These don’t seem to be “solutions” in the sense of the conic section solutions to the 2 body interaction, but rather independent solutions found numerically. It’s not even mentioned whether the “solutions” have a workable closed form equation, or if it’s simply a series (Fourier-like) solution with a finite or non-finite number of terms with unique coefficients based on the initial conditions.

That’s not to say it isn’t interesting in its own right (periodic conditions within a 3 body system), but it’s not really a solution in the classical sense.