The Levi-Civita, KS and Radial-Inversion Regularizing Transformations

DOI10.1007/3-540-48009-9_2zbMath1046.83010OpenAlexW1824572438MaRDI QIDQ4460126

Alessandra Celletti

Publication date: 18 May 2004

Published in: Singularities in Gravitational Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-48009-9_2

zbMATH Keywords

two-body problemLevi-CivitaKustaanheimo-Stiefelradial-inversion regularizing transformations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (6)

Quaternions and the perturbed Kepler problem ⋮ Examples of integrable and non-integrable systems on singular symplectic manifolds ⋮ Integrability of close encounters in the spatial restricted three-body problem ⋮ Analytical and numerical results on families of \(n\)-ejection-collision orbits in the RTBP ⋮ The Kepler problem: the energy point, the Levi-Civita, the Burdet and the KS regularizations via the primigenial sphere ⋮ Global regularization of the restricted problem of three bodies

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