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2026 年 4 月 28 日 星期二 · 数据截至 arXiv / ADS 最新收录日
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优先级 10 · 引力波电磁对应体 · 多信使触发与联合

Parameter-estimation bias induced by transient orbital resonances in extreme-mass-ratio inspirals

Levati, Edoardo, Cárdenas-Avendaño, Alejandro

原文摘要Abstract

Given the multifrequency nature of relativistic orbits, transient orbital resonances are expected to be ubiquitous during an extreme-mass-ratio inspiral (EMRI). At a resonance, the orbital dynamics is modified in a nontrivial way, imprinting an overall dephasing in the emitted gravitational waves and potentially impacting both the detection and parameter estimation of these sources. In this work, using a Fisher-matrix approach, we investigate the bias induced by transient orbital resonances in EMRI parameter estimation. We focus on the most dynamically significant low-order resonances, <inline-formula><mml:math><mml:mn>3</mml:mn><mml:mo>:</mml:mo><mml:mn>2</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math><mml:mn>2</mml:mn><mml:mo>:</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula>, as well as on the high-order, subdominant resonances, <inline-formula><mml:math><mml:mn>3</mml:mn><mml:mo>:</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math><mml:mn>4</mml:mn><mml:mo>:</mml:mo><mml:mn>3</mml:mn></mml:math></inline-formula>. We find that, for most of the orbits considered, neglecting the effect of a resonance crossing leads to significant losses in signal-to-noise ratio and induces bias in parameter recovery. Furthermore, both the sign and the amplitude of the resonance-induced modifications to the integrals of motion play a crucial role and must be modeled accurately. Our results provide further evidence that failing to model transient orbital resonances accurately can hinder EMRI detection and parameter estimation, thereby limiting their scientific potential.

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极端质量比旋进中瞬态轨道共振引起的参数估计偏差 · 本文用Fisher矩阵方法研究EMRI中瞬态轨道共振(如3:2和2:1等)对参数估计的偏差影响,发现忽略共振会导致信噪比损失和参数恢复偏差,需精确建模共振效应。

预印本 2026-04-28 · 刊出 2026-07-23 · 收录 2026-08-20