Mauri Valtonen, University of Turku, Finland Hannu Karttunen, University of Turku, Finland
How do three celestial bodies move under their mutual gravitational attraction? This is a problem that has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusions that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time, such methods are presented in a systematic way. The book surveys statistical methods as well as more traditional methods and is suitable for students of celestial mechanics at advanced undergraduate level.
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