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Canonical Variables of The Second Kind and The Reduction of The N-Body Problem
Published online by Cambridge University Press: 12 April 2016
Abstract
We introduce a new kind of canonical variables that prove very useful when the order of a Hamiltonian system can be reduced by one, as in the case of isoenergetic reduction, and of what we call homogeneous reduction. The Kepler Problem, Geometrical Optics and McGehee Blow-up are discussed as examples. Finally we carry out the isoenergetic reduction of the general N-Body Problem using the new variables, and briefly discuss its application to the problem of collision.
- Type
- Analytical and Numerical Tools
- Information
- International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 269 - 280
- Copyright
- Copyright © Kluwer 1999