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The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibriumDiscrete and Continuous Dynamical Systems - Series B, 2008, 10 (2-3), pp.421-438
Journal articles
hal-00023580v4
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Quasiperiodic motions in the planar three-body problemJournal of Differential Equations, 2002, 183 (2), pp.303-341
Journal articles
hal-00633840v1
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On "Arnold's theorem" on the stability of the solar systemDiscrete and Continuous Dynamical Systems - Series A, 2013, 33 (8), 12 pp
Journal articles
hal-00741551v1
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The three- and the N-body problemAlessandra Celletti. Celestial Mechanics, Unesco-EOLSS, pp.1-30, 2013
Book sections
hal-00915271v1
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The N-body problem2012
Other publications
obspm-03829046v1
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Errata de la Démonstration du "théorème d'Arnold'' et addendum2006
Preprints, Working Papers, ...
hal-00079059v2
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Unchained polygons and the N-body problemRegular and Chaotic Dynamics, 2009, 14 (1), pp.64-115
Journal articles
hal-00292885v3
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Secular instability in the spatial three-body problemArchive for Rational Mechanics and Analysis, 2016
Journal articles
hal-01249337v1
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On singularities of minimum time control-affine systemsSIAM Journal on Control and Optimization, 2022, 60 (2), pp.1143-1162. ⟨10.1137/20M1366861⟩
Journal articles
hal-01718345v2
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Classical n-body scattering with long-range potentialsNonlinearity, 2021, 34, pp.8017-8054. ⟨10.1088/1361-6544/ac288d⟩
Journal articles
insu-03718971v1
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Introduction to KAM theory2011
Other publications
obspm-03828707v1
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A simple proof of the invariant torus theoremRegular and Chaotic Dynamics, 2012, 17 (1), pp.1-5
Journal articles
hal-00474037v2
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Démonstration du " théorème d'Arnold " sur la stabilité du système planétaire (d'après Michael Herman)Ergodic Theory and Dynamical Systems, 2004, 24 (5), pp.1521-82
Journal articles
hal-00633820v1
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Hamiltonian perturbation theory for ultra-differentiable functionsMemoirs of the American Mathematical Society, 2021, 270, pp.1-89
Journal articles
hal-01599229v1
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Un théorème sur les actions de groupes de dimension infinieComptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (7-8), pp.477-482
Journal articles
hal-00375856v2
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Introduction to KAM theory, with a view to celestial mechanicsJ.-B. Caillau, M. Bergounioux, G. Peyré, C. Schnörr, T. Haberkorn. Variational methods in imaging and geometric control, 18, de Gruyter, 2016, Radon Series on Comput. and Applied Math
Book sections
hal-01422181v1
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Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problemJournal of the European Mathematical Society, 2016, 18 (10), pp.2313-2403. ⟨10.4171/JEMS/642⟩
Journal articles
hal-01067839v1
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Sur le théorème de Bertrand (d'après Michael Herman)Ergodic Theory and Dynamical Systems, 2004, 24 (5), pp.1583-1589
Journal articles
hal-00633821v1
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KAM, $\alpha$-Gevrey regularity and the $\alpha$-Bruno-Rüssmann conditionAnnali della Scuola Normale Superiore di Pisa, 2019, 19 (4), pp.1225-1279. ⟨10.48550/arXiv.1705.06909⟩
Journal articles
hal-01524853v2
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On Action-angle coordinates and the Poincaré CoordinatesRegular and Chaotic Dynamics, 2013, 18 (6), pp.708-723. ⟨10.1134/S1560354713060105⟩
Journal articles
hal-00915268v1
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Periodic and quasi-periodic motions in the many-body problemDynamical Systems [math.DS]. Université Pierre et Marie Curie - Paris VI, 2010
Habilitation à diriger des recherches
tel-00702650v1
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Global secular dynamics in the planar three-body problemCelestial Mechanics and Dynamical Astronomy, 2002, 84 (2), pp.159-195
Journal articles
hal-00633838v1
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Averaging the planar three-body problem in the neighborhood of double inner collisionsJournal of Differential Equations, 2001, 175 (1), pp.175-187
Journal articles
hal-00633844v1
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Lagrangian Relations and Linear Point BilliardsNonlinearity, 2017, 30 (4), ⟨10.1088/1361-6544/aa5b26⟩
Journal articles
hal-01523822v1
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Classical n-body scattering with long-range potentialsNonlinearity, 2021, 34 (11), ⟨10.1088/1361-6544/ac288d⟩
Journal articles
hal-03850550v1
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Le problème de la stabilité du Système solaire, de Lagrange à nos joursPierre Pansu. Deux cents ans après Lagrange, Société mathématique de France, pp.1-30, 2013, Journées annuelles de la Société mathématique de France
Book sections
hal-00915270v1
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Secular Instability in the Three-Body ProblemArchive for Rational Mechanics and Analysis, 2016, 221 (1), pp.335-362. ⟨10.1007/s00205-015-0962-y⟩
Journal articles
hal-02320086v1
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Non-integrability of the minimum-time Kepler problemJournal of Geometry and Physics, 2018, 132, pp.452-459. ⟨10.1016/j.geomphys.2018.06.012⟩
Journal articles
hal-01679261v2
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