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The Galactic center hosts a cluster with a characteristic velocity dispersion of ~ 5 5 km / s within the inner ~ 1 0 pc

The Galactic center hosts a cluster with a characteristic velocity dispersion of ~55 km/s within the inner ~10 pc. For a star at r=4 pc, how does this velocity compare with the circular velocity of an object around the central SMBH? A useful scaling relationship is that the gravitational radius corresponding to a solar mass is (GM_Sun \/c^2)=1.495 km. What does this imply for the majority of the kinetic energy of these stars?

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