Generating Families in the Restricted Three-Body Problem (Hardcover, 1997 ed.)

The classical three-body problem is of great importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. Here the author explains and organizes this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations. Many cases are distinguished and studied separately and detailed recipies are given. Their use is illustrated by determining generating families, and comparing them with numerical computations for the Earth+Moon and Sun-Jupiter systems.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Physics Monographs, 52
Release date:	November 1997
First published:	1997
Authors:	Michel Henon
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	280
Edition:	1997 ed.
ISBN-13:	978-3-540-63802-5
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics
LSN:	3-540-63802-4
Barcode:	9783540638025

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