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Stable and Chaotic Motions in the Planetary Problem

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Publications

Tides and Dumbbell Dynamics

Author(s): Benedetto Scoppola, Alessio Troiani, Matteo Veglianti
Published in: Regular and Chaynamics, 2022, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354722030078

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

Author(s): Franco Cardin, Massimiliano Guzzo
Published in: Communications in Contemporary Mathematics, 2021, Page(s) 2150040, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199721500401

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

Author(s): Qinbo Chen
Published in: Advances in Calculus of Variations, 0/0, 2021, ISSN 1864-8258
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2020-0089

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

Author(s): Qinbo Chen, Gabriella Pinzari
Published in: Nonlinear Analysis, 208, 2021, Page(s) 112306, ISSN 0362-546X
Publisher: 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

Author(s): Jerome Daquin, Edoardo Legnaro, Ioannis Gkolias, Christos Efthymyopoulos
Published in: Celestial Mechanics and Dynamical Astronomy, 2022, ISSN 1572-9478
Publisher: Springer Nature
DOI: 10.1007/s10569-021-10060-6

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

Author(s): Gabriella Pinzari
Published in: Memoirs of the American Mathematical Society, 255/1218, 2018, Page(s) 0-0, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.1090/memo/1218

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

Author(s): Gabriella Pinzari
Published in: Journal of Mathematical Physics, 59/5, 2018, Page(s) 052701, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.4986076

Drift and Its Mediation in Terrestrial Orbits

Author(s): Jérôme Daquin, Ioannis Gkolias, Aaron J. Rosengren
Published in: Frontiers in Applied Mathematics and Statistics, 4, 2018, ISSN 2297-4687
Publisher: NA
DOI: 10.3389/fams.2018.00035

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

Author(s): Alexandre Pousse, Philippe Robutel, Alain Vienne
Published in: Celestial Mechanics and Dynamical Astronomy, 2017, ISSN 0923-2958
Publisher: 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

Author(s): Massimiliano Guzzo, Christos Efthymiopoulos, Rocío I. Paez
Published in: Journal of Nonlinear Science, 2020, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-019-09594-9

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

Author(s): Santiago Barbieri, Laurent Niederman
Published in: Journal of Differential Equations, 268/7, 2020, Page(s) 3749-3780, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2019.10.013

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

Author(s): Gabriella Pinzari
Published in: Celestial Mechanics and Dynamical Astronomy, 131/5, 2019, ISSN 0923-2958
Publisher: 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

Author(s): Rocío I. Paez, Massimiliano Guzzo
Published in: International Journal of Non-Linear Mechanics, 120, 2020, Page(s) 103417, ISSN 0020-7462
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.ijnonlinmec.2020.103417

Chaotic transport of navigation satellites

Author(s): Ioannis Gkolias, Jérôme Daquin, Despoina K. Skoulidou, Kleomenis Tsiganis, Christos Efthymiopoulos
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science, 29/10, 2019, Page(s) 101106, ISSN 1054-1500
Publisher: American Institute of Physics
DOI: 10.1063/1.5124682

Euler integral and perihelion librations

Author(s): Gabriella Pinzari
Published in: Discrete & Continuous Dynamical Systems - A, 0/0, 2019, Page(s) 0-0, ISSN 1553-5231
Publisher: American Institute of Mathematica Sciences
DOI: 10.3934/dcds.2020165

Perihelion Librations in the Secular Three-Body Problem

Author(s): Gabriella Pinzari
Published in: Journal of Nonlinear Science, 2020, ISSN 0938-8974
Publisher: 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

Author(s): Laurent Niederman, Alexandre Pousse, Philippe Robutel
Published in: Communications in Mathematical Physics, 2020, ISSN 0010-3616
Publisher: 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

Author(s): C Efthymiopoulos, P E Kyziropoulos, R I Páez, K Zouloumi, G A Gravvanis
Published in: Monthly Notices of the Royal Astronomical Society, 484/2, 2019, Page(s) 1487-1505, ISSN 0035-8711
Publisher: Blackwell Publishing Inc.
DOI: 10.1093/mnras/stz035

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

Author(s): Franco Cardin, Massimiliano Guzzo
Published in: Rendiconti Lincei - Matematica e Applicazioni, 30/1, 2019, Page(s) 195-204, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/842

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

Author(s): Sara Di Ruzza; Gabriella Pinzari
Published in: Communications in Nonlinear Science and Numerical Simulations, 6, 2022, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106372

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

Author(s): Gabriella Pinzari, Benedetto Scoppola, Alessio Troiani
Published in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01099-0

Symbolic dynamics in a binary asteroid system

Author(s): Sara Di Ruzza, Jérôme Daquin, Gabriella Pinzari
Published in: Communications in Nonlinear Science and Numerical Simulation, 91, 2020, Page(s) 105414, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105414

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

Author(s): Sara Di Ruzza
Published in: The European Physical Journal PLus, 5, 2022, ISSN 2190-5444
Publisher: Springer Science + Business Media
DOI: 10.1140/epjp/s13360-021-02080-w

Il problema degli n-corpi in relatività generale

Author(s): Franco Cardin, Sara Di Ruzza, Leonardo Donà
Published in: Padova University Press, 2019
Publisher: Padova University Press

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

Author(s): Alexandre Pousse, Laurent Niederman, Philippe Robutel
Published in: Images de Mathematique, 2018
Publisher: CNRS