Local Group距离的聚类：发表偏倚还是相关测量？VII。距离框架达100 Mpc
Clustering of Local Group distances: publication bias or correlated measurements? VII. A distance framework out to 100 Mpc
摘要：
我们认为公布的距离模的天炉座和后发座星系团，重点是自1990年以来的时期。我们已经仔细地将我们的距离模目录均匀化到本系列以前的论文中建立的距离尺度上。我们评估了与使用特定示踪剂相关的系统差异，并放弃了基于应用塔利-费舍尔关系和球状星团和行星状星云光度函数的结果。我们建议天炉座和后发座星系团相对于室女座星系团的$Δ(m-M)_0^{\rm Fornax - Virgo} = 0.18 \pm 0.28 $ mag和$Δ(m-M)_0^{\rm Coma - Virgo} = 3.75 \pm 0.23$ mag的"最佳"加权相对距离模数。（距离）我们得出的最具代表性的聚类距离是，\begin{eqnarray} (m-M)_0^{\rm Fornax} &=& 31.41 \pm 0.15 \mbox{ mag } (D = 19.1^{+1.4}_{-1.2} \mbox{ Mpc) and} \nonumber &=& 31.21 \pm 0.28 \mbox{ mag } (D = 17.5^{+2.4}_{-2.2} \mbox{ Mpc)}; \nonumber \\ (m-M)_0^{\rm Coma} &=& 34.99 \pm 0.38 \mbox{ mag } (D = 99.5^{+19.0}_{-15.9} \mbox{ Mpc) and} \nonumber &=& 34.78 \pm 0.27 \mbox{ mag } (D = 90.4^{+11.9}_{-10.6} \mbox{ Mpc)}, \nonumber \end{eqnarray}其中每个聚类的第一个值是我们对直接距离模量的分析结果，而第二模量基于相对于室女星系团的距离模量。两个聚类的绝对和相对距离模量在不确定性内相互一致;相对距离模量产生较短的距离$\sim$ 1 $σ$。在基本的绝对距离尺度上的不确定性似乎已经引起了系统的不确定性在0.20马格的顺序。
英文摘要：
We consider the published distance moduli to the Fornax and Coma galaxy clusters, with emphasis on the period since 1990. We have carefully homogenized our catalogs of distance moduli onto the distance scale established in the previous papers in this series. We assessed systematic differences associated with the use of specific tracers, and discarded results based on application of the Tully--Fisher relation and of globular cluster and planetary nebula luminosity functions. We recommend `best' weighted relative distance moduli for the Fornax and Coma clusters with respect to the Virgo cluster of $Δ(m-M)_0^{\rm Fornax - Virgo} = 0.18 \pm 0.28 $ mag and $Δ(m-M)_0^{\rm Coma - Virgo} = 3.75 \pm 0.23$ mag. The set of weighted mean distance moduli (distances) we derived as most representative of the clusters' distances is, \begin{eqnarray} (m-M)_0^{\rm Fornax} &=& 31.41 \pm 0.15 \mbox{ mag } (D = 19.1^{+1.4}_{-1.2} \mbox{ Mpc) and} \nonumber &=& 31.21 \pm 0.28 \mbox{ mag } (D = 17.5^{+2.4}_{-2.2} \mbox{ Mpc)}; \nonumber \\ (m-M)_0^{\rm Coma} &=& 34.99 \pm 0.38 \mbox{ mag } (D = 99.5^{+19.0}_{-15.9} \mbox{ Mpc) and} \nonumber &=& 34.78 \pm 0.27 \mbox{ mag } (D = 90.4^{+11.9}_{-10.6} \mbox{ Mpc)}, \nonumber \end{eqnarray} where the first value for each cluster is the result of our analysis of the direct distance moduli, while the second modulus is based on distance moduli relative to the Virgo cluster. The absolute and relative distance moduli for both clusters are mutually consistent within the uncertainties; the relative distance moduli yield shorter distances by $\sim$1$σ$. Lingering uncertainties in the underlying absolute distance scale appear to have given rise to a systematic uncertainty on the order of 0.20 mag.
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