I just finished this book, which was a bestseller in China and recently won the Hugo for Best Novel (in a year somewhat marred by the Sad/Rabid Puppy mess, though this book was not on the Puppy slate). I don't have a lot to add to
James Nicoll's review, which I largely agree with, except to say that even the more "modern" elements of the book read
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(I suppose you could argue that the fourth body is small enough that we can neglect it in modeling the interactions of the stars, and treat it as a body in a varying background potential... but if they're truly chaotic, I suppose that is not true.)
The complaint that bothers me more (and that Nick Alcock is currently echoing over on my Google+ post about this) is that the Alpha/Proxima Centauri system, while it has three stars, just isn't anything like that.
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