Stable and Chaotic Motions in the Planetary Problem

Tides and Dumbbell Dynamics

Autorzy: Benedetto Scoppola, Alessio Troiani, Matteo Veglianti
Opublikowane w: Regular and Chaynamics, 2022, ISSN 1560-3547
Wydawca: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354722030078

Shaken dynamics on the 3d cubic lattice

Autorzy: Scoppola, Benedetto; Troiani, Alessio; Veglianti, Matteo
Opublikowane w: Electronic Journal of Probability, Numer 10836489, 2022, ISSN 1083-6489
Wydawca: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp803

Integrability of close encounters in the spatial restricted three-body problem

Autorzy: Franco Cardin, Massimiliano Guzzo
Opublikowane w: Communications in Contemporary Mathematics, 2021, Strona(/y) 2150040, ISSN 0219-1997
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0219199721500401

Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function

Autorzy: Qinbo Chen
Opublikowane w: Advances in Calculus of Variations, Numer 0/0, 2021, ISSN 1864-8258
Wydawca: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2020-0089

Exponential stability of fast driven systems, with an application to celestial mechanics

Autorzy: Qinbo Chen, Gabriella Pinzari
Opublikowane w: Nonlinear Analysis, Numer 208, 2021, Strona(/y) 112306, ISSN 0362-546X
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.na.2021.112306

A deep dive into the 2g+h resonance: separatrices, manifolds and phase space structure of navigation satellites

Autorzy: Jerome Daquin, Edoardo Legnaro, Ioannis Gkolias, Christos Efthymyopoulos
Opublikowane w: Celestial Mechanics and Dynamical Astronomy, 2022, ISSN 1572-9478
Wydawca: Springer Nature
DOI: 10.1007/s10569-021-10060-6

Metastability for the Ising model on the hexagonal lattice

Autorzy: Valentina Apollonio; Vanessa Jacquier; Francesca Romana Nardi; Alessio Troiani
Opublikowane w: Electronic Journal of Probability, Numer 10836489, 2022, ISSN 1083-6489
Wydawca: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.2101.11894

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

Autorzy: Gabriella Pinzari
Opublikowane w: Memoirs of the American Mathematical Society, Numer 255/1218, 2018, Strona(/y) 0-0, ISSN 0065-9266
Wydawca: American Mathematical Society
DOI: 10.1090/memo/1218

On the co-existence of maximal and whiskered tori in the planetary three-body problem

Autorzy: Gabriella Pinzari
Opublikowane w: Journal of Mathematical Physics, Numer 59/5, 2018, Strona(/y) 052701, ISSN 0022-2488
Wydawca: American Institute of Physics
DOI: 10.1063/1.4986076

Drift and Its Mediation in Terrestrial Orbits

Autorzy: Jérôme Daquin, Ioannis Gkolias, Aaron J. Rosengren
Opublikowane w: Frontiers in Applied Mathematics and Statistics, Numer 4, 2018, ISSN 2297-4687
Wydawca: NA
DOI: 10.3389/fams.2018.00035

On the co-orbital motion in the planar restricted three-body problem: the quasi-satellite motion revisited

Autorzy: Alexandre Pousse, Philippe Robutel, Alain Vienne
Opublikowane w: Celestial Mechanics and Dynamical Astronomy, 2017, ISSN 0923-2958
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10569-016-9749-1

Semi-analytic Computations of the Speed of Arnold Diffusion Along Single Resonances in A Priori Stable Hamiltonian Systems

Autorzy: Massimiliano Guzzo, Christos Efthymiopoulos, Rocío I. Paez
Opublikowane w: Journal of Nonlinear Science, 2020, ISSN 0938-8974
Wydawca: Springer Verlag
DOI: 10.1007/s00332-019-09594-9

Sharp Nekhoroshev estimates for the three-body problem around periodic orbits

Autorzy: Santiago Barbieri, Laurent Niederman
Opublikowane w: Journal of Differential Equations, Numer 268/7, 2020, Strona(/y) 3749-3780, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2019.10.013

A first integral to the partially averaged Newtonian potential of the three-body problem

Autorzy: Gabriella Pinzari
Opublikowane w: Celestial Mechanics and Dynamical Astronomy, Numer 131/5, 2019, ISSN 0923-2958
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10569-019-9899-z

A study of temporary captures and collisions in the Circular Restricted Three-Body Problem with normalizations of the Levi-Civita Hamiltonian

