This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory. The three-body 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 three-body 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 three-bodies 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 half-a-century has revolutionized the study; now many answers have been found while new questions about the three-body 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 no-hair theorem, due to Hawking and his co-workers.
Publisher: Springer International Publishing AG
Number of pages: 173
Weight: 2934 g
Dimensions: 235 x 155 x 10 mm
Edition: 1st ed. 2016
"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 three-body 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)"Readers learn a vast amount about the history of astronomy while reading about the ubiquitous three-body problem; the presentation is done magnificently well-even without any mathematical equations! ... Numerous diagrams clearly reveal important concepts, and the portrait photos and sketches connect readers to the involved historical figures. There is a great, complete index ... . Summing Up: Recommended. Lower- and upper-division undergraduates; general readers." (F. Potter, Choice, Vol. 54 (4), December, 2016)