Quaternions and the perturbed Kepler problem

DOI10.1007/s10569-005-5663-7zbMath1152.70303OpenAlexW1997477979MaRDI QIDQ850671

Jörg Waldvogel

Publication date: 6 November 2006

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

Full work available at URL: http://hdl.handle.net/20.500.11850/35973

zbMATH Keywords

Birkhoff transformationKustaanheimo-Stiefel regularizationPerturbed Kepler problemQuaternions

Mathematics Subject Classification ID

Two-body problems (70F05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

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• The KS-transformation revisited
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• Perturbed Kepler problem in quaternionic form
• The Levi-Civita, KS and Radial-Inversion Regularizing Transformations
• Perturbation theory of Kepler motion based on spinor regularization.