A complete closed form vectorial solution to the Kepler problem

DOI10.1007/S11012-007-9065-7zbMath1163.70311OpenAlexW2062699250MaRDI QIDQ1027862

Daniel Condurache, Vladimir Martinusi

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9065-7

zbMATH Keywords

Sundman transformationKepler problemclassical Mechanicsvectorial regularization

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

Related Items (1)

The Kepler problem: a concealed vector

Cites Work

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• Quaternions and the perturbed Kepler problem
• The Levi-Civita time transformation and a Killing vector for the Kepler problem
• The sum vector \(\mathbf S\) and the fictitious time \(s\) in the Kepler problem
• The Kepler problem: A unifying view
• A note on the Kepler problem
• Regularization of the two body problem
• A novel solution to Kepler s problem
• The general Kepler equation and its solutions
• Perturbation theory of Kepler motion based on spinor regularization.

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