ABSTRACT
The Megamaser Cosmology Project (MCP) seeks to measure the Hubble Constant (H0) in order to improve the extragalactic distance scale and constrain the nature of dark energy. We are searching for sources of H2O maser emission from active galactic nuclei with sub-pc accretion disks, as in NGC 4258, and following up these discoveries with very long baseline interferometric (VLBI) imaging and spectral monitoring. Here we present a VLBI map of the H2O masers toward UGC 3789, a galaxy well into the Hubble Flow. We have observed masers moving at rotational speeds up to 800 km s−1 at radii as small as 0.08 pc. Our map reveals masers in a nearly edge-on disk in Keplerian rotation about a 107 M☉ supermassive black hole. When combined with centripetal accelerations, obtained by observing spectral drifts of maser features (to be presented in Paper II), the UGC 3789 masers may provide an accurate determination of H0, independent of luminosities and metallicity and extinction corrections.
Export citation and abstract BibTeX RIS
1. INTRODUCTION
The current "concordance" cosmological model assumes a flat ΛCDM universe composed of baryons, cold dark matter, and "dark energy" that accelerates the expansion of the universe (Spergel et al. 2003). The location of the first peak in the angular power spectrum of the cosmic microwave background (CMB) radiation determines the angular-size distance to the surface of last scattering. This distance depends on the amount of dark energy and the geometry and current expansion rate of the universe, H0. If one does not assume that the universe is flat, the CMB data alone are consistent with a wide range of values of H0. Thus, independent measurements of H0 are needed to justify the flatness assumption and to determine whether dark energy is the cosmological constant, Λ, of general relativity, a variable "quintessence" (Wetterich 1988; Ratra & Peebles 1988), or possibly something else. Hu (2005) concludes that the most important single complement to CMB data would be a precise (e.g., ∼1% uncertainty) measurement of H0.
The current "best value" for the Hubble Constant, H0 = 72 ± 7kms−1Mpc−1 from the Hubble Space Telescope Key Project (Freedman et al. 2001), is based on luminosity distance measurements to extragalactic Cepheid variables treated as "standard candles." The 10% uncertainty in H0 is dominated by systematic errors that cannot easily be reduced by observations of more galaxies.
Very Long Baseline Array (VLBA) observations of the H2O megamaser in the nearby Seyfert 2 galaxy NGC 4258 have provided an accurate, angular-diameter distance to the galaxy (Herrnstein et al. 1999), bypassing the problems of standard candles. The H2O masers in NGC 4258 arise in a thin (annular) disk viewed nearly edge-on (Greenhill et al. 1995b) and appear at galactocentric radii R ≈ 0.14 to 0.28 pc. Maser lines near the systemic velocity of the galaxy come from gas moving across the sky on the near side of the disk, and "high-velocity lines," with relative velocities of up to V ≈ ±1100 km s−1, come from gas moving along the line of sight at the disk tangent points. The high-velocity lines display a Keplerian rotation curve, implying a central mass of ≈4 ×107 M☉, presumably in the form of a supermassive black hole (SMBH; Miyoshi et al. 1995).
For NGC 4258, the velocities of individual systemic features are observed to increase by ≈9 km s−1yr−1 (Haschick et al. 1994; Greenhill et al. 1995a), allowing a direct measurement of the centripetal acceleration (a = V2/R) of clouds moving across our line of sight near the nucleus (Watson & Wallin 1994). Conceptually, the angular-diameter distance, Dθ, to NGC 4258 can be determined geometrically by dividing the linear radius of masers, measured from Doppler shifts and accelerations (R ≈ V2/a), by their angular radius, measured from a Very Long Baseline Interferometric (VLBI) image (θR). Maser proper motions can be also be used to measure distance, but generally yield less accurate distances than using accelerations. Observations with the VLBA of the H2O masers in NGC 4258 have been carefully modeled, yielding the most accurate distance (Dθ = 7.2 ± 0.5 Mpc) to date for a galaxy (Herrnstein et al. 1999).
