Problem Set on Binary Systems: 1.Consider two stars in orbit about a mutual center of mass. If al is the semimajor axis of the orbit of star of mass m, and a, is the semimajor axis of the orbit of star of mass m2, prove that the semimajor axis of the orbit of the reduced mass is given by a = a; + a2. points)

Problem Set on Binary Systems: 1.Consider two stars in orbit about a mutual center of mass. If al is the semimajor axis of the orbit of star of mass m, and a, is the semimajor axis of the orbit of star of mass m2, prove that the semimajor axis of the orbit of the reduced mass is given by a = a; + a2. points)