Skip to main content

3 Result(s)

within Marco Sansottera Remove this filter Mathematics Remove this filter

and

  1. No Access

    Article

    Exponential Stability in the Perturbed Central Force Problem

    We consider the spatial central force problem with a real analytic potential. We prove that for all analytic potentials, but for the Keplerian and the harmonic ones, the Hamiltonian fulfills a nondegeneracy pr...

    Dario Bambusi, Alessandra Fusè, Marco Sansottera in Regular and Chaotic Dynamics (2018)

  2. No Access

    Article

    Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories

    We investigate the long-time stability of the Sun-Jupiter-Saturn-Uranus system by considering a planar secular model, which can be regarded as a major refinement of the approach first introduced by Lagrange. I...

    Antonio Giorgilli, Ugo Locatelli, Marco Sansottera in Regular and Chaotic Dynamics (2017)

  3. Article

    Improved convergence estimates for the Schröder–Siegel problem

    We reconsider the Schröder–Siegel problem of conjugating an analytic map in \(\mathbb {C}\) ...

    Antonio Giorgilli, Ugo Locatelli… in Annali di Matematica Pura ed Applicata (19… (2015)

    Download PDF (376 KB) View Article