Abstract
The order of the chapters, and thus the framework of our treatment, reflects the fact that we have followed the traditional route; that is, to examine first the two-body problem and then the N-body problem. In abstract terms, it might appear more sensible to proceed backwards, from arbitrary N to the particular case N = 2. The fact is that the two problems, N = 2 and N > 2 are qualitatively and not just quantitatively different, and therefore the traditional route, beside not running against the ideal logical course, also appears more promising from the didactical point of view. The subject of the present chapter is thus the problem of the motion of N pointlike masses, interacting among themselves through no other forces than their mutual gravitational attraction according to Newton’s law.
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