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Termes séculaires dans la théorie des perturbations (Secular terms in the theory of perturbation). (French) Zbl 0582.70014

The author discusses in the theory of planetary motions convergence properties of series presentations. The influence of small irreversible effects led to many resonances or quasiresonances. This is favorable to a good convergence of the series.
Reviewer: J.V.Feitzinger

MSC:

70F10 \(n\)-body problems
70F15 Celestial mechanics
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[1] Charlier, C.L.: 1907,Die Mechanik des Himmels, Band II, Verlag von Veit & Comp., 321
[2] Charlier, C.L.: 1931,Application de la théorie des probabilité à l’astronomie, Gauthier-Villars, 34
[3] Hagihara, Y.: 1961, dansPlanets and Satellites ed. par Kuiper, G. P. et Middlehurst, B. M., The University of Chicago Press, 126
[4] Poincaré, H.: 1884,Bulletin astronomique, 1, 319
[5] Poincaré, H.: 1957,Les méthodes nouvelles de la mécanique céleste, Tome II, Dover, 1
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