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Classification of motions for generalization of the two-center problem on a sphere

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Publication:1841532
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DOI10.1023/A:1008327007705zbMath0978.70016OpenAlexW1528387398MaRDI QIDQ1841532

T. G. Vozmishcheva

Publication date: 18 February 2001

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

Full work available at URL: https://doi.org/10.1023/a:1008327007705


zbMATH Keywords

regularizationKepler problemintegrals of motionbifurcation settwo-dimensional spherethree-dimensional sphereconstant curvature spacetwo-center problemclassification of motions


Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamics of a system of particles, including celestial mechanics (70F99) Two-body problems (70F05)


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Orbits in the problem of two fixed centers on the sphere ⋮ Relations between integrable systems in plane and curved spaces ⋮ Integrable problems of celestial mechanics in spaces of constant curvature ⋮ Dynamical systems. Transl. from the Russian ⋮ Generalized problem of two and four Newtonian centers




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