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A Family of Integrable Perturbed Kepler Systems
Russian Journal of Mathematical Physics ( IF 1.4 ) Pub Date : 2019-09-03 , DOI: 10.1134/s1061920819030117
A. Odzijewicz , A. Sliżewska , E. Wawreniuk

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.

中文翻译:

一类可积扰动开普勒系统

在扭转空间的Poisson几何框架中,我们考虑了一系列摄动的3维开普勒系统。我们证明了这些系统的汉密尔顿方程可以积分为积分。根据雅可比椭圆函数,明确给出了它们对某些子情况的解决方案。
更新日期:2019-09-03
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