We revisit a set of symplectic variables introduced by AndreDeprit (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, L., Pinzari, G. (2011). Deprit's reduction of the nodes revisited. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 109 (3), 285-301.
Deprit's reduction of the nodes revisited
CHIERCHIA, Luigi;
2011-01-01
Abstract
We revisit a set of symplectic variables introduced by AndreDeprit (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.File in questo prodotto:
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