Partial Reduction and Delaunay/Deprit Variables
arXiv:1401.6068 · doi:10.1007/s10569-014-9584-1
Abstract
Based on a concept link between the partial reduction procedure of the reduction of the rotational symmetry of the N-body problem with the symplectic cross-section theorem of Guillemin-Sternberg, we present alternative proofs of the symplecticity of Delaunay and Deprit coordinates in celestial mechanics.
9 pages, 2 figures