A body of mass M and a body of mass m \ll M are in circular orbits about their center of mass under the influence of their mutual gravitational attraction to each other. The distance between the bodies is R, which is much larger than the size of either body. A small amount of matter \delta m \ll m is removed from the body of mass m and transferred to the body of mass M. The transfer is done in such a way so that the orbits of the two bodies remain circular, and remain separated by a distance R. Which of the following statements is correct?
Answer Choices
A. The gravitational force between the two bodies increases.
B. The gravitational force between the two bodies remains constant.
C. The total angular momentum of the system increases.
D. The total angular momentum of the system remains constant.
E. The period of the orbit of two bodies remains constant.