The Three-Body Problem

Mauri Valtonen, Hannu Karttunen

346 pages, parution le 10/02/2006

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Résumé

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

L'auteur - Hannu Karttunen

Editor, University of Turku, Piikkoe, Finland

Sommaire

Preface
Astrophysics and the Three-Body Problem
Newtonian Mechanics
The Two-Body Problem
Hamiltonian Mechanics
The Planar Restricted Circular Three-Body Problem and Other Special Cases
Three-Body Scattering
Escape in the General Three-Body Problem
Scattering and Capture in the General Problem
Perturbations in Hierarchical Systems
Perturbations in Strong Three-Body Encounters
Some Astrophysical Problems
References
Author Index
Subject Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Mauri Valtonen, Hannu Karttunen
Parution	10/02/2006
Nb. de pages	346
Format	17,5 x 25,5
Couverture	Relié
Poids	868g
Intérieur	Noir et Blanc
EAN13	9780521852241
ISBN13	978-0-521-85224-1