The evidence for a black hole located at the dynamical center of the Milky Way and identified with the unusual radio source, Sgr A ∗, is now very compelling. Proper motion and radial velocity surveys of stars clearly demonstrate the presence of a non-luminous concentration of 2.6 × 10 6 M ⊙ within a volume of radius ∼0.01 pc centered on Sgr A ∗. At present, the accretion rate onto this object is rather small, leading to a total accretion luminosity at radio through far-IR wavelengths < 10 3 L ⊙. The accreted material apparently originates in the winds of nearby massive stars. However, neither the stellar nor the gaseous environments are static. The surrounding cluster of massive stars, most lying well within a parsec, is only a few million years old, and is destined to fade substantially within another 10 7 years. How did such a cluster form in the immediate and tidally stressed vicinity of a supermassive black hole? The circumnuclear disk of gas, which presently has an inner radius of 1 pc, seems destined to migrate inwards and eventually cause a much higher accretion rate onto Sgr A ∗, with a consequent flurry of new activity. Because the young stars and gas in the vicinity of the black hole interact with each other, the episodes of recurrent activity there can be described in terms of a limit cycle, which effectively controls the growth of the central black hole. In addition to describing the steps of this cycle, we identify several key observations which serve as potential clues to the past activity not only of our Galactic center, but to the activity of gas-rich nuclei in general.
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