The Three-Body Problem by Mauri Valtonen (English) Hardcover Book

Description: The Three-Body Problem by Mauri Valtonen, Hannu Karttunen How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincare's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. This book should be essential reading for students in a rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincares conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level. Author Biography Mauri Valtonen is a Professor of Astronomy at the University of Turku. Hannu Karttunen is a Systems Manager at Tuorla Observatory, University of Turku. Table of Contents 1. Astrophysics and three-body problem; 2. Newtonian mechanics; 3. Two-body problem; 4. Hamiltonian mechanics; 5. The planar restricted circular three body problem and other special cases; 6. Three-body scattering; 7. Escape in the general three body problem; 8. Scattering and capture in the general problem; 9. Perturbations in hierarchical systems; 10. Perurbations in strong three-body encounters; 11. Some astrophysical problems. Review ... covers a wide range of both theory and applications of an issue central to basic physics. ... In the first five chapters, the authors provide a classical mechanics course that goes well beyond the ordinary graduate textbooks. ... The authors main achievement is their coverage in the last five chapters of the many different applications in astrophysics in which one of the three bodies is much lighter than the other two. ... In The Three-Body Problem, readers will find the necessary theoretical ingredients and will also enjoy the great variety of technical explanations for phenomena in the solar system and beyond. The book would be useful for a graduate course in modern astrophysics and makes interesting reading for an amateur who has some background in classical mechanics. Physics Today ... a well-judged and fundamental book [on a] subject of permanent value. Celestial Mech. Dyn. Astr. Review Quote "This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level." Patricia Yanguas, Mathematical Reviews Promotional "Headline" This book surveys statistical and perturbation methods for the solution of the general three body problem. Description for Bookstore The book surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book is essential reading for students in this rapidly expanding field. Description for Library The book surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book is essential reading for students in this rapidly expanding field. Details ISBN0521852242 Author Hannu Karttunen Pages 345 Publisher Cambridge University Press Language English ISBN-10 0521852242 ISBN-13 9780521852241 Media Book Format Hardcover DEWEY 521 Illustrations Yes Year 2006 Publication Date 2006-03-31 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Birth 1945 Short Title 3-BODY PROBLEM DOI 10.1604/9780521852241 Audience Professional and Scholarly UK Release Date 2006-03-02 AU Release Date 2006-03-02 NZ Release Date 2006-03-02 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168655156;

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