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Hi all, I am looking for a good book about the famous (infamous perhaps?) three body problem - both theoretical and numerical hardless and accomplishments.

can you help? Thanks

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    $\begingroup$ Should I suggest you begin with the two body problem? thetwobodyproblem.com $\endgroup$
    – Eleanor Von Hohlandsbourg
    Commented Jun 16, 2013 at 19:27
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    $\begingroup$ What about Jules et Jim, by Pierre-Henri Roché? (See fr.wikipedia.org/wiki/Jules_et_Jim_(roman) for more details.) $\endgroup$
    – ACL
    Commented Jun 16, 2013 at 20:47
  • $\begingroup$ Despite the title, the novel by Cixin Liu (tr. Ken Liu) is also unhelpful. $\endgroup$
    – dvitek
    Commented Dec 14, 2023 at 1:43
  • $\begingroup$ Maybe it is too much for your needs (and also ten years have passed), but why not give a chance to Yusuke Higher "Celestial mechanics" volume on that precise topic? $\endgroup$
    – Daniele Tampieri
    Commented Dec 28, 2023 at 17:08

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For the Restricted three-body problem, I suggest: Dynamical Systems, the Three-Body Problem and Space Mission Design By Marsden,Koon,Lo and Ross Available free at: www2.esm.vt.edu/~sdross/books

This book is a very nice compilation of results, proofs related to symbolic dynamics in the system, and numerical techniques for designing low energy trajectories. A great resource.

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If you want a more popular book, then

Florin Diacu & Philip Holmes: Celestial Encounters: The Origins of Chaos and Stability

is a must.

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