Stable and Chaotic Motions in the Planetary Problem

Project Information

StableChaoticPlanetM

Grant agreement ID: 677793

DOI

10.3030/677793

Project closed

EC signature date 14 December 2015

Start date 1 March 2016

End date 31 August 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 900 000,00

EU contribution

€ 900 000,00

Coordinated by

UNIVERSITA DEGLI STUDI DI PADOVA
Italy

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (26)

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

Shaken dynamics on the 3d cubic lattice

Author(s): Scoppola, Benedetto; Troiani, Alessio; Veglianti, Matteo
Published in: Electronic Journal of Probability, Issue 10836489, 2022, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp803

On the algebraic properties of exponentially stable integrable hamiltonian systems

Author(s): Santiago Barbieri
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques, 2021, ISSN 0240-2963
Publisher: Université Paul Sabatier, Toulouse

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, Issue 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, Issue 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

Metastability for the Ising model on the hexagonal lattice

Author(s): Valentina Apollonio; Vanessa Jacquier; Francesca Romana Nardi; Alessio Troiani
Published in: Electronic Journal of Probability, Issue 10836489, 2022, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.2101.11894

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

Author(s): Gabriella Pinzari
Published in: Memoirs of the American Mathematical Society, Issue 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, Issue 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, Issue 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, Issue 30, 2020, Page(s) 851-901, 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 5, 2022, ISSN 2190-5444
Publisher: Springer Science + Business Media
DOI: 10.1140/epjp/s13360-021-02080-w

Monographic books (1)

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

Other (1)

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