The Kepler problem: the energy point, the Levi-Civita, the Burdet and the KS regularizations via the primigenial sphere

DOI10.1007/s10569-019-9932-2zbMath1451.70015OpenAlexW2988235685WikidataQ126796204 ScholiaQ126796204MaRDI QIDQ2005661

Maria Dina Vivarelli

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-019-9932-2

zbMATH Keywords

regularizationKepler problemmechanical energygeneral mechanicsprimigenial sphere

Mathematics Subject Classification ID

Two-body problems (70F05)

Cites Work

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• Quaternions and the perturbed Kepler problem
• The KS-transformation revisited
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• The Levi-Civita, KS and Radial-Inversion Regularizing Transformations
• The KS-transformation in hypercomplex form
• Theory of Orbits
• Perturbation theory of Kepler motion based on spinor regularization.
• Numerical stabilization of the differential equations of Keplerian motion