Clustering of Local Group distances: publication bias or correlated measurements? V. Galactic rotation constants

As part of on an extensive data mining effort, we have compiled a database of 162 Galactic rotation speed measurements at $R_0$ (the solar Galactocentric distance), $\Theta_0$. Published between 1927 and 2017 June, this represents the most comprehensive set of $\Theta_0$ values since the 1985 meta analysis that led to the last revision of the International Astronomical Union's recommended Galactic rotation constants. Although we do not find any compelling evidence of the presence of `publication bias' in recent decades, we find clear differences among the $\Theta_0$ values and the $\Theta_0/R_0$ ratios resulting from the use of different tracer populations. Specifically, young tracers (including OB and supergiant stars, masers, Cepheid variables, H{\sc ii} regions, and young open clusters), as well as kinematic measurements of Sgr A* near the Galactic Center, imply a significantly larger Galactic rotation speed at the solar circle and a higher $\Theta_0/R_0$ ratio (i.e., $\Theta_0 = 247 \pm 3$ km s$^{-1}$ and $\Theta_0/R_0 = 29.81 \pm 0.32$ km s$^{-1}$ kpc$^{-1}$; statistical uncertainties only) than any of the tracers dominating the Galaxy's mass budget (i.e., field stars and the H{\sc i}/CO distributions). Using the latter as most representative of the bulk of the Galaxy's matter distribution, we arrive at an updated set of Galactic rotation constants, \Theta_0 = 225 \pm 3 \mbox{ (statistical)} \pm 10 \mbox{ (systematic) km s}^{-1}, R_0 = 8.3 \pm 0.2 \mbox{ (statistical)} \pm 0.4 \mbox{ (systematic) kpc}, and \Theta_0 / R_0 = 27.12 \pm 0.39 \mbox{ (statistical)} \pm 1.78 \mbox{ (systematic) km s}^{-1} \mbox{ kpc}^{-1}.Comment: 8 pages, 4 figures; ApJS, in pres

Clustering of Local Group distances: publication bias or correlated measurements? VII. A distance framework out to 100 Mpc

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 $\Delta (m-M)_0^{\rm Fornax - Virgo} = 0.18 \pm 0.28$ mag and $\Delta (m-M)_0^{\rm Coma - Virgo} = 3.75 \pm 0.23$ 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$1$\sigma$. Lingering uncertainties in the underlying absolute distance scale appear to have given rise to a systematic uncertainty on the order of 0.20 mag.Comment: 15 pages, 3 figures; accepted for publication in ApJ

Clustering of Local Group distances: publication bias or correlated measurements? III. The Small Magellanic Cloud

Aiming at providing a firm mean distance estimate to the Small Magellanic Cloud (SMC), and thus to place it within the internally consistent Local Group distance framework we recently established, we compiled the current-largest database of published distance estimates to the galaxy. Based on careful statistical analysis, we derive mean distance estimates to the SMC using eclipsing binary systems, variable stars, stellar population tracers, and star cluster properties. Their weighted mean leads to a final recommendation for the mean SMC distance of $(m-M)_0^{\rm SMC} = 18.96 \pm 0.02$ mag, where the uncertainty represents the formal error. Systematic effects related to lingering uncertainties in extinction corrections, our physical understanding of the stellar tracers used, and the SMC's complex geometry---including its significant line-of-sight depth, its irregular appearance which renders definition of the galaxy's center uncertain, as well as its high inclination and possibly warped disk---may contribute additional uncertainties possibly exceeding 0.15--0.20 mag.Comment: 17 pages, 2 figures (emulateapj format); AJ, in pres

Clustering of Local Group distances: publication bias or correlated measurements? II. M31 and beyond

The accuracy of extragalactic distance measurements ultimately depends on robust, high-precision determinations of the distances to the galaxies in the local volume. Following our detailed study addressing possible publication bias in the published distance determinations to the Large Magellanic Cloud (LMC), here we extend our distance range of interest to include published distance moduli to M31 and M33, as well as to a number of their well-known dwarf galaxy companions. We aim at reaching consensus on the best, most homogeneous, and internally most consistent set of Local Group distance moduli to adopt for future, more general use based on the largest set of distance determinations to individual Local Group galaxies available to date. Based on a careful, statistically weighted combination of the main stellar population tracers (Cepheids, RR Lyrae variables, and the magnitude of the tip of the red-giant branch), we derive a recommended distance modulus to M31 of $(m-M)_0^{\rm M31} = 24.46 \pm 0.10$ mag---adopting as our calibration an LMC distance modulus of $(m-M)_0^{\rm LMC} = 18.50$ mag---and a fully internally consistent set of benchmark distances to key galaxies in the local volume, enabling us to establish a robust and unbiased, near-field extragalactic distance ladder.Comment: AJ, in press; 32 pages in AASTeX preprint format, 6 postscript figures. For online database, see http://astro-expat.info/Data/pubbias.htm