We give a short introduction to the methods of representing polynomial and trigonometric series that are often used in Celestial Mechanics. A few applications are also illustrated.
Methods of algebraic manipulation in perturbation theory / A. Giorgilli, M. Sansottera - In: Chaos, Diffusion and Non-integrability in Hamiltonian Systems : Applications to Astronomy / [a cura di] P.M. Cincotta, C.M. Giordano, C. Efthymiopoulos. - Disco magnetico. - [s.l] : Universidad Nacional de La Plata and Asociación Argentina de Astronomía Publishers, 2012. - ISBN 9789503408797. - pp. 147-184 (( Intervento presentato al 3. convegno La Palata International School on Astronomy and Geophysics Chaos : Diffusion and Non-integrability in Hamiltonian Systems : Applications to Astronomy tenutosi a La Plata nel 2011.
Methods of algebraic manipulation in perturbation theory
A. GiorgilliPrimo
;M. Sansottera
2012
Abstract
We give a short introduction to the methods of representing polynomial and trigonometric series that are often used in Celestial Mechanics. A few applications are also illustrated.
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