Marco Sansottera

Research activity

My research activity is mainly focused on Dynamical Systems and Celestial Mechanics. I deal with both the theoretical and the computational aspects, with a special care on their interplay. The main goal of my research activity is the study of the stability properties of planetary systems. For this purpose, I investigated the dynamics in the neighborhood of some invariant objects, like maximal dimension KAM tori, equilibrium points and lower dimensional elliptic tori.

 
 

Papers      Talks

 
 

Papers

  • M. Sansottera, A. Giorgilli and T. Carletti: "High-order control for symplectic maps", Physica-D, to appear (2015).
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  • M. Sansottera, C. Lhotka and A. Lemaître: "Effective resonant stability of Mercury", MNRAS, 452, 4145-4152 (2015).
    DOI: 10.1093/mnras/stv1429
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  • M. Sansottera, L. Grassi and A. Giorgilli: "On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems", Proceedings of the IAU Symposium S310, 74-77 (2015).
    DOI:10.1017/S174392131400787X
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  • A. Giorgilli, U. Locatelli and M. Sansottera: "On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems", Celestial Mechanics and Dynamical Astronomy, Volume 119, 397-424 (2014).
    DOI:10.1007/s10569-014-9562-7
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  • M. Sansottera, C. Lhotka and A. Lemaître: "Effective stability around the Cassini state in the spin-orbit problem", Celestial Mechanics and Dynamical Astronomy, Volume 119, 75-89 (2014).
    DOI:10.1007/s10569-014-9547-6
    PDF file (Paper)
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  • A. Giorgilli, U. Locatelli and M. Sansottera: "Improved convergence estimates for the Schroder-Siegel problem", Annali di Matematica Pura ed Applicata, 194, 995-1013 (2015).
    DOI:10.1007/s10231-014-0408-4
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  • A.-S. Libert and M. Sansottera: "On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems", Celestial Mechanics and Dynamical Astronomy, Volume 117, 149-168 (2013).
    DOI: 10.1007/s10569-013-9501-z
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  • A. Giorgilli and M. Sansottera: "Methods of algebraic manipulation in perturbation theory", in "Chaos, Diffusion and Non-integrability in Hamiltonian Systems - Applications to Astronomy", Proceedings of the Third La Plata International School on Astronomy and Geophysics, P.M. Cincotta, C.M. Giordano and C. Efthymiopoulos eds., Universidad Nacional de La Plata and Asociación Argentina de Astronomía Publishers, La Plata, Argentina (2012).
    SAO/NASA ADS
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  • M. Sansottera, U. Locatelli and A. Giorgilli: "A Semi-Analytic Algorithm for Constructing Lower Dimensional Elliptic Tori in Planetary Systems", Celestial Mechanics and Dynamical Astronomy, Volume 111, Number 3, 337-361 (2011)
    DOI: 10.1007/s10569-011-9375-x
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  • M. Sansottera, U. Locatelli and A. Giorgilli: "On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system", Mathematics and Computers in Simulation, Volume 88, 1-14 (2013).
    DOI: 10.1016/j.matcom.2010.11.018
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  • A. Giorgilli, U. Locatelli and M. Sansottera: "Su un'estensione della teoria di Lagrange per i moti secolari", Rendiconti dell'Istituto Lombardo Accademia di Scienze e Lettere, Classe di Scienze Matematiche e Naturali, 143, 223-239 (2010).
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  • A. Giorgilli, U. Locatelli and M. Sansottera: "Kolmogorov and Nekhoroshev theory for the problem of three bodies", Celestial Mechanics and Dynamical Astronomy, Volume 104, Numbers 1-2, 159-173 (2009).
    DOI: 10.1007/s10569-009-9192-7
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Talks

  • M. Sansottera: "Secular dynamics of extrasolar-systems", Complex Planetary Systems (IAU Symposium), 07-11 July 2014, Namur, Belgium.
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  • M. Sansottera: "Improved convergence estimates for the Schröder-Siegel problem", Assemblea Scientifica G.N.F.M., 15-18 May 2014, Montecatini Terme (Pistoia) Italy.
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  • M. Sansottera: "Lower dimensional elliptic tori in planetary systems via normal form", CELMEC VI, 1-7 September 2013, San Martino al Cimino (Viterbo), Italy.
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  • M. Sansottera: "Effective stability around the Cassini state in the spin-orbit problem" [e-poster], CELMEC VI, 1-7 September 2013, San Martino al Cimino (Viterbo), Italy.
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  • M. Sansottera: "Non-linear oscillations and long-term evolution, application to planetary systems and spin-orbit problem", Planetary Motions, Satellite Dynamics, and Spaceship Orbits, 22-26 July 2013, CRM Montreal, Canada.
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  • M. Sansottera: "Secular Evolution of Extrasolar Planetary Systems: an Extension of the Laplace-Lagrange Secular Theory", American Astronomical Society Division on Dynamical Astronomy (DDA 2013), 5-9 May 2013, Paraty, Brazil.
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  • M. Sansottera: "On the secular evolution of extrasolar planetary systems", Tenth Workshop on Interactions Between Dynamical Systems and Partial Differential Equations (JISD2012), 28-1 June 2012, Barcelona, Spain.
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  • M. Sansottera: "On the secular evolution of extrasolar planetary systems", Annual Meeting Graduate School Complex, 25 May 2012, Bruxelles, Belgium.
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  • M. Sansottera: "Methods of algebraic manipulation in perturbation theory", Third La Plata International School on Astronomy and Geophysics, 11-15 July 2011, La Plata, Argentina.
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  • M. Sansottera: "Explicit construction of elliptic tori for planetary systems", 8th Alexander von Humboldt Colloquium for Celestial Mechanics, 20-26 March 2011, Bad Hofgastein (Salzburg), Austria.
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  • M. Sansottera: "Effective Stability of Hamiltonian Planetary Systems", Sistemi dinamici nonlineari e applicazioni, 17-19 February 2011, Pisa, Centro Ennio de Giorgi, Italy.
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  • M. Sansottera: "Explicit construction of elliptic tori for planetary systems", ACA 2010, 24-27 June 2010, Vlora, Albania.
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  • M. Sansottera: "Explicit construction of elliptic tori for planetary systems" [poster], DSPDEs 2010, 31-4 May 2010, Barcelona, Spain.
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  • M. Sansottera: "Towards stability results for planetary problems with more than three bodies", CADE 2009, 28-31 October 2009, Pamplona, Spain.
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  • M. Sansottera: "Risultati sulla stabilità per problemi planetari con più di tre corpi", Assemblea Scientifica G.N.F.M., 1-3 October 2009, Montecatini Terme (Pistoia) Italy.
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  • U. Locatelli and M. Sansottera: "Towards stability results for planetary problems with more than three bodies", CELMEC V, 6-12 September 2009, San Martino al Cimino (Viterbo), Italy.
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