Question about orbital direction on binary systems I wonder if is possible to find a binary system in which one star is orbiting the center of mass in one direction and the latter orbiting in the opposite direction.
Would this transgress angular momentum conservation?
Stars don't &quot;orbit the centre of mass&quot;, they orbit each other.
What is true is that in a two-body system, the orbit of each star is an ellipse with the centre of mass at the focus.  What is not true is that the acceleration is towards the centre of mass.  There may be nothing at the centre of mass to attract!  The acceleration of each star is directed towards the other star. This is the &quot;law of gravity&quot;. So it is quite accurate to say &quot;Each star orbits the other star&quot;.
An orbit in which one star moves clockwise and the other moves anti-clockwise would break the law of gravity, because the acceleration would not be directed towards the other star.