Autorzy: Rocío I. Paez, Massimiliano Guzzo
Opublikowane w: International Journal of Non-Linear Mechanics, Numer 120, 2020, Strona(/y) 103417, ISSN 0020-7462
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.ijnonlinmec.2020.103417

Chaotic transport of navigation satellites

Autorzy: Ioannis Gkolias, Jérôme Daquin, Despoina K. Skoulidou, Kleomenis Tsiganis, Christos Efthymiopoulos
Opublikowane w: Chaos: An Interdisciplinary Journal of Nonlinear Science, Numer 29/10, 2019, Strona(/y) 101106, ISSN 1054-1500
Wydawca: American Institute of Physics
DOI: 10.1063/1.5124682

Euler integral and perihelion librations

Autorzy: Gabriella Pinzari
Opublikowane w: Discrete & Continuous Dynamical Systems - A, Numer 0/0, 2019, Strona(/y) 0-0, ISSN 1553-5231
Wydawca: American Institute of Mathematica Sciences
DOI: 10.3934/dcds.2020165

Perihelion Librations in the Secular Three-Body Problem

Autorzy: Gabriella Pinzari
Opublikowane w: Journal of Nonlinear Science, 2020, ISSN 0938-8974
Wydawca: Springer Verlag
DOI: 10.1007/s00332-020-09624-x

On the Co-orbital Motion in the Three-Body Problem: Existence of Quasi-periodic Horseshoe-Shaped Orbits

Autorzy: Laurent Niederman, Alexandre Pousse, Philippe Robutel
Opublikowane w: Communications in Mathematical Physics, 2020, ISSN 0010-3616
Wydawca: Springer Verlag
DOI: 10.1007/s00220-020-03690-8

Manifold spirals, disc–halo interactions, and the secular evolution in N -body models of barred galaxies

Autorzy: C Efthymiopoulos, P E Kyziropoulos, R I Páez, K Zouloumi, G A Gravvanis
Opublikowane w: Monthly Notices of the Royal Astronomical Society, Numer 484/2, 2019, Strona(/y) 1487-1505, ISSN 0035-8711
Wydawca: Blackwell Publishing Inc.
DOI: 10.1093/mnras/stz035

Integrability of the spatial restricted three-body problem near collisions (an announcement)

Autorzy: Franco Cardin, Massimiliano Guzzo
Opublikowane w: Rendiconti Lincei - Matematica e Applicazioni, Numer 30/1, 2019, Strona(/y) 195-204, ISSN 1120-6330
Wydawca: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/842

Euler integral as a source of chaos in the three-body problem

Autorzy: Sara Di Ruzza; Gabriella Pinzari
Opublikowane w: Communications in Nonlinear Science and Numerical Simulations, Numer 6, 2022, ISSN 1007-5704
Wydawca: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106372

Lonely Planets and Lightweight Asteroids: A Statistical Mechanics Model for the Planetary Problem

Autorzy: Gabriella Pinzari, Benedetto Scoppola, Alessio Troiani
Opublikowane w: Annales Henri Poincaré, 2021, ISSN 1424-0637
Wydawca: Birkhauser Verlag
DOI: 10.1007/s00023-021-01099-0

Symbolic dynamics in a binary asteroid system

Autorzy: Sara Di Ruzza, Jérôme Daquin, Gabriella Pinzari
Opublikowane w: Communications in Nonlinear Science and Numerical Simulation, Numer 91, 2020, Strona(/y) 105414, ISSN 1007-5704
Wydawca: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105414

Classical and relativistic n-body problem: from Levi-Civita to the most advanced interplanetary missions

Autorzy: Sara Di Ruzza
Opublikowane w: The European Physical Journal PLus, Numer 5, 2022, ISSN 2190-5444
Wydawca: Springer Science + Business Media
DOI: 10.1140/epjp/s13360-021-02080-w

Il problema degli n-corpi in relatività generale

Autorzy: Franco Cardin, Sara Di Ruzza, Leonardo Donà
Opublikowane w: Padova University Press, 2019
Wydawca: Padova University Press

Janus et Epiméthée: un ballet perpétuel autour de Saturne? Del'observation astronomique à la théorie KAM

Autorzy: Alexandre Pousse, Laurent Niederman, Philippe Robutel
Opublikowane w: Images de Mathematique, 2018
Wydawca: CNRS

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