Abstract
We present the results of astrometric observations with VERA toward H$_2$O maser sources in IRAS 05137$+$3919, which is thought to be located in the far outer Galaxy. We derived a parallax of $\pi$$=$ 0.086$\ \pm\ $0.027 mas, which corresponds to a source distance of $D$$=$ 11.6$^{+5.3}_{-2.8}\ $kpc. Although the parallax measurement was only at the 3-$\sigma$ level, and thus the distance uncertainty was considerably large, we can strongly constrain the minimum distance to this source, locating the source at a distance from the Sun greater than 8.3 kpc (or 16.7 kpc from the Galaxy's center) at the 90% confidence level. Our results provide an astrometric confirmation that this source is located in the far outer Galaxy beyond 15 kpc from the Galaxy center, indicating that IRAS 05137$+$3919 is one of the most distant star-forming regions from the Galaxy center.
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