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arXiv 1003.5528gr-qc
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地月系统对LISA自由降落轨道的调制

Modulation of LISA free-fall orbits due to the Earth-Moon system

M. Cerdonio, F. De Marchi, R. De Pietri, P. Jetzer, F. Marzari, G. Mazzolo, A. Ortolan, M. Sereno

摘要:

计算了地月系统对LISA试验质量块自由降落运动的影响。我们发现,电磁系统的周期性引力牵引引起了一个基频为1 yr^-1的共振和一系列频率等于朔望月整数谐波(9.92 10^-7 Hz)的周期性扰动。然后,我们评估这些扰动(高达6次谐波)对每个测试质量对之间的相对运动的影响,发现它们的范围在3 mm和10 pm之间的2次和6次谐波,分别。如果我们将LISA灵敏度曲线外推到10^-6 Hz,我们可以得到,在LISA空间任务收集的多普勒数据中可以检测到EM系统的一些谐波。这表明EM系统重力近场可以在非常低的频率下为LISA灵敏度提供绝对校准。

英文摘要:

We calculate the effect of the Earth-Moon (EM) system on the free-fall motion of LISA test masses. We show that the periodic gravitational pulling of the EM system induces a resonance with fundamental frequency 1 yr^-1 and a series of periodic perturbations with frequencies equal to integer harmonics of the synodic month (9.92 10^-7 Hz). We then evaluate the effects of these perturbations (up to the 6th harmonics) on the relative motions between each test masses couple, finding that they range between 3mm and 10pm for the 2nd and 6th harmonic, respectively. If we take the LISA sensitivity curve, as extrapolated down to 10^-6 Hz, we obtain that a few harmonics of the EM system can be detected in the Doppler data collected by the LISA space mission. This suggests that the EM system gravitational near field could provide an absolute calibration for the LISA sensitivity at very low frequencies.

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