Canonical coordinates for the planetary problem

DOI10.1007/S10440-014-9996-7zbMath1325.70003arXiv1407.5333OpenAlexW2024403080MaRDI QIDQ2346548

Gabriella Pinzari

Publication date: 2 June 2015

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5333

zbMATH Keywords

symmetriescanonical coordinatesplanetary problemDelaunay-Poincaré coordinatesDeprit's reduction of the nodesJacobi's reduction of the nodesKeplerian ellipsesperihelia reductionRPS variables

Mathematics Subject Classification ID

Celestial mechanics (70F15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (2)

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem ⋮ A first integral to the partially averaged Newtonian potential of the three-body problem

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