Redshift-Space Distortions of the Correlation Function in Wide-Angle Galaxy Surveys
Redshift-Space Distortions of the Correlation Function in Wide-Angle Galaxy Surveys
复制标题
广角星系巡天中相关函数的红移空间畸变
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
S. Landy
中科院分区：
文献类型：
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作者：
A. Szalay;T. Matsubara;S. Landy
利用一种新的二维坐标系，我们导出了一种特别简单的方法来表示闭合形式的任意几何星系红移测量中的红移扭曲。这种方法提供了一种在广域调查中测量β=Ω0.60/b值的几乎理想的方法，因为调查中的所有对都可以用于分析。在小角度的限制下，这一结果直接简化为平面平行近似。这种扩展也可以与更复杂的方法结合使用，例如计算任意测量几何的红移空间中的Karhunen-Loève特征向量。因此，这些结果将为同时测量大尺度功率谱和β值提供更精确的方法。
Using a novel two-dimensional coordinate system, we have derived a particularly simple way to express the redshift distortions in galaxy redshift surveys with arbitrary geometry in closed form. This method provides an almost ideal way to measure the value of β=Ω0.60/b in wide area surveys, since all pairs in the survey can be used for the analysis. In the limit of small angles, this result straightforwardly reduces to the plane-parallel approximation. This expansion can also be used together with more sophisticated methods such as the calculation of Karhunen-Loève eigenvectors in redshift space for an arbitrary survey geometry. Therefore, these results should provide more precise methods in which to measure the large-scale power spectrum and the value of β simultaneously.