Chapter 13, Problem 13.64P

(a)

To determine

To show: The ratio of the orbital radii of the two stars equals the reciprocal of the ratio of their masses.

(b)

To determine

To show: That two stars have the same orbital period around their center of mass and the orbital period of the star is $T=\frac{2\pi {\left(R_1+R_2\right)}^{\frac{3}{2}}}{\sqrt{\left(M_1+M_2\right)G}}$.

(c)

To determine

The masses of each of the two stars.

(d)

To determine

The radius of each object’s orbit and orbital speed of each object.