A binary star consists of two stars that orbit about a fixed point C, as shown below.
The star of mass 
has a circular orbit of radius 
, and the star of mass 
has a circular orbit of radius 
. Both stars have the same angular speed 
, about C. The stars orbit each other in a time of 
(
).
Show that the ratio of the masses of the stars is given by the expression
The ratio 
is equal to 
and the separation of the stars is 
. Calculate the radii and .
and 
respectively.
