The Integral Manifolds of the Three Body Problem Christopher Keil McCord

ISBN: 9780821806920

Published: January 1st 1998

Hardcover

92 pages


Description

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

The Integral Manifolds of the Three Body Problem by Christopher Keil McCord
January 1st 1998 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 92 pages | ISBN: 9780821806920 | 7.56 Mb

The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energy, centre of mass, linear and angular momentum fixed defines an eight dimensional manifold. For fixed nonzero angular momentum,MoreThe phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energy, centre 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.



Enter the sum





Related Archive Books



Related Books


Comments

Comments for "The Integral Manifolds of the Three Body Problem":


biurokrolewnypiki.pl

©2010-2015 | DMCA | Contact us