![]() It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. ![]() ![]() The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. ![]()
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March 2023
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