Fig. 1.

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Different timescales in years: the timescale for binary-single encounters given by Eq. (2) (dashed lines) and gravitational radiation inspiral given by Eq. (3) (solid lines), considering a variation in the gas mass fraction between ηg = 0.0, 0.1, 0.3, 0.5, 1.0, 10.0, with the lowest value in the dashed blue line and the highest value in the violet. We also employed different values of the speed of light, from c = 103 km/s (dashed brown line) to the real value of c = 3 × 105 km/s (solid dark line). The vertical lines show the velocity dispersion given by v∞ for different gas mass fractions.
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