The Two-Center Problem in the Lobachevsky Space

  • Tatiana G. Vozmischeva
Part of the Astrophysics and Space Science Library book series (ASSL, volume 295)


For the first time the problem of studying the dynamics in spaces of constant negative curvature was posed by Lobachevsky. This fact is of great interest because already in those years it was possible to obtain the expression for the potential that is generated by a gravitating Enter. As is well known [14] the analog of the Newtonian potential 1/r in the Lobachevsky space is the function cth r.


Bifurcation Diagram Mass Point Configuration Space Plane Case Tangent Point 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Tatiana G. Vozmischeva
    • 1
  1. 1.Department of Applied MathematicsIzhevsk State Technical UniversityIzhevskRussia

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