream and are commonly modeled as quasi-circular, nearly monochromatic systems. In this work we present \texttt{eGB-multi}, a fast time-domain eccentric Galactic-binary waveform package for LISA. The package combines a post-Newtonian-accurate quasi-Keplerian eccentric source model with a time-domain LISA response, evaluating the signal on the retarded one-way links and then constructing time-delay interferometry observables. Its modular implementation allows the user to switch between different levels of orbital description, ranging from Newtonian closed eccentric orbits and relativistically precessing eccentric orbits incorporating the 1PN-accurate periastron advance, to precessing and shrinking eccentric orbits that additionally account for gravitational radiation reaction at leading quadrupolar order. The framework also provides an automatic evolution mode, in which the appropriate level of orbital dynamics is selected based on a pre-defined mismatch tolerance. We employ this framework to quantify the regimes in which orbital eccentricity renders the commonly adopted quasi-circular approximation for Galactic binaries inadequate.