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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 295))

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Abstract

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.

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© 2003 Springer Science+Business Media Dordrecht

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Vozmischeva, T.G. (2003). The Two-Center Problem in the Lobachevsky Space. In: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature. Astrophysics and Space Science Library, vol 295. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0303-1_4

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  • DOI: https://doi.org/10.1007/978-94-017-0303-1_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6382-3

  • Online ISBN: 978-94-017-0303-1

  • eBook Packages: Springer Book Archive

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