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Damn space.com, don’t forget to put some article in between the ads on your site
Damn, the article never actually defined what they meant by “mathematically perfect” :(
The first link leads to an older article that does explain it. What they mean is that the planets’ orbits are in resonance, which means that their orbital periods are related by integer ratios. (For example one planet completing exactly three orbits in the time it takes another to complete two)