The Lissajous transformation. IV: Delaunay and Lissajous variables

DOI10.1007/BF00051694zbMath0756.70017MaRDI QIDQ1186239

Carol A. Williams, André Deprit

Publication date: 28 June 1992

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsisotropic oscillatorsKeplerian systemsparabolic canonical transformation

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (6)

The extended Lissajous-Levi-Civita transformation ⋮ Linearization: Laplace vs. Stiefel ⋮ The Lissajous transformation. III: Parametric bifurcations ⋮ The Lissajous-Kustaanheimo-Stiefel transformation ⋮ Formation of the extreme Kuiper-Belt binary \(2001 \text{QW}_{322}\) through adiabatic switching of orbital elements ⋮ Normalization and the detection of integrability: The generalized van der Waals potential

Uses Software

• Mathematica

Cites Work

• The Lissajous transformation. I: Basics
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