Galactic Dynamics. Imagine that you are an occupant of astrange, distant galaxy, living on a planet in a solar system 10kpc away from the galaxy's center. Looking along a galacticlongitude of I 25°, you determine the orbital velocity of a cloudto be v = all orbits to be circular. 250 km/s. Take (a) Youdetermine that this cloud is at the subcentral point-what is itsorbital radius? (b) What is the mass interior to the cloud's orbit?(c) Observations show that the density is constant in this galaxyout to your radius (10 kpc)-what orbital velocity? is your (d) Whatis the escape velocity for a star that shares your orbitalradius?
