Generalized problem of two and four Newtonian centers

DOI10.1007/s10569-005-1557-yzbMath1129.70010arXivnlin/0503004OpenAlexW2075329049MaRDI QIDQ816893

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 2 March 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0503004

zbMATH Keywords

separation of variablesNewtonian potentialsphero-conical coordinatesspherical two (and four) centers problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

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Cites Work

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• Kepler's problem in constant curvature spaces
• Dynamics in spaces of constant curvature.
• Classification of motions for generalization of the two-center problem on a sphere
• Dynamical symmetries in a spherical geometry. I