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The extended Lissajous-Levi-Civita transformation

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Publication:2203843
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DOI10.1007/S10569-018-9862-4zbMath1448.70013OpenAlexW2897370324MaRDI QIDQ2203843

Sławomir Breiter, Krzysztof Langner

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-018-9862-4


zbMATH Keywords

regularizationLissajous transformationperturbed Kepler problemLevi-Civita variables


Mathematics Subject Classification ID

Two-body problems (70F05)


Related Items (2)

Quaternion methods and models of regular celestial mechanics and astrodynamics ⋮ The Lissajous-Kustaanheimo-Stiefel transformation




Cites Work

  • Unnamed Item
  • Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
  • The Lissajous transformation. I: Basics
  • The Lissajous transformation. IV: Delaunay and Lissajous variables
  • Kustaanheimo-Stiefel regularization and the quadrupolar conjugacy
  • Some Collision Solutions of the Rectilinear Periodically Forced Kepler Problem
  • Averaging the planar three-body problem in the neighborhood of double inner collisions




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