Canonical Variables of the Second Kind and the Reduction of the N-Body Problem

Author: Bryant J.G.

Source: Celestial Mechanics and Dynamical Astronomy, Volume 73, Number 1-4, 1999 , pp. 269-280(12)

Publisher: Springer

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.

Language: English

Document Type: Regular paper

Affiliations: 1: 47, avenue Felix Faure, 75015 Paris, France

Publication date: 1999-01-01

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