I've recently said
you see one co-linear libration point, you seen 'em all. That's what I always say
and while halo and other orbits associated with Sun-Earth L1 and L2 work similarly, L3 is 2 AU away from Earth compared to 0.01 AU for the first two.
So I'd like to ask if there can be halo or Lissajous orbits associated with L3, and if not, are there any orbits associated with that point?
note: I'm asking about the general circular three body problem (CR3BP) so the two major bodies can have any ratio of masses. Answers don't need to be necessarily constrained to the Sun-Earth system.