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 clockwise.tex ApJ, submitted
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%astro-ph/0601273

\documentclass[12pt,preprint]{aastex}

\begin{document}


\title{Clockwise Stellar Disk and the Dark Mass in the Galactic Center}

\author{Andrei M. Beloborodov\altaffilmark{1,2}, Yuri 
Levin\altaffilmark{3},
Genzel\altaffilmark{4,5},
         Thibaut Paumard\altaffilmark{4}, Stefan Gillessen\altaffilmark{4},
         Thomas Ott\altaffilmark{4}}
Columbia University, 538  West 120th Street New York, NY 10027}

Institute, Profsojuznaja 84/32, Moscow 117810, Russia}

\altaffiltext{3}{Leiden Observatory, PO Box 9513, NL-2300 RA, Leiden,
The Netherlands}

\altaffiltext{4}{Max-Planck Institut f\"ur extraterrestrische Physik 
(MPE),
Garching, Germany}

\altaffiltext{5}{Department of Physics, University of California, 
Berkeley,
CA 94720}


\begin{abstract}
Two disks of young stars have recently been discovered in the
Galactic Center. The disks are rotating in the gravitational field
of the central black hole at radii $r\sim 0.1-0.3$~pc and thus open
a new opportunity to measure the central mass. We find that the
observed motion of stars in the clockwise disk implies
$M=(4.3\pm 0.5)\times 10^6M_{\odot}$ for the fiducial distance to the
Galactic Center $R_0=8$~kpc and derive the scaling of $M$ with $R_0$.
As a tool for our estimate we use orbital roulette, a recently
developed method.  The method reconstructs the three-dimensional orbits
of the disk stars and checks the randomness of their orbital phases.
The clockwise-disk stars are found to have modest orbital eccentricities.
\end{abstract}

\keywords{ Galaxy: center ---
  galaxies: general --- stellar dynamics
}

\section{}

\end{document}