A doomed system?

[Roqinn]

I just came across this binary system with a single gas giant. As you can see, the orbits come close to one another. Do you think this is a doomed system? Maybe the stars swap the gas giant now and then? It might be interesting to find out.

 

[Draco25240]

I could be wrong, but I don't think they will collide or even get close to eachother, and even if they would, they probably would have done it already. Binary orbits around a common barycenter (center of the mass distribution between the two objects) have a special property, you can always draw a single straight line from one object, through the barycenter, and it will always hit the other object. So when the star is on one side, the other star will be on the other side, no exceptions, thus preventing a collision. Not 100% sure exactly why/how it works though (the orbits drag the system as a whole around at speed, making them act like that if viewed from the same velocity as the system in going?) Then again, I could be wrong and remember this incorrectly, but that's my understanding of it.
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