Importance of tidal resonances in extreme-mass-ratio inspirals
Importance of tidal resonances in extreme-mass-ratio inspirals
复制标题
DOI：
10.1103/physrevd.104.044056
复制
发表时间：
2021-04
影响因子：
5
通讯作者：
Priti Gupta;B. Bonga;A. J. Chua;Takahiro Tanaka
中科院分区：
文献类型：
--
作者：
Priti Gupta;B. Bonga;A. J. Chua;Takahiro Tanaka
极端质量比螺旋（EMRI）将是未来天基引力波探测器的重要来源。在最近的工作中，由附近恒星或黑洞的潮汐场引起的双星轨道演化中的潮汐共振已被确定为在极端质量比inspirals的背景下具有潜在意义。当描述轨道的三个轨道频率相当时，这些共振就会发生。在共振过程中，小天体的轨道参数经历一次跳跃，导致引力波形的相位发生变化。在本文中，我们把潮汐扰动作为固定的，并限制在赤道平面，并提出了第一个研究如何共同和重要的共振是在整个轨道参数空间。我们发现，很大一部分的inspirals遇到低阶共振的观测重要的制度。虽然潮汐共振的瞬时效应很小，但其对EMRI系统的重力波形的累积相位的影响可能是显着的，因为它在频带中的许多周期;我们估计，对于相当大一部分的源，这种影响是可以检测到的。对于几种低阶共振，我们还提供了潮汐共振引起的轨道运动常数变化的拟合公式。
Extreme mass ratio inspirals (EMRIs) will be important sources for future space-based gravitational-wave detectors. In recent work, tidal resonances in binary orbital evolution induced by the tidal field of nearby stars or black holes have been identified as being potentially significant in the context of extreme mass-ratio inspirals. These resonances occur when the three orbital frequencies describing the orbit are commensurate. During the resonance, the orbital parameters of the small body experience a jump leading to a shift in the phase of the gravitational waveform. In this paper, we treat the tidal perturber as stationary and restricted to the equatorial plane, and present a first study of how common and important such resonances are over the entire orbital parameter space. We find that a large proportion of inspirals encounter a low-order resonance in the observationally important regime. While the instantaneous effect of a tidal resonance is small, its effect on the accumulated phase of the gravitational waveform of an EMRI system can be significant due to its many cycles in band; we estimate that the effect is detectable for a significant fraction of sources. We also provide fitting formulae for the induced change in the constants of motion of the orbit due to the tidal resonance for several low-order resonances.