In these cases, would each star orbiter each other and the planet have an elliptical orbit around both them or would be other type of arrangements like the planet doing an eight shaped orbit between both stars?

[–] antonim@lemmy.dbzer0.com 1 points 1 day ago

At least intuitively it seems to me that 8-shaped paths would be extremely unlikely and unstable. Wikipedia describes two types of orbits:

So the planet can orbit both stars elliptically, or just one of them - but the latter can be the case only when the other star is a dwarf that can't affect the planet too much.