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5. Two bodies of mass m and 3m, respectively, are in circular orbits around their common...

5. Two bodies of mass m and 3m, respectively, are in circular orbits around their common center of mass. The maximum separation of the two bodies is a.

(a) Draw their orbital paths, in the rest frame of their center of mass. Label the center of mass.

(b) What is the gravitational potential energy of this system?

(c) What is the sidereal period of the body with mass m?

(d) What is the sidereal period of the body with mass 3m?

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