A nearby, rich cluster of galaxies is approximately 90 Mpc from Earth and has a diameter of about 6 Mpc. It’s radial velocity dispersion is 977 km/s.
a) Estimate how long a galaxy in this cluster would take to travel from one side of the cluster to the other. (Hint: assume that the galaxy moves with a constant speed equal to the cluster radial velocity dispersion)
b) How does the answer from (a) compare with the Hubble time, tH?
c) What can you conclude about whether galaxies in this cluster are gravitationally bound?
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