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Let us assume that our galaxy consists of stars each of one solar mass. How long will a star at a distance of ly from the galactic centre take to complete one revolution? Take the diameter of the Milky Way to be .

Mass of our galaxy is given as solar mass

1 Solar mass as we know is, Mass of Sun

Mass of our galaxy as we know is

Radius of Milky Way is

So,

The following relation gives the time it takes for a star to circle around the galactic centre,

years

years