Unfortunately, NGC 4258 is too close to determine H0 directly (i.e., by dividing its recessional velocity of 475 km s−1 by its distance), since the galaxy's deviation from the Hubble flow could be a significant fraction of its recessional velocity. Instead, the measured distance to NGC 4258 has been used to anchor the zero point of the Cepheid period–luminosity relation (Newman et al. 2001; Macri et al. 2006; Argon et al. 2007; Humphreys et al. 2008). However, galaxies with edge-on, disk-like H2O masers, similar to those in NGC 4258, that are distant enough to be in the Hubble flow (D > 30 Mpc) could be used to measure H0 directly (Greenhill 2004).
Surveys of galaxies for nuclear H2O masers have been quite successful and have identified more than 100 extragalactic nuclear H2O masers (Claussen & Lo 1986; Braatz et al. 1996; Greenhill et al. 2002; Henkel et al. 2002; Greenhill et al. 2003; Braatz et al. 2004; Kondratko et al. 2006, 2006; Braatz & Gugliucci 2008). In order to coordinate efforts to find and image new sources of nuclear H2O masers, we formed a team of scientists active in this area of research from the Harvard–Smithsonian Center for Astrophysics, the National Radio Astronomy Observatory (NRAO), and the Max-Planck-Institut für Radioastronomie (MPIfR). This effort, called the Megamaser Cosmology Project (MCP), is aimed at measuring H0 directly, with ≈3% accuracy, using a combination of VLBI imaging and single-dish monitoring of nuclear H2O masers toward ∼10 galaxies.
Recently Braatz & Gugliucci (2008) discovered a relatively strong H2O maser (Sν ≈ 0.1 Jy) toward the Seyfert 2 nucleus of UGC 3789. The H2O maser spectrum has the characteristics of an edge-on disk similar to NGC 4258. The UGC 3789 masers span ≈1500 km s−1 in Doppler shift and the systemic masers were observed to accelerate by up to 8.1 km s−1 yr−1, suggesting an origin in a sub-pc disk about a ∼107 M☉ black hole.
In this paper, and in J. A. Braatz et al. (2009, in preparation) (hereafter Paper II), we report results leading to the first MCP measurement of H0. Sensitive VLBI observations and images of the nuclear H2O masers toward UGC 3789 are presented in this paper. In Paper II, we present monitoring observations with large single-dish telescopes, which yield accelerations of H2O masers. The combination of the VLBI imaging and the single-dish acceleration data may yield a measurement of H0 with an accuracy comparable to that of the Hubble Key Project.
2. OBSERVATIONS, CALIBRATION, AND IMAGING
We observed UGC 3789 on 2006 December 10 for a total of 12 hours, with the 10 NRAO4 VLBA antennas (under program BB227A), augmented by the Green Bank Telescope (GBT) and the Effelsberg 100 m telescope.5 The coordinates of the sources observed are listed in Table 1. We alternated between two observing modes: (1) a 60 min block of continuous tracking of UGC 3789 (self-calibration mode), and (2) a 45 min block of rapid switching between UGC 3789 and a nearby compact continuum source J0728+5907 (phase-referencing mode). The phase-referencing blocks were a "backup" in the event that the UGC 3789 maser signal was not strong enough for self-calibration. Both observing modes were successful. However, since the self-calibration mode produced a much higher on-source duty cycle and better phase calibration than the phase-referencing mode, we only report results from the total of ≈5 hr of self-calibration mode observations.
Table 1. Source Positions
Source | R.A. (J2000) (h m s) | Decl. (J2000) (d ' '') |
---|---|---|
UGC 3789 | 07 19 30.9566 | 59 21 18.330 |
J0728+5907 | 07 28 47.2170 | 59 07 34.128 |
J0753+5352 | 07 53 01.3846 | 53 52 59.637 |
Note. Positions used for data correlation. Imaging the UGC 3789 maser spot at VLSR = 2689 km s−1, by phase referencing to J0728+5907, we found the maser spot offset by (−1, − 15) mas (east, north) from the correlation position.
Download table as: ASCIITypeset image
With a maximum recording rate of 512 Mbits s−1, we could cover the entire range of detectable UGC 3789 H2O maser emission, but not with dual-polarization for all frequency bands. We centered 16 MHz bands at LSR velocities (optical definition) as follows: left circularly polarized (LCP) bands at 3880, 3710, 3265, 2670, and 2500 km s−1 and right circularly polarized (RCP) at 3880, 3265, and 2670 km s−1. The signals were sampled at the Nyquist rate (32 Mbits s−1) and with 2 bits per sample.
