Title : The Three-Body Problem

Author : Mauri Voltonen , Hannu Karttunen

University of Turku, Finland

Published in March 2006 by CAMBRIDGE UNIVERSITY PRESS

Address : The Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU, UK

Telephone : 01223 312393 Fax : 01223 315052

Internet : www.cambridge.org

ISBN : 0-521-85224-2 - 356 pages – hardback

PRICE : £ 48 US$

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. Poincaré'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. 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.

• Surveys statistical, as well as more traditional, methods in a systematic way • For the first time, provides solutions based on combining orbit calculations with semi-analytic methods • Essential reading for students in this rapidly expanding field