The Three-Body Problem
Historically, the three-body problem is the most important problem of celestial mechanics and for about two centuries has also been the most extensively studied problem of the whole mathematical physics. In this chapter, we consider only the “classical” subjects, while the more “modern” ones (KAM theory, chaotic solutions, etc.) find their place in the Volume 2. Of course, we have tried to fashion the treatment of the subject in such a way that it seems quite natural to insert subsequent developments. It is very hard, indeed impossible, in so little room, to succeed in introducing all the main problems; therefore, we have made a choice, consistent with the general intention of the book. For the rest, we have endeavoured to provide the reader with the tools and the information necessary for continuing to study the subject in specialized books or original papers.
KeywordsManifold Peri Librium Rium Univer
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