论文标题
结合圆周和帕德近似值以计算偏心灵感的傅立叶域模板
Combining Post-Circular and Padé approximations to compute Fourier domain templates for eccentric inspirals
论文作者
论文摘要
从天体物理考虑的角度来看，具有不可忽略的轨道偏心率的瞬态重力波（GW）事件的观察结果是高度回报的。现成的完全分析频域Inspiral GW模板是构建偏心的Inspient-Merger-Ringdown波形家族的关键成分，这是检测此类GW事件所需的。 It turns out that a fully analytic, post-Newtonian (PN) accurate frequency domain inspiral template family, which uses certain post-circular approximation, may only be suitable to model events with initial eccentricities $e_0 \leq 0.2$.We here explore the possibility of combining Post-Circular and Padé approximations to obtain fully analytic frequency domain eccentric inspiral templates.由此产生的1PN准确的近似值能够忠实地捕获具有$ e_0 \ e_0 \ leq 0.6 $的偏心灵感，同时采用我们对频域模板家族的1pn扩展，该模板家族不使用后圆形近似值，在Moore，B.，B。，B。等，等等，等等，\ fersical。 padé近似值以获得更高的PN订单模板以进行偏心灵感。
Observations of transient gravitational wave (GW) events with non-negligible orbital eccentricity can be highly rewarding from astrophysical considerations. Ready-to-use fully analytic frequency domain inspiral GW templates are crucial ingredients to construct eccentric inspiral-merger-ringdown waveform families, required for the detection of such GW events. It turns out that a fully analytic, post-Newtonian (PN) accurate frequency domain inspiral template family, which uses certain post-circular approximation, may only be suitable to model events with initial eccentricities $e_0 \leq 0.2$.We here explore the possibility of combining Post-Circular and Padé approximations to obtain fully analytic frequency domain eccentric inspiral templates. The resulting 1PN-accurate approximant is capable of faithfully capturing eccentric inspirals having $e_0 \leq 0.6$ while employing our 1PN extension of a frequency domain template family that does not use post-circular approximation, detailed in Moore, B., et al.\ 2018, Classical and Quantum Gravity, 35, 235006. We also discuss subtleties that arise while combining post-circular and Padé approximations to obtain higher PN order templates for eccentric inspirals.
