Measurement of an Active Galactic Nucleus Central Mass on Centiparsec Scales: Results of Long‐Term Optical Monitoring of Arp 102B

The optical spectrum of the broad-line radio galaxy Arp 102B has been monitored for more than thirteen years to investigate the nature of the source of its broad, double-peaked hydrogen Balmer emission lines. The shape of the lines varied subtly; there was an interval during which the variation in the ratio of the fluxes of the two peaks appeared to be sinusoidal, with a period of 2.16 years and an amplitude of about 16% of the average value. The variable part of the broad H-alpha line is well fit by a model in which a region of excess emission (a quiescent ``hot spot'') within an accretion disk (fitted to the non-varying portion of the double-peaked line) completes at least two circular orbits and eventually fades. Fits to spectra from epochs when the hot spot is not present allow determination of the disk inclination, while fits for epochs when it is present provide a measurement of the radius of the hot spot's orbit. From these data and the period of variation, we find that the mass within the hot spot's orbit is 2.2 +0.2/-0.7 times 10^8 solar masses, within the range of previous estimates of masses of active galactic nuclei. Because this mass is determined at a relatively small distance (~1000 AU) from the central body, it is extremely difficult to explain without assuming that a supermassive black hole lies within Arp 102B. The lack of any systematic change in the velocity of the blue peak over time yields a lower limit on the combined mass of the two bodies in a binary black hole model like that of Gaskell (1983) of 10^10 solar masses.