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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

John G. Bryant
John G. Bryant*
Affiliation:
47, avenue Felix Faure, 75015 Paris, France

Abstract

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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

References

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