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Two stars M_1 and M_2 of equal mass make up a binary star system. They move...

Two stars M_1 and M_2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M_1=M_2=5.45 sm (solar mass), and the orbital period of each star is 2.70 days, find their orbital speed. (The mass of the sun is 1.99x10^30kg).

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Answer #1

The time period of binary stars is,

           

Rearrange the equation for distance r.

        

The seperation between two starts is

The orbital speed of the each start is,

     

      

      

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