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math-ph2019★ 10 cited
The Lissajous-Kustaanheimo-Stiefel transformation
Slawomir Breiter, Krzysztof Langner
The Kustaanheimo-Stiefel transformation of the Kepler problem with a time-dependent perturbation converts it into a perturbed isotropic oscillator of 4-and-a-half degrees of freedo…
math-ph2017★ 16 cited
Kustaanheimo-Stiefel transformation with an arbitrary defining vector
Slawomir Breiter, Krzysztof Langner
Kustaanheimo-Stiefel (KS) transformation depends on the choice of some preferred direction in the Cartesian 3D space. This choice, seldom explicitly mentioned, amounts typically to…