Partial Reduction and Delaunay/Deprit Variables

Published 23 Jan 2014 in math.DS | (1401.6068v2)

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.

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Lei Zhao

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