Abstract

The angular size of the broad line region (BLR) of the nearby active galactic nucleus NGC 3783 has been spatially resolved by recent observations with VLTI/GRAVITY. A reverberation mapping (RM) campaign has also recently obtained high quality light curves and measured the linear size of the BLR in a way that is complementary to the GRAVITY measurement. The size and kinematics of the BLR can be better constrained by a joint analysis that combines both GRAVITY and RM data. This, in turn, allows us to obtain the mass of the supermassive black hole in NGC 3783 with an accuracy that is about a factor of two better than that inferred from GRAVITY data alone. We derive MBH = 2.54−0.72+0.90 × 107 M⊙. Finally, and perhaps most notably, we are able to measure a geometric distance to NGC 3783 of 39.9−11.9+14.5 Mpc. We are able to test the robustness of the BLR-based geometric distance with measurements based on the Tully–Fisher relation and other indirect methods. We find the geometric distance is consistent with other methods within their scatter. We explore the potential of BLR-based geometric distances to directly constrain the Hubble constant, H0, and identify differential phase uncertainties as the current dominant limitation to the H0 measurement precision for individual sources.

Highlights

  • Trigonometry is the basis of distance measurements

  • Gravity Collaboration (2021, hereafter, GC21) reported a broad line region (BLR) mean angular radius of about 70 μas, and the reverberation mapping (RM)-measured time lag can be reproduced with the measured continuum light curve and the best-fit BLR model inferred only from GRAVITY data at an assumed DA = 38.5 Mpc

  • ΘBLR is the angular radius of the BLR, which is mainly constrained by the differential phase of GRAVITY data

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Summary

Introduction

Trigonometry is the basis of distance measurements. The parallax method uses the motion of the Earth around the Sun to measure the angular displacement of a nearby star (Bessel 1838). For detached eclipsing binary stars, the linear size of each component can be measured from photometric and spectroscopic monitoring, while the angular size of each star can be derived from its empirical relation with the color of the star (Lacy 1977) This method has been used to measure the distance to the Large Magellanic Cloud with high accuracy (Pietrzynski et al 2019). Gravity Collaboration (2021, hereafter, GC21) reported a BLR mean angular radius of about 70 μas, and the RM-measured time lag can be reproduced with the measured continuum light curve and the best-fit BLR model inferred only from GRAVITY data at an assumed DA = 38.5 Mpc. In this paper, we construct a Bayesian model to fit the GRAVITY and RM data simultaneously

GRAVITY interferometer and reverberation mapping observations
Light curve modeling
Bayesian inference
BLR model inference
Distance and peculiar velocity of NGC 3783
Peculiar velocity of NGC 3783
Comparison with other distance measures
Method description
Statistical and systematic uncertainties
Toward a new estimate of the Hubble constant
Conclusions
Constraining the BLR outer radius
The nonlinear response of RM
Findings
Measuring the light curve using the decomposition method
Full Text
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