The Integral Manifolds of the Three Body Problem

The Integral Manifolds of the Three Body Problem
Author :
Publisher : American Mathematical Soc.
Total Pages : 106
Release :
ISBN-10 : 9780821806920
ISBN-13 : 0821806920
Rating : 4/5 (20 Downloads)

Book Synopsis The Integral Manifolds of the Three Body Problem by : Christopher Keil McCord

Download or read book The Integral Manifolds of the Three Body Problem written by Christopher Keil McCord and published by American Mathematical Soc.. This book was released on 1998 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular momentum fixed defines an eight dimensional manifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to "critical points at infinity". This disproves Birkhoffs conjecture that the bifurcations occur only at central configurations.


The Integral Manifolds of the Three Body Problem Related Books

The Integral Manifolds of the Three Body Problem
Language: en
Pages: 106
Authors: Christopher Keil McCord
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular mo
The Restricted Three-Body Problem and Holomorphic Curves
Language: en
Pages: 381
Authors: Urs Frauenfelder
Categories: Mathematics
Type: BOOK - Published: 2018-08-29 - Publisher: Springer

DOWNLOAD EBOOK

The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobor
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 389
Authors: Kenneth R. Meyer
Categories: Mathematics
Type: BOOK - Published: 2017-05-04 - Publisher: Springer

DOWNLOAD EBOOK

This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, reade
Equadiff 99 (In 2 Volumes) - Proceedings Of The International Conference On Differential Equations
Language: en
Pages: 838
Authors: Bernold Fiedler
Categories: Mathematics
Type: BOOK - Published: 2000-09-05 - Publisher: World Scientific

DOWNLOAD EBOOK

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical sys
International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999
Language: en
Pages: 846
Authors: Bernold Fiedler
Categories: Differential equations
Type: BOOK - Published: 2000 - Publisher: World Scientific

DOWNLOAD EBOOK

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical sys