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StableChaoticPlanetM SIGNED

Stable and Chaotic Motions in the Planetary Problem

Total Cost €


EC-Contrib. €






Project "StableChaoticPlanetM" data sheet

The following table provides information about the project.


Organization address
address: VIA 8 FEBBRAIO 2
city: PADOVA
postcode: 35122

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Project website
 Total cost 900˙000 €
 EC max contribution 900˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-03-01   to  2022-02-28


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA DEGLI STUDI DI PADOVA IT (PADOVA) coordinator 827˙622.00


 Project objective

The planetary problem consists in determining the motions of n planets, interacting among themselves and with a sun, via gravity only. Its deep comprehension has relevant consequences in Mathematics, Physics, Astronomy and Astrophysics. The problem is by its nature perturbative, being well approximated by the much easier (and in fact exactly solved since the XVII century) problem where each planet interacts only with the sun. However, when the mutual interactions among planets are taken into account, the dynamics of the system is much richer and, up to nowadays, essentially unsolved. Stable and unstable motions coexist as well. In general, perturbation theory allows to describe qualitative aspects of the motion, but it does not apply directly to the problem, because of its deep degeneracies. During my PhD, I obtained important results on the stability of the problem, based on a new symplectic description, that allowed me to write, for the first time, in the framework of close to be integrable systems, the Hamilton equations governing the dynamics of the problem, made free of its integral of motions, and degeneracies related. By such results, I was an invited speaker to the ICM of 2014, in Seoul. The goal of this research is to use such recent tools, develop techniques, ideas and wide collaborations, also by means of the creation of post-doc positions, assistant professorships (non-tenure track), workshops and advanced schools, in order to find results concerning the long-time stability of the problem, as well as unstable or diffusive motions.


year authors and title journal last update
List of publications.
2020 Santiago Barbieri, Laurent Niederman
Sharp Nekhoroshev estimates for the three-body problem around periodic orbits
published pages: 3749-3780, ISSN: 0022-0396, DOI: 10.1016/j.jde.2019.10.013
Journal of Differential Equations 268/7 2020-03-23
2020 Massimiliano Guzzo, Christos Efthymiopoulos, Rocío I. Paez
Semi-analytic Computations of the Speed of Arnold Diffusion Along Single Resonances in A Priori Stable Hamiltonian Systems
published pages: , ISSN: 0938-8974, DOI: 10.1007/s00332-019-09594-9
Journal of Nonlinear Science 2020-03-23
2020 Rocío I. Paez, Massimiliano Guzzo
A study of temporary captures and collisions in the Circular Restricted Three-Body Problem with normalizations of the Levi-Civita Hamiltonian
published pages: 103417, ISSN: 0020-7462, DOI: 10.1016/j.ijnonlinmec.2020.103417
International Journal of Non-Linear Mechanics 120 2020-03-23
2019 Gabriella Pinzari
A first integral to the partially averaged Newtonian potential of the three-body problem
published pages: , ISSN: 0923-2958, DOI: 10.1007/s10569-019-9899-z
Celestial Mechanics and Dynamical Astronomy 131/5 2020-03-23
2019 Ioannis Gkolias, Jérôme Daquin, Despoina K. Skoulidou, Kleomenis Tsiganis, Christos Efthymiopoulos
Chaotic transport of navigation satellites
published pages: 101106, ISSN: 1054-1500, DOI: 10.1063/1.5124682
Chaos: An Interdisciplinary Journal of Nonlinear Science 29/10 2020-03-23
2017 Alexandre Pousse, Philippe Robutel, Alain Vienne
On the co-orbital motion in the planar restricted three-body problem: the quasi-satellite motion revisited
published pages: , ISSN: 0923-2958, DOI: 10.1007/s10569-016-9749-1
Celestial Mechanics and Dynamical Astronomy 2020-03-23
2018 Jérôme Daquin, Ioannis Gkolias, Aaron J. Rosengren
Drift and Its Mediation in Terrestrial Orbits
published pages: , ISSN: 2297-4687, DOI: 10.3389/fams.2018.00035
Frontiers in Applied Mathematics and Statistics 4 2020-03-23
2018 Gabriella Pinzari
On the co-existence of maximal and whiskered tori in the planetary three-body problem
published pages: 52701, ISSN: 0022-2488, DOI: 10.1063/1.4986076
Journal of Mathematical Physics 59/5 2020-03-23
2018 Gabriella Pinzari
Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem
published pages: 0-0, ISSN: 0065-9266, DOI: 10.1090/memo/1218
Memoirs of the American Mathematical Society 255/1218 2020-03-23

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