Kepler motion on single-sheet hyperboloid


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The classical Kepler–Coulomb problem on the single-sheeted hyperboloid H31 is solved in the framework of the Hamilton–Jacobi equation. We have proven that all the bounded orbits are closed and periodic. The paths are ellipses or circles for finite motion.

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Yu. Kurochkin

B.I. Stepanov Institute of Physics

编辑信件的主要联系方式.
Email: yukuroch@bas-net.by
白俄罗斯, Minsk

V. Otchik

B.I. Stepanov Institute of Physics

Email: yukuroch@bas-net.by
白俄罗斯, Minsk

L. Mardoyan

Joint Institute for Nuclear Research; Yerevan State University

Email: yukuroch@bas-net.by
俄罗斯联邦, Dubna, Moscow oblast; Yerevan

D. Petrosyan

Joint Institute for Nuclear Research

Email: yukuroch@bas-net.by
俄罗斯联邦, Dubna, Moscow oblast

G. Pogosyan

Joint Institute for Nuclear Research; Yerevan State University; Departamento de Matematicas, CUCEI

Email: yukuroch@bas-net.by
俄罗斯联邦, Dubna, Moscow oblast; Yerevan; Guadalajara

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