About this book
Introduction
This book, written for a general readership, reviews and explains the threebody problem in historical context reaching to latest developments in computational physics and gravitation theory. The threebody problem is one of the oldest problems in science and it is most relevant even in today’s physics and astronomy.
The long history of the problem from Pythagoras to Hawking parallels the evolution of ideas about our physical universe, with a particular emphasis on understanding gravity and how it operates between astronomical bodies. The oldest astronomical threebody problem is the question how and when the moon and the sun line up with the earth to produce eclipses. Once the universal gravitation was discovered by Newton, it became immediately a problem to understand why these threebodies form a stable system, in spite of the pull exerted from one to the other. In fact, it was a big question whether this system is stable at all in the long run.
Leading mathematicians attacked this problem over more than two centuries without arriving at a definite answer. The introduction of computers in the last halfacentury has revolutionized the study; now many answers have been found while new questions about the threebody problem have sprung up. One of the most recent developments has been in the treatment of the problem in Einstein’s General Relativity, the new theory of gravitation which is an improvement on Newton’s theory. Now it is possible to solve the problem for three black holes and to test one of the most fundamental theorems of black hole physics, the nohair theorem, due to Hawking and his coworkers.
Keywords
Bibliographic information
 Book Title The Threebody Problem from Pythagoras to Hawking

Authors
Mauri Valtonen
Joanna Anosova
Konstantin Kholshevnikov
Aleksandr Mylläri
Victor Orlov
Kiyotaka Tanikawa
 DOI https://doi.org/10.1007/9783319227269
 Copyright Information Springer International Publishing Switzerland 2016
 Publisher Name Springer, Cham
 eBook Packages Physics and Astronomy Physics and Astronomy (R0)
 Softcover ISBN 9783319227252
 eBook ISBN 9783319227269
 Edition Number 1
 Number of Pages XI, 173
 Number of Illustrations 26 b/w illustrations, 70 illustrations in colour

Topics
Popular Science in Astronomy
Classical and Quantum Gravitation, Relativity Theory
Dynamical Systems and Ergodic Theory
Astrophysics and Astroparticles
Classical Mechanics
Mathematical Methods in Physics
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Reviews
“The authors of the book under review are able to popularize an exquisitely (in principle) mathematical topic in a very fascinating way, which will be of interest for those with mathematical knowledge as well. … The pleasant reading of the book will gently introduce the general reader to the mysteries of the threebody problem and its solutions and, with the authors, he will discover that ‘besides the practical interest, there is beauty in the solutions’.” (Salvatore Esposito, Mathematical Reviews, March, 2017)