I would LOVE to see anyone actually construct that wacked-out orbit in a simulator.

You know there are java-based gravitational simulators on line, right? Where you can create worlds, assign masses and starting velocities, and then run the simulation? I've spent a few pleasant hours playing with one or two myself.

I can tell you right now...that orbit is impossible if only the primary is gravitationally involved. The only way close to it is if you have some massive object also orbiting the primary, and at a resonance period. An unlikely condition to appear randomly; you'd practically have to build it intentionally, and even then I'd doubt the long-term stability.