Fig. 1.

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Collision time, tcoll, as a function of stellar mass, M⋆ (Eq. (1)), for three different values of the black hole number density, n•. The horizontal dot-dot-dashed purple and dark blue lines denote the collision times of 5 Myr and 55 Myr for the representative O and B stars of masses 50 M⊙ and 10 M⊙ (indicated by the vertical dotted brick-red lines), respectively, derived for n• = 2 × 108 pc−3. In all cases, the velocity dispersion is set to the orbital (circular) velocity around Sgr A⋆ at the representative distance of 0.015 pc from Sgr A⋆ and the mass-radius relation of Demircan & Kahraman (1991), R⋆ = 0.85 M⋆0.67, is assumed.
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