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- W3101779726 abstract "The partial reduction procedure of the rotational symmetry of the N-body problem means to only fix the direction of the total angular momentum, leaving the norm of the total angular momentum unfixed and the rotational symmetry around this direction unreduced. In this article, we present a conceptual link between this procedure, appearing as an intermediate step in the total reduction procedure of the rotational symmetry, with the symplectic cross-section theorem of Guillemin–Sternberg. As an application of this link, we present some alternative proofs of the symplecticity of the Delaunay and Deprit coordinates, which are important symplectic coordinates in the perturbative study of celestial mechanics." @default.
- W3101779726 created "2020-11-23" @default.
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- W3101779726 date "2014-10-01" @default.
- W3101779726 modified "2023-09-25" @default.
- W3101779726 title "Partial reduction and Delaunay/Deprit variables" @default.
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- W3101779726 doi "https://doi.org/10.1007/s10569-014-9584-1" @default.
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