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Эта публикация цитируется в 22 научных статьях (всего в 22 статьях)
Kustaanheimo–Stiefel Regularization and the Quadrupolar Conjugacy
Lei Zhao Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands
Аннотация:
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.
Ключевые слова:
Kustaanheimo–Stiefel regularization, quaternions, symplectic reduction, secular systems, quadrupolar system.
Поступила в редакцию: 06.12.2013
Образец цитирования:
Lei Zhao, “Kustaanheimo–Stiefel Regularization and the Quadrupolar Conjugacy”, Regul. Chaotic Dyn., 20:1 (2015), 19–36
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd55 https://www.mathnet.ru/rus/rcd/v20/i1/p19
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