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
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.
If you want a more popular book, then
Florin Diacu & Philip Holmes: Celestial Encounters: The Origins of Chaos and Stability
is a must.