Skip to main content

Stable and Chaotic Motions in the Planetary Problem

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.

Field of science

  • /natural sciences/physical sciences/astronomy/planetary science/planets
  • /natural sciences/mathematics
  • /natural sciences/physical sciences/astronomy/planetary science/celestial mechanics
  • /natural sciences/physical sciences/astronomy/astrophysics

Call for proposal

ERC-2015-STG
See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

UNIVERSITA DEGLI STUDI DI PADOVA
Address
Via 8 Febbraio 2
35122 Padova
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 827 622,70

Beneficiaries (2)

UNIVERSITA DEGLI STUDI DI PADOVA
Italy
EU contribution
€ 827 622,70
Address
Via 8 Febbraio 2
35122 Padova
Activity type
Higher or Secondary Education Establishments
UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Italy
EU contribution
€ 72 377,30
Address
Corso Umberto I, 40
80138 Napoli
Activity type
Higher or Secondary Education Establishments