RUI: Quasar Investigations

这项拨款是为了支持研究，以扩大权力的方法， 从两个到三个离散目标的频谱分析 尺寸，然后将生成的过程应用于 类星体位置分析 新程序应避免与下列问题有关的问题： 分布的等距抽样（仅尺度变化 可以检测到超过奈奎斯特标度），并充分利用 所有可用的数据。 它还将提供一种替代方案， 两点相关函数作为一种看待 数据 由于分布的功率谱是傅立叶 变换的自相关函数，三维 功率谱应等同于 类星体自相关函数 的主要数据库， 项目将是新的伯比奇和休伊特（1987年）的目录， 准恒星物体，从中选择子集。 新程序的应用应有助于了解 类星体聚集的规模显然是一个令人烦恼的问题， 三维空间

This grant is to suppport research to extend the method of power spectrum analysis of discrete objects from two to three dimensions, and then to apply the resulting procedure to the analysis of quasar positions. The new procedure should avoid the problem associated with equidistant sampling of a distribution (only variations on scales exceeding the Nyquist scale can be detected), and make full use of all the data available. It will also provide an alternative to the two-point correlation function as a way of looking at the data. Since the power spectrum of a distribution is the Fourier transform of the autocorrelation function, the three dimensional power spectrum should be equivalent to the evaluation of the quasar autocorrelation function. The principal data base for the project will be the new Burbidge and Hewitt (1987) catalog of quasi-stellar objects, from which subsets will be selected. The application of the new procedure should shed some light on the apparently vexing question of the scale of quasar clustering in three dimensions.