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arXiv 1209.3986gr-qcastro-ph.CO
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非束缚致密双星的引力波功率谱

Power spectrum of gravitational waves from unbound compact binaries

Lorenzo De Vittori, Philippe Jetzer, Antoine Klein

摘要:

未束缚的相互作用致密双星在很宽的频率范围内发射引力辐射。由于在未来的探测器中,如LISA或先进的LIGO,预计会出现短脉冲信号,因此研究它们的能谱和频率峰值的位置是很有趣的。在这里,我们遵循Capozziello等人的工作,在四极近似下推导出在双曲轨道上相互作用的大质量物体系统的理论。特别是,我们重点推导了发射波能谱的解析公式。在数值近似中,我们的公式与两种已知的极限情况一致:偏心率ε = 1时,抛物型情况,其谱由Berry和Gair计算,大ε极限由Turner给出。

英文摘要:

Unbound interacting compact binaries emit gravitational radiation in a wide frequency range. Since short burst-like signals are expected in future detectors, such as LISA or advanced LIGO, it is interesting to study their energy spectrum and the position of the frequency peak. Here we derive them for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation, following the work of Capozziello et al. In particular, we focus on the derivation of an analytic formula for the energy spectrum of the emitted waves. Within numerical approximation our formula is in agreement with the two known limiting cases: for the eccentricity ε = 1, the parabolic case, whose spectrum was computed by Berry and Gair, and the large ε limit with the formula given by Turner.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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