Kolmogorov and Nekhoroshev theory for the problem of three bodies A Giorgilli, U Locatelli, M Sansottera Celestial Mechanics and Dynamical Astronomy 104, 159-173, 2009 | 62 | 2009 |
On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems AS Libert, M Sansottera Celestial Mechanics and Dynamical Astronomy 117 (2), 149-168, 2013 | 44 | 2013 |
On the stability of the secular evolution of the planar Sun–Jupiter–Saturn–Uranus system M Sansottera, U Locatelli, A Giorgilli Mathematics and Computers in Simulation 88, 1-14, 2013 | 39 | 2013 |
Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories A Giorgilli, U Locatelli, M Sansottera Regular and Chaotic Dynamics 22, 54-77, 2017 | 37 | 2017 |
Methods of algebraic manipulation in perturbation theory A Giorgilli, M Sansottera arXiv preprint arXiv:1303.7398, 2013 | 29 | 2013 |
A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems M Sansottera, U Locatelli, A Giorgilli Celestial Mechanics and Dynamical Astronomy, 1-25, 2011 | 28 | 2011 |
On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems A Giorgilli, U Locatelli, M Sansottera Celestial Mechanics and Dynamical Astronomy 119, 397-424, 2014 | 22 | 2014 |
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance M Sansottera, AS Libert Celestial Mechanics and Dynamical Astronomy 131, 1-20, 2019 | 19 | 2019 |
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems M Volpi, U Locatelli, M Sansottera Celestial Mechanics and Dynamical Astronomy 130, 1-17, 2018 | 16 | 2018 |
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice T Penati, M Sansottera, S Paleari, V Koukouloyannis, PG Kevrekidis Physica D: Nonlinear Phenomena 370, 1-13, 2018 | 15 | 2018 |
Rigorous estimates for the relegation algorithm M Sansottera, M Ceccaroni Celestial Mechanics and Dynamical Astronomy 127, 1-18, 2017 | 13 | 2017 |
Librational KAM tori in the secular dynamics of the υ Andromedæ planetary system C Caracciolo, U Locatelli, M Sansottera, M Volpi Monthly Notices of the Royal Astronomical Society 510 (2), 2147-2166, 2022 | 10 | 2022 |
Exponential stability in the perturbed central force problem D Bambusi, A Fusè, M Sansottera Regular and Chaotic Dynamics 23 (7), 821-841, 2018 | 10 | 2018 |
Improved convergence estimates for the Schröder–Siegel problem A Giorgilli, U Locatelli, M Sansottera Annali di Matematica Pura ed Applicata (1923-) 194 (4), 995-1013, 2015 | 10 | 2015 |
Effective stability around the Cassini state in the spin-orbit problem M Sansottera, C Lhotka, A Lemaître Celestial Mechanics and Dynamical Astronomy 119 (1), 75-89, 2014 | 8 | 2014 |
On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori T Penati, M Sansottera, V Danesi Communications in Nonlinear Science and Numerical Simulation 61, 198-224, 2018 | 7 | 2018 |
Su un'estensione della teoria di Lagrange per i moti secolari A Giorgilli, U Locatelli, M Sansottera arXiv preprint arXiv:1303.7392, 2013 | 7 | 2013 |
Methods of algebraic manipulation in perturbation theory, in “Chaos, Diffusion and Non-integrability in Hamiltonian Systems—Applications to Astronomy” A Giorgilli, M Sansottera Proceedings of the Third La Plata International School on Astronomy and …, 2012 | 7 | 2012 |
Invariant KAM tori: from theory to applications to exoplanetary systems U Locatelli, C Caracciolo, M Sansottera, M Volpi I-CELMECH Training School. New frontiers of Celestial Mechanics: Theory and …, 2020 | 6 | 2020 |
On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors T Penati, V Koukouloyannis, M Sansottera, PG Kevrekidis, S Paleari Physica D: Nonlinear Phenomena 398, 92-114, 2019 | 6 | 2019 |