Abstract
In the framework of the Poisson geometry of twistor space we consider a family of perturbed 3-dimensional Kepler systems. We show that Hamilton equations of these systems can be integrated in quadratures. Their solutions for some subcases are given explicitly in terms of Jacobi elliptic functions.
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To the memory of Mikhail Karasev
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Odzijewicz, A., Sliżewska, A. & Wawreniuk, E. A Family of Integrable Perturbed Kepler Systems. Russ. J. Math. Phys. 26, 368–383 (2019). https://doi.org/10.1134/S1061920819030117
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DOI: https://doi.org/10.1134/S1061920819030117