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Lei Zhao

Groningen, The Netherlands
Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen


Zhao L.
Kustaanheimo–Stiefel Regularization and the Quadrupolar Conjugacy
2015, vol. 20, no. 1, pp.  19-36
In this article, we first present the Kustaanheimo–Stiefel regularization of the spatial Kepler problem in a symplectic and quaternionic approach. We then establish a set of action-angle coordinates, the so-called LCF coordinates, of the Kustaanheimo–Stiefel regularized Kepler problem, which is consequently used to obtain a conjugacy relation between the integrable approximating “quadrupolar” system of the lunar spatial three-body problem and its regularized counterpart. This result justifies the study of Lidov and Ziglin [14] of the quadrupolar dynamics of the lunar spatial three-body problem near degenerate inner ellipses.
Keywords: Kustaanheimo–Stiefel regularization, quaternions, symplectic reduction, secular systems, quadrupolar system
Citation: Zhao L.,  Kustaanheimo–Stiefel Regularization and the Quadrupolar Conjugacy, Regular and Chaotic Dynamics, 2015, vol. 20, no. 1, pp. 19-36

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