Nice, problems that have 12,000 possible solutions are my favourite.

Whew, now the Trisolarans won’t need to attack us.

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.