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

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

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..73..269b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 73, Issue 1/4, p. 269-280 (1999).

Astronomy and Astrophysics

Astronomy

Scientific paper

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.

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