Accumulated Tidal Heating of Stars Over Multiple Pericenter Passages
  Near SgrA*
  We consider the long-term tidal heating of a star by the supermassive black
hole at the Galactic center, SgrA*. We show that gravitational interaction with
background stars leads to a linear growth of the tidal excitation energy with
the number of pericenter passages near SgrA*. The accumulated heat deposited by
excitation of modes within the star over many pericenter passages can lead to a
runaway disruption of the star at a pericenter distance that is 4-5 times
farther than the standard tidal disruption radius. The accumulated heating may
explain the lack of massive ($\gtrsim 10M_{\odot}$) S-stars closer than several
tens of AU from SgrA*.
