The KS-transformation in hypercomplex form
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Publication:4747618
DOI10.1007/BF01358597zbMath0508.70006MaRDI QIDQ4747618
Publication date: 1983
Published in: Celestial Mechanics (Search for Journal in Brave)
hypercomplex numbersKepler motionregularizing transformationgeneralization of Levi-Civita transformationmorphism of real algebra of quaternionsquaternion and its anti-involutequaternion gauge-transformation
Related Items (18)
The KS-transformation revisited ⋮ The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem ⋮ Regular quaternion models of perturbed orbital motion of a rigid body in the Earth's gravitational field ⋮ Quaternion methods and models of regular celestial mechanics and astrodynamics ⋮ The theory of asynchronous relative motion. II: Universal and regular solutions ⋮ Linearization: Laplace vs. Stiefel ⋮ Geometrical and physical outlook on the cross product of two quaternions ⋮ Perturbed spatial two-body problem: regular quaternion equations of relative motion ⋮ Iterative solution to perturbed Kepler problem via Kustaanheimo-Stiefel equation ⋮ Additive functionals and operators on a quaternionic Hilbert space ⋮ On the connection among three classical mechanical problems via the hypercomplex KS-transformation ⋮ The Kepler problem: the energy point, the Levi-Civita, the Burdet and the KS regularizations via the primigenial sphere ⋮ Kustaanheimo-Stiefel transformation with an arbitrary defining vector ⋮ Quaternions for regularizing celestial mechanics: The right way ⋮ The Kepler problem: A unifying view ⋮ Reduction and regularization of the Kepler problem ⋮ The Kepler problem spinor regularization and pre-quantization of the negative-energy manifold ⋮ PERTURBED KEPLER PROBLEM IN GENERAL RELATIVITY WITH QUATERNIONS
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