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Russian Journal of Mathematical Physics

, Volume 26, Issue 3, pp 368–383 | Cite as

A Family of Integrable Perturbed Kepler Systems

  • A. OdzijewiczEmail author
  • A. SliżewskaEmail author
  • E. WawreniukEmail author
Article
  • 14 Downloads

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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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland

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