Generalization of the Kepler Problem to Spaces of Constant Curvature

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


To start this section devoted to the construction of non-Euclidean geometry (the term was proposed by German mathematician Gauss) we cite the words of philosopher of XVIII century P. Beil “ ... The opinion that a view passing from century to century, from generation to generation, cannot be entirely false, is the purest illusion”


Bifurcation Diagram Mass Point Constant Curvature Central Field Integral Manifold 
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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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