We placed "geodetic" blocks at the start and end of our observations, in order to solve for atmospheric and clock delay residuals for each antenna (Reid & Brunthaler 2004). In these blocks we rapidly cycled among 14 compact radio sources that spanned a wide range of zenith angles at all antennas. These data were taken in left circular polarization with eight 16 MHz bands that spanned 492 MHz of bandwidth between 22.00 and 22.49 GHz; the bands were spaced in a "minimum redundancy" manner to sample, as uniformly as possible, all frequency differences. The data were correlated, corrected for ionospheric delays using total electron content measurements (Walker & Chatterjee 2000), and residual multi-band delays and fringe rates were determined for all sources. The multiband delays and fringe rates were modeled as owing to a vertical atmospheric delay and delay-rate, as well as a clock offset and clock drift rate, at each antenna. Using a least-squares fitting program, we estimated zenith atmospheric path delays and clock errors with accuracies typically ≈1 cm and ≈0.03 ns, respectively.
We observed the strong continuum source, J0753+5352, hourly in order to monitor delay and electronic phase differences among and across the intermediate frequency (IF) bands. Generally, variations of phase across the VLBA bandpasses are small (less than 5°) across the central 90% of the band and thus we needed no bandpass corrections. We tested the effect of bandpass corrections, using the J0753+5352 data, and found position differences of ≈0.002 mas for maser features midway between the band center and band edge.
The raw data recorded at each antenna were cross-correlated with an integration time of 1.05 s at the VLBA correlation facility in Socorro, NM. For this short integration time we had to correlate the data in two passes in order to achieve sufficient spectral resolution (128 spectral channels for each IF band) without exceeding the maximum correlator output rate. Before calibration, the two correlation data sets were "glued" together.
We calibrated the data using the NRAO Astronomical Image Processing System (AIPS). First, we corrected interferometer delays and phases for the effects of diurnal feed rotation (parallactic angle) and for small errors in the values of the Earth's orientation parameters used at the time of correlation. By analyzing the data taken in phase-referencing mode, we determined that the strong maser feature at VLSR = 2689 km s−1, which we later used as the phase reference for the self-calibration mode data, was offset from the position of UGC 3789 used in the VLBA correlator by (−1, − 15) mas toward (east, north), respectively, relative to J0728+5907.
Since the VLBA correlator model includes no ionospheric delays, we used global total electron content models to remove ionospheric effects. We then corrected the data for residual zenith atmospheric delays and clock drifts, as determined from the geodetic block data. While we obtained good atmospheric/clock corrections for most antennas, insufficient data were obtained for the Effelsberg (EB) and Mauna Kea (MK) antennas for this task. Thus, we later used the data from the hourly observations of J0753+5352 to determine final delay corrections for the UGC 3789 data.
We corrected the interferometer visibility amplitudes for the few percent effects of biases in the threshold levels of the data samplers at each antenna. We also entered system temperature and antenna gain curve information into calibration tables. These tables were used later to convert correlation coefficients to flux densities. Next, we performed a "manual phase-calibration" to remove delay and phase differences among all bands. This was accomplished with data from one scan on a strong calibrator, 4C 39.25. We did not shift the frequency axes of the maser interferometer spectra to compensate for the Doppler shift changes during the ±5 hr UGC 3789 observing track, as these effects were less than our velocity resolution of 1.7 km s−1.
The final calibration involved selecting a maser feature as the interferometer phase-reference. The strongest maser feature in the spectrum peaked at ≈0.07 Jy and was fairly broad. We found that using five channels spanning an LSR velocity range of 2685 to 2692 km s−1 (i.e., channels 52 to 56 from the blueshifted high-velocity band centered at VLSR = 2670 km s−1), adding together both polarizations, and fitting fringes over a 1 min period gave optimum results. The St. Croix (SC) antenna failed to produce phase-reference solutions and data from that antenna were discarded. For most antennas at most times the phases could be easily interpolated between solutions. However, when the differences between adjacent reference phases exceeded 60°, the data between those times were discarded. This editing was done on baseline (not antenna) data, since correlated phases between antennas do not affect interferometer coherence.
