English

Partial Reduction and Delaunay/Deprit Variables

Dynamical Systems 2015-06-18 v2

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.

Cite

@article{arxiv.1401.6068,
  title  = {Partial Reduction and Delaunay/Deprit Variables},
  author = {Lei Zhao},
  journal= {arXiv preprint arXiv:1401.6068},
  year   = {2015}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-22T02:53:22.968Z