The Masses of StarsNote of caution about comparisons:When comparing two separate binary systemS of the same separation distance, the two stars in the binary system that has larger combined mass will move faster than the two stars in the binary system with less combined mass. The larger combinedmass binary has greater gravity force acting between the two stars. When comparing the two stars withina particular binary system, the larger mass star will move slower than the less massive star. The gravity force acting on the two stars withinthe binary is the same for both of the stars. The distancetravelled by an object = velocity× the timeit takes. The distance travelled by the star is just the circumference of the orbit = 2π× the radius of a circular orbit and something similar for an elliptical orbit. Therefore, each star's C.M.-distance r = the star's velocity × the star's orbital period / (2π). This allows you to use the easily measured velocity in Kepler's third law and in the center of mass relations.
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