Marco Sansottera
TitleCited byYear
Kolmogorov and Nekhoroshev theory for the problem of three bodies
A Giorgilli, U Locatelli, M Sansottera
Celestial Mechanics and Dynamical Astronomy 104 (1-2), 159-173, 2009
392009
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
272013
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
252013
Methods of algebraic manipulation in perturbation theory
A Giorgilli, M Sansottera
arXiv preprint arXiv:1303.7398, 2013
172013
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
172011
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 (1), 54-77, 2017
132017
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 (3-4), 397-424, 2014
92014
Su un'estensione della teoria di Lagrange per i moti secolari
A Giorgilli, U Locatelli, M Sansottera
arXiv preprint arXiv:1303.7392, 2013
62013
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
52018
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
52014
Rigorous estimates for the relegation algorithm
M Sansottera, M Ceccaroni
Celestial Mechanics and Dynamical Astronomy 127 (1), 1-18, 2017
42017
Comparing Dynamics Initiated by an Attached Oscillating Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse and Weak Longitudinal …
AV Borisov, SP Kuznetsov
Regular and Chaotic Dynamics 23 (7-8), 803-820, 2018
32018
Effective resonant stability of Mercury
M Sansottera, C Lhotka, A Lemaitre
Monthly Notices of the Royal Astronomical Society 452 (4), 4145-4152, 2015
32015
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
22015
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
12018
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems
M Volpi, U Locatelli, M Sansottera
Celestial Mechanics and Dynamical Astronomy 130 (5), 36, 2018
12018
On the (non) existence of phase-shift discrete solitons in a dNLS nonlocal lattice.
T Penati, M Sansottera, S Paleari, V Koukouloyannis, PG Kevrekidis
arXiv preprint arXiv:1707.01679, 2017
12017
High-order control for symplectic maps
M Sansottera, A Giorgilli, T Carletti
Physica D: Nonlinear Phenomena 316, 1-15, 2016
12016
On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems
M Sansottera, L Grassi, A Giorgilli
Proceedings of the International Astronomical Union 9 (S310), 74-77, 2014
12014
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance
M Sansottera, AS Libert
Celestial Mechanics and Dynamical Astronomy 131 (8), 38, 2019
2019
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Articles 1–20