If a visual binary system were to have two equal-mass stars, how would they be located relative to the center of the mass of the system?
The center of mass would be located at a point of an equilateral triangle formed by the center of mass and the two stars.The center of mass would be at the center of one of the stars. The center of mass would be directly between the two stars.
What would you observe as you watched these stars as they orbited the center of mass, assuming very circular orbits, and assuming the orbit was face on to your view?
One star would follow the shape of an ellipse, with the other star at the focus of the ellipse.The two stars would both follow the shape of the same circle, with the center of the circle at the third point of an equilateral triangle formed by that point and the two stars. The two stars would both follow the shape of the same perfect circle, with the stars opposite from one another and the center directly between the two stars.