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East Asia VLBI WS, Mar, 2009 the LG Convention Hall at the Ewha Woman’s University, Seoul, Korea. 1. Astrometric Observations of Mira variables with VERA. A.Nakagawa ( 中川亜紀治 ) , D.Nyu, M.Matsui, T.Omodaka, H.Imai, S.Kameno (Kagoshima University), T.Kurayama (KASI),
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East Asia VLBI WS, Mar, 2009 the LG Convention Hall at the Ewha Woman’s University, Seoul, Korea 1 Astrometric Observations of Mira variables with VERA A.Nakagawa(中川亜紀治), D.Nyu, M.Matsui, T.Omodaka, H.Imai, S.Kameno (Kagoshima University), T.Kurayama (KASI), H.Kobayashi, K.M.Shibata (NAOJ), VERA Project Team
2 Outline • “Mira variables project” as a sub-project of VERA • Observations • Results & Discussion • Internal motions of masers • Parallax measurement • Tentative Galactic Mira PL-relation • Application of our result • Summary
3 PL relation of Miras in LMC LMC • Using apparent magnitudes PL relation of the Galactic Miras Milky Way Galaxy ? • Absolute magnitude obtained • with Hipparcos results • Large errors of distances Ita et al. 2004 PL relation of the Mira variables → Mk determination : Distance obtained with VERA → Calibration of a distance ladder
VERA HIPPARCOS VERA vs HIPPARCOS Advantage • HIPPARCOS D~100pc • VERA D~10kpc Observable Region with <10% Distance error.
5 π π π Observation, Data Reduction • Mira variables with H2O/SiO maser emission • O-rich AGB stars • Phase referencing VLBI monitoring • Wide period range to determine the PL-relation • Ideally, 100 – 1000 days → Actually, 215 days (VX UMa) – 654 days(AW Tau) • Bright phase : maser time variability • Parallax and linear motions (α, δ)→π、μα、μδ We extract parallax and two dimensional motions from multi-epoch data. PL-relation :100 – 1000 days α: Right Ascension of the source δ: Declination of the source r : Radius vector of the sun l : Celestial longitude of the sun ε: Obliquity of the ecliptic g : Mean anomaly of the sun π (μα, μδ)
6 Results S Crt 22GHz water maser • Pulsation Period = 155day • ΔmV = 0.8 • Semiregulra variable : SRa
7 Nakagawa et al.2008 Circumstellar masers of S Crt • Bipolar Outflow • Inclination angle of flow axis = 43° • Photosphere260±20R。 ~Lower limit of Mira size • Maser distribution 9~10AU VERA Pi = 2.33 mas err 0.13 mu_a -3.17 mas/yr err 0.22 mu_d -5.41 mas/yr err 0.22 HIPPARCOS Pi = 1.27 mas err 0.92 mu_a -3.37 mas/yr err 1.00 mu_d -4.67 mas/yr err 0.75
8 Parallax of S Crt (Semiregular : SRa) • Parallax 2.33±0.13 mas ↓ • Distance 430+25-23pc HIPPARCOS Parallax = 1.27 mas err 0.92 Nakagawa et al.2008
9 Parallax of SY Scl Nyu et al. 2009 (Submitted to PASJ) • Pulsation period411day π = 0.76 ± 0.03 [mas] Internal motions of maser spots around SY Scl +.047 [kpc] D = 1.319 - .043 (μx , μy) = (6.41 , -6.90 )[mas/yr]
(Us,Vs,Ws)=(-5.2±0.3,-53.8±2.1,-33.3±0.3)[km s] -1 10 SYScl 太陽
11 動径方向 Y-Z平面 X-Z平面 過去10億年のSY Sclと太陽の運動 (Gies & Helsel 2005) (Feast & Whitelock 1997) (Gies & Helsel 2005) (Stothers 1998) SY Scl ・Oscillation Amplitude (Z-direction) 1.5 kpc Thick Disk
12 R Uma, T Lep • Pulsation period 368d(LogP=2.57) • Parallax2.62±0.33mas (preliminary) • Distance381±48pc (preliminary) • Pulsation period301d (LogP=2.48) • Parallax 1.72±0.09mas (preliminary) R UMa
Very recent study of T Lep Central star 1AU (208R0) → 2.5AU (475R0) Molecular layer 2.5AU (520R0) → 5.7AU (1080R0)
13 Example : Phase Referenced Image • Y Lib • Period 276d • (LogP=2.44) • Peak = 280mJy/beam • WX Psc • Period660d • (LogP=2.82) • QSO phase-referened image • RX Boo • Period 340d (LogP=2.53) • Peak = 7Jy/beam J0113+13 RX Boo Y Lib
14 PL-relation of the Galactic Mira variables(preliminary, Weighted least-squares fit) • Source : SY Scl, T Lep, R UMa, S Crt* (* Semiregular) Mk = a*(LogP-P0) + b a = -3.73 +/- 0.53 b = -7.58 +/- 0.03 T Lep R UMa SY Scl S Crt (Nakagawa et al. in prep)
15 PL-relation of the Galactic Mira variables(preliminary, Weighted least-squares fit) • Source : SY Scl, T Lep, R UMa, S Crt* (* Semiregular) LMC: a = -3.520±0.034 (Ita et al. 2004)
16 Observation plan • VERA catalog (~300 Galactic sources) • Contains ~40 Mira variables • Monthly VLBI monitoring at 22GHz • Period coverage 215 – 654 day < 40 Mira variables > Y Cas, V524 Cas, omi Cet, IK Tau, R Tau, U Ori, GX Mon, S Gem, X Hya, VX UMa, T UMa, V2108 Oph, AH Oph, RW Lyr, R Aql, YZ Dra, RT Aql, BR Del, UU Peg, KZ Peg, R Cas, V Cam, U Lyn, R Cnc, IW Hya, R Leo, U Cvn, T Com, RU Hya, RS Vir, S Crb, S Ser, WX Ser, SW Lib, FS Lib, R Dra, IRC+10374, IRC-20540, R Peg, RY And
17 Now Observing ! VX UMa Y Lib RX Boo U Lyn AP Lyn Z Pup GX Mon T Lep R UMa SY Scl S Crt
18 Discussion < Difficulties in parallax determination > • Parallax measurement • Lifetime of maser emission : ~1month • Structure changes • Acceleration of maser emission • Apparent magnitude • Calibration for an extinction effect • Calibration of mk obtained with different optical system < Scientific application > • Calibration of the distance ladder • Distance estimator using SR & OH/IR star masers • Stellar evolution : SR → Mira ??? • Kinematics from revised HIPPARCOS catalog • Semiregular variables have masers
19 Summary • VERA astrometric observations of the Galactic Miras have started since 2003. • 2008: Parallax measurement of 4 sources • Bimodal morphorogy in S Crt • 3D-motion of SY Scl in the Galaxy • Tentative result of the Galactic Mira PL-relation • Application of the Galactic PL-relation