2016/03/26 by Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan +2 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Bounded function #Ellipse #Hyperboloid #Kepler #Kepler problem #Kepler's laws of planetary motion #Mathematics and Applications #Motion (physics) #Quantum chaos and dynamical systems #Spacecraft Dynamics and Control #math-ph #math.MP
paper · pdf · doi:10.1134/s1063778817040147
published in Physics of Atomic Nuclei 80(4), 739-746 (Pleiades Publishing)
arxiv created 2016/03/26 · openalex created_date 2016/06/24 · openalex publication_date 2017/07/01 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05
The classical Kepler–Coulomb problem on the single-sheeted hyperboloid H 3 1 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.