拉格朗日轨道中三体系统的引力波形式：参数确定和二元源检验
Gravitational wave forms for a three-body system in Lagrange's orbit: parameter determinations and a binary source test
摘要：
在早期出版物[Torigoe等人，Phys. Rev. Lett. { \bf 102}，251101（2009）]中，特别是在解析方法中考虑了拉格朗日轨道中的三体系统的引力波形式。首先，我们推导出质量四极、八极和电流四极阶的三体波形式的表达式。通过使用这些表达式，我们解决了一个引力波{ \it逆}问题，即通过单独观测引力波形式来确定该特定配置的源参数（三个质量、源到观测者的距离和轨道到视线的倾角）。为此目的，在特定配置中的三体系统的啁啾质量通过删除初始角位置仅以质量比表示。我们还讨论了是否以及如何可以区分一个二进制源从一个三体系统在拉格朗日轨道或其他。
英文摘要：
Continuing work initiated in an earlier publication [Torigoe et al. Phys. Rev. Lett. {\bf 102}, 251101 (2009)], gravitational wave forms for a three-body system in Lagrange's orbit are considered especially in an analytic method. First, we derive an expression of the three-body wave forms at the mass quadrupole, octupole and current quadrupole orders. By using the expressions, we solve a gravitational-wave {\it inverse} problem of determining the source parameters to this particular configuration (three masses, a distance of the source to an observer, and the orbital inclination angle to the line of sight) through observations of the gravitational wave forms alone. For this purpose, the chirp mass to a three-body system in the particular configuration is expressed in terms of only the mass ratios by deleting initial angle positions. We discuss also whether and how a binary source can be distinguished from a three-body system in Lagrange's orbit or others.
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