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The manual examines the main classical and modern (Lie transformation method, KAM theory) asymptotic methods of celestial mechanics. Explicit expressions for the general term and the first few terms of the corresponding series are given. The convergence of the approximations is considered. For the first time, exact estimates of the radius of convergence of series of the small parameter method are given. The named methods are characterized from both theoretical and practical points of view.
Publisher | Л. Издательство Ленинградского университета |
Publication date | 1985 |