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2013
Impact Factor

Lei Zhao

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

Publications:

Zhao L.
Kustaanheimo–Stiefel Regularization and the Quadrupolar Conjugacy
2015, vol. 20, no. 1, pp.  19-36
Abstract
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
DOI:10.1134/S1560354715010025

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