Titlebook: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature; Tatiana G. Vozmischeva Book 2003 Springer Science+Business Med

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Book 2003rable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. Th

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0067-0057 ics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their an

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978-90-481-6382-3Springer Science+Business Media Dordrecht 2003

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Generalization of the Kepler Problem to Spaces of Constant Curvature,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”

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