Abstract
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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Varadi, F., Ghil, M. & Kaula, W.M. Mass-Weighted Symplectic Forms for the N-Body Problem. Celestial Mechanics and Dynamical Astronomy 72, 187–199 (1998). https://doi.org/10.1023/A:1008374927645
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DOI: https://doi.org/10.1023/A:1008374927645