After calibration, we Fourier transformed the gridded (u, v)-data to make images of the maser emission in all spectral channels for each of the five IF bands. The point-source response function had FWHM of 0.35 × 0.22 mas elongated along a position angle of −17° east of north. The images were deconvolved with the point-source response using the CLEAN algorithm and restored with a circular Gaussian beam with a 0.30 mas FWHM. All images appeared to contain single, pointlike maser spots. We then fitted each spectral channel image with an elliptical Gaussian brightness distribution in order to obtain positions and flux densities.
3. RESULTS AND DISCUSSION
Channel maps typically had rms noise levels of ≈0.9 mJy for the dual-polarized IF bands and ≈1.2 mJy for the single-polarization IF bands. The flux densities from the Gaussian fits for all spectral channels in all IF bands were used to generate the interferometer spectrum shown in Figure 1. When little signal was detected in a spectral channel, as evidenced by a failed fit or a spot size greater than 1 mas, we assigned that channel zero flux density.
The flux densities and positions determined by Gaussian fitting each spectral channel image are reported in Tables 2, 3 and 4 for maser spots stronger than 10 mJy. The positions of these spots are plotted in Figure 2. The nearly linear arrangement of the maser spots on the sky is striking. The redshifted and blueshifted high-velocity spots straddle the systemic emission complex. This spatial–velocity arrangement is characteristic of a nearly edge-on disk, as is well documented for NGC 4258 (Herrnstein et al. 2005).
Table 2. UGC 3789 Redshifted High-Velocity Spots
VLSR (km s−1) | Flux Density (mJy) | Θx (mas) | (mas) | Θy (mas) | (mas) |
---|---|---|---|---|---|
3912.3 | 11.5 | −0.737 | 0.009 | −0.827 | 0.013 |
3910.6 | 13.3 | −0.719 | 0.008 | −0.829 | 0.012 |
3908.9 | 12.0 | −0.725 | 0.009 | −0.834 | 0.013 |
3881.7 | 10.5 | −0.744 | 0.010 | −0.863 | 0.015 |
3880.0 | 11.0 | −0.760 | 0.010 | −0.868 | 0.014 |
3868.1 | 10.8 | −0.755 | 0.010 | −0.868 | 0.014 |
3866.4 | 13.3 | −0.757 | 0.008 | −0.874 | 0.012 |
3864.7 | 14.0 | −0.760 | 0.008 | −0.876 | 0.011 |
3863.0 | 13.6 | −0.765 | 0.008 | −0.884 | 0.011 |
3861.3 | 13.8 | −0.767 | 0.008 | −0.866 | 0.011 |
3761.0 | 13.2 | −0.940 | 0.011 | −1.098 | 0.015 |
3759.3 | 15.0 | −0.944 | 0.009 | −1.103 | 0.014 |
3757.6 | 18.1 | −0.947 | 0.008 | −1.098 | 0.011 |
3755.9 | 14.8 | −0.939 | 0.009 | −1.088 | 0.014 |
3754.2 | 10.3 | −0.959 | 0.014 | −1.101 | 0.020 |
3738.9 | 10.6 | −1.002 | 0.013 | −1.138 | 0.019 |
3737.2 | 10.0 | −0.986 | 0.014 | −1.132 | 0.020 |
3735.5 | 13.0 | −0.970 | 0.011 | −1.139 | 0.016 |
3660.7 | 12.0 | −1.197 | 0.012 | −1.516 | 0.017 |
Note. Columns 1 and 2 give the LSR velocity and flux density of maser spots in individual spectral channels. Columns 3 (5) and 4 (6) give the east (north) offsets and their uncertainties. Offsets are with respect to the phase reference obtained by summing the emission between velocities 2685 and 2692 km s−1.
