Objectif 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. Champ scientifique natural sciencesphysical sciencesastronomyplanetary sciencesplanetsnatural sciencesphysical sciencesastronomyastrophysicsnatural sciencesphysical sciencesastronomyplanetary sciencescelestial mechanicsnatural sciencesmathematics Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Thème(s) ERC-StG-2015 - ERC Starting Grant Appel à propositions ERC-2015-STG Voir d’autres projets de cet appel Régime de financement ERC-STG - Starting Grant Institution d’accueil UNIVERSITA DEGLI STUDI DI PADOVA Contribution nette de l'UE € 827 622,70 Adresse VIA 8 FEBBRAIO 2 35122 Padova Italie Voir sur la carte Région Nord-Est Veneto Padova Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 827 622,70 Bénéficiaires (2) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire UNIVERSITA DEGLI STUDI DI PADOVA Italie Contribution nette de l'UE € 827 622,70 Adresse VIA 8 FEBBRAIO 2 35122 Padova Voir sur la carte Région Nord-Est Veneto Padova Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 827 622,70 UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II Italie Contribution nette de l'UE € 72 377,30 Adresse CORSO UMBERTO I, 40 80138 Napoli Voir sur la carte Région Sud Campania Napoli Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 72 377,30
