Mass-Weighted Symplectic Forms for the N-Body Problem

Details Mass-Weighted Symplectic Forms for the N-Body Problem Mass-Weighted Symplectic Forms for the N-Body Problem

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..72..187v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 72, Issue 3, p. 187-199 (1998).

Astronomy and Astrophysics

Astronomy

1

Symplectic Form, Symplectic Mapping, Hamiltonian Formalism, Perturbation Theory, N-Body Problem

Scientific paper

Mass-weighted symplectic forms provide a unified framework for the treatment of both finite and vanishingly small masses in the N-body problem. These forms are introduced, compared to previous approaches, and their properties are discussed. Applications to symplectic mappings, the definition of action-angle variables for the Kepler problem, and Hamiltonian perturbation theory are outlined

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