Iterative solution to perturbed Kepler problem via Kustaanheimo-Stiefel equation

DOI10.1023/A:1008308709971zbMath1468.70005OpenAlexW1630972955MaRDI QIDQ2229677

Jan Vrbik

Publication date: 18 February 2021

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

Full work available at URL: https://doi.org/10.1023/a:1008308709971

zbMATH Keywords

perturbed Kepler problemquaternionKustaanheimo-Stiefel regularization

Mathematics Subject Classification ID

Two-body problems (70F05)

Cites Work

• Unnamed Item
• Novel analysis of tadpole and horseshoe orbits
• The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem
• Perturbed Kepler problem in quaternionic form
• Resonance formation of Kirkwood gaps and asteroid clusters
• The KS-transformation in hypercomplex form

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