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Imprecise language often results in a lot of misunderstanding
and "speaking past each other." . . . By the way, I am willing
to absolutely guarantee that you will not find a system like this
anywhere in this universe. First, it would require a perfect
realization of the initial conditions. Any single deviation, no
matter how minor from those conditions would entirely
obliterate any semblance of orbital perfection. Furthermore,
even if you could realize those perfect initial conditions (and
you couldn't), external perturbations would still entirely
obliterate the orbital perfection.