Download table as: ASCIITypeset image
Table 3. UGC 3789 Systemic Velocity Spots
VLSR (km s−1) | Flux Density (mJy) | Θx (mas) | (mas) | Θy (mas) | (mas) |
---|---|---|---|---|---|
3316.0 | 10.1 | −0.412 | 0.010 | −0.502 | 0.015 |
3312.6 | 13.7 | −0.405 | 0.008 | −0.504 | 0.011 |
3310.9 | 24.1 | −0.413 | 0.004 | −0.488 | 0.006 |
3309.2 | 34.2 | −0.404 | 0.003 | −0.497 | 0.004 |
3307.5 | 31.6 | −0.409 | 0.003 | −0.498 | 0.005 |
3305.8 | 25.9 | −0.402 | 0.004 | −0.501 | 0.006 |
3304.1 | 31.1 | −0.404 | 0.003 | −0.496 | 0.005 |
3302.4 | 42.3 | −0.412 | 0.002 | −0.486 | 0.004 |
3300.7 | 56.4 | −0.406 | 0.002 | −0.489 | 0.003 |
3299.0 | 41.8 | −0.406 | 0.003 | −0.486 | 0.004 |
3297.3 | 35.7 | −0.404 | 0.003 | −0.489 | 0.004 |
3295.6 | 45.9 | −0.400 | 0.002 | −0.494 | 0.003 |
3293.9 | 36.4 | −0.402 | 0.003 | −0.483 | 0.004 |
3292.2 | 29.4 | −0.403 | 0.004 | −0.491 | 0.005 |
3290.5 | 17.7 | −0.404 | 0.006 | −0.505 | 0.009 |
3288.8 | 14.9 | −0.404 | 0.007 | −0.473 | 0.010 |
3287.1 | 10.8 | −0.400 | 0.010 | −0.487 | 0.014 |
3273.5 | 36.2 | −0.403 | 0.003 | −0.476 | 0.004 |
3271.8 | 40.1 | −0.402 | 0.003 | −0.477 | 0.004 |
3270.1 | 18.5 | −0.398 | 0.006 | −0.477 | 0.008 |
3268.4 | 11.2 | −0.405 | 0.009 | −0.487 | 0.014 |
3266.7 | 14.4 | −0.400 | 0.007 | −0.453 | 0.011 |
3263.3 | 12.2 | −0.402 | 0.009 | −0.483 | 0.013 |
3261.6 | 15.5 | −0.403 | 0.007 | −0.447 | 0.010 |
3259.9 | 13.9 | −0.404 | 0.008 | −0.442 | 0.011 |
3258.2 | 12.8 | −0.411 | 0.008 | −0.441 | 0.012 |
3256.5 | 11.3 | −0.424 | 0.009 | −0.436 | 0.014 |
3253.1 | 11.6 | −0.404 | 0.009 | −0.443 | 0.013 |
3251.4 | 10.9 | −0.403 | 0.010 | −0.447 | 0.014 |
3249.7 | 21.4 | −0.403 | 0.005 | −0.445 | 0.007 |
3248.0 | 21.3 | −0.399 | 0.005 | −0.426 | 0.007 |
3246.3 | 18.3 | −0.397 | 0.006 | −0.436 | 0.008 |
3244.6 | 21.9 | −0.387 | 0.005 | −0.429 | 0.007 |
3242.9 | 18.6 | −0.393 | 0.006 | −0.432 | 0.008 |
3239.5 | 12.8 | −0.396 | 0.008 | −0.430 | 0.012 |
3234.4 | 11.8 | −0.402 | 0.009 | −0.405 | 0.013 |
Note. See Table 2.
Download table as: ASCIITypeset image
Table 4. UGC 3789 Blueshifted High-Velocity Spots
VLSR (km s−1) | Flux Density (mJy) | Θx (mas) | (mas) | Θy (mas) | (mas) |
---|---|---|---|---|---|
2741.4 | 21.5 | 0.050 | 0.005 | 0.048 | 0.007 |
2739.7 | 15.2 | 0.036 | 0.007 | 0.043 | 0.010 |
2738.0 | 13.8 | 0.036 | 0.008 | 0.046 | 0.011 |
2736.3 | 22.8 | 0.032 | 0.005 | 0.024 | 0.007 |
2734.6 | 26.6 | 0.048 | 0.004 | 0.049 | 0.006 |
2721.0 | 14.2 | 0.072 | 0.007 | 0.055 | 0.011 |
2719.3 | 16.2 | 0.063 | 0.006 | 0.061 | 0.009 |
2717.6 | 13.4 | 0.057 | 0.008 | 0.043 | 0.011 |
2714.2 | 10.5 | 0.051 | 0.010 | 0.052 | 0.015 |
2712.5 | 10.4 | 0.055 | 0.010 | 0.039 | 0.015 |
2710.8 | 10.4 | 0.047 | 0.010 | 0.040 | 0.015 |
2709.1 | 11.2 | 0.027 | 0.009 | 0.008 | 0.014 |
2707.4 | 16.9 | 0.020 | 0.006 | 0.039 | 0.009 |
