Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.109..285c&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 109, Issue 3, pp.285-301
Astronomy and Astrophysics
Astronomy
1
Scientific paper
We revisit a set of symplectic variables introduced by Andre Deprit (Celest Mech 30, 181-195, 1983), which allows for a complete symplectic reduction in rotation invariant Hamiltonian systems, generalizing to arbitrary dimension Jacobi's reduction of the nodes. In particular, we introduce an action-angle version of Deprit's variables, connected to the Delaunay variables, and give a new hierarchical proof of the symplectic character of Deprit's variables.
Chierchia Luigi
Pinzari Gabriella
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