Final answer:
The center of mass between two stars will be closer to the more massive star. With Star A having three times the mass of Star B, the center of mass would be located closer to Star A's position. Imagine a seesaw for easy visualization.
Step-by-step explanation:
When considering the center of mass between two objects, such as in a binary star system, it is essential to understand that the center of mass is closer to the more massive object. In this case, Star A has a mass of 3 M (three times the mass of Star B), and Star B has a mass of 1 M. Therefore, the center of mass will be closer to Star A.
The concept of the center of mass can be visualized by imagining a seesaw with two objects of different masses. The heavier object (Star A) must be closer to the pivot point for the seesaw to balance. As such, if we label the points between the two stars with letters, with 'A' denoting the position of Star A and 'B' denoting the position of Star B, the center of mass would clearly fall closer to the letter 'A', indicating Star A's position.