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You observe a star orbiting the massive object at the galactic center at a speed of...

  1. You observe a star orbiting the massive object at the galactic center at a speed of 1300 km/s in a circular orbit with a radius of 19 light-days. Calculate the mass of the object the star is orbiting. Enter in solar masses.
  2. Stars in the outskirts of a globular cluster are about 43 light years from the cluster's center, and orbit at speeds of about 9 km/s. How massive is this cluster?
    (answer in solar masses)
  3. A star in the Milky Way that is about 35 percent of the way out from the center of the galaxy has an orbital distance of 17.5 thousand light years and an orbital velocity of 216 km/s. What is the mass of the galaxy inside this star's orbital radius? Enter in solar masses.

  4. You independently measure that the mass of the normal matter inside the radius of the above star is 9.84×109 solar masses. What is the fraction of dark matter in the galaxy inside this star's orbital radius?

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