Details

Autor(en) / Beteiligte

• Chierchia, Luigi
• Pinzari, Gabriella

Titel

Deprit’s reduction of the nodes revisited

Ist Teil von

• Celestial mechanics and dynamical astronomy, 2011-03, Vol.109 (3), p.285-301

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.