Exercise 2: The Center of Mass

The approximate mass of Sirius A is 2.1 solar masses and that of Sirius B is about 1.0 solar masses. If the total separation between Sirius A and Sirius B at a particular time is 20 AU, what is the distance of each star from the center of mass for the system? You may find it helpful to use this Center of Mass Calculator.

If the total mass of the Sirius binary is 3.2 solar masses and the period for rotation is 50.1 years, what is the mean separation in AU for the two stars (the length of the semimajor axis). The Kepler's Laws Calculator may be useful for this problem.

The Solutions