In this paper, we study the next-to-leading order corrections in the mass multipole expansion, i.e. the mass octupole and current quadrupole, to gravitational wave production by close hyperbolic encounters of compact objects. We find that the signal is again, as in the simple quadrupole case, a burst event with the majority of the released energy occurring during the closest approach. In particular, we investigate the relative contribution to the power, both in the time and frequency domains, and total energy emitted by each order in the mass multipole expansion in gravitational waves. To do so, we include in the quadrupole term its first order post-Newtonian correction, giving this a contribution to the power of the same order as that of the mass octupole and the current quadrupole. We find specific configurations of systems where these corrections could be important and should be taken into account when analysing burst events.

中文翻译：

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质量八极子和电流四极子对近距离双曲线相遇引力波发射的校正


在本文中，我们研究了质量多极子膨胀（即质量八极子和电流四极子）中次于紧凑物体的双曲线相遇产生的引力波的次序修正。我们发现，与简单的四极杆情况一样，该信号又是一个突发事件，其中大部分释放的能量发生在最近接近期间。特别是，我们研究了时域和频域中对功率的相对贡献，以及引力波中质量多极子膨胀中每个阶次发射的总能量。为此，我们在四极子项中包括了它的一阶牛顿后校正，使其对与质量八极子和当前四极子相同阶的幂做出了贡献。我们发现这些校正可能很重要的系统的特定配置，在分析突发事件时应考虑到这些校正。