Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parallax of a Mira variable R Ursae Majoris studied with astrometric
  VLBI   We have measured an annual parallax of the Mira variable R~Ursae~Majoris
(R~UMa) with the VLBI exploration for Radio Astronomy (VERA). From the
monitoring VLBI observations spanning about two years, we detected H$_2$O maser
spots in the LSR velocities ranges from 37 to 42 km\,s$^{-1}$. We derived an
annual parallax of 1.97$\pm$0.05\,mas, and it gives a corresponding distance of
508$\pm$13\,pc. The VLBI maps revealed 72 maser spots distributed in $\sim$110
au area around an expected stellar position. Circumstellar kinematics of the
maser spots were also revealed by subtracting a systemic motion in the
Hipparcos catalog from proper motions of each maser spots derived from our VLBI
observations. Infrared photometry is also conducted to measure a $K$ band
apparent magnitude, and we obtained a mean magnitude of $m_K$ =
1.19$\pm$0.02\,mag. Using the trigonometric distance, the $m_K$ is converted to
a $K$ band absolute magnitude of $M_K = -$7.34$\pm$0.06\,mag. This result gives
a much more accurate absolute magnitude of R~UMa than previously provided. We
solved a zero-point of $M_K - \log P$ relation for the Galactic Mira variables
and obtained a relation of $M_K = -$3.52 $\log P$ + (1.09 $\pm$ 0.14). Other
long period variables including red supergiants, whose distances were
determined from astrometric VLBI, were also compiled to explore the different
sequences of $M_K - \log P$ relation.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an