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Suppose that an instantaneous burst of star formation occurred at the Galactic Center, with half the stars being in binaries. As we are interested in the evolution of NS and BH in binaries, we consider only massive binaries, i.e. those having the primary component mass in the range of 10- and distributed according to the Salpeter's mass function with a power law exponent .35 . The initial mass ratio distribution (which is as yet a controversial issue) was taken in a power law form strongly favoring binaries with equal masses.
The total mass of stars formed during the starburst was about 4 (Tamblyn and Rieke, 1993). To get statistically significant results, the evolution of binary systems has been computed. Then we normalized the figures so as to be in agreement with the Tamblyn and Rieke (1993) calculations of the number of massive OB-stars that survive 6-8 Myr after the starburst (this age is supported below by an additional argument).