Initial conditions for reaching the critical velocity

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The aim of this paper is to determine the initial rotational velocities required on the ZAMS for single stars to reach the critical velocity, sometimes called the break-up velocity, during the Main-Sequence (MS) phase. Some useful relations between $Ω/Ω_{\rm crit}$, $\upsilon/\upsilon_{\rm crit}$ ($\upsilon$ is the velocity at the equator), the moments of inertia, the angular momenta, the kinetic energy in the rotation and various other basic physical quantities are obtained.
12 pages, 9 figures, in Active OB-stars: Laboratories for Stellar and Circumstellar Physics, S. Stefl, S. Owocki, A. Okazaki (eds), ASP Conf. Series

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