2705.7 | 24.1 | 0.018 | 0.004 | 0.028 | 0.006 |
2704.0 | 27.3 | 0.011 | 0.004 | 0.005 | 0.006 |
2702.3 | 31.1 | 0.009 | 0.003 | 0.014 | 0.005 |
2700.6 | 40.7 | 0.014 | 0.003 | 0.012 | 0.004 |
2698.9 | 50.7 | 0.016 | 0.002 | 0.011 | 0.003 |
2697.2 | 48.7 | 0.014 | 0.002 | 0.011 | 0.003 |
2695.5 | 42.7 | 0.009 | 0.002 | 0.015 | 0.004 |
2693.8 | 48.5 | 0.008 | 0.002 | 0.006 | 0.003 |
2692.1 | 55.8 | 0.002 | 0.002 | 0.008 | 0.003 |
2690.4 | 61.3 | 0.007 | 0.002 | 0.003 | 0.003 |
2688.7 | 68.8 | 0.000 | 0.002 | 0.003 | 0.002 |
2687.0 | 60.4 | 0.001 | 0.002 | 0.000 | 0.003 |
2685.3 | 48.4 | −0.003 | 0.002 | −0.010 | 0.003 |
2683.6 | 37.5 | −0.005 | 0.003 | −0.004 | 0.004 |
2681.9 | 27.5 | −0.004 | 0.004 | −0.011 | 0.006 |
2680.2 | 21.8 | −0.015 | 0.005 | −0.010 | 0.007 |
2678.5 | 13.3 | −0.005 | 0.008 | −0.025 | 0.012 |
2634.3 | 13.5 | −0.044 | 0.008 | −0.076 | 0.011 |
2632.6 | 15.1 | −0.047 | 0.007 | −0.058 | 0.010 |
2630.9 | 13.4 | −0.041 | 0.008 | −0.053 | 0.011 |
2617.3 | 29.0 | −0.071 | 0.004 | −0.084 | 0.005 |
2615.6 | 32.3 | −0.069 | 0.003 | −0.079 | 0.005 |
2613.9 | 34.4 | −0.080 | 0.003 | −0.086 | 0.004 |
2612.2 | 33.6 | −0.075 | 0.003 | −0.082 | 0.005 |
2610.5 | 23.9 | −0.065 | 0.004 | −0.084 | 0.006 |
2608.8 | 23.0 | −0.074 | 0.005 | −0.088 | 0.007 |
2607.1 | 12.6 | −0.068 | 0.008 | −0.100 | 0.012 |
2605.4 | 23.5 | −0.079 | 0.004 | −0.099 | 0.007 |
2603.7 | 13.0 | −0.080 | 0.008 | −0.112 | 0.012 |
2602.0 | 13.6 | −0.065 | 0.010 | −0.105 | 0.015 |
2590.1 | 10.4 | −0.074 | 0.013 | −0.089 | 0.020 |
2588.4 | 20.9 | −0.090 | 0.007 | −0.118 | 0.010 |
2586.7 | 12.8 | −0.103 | 0.011 | −0.136 | 0.016 |
2569.7 | 10.7 | −0.122 | 0.013 | −0.130 | 0.019 |
2568.0 | 20.2 | −0.120 | 0.007 | −0.141 | 0.010 |
2566.3 | 28.0 | −0.121 | 0.005 | −0.148 | 0.007 |
2564.6 | 23.7 | −0.116 | 0.006 | −0.157 | 0.009 |
2474.5 | 15.7 | −0.176 | 0.009 | −0.164 | 0.013 |
2472.8 | 23.7 | −0.182 | 0.006 | −0.189 | 0.009 |
Note. See Table 2.
Download table as: ASCIITypeset image
Download figure:
Standard image High-resolution imageWe calculated the position along the spot distribution (i.e., an impact parameter along position angle of 41° east of north) and show a position–velocity plot in Figure 3. The high-velocity masers display a Keplerian velocity () versus impact parameter (or radius), suggesting that the gravitational potential is dominated by a SMBH. The Keplerian velocity pattern is centered at VLSR ≈ 3265 km s−1. This is slightly offset from the central velocity of H i emission from the galaxy at VHelio ≈ 3325 ± 24 km s−1 (Theureau et al. 1998). (Note: VLSR − VHelio = 0.3 km s−1 for UGC 3789). Correcting the maser velocity to the CMB reference frame (i.e., VCMB ≈ VLSR + 60 km s−1), yields a recessional velocity of 3325 km s−1. Thus, for H0 = 72 km s−1 Mpc−1, UGC 3789's distance would be expected to be ≈46 Mpc.
