6. Nearby Stars (6 pts.) Alpha Centauri A and B are the second and third closest stars to the Sun. They orbit each other every 79.91 yr, and their average separation is 23.4 AU. Calculate their combined mass in units of solar masses. (Make sure your answer makes sense.)
The two stars are roughly the same mass. Describe where the center of mass is for the two stars relative to their orbits. Is anything there? How is that different than planets orbiting the Sun?