\documentstyle[paasms4,psfig]{preprint} \input pub.sty \newcommand{\Mo}{\mbox{$\rm M_\odot$}} \newcommand{\Lo}{\mbox{$\rm L_\odot$}} \newcommand{\mic}{\mbox{$\rm \mu m$}} \newcommand{\ivol}{\mbox{$\rm cm^{-3}$}} \newcommand{\isup}{\mbox{$\rm cm^{-2}$}} \newcommand{\isec}{\mbox{s$^{-1}$}} \newcommand{\Av}{\mbox{$A_{\rm V}$}} \newcommand{\Ne}{\mbox{$N_{\rm e}$}} \newcommand{\ten}[1]{\mbox{$10^{#1}$}} \newcommand{\xten}[1]{\mbox{$\times 10^{#1}$}} \newcommand{\wl}{\mbox{$\lambda$}} \newcommand{\forb}[2]{\mbox{$[{\rm #1\, #2}]$}} \newcommand{\ha}{\mbox{H$\alpha$}} \newcommand{\hb}{\mbox{H$\beta$}} \newcommand{\oiii}{\forb{O}{III}} \newcommand{\oii}{\forb{O}{II}} \newcommand{\oi}{\forb{O}{I}} \newcommand{\nii}{\forb{N}{II}} \newcommand{\sii}{\forb{S}{II}} \begin{document} \title{THE SUPERMASSIVE BLACK HOLE OF M87 AND\\ ~\\ THE KINEMATICS OF ITS ASSOCIATED GASEOUS DISK\/\thanks{Based on observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by AURA, Inc., under NASA contract NAS~5-26555 and by ST~ScI grant GO-3594.01-91A}} \author{F.~Macchetto,\thanks{Affiliated to the Astrophysics Division, Space Science Department, ESA.} A.~Marconi,\thanks{Dipartimento di Astronomia e Scienza dello Spazio, Universit\`a di Firenze, Largo E.~Fermi~5, I--50125, Italy.} D.~J.\ Axon\/\samethanks{2}\morethanks{On leave from the University of Manchester.}\\ \\ Space Telescope Science Institute\\ 3700 San Martin Drive\\ Baltimore, MD 21218\\ \and A.~Capetti\\ \\ Scuola Superiore di Studi Superiori Avanzati\\ Via Beirut 2-4\\ 34014 Trieste, Italy\\ \and W.~Sparks\\ \\ Space Telescope Science Institute\\ \and P.~Crane\\ \\ European Southern Observatory\\ Karl-Schwarzschild-Str. 2\\ D-85748 Garching bei M\"unchen, Germany} \pub{Astrophysical Journal} \recacc{21 April 1997}{16 June 1997} \maketitle \begin{abstract} \smallskip We have obtained long-slit observations of the circumnuclear region of M87 at three different locations, with a spatial sampling of 0\farcs028 using the Faint Object Camera f/48 spectrograph on board HST. These data allow us to determine the rotation curve of the inner $\sim1$\arcsec\ of the ionized gas disk in \oii\wl 3727 to a distance as close as 0\farcs07 ($\simeq5$~pc) to the dynamic center, thereby significantly improving on both the spatial resolution and coverage of previous FOS observations. We have modeled the kinematics of the gas under the assumption of the existence of both a central black hole and an extended central mass distribution, taking into account the effects of the instrumental PSF, the intrinsic luminosity distribution of the line, and the finite size of the slit. We find that the central mass must be concentrated within a sphere whose maximum radius is 0\farcs05 ($\simeq$3.5pc) and show that both the observed rotation curve and line profiles are consistent with a thin--disk in keplerian motion. We conclude that the most likely explanation for the observed motions is the presence of a supermassive black hole and derive a value of $M_{BH} = (3.2\pm 0.9)\xten{9}$~\Mo\ for its mass. \end{abstract}