Download figure:
Standard image High-resolution imageThe detected blueshifted high-velocity masers sample disk radii between 0.35 and 0.70 mas (0.08 to 0.16 pc) and achieve rotation speeds as high as 792 km s−1, with respect to a central systemic velocity of 3265 km s−1. The detected redshifted masers sample radii of 0.50 to 1.33 mas (0.11 to 0.30 pc) and achieve rotation speeds up to 647 km s−1. Also shown by the straight dotted lines in Figure 3 is the position–velocity distribution expected for systemic maser spots that lie at a radius of 0.43 mas from the central mass, whose assumed location is indicated by the plus sign (+) in the figure. These spatial-kinematic parameters are comparable to those of the H2O masers in NGC 4258, which sample radii of ≈0.14 to 0.28 pc and achieve rotation speeds of ≈1100 km s−1. The moderately lower rotation speed at a slightly smaller radius suggests that the SMBH at the center of UGC 3789 is less massive than the 3.9 × 107 M☉ SMBH in NGC 4258. At a distance of 46 Mpc, the high-velocity data for UGC 3789 can be well fit by gas in circular orbit about a central mass of 1.1 × 107 M☉, as shown by the blue and red dotted lines in Figure 3.
As can be seen in Figure 2, the systemic features lie between the high velocity features but are distributed along a position angle of roughly 10° (east of north). Thus, they are misaligned by approximately 30° with respect to the 41° position angle of the disk, obtained by drawing a line through the high-velocity masers. This suggests that the UGC 3789 disk may be slightly inclined and warped and/or that the systemic masers are not all at the same radius. (Note that the NGC 4258 disk is both inclined by 8° with respect to our line of sight and warped (Herrnstein et al. 2005).) Deviation from a perfectly flat, edge-on disk for UGC 3789 can also be seen in the position–velocity plot (Figure 3) as a slight bending of the systemic maser spots and in the variation in accelerations seen by Braatz & Gugliucci (2008). Modeling of the disk will need to accommodate these complications.
We searched for continuum emission from the vicinity of the SMBH (i.e., near the position of the systemic velocity masers) by summing channels five through 120 of the (redshifted) dual-circularly polarized band centered at VLSR = 3380 km s−1. We maximized the detection sensitivity by natural weighting of the data when imaging. The masers were detected at the expected position, offset by ≈1 mas from the position of the SMBH, but no continuum emission was detected at a 2σ limit of less than 0.14 mJy.
4. CONCLUSIONS
The discovery of H2O masers emanating from a sub-pc disk in the Seyfert 2 galaxy NGC 4258 more than two decades ago has led to detailed imaging of an active galactic nucleus accretion disk. Geometric modeling of the Keplerian orbits of the masers yielded the most accurate distance to any galaxy, allowing recalibration of the extragalactic distance scale. Now, the recent discovery by Braatz & Gugliucci (2008) of H2O masers in UGC 3789 offers the opportunity to extend this technique to a galaxy seven times more distant.
In this paper we presented VLBI images of the UGC 3789 H2O masers, which showed that these masers are remarkably similar to those in NGC 4258. In both sources, the spatial distribution is nearly linear, with high-velocity masers on both sides (both spatially and spectrally) of systemic velocity masers. The masers trace gas in Keplerian orbits with rotation speeds of ∼1000 km s−1 at radii of ∼0.1 pc, presumably moving under the influence of a ∼107 M☉ SMBH.
UGC 3789 has a recessional velocity of ≈3325 km s−1 and is well into the Hubble flow. The VLBI results presented in this paper will be followed by detailed spectral monitoring data and disk modeling in Paper II to determine the distance to UGC 3789. This angular-diameter distance, when combined with its recessional velocity, should yield a direct and accurate estimate of H0.
Facilities: VLBA, GBT, Effelsberg
Footnotes
- 4
The National Radio Astronomy Observatory is operated by Associated Universities, Inc., under a cooperative agreement with the National Science Foundation.
- 5
The Effelsberg 100 m telescope is a facility of the Max-Planck-Institut für Radioastronomie