Abstract

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 H2_2O maser spots in the LSR velocities ranges from 37 to 42 km\,s−1^{-1}. We derived an annual parallax of 1.97±\pm0.05\,mas, and it gives a corresponding distance of 508±\pm13\,pc. The VLBI maps revealed 72 maser spots distributed in ∼\sim110 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 KK band apparent magnitude, and we obtained a mean magnitude of mKm_K = 1.19±\pm0.02\,mag. Using the trigonometric distance, the mKm_K is converted to a KK band absolute magnitude of MK=−M_K = -7.34±\pm0.06\,mag. This result gives a much more accurate absolute magnitude of R~UMa than previously provided. We solved a zero-point of MK−log⁡PM_K - \log P relation for the Galactic Mira variables and obtained a relation of MK=−M_K = -3.52 log⁡P\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 MK−log⁡PM_K - \log P relation.

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