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arXiv · 1401.6068

Partial Reduction and Delaunay/Deprit Variables

Lei Zhao
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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. 2014-01-23. Partial Reduction and Delaunay/Deprit Variables. https://doi.org/10.1007/s10569-014-9584-1

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